[User]
Find the rank of the matrix:
[[2, -20, 12, -1],
 [-6, -4, 4, 3],
 [4, -24, 14, -2],
 [-4, -24, 16, 2]]

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


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

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


[User]
Find the rank of the matrix:
[[0, 9, -9, 9],
 [0, 12, -12, 12],
 [0, -9, 9, -9],
 [0, 9, -9, 9]]

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


[User]
What is the rank of the matrix:
[[25, 25, 19, -13],
 [-16, -16, -16, 4],
 [25, 25, 19, -13],
 [-8, -8, -8, 2]]?

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


[User]
What is the rank of the matrix:
[[3, -18, 14, -10],
 [3, -10, 6, -7],
 [-9, -2, 18, 8],
 [18, -2, -15, -22]]?

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


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

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


[User]
Find the rank of the matrix:
[[-13, -4, -11, -10],
 [8, -25, -4, 4],
 [-20, -4, -12, -12],
 [-5, -4, 5, 4]]

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


[User]
Find the rank of the matrix:
[[-2, 2, 1, -2],
 [-2, -7, -8, -14],
 [-6, -6, -9, -22],
 [-4, 10, 8, 4]]

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[6, 1, -2, 3],
 [8, -2, -1, -11],
 [4, 2, -2, 8],
 [6, -3, 0, -15]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[28, -13, 18, 20],
 [-12, -8, -5, -14],
 [24, -9, 15, 18],
 [-16, 11, -11, -10]]?

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


[User]
Determine the rank of the following matrix:
[[-4, 0, 8, -12],
 [2, 0, -4, 6],
 [1, 0, -2, 3],
 [3, 0, -6, 9]]

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


[User]
Determine the rank of the following matrix:
[[-16, 24, 0, -8],
 [-14, 20, -1, -4],
 [-6, 4, -5, 12],
 [16, -24, 0, 8]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[1, 6, -3, 8],
 [25, -4, -24, -14],
 [19, 4, -16, -10],
 [17, -8, -18, -10]]

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


[User]
What is the rank of the matrix:
[[6, 0, -16, 8],
 [-9, 4, 20, -4],
 [-12, 24, 8, 32],
 [6, 0, -16, 8]]?

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


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

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


[User]
Find the rank of the matrix:
[[-3, 3, -16, -6],
 [-27, 21, -4, -14],
 [-9, 0, 0, -3],
 [-11, 6, -8, -7]]

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


[User]
What is the rank of the matrix:
[[9, 6, 0, 12],
 [-1, 6, 8, -20],
 [-7, -3, 2, -14],
 [8, 7, 2, 6]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[-2, -10, -16, -4],
 [1, 5, 8, 2],
 [2, -6, -8, -8],
 [-5, -9, -16, 2]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[5, -7, 11, 7],
 [11, -1, -11, 5],
 [9, 3, -10, -2],
 [3, -13, 17, 15]]

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


[User]
Calculate the rank of matrix A where A =
[[-16, -12, 26, 24],
 [4, -6, -20, 0],
 [-14, -4, 5, 10],
 [-5, 1, 18, 5]]

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


[User]
Calculate the rank of matrix A where A =
[[2, -6, -8, 0],
 [-3, 3, 10, -8],
 [-1, 15, 8, 16],
 [-3, 18, 15, 12]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-4, -15, 28, 15],
 [-4, 6, -8, -6],
 [-12, 11, -12, -11],
 [10, 6, -16, -6]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-2, -4, 0, 6],
 [6, -19, 11, -6],
 [-12, 9, -13, 0],
 [-9, 7, -9, 15]]

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


[User]
Calculate the rank of matrix A where A =
[[6, -16, -14, -8],
 [19, -14, 25, 1],
 [-24, 22, -16, 4],
 [1, -7, -9, -4]]

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


[User]
What is the rank of the matrix:
[[20, -24, -16, -16],
 [6, -4, -4, -6],
 [5, -6, -4, -4],
 [-4, 0, 2, 5]]?

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


[User]
What is the rank of the matrix:
[[-16, 14, -6, 14],
 [5, -2, -14, 4],
 [3, 0, -3, 12],
 [-7, 6, 9, 10]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[-3, 8, -9, 2],
 [26, -10, -28, 8],
 [9, 6, -6, 1],
 [17, -15, -1, 1]]

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


[User]
Determine the rank of the following matrix:
[[-21, 6, 8, 16],
 [15, -18, -2, -4],
 [-3, 4, 0, 2],
 [-17, 15, 3, 11]]

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


[User]
Calculate the rank of matrix A where A =
[[1, 2, 7, -1],
 [13, 9, -25, -9],
 [3, 7, 25, -2],
 [15, 15, -19, -2]]

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


[User]
Determine the rank of the following matrix:
[[20, -4, 12, 4],
 [-4, -2, -4, 1],
 [2, -6, -2, 4],
 [16, -6, 8, 5]]

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


[User]
Determine the rank of the following matrix:
[[3, 3, -6, 0],
 [11, 1, -2, 5],
 [14, 4, -13, 1],
 [-11, -7, 9, -6]]

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


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

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


[User]
Find the rank of the matrix:
[[12, 1, -13, -1],
 [1, -1, 3, 7],
 [7, 11, -14, -17],
 [-10, -3, 19, 15]]

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


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

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


[User]
What is the rank of the matrix:
[[-4, -2, 3, -2],
 [-4, -12, 12, -4],
 [0, -20, 18, -4],
 [-4, -2, 3, -2]]?

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


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

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


[User]
What is the rank of the matrix:
[[-8, -1, -5, 14],
 [0, -3, 3, 12],
 [1, 0, 3, -2],
 [-24, 4, -28, 16]]?

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


[User]
Find the rank of the matrix:
[[0, 0, 1, 0],
 [-2, -2, -4, -1],
 [2, 2, 0, 1],
 [-6, -6, -13, -3]]

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


[User]
Determine the rank of the following matrix:
[[0, -3, 4, -3],
 [2, 10, -12, 12],
 [-8, 8, -16, 0],
 [-2, 5, -8, 3]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[26, 8, -10, -12],
 [-22, -8, 6, 8],
 [-14, 16, -18, -6],
 [3, -8, 5, 1]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[5, -11, 14, 3],
 [8, -14, 8, 3],
 [0, 14, -16, -12],
 [-3, -5, -2, 9]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[6, 5, -10, 3],
 [-4, 6, 4, -6],
 [10, -6, -10, -6],
 [0, -5, 4, -15]]

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


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

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


[User]
Find the rank of the matrix:
[[-13, 28, 8, -5],
 [-10, 25, 14, 2],
 [14, 6, 8, -2],
 [21, -1, 15, 7]]

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[0, 0, 0, 0],
 [3, 12, 3, -9],
 [-2, -8, -2, 6],
 [-1, -4, -1, 3]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-8, 14, 6, -20],
 [2, -8, -6, -4],
 [-6, 16, 10, -4],
 [0, 0, 0, 0]]

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


[User]
What is the rank of the matrix:
[[2, 5, -1, -23],
 [8, 7, -5, -5],
 [-8, 6, 6, -19],
 [-18, -6, 12, 9]]?

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


[User]
Calculate the rank of matrix A where A =
[[7, 0, 2, 8],
 [4, 6, 34, -8],
 [13, -15, 18, -18],
 [3, -3, 23, -16]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[12, -12, -16, -12],
 [-13, 1, -4, 13],
 [-9, 9, 12, 9],
 [-15, 6, 4, 15]]

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


[User]
Calculate the rank of matrix A where A =
[[-1, 9, -8, 13],
 [0, 10, 2, 10],
 [19, -12, 11, -16],
 [-34, 16, -6, 17]]

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


[User]
What is the rank of the matrix:
[[-7, -3, -2, -3],
 [12, 28, 12, 28],
 [-9, -7, -10, -11],
 [0, -16, -6, -16]]?

