[User]
What is the rank of the matrix:
[[0, -9, 0, 0],
 [0, -6, 0, 0],
 [0, 0, 0, 0],
 [0, -6, 0, 0]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-14, 10, -12, -8],
 [4, 4, 8, -16],
 [-16, 8, -16, 0],
 [-2, 4, 0, -8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[8, -9, 3, -20],
 [-5, 10, -8, 9],
 [-10, 3, -9, 6],
 [1, 8, -4, 3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[3, 3, -3, 6],
 [4, 4, -4, 8],
 [-2, -2, 2, -4],
 [-4, -4, 4, -8]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[16, -9, 14, 1],
 [-16, -5, -10, -11],
 [16, 5, 10, 11],
 [28, -7, 22, 8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-8, 4, -8, 8],
 [11, -8, 7, -11],
 [-4, 12, 12, 4],
 [-20, 20, -4, 20]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-6, 9, -16, 20],
 [13, 0, 9, -6],
 [3, 3, -1, 2],
 [-9, -1, -10, 16]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-3, 10, 13, 4],
 [9, -16, -9, -9],
 [-1, -6, -16, 0],
 [9, -24, -25, -13]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-3, 0, -3, -9],
 [4, 0, 4, 12],
 [1, 0, 1, 3],
 [4, 0, 4, 12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-1, 0, 0, 2],
 [4, 0, 0, -8],
 [1, 0, 0, -2],
 [0, 0, 0, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[28, 12, 10, -8],
 [-8, -16, 2, -14],
 [-10, -18, 1, -16],
 [-14, -6, -3, 7]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-12, 12, 4, -8],
 [3, -3, -1, 2],
 [-9, 9, 3, -6],
 [-9, 9, 3, -6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[3, 6, 9, 0],
 [2, 4, 6, 0],
 [-1, -2, -3, 0],
 [0, 0, 0, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[9, 21, -12, 18],
 [0, 0, 0, 0],
 [9, 5, -8, 0],
 [-15, -3, 12, 6]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[16, 4, 0, 3],
 [16, 4, 0, 3],
 [-16, -24, -20, 2],
 [8, 4, 2, 1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-9, 3, -21, -9],
 [8, 4, 6, 6],
 [1, -7, 15, 3],
 [12, 6, 9, 9]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-8, -6, 8, -8],
 [12, -9, 6, -6],
 [8, 18, -20, 20],
 [16, 4, -8, 8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-23, -15, -11, 0],
 [-22, -14, -5, 4],
 [-1, 10, 10, 5],
 [-28, -22, -12, 2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-3, 9, 0, -6],
 [2, -6, 0, 4],
 [0, 0, 0, 0],
 [-4, 12, 0, -8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-13, -9, 0, 2],
 [-13, -13, -16, 0],
 [23, 8, 4, 7],
 [16, 26, 8, -16]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[8, 2, -26, -12],
 [12, -11, -1, 3],
 [8, -2, 26, 18],
 [12, 6, -24, -9]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-10, 11, 8, -17],
 [7, -13, -6, 12],
 [6, -3, -10, 9],
 [8, -10, 5, 16]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-2, 0, 2, -2],
 [4, 0, -4, 4],
 [0, 0, 0, 0],
 [0, 0, 0, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[6, 2, 12, 8],
 [-14, -10, -20, -16],
 [20, 12, 32, 24],
 [-14, -10, -20, -16]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[0, 0, 0, 0],
 [12, -14, -7, 18],
 [-20, -4, -6, 3],
 [28, 2, 9, 6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-16, -12, 8, 0],
 [-15, -12, 0, 12],
 [-8, -7, -6, 16],
 [-4, -4, -8, 16]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-4, -1, -1, 4],
 [4, 6, 18, -28],
 [5, 0, -3, 1],
 [-7, -8, 1, 1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[4, 0, 4, -4],
 [10, 0, 8, -14],
 [14, 0, 16, -10],
 [-5, 0, -12, -9]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-9, -20, 4, 12],
 [12, 16, -4, -12],
 [3, 4, -1, -3],
 [18, 8, -4, -12]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-2, 22, 16, 7],
 [-6, -14, 8, -19],
 [2, -6, -8, -11],
 [-1, 5, 5, 1]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-8, -3, -19, 1],
 [5, 6, -2, -12],
 [3, 2, -3, 2],
 [9, 3, 21, 1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-24, -12, 15, -3],
 [-4, -2, 0, -18],
 [-20, -10, 11, -13],
 [-16, -8, 9, -9]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[14, -5, -10, 5],
 [3, -3, -6, 3],
 [16, -7, -14, 7],
 [-2, 2, 4, -2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-4, 0, 4, 2],
 [12, 4, 12, 16],
 [-7, -1, 1, -2],
 [-20, -4, -4, -12]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-10, 5, -4, -2],
 [-3, 11, -1, -1],
 [-5, -2, -5, -18],
 [-3, 4, 1, 12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[8, 4, 12, -19],
 [-2, -2, -4, 8],
 [-19, -3, -22, 24],
 [8, -4, 4, 7]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[5, 17, -11, -2],
 [-12, 4, 4, 2],
 [14, 22, -18, -4],
 [-13, -25, 19, 4]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[12, -14, 0, -5],
 [6, -14, 1, -6],
 [-23, 8, -10, 11],
 [19, -4, 14, -13]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[0, 0, 0, 0],
 [14, -6, -12, -8],
 [8, -24, -16, 0],
 [2, -6, -4, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[4, -2, 0, 13],
 [-4, 2, 2, -16],
 [-4, 2, -2, -10],
 [8, -4, 8, 14]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-12, 16, -4, -4],
 [3, -4, 1, 1],
 [-3, 4, -1, -1],
 [12, -16, 4, 4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[17, -10, -20, 8],
 [-7, 8, 4, -4],
 [5, -2, 4, 0],
 [4, 0, 0, 0]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[0, -9, 18, -9],
 [6, -18, 27, -14],
 [7, -9, 10, -1],
 [4, -3, 4, 5]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-8, -6, -4, 10],
 [2, 25, -7, -20],
 [-11, 3, -20, 7],
 [-12, -9, -6, 15]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[8, 0, 8, -8],
 [-4, 0, 0, 4],
 [-18, 0, -20, 18],
 [6, 0, 4, -6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-2, -6, -3, 0],
 [-4, -8, 0, 4],
 [-4, -6, 3, 6],
 [-3, -6, 0, 3]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[9, 6, -6, 9],
 [-3, -2, 2, -3],
 [-6, -4, 4, -6],
 [-6, -4, 4, -6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-12, -10, 6, -14],
 [12, 10, -6, 14],
 [12, 14, -6, -2],
 [-2, 1, 1, -13]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-4, -2, -2, -2],
 [6, 3, 3, 3],
 [8, 4, 4, 4],
 [-4, -2, -2, -2]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[4, 1, 1, -2],
 [-8, -2, -2, 4],
 [-8, -2, -2, 4],
 [8, 2, 2, -4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[4, 2, -1, -1],
 [12, 6, -3, -3],
 [-16, -8, 4, 4],
 [4, 2, -1, -1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[10, -6, 3, 6],
 [12, -20, 2, 12],
 [8, -16, 1, 9],
 [2, -6, 0, 3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[3, -2, 15, 3],
 [-6, -4, 6, 0],
 [-3, -6, 21, 3],
 [11, 6, -5, 1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-8, -4, -8, -2],
 [-4, -2, -4, -1],
 [-8, -4, -8, -2],
 [-12, -6, -12, -3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[6, -7, -4, -5],
 [13, -2, -7, 5],
 [12, 10, 20, 18],
 [-9, 5, 2, 1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-4, 0, 14, -2],
 [8, -7, 7, -3],
 [0, 0, 0, 0],
 [8, -4, -8, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-6, 0, -12, -3],
 [8, 0, 16, 4],
 [-6, 0, -12, -3],
 [2, 0, 4, 1]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[20, -4, -10, -5],
 [-12, 2, 6, 3],
 [-24, 2, 12, 6],
 [28, -3, -14, -7]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-6, -6, -1, 16],
 [21, 21, 13, -19],
 [-19, -19, -16, 15],
 [14, 14, 9, -6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[29, -2, -14, 17],
 [33, -5, -15, 19],
 [1, 9, -1, -1],
 [-2, -15, 7, -4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[2, 4, 2, 1],
 [0, 0, 0, 0],
 [0, 0, 0, 0],
 [-8, -16, -8, -4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[8, 16, 0, 16],
 [2, 4, 0, 4],
 [0, 0, 0, 0],
 [8, 16, 0, 16]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[3, 6, -2, -3],
 [4, 9, -3, -6],
 [3, -7, -7, -9],
 [6, 2, -3, 6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-12, 12, 3, -3],
 [-4, 4, 1, -1],
 [16, -16, -4, 4],
 [-16, 16, 4, -4]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-2, 10, -5, 7],
 [28, -12, 7, 15],
 [13, -1, -8, 18],
 [10, 2, -11, 19]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-12, -16, 12, 0],
 [-6, -4, 8, -8],
 [0, -6, -3, 12],
 [12, 0, -20, 32]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[12, 6, -1, 5],
 [18, 3, -14, 4],
 [2, 10, 3, -4],
 [-8, 1, 4, -5]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-8, -8, 0, -1],
 [0, 0, -2, 3],
 [12, 12, 5, -6],
 [8, 8, -6, 10]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-20, 8, 20, -20],
 [11, 10, -3, 3],
 [-8, -4, 4, -4],
 [-9, 0, 7, -7]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[0, 2, -4, 3],
 [0, 6, -12, 9],
 [0, 4, -8, 6],
 [0, 0, 0, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[0, 2, -4, 4],
 [0, 0, 0, 0],
 [0, 4, -8, 8],
 [0, -2, 4, -4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[0, 0, -10, 1],
