[User]
Compute the rank of the given 4x4 matrix:
[[-15, -20, 15, -28],
 [-13, -14, -1, -16],
 [23, 19, 1, 24],
 [19, 17, -7, 24]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[2, 16, 16, -7],
 [8, -4, 24, -16],
 [-4, -4, -32, 12],
 [5, 23, -12, -7]]

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


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

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


[User]
Find the rank of the matrix:
[[14, 1, -4, -4],
 [-2, -23, 4, 4],
 [15, -3, -3, -3],
 [8, 20, -16, -16]]

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


[User]
Determine the rank of the following matrix:
[[-12, -9, -11, -5],
 [-8, 4, -28, 3],
 [12, 18, -1, 14],
 [16, 7, 26, 4]]

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


[User]
Calculate the rank of matrix A where A =
[[-12, -9, 6, 3],
 [-14, -7, 11, 12],
 [-2, 4, 0, 4],
 [-11, -3, 3, 4]]

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


[User]
Calculate the rank of matrix A where A =
[[16, 20, -13, 7],
 [-2, 10, -12, -10],
 [6, -13, 16, 8],
 [-2, 0, 1, 11]]

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


[User]
Find the rank of the matrix:
[[-3, -2, -33, -12],
 [0, -13, -15, -15],
 [11, -1, -22, -14],
 [31, 9, -2, -9]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[6, -6, 0, 6],
 [8, -4, 12, 16],
 [-10, 11, 3, -8],
 [-8, 7, -3, -10]]

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


[User]
Calculate the rank of matrix A where A =
[[-8, -6, -22, -20],
 [0, 6, -10, -4],
 [4, 0, 16, 12],
 [4, 9, 1, 6]]

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


[User]
Find the rank of the matrix:
[[-12, -6, -1, 14],
 [8, 7, 2, -15],
 [4, 0, 1, -2],
 [20, -5, -12, 10]]

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


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

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


[User]
Find the rank of the matrix:
[[8, 6, 0, -26],
 [10, 1, -2, -25],
 [9, -11, -15, -6],
 [-5, 4, 0, 8]]

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


[User]
Calculate the rank of matrix A where A =
[[8, -16, -6, 16],
 [8, -23, 0, 17],
 [10, -3, -12, 9],
 [-6, 6, 13, -14]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[8, 0, 0, -13],
 [10, -11, -11, -19],
 [-4, 10, 10, 9],
 [-8, 4, 4, 14]]

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


[User]
Find the rank of the matrix:
[[17, 0, 7, 3],
 [7, -5, 21, -8],
 [-12, 3, -12, 3],
 [16, -2, 6, 0]]

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


[User]
Determine the rank of the following matrix:
[[18, 12, 0, 9],
 [-6, -4, 0, -3],
 [15, 10, 12, 15],
 [3, 2, 4, 4]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[12, -8, -8, -16],
 [15, -13, -16, -17],
 [15, -14, -18, -16],
 [-3, 2, 2, 4]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-17, 14, 10, -4],
 [12, -9, -6, 0],
 [20, -20, -16, 16],
 [6, -7, -6, 8]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[4, 0, 8, -6],
 [8, -2, 4, -6],
 [2, -4, -20, 9],
 [4, -4, -16, 6]]

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


[User]
Determine the rank of the following matrix:
[[-10, -5, 2, 5],
 [5, 0, 7, -10],
 [21, 12, -9, -6],
 [-8, -1, -8, 13]]

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


[User]
What is the rank of the matrix:
[[-10, -2, 1, 3],
 [8, -5, -3, -9],
 [-20, 11, 7, 21],
 [-6, 3, 2, 6]]?

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


[User]
Calculate the rank of matrix A where A =
[[-5, 5, 5, -9],
 [4, -12, 12, 0],
 [0, -2, 4, -4],
 [7, -3, -15, 19]]

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


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

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


[User]
What is the rank of the matrix:
[[8, 10, 0, 10],
 [-13, -17, -9, -8],
 [-6, -8, -6, -2],
 [11, 14, 3, 11]]?

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-18, 4, 16, 12],
 [-4, 24, 20, 8],
 [-1, -2, -3, -4],
 [-14, 12, 8, -8]]

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


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

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


[User]
Determine the rank of the following matrix:
[[12, -3, 6, -3],
 [-16, 23, -4, -5],
 [-6, -6, -3, 6],
 [-6, 15, -2, -6]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[8, 10, -1, -16],
 [8, -2, 17, 8],
 [-8, 2, -17, -8],
 [8, 8, 2, -12]]

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


[User]
Determine the rank of the following matrix:
[[-6, 12, 4, 2],
 [-4, 2, -1, -5],
 [1, 9, 8, 0],
 [-1, 20, 15, 0]]

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


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

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


[User]
Find the rank of the matrix:
[[14, 3, -6, -4],
 [22, 15, 0, 4],
 [-16, -32, -12, -16],
 [0, 24, 44, 48]]

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[8, -16, 0, 4],
 [-2, -8, 8, -9],
 [-10, 17, 2, -7],
 [4, -8, 0, 2]]

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


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

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


[User]
Determine the rank of the following matrix:
[[0, 0, -16, 32],
 [6, 0, -4, 8],
 [-12, 0, 8, -16],
 [-15, 0, 2, -4]]

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


[User]
Find the rank of the matrix:
[[6, -3, 3, -20],
 [-4, -14, -12, -9],
 [6, 17, 15, 8],
 [2, 16, 6, 18]]

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


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

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


[User]
Find the rank of the matrix:
[[11, -8, -7, 7],
 [-23, 6, 5, -5],
 [13, 13, 9, -18],
 [-4, 1, -4, -11]]

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


[User]
Find the rank of the matrix:
[[-21, 5, -14, -18],
 [3, -19, 6, 2],
 [-6, 17, -5, 17],
 [6, 27, -3, -1]]

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


[User]
What is the rank of the matrix:
[[7, 7, -6, 3],
 [-6, -6, 13, -1],
 [11, 11, -13, 4],
 [-3, -3, 4, -1]]?

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


[User]
Calculate the rank of matrix A where A =
[[-16, -4, 0, -8],
 [12, -4, -14, -1],
 [-8, 2, 8, 0],
 [4, -8, -18, -7]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-12, 3, -6, -18],
 [-8, 2, 9, 1],
 [16, -4, -3, 13],
 [-12, 3, -12, -24]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-4, 6, -8, 2],
 [0, -6, 3, -12],
 [-2, 9, -7, 13],
 [8, -2, 11, 16]]

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


[User]
What is the rank of the matrix:
[[-1, 2, -2, -2],
 [7, -13, 15, 10],
 [-1, 3, -1, 0],
 [0, -18, -18, -25]]?

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


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

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


[User]
What is the rank of the matrix:
[[9, 9, -1, -5],
 [-13, -3, -3, 9],
 [13, -8, 10, -8],
 [17, 5, 1, -15]]?