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


[User]
Determine the rank of the following matrix:
[[-4, -11, 6, -2],
 [4, 14, -8, 0],
 [-6, -9, 4, -8],
 [6, 12, -6, 6]]

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


[User]
Determine the rank of the following matrix:
[[-17, -9, -3, -21],
 [-18, -5, 3, -21],
 [-12, 4, 12, -12],
 [12, 7, 3, 15]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[2, 0, -15, -16],
 [14, 0, -3, -10],
 [16, 0, 0, -8],
 [-4, 0, 6, 8]]

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


[User]
Determine the rank of the following matrix:
[[-4, -16, -5, 8],
 [16, 8, 6, 10],
 [12, 16, 7, 0],
 [4, 0, 1, 4]]

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


[User]
Determine the rank of the following matrix:
[[-21, 2, 8, -19],
 [-10, -3, 1, -14],
 [9, 14, 10, 3],
 [7, -3, -5, 9]]

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


[User]
What is the rank of the matrix:
[[10, -8, -8, -2],
 [-12, 16, 16, -4],
 [-5, -12, -12, 17],
 [-13, 4, 4, 9]]?

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


[User]
Calculate the rank of matrix A where A =
[[9, -12, -3, 12],
 [12, -16, -4, 16],
 [12, -16, -4, 16],
 [0, 0, 0, 0]]

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


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

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


[User]
What is the rank of the matrix:
[[-3, -3, -6, 4],
 [-12, 6, -6, -8],
 [-3, 3, 0, -4],
 [-9, 15, 6, -20]]?

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[22, -1, 16, -14],
 [-4, 4, -2, -17],
 [26, 2, 20, -12],
 [-4, -3, -4, -2]]

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


[User]
Find the rank of the matrix:
[[-21, -25, -16, -6],
 [3, 7, 16, -6],
 [3, 1, -8, 6],
 [-18, -20, -8, -8]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-1, 1, 2, -2],
 [16, -9, 6, 4],
 [5, -4, 0, 2],
 [18, 5, 2, 20]]

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


[User]
Determine the rank of the following matrix:
[[-4, 4, -13, 1],
 [-16, 2, -10, 4],
 [12, -1, 6, -3],
 [-28, 4, -19, 7]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[8, -3, -4, -12],
 [14, -9, -6, -20],
 [9, -9, -3, -12],
 [-4, -6, 4, 8]]

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


[User]
Determine the rank of the following matrix:
[[12, 6, 15, -9],
 [14, 7, 12, 6],
 [-12, -6, -9, -9],
 [4, 2, 3, 3]]

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


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

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


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

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[3, -22, 18, 11],
 [-8, 2, 2, 5],
 [6, -18, 9, 3],
 [-3, -10, 11, 9]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-5, -6, 3, -8],
 [2, -18, -2, -6],
 [-7, 12, -7, -4],
 [4, 18, 8, 14]]?

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-8, 17, -20, -21],
 [-4, -20, 8, 12],
 [25, -2, -2, 6],
 [-15, -17, -12, -4]]

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


[User]
Determine the rank of the following matrix:
[[8, -12, -7, -3],
 [-2, -6, 13, 21],
 [-2, -2, 8, 12],
 [11, -17, -9, -3]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-24, -18, 27, -19],
 [-17, -20, 12, -4],
 [1, 10, 3, -3],
 [18, 30, -9, 1]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[0, -1, -2, -6],
 [10, -10, -12, 6],
 [0, 8, -1, -21],
 [6, 6, -7, -21]]

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


[User]
Determine the rank of the following matrix:
[[-9, -15, 9, -6],
 [2, 2, -8, -4],
 [2, 6, 10, 12],
 [-2, 0, 17, 12]]

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


[User]
Determine the rank of the following matrix:
[[5, -2, -7, 5],
 [1, 0, -1, 3],
 [-3, 0, 3, -9],
 [4, 0, -4, 12]]

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


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

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


[User]
What is the rank of the matrix:
[[-9, 3, 18, 12],
 [-4, 0, 18, 8],
 [-16, 10, -3, 12],
 [-4, 0, 18, 8]]?

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


[User]
Find the rank of the matrix:
[[-8, 4, 0, 14],
 [-3, 3, 9, 18],
 [7, 7, 0, 2],
 [12, 8, 0, -2]]

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


[User]
What is the rank of the matrix:
[[6, -22, -20, -16],
 [13, 23, 22, 16],
 [-12, -12, -8, -8],
 [0, -25, -25, -18]]?

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


[User]
Find the rank of the matrix:
[[21, -11, -16, -3],
 [20, -5, -11, 1],
 [10, 5, 3, 7],
 [-4, 0, -1, -2]]

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


[User]
Calculate the rank of matrix A where A =
[[-6, 6, 6, -2],
 [14, -6, -14, 14],
 [14, -6, -14, 14],
 [-2, 6, 2, 4]]

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


[User]
Find the rank of the matrix:
[[10, 4, 8, 2],
 [-4, 4, -6, -8],
 [9, 12, 3, -9],
 [-8, 8, -12, -16]]

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


[User]
What is the rank of the matrix:
[[-4, -20, 3, 2],
 [-5, -8, 7, -4],
 [-11, -7, 5, -1],
 [8, 20, -6, 0]]?

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


[User]
Determine the rank of the following matrix:
[[-6, -6, -9, -3],
 [-12, -16, -14, -14],
 [2, 0, 5, -3],
 [0, 0, 0, 0]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-4, 0, -5, -2],
 [8, 5, 5, 9],
 [-12, -7, -8, -13],
 [-12, -2, -13, -8]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[12, 7, -7, -2],
 [5, 18, 13, 27],
 [-4, -26, 8, -16],
 [-13, 7, 7, 15]]

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


[User]
Find the rank of the matrix:
[[10, 2, -10, 10],
 [-5, -3, 10, -5],
 [-8, -4, 14, -8],
 [4, 0, -2, 4]]

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


[User]
Find the rank of the matrix:
[[-8, -14, -4, 2],
 [8, 20, 0, 4],
 [2, 8, -2, 4],
 [-6, -3, -8, 9]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-14, -2, 0, -2],
 [16, 8, 8, 8],
 [9, 7, 8, 7],
 [14, 12, 14, 12]]

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


[User]
What is the rank of the matrix:
[[-4, -11, 1, 7],
 [5, 10, 6, -11],
 [-5, 0, 13, -6],
 [-7, 7, 1, -2]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[12, 0, -28, 4],
 [9, -9, -12, 9],
 [-6, 9, 5, -8],
 [12, -24, -4, 20]]

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


[User]
What is the rank of the matrix:
[[4, 4, -2, 0],
 [24, -8, -4, -16],
 [12, -4, -2, -8],
 [-28, 4, 6, 16]]?

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-8, -13, -11, 15],
 [-2, 15, 21, -11],
 [4, 16, 14, 8],
 [-4, -16, -14, -8]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[0, -8, 6, 6],
 [9, -10, 9, 3],
 [3, -14, 11, 9],
 [-6, -4, 2, 6]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-22, -28, 9, 9],
 [-14, -16, 3, 8],
 [0, 4, -6, 5],
 [12, 20, -12, 1]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[28, -20, -6, -9],
 [12, -10, -4, -6],
 [20, -12, -2, -3],
 [-4, -2, -4, -6]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-6, -6, 6, 4],
 [-24, -21, 12, 5],
 [-19, -15, 3, -2],
 [-21, -18, 9, 3]]

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


[User]
Find the rank of the matrix:
[[1, -7, -9, -4],
 [10, 21, -10, -2],
 [-16, -15, 11, 3],
 [-14, 5, 17, 7]]

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


[User]
Find the rank of the matrix:
[[5, -2, 5, -6],
 [2, 2, 2, -1],
 [9, -5, 6, -6],
 [20, -18, 14, -18]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[1, -7, -4, 13],
 [-1, -3, 0, 5],
 [-4, -2, 4, 2],
 [5, -5, -8, 11]]

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


[User]
What is the rank of the matrix:
[[-13, -6, -1, 8],
 [-24, -3, -3, 9],
 [24, 3, 3, -9],
 [2, -12, 2, 8]]?

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


[User]
What is the rank of the matrix:
[[10, 5, -5, 6],
 [9, 17, -3, 11],
 [12, 16, -9, 16],
 [10, 7, 0, 2]]?

