[User]
Compute the rank of the given 4x4 matrix:
[[-11, 11, 20, 5],
 [-2, -14, -8, 14],
 [0, 0, 0, 0],
 [-4, -6, 0, 10]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[2, -4, -6, -8],
 [6, 0, 6, 0],
 [8, 10, 8, 10],
 [7, 11, 9, 12]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[10, -5, -6, 8],
 [-12, 16, 8, -12],
 [15, 5, -8, 9],
 [3, -4, -2, 3]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[0, 8, -2, 0],
 [16, 8, 4, 8],
 [-12, 6, -11, 14],
 [10, 7, 2, 5]]

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


[User]
Find the rank of the matrix:
[[4, 1, -8, -11],
 [4, 1, 20, 10],
 [8, 2, -8, -16],
 [0, 0, 0, 0]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[21, 3, 0, -6],
 [-2, -11, 3, -8],
 [3, 4, -1, 2],
 [-4, 28, -8, 24]]

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


[User]
Find the rank of the matrix:
[[-3, -18, -14, -3],
 [2, 11, 9, 3],
 [-4, -22, -18, -6],
 [4, 7, 13, 21]]

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


[User]
Determine the rank of the following matrix:
[[4, -3, -2, -1],
 [12, -9, -6, 2],
 [-4, 3, 2, -4],
 [-16, 12, 8, -11]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-13, -9, 3, -15],
 [-13, 1, -9, 6],
 [-7, -11, 9, -21],
 [-19, -7, -3, -9]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[8, -8, 0, -20],
 [4, -4, -8, 8],
 [-7, 7, 2, 13],
 [0, 0, 0, 0]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-6, 9, -24, -15],
 [8, 4, 16, 4],
 [-4, -14, 4, 10],
 [-4, -10, 0, 6]]?

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[6, 14, -4, -4],
 [20, -12, -17, -6],
 [-6, 18, 6, 0],
 [16, -12, -12, -4]]?

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


[User]
Determine the rank of the following matrix:
[[5, 2, -3, 6],
 [2, -4, 6, 0],
 [-5, 6, -9, -2],
 [11, -2, 3, 10]]

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


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

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


[User]
Determine the rank of the following matrix:
[[7, -9, 15, 14],
 [3, -18, 22, 24],
 [10, 26, -22, -28],
 [-11, -9, 3, 5]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[7, 7, 1, 1],
 [18, 6, 8, 12],
 [2, 10, -12, -24],
 [-14, -14, -2, -2]]

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


[User]
Find the rank of the matrix:
[[-8, 5, -6, 14],
 [-2, 11, -13, 17],
 [15, 6, 8, -6],
 [18, 4, -10, -10]]

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


[User]
Determine the rank of the following matrix:
[[4, -4, 6, 0],
 [0, -17, -13, 0],
 [-16, -28, -10, 0],
 [10, 3, -28, 0]]

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


[User]
What is the rank of the matrix:
[[1, -19, 1, 7],
 [-3, -1, 5, -1],
 [7, 15, -13, -3],
 [4, 12, -4, -12]]?

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


[User]
Determine the rank of the following matrix:
[[-7, -14, -22, -20],
 [27, 1, 7, -7],
 [0, 6, 10, 10],
 [-2, -6, -12, -10]]

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


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

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


[User]
Find the rank of the matrix:
[[19, 10, -15, 2],
 [2, 2, -3, -5],
 [-13, -8, 12, 5],
 [-14, -8, 12, 2]]

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


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

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


[User]
Determine the rank of the following matrix:
[[11, 5, 2, 2],
 [0, -17, -10, -17],
 [8, -15, -14, -9],
 [-8, 14, 20, -4]]

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


[User]
What is the rank of the matrix:
[[-8, 2, -8, 8],
 [-12, 7, -8, 16],
 [0, 0, 0, 0],
 [8, 0, 10, -6]]?

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


[User]
Calculate the rank of matrix A where A =
[[-18, 0, -6, 2],
 [-11, -8, 8, 4],
 [9, 0, 6, -2],
 [14, 2, -14, 3]]

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


[User]
Determine the rank of the following matrix:
[[6, -6, 0, 20],
 [-21, 12, 6, -8],
 [4, 18, 20, -14],
 [-15, 10, 6, -6]]

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


[User]
Determine the rank of the following matrix:
[[9, -3, -6, 3],
 [-15, 12, 4, 2],
 [21, -32, 9, -19],
 [18, -13, 5, -8]]

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


[User]
What is the rank of the matrix:
[[5, -15, -2, -8],
 [-4, -4, 9, -2],
 [12, 3, -9, 6],
 [3, -18, -16, -16]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[-17, -13, -17, -2],
 [10, -2, 4, -8],
 [-8, -4, -7, 1],
 [12, 4, -2, -6]]

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


[User]
Calculate the rank of matrix A where A =
[[6, -14, 1, -21],
 [-12, 1, 6, 4],
 [-6, -17, -2, -18],
 [-8, -19, 1, -21]]

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[11, -6, -18, -10],
 [-4, -8, -10, -18],
 [3, 2, 1, 5],
 [-6, -4, -2, -10]]

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


[User]
Find the rank of the matrix:
[[-3, -1, 10, 4],
 [1, 12, -1, 1],
 [-6, -1, 17, 5],
 [1, 11, 2, 4]]

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


[User]
What is the rank of the matrix:
[[24, 0, 3, 9],
 [-4, -10, -8, 6],
 [-24, -4, -6, -6],
 [28, -2, 2, 12]]?

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


[User]
What is the rank of the matrix:
[[-12, -16, 8, 0],
 [16, 12, -12, 16],
 [20, 8, -16, 32],
 [-15, -13, 11, -12]]?

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


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

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[1, 28, 0, 13],
 [3, 4, -10, 9],
 [3, -20, -13, 0],
 [0, 8, 1, 3]]?

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


[User]
Calculate the rank of matrix A where A =
[[21, 4, 3, 19],
 [18, 6, 6, 18],
 [17, -26, -1, 3],
 [1, -12, -5, -5]]

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


[User]
Find the rank of the matrix:
[[14, 13, -9, 4],
 [-4, -3, 2, 0],
 [-12, -19, 14, -16],
 [2, 4, -3, 4]]

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


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

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


[User]
What is the rank of the matrix:
[[-7, 9, -32, 2],
 [-3, -3, 12, -6],
 [-5, 11, -20, 2],
 [-8, 8, 12, -8]]?