 [-6, -8, 4, -10],
 [-3, -9, 7, 2],
 [-1, -1, 19, -4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[4, 3, 2, 4],
 [-8, -6, -4, -8],
 [4, 3, 2, 4],
 [-8, -6, -4, -8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-4, -16, 10, 8],
 [15, -3, 21, 15],
 [3, -9, 12, 9],
 [-4, -2, -3, -2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-9, -1, -9, 5],
 [17, -2, 17, -10],
 [-14, 7, -14, 9],
 [3, 5, 3, -1]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[2, 2, 1, -3],
 [-4, -4, -2, 6],
 [0, 0, 0, 0],
 [0, 0, 0, 0]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[4, 14, 7, -6],
 [-10, 4, -1, -6],
 [0, -16, -11, -10],
 [4, -20, -7, 14]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[2, -24, 0, -4],
 [5, 20, 8, 6],
 [-9, -12, -12, -6],
 [-1, -28, -4, -6]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-9, -3, -9, 12],
 [-9, -3, -9, 12],
 [0, 0, 0, 0],
 [-6, -2, -6, 8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-9, 12, 6, -15],
 [-9, 18, 0, -21],
 [9, -9, -9, 12],
 [-12, 9, 15, -13]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-9, 9, 12, 0],
 [-6, 6, 8, 0],
 [3, -3, -4, 0],
 [3, -3, -4, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[25, 8, 2, -8],
 [-18, -5, -2, 6],
 [13, -8, 10, -8],
 [-12, 3, -6, 6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-4, 2, 10, 2],
 [-24, -12, -4, 12],
 [-2, -2, -3, 1],
 [10, 1, -9, -5]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[3, -9, 0, -12],
 [-1, 3, 0, 4],
 [3, -9, 0, -12],
 [4, -12, 0, -16]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-11, 4, 4, -12],
 [-2, 0, -8, -8],
 [8, -2, 8, 16],
 [10, -4, -8, 8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-6, -6, -2, 6],
 [6, 6, 2, -6],
 [-12, -12, -4, 12],
 [9, 9, 3, -9]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[12, -12, 0, -12],
 [-9, 9, 0, 9],
 [-6, 6, 0, 6],
 [-12, 12, 0, 12]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[12, 12, 18, 6],
 [-24, -15, -8, -14],
 [22, 10, 0, 18],
 [-10, 2, 8, -22]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-3, 0, 4, -1],
 [5, -10, -19, 8],
 [1, 13, 24, -1],
 [-2, -4, 6, 8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[12, -16, -12, -8],
 [-10, 0, 6, 0],
 [10, -10, -9, -5],
 [0, -10, -3, -5]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-16, 8, -4, 4],
 [-8, 4, -2, 2],
 [4, -2, 1, -1],
 [-12, 6, -3, 3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-8, -2, 0, -6],
 [8, 2, 0, 6],
 [-16, -4, 0, -12],
 [-4, -1, 0, -3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[0, 0, 0, 0],
 [16, 16, 0, -7],
 [4, 4, -7, 7],
 [8, 8, 6, -11]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[3, 22, 17, 22],
 [-7, 10, 1, 10],
 [12, 20, 22, 20],
 [-5, -1, -4, -1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[12, 8, 18, -8],
 [2, 13, 10, -13],
 [8, 2, 10, -2],
 [0, -20, -12, 20]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[6, 6, -4, 0],
 [0, 0, 0, 0],
 [9, 9, -6, 0],
 [3, 3, -2, 0]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[18, 12, -18, 0],
 [-6, -4, 6, 0],
 [-2, 12, -3, -10],
 [16, 16, -18, -4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[9, 9, 18, 12],
 [-5, -1, 1, 5],
 [7, 10, 18, -6],
 [-3, 2, 2, -22]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[2, 0, 9, 6],
 [0, 0, -6, -8],
 [1, 0, 6, 5],
 [-1, 0, -9, -9]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-23, 13, -4, -1],
 [9, -3, 12, 3],
 [-11, 8, -1, -5],
 [13, -23, -12, 35]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-3, -7, -8, -4],
 [-2, 9, 25, 15],
 [-1, 1, 4, -8],
 [7, 13, 12, 16]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-19, -28, -18, 2],
 [15, 21, 15, -3],
 [-14, -16, -12, -8],
 [-9, -8, -18, 27]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[6, -6, -6, 0],
 [-8, 8, 8, 0],
 [2, -2, -2, 0],
 [-2, 2, 2, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-16, 0, 0, -4],
 [4, 0, 0, 1],
 [0, 0, 0, 0],
 [4, 0, 0, 1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[8, 8, -16, -12],
 [0, 1, -6, -5],
 [-4, 6, 4, 5],
 [-20, 3, 14, 13]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-6, 9, 21, -3],
 [12, 9, -3, 21],
 [-4, -3, 1, -7],
 [16, 12, -4, 28]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[4, 8, 16, -12],
 [1, 2, 4, -3],
 [-1, -2, -4, 3],
 [1, 2, 4, -3]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[12, -4, 8, 12],
 [6, -2, 4, 6],
 [-3, 1, -2, -3],
 [3, -1, 2, 3]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-25, -2, -21, -15],
 [4, 1, 0, 2],
 [10, -3, 6, 4],
 [0, 4, 12, 4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[12, -8, -4, 16],
 [2, -12, 6, 0],
 [8, -16, 4, 8],
 [-6, 4, 2, -8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[0, 0, 0, 0],
 [-6, -8, -6, 2],
 [6, 8, 6, -2],
 [-12, -16, -12, 4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-8, 8, -6, -2],
 [12, -15, 15, 15],
 [0, -3, 6, 12],
 [12, -10, 5, -5]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[3, 2, 10, 1],
 [1, 4, 0, -3],
 [0, 1, -1, -1],
 [3, 6, 6, -3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-15, -21, 23, -10],
 [-9, -15, 23, -12],
 [-14, 10, 0, 11],
 [17, 5, -10, -3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[5, 0, -1, 12],
 [5, 0, 1, 13],
 [1, 3, -4, 11],
 [15, -12, -3, -6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-12, -12, 3, 3],
 [-16, -16, 4, 4],
 [-16, -16, 4, 4],
 [12, 12, -3, -3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[2, -4, -2, -14],
 [8, 2, 6, -8],
 [-1, -7, -6, -17],
 [9, 0, 5, -15]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-2, -6, 4, 4],
 [8, -6, 14, -4],
 [9, -3, 12, -6],
 [7, 1, 6, -6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[2, -17, -13, -15],
 [2, -17, -13, -15],
 [6, -15, -12, -18],
 [6, -11, -9, -15]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[3, -2, -3, 1],
 [-12, 8, 12, -4],
 [0, 0, 0, 0],
 [-3, 2, 3, -1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-9, -6, 9, -6],
 [3, 2, -3, 2],
 [-6, -4, 6, -4],
 [-6, -4, 6, -4]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[7, -2, -1, -13],
 [14, -4, 0, -24],
 [5, 10, -13, -1],
 [12, -2, -4, -22]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-5, 11, 9, 5],
 [3, -8, -6, -4],
 [-4, -1, 3, -3],
 [-5, 4, 6, 0]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[4, -2, -1, 2],
 [-12, 6, 3, -6],
 [11, -3, 11, 3],
 [2, 2, 16, -2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[0, 0, 0, 0],
 [-4, -10, -14, 6],
 [-2, -5, -7, 3],
 [8, 20, 28, -12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-12, 8, -4, 8],
 [9, 14, 11, -2],
 [-15, -10, -13, 6],
 [-6, -6, -6, 2]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[0, -12, 0, 9],
 [0, 8, 0, -6],
 [0, 12, 0, -9],
 [0, -16, 0, 12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[6, -3, 9, 9],
 [0, 0, 0, 0],
 [-6, -12, 6, 16],
 [-9, -6, -3, 4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[9, -9, 12, -9],
 [-3, 3, -4, 3],
 [6, -6, 8, -6],
 [-9, 9, -12, 9]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-12, -5, -6, -12],
 [1, 0, 19, 0],
 [-4, 21, -1, 9],
 [7, -15, -4, -3]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-10, -7, 7, -9],
 [10, 6, 4, 12],
 [3, 1, 10, 6],
 [3, 2, -1, 3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[0, 0, 0, 0],
 [-6, 12, -3, -9],
 [6, -12, 3, 9],
 [-8, 16, -4, -12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-14, -11, 14, -6],
 [-17, -8, 2, -12],
 [26, 5, 7, 22],
 [9, -9, 21, 14]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[5, -1, 14, 12],
 [-1, 1, -8, -6],
 [7, 3, -9, -3],
 [13, 3, 0, 6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[2, 8, 4, -4],
 [-6, 6, -7, 12],
 [9, 2, 9, -15],
 [-9, 8, -14, 21]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-15, 15, -2, -4],
 [-18, 9, 3, -12],
 [-6, 18, -8, 8],
 [12, 4, -8, 16]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[1, 4, -1, -4],
 [-2, -8, 2, 8],
 [-4, -16, 4, 16],
 [3, 12, -3, -12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-14, 4, 8, 6],
 [-24, 4, 8, 12],
 [-22, 2, 4, 12],
 [4, -9, -18, 3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[4, 8, 1, -12],
 [-6, -4, -7, 16],
 [-4, -6, 2, 4],
 [-4, -6, 9, -8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[0, -16, -6, 24],
 [3, 4, -12, 5],
 [18, 15, 6, -3],
 [-15, -30, 2, 21]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-28, -12, 0, 0],
 [0, 0, 12, 0],
 [-6, 11, 2, 10],
 [24, 13, 4, 2]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-12, -14, -17, 15],
 [3, -2, 5, -10],
 [3, 5, 5, -3],
 [11, 4, 10, -17]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[0, 9, -9, 12],
 [0, -6, 6, -8],