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


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

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


[User]
Find the rank of the matrix:
[[5, 11, 13, 21],
 [16, 11, 10, -6],
 [13, 13, 5, -3],
 [7, 12, 8, 12]]

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


[User]
Calculate the rank of matrix A where A =
[[13, 7, 8, -11],
 [1, -5, 2, -14],
 [-8, 0, -6, 17],
 [-28, -20, -16, 12]]

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


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

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


[User]
What is the rank of the matrix:
[[9, 7, 5, -4],
 [8, 16, 4, -6],
 [-11, 0, -2, 11],
 [22, 19, 15, -5]]?

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


[User]
What is the rank of the matrix:
[[0, 3, -4, 3],
 [-18, 20, -7, 2],
 [-2, 1, -16, 9],
 [-1, 5, -14, 9]]?

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


[User]
Find the rank of the matrix:
[[4, 2, 16, 3],
 [0, -6, 24, 3],
 [6, 14, -20, -1],
 [0, -8, 32, 4]]

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-9, 8, 18, -28],
 [11, -17, 28, -25],
 [-7, 9, -16, 15],
 [9, -7, -4, 9]]?

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


[User]
Determine the rank of the following matrix:
[[-4, -8, -11, -5],
 [4, 12, 12, 12],
 [-2, -2, -5, 1],
 [6, 6, 15, -3]]

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


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

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


[User]
Find the rank of the matrix:
[[3, 2, -4, -7],
 [-10, -4, 16, -1],
 [-5, 0, 4, 15],
 [5, 7, -8, -17]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-12, -12, 18, -9],
 [-12, -6, -6, 9],
 [-8, -6, 4, 0],
 [8, 10, -20, 12]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-6, 6, 6, -10],
 [-4, -8, 4, 4],
 [-8, 11, 8, -16],
 [14, -8, -14, 18]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[30, -16, 28, -6],
 [0, 9, 0, -11],
 [14, -6, 14, -2],
 [14, -20, 10, 4]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-6, -12, -6, -3],
 [34, 20, 6, 11],
 [10, -13, -6, 2],
 [2, -19, -6, 0]]

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[5, -15, 0, 9],
 [13, -1, -19, -7],
 [9, -13, -7, 5],
 [3, -1, -4, -1]]

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


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

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


[User]
Find the rank of the matrix:
[[10, -16, -12, 8],
 [10, -2, 16, -24],
 [-9, -1, -20, 28],
 [14, -14, 0, -8]]

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


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

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


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

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


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

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-8, -4, 8, -4],
 [-4, -8, -5, 1],
 [-4, 2, 10, -4],
 [20, 12, -17, 9]]?

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[1, -15, -4, -5],
 [1, 7, 4, -3],
 [28, -25, 28, -15],
 [-18, -4, -24, -24]]

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


[User]
Calculate the rank of matrix A where A =
[[17, 0, -25, -12],
 [-19, -1, 19, 17],
 [8, -4, 6, -16],
 [22, 4, -31, -14]]

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


[User]
Find the rank of the matrix:
[[3, 0, -6, -12],
 [-3, 4, 5, 13],
 [0, 16, -4, 4],
 [0, 0, 0, 0]]

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


[User]
Find the rank of the matrix:
[[10, 0, -16, -7],
 [-2, 13, -2, 6],
 [-7, 14, -2, 10],
 [6, -7, 10, -7]]

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


[User]
Calculate the rank of matrix A where A =
[[15, 12, -12, 18],
 [12, 12, -12, 16],
 [14, 10, -10, 16],
 [20, 16, -16, 24]]

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


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

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


[User]
What is the rank of the matrix:
[[-12, 0, -9, -6],
 [-2, 7, 17, 5],
 [-21, 10, 4, -9],
 [11, -7, -6, 4]]?

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


[User]
What is the rank of the matrix:
[[-3, 9, -9, -9],
 [5, -7, -1, 7],
 [20, -28, -4, 28],
 [10, -14, -2, 14]]?

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


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

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-5, -8, 8, -7],
 [0, -6, 6, 6],
 [5, 17, -17, -2],
 [4, 16, -16, -4]]

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


[User]
Calculate the rank of matrix A where A =
[[7, 15, -18, 14],
 [-12, -7, 2, -6],
 [0, -8, 10, -16],
 [7, 6, 0, 20]]

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


[User]
Determine the rank of the following matrix:
[[10, -12, -8, -3],
 [-12, -8, -10, -2],
 [2, -4, -3, -1],
 [4, -24, -20, -6]]

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


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

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[10, 17, 2, -2],
 [5, -6, 3, 2],
 [3, 3, -6, 8],
 [-2, 2, 5, -8]]

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


[User]
Calculate the rank of matrix A where A =
[[0, -10, -18, 1],
 [-12, 18, -10, 19],
 [6, -23, -9, -13],
 [4, 11, 11, 2]]

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-1, -6, -14, -2],
 [4, 0, 0, -28],
 [4, -9, 14, -10],
 [-2, 1, -6, 8]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[8, 6, -14, -4],
 [-4, -3, -9, -6],
 [-12, -9, -7, -8],
 [12, 9, 3, 6]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[11, 7, 9, 0],
 [12, 2, 6, 0],
 [3, 2, 6, 0],
 [15, 4, 12, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[-12, 12, -18, 4],
 [-3, 3, -6, 1],
 [-6, 6, -11, 2],
 [9, -9, 8, -3]]

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


[User]
What is the rank of the matrix:
[[-13, -2, 1, 0],
 [-14, -4, -2, 0],
 [-19, -8, -7, 0],
 [-2, -4, -6, 0]]?

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


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

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],
 [6, 8, -8, -4],
 [-12, -16, 16, 8]]

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-8, -13, 18, 4],
 [-10, -5, 4, -18],
 [0, 5, -2, 10],
 [-4, 1, -6, -22]]

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


[User]
Determine the rank of the following matrix:
[[3, -9, 3, -9],
 [9, -21, 3, 3],
 [-10, 24, -4, 0],
 [-2, 6, -2, 6]]

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-28, 11, 19, -4],
 [-16, 6, 10, -2],
 [12, -3, -3, 0],
 [20, -9, -17, 4]]

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


[User]
Calculate the rank of matrix A where A =
[[-16, 6, 6, -13],
 [-12, 6, 9, -9],
 [0, 8, 0, 12],
 [20, -8, 3, 12]]

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


[User]
Calculate the rank of matrix A where A =
[[-3, 4, 8, 0],
 [16, 2, 17, -22],
 [-8, -7, 1, 18],
 [4, -3, -1, -2]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[0, -4, 4, -1],
 [-2, -16, 16, -5],
 [-2, -8, 8, -3],
 [8, -12, 12, 1]]

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


[User]
Calculate the rank of matrix A where A =
[[-8, 10, 13, 7],
 [-3, -3, -12, -12],
 [14, -10, -4, 4],
 [-11, 7, 1, -5]]

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


[User]
What is the rank of the matrix:
[[-8, -11, -1, -2],
 [8, 8, 2, 0],
 [-12, -18, -1, -4],
 [0, -9, 3, -6]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[3, -7, -1, 0],
 [-4, 0, 6, 0],
 [-3, 11, -1, 0],
 [-3, 15, -3, 0]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[2, -11, 3, 3],
 [12, 9, 9, 3],
 [-14, 2, -12, -6],
 [18, 1, 15, 7]]

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[5, -12, 27, 12],
 [10, 12, -6, 4],
 [8, 8, 2, 22],
 [5, 4, -2, -7]]

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


[User]
Calculate the rank of matrix A where A =
[[-15, -29, -13, -30],
 [-6, -14, -8, -14],
 [4, -4, 4, 0],
 [-12, 4, 0, -4]]

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


[User]
Determine the rank of the following matrix:
[[15, -12, -30, 12],
 [33, -21, -6, 22],
 [-10, 5, 28, -9],
 [21, -15, -18, 15]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[1, 0, -6, 12],
 [4, -6, 9, -12],
 [9, -12, 12, -12],
 [17, -20, 8, 4]]

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-1, 8, -4, -18],
 [-3, 4, -4, -2],
 [-1, -2, 0, 8],
 [12, -16, 16, 8]]?