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


[User]
Find the rank of the matrix:
[[-8, -4, -7, 1],
 [-2, -4, 21, -11],
 [15, 15, -19, 15],
 [-24, -18, -14, -2]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[4, -1, -4, 2],
 [0, 20, 8, 16],
 [-16, -12, -12, 8],
 [8, 15, 15, -4]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[6, -13, -14, 3],
 [-6, 16, -4, 20],
 [11, -8, -24, -2],
 [-15, 24, 24, 10]]

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


[User]
Find the rank of the matrix:
[[-16, 1, 14, -9],
 [0, 0, 0, 0],
 [2, -2, -3, -2],
 [0, 0, 0, 0]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-4, -24, -24, 0],
 [-5, 2, 1, -3],
 [14, 20, 22, 6],
 [9, 21, 17, 9]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[9, 1, -1, -10],
 [16, 4, -4, 0],
 [5, 1, -1, -2],
 [-12, -2, 2, 8]]

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


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

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


[User]
Determine the rank of the following matrix:
[[1, 6, 24, -7],
 [-5, -19, 3, 13],
 [-3, -10, -18, 5],
 [-2, -2, 13, -6]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[5, -3, 17, 12],
 [9, -7, 14, -8],
 [-10, -16, -3, -4],
 [-10, 4, -25, -12]]

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


[User]
Determine the rank of the following matrix:
[[9, -14, 1, -20],
 [-10, 12, 6, 8],
 [-15, 22, 1, 28],
 [4, -4, -4, 0]]

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


[User]
Determine the rank of the following matrix:
[[11, 10, 7, -13],
 [2, 2, 1, -4],
 [-1, 0, -2, -7],
 [-18, -14, -15, 0]]

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


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

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


[User]
Determine the rank of the following matrix:
[[0, -8, 20, 8],
 [-8, -2, 12, 8],
 [8, -4, 3, -2],
 [-8, 10, -18, -4]]

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


[User]
Calculate the rank of matrix A where A =
[[4, 8, 10, -18],
 [-10, -5, -3, 23],
 [12, 6, 2, -26],
 [12, 2, 2, -26]]

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


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

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


[User]
Find the rank of the matrix:
[[4, 3, -5, -2],
 [-2, 3, 4, -2],
 [0, 12, 4, -8],
 [14, 9, -18, -6]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-1, -6, -8, 9],
 [-11, -8, -17, 3],
 [4, -10, -11, 12],
 [-9, 2, -2, -3]]

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


[User]
What is the rank of the matrix:
[[-22, -10, 4, -2],
 [-24, -15, 8, -9],
 [-1, 2, -2, 4],
 [3, 3, -2, 3]]?

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


[User]
Determine the rank of the following matrix:
[[-12, 6, -12, 9],
 [-2, 3, 1, 0],
 [-14, 5, -17, 12],
 [-10, 3, -13, 9]]

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


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

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


[User]
Determine the rank of the following matrix:
[[2, -3, -2, 2],
 [-6, 1, -2, 2],
 [2, 13, 14, -14],
 [-2, -1, -2, 2]]

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


[User]
Determine the rank of the following matrix:
[[6, 0, -12, -12],
 [16, -8, -12, 12],
 [-16, 6, 17, -1],
 [-4, 0, 8, 8]]

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


[User]
What is the rank of the matrix:
[[9, -2, -1, 11],
 [0, 4, -7, 14],
 [-11, 6, -5, -1],
 [-2, 0, 1, -4]]?

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


[User]
What is the rank of the matrix:
[[14, -16, 0, -11],
 [24, 4, 20, 4],
 [0, 0, 0, 0],
 [-24, -4, -20, -4]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[23, 1, 4, 22],
 [2, 2, 24, -10],
 [-8, 0, 16, -12],
 [-1, 1, -20, -2]]

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


[User]
Determine the rank of the following matrix:
[[-11, 7, 10, -13],
 [7, -9, -5, 11],
 [-2, -6, 4, 2],
 [11, -7, -10, 13]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[7, -4, 8, 1],
 [-3, 16, -16, 1],
 [-6, 10, -16, -2],
 [-9, 9, -12, 0]]

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


[User]
Determine the rank of the following matrix:
[[2, 12, 16, -2],
 [-14, -4, -12, -6],
 [-7, -10, -16, -1],
 [-6, 4, 2, -4]]

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


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

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


[User]
What is the rank of the matrix:
[[-9, 9, -6, 3],
 [-9, 11, -10, 8],
 [15, -7, -6, 15],
 [6, -2, -4, 8]]?

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


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

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


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

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


[User]
What is the rank of the matrix:
[[12, -13, -6, 5],
 [-16, 8, 15, -9],
 [-8, 18, -3, -1],
 [12, -17, -3, 4]]?

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


[User]
Find the rank of the matrix:
[[10, 5, 10, 8],
 [-1, 5, 6, 5],
 [-7, -6, -21, -7],
 [5, 12, 26, 13]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[11, -16, -9, -7],
 [6, -17, -12, 8],
 [5, -13, -9, 5],
 [4, -9, -6, 2]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[0, -4, -4, 14],
 [-18, -6, 18, 3],
 [15, 6, -14, -6],
 [-12, -4, 12, 2]]

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


[User]
What is the rank of the matrix:
[[-16, 17, 3, -20],
 [5, 4, -22, -2],
 [-6, 1, 28, 0],
 [10, -9, -22, 8]]?

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


[User]
Find the rank of the matrix:
[[-1, -15, -13, 8],
 [-9, 8, 0, -6],
 [-3, -1, -3, 0],
 [8, -1, 5, 2]]

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


[User]
Determine the rank of the following matrix:
[[22, -6, 12, 2],
 [-19, -8, -29, 1],
 [12, -21, -15, 8],
 [-9, -10, -19, 5]]

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


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

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


[User]
Determine the rank of the following matrix:
[[29, 22, -19, -2],
 [-16, -15, -5, 3],
 [-7, -4, 12, 2],
 [-23, -17, 18, 5]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-2, -4, 10, 3],
 [2, 4, -7, -2],
 [8, 16, 11, 5],
 [2, 4, 8, 3]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[16, -10, -15, -1],
 [12, 6, -9, -3],
 [16, -10, -15, -1],
 [-16, -8, 12, 4]]

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


[User]
Find the rank of the matrix:
[[0, 0, 0, 0],
 [-4, -12, -12, -12],
 [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:
[[-5, 7, 0, 2],
 [-1, 8, -3, -2],
 [-3, -2, 1, 4],
 [-14, 2, -22, 21]]

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


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

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[20, 8, -20, 3],
 [22, 4, -26, -7],
 [7, -8, -16, -14],
 [25, 4, -30, -11]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-3, 12, -9, 0],
 [6, -4, 8, -20],
 [-4, 12, -10, 4],
 [7, -8, 11, -20]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[6, -12, -9, -13],
 [-10, -4, 7, -6],
 [-4, -10, 0, -11],
 [-8, -8, 4, -9]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[8, 12, 15, 3],
 [9, -15, -7, -21],
 [4, -19, -16, -15],
 [8, 12, 15, 3]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-12, 0, -9, 3],
 [0, 0, 4, -4],
 [4, 0, 9, -7],
 [-24, 0, -14, 2]]

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


[User]
Find the rank of the matrix:
[[4, 8, 12, 0],
 [5, 1, 5, 1],
 [-5, -1, -5, -1],
 [-6, 6, 2, -2]]

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


[User]
Find the rank of the matrix:
[[-16, 4, 8, 2],
 [-34, -15, -6, -19],
 [-14, -13, -2, -11],
 [2, -3, -6, -4]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[1, -12, -6, -17],
 [17, 0, -18, -1],
 [6, 13, -1, 18],
 [7, 1, -7, 1]]

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


[User]
Calculate the rank of matrix A where A =
[[11, -8, -2, -22],
 [-3, 11, -5, 13],
 [10, 5, -13, 1],
 [14, -1, -15, 1]]

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


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

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


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

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-16, 8, 8, -20],
 [6, -6, -9, 12],
 [-12, 4, 2, -12],
 [24, -8, -4, 24]]