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


[User]
What is the rank of the matrix:
[[0, -1, -3, 2],
 [0, 0, 0, 0],
 [2, 7, 5, -8],
 [-1, -5, -7, 7]]?

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[18, 15, -15, 14],
 [13, 9, -3, -5],
 [6, 3, 3, -12],
 [8, 5, -7, -10]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[2, -1, 0, 1],
 [11, 5, -6, 7],
 [-4, 2, 0, -2],
 [-5, 6, -2, -2]]

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[0, 8, 5, 4],
 [-26, -12, -1, 7],
 [22, 4, -8, -5],
 [-10, 12, 25, -1]]

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


[User]
What is the rank of the matrix:
[[6, -1, 7, 17],
 [12, -12, 4, 4],
 [-6, 0, -8, -20],
 [12, -8, 8, 16]]?

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


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

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


[User]
Find the rank of the matrix:
[[-4, -6, 2, 2],
 [-13, -21, 7, 5],
 [-9, -9, 3, 9],
 [-10, -12, 4, 8]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[12, -12, -12, 0],
 [-8, 8, 8, 0],
 [0, 4, 6, 6],
 [16, -14, -13, 3]]?

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[18, -18, 8, -18],
 [-4, 6, 12, -20],
 [6, -11, 6, -14],
 [28, -29, 10, -24]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-3, -14, 11, 13],
 [0, 2, 19, 5],
 [5, -14, -4, 8],
 [8, -24, 0, 16]]

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


[User]
Calculate the rank of matrix A where A =
[[-6, -4, -8, 2],
 [-12, -2, -12, 8],
 [0, 0, 0, 0],
 [-12, 1, -10, 10]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-23, -1, 11, -1],
 [-12, 24, -10, 6],
 [6, 2, -2, -10],
 [-18, 3, 4, 12]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-6, 12, 6, -21],
 [-1, 12, -9, -6],
 [-4, 4, 8, -13],
 [3, 0, -9, 9]]

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


[User]
Find the rank of the matrix:
[[3, 3, -5, 7],
 [0, 1, 9, -14],
 [16, 6, 8, -4],
 [-5, 0, 2, -7]]

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


[User]
Find the rank of the matrix:
[[3, -4, 2, -1],
 [-8, 8, 2, 2],
 [2, -4, 5, -1],
 [0, -4, 11, -1]]

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


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

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


[User]
Determine the rank of the following matrix:
[[2, 2, 4, 3],
 [2, -2, -8, -4],
 [1, -1, -4, -2],
 [15, 9, 12, 12]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[1, 0, -15, 0],
 [-15, 3, -13, -18],
 [4, -4, -4, 8],
 [-11, -20, 4, 13]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[16, 10, -1, 5],
 [-13, -3, 4, 3],
 [4, -2, -4, -4],
 [-10, -10, 4, -14]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-14, -11, 0, -5],
 [3, 1, -9, 3],
 [20, -4, -10, 4],
 [-16, -10, 4, -6]]

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


[User]
Calculate the rank of matrix A where A =
[[6, 0, 6, 3],
 [-2, -2, -2, -6],
 [-16, 8, -16, 12],
 [14, -10, 14, -18]]

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


[User]
What is the rank of the matrix:
[[-12, 16, -16, -20],
 [15, 0, 12, 3],
 [17, -6, 16, 10],
 [15, -10, 16, 14]]?

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


[User]
Calculate the rank of matrix A where A =
[[12, 6, -6, -12],
 [12, 6, 0, -3],
 [16, 8, -4, -10],
 [4, 2, -8, -13]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-4, 7, 2, -11],
 [-4, 6, 0, -2],
 [6, -10, -2, 12],
 [-3, 5, 1, -6]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[5, 5, -12, 13],
 [0, 0, 0, 0],
 [7, -1, 0, 3],
 [13, 1, -6, 11]]

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


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

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


[User]
Determine the rank of the following matrix:
[[11, 12, 12, 11],
 [-9, 29, -8, 15],
 [-5, 13, -4, 7],
 [-1, 4, 0, 3]]

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


[User]
Calculate the rank of matrix A where A =
[[0, -32, -4, 8],
 [0, -8, -1, 2],
 [-15, 3, -23, -14],
 [0, -20, 21, -2]]

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


[User]
Calculate the rank of matrix A where A =
[[14, -4, 10, 7],
 [-18, 12, -14, -5],
 [10, -8, 8, 2],
 [-15, 12, -12, -3]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-8, 0, 16, 10],
 [12, 15, -4, 5],
 [-4, 9, 20, 17],
 [-12, -18, 0, -9]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[3, 2, 10, 7],
 [6, -4, -4, -2],
 [9, 4, 24, 17],
 [-6, -3, -3, -4]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[11, 2, -1, 15],
 [1, 14, -13, 0],
 [-10, 3, 0, -9],
 [34, -10, -2, 28]]

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


[User]
Find the rank of the matrix:
[[-8, -20, 8, 14],
 [-12, -9, -2, 0],
 [12, 9, 2, 0],
 [-4, -7, 2, 4]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-7, -1, -1, -10],
 [-6, -18, -18, 8],
 [3, -15, 6, 1],
 [-4, 6, -16, 7]]

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


[User]
Find the rank of the matrix:
[[5, 2, 6, -1],
 [-5, -2, -6, 1],
 [2, 12, -4, -2],
 [3, -3, 6, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[-4, 6, 3, -1],
 [-4, 6, 3, -1],
 [16, -20, -11, 4],
 [-4, -14, -2, -1]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[8, -7, -13, -21],
 [-1, -3, 13, -4],
 [-5, 2, 18, 11],
 [-1, -6, 25, -7]]

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


[User]
Calculate the rank of matrix A where A =
[[-4, 3, 4, -4],
 [4, -7, -4, 20],
 [0, -3, 0, 12],
 [-16, 16, 16, -32]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-6, -8, 16, 2],
 [3, 9, -4, -2],
 [-12, 8, 16, -4],
 [2, 11, -6, -3]]

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


[User]
Calculate the rank of matrix A where A =
[[-12, -8, 0, -15],
 [-4, 2, 7, 2],
 [20, 4, -14, 11],
 [-12, 0, 12, -3]]

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


[User]
Calculate the rank of matrix A where A =
[[0, 1, -2, 12],
 [11, 4, -8, 4],
 [-6, 2, 0, 24],
 [6, 4, -7, 18]]

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


[User]
Calculate the rank of matrix A where A =
[[12, 11, 4, -4],
 [-4, -5, -4, -4],
 [16, 14, 4, -8],
 [-24, -22, -8, 8]]

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


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

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


[User]
Determine the rank of the following matrix:
[[6, -3, 17, 16],
 [4, 4, -16, 0],
 [-4, 0, -2, -7],
 [-2, -1, 11, 2]]

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


[User]
Calculate the rank of matrix A where A =
[[16, 0, 8, 0],
 [12, 9, 6, -6],
 [4, 15, 2, -10],
 [-16, -15, -8, 10]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-18, 25, -24, -9],
 [16, -22, 20, 10],
 [13, -18, 17, 7],
 [2, -4, 10, -10]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-6, 2, -6, 8],
 [20, -20, 24, -16],
 [6, 8, 3, -16],
 [-1, -3, 0, 4]]

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


[User]
Calculate the rank of matrix A where A =
[[-14, -6, 14, -10],
 [7, -2, -5, 9],
 [-2, -3, 6, 5],
 [-8, -12, 16, 8]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[8, -2, -5, 9],
 [-2, 8, 8, -3],
 [10, 2, 2, 18],
 [32, 12, -23, -2]]

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


[User]
Calculate the rank of matrix A where A =
[[-12, -9, 9, -3],
 [-8, 6, 9, 1],
 [-16, -12, 12, -4],
 [-16, 12, 18, 2]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-21, 12, 26, 0],
 [-2, 19, 12, 9],
 [-8, -20, -4, -12],
 [18, 0, -6, 0]]

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


[User]
Determine the rank of the following matrix:
[[-12, -12, -8, 4],
 [9, 9, -16, -13],
 [2, 2, 10, 1],
 [-1, -1, 2, -4]]

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


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

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


[User]
Determine the rank of the following matrix:
[[9, -7, 3, 0],
 [-10, 15, 14, -13],
 [-4, 12, 20, -16],
 [-8, 9, 4, -5]]

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


[User]
What is the rank of the matrix:
[[-17, 4, -10, 17],
 [7, -4, 2, 9],
 [0, 12, 0, -24],
 [-7, 8, -8, 15]]?