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-12, -2, -19, 9],
 [-3, 1, -5, 1],
 [-3, 15, 8, -11],
 [-6, -4, -9, 7]]

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


[User]
Determine the rank of the following matrix:
[[-1, 2, 2, 10],
 [-1, 22, 7, 15],
 [-4, 20, 9, 9],
 [6, -3, -6, 6]]

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


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

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


[User]
Find the rank of the matrix:
[[-1, -5, -4, 1],
 [-18, -3, -2, -2],
 [8, 10, 12, -8],
 [16, -13, -1, -11]]

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


[User]
Find the rank of the matrix:
[[7, 2, 2, 28],
 [-1, -10, 7, -4],
 [-2, 12, -13, -8],
 [6, -12, 16, 24]]

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


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

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


[User]
Find the rank of the matrix:
[[-18, 4, -5, -13],
 [-26, 3, -2, -13],
 [28, -4, 6, 18],
 [16, -18, -2, 8]]

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


[User]
Find the rank of the matrix:
[[-4, 2, -4, 8],
 [-6, 3, -6, 12],
 [8, -4, 8, -16],
 [-4, 7, -5, 14]]

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


[User]
Calculate the rank of matrix A where A =
[[-12, 12, -12, -3],
 [3, 0, 15, 9],
 [0, 4, 16, 11],
 [0, -4, -16, -11]]

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


[User]
Find the rank of the matrix:
[[10, 4, -9, 0],
 [2, 20, 3, 0],
 [7, 4, -6, 0],
 [-1, 8, 3, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[-13, 8, 8, 7],
 [2, 4, -12, 14],
 [4, -11, -4, -13],
 [-20, -16, 0, -20]]

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


[User]
Determine the rank of the following matrix:
[[3, -9, 8, -22],
 [-8, 14, 2, 17],
 [-16, 16, 0, 12],
 [2, 7, 11, 8]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[0, 0, 0, 0],
 [20, -3, -7, -11],
 [20, -3, -7, -11],
 [20, -7, -3, -14]]

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


[User]
Find the rank of the matrix:
[[0, -4, -16, -16],
 [6, -3, -15, -24],
 [-8, 0, 20, 16],
 [-8, 4, 20, 32]]

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


[User]
Find the rank of the matrix:
[[0, 2, -4, 8],
 [-3, -15, -6, 0],
 [0, -1, 2, -4],
 [-3, -10, -16, 20]]

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


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

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-1, -9, -1, 12],
 [14, -12, 10, -20],
 [12, 5, 13, 19],
 [21, -1, 19, -2]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[7, 13, 5, 11],
 [-16, -10, -2, -20],
 [-2, -12, -14, -10],
 [-1, -5, 15, 7]]

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


[User]
What is the rank of the matrix:
[[-8, -12, 6, -18],
 [4, -6, 6, -28],
 [2, -12, 25, 4],
 [2, 3, 5, 24]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[9, -11, -11, -5],
 [5, -15, -28, -21],
 [5, 3, 4, 4],
 [0, 16, 22, 16]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-12, -2, -9, 7],
 [-20, 7, -18, 12],
 [-8, -13, -6, 8],
 [-2, -2, 0, 0]]

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


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

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


[User]
Determine the rank of the following matrix:
[[28, 20, 0, 7],
 [8, 0, -20, 2],
 [4, 2, -3, 1],
 [16, 10, -5, 4]]

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


[User]
Determine the rank of the following matrix:
[[-12, 21, 7, -16],
 [12, -18, -10, 16],
 [0, -3, 3, 0],
 [9, -3, -18, 12]]

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


[User]
Calculate the rank of matrix A where A =
[[2, 30, 1, -26],
 [-14, -14, 0, 10],
 [-21, -7, -6, -1],
 [7, 0, -4, -1]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-4, -13, 5, -13],
 [4, -11, -5, -5],
 [-2, 13, -3, 13],
 [-12, 17, 15, 3]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-14, -17, 13, 2],
 [0, 5, -17, -8],
 [4, 2, 6, 4],
 [-1, -8, 24, 11]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-2, -9, -10, -2],
 [-22, 3, -33, 20],
 [6, -1, 9, -8],
 [10, -3, 14, -14]]

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


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

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


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

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-1, -9, 1, -12],
 [-2, 0, 5, 12],
 [1, 5, 9, 4],
 [-3, -1, -14, 16]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-24, 1, -13, 0],
 [18, -7, -9, 5],
 [-8, -1, 13, -8],
 [3, -1, 3, -1]]

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


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

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


[User]
Determine the rank of the following matrix:
[[8, -8, -10, -20],
 [0, 4, -1, 2],
 [-4, -16, 10, 0],
 [2, 0, -3, -4]]

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


[User]
Determine the rank of the following matrix:
[[14, -3, -3, 24],
 [-14, 16, 14, -37],
 [15, 11, 7, 17],
 [13, -13, -5, 13]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-20, 17, 9, -14],
 [28, -19, -11, 10],
 [-4, 1, 1, 2],
 [-4, 7, 3, -10]]

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


[User]
What is the rank of the matrix:
[[4, 6, 8, -8],
 [8, 10, -24, 12],
 [-7, -9, 16, -7],
 [-3, -3, 24, -15]]?

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-16, -16, 8, 16],
 [-28, -8, -4, 32],
 [-12, -12, 6, 12],
 [13, 18, -11, -12]]?

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


[User]
What is the rank of the matrix:
[[-16, -10, 15, -10],
 [-8, -6, 9, -14],
 [-19, -10, 15, 5],
 [6, 2, -3, -12]]?

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


[User]
Find the rank of the matrix:
[[11, -5, 10, 21],
 [5, 2, 4, 3],
 [2, -14, -4, 14],
 [-7, 1, 0, -2]]

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


[User]
Determine the rank of the following matrix:
[[-5, 23, -5, 7],
 [10, -9, 25, -15],
 [-6, 14, -14, 12],
 [2, 1, 3, 1]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[34, 16, 18, -9],
 [6, -24, 2, 0],
 [-4, 20, -3, -3],
 [11, 4, 7, -1]]

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


[User]
What is the rank of the matrix:
[[16, 26, -17, 27],
 [2, 0, 5, 14],
 [-12, -12, 19, -13],
 [-4, -20, 5, -3]]?

