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

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


[User]
Find the rank of the matrix:
[[3, 10, -9, 6],
 [-3, -15, -6, -6],
 [-1, -6, -5, -2],
 [0, 4, 12, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[-14, -7, -9, 5],
 [2, -7, -9, -3],
 [-1, -14, -10, 15],
 [10, 11, 5, -23]]

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


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

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


[User]
What is the rank of the matrix:
[[-30, 19, -1, -10],
 [-14, 25, 3, -11],
 [24, -20, 12, 16],
 [-4, 20, -2, -11]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-12, 13, 3, -2],
 [-18, 12, -8, 2],
 [-6, 5, -1, 0],
 [-9, 0, -14, 5]]

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


[User]
Find the rank of the matrix:
[[12, -23, 15, -3],
 [-12, 16, -8, 4],
 [11, -6, -4, -3],
 [10, -9, 1, -3]]

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


[User]
Find the rank of the matrix:
[[-16, 12, 4, 4],
 [16, -14, 0, -5],
 [-16, 16, -4, 6],
 [-12, 13, -5, 5]]

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


[User]
Determine the rank of the following matrix:
[[16, -10, -11, 0],
 [-13, 27, 15, 5],
 [6, 4, -4, -2],
 [-18, 16, 19, 10]]

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


[User]
Find the rank of the matrix:
[[3, -9, 9, -9],
 [-13, -2, -14, 7],
 [-18, -17, 1, -10],
 [-12, -1, -1, -2]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-9, 0, -3, 6],
 [-13, 2, -7, 10],
 [-4, 8, -12, 8],
 [0, 6, -8, 4]]

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


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

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


[User]
Determine the rank of the following matrix:
[[6, -4, 14, -5],
 [-28, 24, -20, 0],
 [24, -20, 20, -1],
 [-15, 13, -9, -1]]

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


[User]
Find the rank of the matrix:
[[1, -10, -13, -12],
 [-1, -16, -19, -6],
 [2, -15, -11, -17],
 [-1, 0, 3, 6]]

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


[User]
Find the rank of the matrix:
[[-4, -12, 0, 16],
 [-9, 0, 9, -12],
 [-13, -12, 9, 4],
 [12, 0, -12, 16]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[4, 2, 18, -6],
 [-12, 20, 32, 8],
 [9, -9, -5, 1],
 [0, 0, 0, 0]]

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


[User]
Determine the rank of the following matrix:
[[4, 2, 7, 1],
 [16, -3, 6, 15],
 [16, -2, 8, 14],
 [-8, 3, 0, -9]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[0, 9, -3, 6],
 [-24, 15, 3, -12],
 [-4, 10, -2, 3],
 [12, -9, -1, 5]]?

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


[User]
Find the rank of the matrix:
[[4, -6, -12, -13],
 [-12, -4, 3, 6],
 [-8, 4, 12, 14],
 [-8, -10, -9, -7]]

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


[User]
Calculate the rank of matrix A where A =
[[7, -21, -5, 1],
 [14, -3, -11, 3],
 [-15, 9, 13, 0],
 [16, 12, -12, 6]]

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


[User]
Determine the rank of the following matrix:
[[-2, -13, -7, -2],
 [19, 8, -7, -2],
 [4, 5, -1, -4],
 [4, -7, -7, -2]]

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


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

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-10, 0, -20, 20],
 [9, 0, 12, -6],
 [9, -2, 17, -14],
 [-12, 1, -16, 7]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-17, -3, 3, 4],
 [-20, 0, 0, -8],
 [-15, 0, 0, -6],
 [16, -1, 1, 10]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-12, 8, 5, -19],
 [13, 11, 9, 11],
 [16, -6, 26, 16],
 [-8, -18, -15, -1]]

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


[User]
Calculate the rank of matrix A where A =
[[-22, 5, 2, 12],
 [-9, 10, -15, 3],
 [4, 3, -8, -2],
 [8, -8, 14, 17]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-4, 11, 1, 9],
 [-28, -8, 7, -5],
 [-24, -9, 6, -6],
 [20, 5, -5, 3]]

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


[User]
Calculate the rank of matrix A where A =
[[-5, 7, 5, 1],
 [-3, -14, -4, -12],
 [3, 1, -1, 3],
 [-2, 8, 4, 4]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[16, 18, 0, 0],
 [-4, -23, -13, -9],
 [8, 10, -14, 6],
 [-16, 6, 8, 15]]

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


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

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


[User]
Find the rank of the matrix:
[[-18, 27, -9, -15],
 [-16, 23, -16, -5],
 [9, -6, 18, -13],
 [17, -4, 10, -11]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[5, 2, -7, 18],
 [-14, 10, -20, -3],
 [-5, 0, -3, -7],
 [4, 0, -2, 10]]

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


[User]
Calculate the rank of matrix A where A =
[[-8, 1, 7, 5],
 [-8, 7, 4, 8],
 [-12, 3, 7, 0],
 [12, 15, -9, 30]]

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-8, 0, -4, 4],
 [14, 1, 10, -10],
 [2, -7, -20, 20],
 [-2, 3, 8, -8]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-4, -16, 12, 20],
 [0, 5, -3, -9],
 [3, -3, 0, 12],
 [-9, -11, 12, 0]]

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


[User]
Find the rank of the matrix:
[[5, 1, 2, -7],
 [8, 4, 6, -6],
 [-3, -3, -4, -1],
 [-11, -7, -10, 5]]

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


[User]
Determine the rank of the following matrix:
[[7, -1, -6, -1],
 [-16, -8, 0, -8],
 [-22, -14, -4, -14],
 [10, 8, 4, 8]]

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


[User]
Calculate the rank of matrix A where A =
[[-4, -2, -13, -11],
 [18, -4, 28, 34],
 [-18, 24, -22, -8],
 [-7, 0, -16, -15]]

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


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

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


[User]
Determine the rank of the following matrix:
[[0, -4, -22, -15],
 [7, 16, 4, -10],
 [-7, 6, 5, -2],
 [15, -12, -22, -6]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[20, -8, 16, 4],
 [18, -8, 12, 2],
 [1, 3, -1, 7],
 [13, -1, -5, 11]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[7, -6, 4, 1],
 [-20, -1, -3, 9],
 [16, 2, 2, -8],
 [8, 3, -3, -5]]

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


[User]
Calculate the rank of matrix A where A =
[[-2, -12, -4, 26],
 [3, 2, 4, 5],
 [-5, -9, -8, 5],
 [-10, -21, -17, 16]]

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


[User]
Find the rank of the matrix:
[[-12, 16, 0, 0],
 [2, -12, 2, -2],
 [8, 0, -10, -26],
 [14, 7, -10, -11]]

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


[User]
Determine the rank of the following matrix:
[[-1, -13, -5, 3],
 [-18, -14, 8, -20],
 [-13, -31, -2, -12],
 [5, 6, -3, 10]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-16, 8, 13, 10],
 [3, -6, 9, -6],
 [-7, 3, 16, 22],
 [-2, 4, -13, -10]]

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


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

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


[User]
What is the rank of the matrix:
[[-7, -8, 8, 12],
 [-25, -1, 1, 40],
 [-10, -4, 4, 16],
 [-2, -28, 28, -12]]?