 [0, 0, 0, 0],
 [0, -6, 6, -8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-9, 5, -3, -7],
 [-18, 10, -6, -14],
 [-14, -2, -2, -18],
 [6, -7, 3, 2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[8, -4, 18, -12],
 [6, -8, 11, -9],
 [2, 4, 7, -3],
 [4, -16, 2, -6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-20, 13, -3, -6],
 [20, -9, -1, 8],
 [-20, 11, -1, -7],
 [0, -2, 2, -1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[2, 3, 0, -3],
 [14, 12, 0, -16],
 [-13, -6, 0, 12],
 [7, -3, 0, -3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[5, -2, 3, -1],
 [-9, 10, -11, -1],
 [5, -2, 3, -1],
 [-10, 4, -6, 2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-6, -3, 0, 9],
 [-16, -8, 3, 9],
 [10, 5, -1, -10],
 [-10, -5, 2, 5]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[3, -1, 2, 2],
 [-3, 1, -2, -2],
 [3, -1, 2, 2],
 [-12, 4, -8, -8]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[4, 0, 0, 0],
 [4, 0, 0, 0],
 [-4, 0, 0, 0],
 [4, 0, 0, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[7, -9, 10, -8],
 [1, 19, 1, -1],
 [2, 14, 3, -7],
 [-10, 6, -14, 10]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[0, 8, 8, 8],
 [0, 0, 0, 0],
 [0, -6, -6, -6],
 [0, 2, 2, 2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-6, -6, -6, 12],
 [0, 0, 0, 0],
 [-2, -2, -2, 4],
 [-8, -8, -8, 16]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-12, -4, -16, -4],
 [-2, 4, 10, -6],
 [-1, -5, -14, 5],
 [-5, -4, -13, 1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[8, 16, -4, -16],
 [-2, -4, 1, 4],
 [0, 0, 0, 0],
 [8, 16, -4, -16]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-18, 20, -12, -14],
 [11, -5, 4, 3],
 [-16, 12, -8, -8],
 [-5, -6, 2, 5]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[10, -11, -11, 11],
 [-3, -13, 5, 4],
 [14, 2, -2, 0],
 [-3, -13, 5, 4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-6, 12, -18, -8],
 [-8, 16, -5, 2],
 [0, 0, -12, -8],
 [0, 0, -12, -8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-17, -8, 18, 14],
 [-15, -8, 14, 18],
 [-11, -14, 6, 22],
 [0, -14, -4, 4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-7, 14, 17, 12],
 [-6, 2, -12, 17],
 [5, 0, 19, -18],
 [0, 2, 30, -16]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[4, 3, 2, 4],
 [3, 11, 12, 11],
 [-15, 8, -4, -10],
 [10, -17, -2, 2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[0, 0, 0, 0],
 [4, 0, -12, 8],
 [4, 0, -12, 8],
 [-2, 0, 6, -4]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-3, 3, 9, -6],
 [-3, 3, 9, -6],
 [-3, 3, 9, -6],
 [1, -1, -3, 2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-12, 2, 13, -7],
 [3, 3, -5, 7],
 [-3, 3, 2, 2],
 [-9, -1, 11, -9]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-12, 0, -3, -12],
 [28, 9, 13, 7],
 [4, 6, 5, -10],
 [-32, -12, -16, -4]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[16, 4, -12, -12],
 [-12, 7, 4, 14],
 [12, 5, -10, -8],
 [8, -6, -2, -10]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-1, -1, 2, 10],
 [-7, 13, 14, -10],
 [-5, 7, 10, 2],
 [-4, 6, 8, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[3, -1, 5, 10],
 [-12, -15, 0, -12],
 [12, 13, 0, 11],
 [3, -7, 5, 7]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[6, -12, -3, 0],
 [-8, 16, 4, 0],
 [-6, 12, 3, 0],
 [0, 0, 0, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[19, 0, -1, 23],
 [-4, 9, 4, 7],
 [20, -6, -4, 16],
 [-8, 9, 4, 2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-6, 10, 15, -19],
 [-15, -4, -10, 7],
 [4, 0, 8, -12],
 [3, 12, 2, 9]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[12, 7, 0, -14],
 [-2, 0, 14, 14],
 [-13, -8, -5, 11],
 [-10, -7, -14, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[9, 3, -5, -3],
 [-8, 12, 20, 0],
 [12, 4, -4, -4],
 [16, -2, -10, -4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[1, -1, 3, 0],
 [4, -4, 12, 0],
 [-4, 4, -12, 0],
 [-2, 2, -6, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[14, 6, -18, -12],
 [-15, 9, 0, 18],
 [-6, -6, 12, 4],
 [17, -3, -9, -18]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[12, -3, 12, 0],
 [8, -2, 8, 0],
 [-16, 4, -16, 0],
 [12, -3, 12, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[3, -18, 17, -1],
 [22, -16, 2, 26],
 [-6, -3, 9, -9],
 [-17, 8, 6, -21]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[4, 5, 9, -17],
 [8, -7, -5, 17],
 [11, -1, 4, -4],
 [8, 1, 9, -1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-15, -10, -8, -9],
 [6, -13, -2, -14],
 [3, 6, -14, 9],
 [15, 4, 16, 1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[3, 12, -9, 9],
 [-3, -12, 9, -9],
 [1, 4, -3, 3],
 [4, 16, -12, 12]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[20, 12, -10, -4],
 [8, 2, 4, -2],
 [16, -2, 16, -6],
 [-20, 4, -22, 8]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[0, 0, 0, 0],
 [-4, 0, -3, 4],
 [-8, 0, -6, 8],
 [8, 0, 6, -8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-7, 5, 5, 4],
 [-15, -8, 10, 0],
 [20, -12, -12, -8],
 [11, -7, -7, -5]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[6, 13, 2, -4],
 [-18, -15, 2, -4],
 [-21, -25, 1, 3],
 [-3, -27, -9, 13]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-9, -6, -9, -9],
 [-6, -4, -6, -6],
 [-12, -8, -12, -12],
 [-9, -6, -9, -9]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-10, -2, 1, 2],
 [-4, -25, 18, 14],
 [14, 16, -11, -10],
 [4, -19, 14, 10]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[4, -4, 12, -8],
 [-16, 18, -28, 0],
 [-16, 6, 6, -6],
 [24, -16, 12, 4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[6, 1, 0, -5],
 [4, 10, 14, 13],
 [0, 4, 6, 7],
 [8, -4, -8, -16]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[2, 4, -6, 2],
 [-4, -8, 12, -4],
 [2, 4, -6, 2],
 [1, 2, -3, 1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[8, 4, -4, -28],
 [-9, -9, 6, 12],
 [9, -6, -6, -12],
 [-4, 10, 2, 14]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[17, 5, -6, -3],
 [4, 5, 10, 25],
 [14, -7, -6, -27],
 [-3, -11, 7, -11]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[4, 16, 20, -28],
 [-5, 4, 13, -13],
 [-13, -16, -8, 19],
 [-24, -12, 13, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-12, 9, -15, 0],
 [5, 2, 7, 6],
 [4, -13, 5, -10],
 [-7, -3, -14, -10]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-6, -6, 9, -9],
 [-6, -6, 9, -9],
 [0, 0, 0, 0],
 [4, 4, -6, 6]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-12, -6, 2, 16],
 [18, 9, -3, -24],
 [8, 4, -4, 0],
 [-12, -6, 2, 16]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[2, 2, 0, -8],
 [-2, -2, 0, 8],
 [1, 1, 0, -4],
 [1, 1, 0, -4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[9, 9, -9, 0],
 [9, 9, -9, 0],
 [3, 3, -3, 0],
 [-3, -3, 3, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-4, -1, 3, -2],
 [10, 16, -12, 2],
 [-14, 6, 6, -18],
 [-16, 1, 9, -18]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-16, -4, 4, -10],
 [-13, -1, 1, -10],
 [8, 11, -11, 4],
 [14, -1, 1, 12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[4, -6, -3, 1],
 [4, -6, 0, 16],
 [-16, 24, 12, -4],
 [-8, 12, 4, -12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[0, 0, 0, 0],
 [6, 3, -3, -12],
 [2, 1, -1, -4],
 [-4, -2, 2, 8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-24, -4, 14, 14],
 [-16, -5, 10, 10],
 [4, -25, 5, 5],
 [4, 17, -7, -7]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-9, 4, 12, -1],
 [-13, 4, 4, -12],
 [-12, 4, 0, -16],
 [7, 1, 8, 10]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-12, 8, 4, 4],
 [6, -4, -2, -2],
 [-6, 4, 2, 2],
 [9, -6, -3, -3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-12, -3, 0, 6],
 [12, 14, -13, 3],
 [-8, -6, 9, 5],
 [6, 3, -3, -3]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-8, 4, -4, -6],
 [-16, 8, -8, -12],
 [4, -2, 2, 3],
 [-8, 4, -4, -6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-6, -15, -22, 14],
 [-10, -13, 4, 20],
 [-2, -11, -6, 18],
 [12, 18, 25, -13]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-12, 0, 8, 12],
 [6, 0, -4, -6],
 [6, 0, -4, -6],
 [-12, 0, 8, 12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-4, 21, 28, -12],
 [4, -3, -4, 12],
 [2, 4, 12, -4],
 [2, -3, 6, -9]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-1, 0, -2, -3],
 [-1, -3, -5, 6],
 [0, -4, -4, 12],
 [4, 0, 8, 12]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-12, -9, -21, -6],
 [4, -1, -25, 8],
 [-10, -7, 5, 22],
 [-28, -16, 8, 4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-8, -6, -2, -4],
 [-16, -12, -4, -8],
 [-16, -12, -4, -8],
 [0, 0, 0, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-4, 3, 0, -3],
 [4, -3, 0, 3],