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


[User]
Find the rank of the matrix:
[[6, -3, -4, -3],
 [-32, 20, 28, 24],
 [10, -1, -6, -15],
 [-16, 10, 15, 15]]

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


[User]
Determine the rank of the following matrix:
[[-10, -2, -2, -14],
 [1, -7, -6, -8],
 [4, 0, -10, 6],
 [20, -8, 10, 10]]

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


[User]
Find the rank of the matrix:
[[-9, -6, -12, 0],
 [-3, -2, -4, 0],
 [13, 5, 10, -1],
 [-4, 12, 24, 4]]

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


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

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


[User]
What is the rank of the matrix:
[[-22, -8, 2, 0],
 [2, 4, -4, 0],
 [-20, -4, -2, 0],
 [11, 4, -1, 0]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[2, 8, 20, -10],
 [-3, 6, 2, -13],
 [9, 27, 5, -8],
 [5, 2, -6, 11]]

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


[User]
Determine the rank of the following matrix:
[[23, 20, 17, 16],
 [-5, -4, -16, 12],
 [-20, -17, -14, -16],
 [6, 4, -2, 16]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-3, -2, 4, 0],
 [9, -1, 5, 12],
 [-9, -6, 12, 0],
 [-20, -4, 4, -16]]

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


[User]
Calculate the rank of matrix A where A =
[[-7, -1, -15, 1],
 [-4, -2, -3, -4],
 [14, -8, 15, -7],
 [-6, -8, -11, -9]]

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


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

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


[User]
Find the rank of the matrix:
[[8, -4, -16, 7],
 [8, -32, 12, 0],
 [-8, 28, -8, -1],
 [-6, -4, 19, -7]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-15, -6, 16, 4],
 [24, 18, -9, 10],
 [14, 15, 0, 13],
 [-5, 3, 6, 7]]

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


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

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


[User]
What is the rank of the matrix:
[[-12, 24, 4, 8],
 [0, -9, -27, 21],
 [-5, 16, 23, -14],
 [-6, 0, 16, -18]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[8, -11, 10, -1],
 [-12, 16, -8, 6],
 [6, -1, 18, 10],
 [-2, 7, -6, 0]]

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


[User]
Find the rank of the matrix:
[[-5, 0, -4, -24],
 [-3, 1, -3, -17],
 [9, 7, 3, 25],
 [-7, -11, 1, -5]]

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


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

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


[User]
Find the rank of the matrix:
[[-10, 9, 14, -9],
 [2, -12, -13, -5],
 [4, -6, -8, 2],
 [12, -6, -12, 14]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-12, 2, -4, -18],
 [-19, 10, -6, 4],
 [3, -2, 22, -12],
 [-8, 6, -20, 18]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[8, -6, 16, 9],
 [4, -8, 18, 7],
 [6, -5, 13, 7],
 [0, 0, 0, 0]]

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


[User]
What is the rank of the matrix:
[[-2, -11, -12, 7],
 [-8, 5, 8, -7],
 [1, 9, 10, -6],
 [6, -2, -4, 4]]?

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


[User]
Determine the rank of the following matrix:
[[-6, 4, -2, 10],
 [6, -2, 4, 0],
 [-6, -7, 11, 13],
 [18, -12, 18, -1]]

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


[User]
What is the rank of the matrix:
[[2, 11, -9, 7],
 [12, -14, 6, 2],
 [-2, -11, 9, -7],
 [24, 4, -12, 20]]?

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-1, -4, 9, 12],
 [-24, 5, 1, -18],
 [-25, -3, 26, 10],
 [-5, -2, 0, 2]]

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


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

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


[User]
Find the rank of the matrix:
[[4, -2, -8, 2],
 [-12, 27, 0, -3],
 [-12, 7, 0, 1],
 [-2, -6, -8, 4]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[1, -1, 5, -5],
 [15, 7, -13, 2],
 [3, 1, -1, -1],
 [21, 9, -15, 0]]?

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


[User]
Calculate the rank of matrix A where A =
[[0, 0, 21, -12],
 [-4, 6, 13, -6],
 [0, 0, 14, -8],
 [-4, 6, -22, 14]]

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


[User]
Calculate the rank of matrix A where A =
[[-8, -4, 2, 2],
 [10, 2, -9, -5],
 [4, 6, -15, -3],
 [6, -4, -28, -10]]

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


[User]
Find the rank of the matrix:
[[-5, -10, 9, 0],
 [14, 4, 2, 12],
 [-4, 4, -4, 2],
 [19, 2, 3, 6]]

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


[User]
What is the rank of the matrix:
[[-21, -10, -24, 23],
 [-8, -6, -9, 9],
 [-2, -16, 0, 1],
 [-11, 2, -18, 22]]?

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


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

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


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

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[24, -7, -16, 3],
 [36, -13, 3, 8],
 [6, 17, -16, -9],
 [3, -13, 21, 8]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-17, 2, -4, 0],
 [1, 6, 14, -13],
 [3, -6, -12, 12],
 [-10, 4, 4, -6]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[0, -15, -20, 9],
 [18, -12, 8, 18],
 [0, 0, 0, 0],
 [7, -13, -8, 12]]

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


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

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


[User]
What is the rank of the matrix:
[[6, 0, 7, 2],
 [2, -4, 3, 2],
 [12, -12, 16, 8],
 [-4, 2, -5, -2]]?

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


[User]
What is the rank of the matrix:
[[14, -16, -16, -1],
 [4, 10, 0, -7],
 [-18, 4, 16, 13],
 [13, -6, -13, -11]]?

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


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

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


[User]
What is the rank of the matrix:
[[-32, 16, 4, 8],
 [-9, -9, -12, -6],
 [11, 7, 8, 16],
 [2, -10, -9, -6]]?

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


[User]
Calculate the rank of matrix A where A =
[[-14, 5, 18, 14],
 [2, -18, 2, 5],
 [18, 5, -6, -7],
 [-24, -20, 8, 12]]

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


[User]
Determine the rank of the following matrix:
[[4, 14, 16, 12],
 [-13, 0, 4, -4],
 [-18, 2, 8, -4],
 [4, -12, -16, -8]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[15, -14, -11, 22],
 [-1, -6, 0, 4],
 [-6, -4, 5, 2],
 [5, 0, -3, 4]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[24, 4, -22, -1],
 [0, -2, -7, -19],
 [24, 12, -16, 20],
 [-8, -8, 8, -3]]

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


[User]
Determine the rank of the following matrix:
[[-24, -24, -31, -12],
 [18, 31, 20, 9],
 [-24, -36, -28, -12],
 [-8, -16, 3, -20]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-20, 21, 11, 2],
 [-16, 9, 5, -8],
 [-12, 9, 7, 14],
 [-10, 12, 6, 1]]

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


[User]
Find the rank of the matrix:
[[1, 14, 4, 1],
 [-15, 6, 12, 9],
 [-20, 8, 16, 12],
 [4, 2, -2, -2]]

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


[User]
Find the rank of the matrix:
[[28, 5, 4, 5],
 [-12, 3, 12, -9],
 [16, 5, 8, 0],
 [-16, 1, 8, -8]]

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


[User]
What is the rank of the matrix:
[[17, 10, -9, 25],
 [7, 9, 1, 10],
 [-11, 6, 17, -16],
 [1, -7, -7, 1]]?

