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

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


[User]
Determine the rank of the following matrix:
[[-9, 0, -6, 0],
 [-13, -1, -9, -1],
 [4, 1, 3, 1],
 [-16, -4, -12, -4]]

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


[User]
Calculate the rank of matrix A where A =
[[3, -4, -9, -1],
 [7, 3, -11, 6],
 [-11, 6, 0, 2],
 [-10, 8, -7, 5]]

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


[User]
Calculate the rank of matrix A where A =
[[3, -21, -5, 10],
 [-3, 12, 8, -7],
 [1, -3, -3, 2],
 [0, -6, 2, 2]]

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


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

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


[User]
Find the rank of the matrix:
[[-12, -4, -15, 8],
 [12, -8, 24, 4],
 [9, 14, 3, -17],
 [-6, -16, 3, 18]]

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


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

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


[User]
What is the rank of the matrix:
[[4, 8, 16, 16],
 [-4, -6, 2, 4],
 [-2, -1, 19, 22],
 [-1, -1, 5, 6]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[0, 3, -1, 26],
 [-6, -2, 10, -6],
 [-6, -2, -6, -10],
 [12, 4, -4, 16]]

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


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

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


[User]
What is the rank of the matrix:
[[-1, -9, 9, -7],
 [1, 9, -9, 7],
 [10, 18, -12, 4],
 [-3, -15, 14, -10]]?

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


[User]
Find the rank of the matrix:
[[8, 15, -5, -3],
 [8, -3, -17, -3],
 [-8, -9, 9, 3],
 [4, 4, 3, 3]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[22, 18, 6, 2],
 [-9, -8, -5, -1],
 [4, 6, 12, -4],
 [-11, -10, -7, -9]]

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


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

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[13, -1, 2, -5],
 [10, 14, 0, -5],
 [-20, -14, 7, 8],
 [7, -15, 16, -3]]?

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


[User]
Find the rank of the matrix:
[[-3, -6, 13, -9],
 [0, 0, -8, 12],
 [1, 2, -3, 1],
 [4, 8, -10, 1]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[0, -10, 10, -20],
 [-5, 5, -5, 0],
 [-5, 10, -10, 10],
 [-6, -2, 2, -16]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-4, 8, 14, 12],
 [19, 28, 16, 20],
 [1, -8, -11, -10],
 [14, 8, -4, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[-11, -9, -28, 13],
 [-10, -16, -20, 19],
 [-2, -9, -18, 8],
 [-8, 0, -16, 4]]

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


[User]
Find the rank of the matrix:
[[-7, -16, 4, -12],
 [2, -8, 0, 8],
 [4, 3, 4, 4],
 [4, -9, 10, 4]]

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


[User]
Calculate the rank of matrix A where A =
[[11, -4, -11, -5],
 [2, -8, -2, 2],
 [0, 10, 0, -4],
 [3, -12, -3, 3]]

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


[User]
Determine the rank of the following matrix:
[[21, -3, -15, 18],
 [-2, -4, 4, 0],
 [8, -4, -4, 8],
 [-5, 5, 1, -6]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-14, -10, -4, -12],
 [12, 10, -4, 8],
 [6, 7, -22, 4],
 [18, 13, 2, 16]]

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


[User]
Find the rank of the matrix:
[[4, -8, -10, -12],
 [-10, -16, 7, 12],
 [-4, 0, 6, 8],
 [-4, -8, 2, 4]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[5, -6, 13, -13],
 [16, -6, 11, -14],
 [15, 6, 3, 3],
 [0, 2, -33, 16]]

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


[User]
Calculate the rank of matrix A where A =
[[-2, -5, -9, -7],
 [16, 18, 17, 1],
 [-14, -17, -18, -4],
 [-2, 1, 6, 8]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[3, -2, -2, -4],
 [-5, -6, 5, 10],
 [1, 10, 8, -21],
 [10, -4, -10, -10]]

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


[User]
Determine the rank of the following matrix:
[[0, -3, 17, 6],
 [14, 4, -4, -22],
 [3, -3, 21, 3],
 [13, 2, 6, -17]]

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


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

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


[User]
Determine the rank of the following matrix:
[[10, -4, 2, -12],
 [8, -12, -4, -10],
 [3, -15, -6, 0],
 [-5, -8, -19, -17]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[12, 5, 22, 6],
 [29, -7, 6, 24],
 [5, 13, -2, -6],
 [-7, -9, -22, 0]]