 [12, -9, 0, 9],
 [-12, 9, 0, -9]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-12, 10, -12, 7],
 [-28, 16, -22, 5],
 [4, -5, -1, 11],
 [36, -17, 31, -15]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[8, 4, -6, -4],
 [4, 2, -3, -2],
 [-8, -4, 6, 4],
 [4, 2, -3, -2]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[8, -4, 0, -8],
 [6, -3, 0, -6],
 [-6, 3, 0, 6],
 [-4, 2, 0, 4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[2, -2, 2, 1],
 [2, -2, 2, 1],
 [-6, 6, -6, -3],
 [-4, 4, -4, -2]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-20, -9, -7, 15],
 [20, 9, 7, -15],
 [-6, -9, 21, -6],
 [10, 12, -24, 5]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-8, 4, -9, -6],
 [-9, -8, -7, 2],
 [-6, -12, -3, 6],
 [-7, -4, -6, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[0, 0, 0, 0],
 [0, -8, -8, 0],
 [0, 0, 0, 0],
 [0, -16, -16, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[0, 0, 0, 0],
 [-8, -6, -6, -2],
 [8, 6, 6, 2],
 [-12, -9, -9, -3]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-1, 18, 14, -10],
 [-1, 18, 14, -10],
 [6, -10, -7, 4],
 [13, -10, -6, 2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-2, 10, 1, -5],
 [5, -8, 15, -27],
 [7, 9, -28, 5],
 [7, 2, -21, 3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-8, -12, -4, -4],
 [8, -22, -26, -8],
 [4, -12, -20, -12],
 [-6, -16, -8, -4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-7, 4, 5, 19],
 [7, 17, 19, 20],
 [-2, 4, 14, 15],
 [-3, -5, -7, -5]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[20, 5, 13, -7],
 [13, 7, 19, -13],
 [-7, 2, -8, -10],
 [9, 6, 15, -12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[1, -5, 3, -5],
 [-3, 8, -1, 5],
 [7, 15, -3, -7],
 [-1, -11, 7, -7]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[16, -5, 2, 14],
 [-16, 13, 12, -14],
 [-16, -2, -8, -4],
 [0, -1, -8, -10]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-4, 0, 3, -4],
 [0, -16, -5, 24],
 [7, 13, 14, -5],
 [-1, -15, -9, 19]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-4, 2, 2, 1],
 [12, -6, -6, -3],
 [0, 0, 0, 0],
 [0, 0, 0, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[24, -12, 6, -12],
 [-12, 7, 0, 8],
 [8, -4, 2, -4],
 [-12, 1, -18, -4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-2, -16, -10, -4],
 [1, 16, 7, 2],
 [-7, -12, -24, -14],
 [3, -4, 8, 6]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-4, -8, -6, -12],
 [4, -4, -12, -12],
 [-8, 0, 12, 8],
 [-4, 2, 9, 8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[0, 8, 0, -16],
 [0, 6, 0, -12],
 [-3, 1, 2, 6],
 [3, 1, -2, -10]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[0, -1, -3, 4],
 [7, -12, -1, 13],
 [-4, 8, 4, -12],
 [-2, 3, -1, -2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[7, -5, -14, -12],
 [-1, -13, -10, -6],
 [18, 10, -16, -18],
 [-10, -18, -2, 3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[0, 0, 0, 0],
 [-6, 8, -4, -6],
 [-3, 4, -2, -3],
 [0, 0, 0, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[0, 2, 3, -4],
 [0, 6, 9, -12],
 [0, 8, 12, -16],
 [0, -2, -3, 4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[10, -3, -13, 0],
 [6, -9, -6, 4],
 [4, -14, -2, 9],
 [-10, 19, 9, -12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[16, 12, 4, 12],
 [12, 9, -19, 9],
 [0, 0, 4, 0],
 [-4, -3, -3, -3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[2, 2, 1, -3],
 [2, 2, 1, -3],
 [8, 8, 4, -12],
 [4, 4, 2, -6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-16, 8, -12, 8],
 [-4, 2, -3, 2],
 [-4, 2, -3, 2],
 [12, -6, 9, -6]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[4, 0, -4, 4],
 [-16, -12, 16, 8],
 [0, 12, 0, -24],
 [-10, 6, 10, -22]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-8, 0, 13, -13],
 [3, -6, 9, 3],
 [-9, 8, -1, -11],
 [-15, 10, 7, -19]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-9, 15, 19, -6],
 [0, -3, -7, 3],
 [3, -4, -4, 1],
 [-9, 15, 19, -6]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[8, -6, 0, 2],
 [12, -9, 0, 3],
 [12, -9, 0, 3],
 [8, -6, 0, 2]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[5, -2, -2, -7],
 [5, -6, 6, 9],
 [17, -18, -2, -3],
 [-7, 6, 3, 6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-13, -5, -11, -5],
 [7, -8, 2, 8],
 [3, -5, 5, -7],
 [-1, -24, 2, -16]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[6, 6, 2, 4],
 [12, 12, 4, 8],
 [-9, -9, -3, -6],
 [-3, -3, -1, -2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[6, -4, -2, 8],
 [-12, 8, 4, -16],
 [9, -6, -3, 12],
 [-3, 2, 1, -4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-1, -1, -1, 4],
 [-3, -3, -3, 12],
 [-2, -2, -2, 8],
 [4, 4, 4, -16]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-3, -4, 18, 8],
 [9, -26, 24, 16],
 [7, -16, 16, 14],
 [7, -24, 28, 18]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[0, 8, -8, 0],
 [0, 6, -6, 0],
 [0, 4, -4, 0],
 [0, -2, 2, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-21, 3, -32, 2],
 [20, 0, 36, -4],
 [10, -3, 8, -1],
 [6, -18, -3, 18]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-12, 4, -8, 16],
 [9, 8, 2, -16],
 [14, 10, 4, -24],
 [-11, -11, -2, 20]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[2, 11, 4, -4],
 [-20, -7, -20, -5],
 [-14, 5, -14, -8],
 [-16, 7, -19, -10]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[6, -12, -8, -10],
 [12, -12, -12, -8],
 [-3, 0, 2, -1],
 [12, -15, -13, -11]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[16, -6, -4, 10],
 [-8, -12, 12, -12],
 [-26, 12, 9, -16],
 [2, 18, -13, 10]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[9, 5, -7, 9],
 [12, 1, -11, 15],
 [-3, 7, 5, -7],
 [12, 2, -10, 18]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[20, 4, -16, 14],
 [-12, 1, -9, -2],
 [1, -3, 22, -4],
 [-22, -3, -19, -20]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[10, 14, -6, 1],
 [10, 18, -2, -3],
 [-2, 2, 6, -5],
 [2, -2, -6, 5]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[4, 0, 2, 2],
 [8, 0, 4, 4],
 [0, 0, 0, 0],
 [8, 0, 4, 4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[14, 9, -5, 7],
 [-8, -9, -4, 7],
 [6, 3, 4, 8],
 [4, 6, 7, -7]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[2, 2, 2, -2],
 [-2, -2, -2, 2],
 [-6, -6, -6, 6],
 [2, 2, 2, -2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[4, -28, -6, 4],
 [2, 1, -13, -13],
 [-1, 16, 9, 1],
 [8, 13, -4, -17]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-8, 6, 12, -13],
 [0, 0, 18, -15],
 [-4, 3, -15, 11],
 [4, -3, 15, -11]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[7, -4, -9, -9],
 [-5, 8, 3, 3],
 [-3, 0, 5, 5],
 [6, -12, -2, -2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-11, -1, 8, -4],
 [10, 1, 17, 9],
 [-5, -3, 4, -2],
 [-11, 2, -7, -7]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-13, -18, 10, 14],
 [-13, -19, 15, 6],
 [23, 10, -10, -18],
 [-11, 2, 1, 9]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[3, -3, -3, -1],
 [6, -6, -6, -2],
 [3, -3, -3, -1],
 [0, 0, 0, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-20, 20, -1, 7],
 [8, -20, -5, -5],
 [8, -20, 4, -18],
 [-16, 4, -17, 19]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-7, -10, 5, 6],
 [1, 0, -5, 12],
 [4, 6, -2, -6],
 [-16, -20, 20, -12]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-7, 20, 1, 7],
 [8, -14, 0, -7],
 [9, 1, -8, 7],
 [-1, -14, 9, -15]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-2, 6, -2, -6],
 [-2, 6, -2, -6],
 [12, 20, 8, 4],
 [2, 8, 1, -2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[12, -24, -6, -3],
 [-8, 8, 6, 11],
 [8, -16, -4, -2],
 [-13, 28, 6, 1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-8, -14, 11, 15],
 [-8, -4, -2, -2],
 [16, 18, -9, -13],
 [1, -7, 10, 13]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-1, 5, -9, 1],
 [6, 16, -22, 2],
 [9, 17, 2, 8],
 [20, -2, -16, -12]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[0, -4, -12, 12],
 [0, 1, 3, -3],
 [0, 1, 3, -3],
 [0, 3, 9, -9]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[6, -6, 0, -8],
 [13, -9, 6, -18],
 [-6, 0, -9, 9],
 [-9, 3, -9, 13]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-1, -5, -6, 0],
 [7, 4, 10, -5],
 [2, -5, -12, 3],
 [2, 11, -4, 11]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[25, -19, -13, -23],
 [-24, 6, 5, 18],
 [3, -9, 6, -5],
 [8, 16, 5, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-2, -2, 8, -4],
 [-3, -3, 12, -6],
 [-1, -1, 4, -2],
 [2, 2, -8, 4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[4, -1, -2, -2],
 [8, -2, -4, -4],
 [-16, 4, 8, 8],
 [-12, 3, 6, 6]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[0, 0, 0, 0],
 [-16, -8, -4, 16],