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-10, -6, 10, -2],
 [-9, -1, 11, -7],
 [-6, 3, 9, -9],
 [3, -7, -7, 11]]

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[8, -4, 20, -8],
 [-20, -2, -14, 14],
 [0, 8, -24, 4],
 [28, 6, 10, -18]]

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


[User]
Find the rank of the matrix:
[[1, 13, -1, -16],
 [-6, -6, 6, 8],
 [-9, 9, 9, -10],
 [9, -9, -9, 10]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-22, 14, -4, 18],
 [5, -5, -6, -7],
 [13, -6, 11, -7],
 [4, 2, 18, 4]]

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


[User]
What is the rank of the matrix:
[[0, 8, -8, 16],
 [-1, -4, 0, -5],
 [1, 4, 0, 5],
 [7, 16, 12, 11]]?

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


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

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


[User]
Find the rank of the matrix:
[[-8, -11, -13, 4],
 [0, 9, 7, 4],
 [11, 5, 10, -10],
 [-2, 4, 2, 4]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[0, -14, 9, -2],
 [-7, -14, 12, -5],
 [-17, -12, 15, -9],
 [-14, -14, 15, -8]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[2, -3, -18, -2],
 [-7, -22, 0, 6],
 [0, 16, 18, -2],
 [-19, -6, 0, -2]]?

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


[User]
What is the rank of the matrix:
[[20, 4, 4, -24],
 [3, 7, -3, 6],
 [27, -1, -13, -2],
 [-32, 0, 23, -12]]?

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


[User]
Calculate the rank of matrix A where A =
[[-6, -4, 6, 2],
 [-5, -14, -15, -1],
 [11, 10, -6, -3],
 [2, -4, -12, -2]]

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-24, 12, 24, 12],
 [3, 9, -10, 2],
 [0, 9, -6, 3],
 [9, -6, -8, -5]]?

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-4, 9, -14, -3],
 [-12, 0, -6, 9],
 [4, 6, -6, -7],
 [-8, 6, -12, 2]]

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


[User]
Calculate the rank of matrix A where A =
[[-13, -20, -12, -4],
 [-23, -4, 2, 8],
 [17, 26, 18, 10],
 [-9, 4, 10, 16]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[10, -18, 6, -14],
 [28, -12, 0, 4],
 [19, -15, 3, -5],
 [13, -1, -2, 7]]

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


[User]
Find the rank of the matrix:
[[9, 2, 0, -7],
 [-7, 0, -8, 3],
 [6, -16, -8, 14],
 [-4, 12, -8, -12]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[0, -9, -21, 15],
 [-2, 5, 10, -6],
 [12, -6, -4, -4],
 [-2, 5, 10, -6]]?

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-10, -13, 1, -4],
 [10, 13, -1, 4],
 [6, 15, -3, 4],
 [-12, -21, 3, -6]]

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


[User]
What is the rank of the matrix:
[[-6, 4, 10, -5],
 [15, -17, 8, -15],
 [-14, 13, -2, 8],
 [1, -4, -20, 10]]?

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


[User]
Find the rank of the matrix:
[[-18, -14, -10, -8],
 [4, 4, -7, 4],
 [-10, -12, -18, -15],
 [0, -4, -11, -10]]

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


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

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


[User]
Find the rank of the matrix:
[[-8, 17, -13, -13],
 [-4, 10, -2, -2],
 [-6, 10, -18, -18],
 [6, -15, 3, 3]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[1, -11, -10, -9],
 [-6, 11, -7, 18],
 [16, 4, 12, -12],
 [10, 10, 18, -3]]

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


[User]
What is the rank of the matrix:
[[8, 6, -2, 1],
 [-12, 37, -13, -7],
 [-10, 30, -8, -5],
 [9, -12, 3, 3]]?

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


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

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


[User]
Find the rank of the matrix:
[[2, -12, 0, 2],
 [31, 10, 21, -25],
 [0, 4, -5, -8],
 [-16, -13, -11, 16]]

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-20, 10, 18, 3],
 [-4, 2, 5, -5],
 [-12, 6, 8, 13],
 [-12, 6, 10, 5]]

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


[User]
Determine the rank of the following matrix:
[[-8, -7, 9, -7],
 [0, -1, 1, -3],
 [-4, -4, 5, -5],
 [8, 8, -10, 10]]

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


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

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


[User]
What is the rank of the matrix:
[[-6, -32, -24, 0],
 [-6, -12, -20, 3],
 [8, -20, 12, -15],
 [-14, 8, -16, 30]]?

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[9, -12, -3, -9],
 [-8, 22, 6, 4],
 [-17, 0, -1, 25],
 [10, -19, -5, -8]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[12, -2, 12, -10],
 [-9, 1, -11, 7],
 [3, -2, -3, -4],
 [-12, 6, 4, 14]]

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


[User]
Find the rank of the matrix:
[[0, 12, 5, 5],
 [-1, -1, 3, -17],
 [-5, -3, 5, 9],
 [-9, -4, 12, -4]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-24, -3, -15, 6],
 [-26, 2, -13, 1],
 [-6, 1, -5, 2],
 [-8, -1, -1, -2]]

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


[User]
Calculate the rank of matrix A where A =
[[5, 2, -3, -4],
 [4, -12, 8, 16],
 [-8, 4, -6, 28],
 [9, -6, 3, 0]]

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[9, 18, -10, 5],
 [15, -12, 23, 28],
 [12, 12, 7, 2],
 [7, 2, 4, 9]]

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[0, -8, 4, -9],
 [5, 13, -2, -2],
 [11, 0, 1, -21],
 [-1, 22, -5, 16]]

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


[User]
Determine the rank of the following matrix:
[[-16, -7, 14, 10],
 [-16, -14, 18, 14],
 [0, 9, -10, -18],
 [-8, -3, 14, 24]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-1, -5, -1, 6],
 [-15, -27, -5, 20],
 [-1, 4, 5, 0],
 [7, 7, 3, 2]]

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


[User]
Calculate the rank of matrix A where A =
[[8, 4, -7, 14],
 [16, -4, 1, 10],
 [12, -12, 12, -6],
 [4, -12, 14, -14]]

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


[User]
What is the rank of the matrix:
[[-32, 4, -28, 20],
 [0, 7, 1, -3],
 [-12, -16, -13, 15],
 [-4, 25, 0, -8]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[-10, -7, 7, -3],
 [-1, 9, 4, -15],
 [17, -2, -29, -6],
 [4, 1, -3, 5]]

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


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

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


[User]
What is the rank of the matrix:
[[-11, 19, 10, -15],
 [-2, 5, 0, 1],
 [-1, -23, -19, 8],
 [-1, 7, 12, -13]]?