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


[User]
Determine the rank of the following matrix:
[[11, -5, -3, -9],
 [6, -24, -4, -12],
 [17, 7, -3, -9],
 [0, -18, -2, -6]]

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


[User]
Find the rank of the matrix:
[[0, 12, 10, 2],
 [0, 10, 7, -9],
 [6, -19, -9, 17],
 [-6, 7, 1, -3]]

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[3, 0, 3, 8],
 [-9, 8, -9, -16],
 [12, -16, 12, 16],
 [3, -5, 3, 3]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[12, -12, 9, -12],
 [-4, -5, -6, 1],
 [-12, 24, -5, 16],
 [12, -6, 11, -10]]

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


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

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


[User]
What is the rank of the matrix:
[[9, -22, 20, 1],
 [-8, 20, 2, -8],
 [0, 1, -5, 2],
 [-7, -3, -3, -9]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[-15, 7, -9, 5],
 [21, -15, -3, -7],
 [-3, 1, -3, 1],
 [9, -1, 15, -3]]

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


[User]
Calculate the rank of matrix A where A =
[[0, 0, 12, 16],
 [-9, 12, -15, -5],
 [-6, 8, -9, -2],
 [-9, 12, -18, -9]]

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


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

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


[User]
What is the rank of the matrix:
[[18, -22, -24, -21],
 [-3, 2, 9, 6],
 [-6, 12, 10, 14],
 [6, 4, 6, 18]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[-6, -2, 4, 0],
 [2, 19, -5, -22],
 [-11, 2, 7, -8],
 [4, -8, -4, 16]]

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


[User]
Determine the rank of the following matrix:
[[11, 4, 13, 1],
 [-9, 2, -22, 11],
 [19, 8, 23, 9],
 [1, 8, -13, 21]]

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


[User]
What is the rank of the matrix:
[[-10, 1, 8, -13],
 [17, -5, -11, 18],
 [-8, 7, 1, -3],
 [-2, 1, 2, -1]]?

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[11, 16, -14, -11],
 [7, 8, -15, -14],
 [-23, -16, 15, -2],
 [-10, -20, 1, -3]]

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


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

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


[User]
Find the rank of the matrix:
[[-3, 3, 3, 6],
 [12, -12, -12, -24],
 [-9, 3, 9, 12],
 [0, 2, 0, 2]]

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


[User]
Find the rank of the matrix:
[[-2, 0, 1, -11],
 [-13, 20, -1, 11],
 [11, -18, 2, -15],
 [4, 0, 1, 17]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[5, 11, -2, -10],
 [-10, 5, 12, 1],
 [-3, 4, 8, -3],
 [-6, 1, -10, 9]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-6, -9, 6, -8],
 [8, -4, 16, 0],
 [-22, -13, -8, -16],
 [-14, -5, -10, -8]]

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


[User]
Calculate the rank of matrix A where A =
[[-16, 11, 7, 20],
 [-18, 12, 6, 24],
 [-12, -7, -22, -8],
 [-12, 3, -7, 12]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[9, 15, 0, 5],
 [5, -5, 16, 9],
 [-8, -19, 14, 3],
 [-20, 14, 20, 18]]?

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-12, 3, 13, 10],
 [-12, -1, 17, 18],
 [-16, 9, 19, 14],
 [-6, 1, 7, 6]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-14, 16, 4, 8],
 [-12, 8, 2, 4],
 [-22, 16, 4, 8],
 [-18, 12, 3, 6]]

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


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

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


[User]
Find the rank of the matrix:
[[12, -12, -6, 9],
 [-4, 0, 4, -6],
 [-16, 24, 4, -6],
 [-10, 8, 6, -9]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-3, 4, -5, -10],
 [6, 8, 2, -4],
 [9, 4, 7, 6],
 [-3, -6, 0, 5]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-6, 6, 15, -9],
 [-4, 10, -2, 18],
 [8, -13, -10, -8],
 [8, -13, -10, -8]]?

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


[User]
What is the rank of the matrix:
[[9, 0, 11, 9],
 [3, 4, 9, 7],
 [0, 3, 4, 3],
 [-6, 7, 2, 1]]?