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


[User]
What is the rank of the matrix:
[[-3, 17, -22, 28],
 [9, -7, 20, -32],
 [-8, 16, -28, 40],
 [6, 6, 20, -24]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[16, 6, -12, 8],
 [10, 3, 0, -4],
 [18, 5, 4, -12],
 [0, 2, -20, 24]]

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


[User]
What is the rank of the matrix:
[[-8, 3, -15, 2],
 [15, 0, 9, 3],
 [-14, -1, -5, -4],
 [15, 5, -8, 9]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[-6, 6, 0, 16],
 [6, -6, 0, -16],
 [-1, -10, 22, -1],
 [-1, -10, 22, -1]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[12, 5, 2, 5],
 [-24, 4, -8, -8],
 [4, 4, 0, 2],
 [-8, 20, -8, 0]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-1, 3, -5, 10],
 [-3, 5, -6, 13],
 [17, -11, -5, 0],
 [6, 2, -15, 25]]

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


[User]
What is the rank of the matrix:
[[30, 8, 36, 25],
 [-10, 15, -20, -15],
 [12, -8, 6, 3],
 [6, 5, 6, 4]]?

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


[User]
Find the rank of the matrix:
[[-21, -7, -8, 9],
 [-3, 25, -16, -3],
 [9, 37, -16, -9],
 [-18, -11, -4, 12]]

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


[User]
Find the rank of the matrix:
[[6, 2, 7, -4],
 [-13, 3, 16, 16],
 [-7, 1, 6, 8],
 [-13, 3, 16, 16]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[2, 4, -2, 4],
 [0, -8, 6, -14],
 [0, 4, -3, 7],
 [-2, -4, 2, -4]]

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


[User]
What is the rank of the matrix:
[[12, 25, -16, -16],
 [-12, -5, 11, -4],
 [8, -10, -4, 16],
 [12, 5, -11, 4]]?

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-6, -6, 6, 12],
 [0, -16, 0, -8],
 [2, -14, -2, -12],
 [-2, -10, 2, 0]]

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


[User]
Find the rank of the matrix:
[[2, 2, 12, 6],
 [17, 6, 5, 1],
 [25, 12, 16, 5],
 [-1, 2, 14, 7]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[4, -6, 0, 1],
 [12, 10, -28, 17],
 [12, -22, 4, 1],
 [-4, 18, -12, 5]]

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],
 [-16, 16, 0, -4]]

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


[User]
What is the rank of the matrix:
[[6, 22, -16, -11],
 [-8, 10, 14, -4],
 [-6, -6, 12, -1],
 [-8, 11, 13, -8]]?

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


[User]
Find the rank of the matrix:
[[-5, -2, -10, -22],
 [-2, -4, -12, -20],
 [6, -4, -4, 4],
 [16, -16, -24, -8]]

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


[User]
What is the rank of the matrix:
[[6, 1, 8, -5],
 [29, 11, 21, -11],
 [-7, 9, -1, 2],
 [16, -7, 8, -6]]?

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


[User]
Calculate the rank of matrix A where A =
[[5, 20, -3, -4],
 [5, 12, 1, 8],
 [-6, -15, 0, -6],
 [0, 8, -6, -18]]

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


[User]
Find the rank of the matrix:
[[3, -3, -1, 4],
 [-2, -12, 2, 2],
 [-13, 6, 5, -15],
 [6, 15, -4, 1]]

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


[User]
Determine the rank of the following matrix:
[[6, -8, 2, 6],
 [9, 9, 9, -6],
 [21, -8, -9, 9],
 [0, -7, -2, 5]]

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


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

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


[User]
What is the rank of the matrix:
[[-17, -8, -28, 19],
 [13, 7, 24, -17],
 [4, 18, 24, -8],
 [11, -4, 8, -10]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[1, -2, -6, -1],
 [-4, 17, 6, 19],
 [-4, 11, 18, 9],
 [12, 9, 6, -3]]

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


[User]
Calculate the rank of matrix A where A =
[[5, -19, 7, -3],
 [-12, -12, -6, 12],
 [6, -12, -5, -11],
 [-3, 9, -9, -1]]

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


[User]
Determine the rank of the following matrix:
[[-11, 9, 2, 4],
 [12, -12, 6, -14],
 [6, 6, 2, 2],
 [1, 9, -3, 9]]

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


[User]
Calculate the rank of matrix A where A =
[[6, 0, 2, -8],
 [-14, 6, -10, 22],
 [14, -6, 10, -22],
 [-4, 3, -4, 7]]

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


[User]
What is the rank of the matrix:
[[-9, 9, 8, 3],
 [11, -11, -7, -2],
 [-9, 9, 3, 0],
 [18, -18, -11, -3]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[3, -3, 3, -2],
 [8, -10, 2, -1],
 [-17, 25, 7, -6],
 [12, -18, -6, 5]]

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


[User]
What is the rank of the matrix:
[[-4, 1, -1, 8],
 [14, -10, 0, -24],
 [-5, 11, 4, 4],
 [-3, -9, -6, 12]]?

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


[User]
Find the rank of the matrix:
[[17, 2, 18, 7],
 [-18, 13, -13, -5],
 [3, 15, -10, 15],
 [13, -8, 23, -4]]

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


[User]
Determine the rank of the following matrix:
[[-6, -1, 0, -9],
 [-2, -4, 4, -8],
 [-18, 8, -12, -12],
 [-3, -6, 6, -12]]

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


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

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


[User]
What is the rank of the matrix:
[[-14, -12, 2, -10],
 [4, 3, -1, 3],
 [-4, 0, 4, -4],
 [-18, -15, 3, -13]]?

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


[User]
Determine the rank of the following matrix:
[[-1, -10, -2, 17],
 [-2, -8, 2, 4],
 [0, 2, 1, -5],
 [2, 10, -1, -9]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-2, -10, 12, -15],
 [-14, -10, 12, -9],
 [14, -1, 4, -10],
 [-10, -8, 12, -9]]

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-3, 14, -5, 13],
 [7, 10, -7, 15],
 [-18, 4, 5, -7],
 [-16, 0, 6, -10]]?

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


[User]
Calculate the rank of matrix A where A =
[[15, 0, -10, -5],
 [5, 10, 0, 5],
 [-9, -9, 3, -3],
 [-15, 0, 10, 5]]

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


[User]
Find the rank of the matrix:
[[0, 0, 0, -12],
 [0, 0, 0, -3],
 [0, 0, 0, -3],
 [0, 0, 0, 3]]

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


[User]
What is the rank of the matrix:
[[2, -2, 14, 0],
 [7, 16, -16, -9],
 [7, 16, -16, -9],
 [13, 4, -2, 1]]?

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[4, -8, 8, 10],
 [8, -12, 16, 14],
 [-1, 3, -2, -4],
 [3, -5, 6, 6]]

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


[User]
What is the rank of the matrix:
[[16, 8, -16, -20],
 [-8, 0, 16, -12],
 [-8, -4, 8, 10],
 [12, 4, -16, -4]]?

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


[User]
Calculate the rank of matrix A where A =
[[-16, -19, -13, 13],
 [4, 4, -2, -20],
 [-16, -4, -13, 12],
 [-20, -17, -19, 7]]

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


[User]
Calculate the rank of matrix A where A =
[[-3, 1, -3, 2],
 [21, -9, 6, -3],
 [-5, 3, 5, -4],
 [-25, 11, -5, 2]]

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


[User]
Determine the rank of the following matrix:
[[4, -5, -10, -8],
 [5, -10, -14, 17],
 [8, -10, -8, 8],
 [13, -11, -4, -11]]

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


[User]
Find the rank of the matrix:
[[-3, -12, -6, 6],
 [22, 2, -21, 21],
 [-9, 6, 8, -8],
 [4, 0, -1, 1]]

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


[User]
Calculate the rank of matrix A where A =
[[1, -8, 4, 7],
 [-13, 20, -10, -19],
 [-3, 24, -12, -21],
 [10, 4, -2, -2]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[6, -1, -6, -5],
 [9, -12, -6, -6],
 [-9, 5, 8, 7],
 [3, -25, 4, 1]]?

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


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

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


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

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


[User]
What is the rank of the matrix:
[[15, -9, -10, 9],
 [16, 0, 4, 16],
 [12, -24, -32, -4],
 [-10, -3, -5, -12]]?