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


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

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


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

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


[User]
Find the rank of the matrix:
[[3, -16, -3, 4],
 [-6, 32, 15, 8],
 [-10, 6, 18, -7],
 [1, 0, 0, 4]]

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[7, 4, 2, -12],
 [1, 2, 2, 8],
 [1, 3, 0, 2],
 [12, 10, 6, -4]]

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


[User]
What is the rank of the matrix:
[[0, 6, 0, -9],
 [-6, 4, -8, -16],
 [3, 2, 4, 2],
 [6, 2, 8, 7]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-18, -8, 1, -1],
 [0, 0, 0, 0],
 [2, 18, 6, -6],
 [5, 17, 5, -5]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[10, 2, 10, -8],
 [-17, 0, -18, 14],
 [-2, -14, 2, 0],
 [-8, -22, -2, 4]]

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


[User]
Calculate the rank of matrix A where A =
[[2, -12, -6, -2],
 [-4, 7, 0, 2],
 [6, 9, 14, 0],
 [4, 5, 10, 4]]

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


[User]
Calculate the rank of matrix A where A =
[[4, 18, 8, 8],
 [6, 12, 3, 9],
 [22, 4, -13, 25],
 [-8, -16, -4, -12]]

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


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

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


[User]
Find the rank of the matrix:
[[1, 0, -4, 0],
 [-4, 0, 16, 0],
 [1, 0, -4, 0],
 [1, 0, -4, 0]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[6, -8, -6, 8],
 [-1, 4, -11, -4],
 [-1, -4, 25, 4],
 [13, -20, -1, 20]]

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


[User]
What is the rank of the matrix:
[[20, -28, -17, -14],
 [15, -13, -7, -24],
 [2, -14, -6, 0],
 [-14, 10, 5, 26]]?

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


[User]
What is the rank of the matrix:
[[-6, 0, 6, 4],
 [0, -6, -2, 8],
 [6, -6, -8, 4],
 [15, -6, -17, -2]]?

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-7, -8, 20, -10],
 [7, 6, -19, 7],
 [-3, 3, 5, 5],
 [5, 0, -11, -1]]

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


[User]
Find the rank of the matrix:
[[-8, -16, 12, -12],
 [-18, 0, -16, 8],
 [6, 10, 16, -18],
 [13, 16, 13, -13]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[8, 12, 0, -8],
 [-3, 8, 5, 8],
 [6, 14, 2, -4],
 [-4, 4, 4, 8]]

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


[User]
Find the rank of the matrix:
[[14, 13, -4, 20],
 [0, 3, 12, -4],
 [10, 8, -8, 16],
 [-2, -1, 4, -4]]

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


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

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[9, 6, -5, -14],
 [3, -2, -7, -6],
 [-12, -4, 12, 20],
 [0, -12, -16, -4]]?

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


[User]
Determine the rank of the following matrix:
[[-22, 12, -8, 2],
 [4, 3, -10, -10],
 [4, -3, 4, 3],
 [-20, 6, 0, 2]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-15, 0, -9, 15],
 [11, 6, 5, -9],
 [-7, 3, -5, 8],
 [-5, 0, -3, 5]]?

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[6, 11, -9, -2],
 [-8, -28, 24, 0],
 [-12, -2, 0, 8],
 [-14, -9, 6, 8]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[-11, 16, 20, 5],
 [-6, 6, 12, 0],
 [-7, 5, 13, -2],
 [-6, 27, 9, 21]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[6, -20, -14, -8],
 [0, 6, 4, 1],
 [-15, -4, -1, 11],
 [0, 24, 16, 4]]

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


[User]
What is the rank of the matrix:
[[-6, 12, 18, -28],
 [-2, -3, -1, 0],
 [0, -6, -6, 8],
 [-8, 6, 14, -24]]?

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-8, 0, 8, -16],
 [-2, -8, -14, -16],
 [4, 0, -4, 8],
 [2, 6, 10, 13]]

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


[User]
Calculate the rank of matrix A where A =
[[-1, -5, -9, 2],
 [-11, 18, 13, -7],
 [4, -7, -12, 7],
 [7, -6, -1, 3]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-7, -6, 4, 0],
 [-2, 12, 2, 0],
 [-1, 6, 1, 0],
 [-3, -14, 1, 0]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-2, -7, 3, 7],
 [8, 6, -13, -10],
 [-15, 5, 13, -4],
 [19, -6, -29, -5]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-11, 1, 27, 18],
 [4, -12, 8, 28],
 [-13, 1, 5, -9],
 [2, 8, 6, -1]]

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


[User]
Find the rank of the matrix:
[[-1, -10, -16, 8],
 [-3, -16, -20, 1],
 [5, 12, 4, -2],
 [5, 24, 28, -5]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-10, 12, 14, 10],
 [-6, -3, -2, 1],
 [-2, -9, -5, -3],
 [17, -3, -29, -12]]

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


[User]
Calculate the rank of matrix A where A =
[[0, 5, 0, 5],
 [-3, -11, 3, -17],
 [-4, -16, 8, -28],
 [2, -2, 6, -6]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-4, -1, 3, -2],
 [24, 6, -2, 12],
 [-20, -5, 11, -10],
 [12, 3, -9, 6]]?

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


[User]
Find the rank of the matrix:
[[-1, -10, 5, -6],
 [3, -12, 3, 0],
 [2, 13, -7, 9],
 [-1, 11, -4, 3]]

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


[User]
Determine the rank of the following matrix:
[[0, 0, 0, 0],
 [-8, 16, -12, -8],
 [-8, 17, -14, -6],
 [6, -10, 5, 10]]

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


[User]
What is the rank of the matrix:
[[16, -16, -8, 4],
 [-4, 16, 5, 8],
 [20, -16, -9, 8],
 [-20, 16, 9, -8]]?

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


[User]
Determine the rank of the following matrix:
[[-4, -19, 3, 16],
 [-12, 9, -9, 0],
 [2, -18, 6, 12],
 [0, 0, 0, 0]]

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


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

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


[User]
What is the rank of the matrix:
[[9, -2, -3, -1],
 [-19, -18, -3, 24],
 [36, 8, -4, -22],
 [-18, -12, 2, 13]]?

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


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

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


[User]
Find the rank of the matrix:
[[-2, 4, -6, -18],
 [-2, 2, -4, -15],
 [2, 4, -2, 6],
 [-1, 4, -5, -12]]

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


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

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


[User]
Find the rank of the matrix:
[[-17, -10, -7, 2],
 [-3, 5, 5, -4],
 [12, 20, 28, -16],
 [-10, 1, 0, -2]]

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


[User]
Find the rank of the matrix:
[[1, -3, 4, 0],
 [-4, 12, -16, 0],
 [3, -9, 12, 0],
 [2, -6, 8, 0]]

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


[User]
Find the rank of the matrix:
[[6, -3, -5, -2],
 [-4, -6, 2, -8],
 [-20, 6, 16, 2],
 [20, -6, -16, -2]]

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


[User]
Determine the rank of the following matrix:
[[-13, -2, 14, 11],
 [-18, 7, 22, 7],
 [6, 10, -7, 6],
 [7, -26, -11, -7]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-13, 6, -12, -12],
 [17, 0, 12, 12],
 [13, -6, 12, 12],
 [-16, 10, -16, -16]]

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


[User]
Calculate the rank of matrix A where A =
[[-5, -15, 0, -9],
 [11, 6, 8, 6],
 [-5, -15, 0, -9],
 [-3, 13, -7, 6]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-3, -2, 3, -1],
 [-6, -1, 6, 1],
 [-7, 3, 17, 2],
 [-5, -6, -5, -1]]

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


[User]
Calculate the rank of matrix A where A =
[[10, 10, 9, -3],
 [-10, -8, 0, 6],
 [-19, 6, 3, -3],
 [12, 0, -4, -2]]

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


[User]
Determine the rank of the following matrix:
[[8, 8, 9, -13],
 [2, 15, 5, -9],
 [4, 14, 12, -12],
 [4, -11, 2, 0]]

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


[User]
What is the rank of the matrix:
[[-3, 2, 0, 0],
 [15, 4, -7, 0],
 [0, 6, -3, 0],
 [6, -4, 0, 0]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[9, -16, -4, 7],
 [21, 7, 12, -11],
 [5, -26, -3, 14],
 [1, -22, 11, 12]]

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


[User]
What is the rank of the matrix:
[[-3, 2, 15, -5],
 [0, -3, -9, -6],
 [-4, 0, 12, -12],
 [2, 1, -3, 8]]?