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


[User]
Calculate the rank of matrix A where A =
[[-12, 3, 9, -9],
 [12, -3, -9, 9],
 [16, 4, 2, 8],
 [-12, -13, -19, -1]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-2, 13, -13, 8],
 [-8, -8, -4, 8],
 [-5, 0, -7, 7],
 [5, 15, -11, -1]]

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[2, -4, 19, 1],
 [8, 20, 4, -14],
 [0, 6, -12, -3],
 [-8, -24, 4, 16]]?

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


[User]
Calculate the rank of matrix A where A =
[[-14, -18, 7, 10],
 [-4, -2, -20, 6],
 [-12, -15, 3, 9],
 [8, 8, 12, -8]]

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


[User]
Determine the rank of the following matrix:
[[-14, 6, 2, 4],
 [-22, 2, 3, 0],
 [16, 4, 5, 17],
 [2, 2, 9, 18]]

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


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

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


[User]
Find the rank of the matrix:
[[9, 3, -5, -7],
 [9, 3, 23, -11],
 [-11, 3, 2, 22],
 [8, 8, 10, 2]]

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


[User]
Find the rank of the matrix:
[[14, 3, -24, 2],
 [15, 6, -26, 5],
 [14, 3, -16, 18],
 [7, 21, -20, 9]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[0, 12, 19, -9],
 [17, -17, 1, -10],
 [-16, 10, -7, 11],
 [-11, 23, 13, 2]]

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


[User]
Find the rank of the matrix:
[[8, -18, -1, -12],
 [6, -16, -2, -15],
 [-15, 4, 4, -20],
 [5, 10, -5, 18]]

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


[User]
Calculate the rank of matrix A where A =
[[17, 19, 4, -13],
 [7, -7, -6, 31],
 [0, 14, 20, 4],
 [16, 8, -8, -8]]

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


[User]
Calculate the rank of matrix A where A =
[[10, 4, -15, -7],
 [-6, -3, 12, 6],
 [-14, 13, -16, 14],
 [10, -12, 9, -19]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-6, 0, 4, -12],
 [4, 2, 4, 14],
 [1, -19, 8, -7],
 [1, 8, 8, 14]]

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


[User]
What is the rank of the matrix:
[[-23, -4, 20, 8],
 [24, 0, -22, -13],
 [10, 13, -2, -24],
 [-12, 8, 12, 26]]?

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-17, -13, 6, 4],
 [-18, -15, 1, 10],
 [-17, -13, 6, 4],
 [-13, -11, 0, 8]]

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


[User]
Calculate the rank of matrix A where A =
[[-12, -9, 3, 6],
 [-5, 8, 20, 9],
 [-6, -31, -36, -4],
 [-4, -16, -14, 4]]

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


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

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[0, -8, -1, -18],
 [-3, -9, 0, -15],
 [-4, -4, 1, -2],
 [10, 14, -2, 14]]?

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


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

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


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

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


[User]
Find the rank of the matrix:
[[2, 0, -10, -10],
 [4, 0, 18, 18],
 [-1, 0, 5, 5],
 [-8, 0, -17, -17]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[12, 15, 10, -9],
 [-8, 1, -3, 6],
 [-24, -12, -14, 18],
 [-16, -4, -8, 12]]

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


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

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


[User]
Determine the rank of the following matrix:
[[1, -6, -2, -2],
 [-27, -4, -4, -11],
 [-3, 7, 4, 5],
 [22, 8, 0, 2]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[8, -12, -36, 0],
 [-24, -21, 0, 15],
 [18, 27, 15, 0],
 [18, 27, 11, 9]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[10, 8, -10, 6],
 [21, -10, 0, 16],
 [-7, -14, 30, 20],
 [-14, 16, -6, -10]]

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[3, -23, 10, 11],
 [0, -36, 16, 16],
 [6, -28, 12, 14],
 [20, 0, -16, 8]]

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


[User]
What is the rank of the matrix:
[[5, -3, -1, 8],
 [-2, 10, 7, 10],
 [7, -1, 1, 16],
 [1, 1, 1, 4]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[13, 7, 11, 3],
 [-17, -29, 1, -1],
 [0, 3, -4, -1],
 [16, 16, 0, 0]]

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


[User]
What is the rank of the matrix:
[[-3, -12, 12, 0],
 [-14, -16, 11, 10],
 [-8, 0, -4, 8],
 [-4, -16, 16, 0]]?