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-16, -12, 10, 20],
 [-12, -4, 8, 16],
 [-6, 8, 5, 10],
 [-8, -16, 4, 8]]

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


[User]
Find the rank of the matrix:
[[19, 8, 4, 5],
 [24, -12, -7, -13],
 [-9, 20, 5, 14],
 [3, 4, 6, 6]]

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


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

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


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

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[12, 8, 10, -12],
 [-11, 5, 9, -6],
 [-2, -5, -7, 7],
 [-11, -8, -9, 11]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-6, 0, -10, -10],
 [2, -22, 4, -20],
 [-11, 1, -3, -9],
 [-4, -2, 6, -2]]

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


[User]
Find the rank of the matrix:
[[-11, -5, 2, 8],
 [-12, -9, 4, 8],
 [8, 5, -7, -5],
 [-12, -12, 0, 8]]

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


[User]
Find the rank of the matrix:
[[9, 7, -7, -3],
 [-6, -5, 4, 1],
 [-18, -5, 10, 19],
 [15, 1, 11, -9]]

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


[User]
Determine the rank of the following matrix:
[[0, -4, 0, -8],
 [-2, 10, -6, 10],
 [-8, -2, -4, 12],
 [7, -3, 6, -13]]

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


[User]
Find the rank of the matrix:
[[-7, -21, -15, 12],
 [5, -21, -4, 19],
 [-6, -16, 1, 9],
 [11, -15, 9, 18]]

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


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

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


[User]
Determine the rank of the following matrix:
[[0, 0, 0, 0],
 [-9, 0, 15, 21],
 [4, 16, -16, -16],
 [-1, 8, -3, -1]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[1, 3, -2, 4],
 [-3, -5, -10, -14],
 [4, -1, -22, -16],
 [-4, 0, 8, 6]]

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


[User]
Determine the rank of the following matrix:
[[8, 12, -4, 4],
 [4, -9, 1, -1],
 [-2, 17, -3, 3],
 [-4, 9, -1, 1]]

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


[User]
Calculate the rank of matrix A where A =
[[0, -11, -6, -3],
 [11, 0, 9, -12],
 [-8, -5, -12, 11],
 [-12, -4, -12, 12]]

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[2, 16, -5, -8],
 [-4, 8, 2, -12],
 [6, -12, -15, 26],
 [4, 12, 3, -8]]?

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


[User]
Find the rank of the matrix:
[[7, -1, -5, -4],
 [13, -11, -11, 6],
 [18, -10, -18, 0],
 [-17, 9, 19, 1]]

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


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

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


[User]
Find the rank of the matrix:
[[-7, 1, 32, 7],
 [1, 3, -21, -20],
 [5, -3, -16, 5],
 [-9, -13, 14, 19]]

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


[User]
What is the rank of the matrix:
[[-18, -14, -10, -11],
 [10, 13, 11, 9],
 [16, 15, 9, 8],
 [-4, 1, -1, -4]]?

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


[User]
Determine the rank of the following matrix:
[[1, 10, -8, 1],
 [4, 8, -16, -4],
 [-4, 24, 0, 12],
 [4, -20, -2, -11]]

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


[User]
What is the rank of the matrix:
[[-13, 13, 13, 7],
 [20, -15, -20, -14],
 [-9, 10, 9, 9],
 [9, -6, -9, -9]]?

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-3, 18, 16, -1],
 [-16, -16, -4, 16],
 [8, 15, 5, -13],
 [11, 2, 0, -3]]

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


[User]
Calculate the rank of matrix A where A =
[[7, -3, -12, -12],
 [3, 1, 2, 4],
 [-9, 1, 5, 0],
 [-8, -8, -10, 0]]

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


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

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


[User]
Find the rank of the matrix:
[[10, 10, 10, -12],
 [7, 3, -1, -14],
 [5, 15, 25, 8],
 [-12, -8, -4, 20]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-3, 1, 3, -4],
 [-12, 4, 12, -16],
 [6, -2, -6, 8],
 [0, 0, 0, 0]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[8, 5, 27, 1],
 [37, -1, 7, -7],
 [8, 20, 15, 1],
 [8, 0, 31, 1]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[9, -7, 9, 2],
 [0, 0, 0, 0],
 [18, -19, 0, -10],
 [-5, 5, -1, 2]]

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


[User]
Find the rank of the matrix:
[[7, -12, -6, -15],
 [10, -24, 0, -18],
 [7, -20, 4, -11],
 [8, -16, -4, -16]]

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


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

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


[User]
Determine the rank of the following matrix:
[[18, -3, 15, -6],
 [12, 3, 11, -10],
 [6, -11, 3, 10],
 [-3, -12, -5, 16]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[8, 8, 4, 24],
 [24, 8, 10, 4],
 [-4, -6, -18, 11],
 [-8, 2, 16, -19]]

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


[User]
Find the rank of the matrix:
[[-12, -16, -16, 4],
 [-9, -20, -4, -1],
 [-3, -8, 0, -1],
 [-9, -16, -8, 1]]

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


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

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


[User]
What is the rank of the matrix:
[[-10, 11, 6, 2],
 [6, 15, -12, -14],
 [5, -1, -6, -6],
 [3, 18, -3, 0]]?

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


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

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


[User]
What is the rank of the matrix:
[[7, 12, -15, -4],
 [2, 8, -2, 0],
 [-8, -5, 20, -3],
 [8, 2, -20, 12]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[-8, 5, 5, -6],
 [-8, 5, 5, -6],
 [16, -10, -10, 12],
 [-4, 11, 11, -6]]

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


[User]
Determine the rank of the following matrix:
[[4, 19, -4, 0],
 [12, -15, -12, 0],
 [8, 20, -8, 0],
 [12, -6, -12, 0]]

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


[User]
What is the rank of the matrix:
[[-14, 5, -4, 14],
 [-1, 10, 10, 22],
 [-20, 8, -6, 20],
 [-7, 13, 8, 28]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[-8, -6, -10, 20],
 [-12, -7, -13, 24],
 [0, -4, -4, 12],
 [-12, -3, -9, 12]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[0, 18, 15, 6],
 [-12, -12, -6, 0],
 [28, 4, -6, -8],
 [-20, -14, -5, 2]]

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


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

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


[User]
What is the rank of the matrix:
[[-4, 4, -2, 4],
 [-2, -2, -10, 13],
 [-4, -4, -2, 5],
 [1, -3, -7, 8]]?

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


[User]
Find the rank of the matrix:
[[-15, 6, -8, 0],
 [18, -3, 4, -3],
 [-13, -6, 8, 8],
 [8, 15, -20, -13]]

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


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

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


[User]
Determine the rank of the following matrix:
[[12, -24, 1, -4],
 [28, 4, 0, -8],
 [-5, -3, -4, -16],
 [-11, 11, -6, -20]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[9, 12, 12, -11],
 [5, 16, -4, 5],
 [-8, -4, -8, 12],
 [-16, -28, 0, 4]]

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


[User]
Determine the rank of the following matrix:
[[-9, -15, -19, 2],
 [-12, 20, 0, -4],
 [5, -15, -4, 15],
 [-10, -5, -14, -15]]

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


[User]
Find the rank of the matrix:
[[6, 9, -10, 5],
 [6, 4, -6, 2],
 [3, -8, 5, -5],
 [0, 15, -12, 9]]

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


[User]
Calculate the rank of matrix A where A =
[[18, -5, -8, 18],
 [12, -19, 8, 4],
 [-14, 8, 24, -8],
 [8, -14, 12, 3]]

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


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

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


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

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-6, -3, -6, 1],
 [10, -16, 10, -11],
 [-14, -1, -14, 5],
 [4, -1, 4, -2]]