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


[User]
Determine the rank of the following matrix:
[[22, 7, 18, 11],
 [11, 11, 18, 1],
 [-9, -19, -18, 3],
 [-12, -22, -20, 2]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[12, -13, -20, 8],
 [-10, -5, 4, 25],
 [14, -11, -20, 1],
 [16, -9, -20, -6]]

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


[User]
Calculate the rank of matrix A where A =
[[-12, 7, -1, -5],
 [-4, -26, -28, 4],
 [-26, 4, -1, 13],
 [-4, 3, 3, 3]]

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


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

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[1, 3, -5, -5],
 [13, -1, 25, 25],
 [-3, -1, -3, -3],
 [-6, -6, 3, 3]]

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


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

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


[User]
Determine the rank of the following matrix:
[[19, 8, 10, 12],
 [11, 2, 6, 6],
 [-7, -24, -2, -12],
 [-5, -10, -2, -6]]

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


[User]
Calculate the rank of matrix A where A =
[[-21, -25, 10, 21],
 [12, 1, -24, 10],
 [-9, -9, -6, 17],
 [-3, 8, 16, -15]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-16, 5, 3, 10],
 [20, -2, -7, -14],
 [-40, -6, 19, 22],
 [4, -2, 1, 2]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-4, 5, 2, -6],
 [0, -19, -2, 8],
 [4, 13, -3, 0],
 [-28, 28, -18, -22]]

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


[User]
Determine the rank of the following matrix:
[[-9, 1, 0, -16],
 [9, -5, 4, 11],
 [-22, -3, -15, 2],
 [-13, 2, -5, -12]]

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


[User]
Determine the rank of the following matrix:
[[12, 5, 12, 6],
 [28, -1, 4, -6],
 [-24, -5, -6, 3],
 [24, 0, 12, 2]]

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


[User]
Determine the rank of the following matrix:
[[-1, -12, -10, 34],
 [12, 32, 13, -13],
 [-1, -10, -9, 23],
 [9, 24, 12, 0]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-11, 4, 0, 2],
 [-23, 19, 9, -10],
 [11, 4, 6, -14],
 [10, -16, -12, 12]]

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


[User]
What is the rank of the matrix:
[[1, 8, 10, 15],
 [-2, 6, 2, 14],
 [3, 0, 6, -3],
 [3, -2, 4, -7]]?

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


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

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


[User]
Find the rank of the matrix:
[[-2, -6, 6, -8],
 [5, 1, -1, -12],
 [10, 9, -9, -8],
 [5, 8, -8, 4]]

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


[User]
Find the rank of the matrix:
[[1, -5, -2, -2],
 [-7, 17, 1, 3],
 [-24, 24, -8, -24],
 [-3, 3, -6, 2]]

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


[User]
Determine the rank of the following matrix:
[[-3, 0, -9, -9],
 [12, -18, 0, 0],
 [3, -12, -15, -15],
 [12, -24, -12, -12]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-5, 1, 2, -1],
 [5, -7, 1, 2],
 [-5, 7, -1, -2],
 [-21, 15, 3, -6]]

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


[User]
Find the rank of the matrix:
[[3, 12, -9, -6],
 [6, 15, -3, -9],
 [5, 11, 0, -7],
 [6, 12, 2, -8]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[20, -36, 20, -7],
 [7, -4, 12, 14],
 [-2, 16, -10, -6],
 [4, -4, 12, 17]]

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


[User]
What is the rank of the matrix:
[[12, -8, -2, -14],
 [-3, 11, 9, 6],
 [7, 15, 17, -8],
 [3, 17, 17, -4]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[14, -6, 12, 6],
 [-8, 4, 16, -10],
 [-13, 25, -4, -20],
 [11, -22, -17, 23]]

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-4, -3, 2, -3],
 [-12, -9, 6, -9],
 [-4, 10, 0, 18],
 [16, -1, -6, -9]]

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


[User]
Calculate the rank of matrix A where A =
[[-6, -14, -7, -1],
 [12, -18, 5, 13],
 [9, 20, 24, -1],
 [3, 4, -1, 2]]

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[18, 12, -6, -12],
 [-6, -2, -4, 6],
 [-15, -13, 14, 7],
 [18, 12, -6, -12]]

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


[User]
Determine the rank of the following matrix:
[[9, -3, -3, 9],
 [-9, -7, 13, -4],
 [9, 11, -17, 2],
 [-3, 3, -1, -4]]

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


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

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


[User]
What is the rank of the matrix:
[[16, -4, -6, 10],
 [-12, 13, 12, -10],
 [4, 17, 12, -2],
 [-16, 4, 6, -10]]?

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


[User]
What is the rank of the matrix:
[[2, -4, 10, -3],
 [1, -2, 6, -1],
 [4, -8, 8, -12],
 [0, 0, 8, 4]]?

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[10, 5, 2, 13],
 [-18, 8, 14, -24],
 [16, -4, 0, 12],
 [-13, 10, -8, 5]]

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


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

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


[User]
Find the rank of the matrix:
[[10, -6, 0, 14],
 [-1, -3, 0, -2],
 [7, -3, -12, 2],
 [-3, 9, -9, -9]]

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


[User]
What is the rank of the matrix:
[[3, -2, -20, -9],
 [6, 17, 9, 2],
 [-12, -6, 24, 16],
 [-12, -4, 29, 18]]?

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


[User]
What is the rank of the matrix:
[[-14, 18, 18, -9],
 [18, -10, -10, 11],
 [7, -6, 12, -6],
 [-2, -13, -21, 4]]?

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


[User]
Determine the rank of the following matrix:
[[1, -17, 18, 2],
 [-11, -4, 0, -15],
 [14, -5, 10, 19],
 [1, -16, 16, 1]]

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


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

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


[User]
What is the rank of the matrix:
[[2, -7, -6, 5],
 [-12, 6, -12, 6],
 [8, -16, -12, 8],
 [-32, 16, -12, 16]]?