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


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

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


[User]
What is the rank of the matrix:
[[-15, 5, -38, -33],
 [-6, 4, -16, -12],
 [-8, 3, -14, -7],
 [0, -11, 14, 9]]?

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


[User]
Find the rank of the matrix:
[[6, 2, 6, -6],
 [-6, -14, 0, -6],
 [9, -1, 11, -13],
 [-6, -6, -4, 2]]

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


[User]
What is the rank of the matrix:
[[-6, 8, -20, -12],
 [-10, 7, 1, -12],
 [-6, 4, 16, -4],
 [6, -16, 24, 14]]?

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


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

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


[User]
What is the rank of the matrix:
[[-17, -4, -2, -10],
 [-17, -4, -2, -10],
 [-14, 0, 0, -8],
 [25, -4, -2, 14]]?

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


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

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


[User]
Find the rank of the matrix:
[[18, 18, -7, 18],
 [-14, -14, 4, -11],
 [16, 16, -8, 16],
 [2, 2, 1, 2]]

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


[User]
Determine the rank of the following matrix:
[[12, 13, -25, -5],
 [6, 9, -5, 5],
 [-9, -12, 12, -3],
 [12, 18, -10, 10]]

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


[User]
Determine the rank of the following matrix:
[[-2, -6, 6, 4],
 [9, 8, 11, 1],
 [-4, -6, 0, 2],
 [1, 2, -1, -1]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-2, 3, 4, -4],
 [-10, 8, 11, -9],
 [14, 0, -1, -5],
 [-6, 2, 3, -1]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[18, -2, -12, 14],
 [0, -22, 16, -14],
 [-8, -4, 10, -10],
 [-10, 6, 7, -7]]

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


[User]
What is the rank of the matrix:
[[8, -8, -14, -31],
 [8, -2, -6, -9],
 [28, 4, 0, 12],
 [0, -2, 2, -5]]?

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


[User]
Determine the rank of the following matrix:
[[4, 28, 1, 16],
 [-8, -8, -2, -2],
 [-12, 20, -3, 17],
 [0, -24, 0, -15]]

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


[User]
Calculate the rank of matrix A where A =
[[-12, -6, -4, 10],
 [8, 12, -9, -11],
 [-2, 3, 18, -25],
 [-4, 10, -20, -2]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[12, 23, 5, 1],
 [14, 23, -1, 11],
 [5, 3, -9, 17],
 [-2, -1, -1, -5]]

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


[User]
Calculate the rank of matrix A where A =
[[0, -20, -12, 20],
 [-17, 14, -8, -12],
 [10, -6, 1, -1],
 [-21, 0, -12, 12]]

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


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

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


[User]
What is the rank of the matrix:
[[-12, -5, -10, -6],
 [18, 0, -11, 9],
 [-10, 1, 2, -5],
 [-6, 0, 14, -3]]?

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


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

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


[User]
Find the rank of the matrix:
[[5, -8, -2, -3],
 [7, 8, -6, -1],
 [13, -16, -6, -7],
 [4, -16, 0, -4]]

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


[User]
Determine the rank of the following matrix:
[[-3, 6, -21, -12],
 [13, -14, 19, 16],
 [-5, 2, 13, 4],
 [-18, 16, -6, -12]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-6, -17, 16, -21],
 [-18, 1, 7, 0],
 [-4, 6, 12, 10],
 [-6, -4, 7, -5]]

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


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

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


[User]
Find the rank of the matrix:
[[-7, 2, -14, 1],
 [16, 4, 8, 8],
 [7, -2, 14, -1],
 [21, 9, 0, 15]]

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


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

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


[User]
Determine the rank of the following matrix:
[[0, 8, 8, 15],
 [-9, 8, 5, 0],
 [-6, 10, 7, 9],
 [-9, 6, 4, -4]]

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


[User]
Calculate the rank of matrix A where A =
[[9, 3, 19, 16],
 [13, 3, 21, 4],
 [-11, -21, -17, 2],
 [-10, -18, -14, 6]]

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


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

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


[User]
Find the rank of the matrix:
[[-2, 10, -10, -20],
 [-2, 6, -6, -12],
 [-3, 5, -5, -10],
 [3, -3, 3, 6]]

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


[User]
Find the rank of the matrix:
[[9, 25, 1, -11],
 [-12, 3, 6, 0],
 [-9, 10, 6, -3],
 [12, 33, -4, -4]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[4, 4, -16, 8],
 [1, -7, 9, -7],
 [-5, 11, -6, 8],
 [5, -11, 6, -8]]

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


[User]
Determine the rank of the following matrix:
[[0, 8, 16, -8],
 [0, 0, 0, 0],
 [0, 8, 16, -8],
 [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],
 [20, 4, 4, 0],
 [-28, -4, -12, 0],
 [0, 2, -8, 0]]?

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


[User]
Determine the rank of the following matrix:
[[9, 12, 3, 33],
 [-24, 0, 18, 0],
 [-5, -3, 1, -7],
 [-11, -6, 1, -7]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[19, -4, 9, 1],
 [-2, 22, 23, -2],
 [12, -2, 7, 0],
 [-16, 6, -1, -4]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-12, 8, 19, -7],
 [-2, -8, -6, 0],
 [0, 1, -9, 8],
 [11, 28, 5, 12]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[11, 2, 2, -3],
 [2, -1, -1, 0],
 [-4, 2, 2, 0],
 [-17, 1, 1, 3]]

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


[User]
Calculate the rank of matrix A where A =
[[0, 0, -1, -3],
 [0, 0, -3, -9],
 [-1, 2, 1, 7],
 [-8, 16, -4, 20]]

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


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

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


[User]
Determine the rank of the following matrix:
[[8, -1, 22, -15],
 [-9, -14, -8, 16],
 [2, -1, 12, -9],
 [-2, -9, -7, 14]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[9, 3, -6, 12],
 [3, 1, -2, 4],
 [0, 0, 0, 0],
 [-12, -4, 8, -16]]

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


[User]
What is the rank of the matrix:
[[-13, 15, 12, -12],
 [10, 2, 6, -6],
 [0, 8, 9, -9],
 [3, -1, 0, 0]]?

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


[User]
Calculate the rank of matrix A where A =
[[10, 13, -8, 3],
 [-12, -24, 12, -12],
 [-6, 16, -1, 25],
 [-6, -19, 10, -7]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-10, 7, 6, 2],
 [18, -16, -10, -8],
 [11, -3, 5, -3],
 [13, -14, -1, -12]]

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


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

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


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

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[18, -10, -4, 12],
 [2, -10, -6, -2],
 [-1, -11, -7, -5],
 [-11, 7, 3, -7]]

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


[User]
Determine the rank of the following matrix:
[[4, 6, -14, 2],
 [2, 0, 5, 4],
 [-2, 2, -13, -6],
 [0, -3, 12, 3]]

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


[User]
Determine the rank of the following matrix:
[[0, -3, 9, -9],
 [4, -12, -4, 16],
 [6, -20, 0, 18],
 [6, -21, 3, 15]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-16, -20, 0, 10],
 [16, 4, 4, -15],
 [-16, -30, -10, 10],
 [-4, -12, 7, -1]]?