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


[User]
Find the rank of the matrix:
[[4, 2, -3, 17],
 [0, -2, 3, -5],
 [8, 16, 11, -6],
 [16, -8, 19, 14]]

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


[User]
Find the rank of the matrix:
[[-2, -5, -7, 3],
 [-3, -4, -4, -1],
 [-12, -16, -10, -12],
 [23, 5, 37, -24]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-16, 4, -6, 8],
 [6, -17, -1, -18],
 [11, -7, 4, -9],
 [-6, -4, -3, -2]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-16, -2, -5, -21],
 [-10, -4, -9, -13],
 [32, -12, 16, 12],
 [-14, 2, -18, -2]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-5, -7, 1, 6],
 [-6, -3, -15, 9],
 [1, 2, -2, -1],
 [7, 5, 13, -10]]

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


[User]
What is the rank of the matrix:
[[-10, -6, -8, -8],
 [-3, 1, -3, -3],
 [-1, -8, 1, -2],
 [-1, -3, 0, -4]]?

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


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

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[12, 12, 9, 6],
 [4, 12, 21, 4],
 [4, 12, 9, 0],
 [8, 4, -6, 2]]

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


[User]
Calculate the rank of matrix A where A =
[[0, -20, 20, -9],
 [-4, -24, 24, -10],
 [-9, -24, 24, -9],
 [-14, -24, 24, -8]]

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


[User]
Find the rank of the matrix:
[[18, 21, 4, 7],
 [-19, -9, -2, -5],
 [7, 17, 3, 4],
 [12, 19, 3, 2]]

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


[User]
Find the rank of the matrix:
[[2, -6, 2, 0],
 [2, 7, -6, -1],
 [-15, 6, 9, 3],
 [-10, -9, 14, 3]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[20, -4, 12, -8],
 [0, 18, 8, 4],
 [18, 10, 17, -2],
 [17, -20, 3, -8]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-25, 15, -41, -8],
 [-4, -2, 8, -15],
 [-24, 8, -40, -9],
 [-5, -7, -17, 3]]

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


[User]
Calculate the rank of matrix A where A =
[[24, 0, 3, -19],
 [-9, -15, 12, -1],
 [9, -9, 9, -12],
 [21, 3, 0, -15]]

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


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

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


[User]
Determine the rank of the following matrix:
[[24, 8, 14, 36],
 [-5, -12, -8, -8],
 [9, 8, 7, 18],
 [-15, 8, -3, -18]]

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


[User]
What is the rank of the matrix:
[[7, 2, 1, -13],
 [2, -8, -4, 2],
 [-16, 4, 2, 21],
 [-13, 22, 11, 8]]?

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


[User]
Determine the rank of the following matrix:
[[17, 4, 0, 4],
 [9, 0, -2, 4],
 [17, 4, 0, 4],
 [20, -8, -12, 16]]

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


[User]
What is the rank of the matrix:
[[-14, 2, 20, -8],
 [3, -3, -4, -2],
 [-16, 10, 22, 2],
 [2, -8, -2, -10]]?

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


[User]
Calculate the rank of matrix A where A =
[[7, -21, 14, -33],
 [24, -24, 0, -3],
 [-14, 10, 4, -1],
 [1, -3, 2, 3]]

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


[User]
Find the rank of the matrix:
[[-6, 6, 3, 18],
 [9, 12, -4, 2],
 [15, 6, 4, -8],
 [22, 7, -9, -25]]

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


[User]
What is the rank of the matrix:
[[12, 3, -3, -9],
 [0, 0, 0, 0],
 [-12, -3, 3, 9],
 [-16, -4, 4, 12]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[0, 0, 0, 0],
 [8, -8, -4, -12],
 [-2, 2, 1, 3],
 [6, -6, -3, -9]]

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


[User]
What is the rank of the matrix:
[[2, 16, 12, -2],
 [-14, -12, -14, 19],
 [6, 8, 8, -8],
 [-3, -24, -18, 3]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[-14, 6, 1, -14],
 [-16, 9, -11, -19],
 [8, 9, -2, 9],
 [2, -6, 17, 6]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-16, 6, -16, 9],
 [18, 1, 8, -14],
 [-4, 12, -17, -3],
 [6, -7, 22, -1]]

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


[User]
Find the rank of the matrix:
[[-16, 4, 0, 4],
 [-16, 4, 0, 4],
 [-16, 20, 32, -28],
 [-16, 14, 20, -16]]

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


[User]
Calculate the rank of matrix A where A =
[[0, -18, 10, -4],
 [8, 12, -12, 0],
 [2, 3, -3, 0],
 [-8, 6, 2, 4]]

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


[User]
What is the rank of the matrix:
[[-13, 13, 0, 3],
 [5, -4, 4, 1],
 [3, -14, -20, -17],
 [9, -5, -28, -7]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[20, -1, 15, -16],
 [-8, 17, -11, -8],
 [-1, 21, -8, -22],
 [-15, 5, -13, 6]]

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


[User]
Find the rank of the matrix:
[[-13, 7, -16, 0],
 [5, -5, 8, -6],
 [-13, 7, -16, 0],
 [4, -6, 8, -10]]

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


[User]
Determine the rank of the following matrix:
[[-9, -5, 5, -12],
 [11, 14, 1, 0],
 [-5, -12, -8, 9],
 [-2, -9, -6, 12]]

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


[User]
Find the rank of the matrix:
[[4, 11, 3, -15],
 [-25, -15, -9, -14],
 [-17, -11, -9, -17],
 [12, -8, 0, 32]]

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


[User]
Calculate the rank of matrix A where A =
[[6, -10, -4, -2],
 [7, -1, 6, 3],
 [1, 2, -9, 0],
 [10, -21, 9, -3]]

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


[User]
Determine the rank of the following matrix:
[[0, -6, -6, 2],
 [16, -20, 20, -12],
 [-4, 2, -8, 4],
 [-2, 4, -1, 1]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[17, 9, 6, -2],
 [14, -10, -12, -20],
 [-5, 5, 14, 14],
 [-5, 1, -2, 2]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[10, 0, 12, -16],
 [-17, 11, -6, 13],
 [5, -5, -12, 15],
 [-4, -3, -12, 15]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-4, -6, -6, -5],
 [-6, 5, 9, -9],
 [-11, -13, -12, -19],
 [-1, 2, 3, -5]]

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


[User]
What is the rank of the matrix:
[[8, 18, 6, 12],
 [12, 6, -6, 12],
 [-3, 10, 13, -1],
 [12, 23, 16, 13]]?

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


[User]
Calculate the rank of matrix A where A =
[[11, -14, 10, -20],
 [-20, 20, -16, 32],
 [-13, -8, -2, 4],
 [-19, 16, -14, 28]]

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-5, -9, 12, 9],
 [3, 0, 12, 6],
 [13, -8, 1, 5],
 [-5, 6, 2, -2]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[7, -16, 8, -15],
 [3, -13, 5, -11],
 [1, 10, -2, 7],
 [17, -3, 14, -6]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-17, -16, 13, -12],
 [17, 16, -13, 12],
 [-4, -16, 4, 16],
 [16, 25, -13, -4]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[16, 0, -10, 4],
 [-10, -12, 7, -4],
 [-3, -18, 3, -3],
 [-10, -12, 7, -4]]

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


[User]
Determine the rank of the following matrix:
[[-18, -8, -7, -16],
 [-12, -15, 5, -11],
 [-38, -11, -10, -31],
 [36, 6, 13, 29]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-6, -2, -24, 9],
 [9, -5, 14, -9],
 [1, -3, -11, 3],
 [-5, -1, 11, -6]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-4, 9, 4, -2],
 [4, -12, -8, 0],
 [12, -24, -8, 8],
 [7, -15, -6, 4]]

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


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

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


[User]
What is the rank of the matrix:
[[6, 3, 18, 6],
 [-1, -5, 18, 14],
 [4, 2, 12, 4],
 [9, 6, 20, 4]]?