 [12, 6, 3, -12],
 [8, 4, 2, -8]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[8, 8, 16, 12],
 [-6, -6, -12, -9],
 [-2, -2, -4, -3],
 [2, 2, 4, 3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[0, -4, 8, -4],
 [0, -8, 16, -8],
 [0, 6, -12, 6],
 [0, -2, 4, -2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[0, 0, 0, 0],
 [-8, -16, -4, 8],
 [4, 8, 2, -4],
 [2, 4, 1, -2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-3, -3, -2, -4],
 [0, -3, -3, -9],
 [-6, -9, -7, -17],
 [-9, -6, -3, -3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[8, 6, -10, 4],
 [-8, 10, -6, -20],
 [16, 12, -20, 8],
 [-8, -2, 6, -8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-3, 9, -12, 3],
 [4, -12, 16, -4],
 [4, -12, 16, -4],
 [1, -3, 4, -1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[14, 9, -3, -14],
 [-26, 0, -8, 20],
 [-29, -1, 2, 27],
 [-4, -10, 3, 5]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[11, 11, -8, 4],
 [3, -6, 9, -6],
 [-2, -11, 11, 2],
 [-5, 1, -4, 4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[6, -12, 9, -9],
 [6, -18, 9, -15],
 [0, -6, 0, -6],
 [4, 6, 6, 8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-5, -3, 3, -1],
 [-3, 20, 12, 26],
 [26, 6, -12, 1],
 [-5, -13, -9, -20]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-12, 12, -3, -6],
 [4, -4, 1, 2],
 [0, 0, 0, 0],
 [-8, 8, -2, -4]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[11, -6, 7, 1],
 [6, 9, -5, 1],
 [-13, 12, 9, 12],
 [4, -12, 0, -6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[7, -1, -11, 3],
 [15, 3, -3, 18],
 [4, 0, -4, 3],
 [-12, 4, 28, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[20, 9, -7, 10],
 [0, 5, 5, -6],
 [32, -12, -12, 8],
 [-10, 8, -4, 11]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[7, -12, -15, 0],
 [-8, 12, 12, -4],
 [-7, 6, -3, -14],
 [-1, 3, 6, 3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[4, -4, -16, 7],
 [4, -4, -16, 7],
 [24, 32, -12, 0],
 [4, 12, 8, -5]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[8, 8, 16, -16],
 [0, 0, 0, 0],
 [4, 4, 8, -8],
 [8, 8, 16, -16]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[3, -1, -5, -2],
 [3, -1, -8, -3],
 [-3, 1, 8, 3],
 [-24, 8, -20, -4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[8, 12, -12, 4],
 [-4, 6, 10, -6],
 [6, 6, -10, 4],
 [-2, -12, 0, 2]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[2, 6, -4, 14],
 [12, 4, -8, 4],
 [2, 6, -4, 14],
 [-7, 3, 2, 11]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-13, 8, 7, 5],
 [-1, -16, -11, 14],
 [3, -12, -1, 13],
 [16, -7, -6, -8]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[16, -4, -7, 15],
 [8, 2, 2, 8],
 [-4, 6, -6, -8],
 [10, 0, 3, 11]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-7, -15, -2, 9],
 [1, -5, 8, -3],
 [-1, 24, 0, -9],
 [-12, -28, 4, 12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[6, 1, -5, -10],
 [-20, -7, 13, -7],
 [0, -2, -2, -22],
 [-12, -4, 8, -2]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-2, -8, -4, -8],
 [-1, -4, -2, -4],
 [-1, -4, -2, -4],
 [-1, -4, -2, -4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-4, 3, 2, -2],
 [4, -3, -2, 2],
 [-12, 9, 6, -6],
 [8, -6, -4, 4]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[3, 1, -8, -24],
 [4, -8, -20, -4],
 [3, -3, -12, -12],
 [-4, 3, 15, 19]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[0, -2, 1, -3],
 [4, 8, 0, -16],
 [-4, -10, 1, 13],
 [-1, 2, -2, 10]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[3, 3, 3, -3],
 [-6, 6, -12, 12],
 [-2, -12, 3, -3],
 [-6, -6, -6, 6]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-6, 0, 3, -6],
 [-4, 0, 2, -4],
 [-6, 0, 3, -6],
 [2, 0, -1, 2]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-2, 2, 0, 3],
 [6, -6, 0, -9],
 [4, -4, 0, -6],
 [-2, 2, 0, 3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[0, 0, 0, 0],
 [0, 0, 0, 0],
 [0, 0, 0, 0],
 [4, -8, 2, 2]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[10, 12, 29, 4],
 [20, -7, 8, 4],
 [-18, 0, -13, 8],
 [12, -1, 16, 20]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-4, 7, 24, -21],
 [0, 6, 32, -26],
 [-3, 4, 2, -3],
 [-12, 6, -8, 2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[0, 0, 0, 0],
 [6, 0, -9, -3],
 [0, 0, 0, 0],
 [4, 0, -6, -2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[17, 20, -14, -6],
 [-2, -13, -7, -6],
 [12, 17, -1, 2],
 [11, 1, 7, 6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-12, -16, 16, 12],
 [-6, -8, 8, 6],
 [3, 4, -4, -3],
 [6, 8, -8, -6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[0, 6, -6, 9],
 [0, -6, 6, -9],
 [0, -2, 2, -3],
 [0, 4, -4, 6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-5, 4, 4, 10],
 [-9, 4, -11, 3],
 [8, -3, -3, -16],
 [0, 2, 7, 5]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[7, 2, -2, -14],
 [7, 2, -2, -14],
 [-7, -2, 2, -2],
 [-1, 6, 5, -8]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[3, -9, 3, 3],
 [-4, -3, -4, 5],
 [3, 6, 3, -6],
 [2, 14, 2, -10]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[0, 0, 0, 0],
 [0, 8, -12, 16],
 [0, 4, -6, 8],
 [0, -4, 6, -8]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[4, -9, 2, 5],
 [2, 9, -8, -11],
 [-4, 12, -4, -8],
 [-2, 6, -2, -4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[4, 3, 0, 4],
 [4, -2, -6, 4],
 [18, 11, -3, 18],
 [14, 13, 3, 14]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-3, -2, -2, 1],
 [-12, -8, -8, 4],
 [9, 6, 6, -3],
 [-3, -2, -2, 1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-10, -10, -1, -1],
 [-8, -3, 1, 1],
 [-14, -5, 6, 6],
 [-17, 0, 13, 13]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[12, 4, 8, 4],
 [-3, -1, -2, -1],
 [-3, -1, -2, -1],
 [6, 2, 4, 2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[8, 2, 2, 6],
 [-4, -1, -1, -3],
 [-16, -4, -4, -12],
 [-4, -1, -1, -3]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[4, -2, 4, -8],
 [4, -2, 4, -8],
 [-4, 2, -4, 8],
 [2, -1, 2, -4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[6, -6, 3, 6],
 [6, -6, 3, 6],
 [2, -2, 1, 2],
 [2, -2, 1, 2]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[8, -2, 0, -2],
 [12, -3, 0, -3],
 [16, -4, 0, -4],
 [-16, 4, 0, 4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-6, 3, 12, -6],
 [4, -2, -8, 4],
 [4, -2, -8, 4],
 [8, -4, -16, 8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[6, -4, -2, 2],
 [-12, 8, 4, -4],
 [-9, 6, 3, -3],
 [3, -2, -1, 1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[8, -4, 8, 8],
 [-8, 4, -8, -8],
 [0, 0, 0, 0],
 [8, -4, 8, 8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-2, 4, -10, -6],
 [8, -7, -23, -9],
 [-2, -1, 20, 9],
 [-11, 15, -1, -4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[0, 12, -4, -16],
 [-4, -15, 4, 13],
 [-16, -21, 3, 0],
 [16, 6, 2, 20]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[0, 0, 0, 0],
 [-4, -2, 0, -6],
 [8, 4, 0, 12],
 [4, 2, 0, 6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[3, -4, 2, 19],
 [-12, -19, 17, -16],
 [-13, -22, 28, -3],
 [6, -4, -4, 24]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-12, 28, -8, -20],
 [-13, -4, -12, 16],
 [10, -7, 8, -1],
 [-17, 12, -12, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-1, 3, 4, 2],
 [-2, 6, 8, 4],
 [4, -12, -16, -8],
 [4, -12, -16, -8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-9, -13, -6, 1],
 [-4, 20, 16, -12],
 [9, 5, -1, 2],
 [5, 9, 1, -4]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[8, 8, 0, 8],
 [-6, -6, 0, -6],
 [-2, -2, 0, -2],
 [6, 6, 0, 6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[2, 2, 3, -3],
 [-2, -2, -3, 3],
 [0, 0, 0, 0],
 [-8, -8, -12, 12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-8, -5, -3, 10],
 [-10, -7, -3, 8],
 [10, 8, 2, -2],
 [10, 9, 1, 4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-6, 6, -6, -2],
 [12, -12, 12, 4],
 [-12, 12, -12, -4],
 [0, 0, 0, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[1, 4, -2, -1],
 [0, 0, 0, 0],
 [-2, -8, 4, 2],
 [3, 12, -6, -3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-7, -18, -5, -1],
 [-7, 22, 15, -1],
 [31, 12, -19, 19],
 [13, 28, 7, 1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-1, 19, -19, 9],
 [-2, -22, 2, -12],
 [5, -8, 19, 6],
 [-4, 7, -24, -1]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[12, 4, -12, 8],
 [0, 0, 0, 0],
 [-9, -3, 9, -6],
 [3, 1, -3, 2]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-2, 2, 3, -1],
 [-12, -16, 8, -32],
 [-2, -4, -1, -3],
 [-6, 0, 5, -5]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[1, 3, 4, -2],
 [1, 3, 4, -2],
 [3, 9, 12, -6],
 [2, 6, 8, -4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-6, -5, 3, 3],