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


[User]
Calculate the rank of matrix A where A =
[[10, -4, 5, -9],
 [-28, 12, -8, 20],
 [-5, 3, 5, -2],
 [8, -4, -2, -2]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[26, -9, 0, 0],
 [-16, 20, 12, 6],
 [-29, 8, 3, -3],
 [-7, -4, 15, -12]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-1, 14, 15, 3],
 [0, 5, 6, 0],
 [-4, -4, -12, 12],
 [-4, 1, -6, 12]]

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


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

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


[User]
Find the rank of the matrix:
[[-1, 8, 8, 2],
 [-6, -3, 18, 9],
 [4, -6, 15, 10],
 [9, -6, -6, 0]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-16, -2, -5, 5],
 [-2, 13, -18, 16],
 [-6, 7, -10, 12],
 [6, -5, 14, -6]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-2, -7, -4, 3],
 [-4, 6, 12, -4],
 [-8, 8, 20, -6],
 [6, -9, -18, 6]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-2, 1, -4, 1],
 [-10, -10, -8, 8],
 [-20, -5, -28, 13],
 [4, -2, 8, -2]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-3, 13, 7, -7],
 [-3, 9, 9, -6],
 [-1, 3, 3, -2],
 [-4, 12, 12, -8]]

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


[User]
Calculate the rank of matrix A where A =
[[-10, 16, -24, 16],
 [-24, 8, -24, 4],
 [-5, -8, 8, -12],
 [-4, 16, -15, 13]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[12, 9, 3, -12],
 [22, 15, 4, -22],
 [-24, -16, -4, 24],
 [2, 3, 2, -2]]

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


[User]
Calculate the rank of matrix A where A =
[[-20, -18, -8, -6],
 [11, 6, 2, 6],
 [19, 8, 2, 12],
 [-4, 12, 8, -12]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[9, -41, -41, 3],
 [5, 9, 9, -11],
 [-8, -4, -4, 8],
 [-9, 34, 34, 0]]

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


[User]
Find the rank of the matrix:
[[8, -8, 17, -8],
 [9, -9, 4, -11],
 [14, -14, 0, -16],
 [7, -7, 3, 4]]

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


[User]
What is the rank of the matrix:
[[-5, -9, -15, 5],
 [-4, 0, -6, 4],
 [-1, -15, -14, 1],
 [2, -6, -2, -2]]?

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[16, 8, 5, -4],
 [-24, -8, -8, 20],
 [10, 8, -16, 33],
 [2, 2, -10, 17]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-16, -4, -12, -28],
 [-2, -25, 9, 0],
 [0, 28, -12, -4],
 [8, 9, 3, 13]]

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


[User]
What is the rank of the matrix:
[[-2, 5, -5, 17],
 [0, -3, -1, -3],
 [-2, 0, -4, 8],
 [1, -1, -1, -1]]?

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


[User]
Calculate the rank of matrix A where A =
[[-13, -16, -6, -6],
 [9, -12, -17, -17],
 [3, 12, 9, 9],
 [-13, -4, 5, 5]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-11, 12, 6, -14],
 [0, -12, -5, 3],
 [6, 36, 24, -3],
 [-4, -16, -8, 0]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-4, 10, 18, 14],
 [-13, 20, 10, 11],
 [16, -16, -12, -20],
 [-13, -9, -28, -1]]

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


[User]
Calculate the rank of matrix A where A =
[[37, -27, 13, 25],
 [-9, -3, 9, 2],
 [8, -11, 13, 1],
 [-5, 3, -5, 7]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-30, 24, 6, 17],
 [-19, 19, 10, 15],
 [3, -10, -15, -10],
 [-14, 14, 8, 11]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-6, 6, 1, 1],
 [-30, 16, -16, -18],
 [-3, 6, 25, 22],
 [-3, -6, -3, -6]]?

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


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

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


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

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


[User]
Find the rank of the matrix:
[[6, -8, 4, -8],
 [4, 20, -16, 6],
 [-9, -6, -12, 9],
 [24, 12, -10, -14]]

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


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

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


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

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


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

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[2, 1, 2, -4],
 [8, 7, 5, -8],
 [2, 7, -4, 12],
 [-6, -3, -6, 12]]

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


[User]
Determine the rank of the following matrix:
[[11, 7, -15, 9],
 [-2, -10, -6, -6],
 [14, 5, -23, 27],
 [10, 19, -1, -3]]

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


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

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


[User]
Determine the rank of the following matrix:
[[0, 12, -1, -10],
 [-14, 8, -10, -2],
 [6, 12, 3, -12],
 [-16, 4, -11, 2]]

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


[User]
Determine the rank of the following matrix:
[[7, -4, -1, 10],
 [-3, -24, -6, 6],
 [-2, 24, 6, -12],
 [3, 24, 6, -6]]

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


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

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


[User]
What is the rank of the matrix:
[[16, 1, 10, 3],
 [-5, 13, 13, -12],
 [20, -13, 12, 1],
 [-16, 16, 7, -14]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[-8, 8, 8, 6],
 [-16, 6, 4, 0],
 [-8, 8, 8, 6],
 [0, 15, 18, 18]]

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


[User]
Find the rank of the matrix:
[[1, 16, 1, -7],
 [3, -17, -2, 4],
 [16, -4, -4, -12],
 [6, -8, -2, -2]]

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


[User]
Determine the rank of the following matrix:
[[-6, -11, -5, -2],
 [-15, -2, -19, -10],
 [-18, -12, -18, -12],
 [18, 18, 5, 20]]

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


[User]
What is the rank of the matrix:
[[6, -1, 3, -7],
 [-2, -8, -6, 4],
 [2, 13, 9, -5],
 [14, 1, 9, -17]]?

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


[User]
Find the rank of the matrix:
[[-1, 18, -10, 12],
 [3, 2, 2, 6],
 [-4, 4, -6, -3],
 [1, -10, 6, -6]]

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


[User]
Determine the rank of the following matrix:
[[8, 6, 1, 24],
 [6, -2, 4, 5],
 [-8, 6, -7, 0],
 [0, -4, 2, -8]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[1, -1, 1, 1],
 [-1, 1, -1, -1],
 [10, 6, 10, -6],
 [28, 12, 28, -12]]

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


[User]
What is the rank of the matrix:
[[-4, -12, -11, 3],
 [-12, -10, -7, -17],
 [-14, -4, -24, -4],
 [-6, -15, 5, -17]]?

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


[User]
Find the rank of the matrix:
[[11, -8, -5, -11],
 [1, -4, -3, -1],
 [-18, 0, -2, 18],
 [15, 12, 11, -15]]

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


[User]
Calculate the rank of matrix A where A =
[[8, 10, -8, 6],
 [-24, 8, -10, 6],
 [20, 4, 0, -14],
 [-8, 1, 0, -23]]

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


[User]
What is the rank of the matrix:
[[1, 2, 2, -6],
 [4, -7, 3, -9],
 [4, -13, 1, -3],
 [-1, -8, -4, 12]]?

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-10, 6, 8, 8],
 [0, -12, -6, -16],
 [-3, 3, 3, 4],
 [-15, 3, 9, 4]]

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


[User]
Determine the rank of the following matrix:
[[-29, 19, -7, -21],
 [7, -4, -2, 1],
 [2, 6, -22, -14],
 [17, -10, 4, 15]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[24, -8, 17, -16],
 [-4, 0, -3, 0],
 [9, -6, 6, -12],
 [-1, 6, 0, 12]]

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


[User]
Calculate the rank of matrix A where A =
[[-9, 7, -10, -7],
 [-20, -14, -16, -14],
 [1, 14, -2, 0],
 [7, -16, 10, 6]]

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-6, 6, 6, -3],
 [-1, 2, 9, -5],
 [3, -6, -3, 9],
 [6, -4, 22, -9]]?