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


[User]
Determine the rank of the following matrix:
[[-20, -16, 16, -8],
 [0, 6, -1, -7],
 [8, -2, -5, 13],
 [-8, -10, 7, 1]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-19, 17, -1, -10],
 [-9, 6, -7, -6],
 [11, 11, 8, 14],
 [-12, 18, -5, -4]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[4, 4, -7, 2],
 [-3, 24, -15, -6],
 [-7, 8, 1, -6],
 [-5, 28, -16, -8]]

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


[User]
Calculate the rank of matrix A where A =
[[-2, 2, -11, -16],
 [6, -6, -12, -20],
 [0, 0, 15, 16],
 [-11, 11, 12, 12]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-2, 8, -3, 9],
 [30, -6, 19, -5],
 [12, -6, 8, -4],
 [-30, 12, -20, 10]]

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


[User]
Determine the rank of the following matrix:
[[6, -4, 9, -19],
 [-2, 4, 10, -18],
 [-19, 18, -8, 20],
 [23, -24, 6, -15]]

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


[User]
Find the rank of the matrix:
[[-18, -15, -15, -4],
 [-5, -2, -16, -14],
 [22, 18, 10, 8],
 [-18, -14, -11, -11]]

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


[User]
What is the rank of the matrix:
[[-20, 2, -10, 0],
 [-4, 6, -9, 7],
 [8, -4, 8, -4],
 [-12, 10, -17, 11]]?

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


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

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


[User]
What is the rank of the matrix:
[[-14, 9, -15, -9],
 [14, -9, 15, 9],
 [-8, 0, -6, -9],
 [2, 13, -5, 12]]?

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


[User]
Find the rank of the matrix:
[[7, 8, -2, -4],
 [18, 16, 8, 0],
 [1, -12, 12, 14],
 [-6, -4, 2, 2]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[0, -8, 6, 14],
 [0, 5, -3, -2],
 [0, -7, 4, 1],
 [0, -6, 3, -3]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[6, 8, 16, 9],
 [-13, -15, -4, -7],
 [-1, -7, 12, -4],
 [19, 20, 16, 11]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[9, 1, 1, -14],
 [-20, 8, -8, 28],
 [6, -14, 12, -28],
 [6, 36, -23, 8]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[6, 0, 8, -6],
 [3, -12, -6, 3],
 [2, -8, -4, 2],
 [5, 4, 10, -7]]

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


[User]
What is the rank of the matrix:
[[4, 2, -7, 1],
 [20, 4, -20, 8],
 [-5, 1, 0, -3],
 [12, 4, -16, 4]]?

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


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

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


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

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


[User]
Find the rank of the matrix:
[[7, -1, -4, -16],
 [9, 0, -5, -22],
 [-7, 22, 20, 6],
 [-6, -3, 3, 18]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[5, -8, -14, 15],
 [6, -10, -12, 11],
 [13, -2, -24, 11],
 [-11, 2, 22, -12]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[5, -5, -16, 18],
 [0, 0, 0, 0],
 [4, 3, 4, -8],
 [-6, 3, 12, -12]]

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


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

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


[User]
What is the rank of the matrix:
[[12, 24, -1, 6],
 [13, 16, -1, 8],
 [-14, -32, 3, -6],
 [-10, -40, 1, -2]]?

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


[User]
Calculate the rank of matrix A where A =
[[-2, -9, 9, 21],
 [4, -12, -8, -2],
 [8, 2, -10, -2],
 [-2, -7, -1, -5]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-3, 4, 15, 23],
 [12, -16, 0, 4],
 [-13, 24, 15, 11],
 [6, -8, -10, -14]]

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


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

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


[User]
What is the rank of the matrix:
[[-9, 1, 10, 7],
 [-5, -7, 8, -5],
 [22, 10, -20, -18],
 [9, 3, -12, -1]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[0, 0, 0, 0],
 [-12, -22, -20, -12],
 [6, -1, -6, 6],
 [0, 9, 12, 0]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-3, 13, -7, 5],
 [-1, -14, 11, -5],
 [10, -3, -6, -2],
 [7, 10, -13, 3]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-5, -7, -4, 0],
 [-11, -11, -14, -10],
 [-5, -6, -7, 15],
 [-6, -2, -12, -18]]

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[5, -10, -1, 1],
 [5, 0, 7, 3],
 [5, 0, 7, 3],
 [0, -10, -8, -2]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-5, -8, -2, 7],
 [24, 28, 7, 8],
 [2, 0, 0, 10],
 [4, 8, 2, -12]]

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


[User]
Calculate the rank of matrix A where A =
[[-7, -7, 8, -19],
 [-12, -12, 16, 4],
 [-2, -2, -10, -10],
 [-4, -4, -2, -20]]

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


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

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


[User]
Determine the rank of the following matrix:
[[2, -8, -18, 14],
 [-7, -14, -9, 5],
 [-2, 8, 18, -14],
 [-6, -4, 6, -6]]

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


[User]
Determine the rank of the following matrix:
[[8, 2, 14, -5],
 [-13, 16, -2, -4],
 [19, -4, 14, 1],
 [-7, 7, 1, -4]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[4, 4, 0, 0],
 [-8, -10, 2, -4],
 [-17, -2, 12, -24],
 [11, 8, -4, 8]]

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


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

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-1, -4, 6, -2],
 [0, -10, 11, -3],
 [-2, 8, -4, -2],
 [-3, -6, 13, -7]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[3, 15, 0, 1],
 [17, -7, -4, 0],
 [0, 0, 0, 0],
 [-5, -5, 10, -5]]

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


[User]
What is the rank of the matrix:
[[-12, -18, 1, 2],
 [12, 24, 1, -10],
 [4, 7, 0, -2],
 [-8, 1, 5, -16]]?

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


[User]
Calculate the rank of matrix A where A =
[[-4, 8, 4, -6],
 [-10, 1, 28, -3],
 [-22, -1, 4, 3],
 [-2, -3, 20, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[5, 5, -15, 9],
 [-15, 17, 1, 1],
 [-11, -1, 17, -7],
 [0, -12, 14, -6]]

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


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

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


[User]
Find the rank of the matrix:
[[8, 2, 6, 2],
 [0, 0, 0, 0],
 [-5, 0, -2, -4],
 [-12, -8, -16, 8]]

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


[User]
Determine the rank of the following matrix:
[[-9, 6, 24, -15],
 [-13, -15, -19, 3],
 [2, -4, -10, 14],
 [-15, -6, 5, -1]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[12, 24, -4, 8],
 [6, 16, -8, 10],
 [-9, -20, 6, -9],
 [6, -14, -8, 4]]

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


[User]
Determine the rank of the following matrix:
[[28, -32, 12, 4],
 [16, -20, 0, 10],
 [-12, 16, 4, -12],
 [-4, 0, -20, 20]]

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


[User]
Find the rank of the matrix:
[[-26, 8, 21, 7],
 [-4, 10, -18, 0],
 [4, -22, 6, -4],
 [-6, 24, -3, 5]]

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


[User]
What is the rank of the matrix:
[[-8, 4, -8, 0],
 [3, 12, -22, -10],
 [10, 0, 8, 2],
 [8, 0, 12, 6]]?