 [7, 4, -10, -8],
 [12, 9, -5, -13],
 [8, 5, -8, -10]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[8, -12, 20, 2],
 [-8, 10, -16, -3],
 [6, -14, 25, -1],
 [-4, -2, 6, -5]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[14, 6, -8, 2],
 [21, -4, 11, 10],
 [-15, 4, -9, -6],
 [-1, 6, -13, -8]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-3, 3, 4, 0],
 [-6, 6, 8, 0],
 [-12, 12, 16, 0],
 [-3, 3, 4, 0]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[2, -12, -11, -13],
 [-6, 4, 5, 7],
 [10, 12, 8, 7],
 [2, -12, -11, -13]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-14, 24, -16, -12],
 [16, -21, 20, -2],
 [-13, 2, -10, -30],
 [-14, -10, -12, -16]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[20, 7, -14, 12],
 [-20, -9, 13, -14],
 [-12, -5, 8, -8],
 [-16, -4, 12, -8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-6, -14, -2, 12],
 [12, 22, -2, -20],
 [-9, -18, 0, 16],
 [6, -4, -16, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[0, 0, 0, 0],
 [19, 8, -11, 5],
 [15, 5, -9, 3],
 [-25, 0, 17, 1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[9, -6, 3, -12],
 [-3, 2, -1, 4],
 [-6, 4, -2, 8],
 [12, -8, 4, -16]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[6, 14, 18, 16],
 [8, -2, 6, 0],
 [-7, -22, -4, -40],
 [7, -5, -8, 4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[8, -8, -4, -4],
 [16, -16, -8, -8],
 [4, -4, -2, -2],
 [-8, 8, 4, 4]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[3, 18, 6, 0],
 [4, 8, 2, -6],
 [1, 14, 5, 3],
 [0, 16, 6, 6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[20, -8, 32, -20],
 [-16, 0, -24, 16],
 [2, -4, 4, -2],
 [-13, 2, -20, 13]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-6, 4, -24, 4],
 [-6, -14, 0, -8],
 [9, 21, 0, 12],
 [9, 21, 0, 12]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[0, 0, -2, -1],
 [0, 0, 4, 2],
 [0, 0, -8, -4],
 [0, 0, 6, 3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[0, 0, 0, 0],
 [0, 16, -4, -8],
 [0, 0, 0, 0],
 [0, 0, 0, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-16, -8, 20, -6],
 [-16, 12, -12, 0],
 [-11, -13, 12, -5],
 [12, -4, -4, 2]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-4, -6, -6, 6],
 [-2, -3, -3, 3],
 [-8, -12, -12, 12],
 [8, 12, 12, -12]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[0, -2, -6, 8],
 [0, -1, -3, 4],
 [0, 4, 12, -16],
 [0, 1, 3, -4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[2, 8, -6, -4],
 [-3, -12, 9, 6],
 [-4, -16, 12, 8],
 [4, 16, -12, -8]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-1, 0, 10, -4],
 [4, -4, -1, 4],
 [-6, 3, 15, -15],
 [10, -7, -16, 19]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[7, 4, 11, -3],
 [10, 2, -16, 0],
 [-4, -8, -8, -10],
 [-3, -1, 18, -6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[0, -4, -5, -2],
 [-4, 8, -1, 10],
 [2, -6, -2, -6],
 [-1, -5, -9, -1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[26, -6, 12, -6],
 [-12, 0, 12, 8],
 [-6, -8, -10, 8],
 [16, -14, -10, 2]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[15, 0, 8, 14],
 [-3, -2, -5, 1],
 [15, 2, -9, 24],
 [5, 4, -20, 17]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-10, 22, -11, -1],
 [8, -16, -12, 16],
 [11, -12, 2, -15],
 [-2, -6, 7, 13]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-16, 21, 14, 20],
 [30, -27, 1, 5],
 [-22, 12, -10, -12],
 [-15, 18, 0, -9]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-3, -6, 9, -3],
 [-3, -6, 9, -3],
 [-3, -6, 9, -3],
 [3, 6, -9, 3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[12, 0, 9, 6],
 [12, -5, 4, 1],
 [-24, 15, 2, 13],
 [20, -8, 9, 6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[24, 2, 7, -9],
 [-8, 6, -5, 7],
 [8, -2, 9, -7],
 [8, -4, 0, -4]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[2, 8, -2, 4],
 [0, 0, 0, 0],
 [1, 4, -1, 2],
 [3, 12, -3, 6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[20, 7, -23, 3],
 [24, 16, -16, 17],
 [4, 9, 1, 11],
 [12, 10, -13, 8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-8, 15, -16, -2],
 [-12, 10, -1, 10],
 [8, -4, -10, -8],
 [16, -1, -6, -30]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[15, 3, -1, 3],
 [22, -9, -7, -8],
 [0, 3, -4, 2],
 [0, -12, 16, -8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[4, -2, 3, 0],
 [-4, 10, -1, 6],
 [-12, 2, -10, -3],
 [12, -2, 10, 3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[12, 3, -15, 13],
 [-16, 0, 16, -12],
 [12, -15, 3, -11],
 [4, -9, 5, -9]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[0, 0, 0, 0],
 [0, -9, 0, 0],
 [0, 6, 0, 0],
 [0, 0, 0, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[0, -11, 16, 0],
 [8, 24, 8, -14],
 [13, 26, 0, -16],
 [7, -11, 24, -6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[9, 12, -3, 3],
 [-12, -16, 4, -4],
 [12, 16, -4, 4],
 [-6, -8, 2, -2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-7, -8, -6, 15],
 [3, 15, 0, -9],
 [4, 2, 4, -8],
 [1, -13, 4, 1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[0, -8, 16, -4],
 [-6, -2, 0, 4],
 [12, 14, -20, -3],
 [12, 6, -4, -7]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-1, -2, 5, 2],
 [13, -2, -1, 6],
 [-8, 5, -8, -8],
 [24, -1, -8, 8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[3, -15, -18, 3],
 [0, 8, 9, 1],
 [1, -5, -6, 1],
 [-3, -9, -9, -6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[16, -12, -4, -20],
 [1, 5, -1, -8],
 [11, 13, -9, -10],
 [-13, -3, 7, 14]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-12, -12, 12, 12],
 [12, 12, -12, -12],
 [0, 0, 0, 0],
 [4, 4, -4, -4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-8, -9, -2, 5],
 [18, -10, -12, 8],
 [-8, -9, -2, 5],
 [8, 9, 2, -5]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-14, 12, 16, 12],
 [10, -6, -2, -6],
 [12, -6, 2, -6],
 [15, -9, -3, -9]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[12, -12, -3, 0],
 [4, -16, 0, 8],
 [-13, 4, 4, 6],
 [2, -2, -1, -7]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[0, 4, 16, 0],
 [0, 2, 8, 0],
 [0, -4, -16, 0],
 [0, -2, -8, 0]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[6, 0, 0, -6],
 [0, -8, -2, -6],
 [8, -8, -2, -14],
 [2, -16, -4, -14]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[6, 3, -4, -1],
 [-4, 0, 6, 4],
 [-4, -6, -4, -6],
 [12, 9, -3, 3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-4, -2, 6, 0],
 [-12, 4, 16, 16],
 [15, 0, -21, -12],
 [8, 4, -12, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-9, -6, 14, 3],
 [-10, 2, 11, -6],
 [-6, 6, -4, -6],
 [3, 1, -1, -1]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-7, 2, -1, 22],
 [4, -1, -8, -18],
 [7, -18, -11, 10],
 [12, -4, 9, -32]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[12, -3, -9, 6],
 [16, -4, -12, 8],
 [16, -4, -12, 8],
 [0, 0, 0, 0]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[1, 4, 0, -2],
 [-2, -8, 0, 4],
 [1, 4, 0, -2],
 [3, 12, 0, -6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-4, -4, -2, 2],
 [-4, -4, -2, 2],
 [-4, -4, -2, 2],
 [0, 0, 0, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[10, -5, 6, -28],
 [23, 7, -11, -32],
 [-9, 10, 17, 9],
 [7, -7, -15, -5]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-3, 0, 18, -6],
 [-2, 6, 20, -8],
 [-1, 3, 10, -4],
 [3, 21, 10, -8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[2, 4, -4, 0],
 [-6, 0, 6, -12],
 [4, -4, -2, 12],
 [-4, 8, 0, -16]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[0, 0, 0, 0],
 [0, 0, 0, 0],
 [-8, -12, 8, 16],
 [-6, -9, 6, 12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[5, -13, -24, -18],
 [-1, 5, 10, 8],
 [1, 1, 3, 3],
 [14, -10, -10, -2]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[4, 2, -1, -4],
 [-8, -4, 2, 8],
 [-12, -6, 3, 12],
 [0, 0, 0, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-2, -7, 0, -10],
 [0, 6, -2, 14],
 [-2, -7, 0, -10],
 [4, 8, 2, 6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-18, 15, -9, 0],
 [0, 1, 10, -3],
 [2, 16, -2, -4],
 [16, -10, -10, 4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[13, 1, -10, 12],
 [-16, 4, 12, -12],
 [-13, -1, 10, -12],
 [-10, 11, 7, -3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[8, 0, 0, 2],
 [-4, 0, 0, -1],
 [-4, 0, 0, -1],
 [-4, 0, 0, -1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-2, 1, -9, -1],
 [-1, 5, -13, -9],
 [-9, -3, 25, 19],
 [-3, -2, -2, 6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-6, 0, -4, 6],
 [9, 0, 6, -9],
 [12, 0, 8, -12],
 [-3, 0, -2, 3]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-4, -4, 8, -8],
 [-7, -13, 8, -8],
 [-2, -2, 4, -4],
 [8, 16, -8, 8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[6, 9, 3, -6],