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


[User]
Calculate the rank of matrix A where A =
[[10, -6, -6, 1],
 [-10, 4, 14, -9],
 [-16, 10, 8, 0],
 [-14, 6, 18, -11]]

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[4, 6, -6, 1],
 [-8, -8, 8, -4],
 [-4, -4, 4, -2],
 [-8, -18, 18, 1]]

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


[User]
What is the rank of the matrix:
[[-4, 3, 3, 2],
 [12, -28, -16, -20],
 [-12, 28, 16, 20],
 [-16, -7, 5, -6]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[0, -21, -12, 9],
 [-6, 3, -12, -9],
 [-3, 12, 0, -9],
 [2, 20, 16, -6]]

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


[User]
Calculate the rank of matrix A where A =
[[6, 6, -1, -7],
 [8, -6, -3, -1],
 [14, 10, -2, -14],
 [0, 24, -2, -14]]

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


[User]
Calculate the rank of matrix A where A =
[[4, -4, -5, 17],
 [3, -1, -7, 13],
 [-8, 12, 2, -28],
 [11, -13, 0, 8]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[16, 0, 9, 0],
 [-11, 0, -6, 0],
 [3, 0, 3, 0],
 [0, 0, 0, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[15, -3, 9, -6],
 [-12, 8, -8, 16],
 [14, -7, 9, -14],
 [12, -8, 8, -16]]

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


[User]
Determine the rank of the following matrix:
[[2, -11, 5, 9],
 [8, -16, 4, 8],
 [-10, 13, -1, -3],
 [-8, 9, 0, -1]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-8, -16, -12, 4],
 [24, 28, 20, -12],
 [-8, -16, -12, 4],
 [12, 19, 14, -6]]

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


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

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


[User]
What is the rank of the matrix:
[[7, -7, 0, -20],
 [11, -6, 12, -23],
 [8, 12, -18, -8],
 [-2, 2, 22, 12]]?

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


[User]
What is the rank of the matrix:
[[17, -10, 1, -5],
 [-22, 12, 2, -2],
 [-7, 4, 0, 1],
 [-22, 12, 2, -2]]?

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[7, 3, -9, 3],
 [4, 8, -2, 2],
 [0, -4, -2, -2],
 [-2, -8, -1, 1]]?

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


[User]
Determine the rank of the following matrix:
[[15, 13, -23, -20],
 [2, 0, 15, -1],
 [-9, -12, -7, 2],
 [-4, -1, -1, 7]]

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


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

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[1, 4, -9, -3],
 [2, 14, 9, -15],
 [-8, -14, -9, -3],
 [-9, -18, 9, 0]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[5, 0, 3, -10],
 [-2, 2, -2, 8],
 [-15, -5, -7, 20],
 [-8, -2, -4, 12]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[24, 4, 12, 8],
 [-12, 2, -6, -2],
 [4, 2, 2, 2],
 [20, 2, 10, 6]]

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


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

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


[User]
Determine the rank of the following matrix:
[[10, -5, -27, 11],
 [-10, 0, 16, -8],
 [-4, 3, 11, -1],
 [-2, -1, -7, 15]]

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


[User]
Determine the rank of the following matrix:
[[-6, 12, -12, -6],
 [6, -3, 12, 15],
 [2, 3, 4, 9],
 [-6, 3, -12, -15]]

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


[User]
Determine the rank of the following matrix:
[[-8, 18, 3, 12],
 [23, 7, 10, -14],
 [-10, -5, -16, 8],
 [-3, -12, -5, -2]]

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-14, 4, -8, 18],
 [12, 18, 24, -4],
 [-15, -15, -24, 9],
 [-19, -16, -28, 13]]

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


[User]
Find the rank of the matrix:
[[8, -4, 4, 16],
 [2, -1, 1, 4],
 [-4, 2, -2, -8],
 [-8, 4, -4, -16]]

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


[User]
What is the rank of the matrix:
[[-27, -4, 7, -9],
 [-2, 7, 0, 3],
 [-19, 12, -1, 3],
 [-25, -7, -1, -7]]?

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


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

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


[User]
What is the rank of the matrix:
[[-6, -6, 14, 4],
 [-9, 0, 5, -11],
 [0, -2, 0, 2],
 [3, -4, -7, 5]]?

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


[User]
Find the rank of the matrix:
[[-11, 27, -4, -2],
 [-8, 27, -7, -6],
 [-7, -8, -8, 1],
 [11, -19, -2, -4]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[12, 16, 0, -4],
 [0, 1, -1, 3],
 [-6, -5, -3, 11],
 [21, 25, 3, -16]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[6, -6, -2, 2],
 [16, -9, 11, -4],
 [-2, 3, 3, -2],
 [-5, 3, -3, 1]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[4, -8, 8, -16],
 [-6, -10, -4, -2],
 [8, 17, 4, 7],
 [14, 5, 16, -17]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-12, 5, -20, 0],
 [13, 15, 20, 20],
 [-4, -7, 2, -13],
 [2, 0, 10, -3]]

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


[User]
Determine the rank of the following matrix:
[[4, -2, 2, -2],
 [24, -15, 12, 5],
 [24, -9, 6, 3],
 [8, 1, -3, 5]]

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


[User]
Calculate the rank of matrix A where A =
[[-7, -2, -4, -1],
 [-11, -18, 16, 17],
 [3, -14, 8, -21],
 [14, -12, 20, -8]]

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


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

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


[User]
Find the rank of the matrix:
[[0, 2, 3, -2],
 [12, 0, 4, -3],
 [16, -20, 10, 3],
 [20, -16, -4, 6]]

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


[User]
What is the rank of the matrix:
[[16, 18, 10, 1],
 [4, 2, 4, 2],
 [9, -4, -3, 10],
 [-12, -4, 2, -7]]?

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


[User]
What is the rank of the matrix:
[[0, -5, 8, 1],
 [-10, 0, 2, -6],
 [-5, 5, -7, -4],
 [11, -2, 1, 7]]?

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


[User]
Determine the rank of the following matrix:
[[9, -13, -3, 19],
 [-3, 19, 7, -15],
 [9, 8, -1, 0],
 [-20, -10, 0, -10]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-4, -2, 17, 20],
 [2, 8, -3, -6],
 [15, 9, 6, 3],
 [7, 3, -13, -16]]

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


[User]
What is the rank of the matrix:
[[2, 10, 0, -16],
 [-1, -2, -16, 9],
 [8, 15, -16, -3],
 [-11, -5, 4, -21]]?

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


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

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


[User]
What is the rank of the matrix:
[[15, 4, -14, 8],
 [12, 8, -16, 8],
 [2, 6, -6, -6],
 [7, -18, 12, 6]]?

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


[User]
Calculate the rank of matrix A where A =
[[-1, 2, 2, -7],
 [11, -8, -14, -5],
 [4, 12, -10, -22],
 [1, -6, 1, 4]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-8, 24, -16, 8],
 [4, 4, -15, -14],
 [-4, 12, -13, 6],
 [8, -18, 8, -12]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-4, -5, 1, -7],
 [-8, 6, 2, 10],
 [16, 4, -4, 4],
 [0, 0, 0, 0]]

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


[User]
Determine the rank of the following matrix:
[[-12, 11, 6, -3],
 [3, 1, 1, -3],
 [18, -10, 2, 2],
 [18, -11, 13, 10]]

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[5, 22, -3, 0],
 [-4, -8, -12, -16],
 [-1, -10, 21, 16],
 [7, 18, -9, 8]]?

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


[User]
What is the rank of the matrix:
[[11, 6, -11, -21],
 [13, 5, 21, -1],
 [8, 6, 22, 2],
 [1, -5, -20, -8]]?