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


[User]
Determine the rank of the following matrix:
[[-10, -1, 5, 4],
 [14, -2, -7, -6],
 [24, -9, -2, 2],
 [-24, 16, 6, 4]]

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


[User]
Calculate the rank of matrix A where A =
[[-3, -18, 14, -15],
 [11, 0, -18, 9],
 [9, 8, -14, 11],
 [2, 3, -3, 3]]

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[1, -5, -15, 15],
 [7, 17, 7, -15],
 [3, 4, 7, -9],
 [16, 30, 8, -24]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-1, -1, 7, 8],
 [28, 23, 14, 11],
 [16, 15, 20, 24],
 [5, 1, -11, -20]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-2, 6, -8, 4],
 [0, 4, -12, 2],
 [-1, 5, -10, 3],
 [11, -11, -6, 5]]

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


[User]
Determine the rank of the following matrix:
[[7, -1, 25, -17],
 [-5, -1, -11, 7],
 [-17, -13, 1, -5],
 [-8, -10, 16, -14]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[3, 6, -9, -9],
 [9, 0, -9, -18],
 [3, 6, -9, -9],
 [-4, 4, 0, 6]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[14, -8, -8, 1],
 [2, -2, -4, 1],
 [4, 5, 22, -7],
 [-4, 4, 8, -2]]

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


[User]
Calculate the rank of matrix A where A =
[[-17, -2, -16, 7],
 [8, 0, 8, -2],
 [19, 6, 16, -13],
 [6, 4, 4, -7]]

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


[User]
Calculate the rank of matrix A where A =
[[-13, 0, -13, -9],
 [8, -2, 8, 6],
 [-12, 16, -12, -12],
 [5, 2, 5, 3]]

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


[User]
Find the rank of the matrix:
[[-14, -12, -10, -8],
 [-1, 4, -3, -4],
 [-12, -7, -9, -9],
 [23, -2, 11, 26]]

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


[User]
What is the rank of the matrix:
[[-16, 0, 32, 12],
 [12, -2, -16, -9],
 [8, 1, -20, -6],
 [-4, -3, 20, 3]]?

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


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

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


[User]
Find the rank of the matrix:
[[-6, -7, 10, 12],
 [3, 5, -8, -15],
 [-6, -8, 12, 18],
 [-3, -6, 10, 21]]

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


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

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


[User]
Determine the rank of the following matrix:
[[12, -7, 0, 13],
 [-15, 5, 3, -17],
 [3, 7, -7, 5],
 [-3, -7, 7, -5]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[1, 3, 4, 16],
 [12, -4, 16, 32],
 [-14, 8, -16, -24],
 [12, -9, 12, 12]]

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


[User]
Find the rank of the matrix:
[[3, -4, 3, 6],
 [-5, -14, -7, 7],
 [-7, -4, 1, 8],
 [5, 12, 13, 2]]

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


[User]
Determine the rank of the following matrix:
[[-14, -1, -15, -8],
 [-4, -3, -9, -10],
 [13, 3, 9, 7],
 [1, 4, -12, -3]]

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


[User]
What is the rank of the matrix:
[[-14, -12, -12, -2],
 [-29, 6, -2, 5],
 [7, -32, -26, -17],
 [-11, -20, -14, 1]]?

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


[User]
Find the rank of the matrix:
[[-3, -8, -10, 2],
 [-3, -8, -10, 2],
 [15, 16, 14, -10],
 [0, -4, -6, 0]]

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


[User]
Find the rank of the matrix:
[[-10, -1, 2, 16],
 [16, 12, 15, -20],
 [-4, -9, 3, 0],
 [20, 15, 9, -24]]

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


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

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


[User]
What is the rank of the matrix:
[[-24, 6, 2, -16],
 [0, -1, -12, -2],
 [-10, -3, 13, -6],
 [4, 10, 20, 8]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[-1, -2, 0, -4],
 [5, -6, 0, -12],
 [2, 4, 0, 8],
 [2, 0, 0, 0]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[2, -6, 0, 10],
 [-6, 14, -6, -18],
 [-6, 8, -15, 0],
 [-8, 14, -15, -10]]

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


[User]
What is the rank of the matrix:
[[-14, 10, -16, 8],
 [-10, 20, -16, 24],
 [5, 24, -10, 32],
 [-8, 1, -10, -4]]?

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-1, 10, 25, 4],
 [-6, 14, 16, -16],
 [-4, -20, -2, -20],
 [4, 16, -12, 16]]

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


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

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


[User]
Find the rank of the matrix:
[[-10, -4, -11, 2],
 [2, -1, 10, 10],
 [17, 5, 19, 12],
 [10, 4, 11, -2]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[12, -15, 18, 1],
 [0, 3, -3, 4],
 [-12, 9, -12, -9],
 [-12, 3, -6, -17]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[3, 3, -4, -15],
 [4, 5, -5, -21],
 [2, 7, -1, -15],
 [-2, -7, 1, 15]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[12, -10, 0, 6],
 [6, -9, 12, -3],
 [-10, 7, 4, -7],
 [10, -13, 14, -2]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[16, -7, 11, 21],
 [14, -7, 1, -19],
 [8, -6, 4, -2],
 [11, 0, 1, 0]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[1, 5, -6, 16],
 [5, 1, 10, -16],
 [5, 4, -9, 16],
 [-4, 4, 12, -8]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-13, 8, -13, 4],
 [12, -9, 5, 6],
 [6, -1, -1, 10],
 [12, -5, 9, 2]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-8, 3, -12, 11],
 [-7, 2, -8, 9],
 [-23, 9, -24, 26],
 [26, -18, 28, -22]]

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


[User]
Find the rank of the matrix:
[[-11, 1, 13, -17],
 [14, 2, -12, 16],
 [15, 7, -5, 9],
 [-17, -11, 1, -5]]

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


[User]
Calculate the rank of matrix A where A =
[[18, 20, 22, 5],
 [-13, -10, -11, -9],
 [1, -12, -7, 3],
 [-15, -12, -15, -6]]

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


[User]
Calculate the rank of matrix A where A =
[[-17, -4, 10, 16],
 [10, 0, -6, -8],
 [0, 0, 0, 0],
 [-7, 16, 5, -4]]

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


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

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


[User]
Find the rank of the matrix:
[[-18, 0, -8, -3],
 [4, -1, 2, 1],
 [-4, 19, -6, -7],
 [12, 6, 4, 0]]

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


[User]
Find the rank of the matrix:
[[-5, -20, 0, -5],
 [14, -8, 0, -2],
 [-12, 4, 0, 1],
 [5, -20, 0, -5]]

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-12, 11, 2, -25],
 [0, -4, 8, 12],
 [0, 0, 0, 0],
 [-3, 5, -4, -13]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[0, -2, -8, 8],
 [4, -3, -11, 8],
 [4, -1, -18, 14],
 [18, -1, -22, 7]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-4, -8, -8, -16],
 [0, 2, -1, 7],
 [-5, -2, -14, 8],
 [-1, -8, 1, -25]]

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


[User]
Find the rank of the matrix:
[[12, 6, -2, -8],
 [21, 10, -3, -15],
 [6, 0, 2, -10],
 [-3, -3, 2, -1]]

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


[User]
What is the rank of the matrix:
[[-16, 2, 4, -15],
 [-16, 4, -8, -14],
 [-1, 25, 5, -5],
 [4, 16, 12, 0]]?