 [-12, -5, -10, 8],
 [-2, 3, -1, -6],
 [-2, -6, 2, -4]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-3, 1, 3, 1],
 [12, -4, -12, -4],
 [-9, 3, 9, 3],
 [-12, 4, 12, 4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-8, -12, -16, 4],
 [-4, -6, -8, 2],
 [-8, -12, -16, 4],
 [-8, -12, -16, 4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[20, 0, 8, 2],
 [-1, 3, -1, 5],
 [-7, 11, -5, 18],
 [-12, 6, -6, 9]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[8, 8, -8, 0],
 [6, 16, 4, 10],
 [-9, -20, 3, -10],
 [-12, -24, 10, -10]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[20, 0, 0, 20],
 [6, 4, -4, 6],
 [-9, 24, -24, -9],
 [-7, 12, -12, -7]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[3, -18, -15, -19],
 [3, -10, -11, -13],
 [3, -2, -9, -10],
 [6, 24, 8, 19]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-10, -4, -1, 10],
 [-2, -12, 5, 2],
 [16, 12, -1, -16],
 [6, -20, 11, -6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-10, -10, 10, 10],
 [12, 21, -12, -3],
 [7, 11, -7, -3],
 [-10, -20, 10, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-16, -4, 4, 4],
 [12, 3, -3, -3],
 [16, 4, -4, -4],
 [-8, -2, 2, 2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-11, 0, 4, 20],
 [-10, 4, -2, 4],
 [3, -2, 3, 6],
 [-13, 13, -5, 7]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[17, -4, 0, 20],
 [-2, -6, 6, -6],
 [-19, 10, -11, -18],
 [3, 8, -6, 8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[1, -13, -2, -4],
 [-2, -4, -3, -1],
 [-14, -4, -7, -7],
 [-37, 13, -3, -20]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-17, -10, -10, -9],
 [-17, -26, -5, -9],
 [-5, -2, 1, -9],
 [-6, 4, 0, -12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-8, 0, 6, -2],
 [-4, -12, -4, 0],
 [-20, -12, 8, -4],
 [7, -3, -7, 2]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[1, 10, -4, 2],
 [-3, -15, 2, -1],
 [-4, -4, -8, 4],
 [-4, -7, -6, 3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-4, -19, 4, 17],
 [2, 14, 4, -10],
 [-1, -7, -2, 5],
 [2, 11, 0, -9]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-2, 20, 14, -10],
 [-1, -14, -5, 7],
 [2, 0, -4, 0],
 [2, 0, -4, 0]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[0, 0, 0, 0],
 [-8, -4, -16, -8],
 [-8, -4, -16, -8],
 [2, 1, 4, 2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-2, 2, 14, 4],
 [4, -4, 8, 4],
 [7, -7, -3, -1],
 [3, -3, -7, -7]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-4, 8, -4, 16],
 [-1, 2, -1, 4],
 [-1, 2, -1, 4],
 [-3, 6, -3, 12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[16, 12, 4, 16],
 [22, 12, 32, 10],
 [10, -8, -4, -2],
 [20, -9, 13, -4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[3, 6, 6, 3],
 [3, 6, 6, 3],
 [-1, -1, 4, 4],
 [4, 4, -16, -16]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[3, 1, 0, 4],
 [-12, -4, 0, -16],
 [-3, -1, 0, -4],
 [9, 3, 0, 12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[0, 15, -13, -11],
 [15, 10, 17, -16],
 [6, -2, -10, 4],
 [9, -27, -3, 26]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-2, -3, 2, 3],
 [8, 12, -8, -12],
 [6, 9, -6, -9],
 [-8, -12, 8, 12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[0, 0, 0, 0],
 [0, 0, 0, 0],
 [-4, -8, 8, -2],
 [4, 8, -8, 2]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[8, -10, 10, -8],
 [4, 4, 2, 2],
 [-20, -8, -14, -2],
 [-8, -8, -4, -4]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-6, 1, -14, 10],
 [1, -1, 3, -3],
 [4, 6, 4, 4],
 [1, -1, 3, -3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-5, 8, 6, -3],
 [2, -9, -12, 7],
 [2, -24, -8, 11],
 [5, -12, -10, 6]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-17, 20, -2, -10],
 [12, 3, -18, 2],
 [3, 17, -24, -4],
 [-2, 18, 4, -12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[3, -10, -6, 9],
 [0, -6, 0, 0],
 [3, -6, -6, 9],
 [1, -10, -2, 3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-28, 0, -7, 1],
 [-22, -2, 6, -8],
 [-1, 3, -8, 5],
 [23, -8, 9, 1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[2, -4, 3, -1],
 [2, -4, 3, -1],
 [2, -4, 3, -1],
 [4, -8, 6, -2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[14, 0, -6, 20],
 [-4, 0, -4, -8],
 [0, 0, 5, 2],
 [16, 0, -4, 24]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-4, 12, -16, 16],
 [18, 11, -8, -2],
 [25, 16, -12, -2],
 [-21, -15, 12, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-31, 2, 6, -22],
 [-2, 2, 12, 10],
 [18, 0, 5, 21],
 [16, 0, -12, 4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-9, 0, 9, 0],
 [-10, 4, 4, 4],
 [9, 0, -9, 0],
 [-9, 6, 0, 6]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[14, 15, -10, 2],
 [12, 18, -12, 0],
 [-18, 0, 0, -9],
 [-8, -15, 10, 1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[0, 0, 0, 0],
 [-12, 9, 6, -3],
 [-12, 9, 6, -3],
 [16, -12, -8, 4]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[2, -10, 19, 5],
 [28, -21, 4, 1],
 [4, -6, -13, -1],
 [-14, -7, 11, 6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-16, 16, 8, -4],
 [0, 0, 0, 0],
 [0, 0, 0, 0],
 [-4, 4, 2, -1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[3, 2, 0, 0],
 [-8, 18, -20, 10],
 [-1, 4, -4, 2],
 [-1, 4, -4, 2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[4, 6, -2, 16],
 [12, -17, 14, -12],
 [-10, 6, -7, -4],
 [6, 9, -3, 24]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[9, 4, -2, 3],
 [-7, 20, -6, -5],
 [6, -6, 4, -3],
 [12, 6, -5, 9]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-13, -15, -8, -5],
 [-10, -6, -2, -8],
 [12, 4, 0, 12],
 [-6, -2, 0, -6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-6, 9, -9, 4],
 [-1, 2, -4, 2],
 [16, -20, 4, 0],
 [-2, 4, -8, 4]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-12, 10, 2, -8],
 [6, -13, -5, 14],
 [2, -7, -3, 8],
 [-4, 2, 0, -1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-6, -5, -6, 5],
 [-9, -5, 1, 5],
 [-11, -7, -9, 11],
 [1, -2, -7, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[4, -2, 2, 8],
 [-6, 3, -3, -12],
 [2, -1, 1, 4],
 [-8, 4, -4, -16]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[7, -11, -3, 0],
 [12, 3, 0, 9],
 [-16, -4, 0, -12],
 [0, 17, 4, 7]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[2, -4, -1, 4],
 [4, -8, -2, 8],
 [0, 0, 0, 0],
 [-8, 16, 4, -16]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-6, -7, 5, 2],
 [18, 16, -14, -8],
 [16, 22, -14, -4],
 [6, -3, -3, -6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-2, -3, 10, 10],
 [-6, -4, 15, 15],
 [-3, -4, 8, 7],
 [-10, -4, 6, 4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[0, -12, -12, 3],
 [0, -12, -12, 3],
 [0, 8, 8, -2],
 [0, -8, -8, 2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[3, 5, -5, -5],
 [-11, -17, 3, -11],
 [-8, -14, 12, 10],
 [-2, -2, -6, -14]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[3, 0, -12, 12],
 [-4, 0, 16, -16],
 [0, 0, 0, 0],
 [3, 0, -12, 12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[12, 16, -4, 8],
 [-6, -8, 2, -4],
 [-6, -8, 2, -4],
 [3, 4, -1, 2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-2, -2, 16, 13],
 [0, -3, -12, 3],
 [6, 1, 2, -6],
 [-2, 3, 1, -6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[6, 1, -19, 12],
 [-6, -1, 19, -12],
 [10, -2, -6, 20],
 [6, -1, -5, 12]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-8, 6, -4, 4],
 [-4, 3, -2, 2],
 [4, -3, 2, -2],
 [8, -6, 4, -4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-4, 4, -21, 8],
 [-14, -16, -2, 8],
 [-5, -16, 4, -13],
 [-23, -24, -8, 15]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[8, -14, 4, 0],
 [8, -8, 2, -4],
 [0, -12, 4, 8],
 [28, -19, 4, -20]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[6, 8, 0, 0],
 [15, 6, -9, -3],
 [5, 2, -3, -1],
 [0, 14, 9, 3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-23, 10, -32, 17],
 [14, 0, 26, -16],
 [-7, 6, -9, 4],
 [-6, 16, 6, -8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-16, -4, -12, -16],
 [-8, -2, -6, -8],
 [-12, -3, -9, -12],
 [16, 4, 12, 16]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-2, 10, 12, -4],
 [-1, 8, 7, -4],
 [1, -11, 2, 16],
 [1, 1, -14, -12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[4, 21, 25, 9],
 [4, 9, 11, 5],
 [4, -3, -3, 1],
 [8, 12, 15, 8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-2, 4, 10, 12],
 [14, -4, 14, 12],
 [-4, 4, 6, 8],
 [-6, 0, -12, -12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[5, 12, 15, 17],
 [5, -12, 0, -7],
 [-5, -4, -10, -9],
 [1, -4, -1, -3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[1, -1, 3, 1],
 [-4, 4, -4, -12],
 [0, 0, 6, -6],
 [1, -1, -1, 5]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-16, -16, -4, 16],