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


[User]
Find the rank of the matrix:
[[13, -3, -8, 4],
 [-4, 4, 14, -12],
 [-4, -4, -4, 32],
 [11, -1, 2, 2]]

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


[User]
Find the rank of the matrix:
[[12, 12, 4, -16],
 [-3, -2, -5, 20],
 [-18, -10, 0, -24],
 [-10, 18, -14, -8]]

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


[User]
Find the rank of the matrix:
[[15, 0, -21, -3],
 [-6, -16, -2, 14],
 [19, 4, -24, -7],
 [11, -4, -18, 1]]

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


[User]
Find the rank of the matrix:
[[8, -4, 8, -2],
 [4, -7, 5, -14],
 [-2, 1, -15, 20],
 [5, -10, -16, 13]]

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


[User]
What is the rank of the matrix:
[[20, 8, 18, -7],
 [4, 0, 6, -5],
 [0, 4, 4, -4],
 [-16, -10, -14, 4]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[0, 0, 0, 0],
 [-12, -8, -16, 8],
 [-6, -4, -8, 4],
 [-9, -6, -12, 6]]

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


[User]
Calculate the rank of matrix A where A =
[[14, -16, 5, 24],
 [8, 22, -19, 8],
 [-1, 14, 13, -21],
 [20, 2, 29, 0]]

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


[User]
What is the rank of the matrix:
[[8, -16, 20, -30],
 [-8, 20, -19, 25],
 [14, 4, -9, 18],
 [-4, 28, -29, 41]]?

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


[User]
Find the rank of the matrix:
[[1, -9, 1, -10],
 [-1, -9, -16, 7],
 [13, 1, -12, -7],
 [5, -3, 3, -12]]

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


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

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


[User]
Find the rank of the matrix:
[[0, 0, 0, -4],
 [-6, 12, 18, -10],
 [3, -6, -9, 7],
 [3, -6, -9, 4]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-4, 4, -16, 2],
 [4, 2, -14, -8],
 [-6, 1, 1, 8],
 [-12, 2, 2, 16]]

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


[User]
Find the rank of the matrix:
[[12, -18, -12, -21],
 [-6, -6, -12, -3],
 [-6, 4, 0, 6],
 [3, -12, -12, -12]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[0, 0, 0, 0],
 [4, -20, 2, 0],
 [-2, 10, 4, -20],
 [0, -4, 12, -16]]

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


[User]
What is the rank of the matrix:
[[8, 2, -4, -10],
 [6, 6, 0, -22],
 [10, -2, -8, -6],
 [8, -4, -8, 4]]?

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


[User]
Find the rank of the matrix:
[[5, -4, 14, -7],
 [-6, 6, -9, 6],
 [-8, 10, 1, 4],
 [-8, 10, 1, 4]]

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


[User]
Determine the rank of the following matrix:
[[0, 12, 15, -7],
 [0, 12, 16, -4],
 [0, -6, -2, 20],
 [0, 3, 7, 8]]

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


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

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


[User]
Determine the rank of the following matrix:
[[1, -7, -14, 3],
 [-14, -2, -16, -2],
 [30, -18, -6, 12],
 [-32, 19, -4, -11]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-13, 16, 25, -4],
 [-27, 9, 18, -18],
 [-1, -3, 0, 0],
 [-5, 5, 8, -2]]

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


[User]
Determine the rank of the following matrix:
[[-5, 21, 3, 0],
 [-13, 1, 15, 15],
 [-2, -10, 2, 4],
 [3, -3, 11, 7]]

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


[User]
Find the rank of the matrix:
[[-4, -8, -4, -16],
 [-4, 16, 16, 4],
 [-2, 2, 3, -3],
 [-8, -4, 2, -22]]

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


[User]
What is the rank of the matrix:
[[4, 28, 5, 31],
 [8, 2, 16, 2],
 [5, 17, 1, 20],
 [6, 9, 16, 9]]?

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


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

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


[User]
What is the rank of the matrix:
[[8, 2, -7, 5],
 [3, 16, 3, -10],
 [-17, -28, 8, 0],
 [15, -14, -11, -13]]?

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[19, -3, -19, 6],
 [-16, -3, 16, -1],
 [-4, -12, 4, 8],
 [-11, -3, 11, 0]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-12, -12, 9, -9],
 [16, 16, -12, 12],
 [-16, -16, 12, -12],
 [-12, -12, 9, -9]]

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


[User]
What is the rank of the matrix:
[[-10, -8, -1, 3],
 [3, -12, 12, 9],
 [4, -16, 16, 12],
 [-18, -8, -7, 1]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[8, 4, 0, -4],
 [8, 16, -24, 14],
 [-8, -10, 12, -5],
 [8, 12, -16, 8]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[7, -8, -3, 8],
 [-12, 12, 6, -14],
 [8, -16, 0, 8],
 [-8, -8, 12, -12]]

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


[User]
Determine the rank of the following matrix:
[[12, 4, -12, -16],
 [-8, -4, 10, 22],
 [12, 2, -9, 1],
 [-4, 0, 2, -6]]

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


[User]
Calculate the rank of matrix A where A =
[[-3, -9, 0, 6],
 [2, 6, 0, -4],
 [8, 14, -6, -2],
 [5, 10, -3, -3]]

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


[User]
What is the rank of the matrix:
[[-2, -6, -4, -9],
 [20, -8, -6, -6],
 [1, -8, -11, -24],
 [-3, -4, -5, -12]]?

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


[User]
Calculate the rank of matrix A where A =
[[12, -6, 2, -4],
 [5, -19, -12, -9],
 [-8, -20, -20, -8],
 [12, 12, 16, 4]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-1, 21, -10, -15],
 [0, 0, 16, 0],
 [-4, -12, 20, 4],
 [6, -6, 12, 10]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[4, 4, 8, -8],
 [7, -9, 6, 10],
 [9, -15, 6, 18],
 [-6, 2, -8, 0]]

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


[User]
Find the rank of the matrix:
[[3, -4, 12, -6],
 [-2, 7, 0, -5],
 [-4, 12, -12, 8],
 [4, -15, 12, -11]]

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


[User]
Find the rank of the matrix:
[[14, 0, -1, 2],
 [-10, -6, 5, -4],
 [6, 12, -9, 6],
 [0, 14, -10, 6]]

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


[User]
Calculate the rank of matrix A where A =
[[20, -20, -4, 16],
 [-10, 16, 10, -9],
 [26, -8, 2, 25],
 [2, 10, 10, 2]]

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


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

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


[User]
Find the rank of the matrix:
[[2, -4, -2, 18],
 [-12, 4, -4, 16],
 [0, -2, 11, -3],
 [3, -1, 1, -4]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-2, 0, -6, 10],
 [-14, -10, -12, 10],
 [-9, -6, -9, 9],
 [-5, -2, -9, 13]]

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


[User]
Calculate the rank of matrix A where A =
[[-7, 2, -1, -4],
 [-24, 8, -1, -16],
 [8, -8, -11, 16],
 [-24, 8, -1, -16]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-5, 3, -9, -4],
 [-10, 2, -6, -11],
 [-5, 7, -21, -1],
 [-12, 4, -12, -12]]

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


[User]
Calculate the rank of matrix A where A =
[[-1, -4, 5, -3],
 [-1, 3, 22, -4],
 [-6, 2, 16, -8],
 [-5, -1, -6, -4]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-21, -2, -13, -12],
 [3, 14, -8, -12],
 [-11, -22, -28, 5],
 [36, 8, 4, 12]]

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


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

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


[User]
What is the rank of the matrix:
[[4, 10, 3, -11],
 [12, -9, 10, 15],
 [0, -6, 2, 0],
 [0, -9, 5, -8]]?

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


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

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


[User]
Find the rank of the matrix:
[[-3, 8, -6, 20],
 [7, -12, 10, -4],
 [8, -7, 7, 8],
 [5, 8, -4, 12]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-17, 1, -20, 12],
 [-1, -2, -1, -1],
 [-20, 16, -18, -2],
 [12, -11, 15, -17]]

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[9, -16, 7, 10],
 [-7, -2, -1, -10],
 [11, -8, 5, 14],
 [-3, -12, 3, -6]]

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


[User]
What is the rank of the matrix:
[[-9, -2, -19, 11],
 [-14, -4, -20, 14],
 [-2, 6, -6, -2],
 [-2, 2, 7, -4]]?