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[0, -4, -2, 12],
 [-16, 12, -6, 20],
 [-6, 3, -3, 12],
 [20, -16, 7, -22]]

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


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

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


[User]
Find the rank of the matrix:
[[0, 4, 14, -2],
 [8, 13, -9, 6],
 [2, 4, 0, 0],
 [-20, -33, 25, -2]]

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


[User]
Find the rank of the matrix:
[[-8, -23, 3, -20],
 [20, 2, -2, -12],
 [9, 15, -1, 11],
 [2, -1, -7, -6]]

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


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

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


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

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[9, -3, 3, 3],
 [4, -5, 5, 5],
 [11, 3, 12, -23],
 [10, -6, 9, 2]]

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[1, 3, -1, -1],
 [-4, -12, -4, 0],
 [0, 18, 2, -8],
 [-10, 9, -7, -18]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[14, -20, -6, 8],
 [7, -17, -5, 3],
 [-1, -18, -7, 2],
 [4, -29, -14, 15]]

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-12, -2, 18, 2],
 [15, 10, 3, -16],
 [15, 8, -1, -12],
 [17, 12, 1, -20]]

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


[User]
What is the rank of the matrix:
[[-18, -15, 21, -12],
 [-12, -12, 21, -15],
 [8, 0, 1, 1],
 [-8, -4, 13, -15]]?

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


[User]
Calculate the rank of matrix A where A =
[[-8, 1, 6, 2],
 [13, -2, -9, -3],
 [16, -2, -12, -4],
 [-17, 4, 9, 3]]

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


[User]
What is the rank of the matrix:
[[-20, -4, -24, 12],
 [2, 2, 6, -8],
 [20, 4, 24, -12],
 [-11, 1, -6, -7]]?

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


[User]
Calculate the rank of matrix A where A =
[[-6, -8, -6, -13],
 [16, 4, 20, 28],
 [-8, 1, -10, -13],
 [4, -11, -4, 5]]

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


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

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


[User]
Determine the rank of the following matrix:
[[21, 18, -6, 3],
 [22, 17, -3, 4],
 [12, 8, 2, -1],
 [-7, -2, -12, 16]]

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


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

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


[User]
What is the rank of the matrix:
[[-3, 14, -17, -10],
 [1, 2, 4, 5],
 [4, 0, 12, 0],
 [0, 0, 2, 6]]?

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


[User]
Find the rank of the matrix:
[[-16, 10, -8, -2],
 [-14, 10, 2, 8],
 [-40, 34, 0, 14],
 [10, -16, 2, 2]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-9, 4, -10, 2],
 [-14, -8, -12, -4],
 [-2, -24, 4, -12],
 [14, 8, 12, 4]]

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


[User]
What is the rank of the matrix:
[[4, -3, -9, -10],
 [-28, 18, 10, -16],
 [14, -9, -5, 8],
 [22, -19, -7, 20]]?

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


[User]
Determine the rank of the following matrix:
[[8, -12, -20, 4],
 [4, -2, -9, -1],
 [4, 2, -8, -4],
 [-4, -2, 8, 4]]

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


[User]
Find the rank of the matrix:
[[20, -4, 6, 11],
 [-20, -20, -8, 12],
 [16, -10, 4, 15],
 [16, -4, 22, 33]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[8, -2, -1, 13],
 [4, -10, -5, -7],
 [12, -18, -9, -3],
 [12, -6, -3, 15]]

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


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

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


[User]
Determine the rank of the following matrix:
[[18, 12, 32, -27],
 [0, 4, 8, -9],
 [-16, -4, -24, 21],
 [6, 28, 12, 0]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[3, -3, 1, -6],
 [-3, 3, -10, 15],
 [9, -9, -15, 0],
 [12, -12, 1, -21]]

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


[User]
Find the rank of the matrix:
[[-4, 17, 6, 1],
 [0, -8, -2, 0],
 [-4, 9, 4, 1],
 [-4, -3, 1, 1]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[1, -15, -10, -17],
 [13, -12, -3, -16],
 [-22, -14, -22, -11],
 [0, -36, -28, -40]]

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


[User]
Find the rank of the matrix:
[[-2, 4, 16, -10],
 [0, -1, 3, -1],
 [-3, 9, 15, -12],
 [-4, 15, 11, -13]]

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


[User]
Determine the rank of the following matrix:
[[10, -22, -18, -6],
 [12, -3, 0, 0],
 [-3, -9, -9, -3],
 [-7, -8, -9, -3]]

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


[User]
Find the rank of the matrix:
[[0, 0, 1, -1],
 [4, 16, -17, -7],
 [1, 4, -5, -1],
 [2, 8, -7, -5]]

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


[User]
Find the rank of the matrix:
[[8, 10, 11, 1],
 [0, -14, -9, 5],
 [4, 12, 10, -2],
 [3, -12, -6, 6]]

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


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

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


[User]
What is the rank of the matrix:
[[-8, 13, 4, 7],
 [0, 12, 8, 4],
 [4, 7, 7, 1],
 [-8, 16, 6, 8]]?

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


[User]
Find the rank of the matrix:
[[-5, -15, -20, -4],
 [-7, -3, 7, 10],
 [18, 10, -20, -16],
 [-9, 1, 21, 14]]

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


[User]
What is the rank of the matrix:
[[8, 1, 7, 6],
 [-2, -9, -7, -12],
 [-4, -3, -5, -6],
 [-5, 5, -1, 3]]?

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


[User]
Calculate the rank of matrix A where A =
[[-14, -8, 6, 12],
 [-10, 2, 12, 15],
 [-11, -2, 9, 13],
 [10, 4, -6, -10]]

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


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

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


[User]
Find the rank of the matrix:
[[6, -4, 18, -12],
 [0, 0, 0, 0],
 [6, 0, 10, -6],
 [-3, -8, 11, -9]]

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


[User]
Determine the rank of the following matrix:
[[-15, 21, -12, 6],
 [0, 8, -6, -7],
 [11, -17, 10, -3],
 [12, -4, 0, -16]]

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


[User]
Calculate the rank of matrix A where A =
[[11, 5, 6, 7],
 [11, -2, -9, 17],
 [2, -1, -3, 4],
 [-7, 0, 3, -9]]

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


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

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


[User]
Find the rank of the matrix:
[[-20, 24, 23, 3],
 [-4, 8, 9, -3],
 [0, -8, -13, -1],
 [0, -16, -25, 3]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-5, 2, 6, -10],
 [-10, 18, 4, 0],
 [-10, 18, 4, 0],
 [4, 4, -8, 16]]