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


[User]
Determine the rank of the following matrix:
[[-20, 2, 6, 8],
 [12, -4, 0, -4],
 [3, 6, -9, -3],
 [-2, 3, -3, 0]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-7, 6, 15, -10],
 [1, -14, -9, 7],
 [6, 7, 0, 0],
 [-1, -22, -15, 11]]

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


[User]
What is the rank of the matrix:
[[3, 15, -15, -9],
 [8, 4, 2, 6],
 [-4, -8, 6, 2],
 [-15, -3, -9, -15]]?

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


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

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


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

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


[User]
What is the rank of the matrix:
[[11, 17, -5, 16],
 [-13, -21, 4, -12],
 [2, 9, 13, 9],
 [-12, -7, 33, 7]]?

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-2, 3, -1, 4],
 [-4, 6, -2, 8],
 [-14, -21, 21, -22],
 [1, 0, -17, 21]]

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


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

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


[User]
Find the rank of the matrix:
[[3, -1, -15, -3],
 [1, -2, -9, -2],
 [-14, -22, 6, -2],
 [16, 28, 0, 4]]

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


[User]
Calculate the rank of matrix A where A =
[[-2, 20, -14, 2],
 [-8, -5, 4, -7],
 [-5, -1, 1, -4],
 [-15, -3, 3, -12]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[13, 10, 2, 13],
 [-9, -8, -2, -10],
 [8, -10, -8, -7],
 [-20, -24, -8, -28]]

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


[User]
What is the rank of the matrix:
[[-4, -10, 4, -4],
 [-6, -10, -9, -1],
 [-2, -7, 8, -4],
 [-2, -4, -1, -1]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[-13, -4, -14, -5],
 [-6, -28, -13, -18],
 [9, 12, 12, 9],
 [-6, 12, -3, 6]]

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


[User]
Find the rank of the matrix:
[[-7, -13, 14, 5],
 [-2, -13, 4, 7],
 [5, 12, -22, -10],
 [-2, 15, -14, -17]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[2, 9, -2, -6],
 [-11, -6, 5, 10],
 [2, 9, 0, -8],
 [-4, 9, 1, -3]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[5, 15, 9, 19],
 [-6, 10, -21, 15],
 [-2, -14, 2, -18],
 [2, 7, 17, 11]]

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


[User]
Determine the rank of the following matrix:
[[1, 3, 1, 12],
 [-23, 18, 14, 6],
 [-9, -10, -11, 5],
 [-13, 2, -1, 11]]

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


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

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


[User]
Determine the rank of the following matrix:
[[2, -1, -1, 14],
 [0, 1, 1, -6],
 [8, 4, 4, 8],
 [-10, -3, -3, -22]]

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


[User]
Find the rank of the matrix:
[[4, 0, -16, 12],
 [19, 18, 12, 6],
 [-25, -27, -16, -9],
 [7, 8, -28, 24]]

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


[User]
What is the rank of the matrix:
[[5, -4, 8, -7],
 [0, -16, -8, 12],
 [-4, 8, -4, 2],
 [-4, 4, -6, 5]]?

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


[User]
Determine the rank of the following matrix:
[[-14, 6, 11, 17],
 [8, -4, -6, -10],
 [10, -6, -7, -13],
 [-8, -4, 10, 6]]

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


[User]
Determine the rank of the following matrix:
[[-1, 8, 24, 2],
 [-16, 8, 12, 20],
 [-17, -5, -13, 1],
 [21, 0, 3, -9]]

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


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

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


[User]
Find the rank of the matrix:
[[-3, -9, -2, 13],
 [-8, 8, 1, 2],
 [11, -7, -2, -5],
 [-6, 10, -2, 2]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[15, -4, 8, -5],
 [-19, 6, -11, 6],
 [9, -8, 10, -1],
 [-8, -10, 7, 7]]

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


[User]
What is the rank of the matrix:
[[-16, 0, -8, 4],
 [16, -15, 8, -4],
 [8, 6, 4, -2],
 [0, 0, 0, 0]]?

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


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

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


[User]
What is the rank of the matrix:
[[2, 14, 7, -9],
 [1, 10, 6, -7],
 [9, -22, -6, 2],
 [-5, 16, 5, -3]]?

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


[User]
What is the rank of the matrix:
[[5, -19, -19, -23],
 [-10, -5, 4, -2],
 [-16, -7, 6, 0],
 [1, -4, -5, -3]]?

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


[User]
What is the rank of the matrix:
[[8, 0, 12, 0],
 [-6, 0, 3, -9],
 [14, 0, 5, 12],
 [18, 0, 7, 15]]?

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[0, 12, -12, 12],
 [-8, -13, 13, 3],
 [-4, -14, 14, -6],
 [-2, -10, 10, -6]]

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


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

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


[User]
Find the rank of the matrix:
[[6, -6, 12, -2],
 [13, -5, 2, 5],
 [-19, -3, 14, -8],
 [-24, -6, 21, -10]]

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


[User]
Determine the rank of the following matrix:
[[9, -21, -9, -3],
 [5, 19, 17, 11],
 [9, -15, -3, 3],
 [15, -7, 0, -4]]

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


[User]
Find the rank of the matrix:
[[14, 0, 14, -2],
 [-22, 0, -22, -2],
 [-36, 12, -24, 12],
 [17, 8, 25, 3]]

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[16, -15, 0, 11],
 [-12, -3, 19, 6],
 [-12, 18, -9, -15],
 [8, 0, -10, -2]]

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


[User]
Determine the rank of the following matrix:
[[5, -14, 1, 17],
 [-2, 6, 0, -7],
 [2, -10, -4, 9],
 [6, -18, 0, 21]]

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


[User]
Calculate the rank of matrix A where A =
[[0, 1, -3, -2],
 [6, -9, 9, 2],
 [9, -10, 3, -4],
 [-12, 10, 6, 12]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[16, -8, 16, -8],
 [-7, 18, -11, 21],
 [0, -6, 2, -8],
 [-26, -18, -19, -21]]

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


[User]
Determine the rank of the following matrix:
[[-7, -1, 11, 4],
 [8, 4, -8, -4],
 [17, 21, -9, -20],
 [9, 21, 3, -18]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[2, 0, 0, -6],
 [19, -7, -11, -5],
 [23, -16, 2, 1],
 [6, 0, -10, 0]]

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


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

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


[User]
Determine the rank of the following matrix:
[[9, 16, 1, -2],
 [0, 0, 0, 0],
 [-12, -16, -12, 8],
 [9, 14, 5, -4]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-4, 1, 25, 29],
 [6, 17, 16, 1],
 [5, 9, 7, 13],
 [-5, -10, -1, 10]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[12, -18, -8, -2],
 [-10, 2, -14, -4],
 [-6, 16, 10, 12],
 [-8, 16, 4, 15]]

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


[User]
Determine the rank of the following matrix:
[[-14, -5, -15, -9],
 [0, 0, 0, 0],
 [-20, 7, -24, 0],
 [-6, 1, -7, -1]]

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[20, 8, 3, -11],
 [20, 17, -3, -14],
 [12, 12, -3, -9],
 [8, -1, 4, -3]]

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


[User]
Find the rank of the matrix:
[[-2, -5, -11, 0],
 [20, 23, -26, 18],
 [-16, 12, 8, -8],
 [-12, 28, -2, -2]]

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


[User]
Calculate the rank of matrix A where A =
[[-4, -4, 2, -2],
 [-14, -12, -2, -10],
 [2, -20, -1, -2],
 [2, 16, -9, 0]]

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


[User]
What is the rank of the matrix:
[[-6, 9, -2, 8],
 [5, -6, 1, -5],
 [-14, 15, -2, 12],
 [-19, 21, -3, 17]]?