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


[User]
Calculate the rank of matrix A where A =
[[12, -7, 2, -2],
 [-8, 10, -12, 12],
 [12, -8, 4, -4],
 [16, -15, 14, -14]]

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


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

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


[User]
Determine the rank of the following matrix:
[[8, 8, -12, 18],
 [3, 17, 12, 1],
 [-5, 1, -4, -3],
 [0, 16, 4, 2]]

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


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

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


[User]
Find the rank of the matrix:
[[-3, -15, 12, -18],
 [1, -7, 8, -10],
 [-9, 3, -12, 10],
 [-1, 6, -10, 6]]

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


[User]
Find the rank of the matrix:
[[-8, 2, 18, -9],
 [-26, -24, 10, 12],
 [-24, -24, 4, 13],
 [0, -10, -10, 15]]

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


[User]
What is the rank of the matrix:
[[2, 8, 8, 14],
 [-1, 2, 5, 2],
 [1, 8, 10, 13],
 [2, -2, -7, -1]]?

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


[User]
Find the rank of the matrix:
[[-2, 11, 4, -16],
 [-16, 11, 10, 4],
 [-18, 8, 10, 12],
 [16, -11, -10, -4]]

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


[User]
Find the rank of the matrix:
[[-16, 0, -4, 4],
 [4, 0, 1, -1],
 [-12, 0, -3, 3],
 [4, 0, 1, -1]]

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


[User]
Find the rank of the matrix:
[[-1, -19, -15, -3],
 [4, 4, -3, 11],
 [2, 2, 3, -3],
 [-21, 1, 12, -14]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[14, -16, -14, -10],
 [-22, 21, 18, 15],
 [13, 2, 3, -6],
 [9, -10, -9, -6]]

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


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

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


[User]
Find the rank of the matrix:
[[-8, 15, 2, 11],
 [-9, 2, -3, 1],
 [7, -11, -1, -8],
 [-11, 10, -1, 7]]

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


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

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


[User]
Find the rank of the matrix:
[[-2, 15, -8, 4],
 [24, -20, 28, 16],
 [18, -10, 4, 18],
 [17, 1, 0, 21]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-1, 9, 3, 2],
 [0, -8, -7, -5],
 [-4, -4, 2, 8],
 [12, 16, 10, -9]]

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


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

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


[User]
What is the rank of the matrix:
[[-1, -6, 0, 8],
 [-6, 4, 12, 2],
 [7, -3, -5, 4],
 [0, 19, 21, -7]]?

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


[User]
Find the rank of the matrix:
[[0, 12, 12, 0],
 [6, 5, -4, 12],
 [33, 23, 2, 9],
 [3, 1, -6, 11]]

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


[User]
Calculate the rank of matrix A where A =
[[0, 2, -4, 2],
 [-4, -2, 12, 14],
 [-1, 2, -2, 6],
 [2, -6, 8, -14]]

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],
 [-3, -6, 9, -3],
 [1, 2, -3, 1]]

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


[User]
Determine the rank of the following matrix:
[[8, 12, 0, -16],
 [-17, -9, 3, 16],
 [12, -4, -4, 0],
 [14, -1, -4, -4]]

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


[User]
Determine the rank of the following matrix:
[[0, -8, -12, 20],
 [-15, 16, 4, -5],
 [3, -4, -2, 3],
 [-3, 10, 11, -18]]

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


[User]
Calculate the rank of matrix A where A =
[[6, -6, -15, -6],
 [-3, 3, 6, 11],
 [-1, 1, -1, 7],
 [-1, 1, 2, -3]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-4, -24, 28, 8],
 [18, 8, -6, -16],
 [11, 6, -5, -10],
 [-4, 16, -20, 0]]

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


[User]
What is the rank of the matrix:
[[-4, 11, -4, -8],
 [3, 3, 12, 6],
 [-3, -21, 2, 2],
 [-5, -4, -5, -6]]?

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


[User]
What is the rank of the matrix:
[[1, -2, -6, -1],
 [-3, 9, 12, 9],
 [4, -13, -14, -14],
 [2, -4, -12, -2]]?

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


[User]
Find the rank of the matrix:
[[-16, 4, 24, -4],
 [-8, 16, 20, -19],
 [8, -14, -20, 16],
 [8, 6, 4, -2]]

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


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

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


[User]
What is the rank of the matrix:
[[3, 7, -4, 0],
 [-14, -1, 2, 15],
 [-13, -5, 4, 12],
 [-2, 8, -4, 6]]?

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


[User]
Determine the rank of the following matrix:
[[8, 8, 26, -20],
 [-18, 9, -12, 6],
 [-8, -12, -20, 16],
 [14, 14, 2, -2]]

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


[User]
Find the rank of the matrix:
[[0, 8, 16, -4],
 [8, -7, 16, -11],
 [10, -22, 3, -19],
 [0, -11, -12, -7]]

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


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

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


[User]
What is the rank of the matrix:
[[1, 3, -4, 0],
 [1, 3, -4, 0],
 [-4, -12, 16, 0],
 [-3, -9, 12, 0]]?

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-10, 20, 28, 0],
 [0, -18, -20, -7],
 [16, -26, -32, -13],
 [-2, 34, 40, 9]]

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


[User]
What is the rank of the matrix:
[[16, 0, -4, -12],
 [0, 1, -3, 4],
 [-16, -3, 13, 0],
 [-12, 1, 0, 13]]?

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-16, 6, -40, -5],
 [-23, 6, -12, -2],
 [-2, 2, 4, -2],
 [9, 2, 8, -5]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[15, 13, -13, -12],
 [9, -13, 7, 15],
 [15, 11, -11, -9],
 [14, 2, -6, -2]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[1, 11, 11, -10],
 [-11, -5, 5, -2],
 [-2, -6, -6, 4],
 [12, 4, -16, 0]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[2, -2, 0, 3],
 [-2, 2, 0, -3],
 [5, -11, 0, 8],
 [-8, 14, -15, -10]]

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


[User]
Calculate the rank of matrix A where A =
[[12, -12, 12, 16],
 [-12, 12, -12, -16],
 [-9, 9, -9, -12],
 [-12, 12, -12, -16]]

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


[User]
Determine the rank of the following matrix:
[[-16, 14, 11, -16],
 [-16, 5, 4, -18],
 [4, 1, 1, -2],
 [-32, 16, 12, -16]]

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


[User]
Calculate the rank of matrix A where A =
[[-6, -6, 5, 4],
 [8, 0, -12, 0],
 [-10, -9, 9, 6],
 [-12, -6, 14, 4]]

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


[User]
Find the rank of the matrix:
[[-22, 7, 0, -11],
 [-14, 3, -4, -15],
 [14, -3, 4, 15],
 [19, -6, 1, 11]]

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


[User]
Calculate the rank of matrix A where A =
[[-4, 16, -17, -13],
 [1, -11, 6, 5],
 [4, -24, 19, 15],
 [-1, 11, -6, -5]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-13, 7, 13, 9],
 [-10, -20, -12, 12],
 [7, 2, -2, -6],
 [-4, 16, 16, 0]]

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


[User]
What is the rank of the matrix:
[[-15, -9, -3, 4],
 [-6, 6, 0, 2],
 [2, -10, -1, -1],
 [16, -8, 1, -5]]?

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


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

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


[User]
Find the rank of the matrix:
[[0, -6, 2, -8],
 [3, 20, -6, 30],
 [-6, -12, 14, -14],
 [5, -6, -12, -14]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[6, -10, 6, 6],
 [19, -6, 19, -16],
 [-16, 9, -17, 18],
 [5, -14, 8, -17]]

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


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

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


[User]
What is the rank of the matrix:
[[2, 2, -12, 10],
 [-10, -8, 20, -14],
 [0, -10, -24, 20],
 [-4, -3, 4, -2]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[19, 18, -20, -2],
 [15, 12, -8, 14],
 [-11, -4, 8, -6],
 [-3, 3, -6, -18]]

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


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

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


[User]
Determine the rank of the following matrix:
[[0, -11, -21, -20],
 [-6, -15, -3, -3],
 [-8, -13, 11, 3],
 [-7, -8, 16, 9]]

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


[User]
Calculate the rank of matrix A where A =
[[8, 2, -2, 4],
 [-12, -3, 3, -6],
 [-8, 5, -1, -8],
 [-10, -13, 7, 1]]

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


[User]
What is the rank of the matrix:
[[4, 3, 3, 0],
 [4, 5, 5, -16],
 [0, -2, -2, 16],
 [-10, -6, -6, -12]]?