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[0, 16, -24, -12],
 [6, 10, -6, 12],
 [-11, -7, 3, -23],
 [-9, -9, 9, -15]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[24, 12, -40, -16],
 [-9, 6, 6, 15],
 [12, 16, -24, -4],
 [6, 2, -8, -6]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[4, -5, 5, -11],
 [12, -14, 9, -13],
 [-4, -1, 1, 11],
 [-16, 15, -4, 0]]

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


[User]
Determine the rank of the following matrix:
[[-6, 0, 2, 0],
 [-8, 0, -8, -2],
 [10, 0, 18, 4],
 [-28, 0, -12, -4]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[5, 3, -7, -5],
 [24, 12, 12, 12],
 [1, 1, 19, 13],
 [-8, -1, 16, 6]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[15, 8, 12, 18],
 [-7, -13, -23, -21],
 [-9, 21, -3, 0],
 [-5, -16, 4, -6]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[6, 8, -11, 3],
 [-1, -4, -10, -6],
 [-4, -8, 20, -4],
 [-2, 0, -9, 1]]

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


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

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


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

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


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

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[16, 7, 13, -4],
 [10, 19, 7, -10],
 [16, 19, 13, -6],
 [-14, -5, -13, -4]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[7, 14, 15, -3],
 [12, 16, 16, 0],
 [7, 14, 15, -3],
 [11, 10, 9, 3]]

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


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

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


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

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


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

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-16, -7, -9, -13],
 [10, 1, 4, 8],
 [13, 10, 10, 11],
 [8, 2, 5, 7]]

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[12, 16, -16, -10],
 [16, 0, 0, -4],
 [-15, -12, 12, 9],
 [-14, -8, 8, 7]]

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


[User]
Find the rank of the matrix:
[[8, -11, -4, 4],
 [6, -7, -3, 8],
 [-12, 16, 6, -8],
 [-2, -1, 1, -16]]

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


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

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[9, 1, 5, 20],
 [-12, 8, 12, -8],
 [6, 0, 2, 12],
 [-9, 5, 7, -8]]

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


[User]
What is the rank of the matrix:
[[4, 6, -15, -13],
 [-13, -21, 12, 10],
 [-1, -5, 8, -2],
 [6, 10, -7, -5]]?

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-4, 0, 8, 10],
 [2, -2, -2, -1],
 [-2, 18, 8, -20],
 [8, -4, -14, -13]]

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


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

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


[User]
What is the rank of the matrix:
[[-14, -1, -6, -1],
 [-13, 0, -15, -4],
 [-4, -10, 0, 13],
 [8, -1, 0, 2]]?

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[11, -5, 2, -9],
 [-2, -4, -2, 0],
 [-2, 14, 4, 6],
 [-17, -7, -8, 9]]

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


[User]
What is the rank of the matrix:
[[-11, 8, 24, 12],
 [16, -28, 12, 12],
 [-2, 6, -2, -6],
 [15, -25, -3, 9]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-14, 19, 19, -6],
 [16, 7, -26, -6],
 [-12, -4, 10, 2],
 [-12, -4, 10, 2]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-4, -12, 16, 2],
 [5, 19, -28, -13],
 [-4, -6, 4, 16],
 [-7, -17, 20, 7]]

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


[User]
Calculate the rank of matrix A where A =
[[-4, -28, -8, -16],
 [5, 10, 4, 6],
 [0, 25, 6, 14],
 [-3, -21, -6, -12]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[3, 10, -9, 16],
 [-3, 5, -1, 4],
 [-21, 5, 13, -12],
 [-21, 2, 15, -16]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[4, -12, -12, -12],
 [4, -2, -8, -2],
 [-6, 3, 12, 3],
 [-7, 1, 13, 1]]

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[1, 21, 2, 11],
 [5, -5, -3, 0],
 [14, -4, -11, 5],
 [16, 8, -12, 12]]

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


[User]
Calculate the rank of matrix A where A =
[[0, -4, -1, 3],
 [12, -5, -11, 0],
 [-8, 2, 7, 1],
 [20, 1, -16, -7]]

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


[User]
Find the rank of the matrix:
[[6, 12, 6, -9],
 [-6, -4, 0, 0],
 [-10, -12, -8, 7],
 [-17, -10, -17, 3]]

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


[User]
What is the rank of the matrix:
[[-13, 6, -8, 9],
 [2, 8, -6, -8],
 [-1, -11, 11, 5],
 [5, 9, -11, -3]]?

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


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

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


[User]
What is the rank of the matrix:
[[0, -6, -10, 14],
 [0, 3, 9, -6],
 [0, 10, 14, -24],
 [-16, -3, -1, -8]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[-9, -2, 1, -13],
 [6, 3, 11, -16],
 [0, 19, 18, 4],
 [14, -5, -5, 8]]

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


[User]
Calculate the rank of matrix A where A =
[[-16, 10, 19, 13],
 [12, -14, -24, 0],
 [4, 2, 2, -10],
 [8, -12, -20, 4]]

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


[User]
Determine the rank of the following matrix:
[[0, -9, -24, 9],
 [0, -8, 2, -6],
 [0, -12, 3, -9],
 [0, -8, -28, 12]]

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


[User]
Determine the rank of the following matrix:
[[-8, -3, 0, 17],
 [-2, -2, 0, 1],
 [1, 14, 0, -3],
 [-2, -19, 0, 3]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-8, -4, 8, 8],
 [2, -20, 0, 10],
 [-1, -25, -6, 29],
 [0, -7, -2, 8]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[5, -1, 17, -11],
 [-1, 2, -7, 2],
 [12, 26, 6, -10],
 [-4, -2, -7, 10]]

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


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

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


[User]
Find the rank of the matrix:
[[-5, 0, 2, 5],
 [-12, 28, -12, -16],
 [6, -14, 6, 8],
 [-2, 3, -1, -1]]

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


[User]
Calculate the rank of matrix A where A =
[[12, -5, -11, 31],
 [-28, 29, 11, 1],
 [-12, 8, 5, -10],
 [8, -8, 2, -12]]

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


[User]
Find the rank of the matrix:
[[4, 3, -19, 10],
 [3, 5, 22, -8],
 [1, -1, -3, -3],
 [-12, -5, -1, 16]]

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


[User]
Find the rank of the matrix:
[[-13, 20, 0, 15],
 [-6, 16, -11, 12],
 [6, 0, -15, 0],
 [6, -8, -2, -6]]

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


[User]
Calculate the rank of matrix A where A =
[[-11, -7, -11, -5],
 [-10, -20, -19, -12],
 [-3, -13, -11, -7],
 [-16, 12, 0, 4]]

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


[User]
Calculate the rank of matrix A where A =
[[-7, 14, -36, 12],
 [15, 10, 4, 4],
 [13, 18, -4, 8],
 [8, 10, 12, 1]]

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


[User]
What is the rank of the matrix:
[[15, 10, -22, -4],
 [16, 14, -20, -6],
 [14, 0, 12, 13],
 [7, 7, -4, -2]]?