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


[User]
Find the rank of the matrix:
[[2, -11, -6, -4],
 [10, 1, -6, 0],
 [13, -5, -18, -12],
 [-13, 5, 18, 12]]

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


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

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


[User]
Find the rank of the matrix:
[[-6, -8, 7, -14],
 [-2, -2, 12, -5],
 [6, 8, -14, 15],
 [-4, -2, 18, -6]]

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


[User]
Determine the rank of the following matrix:
[[-8, -4, -8, -6],
 [-10, -4, -4, -11],
 [9, 5, 12, 5],
 [10, 6, 16, 4]]

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


[User]
Calculate the rank of matrix A where A =
[[0, -8, -6, -5],
 [0, -4, 2, -1],
 [0, 0, -10, -3],
 [0, -14, 12, -2]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-3, 1, -3, -3],
 [5, 2, 3, 3],
 [-22, -32, 6, 22],
 [11, 13, -3, -15]]

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


[User]
Find the rank of the matrix:
[[0, -9, 12, 12],
 [2, -12, 15, 15],
 [-6, 6, -5, -5],
 [-1, 9, 2, 2]]

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


[User]
Find the rank of the matrix:
[[-7, 5, -4, -20],
 [-9, 5, -8, -10],
 [-2, 2, 0, -12],
 [-4, 0, -8, 20]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-4, 10, -10, -6],
 [-16, -12, 18, 11],
 [-4, -12, 0, -4],
 [-4, 17, -17, -10]]

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


[User]
Calculate the rank of matrix A where A =
[[6, -22, -22, -20],
 [-3, -5, -5, 1],
 [12, -2, -2, -1],
 [6, -22, -22, -20]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-8, 5, 9, -8],
 [0, -10, 6, 4],
 [0, -12, 6, 3],
 [-13, 6, 18, -9]]

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


[User]
Calculate the rank of matrix A where A =
[[2, 7, -2, 2],
 [-20, -5, 0, 14],
 [4, 8, 12, -14],
 [-6, 11, 14, -8]]

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


[User]
What is the rank of the matrix:
[[6, 6, -8, 6],
 [-15, -11, 16, -9],
 [-9, -1, 4, 3],
 [18, 12, -18, 9]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[-16, 16, 4, -8],
 [24, -24, -9, -2],
 [-20, 20, 10, 8],
 [8, -8, -1, 2]]

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


[User]
Determine the rank of the following matrix:
[[0, -4, -2, -14],
 [-2, 0, 1, -3],
 [-10, 6, 8, 6],
 [12, -4, -8, 4]]

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


[User]
Find the rank of the matrix:
[[4, -8, 12, 8],
 [6, 0, -1, 0],
 [11, -9, -3, 14],
 [21, -8, 3, 10]]

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


[User]
Find the rank of the matrix:
[[-6, -15, -2, 6],
 [1, -11, 7, -1],
 [11, 19, 5, -11],
 [-14, -11, -18, 14]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-4, 0, 8, -6],
 [-16, 8, 16, -12],
 [11, 0, -12, 14],
 [13, -16, -12, 0]]

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


[User]
Determine the rank of the following matrix:
[[5, -4, -13, 9],
 [-13, -19, 9, 12],
 [-1, -17, -15, 18],
 [-12, -4, 28, 0]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[0, -9, -24, 19],
 [10, -2, -22, 12],
 [-5, 1, 11, -6],
 [8, 11, 16, -17]]

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


[User]
What is the rank of the matrix:
[[17, 14, -18, 6],
 [-16, -8, 16, -16],
 [26, 14, -24, 12],
 [15, 8, -14, 8]]?

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[0, 3, -1, -3],
 [0, -6, 2, 2],
 [-16, 21, -15, 3],
 [8, -12, 8, -6]]?

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-12, -12, 4, -12],
 [14, 9, 8, 18],
 [-16, -24, 12, 4],
 [0, 3, -2, -8]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[0, 0, 0, 0],
 [3, 3, 9, 9],
 [0, 0, 0, 0],
 [0, 0, 0, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[-25, 20, 0, 25],
 [10, 0, 0, -10],
 [-18, 14, 0, 18],
 [15, -10, 0, -15]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-12, 8, 22, 30],
 [-8, -4, -4, 6],
 [4, -8, -4, -9],
 [-4, -4, 8, 9]]

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


[User]
Calculate the rank of matrix A where A =
[[-17, 18, 25, 12],
 [1, 12, 13, -12],
 [-10, 12, 14, -6],
 [23, -18, -23, -2]]

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


[User]
Find the rank of the matrix:
[[0, -2, -16, -1],
 [13, 4, 20, 11],
 [-7, -12, 12, -21],
 [9, 4, -4, 11]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[18, -20, -5, 14],
 [20, -22, -12, 10],
 [-20, 18, 11, -6],
 [32, -29, -4, 21]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-5, -3, -16, 0],
 [3, 18, 14, 5],
 [-6, -12, -20, -2],
 [-6, 7, -2, 9]]

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


[User]
Calculate the rank of matrix A where A =
[[5, 11, -8, 15],
 [19, 22, -8, 19],
 [-5, 16, 8, 19],
 [8, -13, -24, -8]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-8, -24, 10, -12],
 [9, 8, -13, 4],
 [4, -4, 3, -2],
 [-5, 8, 15, 4]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-1, -5, -2, -6],
 [-4, 7, -8, -6],
 [-3, 15, -6, 2],
 [2, -8, 4, 0]]

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


[User]
Find the rank of the matrix:
[[8, 2, 16, -8],
 [-12, 17, -16, 10],
 [16, 4, 20, -8],
 [20, -7, 22, -10]]

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


[User]
Find the rank of the matrix:
[[3, 15, 18, 6],
 [-3, 0, -3, -6],
 [0, 5, 19, 10],
 [0, 4, 11, 5]]

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


[User]
Find the rank of the matrix:
[[-21, -6, 6, -9],
 [-4, -18, -20, -10],
 [-12, 8, 22, -8],
 [2, 15, 16, 11]]

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


[User]
Find the rank of the matrix:
[[12, 1, 9, 16],
 [-9, -12, -18, -12],
 [6, 2, 6, 8],
 [-9, 3, -3, -12]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-5, -11, -25, 13],
 [3, 5, 11, -5],
 [-3, -1, -1, -2],
 [-3, 3, 9, -9]]?

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[7, -1, -16, -9],
 [16, -11, 8, 7],
 [0, -8, 20, 12],
 [19, -12, 12, 10]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-8, 2, 6, 4],
 [10, -7, 0, 4],
 [-6, 3, 2, 0],
 [-22, 13, 4, -4]]

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


[User]
What is the rank of the matrix:
[[12, 10, -13, -3],
 [-9, -12, 12, 9],
 [9, 18, -15, -18],
 [6, 14, -11, -15]]?

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


[User]
What is the rank of the matrix:
[[-1, -2, 9, 2],
 [-2, -2, -3, -10],
 [-2, 3, -10, -17],
 [-4, -16, 3, -8]]?

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[1, -4, 1, -1],
 [6, -18, 3, -5],
 [10, -22, 1, -7],
 [-8, 20, -2, 6]]

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


[User]
Calculate the rank of matrix A where A =
[[-4, 0, -2, 0],
 [4, -2, -2, 2],
 [4, -5, -8, 5],
 [12, 0, 0, 0]]

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


[User]
Determine the rank of the following matrix:
[[6, -19, 14, -11],
 [2, -14, 15, -14],
 [0, 24, 4, -4],
 [-12, 8, -14, 8]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[2, -2, -16, 9],
 [14, -10, 0, -11],
 [4, -4, -4, -3],
 [-3, 6, 8, 6]]?

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


[User]
What is the rank of the matrix:
[[-6, -18, -4, -8],
 [-12, 12, 28, 32],
 [0, 16, 12, 16],
 [-12, -12, 10, 8]]?