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


[User]
Find the rank of the matrix:
[[20, -13, -2, 15],
 [-16, -12, 8, -12],
 [-8, 1, 2, -6],
 [-8, 15, -2, -6]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-2, 4, 2, 2],
 [-1, -22, -13, -17],
 [12, 40, 28, 28],
 [2, 8, 6, 4]]

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[4, -12, 2, 5],
 [16, 20, 8, 3],
 [0, -12, 0, 3],
 [-12, -12, -6, -3]]

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


[User]
Determine the rank of the following matrix:
[[-1, -2, 5, 12],
 [2, -1, 0, 1],
 [2, -4, 6, 16],
 [-6, 3, 0, -3]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[4, 5, -22, 9],
 [2, 10, -12, 8],
 [14, -3, -24, 15],
 [5, 2, 4, 5]]

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


[User]
What is the rank of the matrix:
[[12, 9, -3, 9],
 [-6, -8, 4, 8],
 [-10, -7, 13, 27],
 [-17, -9, 7, -8]]?

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


[User]
What is the rank of the matrix:
[[-20, -14, 3, 15],
 [-4, 0, 2, 3],
 [16, 16, 0, -12],
 [-8, 4, 1, 6]]?

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


[User]
Calculate the rank of matrix A where A =
[[-4, 2, -1, 3],
 [-12, 6, -3, 9],
 [16, -8, 4, -12],
 [0, 0, 0, 0]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[9, 9, 0, 9],
 [-9, -1, 10, 17],
 [6, -10, 16, 17],
 [-21, -9, -9, -24]]

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


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

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


[User]
What is the rank of the matrix:
[[4, 5, -16, -2],
 [0, 2, 8, -4],
 [6, 15, 6, -18],
 [2, 5, 2, -6]]?

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


[User]
Calculate the rank of matrix A where A =
[[0, 5, 6, -20],
 [-19, -25, -2, 4],
 [-10, -14, -2, 4],
 [-16, -13, 7, -6]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[12, 9, -3, 6],
 [4, 3, -1, 2],
 [4, 3, -1, 2],
 [0, 0, 0, 0]]

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


[User]
Find the rank of the matrix:
[[-6, -10, -9, -8],
 [0, 4, -12, 8],
 [-4, -10, 4, -12],
 [8, 20, -8, 24]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-6, -21, 6, 3],
 [10, 2, 2, -5],
 [-14, -16, 2, 7],
 [-4, 8, -4, 2]]

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-7, -8, 4, -16],
 [-14, -10, -14, -27],
 [-16, -18, 13, -2],
 [8, 8, -1, 13]]

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


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

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


[User]
What is the rank of the matrix:
[[6, -9, -14, -1],
 [-12, 0, 14, -14],
 [-4, -9, -4, -11],
 [-18, -3, 17, -22]]?

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


[User]
Calculate the rank of matrix A where A =
[[2, 6, -3, -12],
 [3, 14, 3, -8],
 [1, 2, -3, -8],
 [0, 2, 3, 4]]

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


[User]
Determine the rank of the following matrix:
[[-4, -5, 3, 5],
 [-28, 9, 14, 6],
 [-12, 5, 2, -2],
 [-8, 0, 4, 3]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[1, -10, -1, 10],
 [-1, 14, 1, -8],
 [1, -3, -1, 4],
 [-13, -8, 13, 10]]

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


[User]
Calculate the rank of matrix A where A =
[[-6, -2, -8, -8],
 [0, 0, 0, 0],
 [-12, -4, -16, -16],
 [9, 3, 12, 12]]

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


[User]
Calculate the rank of matrix A where A =
[[12, 6, 9, 3],
 [12, 6, 9, 3],
 [4, 2, 3, 1],
 [0, 0, 0, 0]]

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


[User]
What is the rank of the matrix:
[[8, 0, 14, -19],
 [1, 3, -2, 4],
 [9, 3, 12, -15],
 [14, 18, 2, 5]]?

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


[User]
What is the rank of the matrix:
[[-12, -24, 0, 24],
 [12, 14, -5, -4],
 [-9, -8, 5, -2],
 [0, -4, -2, 8]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[3, -2, -4, 1],
 [9, -6, -12, 3],
 [3, -2, -4, 1],
 [0, 0, 0, 0]]

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-1, 1, -12, 10],
 [-1, 13, 6, -10],
 [-1, 16, 12, -16],
 [-5, 11, 0, 6]]

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


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

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-12, -8, -6, -4],
 [6, 10, -8, 6],
 [4, 16, -14, 6],
 [-2, -6, 4, -2]]

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


[User]
Calculate the rank of matrix A where A =
[[7, 0, 1, 4],
 [1, -17, 5, -14],
 [2, 22, -6, 20],
 [-1, 10, -3, 8]]

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


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

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


[User]
Find the rank of the matrix:
[[8, 8, -6, -6],
 [0, 0, 0, 0],
 [-8, -10, 6, 7],
 [16, 16, -12, -12]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[2, 20, -9, 11],
 [6, 1, 2, 4],
 [-4, 8, -18, 2],
 [-2, 19, -5, 8]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[0, 0, 0, 0],
 [-12, -9, 3, 6],
 [16, 2, -6, -12],
 [20, 5, -7, -14]]

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


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

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


[User]
What is the rank of the matrix:
[[-7, -6, -5, -11],
 [10, 7, -7, 0],
 [16, 11, -13, -2],
 [-7, -5, 4, -1]]?

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


[User]
Determine the rank of the following matrix:
[[2, 5, -8, -3],
 [-3, -15, 12, 12],
 [0, -3, 0, 3],
 [1, 13, -4, -12]]

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


[User]
Determine the rank of the following matrix:
[[-20, -2, 6, -5],
 [-2, 6, -1, -14],
 [-6, 6, 0, -16],
 [23, 7, -10, -7]]

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


[User]
Determine the rank of the following matrix:
[[-2, -12, 11, -9],
 [-24, 6, -18, 12],
 [6, 0, 7, 15],
 [0, 12, -15, -3]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-12, 11, -13, -6],
 [-22, 23, -7, -8],
 [6, -10, 8, 2],
 [-4, 13, 7, 2]]

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


[User]
Find the rank of the matrix:
[[-6, 8, -12, 14],
 [-3, -4, 16, -9],
 [-7, -1, 4, -1],
 [-7, -13, 12, -17]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[20, -26, 4, -15],
 [4, -11, 12, -6],
 [0, 7, -18, 0],
 [20, -9, -10, 9]]

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


[User]
Find the rank of the matrix:
[[24, 8, -8, -4],
 [-9, -2, 3, 1],
 [6, -2, -2, 1],
 [-9, 2, 3, -1]]

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


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

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


[User]
What is the rank of the matrix:
[[2, -1, -7, -2],
 [-27, 25, 20, 10],
 [4, -11, 13, -22],
 [20, -19, -16, -11]]?

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


[User]
Calculate the rank of matrix A where A =
[[10, 4, 0, 0],
 [2, 2, 2, -1],
 [-1, 8, 14, -7],
 [1, 4, 6, -3]]

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


[User]
Calculate the rank of matrix A where A =
[[-6, -6, -3, 6],
 [-4, -4, -2, 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:
[[-2, -16, -14, 6],
 [2, 13, 10, -4],
 [0, -6, -8, 4],
 [0, 0, 0, 0]]

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-3, 12, -3, 0],
 [12, -8, -16, 4],
 [-6, -6, 15, -3],
 [-5, -10, 16, -3]]

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


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

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


[User]
Determine the rank of the following matrix:
[[15, -6, 6, -6],
 [3, 0, -2, 1],
 [4, 8, -24, 16],
 [0, -6, 16, -11]]

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