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


[User]
Determine the rank of the following matrix:
[[-2, 6, 16, 6],
 [1, 5, 2, 9],
 [-9, -6, 2, -20],
 [-5, -3, -17, -9]]

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


[User]
What is the rank of the matrix:
[[12, -8, 6, -18],
 [6, -18, -5, -21],
 [9, -11, -3, -15],
 [16, -8, 10, -22]]?

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


[User]
Calculate the rank of matrix A where A =
[[-20, 19, 13, -10],
 [7, 9, 6, -6],
 [12, 2, 2, -4],
 [-10, -13, -1, -10]]

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


[User]
Calculate the rank of matrix A where A =
[[1, 7, -16, 11],
 [-3, 3, -9, 7],
 [-14, 10, 5, 14],
 [0, 6, 17, 0]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[3, -6, -21, 15],
 [-4, 15, 0, -2],
 [0, 2, -8, -5],
 [-7, 20, 25, -7]]

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


[User]
What is the rank of the matrix:
[[4, -1, -1, -6],
 [2, 7, -18, -3],
 [2, 7, -18, -3],
 [6, 6, -19, -9]]?

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


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

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-8, -5, -9, -4],
 [3, 4, 2, -4],
 [-9, 0, -12, -2],
 [3, -14, 8, -12]]?

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[11, 7, 19, -20],
 [1, -13, -16, 20],
 [-9, 7, 1, -4],
 [6, 12, 21, -24]]

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


[User]
Calculate the rank of matrix A where A =
[[10, -1, 4, -8],
 [8, -5, 2, -10],
 [14, 0, 6, -10],
 [4, 15, 6, 10]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[5, 8, 14, 14],
 [-14, -17, -14, -17],
 [-8, 1, 10, 7],
 [9, -6, -6, -4]]

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


[User]
Determine the rank of the following matrix:
[[-3, -9, -9, 0],
 [-1, -3, -3, -10],
 [-1, -3, -3, 8],
 [-2, -6, -6, 1]]

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


[User]
Find the rank of the matrix:
[[2, 12, -4, 14],
 [0, 4, 0, 5],
 [10, 12, -20, 10],
 [-2, -16, 4, -19]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-10, 1, 4, 4],
 [14, 7, -13, -14],
 [8, 16, -15, -2],
 [2, 11, -7, 10]]?

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


[User]
Determine the rank of the following matrix:
[[-4, -9, -5, -10],
 [16, -16, -19, 14],
 [16, 4, -4, 24],
 [16, -24, -25, 10]]

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


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

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


[User]
What is the rank of the matrix:
[[14, -2, -6, -6],
 [8, -10, 17, 7],
 [-12, 2, 9, 10],
 [-4, 8, 2, 13]]?

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


[User]
Determine the rank of the following matrix:
[[-7, 0, 4, -7],
 [-6, -11, 5, 5],
 [18, 5, -11, 13],
 [-8, 4, 4, -12]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-17, 6, -13, 0],
 [-24, -5, -4, -9],
 [9, -11, 15, -5],
 [-4, 8, -2, -4]]?

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, 8, 0, 12],
 [0, 0, 0, 0]]?

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


[User]
Find the rank of the matrix:
[[16, -8, 16, -4],
 [4, 9, 8, -8],
 [4, -21, 8, 1],
 [-16, 8, -16, 4]]

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


[User]
Calculate the rank of matrix A where A =
[[-12, 11, 11, -16],
 [12, -8, 1, 10],
 [8, -9, -14, 14],
 [-16, 12, 4, -16]]

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


[User]
Calculate the rank of matrix A where A =
[[-14, -10, 14, -10],
 [-4, 1, -8, 0],
 [4, 15, -8, 2],
 [26, 12, -10, 15]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[7, 0, 4, -6],
 [-5, 17, -3, 21],
 [2, -4, 4, 0],
 [-10, -8, -6, 0]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-1, 26, 4, 8],
 [-3, -10, 4, 8],
 [12, -12, 12, -16],
 [3, 0, 18, 8]]

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


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

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


[User]
Find the rank of the matrix:
[[6, -4, -6, 2],
 [6, -4, -6, 2],
 [-15, -2, -3, -11],
 [-9, -6, -9, -9]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-8, 6, 14, 8],
 [-8, 5, 10, 5],
 [-8, 2, -2, -4],
 [-12, 7, 13, 6]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-7, 0, -11, -1],
 [-3, 1, -13, -29],
 [19, 7, 4, 2],
 [-24, -7, -9, 15]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[2, -1, -6, 1],
 [8, 4, -16, 4],
 [-6, -11, 4, -3],
 [10, 9, -16, 5]]

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


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

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


[User]
Find the rank of the matrix:
[[2, 14, -18, 8],
 [-8, -12, 12, -12],
 [10, -7, 15, 5],
 [20, 8, 0, 20]]

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


[User]
Calculate the rank of matrix A where A =
[[0, 0, 0, -3],
 [-8, 7, 5, 11],
 [-11, 16, 9, 20],
 [10, -8, -6, -6]]

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


[User]
What is the rank of the matrix:
[[-2, -9, -4, -11],
 [2, 18, -8, 20],
 [3, -3, 28, 0],
 [0, -12, 16, -12]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[-1, -10, -7, -19],
 [9, -1, -2, -24],
 [-9, -6, -3, 9],
 [-3, -9, -6, -12]]

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


[User]
Find the rank of the matrix:
[[16, -2, -3, -13],
 [12, -6, -9, -12],
 [12, -8, -12, -13],
 [8, -8, -12, -10]]

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


[User]
Calculate the rank of matrix A where A =
[[11, 6, 15, -1],
 [17, 15, 24, -4],
 [7, 7, 10, -2],
 [-7, 0, -9, -1]]

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


[User]
Calculate the rank of matrix A where A =
[[-2, -10, -6, -8],
 [1, -4, 0, -1],
 [7, -1, 9, 8],
 [-6, 6, -6, -4]]

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[22, 10, -14, 6],
 [-5, -7, 5, 3],
 [-8, 7, 1, -12],
 [-19, -11, 13, -3]]

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


[User]
What is the rank of the matrix:
[[1, -3, -22, -10],
 [3, 1, -1, 5],
 [11, 3, -8, 9],
 [9, 1, -16, 6]]?

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


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

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[12, 0, -8, -16],
 [15, -8, -6, 2],
 [-2, 12, 7, -14],
 [3, 4, 6, -1]]

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


[User]
What is the rank of the matrix:
[[-25, 16, 8, -22],
 [4, -16, -8, 8],
 [13, -4, -2, 10],
 [16, -16, -8, 16]]?

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-13, -6, 9, -4],
 [14, 2, -10, -2],
 [-6, -6, 4, -6],
 [8, 7, -5, 9]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[12, 0, -12, -3],
 [8, 0, -8, -2],
 [12, 0, -12, -3],
 [-16, 0, 16, 4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[0, -8, -4, 8],
 [0, 4, 2, -4],
 [0, 8, 4, -8],
 [0, 0, 0, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[3, -7, 5, -1],
 [8, -12, 16, -10],
 [-2, -12, -10, 19],
 [4, 28, 12, -26]]

Present the answer in LaTex format: \boxed{Your answer}