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


[User]
Calculate the rank of matrix A where A =
[[-5, -24, -6, 17],
 [0, -26, -4, 18],
 [7, 38, 7, -28],
 [13, 28, 2, -25]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[12, -21, 18, -12],
 [-6, 12, -9, 12],
 [-4, 6, -6, 0],
 [-2, 1, -3, -8]]

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


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

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


[User]
Find the rank of the matrix:
[[0, 28, -12, 32],
 [-12, -4, -12, -8],
 [8, 5, 7, 8],
 [-6, 5, -9, 4]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-2, -4, -4, -2],
 [4, 28, 18, -6],
 [15, 4, -3, 12],
 [3, 12, 9, 0]]

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


[User]
What is the rank of the matrix:
[[-4, 0, 28, 20],
 [10, -28, 7, 6],
 [2, 0, -14, -10],
 [5, -16, 9, 7]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[15, -13, -12, 2],
 [-13, 15, 4, 10],
 [-5, 2, 8, -8],
 [19, -16, -16, 4]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-11, 0, -13, 16],
 [-6, 0, 5, -12],
 [6, 0, 9, -12],
 [4, 0, 6, -8]]

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


[User]
Calculate the rank of matrix A where A =
[[-3, 1, -7, 10],
 [-10, 18, -10, 1],
 [-2, 10, 3, -9],
 [0, -12, -7, 3]]

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


[User]
Find the rank of the matrix:
[[12, 3, 4, -10],
 [0, -4, -16, 8],
 [6, 4, 12, -10],
 [-9, -2, -2, 7]]

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


[User]
What is the rank of the matrix:
[[28, -5, 2, -2],
 [-5, 5, 1, 1],
 [-5, -28, -18, -8],
 [16, -24, -7, -5]]?

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


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

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[16, 10, 10, 4],
 [-12, -10, 0, -8],
 [-4, -3, -1, -2],
 [-32, -20, -20, -8]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-4, -20, -2, -5],
 [4, -4, -4, -1],
 [16, 32, -4, 8],
 [-8, -16, 2, -4]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-3, 16, 19, 5],
 [18, 4, -14, 10],
 [3, 19, 16, 9],
 [18, 14, -4, 14]]?

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


[User]
Calculate the rank of matrix A where A =
[[5, 3, -3, 2],
 [3, 9, 0, 9],
 [25, -9, -21, -16],
 [-6, 6, 6, 8]]

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


[User]
What is the rank of the matrix:
[[12, -6, -12, -9],
 [-28, -10, 4, 9],
 [-4, 14, 16, 9],
 [16, -2, -10, -9]]?

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


[User]
Determine the rank of the following matrix:
[[-5, -8, 0, -13],
 [-10, 6, 12, 12],
 [-4, -4, 0, -2],
 [10, 4, -8, 10]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-4, 8, 19, 8],
 [-8, 8, -15, -4],
 [9, 9, -2, 17],
 [-2, 10, -6, 6]]

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


[User]
Calculate the rank of matrix A where A =
[[-21, 14, 8, -28],
 [15, -10, -10, 20],
 [6, -4, -3, 8],
 [-15, 10, 10, -20]]

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


[User]
Calculate the rank of matrix A where A =
[[-1, 4, 8, 9],
 [3, 0, -4, -5],
 [4, -4, -12, -14],
 [-13, -8, 4, 7]]

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


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

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-3, -1, 4, -3],
 [13, 7, -12, 7],
 [11, 9, -4, -1],
 [-14, -10, 8, -2]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[8, -4, -5, -2],
 [22, 16, -15, -15],
 [12, -11, -5, 2],
 [12, 9, -8, -8]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[19, -2, 0, -6],
 [0, -3, 2, -10],
 [-5, 0, 9, 4],
 [5, -2, 2, -6]]

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


[User]
Find the rank of the matrix:
[[14, 2, -12, -4],
 [4, 7, -12, -18],
 [-12, 6, 3, -10],
 [-13, 3, 6, -6]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[0, 12, 12, -12],
 [6, 20, 8, -18],
 [9, 20, 2, -17],
 [9, -4, -22, 7]]

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


[User]
What is the rank of the matrix:
[[-2, 0, 0, -14],
 [34, 8, -10, -4],
 [-19, -14, 8, -4],
 [9, -10, 1, 9]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[3, 9, 15, -15],
 [6, -3, 3, -9],
 [-3, -9, -15, 15],
 [2, 13, 19, -17]]

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


[User]
What is the rank of the matrix:
[[3, -12, 4, 2],
 [-1, 0, 16, 6],
 [-20, 11, -5, -5],
 [2, -9, 7, 3]]?

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


[User]
What is the rank of the matrix:
[[7, 3, -10, 3],
 [9, -15, -10, 4],
 [-4, 4, 4, -6],
 [-1, 19, 0, 7]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[12, -10, -7, 15],
 [-12, 6, 3, -12],
 [12, 6, 9, 3],
 [16, -4, 0, 13]]

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


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

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


[User]
Determine the rank of the following matrix:
[[8, 0, 2, 15],
 [-8, 0, -12, -10],
 [4, 0, 6, 5],
 [-8, 0, -14, -9]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-9, -1, 20, -16],
 [4, -4, 4, -10],
 [-11, 19, 12, -11],
 [-10, 18, 4, 0]]

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


[User]
Find the rank of the matrix:
[[0, -13, -3, -2],
 [2, 12, 6, -4],
 [1, 1, 4, 0],
 [-10, -4, -16, 30]]

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


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

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


[User]
What is the rank of the matrix:
[[23, -16, -25, -4],
 [0, -3, 3, -10],
 [20, -20, -23, -7],
 [-17, 21, 24, 0]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[-17, -19, 6, 24],
 [6, -8, 17, -7],
 [11, 7, 3, -15],
 [12, 14, -5, -17]]

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


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

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


[User]
Find the rank of the matrix:
[[18, 13, -6, 0],
 [20, 16, -4, 0],
 [2, 3, 2, 0],
 [-2, -3, -2, 0]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[6, -2, -5, -1],
 [8, -3, -9, -1],
 [14, -4, -7, -3],
 [-8, 1, -5, 3]]

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


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

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


[User]
Find the rank of the matrix:
[[-9, 16, -3, 8],
 [12, -8, 4, -4],
 [12, -20, 4, -10],
 [-12, 14, -4, 7]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-8, 20, 0, 0],
 [-14, 11, -4, -8],
 [4, 2, 2, 4],
 [8, 4, 4, 8]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-32, -24, -8, -8],
 [10, 3, -5, -1],
 [0, 8, 12, 5],
 [-12, -4, -12, -15]]

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


[User]
Determine the rank of the following matrix:
[[12, -6, 6, -9],
 [16, -10, -6, -7],
 [9, -4, 8, -8],
 [12, -6, 6, -9]]

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[1, -6, -2, 9],
 [9, -6, 15, 6],
 [4, 8, 18, -10],
 [8, -24, -10, 24]]

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


[User]
What is the rank of the matrix:
[[-13, 0, -5, 4],
 [4, 0, 10, -2],
 [-6, 0, 7, 1],
 [-3, 0, -2, 1]]?

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


[User]
Determine the rank of the following matrix:
[[-4, 13, -17, 16],
 [11, -6, 0, -10],
 [1, 9, -15, 10],
 [2, 11, -19, 12]]

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


[User]
Determine the rank of the following matrix:
[[12, 12, -8, -12],
 [-6, -18, 10, 20],
 [9, 9, -6, -9],
 [-9, -3, 3, 2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[12, 0, -8, -12],
 [4, 2, -4, -6],
 [2, 7, -6, -9],
 [4, 5, -6, -9]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-3, 12, 6, -12],
 [-1, 4, 2, -4],
 [0, 0, 0, 0],
 [-1, 4, 2, -4]]

Present the answer in LaTex format: \boxed{Your answer}