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


[User]
Calculate the rank of matrix A where A =
[[-3, -9, 0, 12],
 [2, 6, 0, -8],
 [2, 6, 0, -8],
 [-4, -12, 0, 16]]

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


[User]
What is the rank of the matrix:
[[10, 3, -20, 1],
 [-12, -5, -4, -11],
 [1, 1, 12, 5],
 [-1, -1, -12, -5]]?

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


[User]
Find the rank of the matrix:
[[-3, 9, -24, -12],
 [17, 1, 8, -12],
 [0, 5, -20, -11],
 [-1, 4, 28, 11]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[16, 0, -4, -24],
 [3, -15, -7, 3],
 [8, 0, -2, -12],
 [2, -6, -3, 0]]

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


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

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


[User]
Determine the rank of the following matrix:
[[15, -9, 2, 7],
 [-12, 21, 13, 2],
 [40, 7, 15, 26],
 [15, 19, 14, 15]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-11, 5, 12, -3],
 [-2, -13, -4, -14],
 [-19, -3, -8, 4],
 [4, 10, 28, -11]]

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


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

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[8, 10, -14, -6],
 [-18, 12, -3, -6],
 [22, 2, -13, 6],
 [0, 18, -18, -6]]

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


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

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


[User]
Find the rank of the matrix:
[[-17, 8, 26, -20],
 [-9, 9, -2, -2],
 [9, -12, -2, 14],
 [13, -1, -14, -4]]

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


[User]
What is the rank of the matrix:
[[6, 8, -6, 2],
 [-21, -1, -1, 5],
 [11, -29, 23, -11],
 [-25, 2, -3, 5]]?

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-16, -6, -8, -14],
 [18, 6, 16, 6],
 [-11, 0, 4, 8],
 [15, 1, 0, -9]]

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


[User]
Calculate the rank of matrix A where A =
[[9, 12, 6, -9],
 [-15, -18, -10, 17],
 [9, 12, 6, -9],
 [21, 25, 14, -24]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[25, 8, -7, 22],
 [-7, -4, -12, 12],
 [2, 0, 8, -8],
 [31, 12, 1, 14]]

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


[User]
Find the rank of the matrix:
[[1, 0, -1, 9],
 [-13, 9, 13, 0],
 [-5, 4, 5, 7],
 [-2, 0, 2, -18]]

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


[User]
Calculate the rank of matrix A where A =
[[-5, 5, -12, -14],
 [-12, -19, 25, 17],
 [13, 16, -17, -9],
 [-2, 6, -5, -6]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-2, 4, -3, -2],
 [-2, -15, -3, 5],
 [-2, -8, 7, -6],
 [0, -3, -7, 7]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[12, -3, 6, -3],
 [-19, -3, -13, 11],
 [-2, -8, 3, 3],
 [-17, 2, -13, 8]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-20, 4, -14, 8],
 [-4, 10, -3, 4],
 [-4, -18, 9, -4],
 [-20, -3, -11, 6]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[8, 20, -14, -14],
 [2, 12, -6, -6],
 [17, 16, 9, 9],
 [4, 8, -2, -2]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[3, 0, 1, 4],
 [-21, 11, 4, -6],
 [9, -5, -2, 2],
 [-6, 0, -2, -8]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-8, 6, 18, 12],
 [-8, 12, 12, 24],
 [4, 2, -14, 4],
 [4, -2, -10, -4]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[0, 6, -5, 3],
 [0, 6, 1, 3],
 [0, 14, -1, 7],
 [0, 2, -7, 1]]

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


[User]
Determine the rank of the following matrix:
[[-9, -2, 13, -3],
 [9, -1, -16, -6],
 [9, 7, -8, 18],
 [-9, -3, 12, -6]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[12, -5, -10, 0],
 [6, 8, 16, 14],
 [-6, -5, -10, -10],
 [18, -3, -6, 6]]

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


[User]
Find the rank of the matrix:
[[0, 2, -4, -12],
 [0, 4, -20, 24],
 [0, -3, 9, 6],
 [0, 0, -4, 16]]

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


[User]
Determine the rank of the following matrix:
[[3, 3, -1, 4],
 [18, 15, -9, 12],
 [0, 4, 4, 16],
 [-3, -3, 1, -4]]

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


[User]
Determine the rank of the following matrix:
[[-2, 6, -2, 11],
 [0, 22, -2, 16],
 [-8, -8, 14, -12],
 [4, 5, -2, -2]]

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


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

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


[User]
What is the rank of the matrix:
[[12, 8, -12, -16],
 [-1, -4, 2, -3],
 [10, 20, -14, 4],
 [-1, 6, -1, 10]]?

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[3, -12, -13, -29],
 [6, -10, -6, 4],
 [3, 12, 5, 19],
 [-5, 6, 8, 9]]

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


[User]
Find the rank of the matrix:
[[-1, -11, -28, -15],
 [-2, -4, 0, -4],
 [7, 7, 16, 10],
 [11, -11, -12, -11]]

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


[User]
What is the rank of the matrix:
[[2, 10, 24, 10],
 [-1, 5, 8, 15],
 [1, 1, 4, -3],
 [2, 4, 12, -2]]?

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


[User]
Calculate the rank of matrix A where A =
[[12, -7, 4, 3],
 [-3, 6, -1, 12],
 [0, 2, 0, 6],
 [9, -9, 3, -9]]

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


[User]
Determine the rank of the following matrix:
[[1, 13, 12, 8],
 [4, 7, -12, 2],
 [-1, 11, 20, 8],
 [0, -3, -4, -2]]

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


[User]
Find the rank of the matrix:
[[5, 3, -4, 8],
 [12, -4, 16, 0],
 [15, 2, 4, 12],
 [-8, 12, -32, 16]]

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


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

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


[User]
Find the rank of the matrix:
[[0, -21, -15, 3],
 [0, -4, -14, -14],
 [0, -2, 6, 10],
 [0, -12, -16, -8]]

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


[User]
What is the rank of the matrix:
[[-21, 0, -18, 0],
 [-16, 9, -18, 3],
 [12, -12, 16, -4],
 [-18, -3, -14, -1]]?

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


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

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


[User]
Find the rank of the matrix:
[[-4, -4, 2, -15],
 [-5, 9, 6, -17],
 [-7, 10, 5, -23],
 [1, 28, 9, 6]]

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


[User]
Calculate the rank of matrix A where A =
[[-16, -19, 11, 4],
 [0, -2, 9, -4],
 [-4, -12, 11, 6],
 [-20, -15, 10, -6]]

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


[User]
What is the rank of the matrix:
[[16, 6, -8, 16],
 [-8, 4, 4, 6],
 [-8, -2, 4, -6],
 [12, 8, -6, 19]]?

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


[User]
Calculate the rank of matrix A where A =
[[15, -4, -11, 15],
 [0, -28, 0, -4],
 [13, 0, -31, 17],
 [-7, 6, 21, -9]]

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


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

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


[User]
Find the rank of the matrix:
[[-4, 20, 4, -4],
 [2, 16, 2, -8],
 [1, 8, 1, -4],
 [12, 5, -2, -13]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-8, 13, -18, 1],
 [4, 14, -23, -7],
 [8, 23, -21, -17],
 [8, 3, -11, -5]]

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


[User]
Find the rank of the matrix:
[[-6, 0, -4, 3],
 [-16, 7, -6, 15],
 [-6, 0, -4, 3],
 [-12, 3, -6, 9]]

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


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

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


[User]
What is the rank of the matrix:
[[-1, 13, 19, 5],
 [8, 4, 28, 8],
 [-1, 4, 4, 1],
 [5, 7, 25, 7]]?