 [-2, -3, -3, 3],
 [2, 3, 3, -3],
 [-16, -16, -4, 16]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-6, 12, -3, -12],
 [10, -13, 4, 17],
 [8, -9, 3, 13],
 [4, -15, 3, 11]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[3, 9, 6, -9],
 [-4, -12, -8, 12],
 [-2, -13, -3, 7],
 [-2, 8, -6, 4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[9, 16, -9, 11],
 [-2, -18, 2, -8],
 [-13, 0, 13, -7],
 [-11, -8, 11, -9]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[0, -10, 2, 16],
 [-10, -10, 14, 2],
 [-4, -1, 5, -4],
 [-5, 0, 6, -7]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[12, 0, 0, -10],
 [0, 0, 0, 0],
 [20, -1, 2, -18],
 [-12, -6, 12, 2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[1, -7, -2, 4],
 [2, -14, -4, 8],
 [14, -8, 2, -14],
 [1, -7, -2, 4]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[10, 0, -16, -22],
 [7, -8, 8, 1],
 [-1, 4, 2, -1],
 [-9, -4, -14, 9]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[7, -6, 1, -1],
 [4, -14, -8, -15],
 [8, -2, -4, 14],
 [-6, 12, 6, 9]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[6, 6, -8, 8],
 [-3, -3, 4, -4],
 [-12, -12, 16, -16],
 [-12, -12, 16, -16]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-4, 4, -4, -2],
 [0, 0, 0, 0],
 [-6, 6, -6, -3],
 [0, 0, 0, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[24, 4, 40, -16],
 [-3, 7, 5, 7],
 [1, -3, -11, -1],
 [-1, 5, 1, 5]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-22, 19, 10, 7],
 [-2, -1, -10, 2],
 [12, -14, -20, -2],
 [-14, 15, 18, 3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[1, -4, -1, -3],
 [-3, 12, 3, 9],
 [2, -8, -2, -6],
 [1, -4, -1, -3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-7, 2, 3, 10],
 [7, 10, -17, -6],
 [7, -2, 0, -10],
 [9, 6, -1, -10]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-17, 12, -2, -4],
 [-19, 4, -14, 12],
 [-3, -12, -18, 24],
 [-11, 4, -6, 4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[0, 12, 0, 3],
 [0, -12, 0, -3],
 [0, -8, 0, -2],
 [0, 16, 0, 4]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[0, 0, -4, 1],
 [0, 0, -12, 3],
 [0, 0, -4, 1],
 [0, 0, 12, -3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-6, -14, 26, 20],
 [-14, -2, 2, 20],
 [-8, -8, 32, 32],
 [8, -11, -6, -24]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[7, 1, -3, 3],
 [4, -2, 6, 3],
 [2, -4, 12, 3],
 [0, 8, -24, -4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-24, 8, 4, -20],
 [-3, 1, -2, -3],
 [3, -1, 12, 5],
 [-3, 1, -17, -6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[3, -3, 3, -2],
 [3, -3, 3, -2],
 [-12, 12, -12, 8],
 [6, -6, 6, -4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[0, -6, -8, 2],
 [0, -6, -8, 2],
 [0, -3, -4, 1],
 [0, -3, -4, 1]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-8, -8, 2, 8],
 [4, 4, -1, -4],
 [0, 0, 0, 0],
 [-4, -4, 1, 4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[12, -6, -3, -3],
 [12, 0, 2, -4],
 [-4, -4, -4, 2],
 [-24, -6, -9, 9]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[11, -7, 7, -20],
 [-7, 3, -3, 4],
 [5, -3, 3, -8],
 [-9, 5, -5, 12]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-8, -8, 8, -17],
 [-5, -14, -4, -5],
 [-3, -10, -4, -2],
 [3, 18, 12, -3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[0, 12, 9, 6],
 [0, 0, 0, 0],
 [0, 8, 6, 4],
 [0, -8, -6, -4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[4, 2, 9, -6],
 [-6, -2, 9, 3],
 [-20, 8, 15, -9],
 [2, -2, 7, 1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[4, 8, -2, 0],
 [-2, -4, 1, 0],
 [0, 0, 0, 0],
 [8, 16, -4, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[4, 0, 4, 4],
 [0, 3, 3, -9],
 [2, 1, 3, -1],
 [-3, 0, -3, -3]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-8, 20, 0, 8],
 [-6, 18, 2, 4],
 [-1, 4, 1, 0],
 [-7, 19, 1, 6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-6, -6, 12, -3],
 [6, 6, -12, 3],
 [-4, -4, 8, -2],
 [-8, -8, 16, -4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[12, -12, -4, -16],
 [-6, 6, 2, 8],
 [0, 0, 0, 0],
 [-6, 6, 2, 8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[16, -16, -16, -16],
 [-16, 16, 16, 16],
 [-8, 8, 8, 8],
 [0, 0, 0, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[6, -1, -12, -13],
 [0, -10, -12, -22],
 [-10, -10, 6, -4],
 [-11, -9, 9, 0]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-12, 12, -12, 3],
 [-16, 16, -16, 4],
 [4, -4, 4, -1],
 [-16, 16, -16, 4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[0, 0, 0, 0],
 [8, -16, 12, 12],
 [-8, 16, -12, -12],
 [-8, 16, -12, -12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-14, 9, -24, -9],
 [-6, 2, -2, 8],
 [-4, 1, 9, 24],
 [16, 0, 1, -19]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[13, -3, 2, 12],
 [-11, -3, -4, -6],
 [7, -9, -2, 12],
 [10, 18, 10, -6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-12, 0, -4, -4],
 [18, -6, 13, 13],
 [-4, 4, -6, -6],
 [-8, 8, -12, -12]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-8, -11, 6, -11],
 [10, 13, -12, 13],
 [-6, -8, 6, -8],
 [-1, -2, -3, -2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-3, 4, -4, 3],
 [-9, 20, 0, 25],
 [-6, 12, -2, 14],
 [0, 6, 9, 12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-12, 14, 4, 4],
 [-7, -1, 4, 4],
 [18, -10, -8, -8],
 [10, 3, -6, -6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[1, 2, -4, -4],
 [4, 6, -12, -18],
 [-2, -1, 2, 11],
 [2, 2, -4, -10]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[32, 4, 20, 4],
 [3, 3, -9, 10],
 [-12, 0, -15, 1],
 [6, 0, 6, -4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[0, 0, 0, 0],
 [2, 0, 6, 6],
 [-4, 0, -12, -12],
 [1, 0, 3, 3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[2, -3, -4, 1],
 [-6, 9, 12, -3],
 [-8, 12, 16, -4],
 [8, -12, -16, 4]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-13, 20, -7, -4],
 [-4, -1, -17, 9],
 [6, -6, 8, -2],
 [-8, 19, -13, -3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[7, -13, 20, -2],
 [8, -8, 16, -8],
 [7, -5, 16, -10],
 [6, -6, 18, -8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[8, 8, 8, -8],
 [0, 0, 0, 0],
 [8, 8, 8, -8],
 [8, 8, 8, -8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-5, 9, -2, -4],
 [-21, -5, -5, 16],
 [-7, -11, -1, 12],
 [22, -6, 6, -9]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[3, -1, 3, 1],
 [-3, 1, -3, -1],
 [9, -3, 9, 3],
 [-12, 4, -12, -4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-10, 3, -8, -2],
 [-4, -12, 4, -8],
 [-5, -4, -1, -4],
 [-1, -3, 1, -2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[6, -8, -2, -4],
 [6, -8, -2, -4],
 [3, -4, -1, -2],
 [6, -8, -2, -4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[2, -8, -6, 8],
 [6, -2, -16, 16],
 [-8, -13, -10, 6],
 [4, 19, 4, -6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-8, 2, 4, -6],
 [4, -1, -2, 3],
 [-4, 1, 2, -3],
 [12, -3, -6, 9]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[0, 8, 8, 0],
 [-9, -8, 1, 9],
 [0, 0, 0, 0],
 [3, -12, -15, -3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[28, 4, 17, 7],
 [-12, -16, 3, 13],
 [8, 12, -2, -14],
 [4, 9, -4, -7]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[3, 4, -1, 3],
 [3, 4, -1, 3],
 [-3, -4, 1, -3],
 [-12, -16, 4, -12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[24, -13, -2, -14],
 [-13, 13, -8, -1],
 [-7, -3, -4, 12],
 [-15, 7, 8, 11]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[2, -1, -3, -3],
 [-8, 4, 12, 12],
 [6, -3, -9, -9],
 [0, 0, 0, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-7, 7, 12, -19],
 [-14, -7, 9, 5],
 [-3, 2, 1, -24],
 [2, 14, 14, 4]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-12, -2, 6, -2],
 [4, -20, -16, 17],
 [-2, 0, 2, 1],
 [2, 2, 4, 7]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-24, 4, 1, 3],
 [-7, -28, 18, 4],
 [-1, 20, -12, -2],
 [13, 20, -14, -4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-1, -4, -4, -4],
 [3, 12, 12, 12],
 [3, 12, 12, 12],
 [1, 4, 4, 4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[7, -12, -11, 13],
 [-9, 16, 15, -17],
 [7, -8, -5, 11],
 [-2, 12, 16, -8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[2, 8, -8, -6],
 [-9, -16, -16, -3],
 [-11, -14, 2, 8],
 [9, 14, 14, 2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[0, 0, 0, 0],
 [0, 2, -6, 2],
 [0, -1, 3, -1],
 [0, -3, 9, -3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-4, 0, 4, 12],
 [-3, 0, 3, 9],
 [-2, 0, 2, 6],
 [-2, 0, 2, 6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[1, -11, -4, 17],
 [-1, 11, 4, -17],
 [11, 5, 10, 7],
 [3, 2, 3, 1]]

Present the answer in LaTex format: \boxed{Your answer}