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-4, -1, 3, 25],
 [-14, 3, 4, 16],
 [8, -4, 0, 16],
 [-22, 7, 4, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[21, -16, -23, 25],
 [12, -7, 4, 0],
 [-8, 0, 9, -14],
 [19, -14, -10, 13]]

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


[User]
Find the rank of the matrix:
[[-2, -1, -1, -3],
 [-9, -12, 18, -11],
 [-6, -3, -3, -9],
 [-7, -11, 19, -8]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[12, 20, 32, 20],
 [-13, -3, -8, -7],
 [8, -10, -12, -5],
 [18, 2, 8, 8]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-1, 8, 5, 7],
 [4, -12, 0, -5],
 [0, 10, -2, 4],
 [10, -15, 1, -4]]

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


[User]
Determine the rank of the following matrix:
[[-6, 6, -4, 3],
 [-8, 8, -12, -11],
 [24, -24, 28, 15],
 [-7, 7, -8, -4]]

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


[User]
Find the rank of the matrix:
[[-15, -12, -18, -6],
 [-3, 1, -8, 11],
 [2, -4, 4, -8],
 [-10, -6, -4, -18]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[24, -6, -13, -1],
 [22, -6, -11, 4],
 [10, 4, -10, -2],
 [-24, 0, 16, -8]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[8, 8, -4, 8],
 [-24, -16, 0, 6],
 [2, 30, -19, -22],
 [-5, -6, 2, 2]]

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


[User]
Find the rank of the matrix:
[[2, -22, 22, -2],
 [-6, -11, 11, 2],
 [-9, 4, -5, 5],
 [-4, 8, -10, 4]]

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


[User]
Calculate the rank of matrix A where A =
[[-16, -4, -24, -8],
 [7, -7, -12, -4],
 [-16, -24, 6, 22],
 [2, 3, 23, 11]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[3, 4, 3, 11],
 [-4, 8, -7, 6],
 [-19, 16, -27, -3],
 [-6, 16, -9, 20]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[1, 4, -5, -2],
 [-19, -1, 10, 18],
 [-16, -4, 12, 16],
 [17, -7, 0, -14]]

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


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

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


[User]
What is the rank of the matrix:
[[-4, -10, -9, -3],
 [-4, 1, 1, 14],
 [4, 14, 11, 1],
 [3, -3, 0, 0]]?

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


[User]
What is the rank of the matrix:
[[0, -4, -4, 0],
 [4, -8, -6, 1],
 [16, -18, -10, 4],
 [-8, 8, 4, -2]]?

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


[User]
Determine the rank of the following matrix:
[[-8, -5, -7, 2],
 [-19, 3, 11, 9],
 [10, -6, -14, -6],
 [9, 3, 3, -3]]

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


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

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


[User]
Find the rank of the matrix:
[[-8, 8, -2, -12],
 [8, -1, -5, -2],
 [12, -8, -1, 10],
 [16, -8, -4, 8]]

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


[User]
Find the rank of the matrix:
[[-4, 2, 13, -6],
 [10, 3, 10, -13],
 [-26, -3, 2, 17],
 [6, -3, -17, 9]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-11, -6, -14, -9],
 [10, -4, 4, 6],
 [-19, 5, -10, -12],
 [-2, -7, -8, -3]]

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


[User]
Determine the rank of the following matrix:
[[25, 8, -17, -15],
 [-6, 10, -15, 14],
 [-9, -2, 8, 1],
 [10, -2, 5, -16]]

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


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

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


[User]
What is the rank of the matrix:
[[7, -8, 6, 7],
 [0, 24, 18, 2],
 [13, -32, -4, 7],
 [-1, -4, -1, 6]]?

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


[User]
What is the rank of the matrix:
[[0, -14, 12, -9],
 [-12, 10, 0, 1],
 [-4, 18, -12, 6],
 [-1, 5, -3, -1]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[-8, 12, -5, 10],
 [4, 4, -5, 5],
 [0, 12, -9, 12],
 [0, 12, -9, 12]]

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


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

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


[User]
What is the rank of the matrix:
[[-15, 12, -10, -10],
 [-9, 0, -8, -8],
 [-13, -8, -16, -16],
 [22, 7, 24, 24]]?

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


[User]
What is the rank of the matrix:
[[6, 0, -6, 20],
 [-15, 9, -8, -14],
 [0, -1, -3, 6],
 [21, -2, 3, 28]]?

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


[User]
Calculate the rank of matrix A where A =
[[-10, -20, 4, -8],
 [0, 0, 0, 0],
 [1, 4, 0, 1],
 [-1, -4, 0, -1]]

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


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

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


[User]
Determine the rank of the following matrix:
[[10, -2, 3, 8],
 [4, -24, -10, 16],
 [-4, 22, 3, -12],
 [6, 3, 9, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[3, 0, 9, 0],
 [2, 6, -12, 12],
 [-11, -14, 9, -28],
 [4, 2, 6, 4]]

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


[User]
Determine the rank of the following matrix:
[[20, 3, 22, -1],
 [0, -17, 2, 19],
 [-16, 4, -16, -4],
 [-13, -19, -7, 25]]

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


[User]
What is the rank of the matrix:
[[26, -7, -7, -2],
 [-4, 5, 14, -20],
 [12, 13, 2, -15],
 [0, 16, 8, -18]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[-12, 20, -4, 20],
 [-11, -9, 9, -1],
 [-14, -18, 8, -11],
 [2, 12, -2, 11]]

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


[User]
What is the rank of the matrix:
[[-2, -18, -12, 18],
 [1, -5, -8, 18],
 [-5, 1, 16, -6],
 [3, 25, 16, -18]]?

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


[User]
Calculate the rank of matrix A where A =
[[2, 10, 19, -12],
 [7, 7, -10, 25],
 [9, 0, -13, 18],
 [-7, -1, -4, 5]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-9, 10, 7, 0],
 [-1, 16, 1, -10],
 [-4, -14, -14, 2],
 [2, -17, -13, 3]]

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


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

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


[User]
What is the rank of the matrix:
[[-7, 0, -8, -16],
 [-2, 15, -28, 4],
 [9, -1, 12, 20],
 [-9, 1, -12, -20]]?

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-7, -6, 9, -7],
 [-8, -6, 8, 2],
 [0, 0, -1, 7],
 [0, -3, 2, 7]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[0, 5, -3, -3],
 [18, -1, -21, 15],
 [7, 1, -9, 5],
 [8, -6, -6, 10]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-17, 10, -5, -6],
 [6, 10, 9, -1],
 [-19, -2, -19, 8],
 [-17, 6, -11, 2]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[0, -16, 16, 6],
 [44, 0, 5, -4],
 [-28, 12, -8, 16],
 [12, 8, -9, -10]]

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


[User]
Determine the rank of the following matrix:
[[8, -6, -2, -16],
 [4, 9, -5, 12],
 [20, 12, -14, 5],
 [-28, -9, 17, 6]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[4, -20, -20, -10],
 [-21, 21, 19, -3],
 [-4, 4, 4, -1],
 [2, -12, -15, -3]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[6, 0, -4, 10],
 [6, 20, -18, 16],
 [-9, -2, -7, -18],
 [-12, 12, 32, -11]]

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


[User]
Find the rank of the matrix:
[[8, -8, -20, 8],
 [-3, 3, -15, -8],
 [-16, 16, 4, -24],
 [-7, 7, -5, -12]]

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


[User]
Calculate the rank of matrix A where A =
[[-3, 9, 6, 9],
 [11, 9, 8, -23],
 [-4, 10, 3, 2],
 [10, 16, 20, 0]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[8, -5, -7, -5],
 [14, -11, -9, -11],
 [0, 0, -6, 2],
 [22, -25, -18, -20]]

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


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

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[12, -3, 0, -6],
 [-4, 1, 0, 2],
 [-12, 3, 0, 6],
 [16, -4, 0, -8]]

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


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

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


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

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


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

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