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


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

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


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

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


[User]
Find the rank of the matrix:
[[6, 9, 3, -6],
 [-10, 2, -4, 8],
 [-5, 18, -1, 2],
 [-2, -3, -1, 2]]

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


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

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


[User]
Find the rank of the matrix:
[[8, -11, -5, -13],
 [7, 0, -1, 0],
 [36, -2, -2, 2],
 [4, 7, -1, 5]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[12, -6, 19, 1],
 [18, -2, 20, 8],
 [-4, 8, -16, 0],
 [-1, -8, 11, -3]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[2, -8, 6, -2],
 [-3, 12, -9, 3],
 [-1, 7, -5, -2],
 [0, -3, 2, 3]]?

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


[User]
Calculate the rank of matrix A where A =
[[16, 12, 12, -8],
 [2, -11, -5, 2],
 [-16, -12, -12, 8],
 [14, -2, 4, -4]]

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


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

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


[User]
Find the rank of the matrix:
[[-18, -10, -24, 12],
 [-11, 2, 5, 3],
 [-6, -1, -2, 2],
 [8, 0, -6, 10]]

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


[User]
Calculate the rank of matrix A where A =
[[-28, 0, 4, 20],
 [16, -6, -13, -11],
 [-1, -4, -7, 1],
 [-7, -14, -24, 6]]

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


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

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


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

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[13, -2, -4, 11],
 [3, 7, -10, 0],
 [-9, -12, 18, -3],
 [3, -16, 15, 8]]

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


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

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


[User]
What is the rank of the matrix:
[[1, 2, 3, 0],
 [-2, 4, -6, -8],
 [-8, 4, -24, -20],
 [-2, 0, -6, -4]]?

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


[User]
Calculate the rank of matrix A where A =
[[24, -16, -4, -8],
 [-16, 8, 0, 12],
 [-6, -8, -11, -6],
 [-12, 8, 2, 16]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[13, 13, -19, -16],
 [-9, -2, 9, 12],
 [-11, -13, 11, 8],
 [9, 11, -11, -8]]

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


[User]
What is the rank of the matrix:
[[-5, 0, 3, -11],
 [2, -1, 2, 21],
 [1, -7, 2, -7],
 [-10, -6, 12, -6]]?

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


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

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


[User]
Find the rank of the matrix:
[[-16, -20, 0, -4],
 [6, -6, 0, 12],
 [-6, -6, 8, -4],
 [-26, -16, 10, -21]]

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


[User]
Determine the rank of the following matrix:
[[3, -8, 0, -4],
 [2, 0, 0, 4],
 [6, -12, 0, -3],
 [-10, 28, 0, 15]]

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


[User]
Find the rank of the matrix:
[[10, 14, 25, 11],
 [8, 12, 2, 0],
 [0, 12, 30, 12],
 [12, 13, 28, 13]]

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


[User]
Determine the rank of the following matrix:
[[-4, 0, 5, 2],
 [1, 2, -3, -3],
 [-7, 18, -7, -19],
 [-6, 20, -10, -22]]

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


[User]
Determine the rank of the following matrix:
[[5, 6, 2, -11],
 [-16, -12, -16, 16],
 [13, 9, 14, -11],
 [10, 6, 12, -6]]

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


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

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


[User]
What is the rank of the matrix:
[[16, -10, 2, 1],
 [-18, 13, 3, -2],
 [1, -6, 9, 9],
 [0, 2, -2, -3]]?

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


[User]
Find the rank of the matrix:
[[-4, -8, -10, 9],
 [8, 16, 16, -12],
 [-8, -16, -18, 15],
 [-3, -6, -5, 3]]

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


[User]
What is the rank of the matrix:
[[1, -3, 6, 4],
 [-5, -2, 3, -8],
 [-1, -7, 9, -4],
 [16, -17, 27, 28]]?

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


[User]
Determine the rank of the following matrix:
[[-8, -10, -2, -8],
 [18, -1, 14, 20],
 [22, -10, 20, 12],
 [2, 6, 0, 20]]

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


[User]
Find the rank of the matrix:
[[0, 0, 0, 0],
 [8, -13, 12, 16],
 [-12, 16, -14, -20],
 [-22, 6, 1, -10]]

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


[User]
What is the rank of the matrix:
[[5, -6, -11, -6],
 [-4, -2, -4, -8],
 [-4, 8, 0, 3],
 [-16, 6, 4, -9]]?

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


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

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


[User]
What is the rank of the matrix:
[[-12, -2, 24, -4],
 [-10, -4, 17, -1],
 [24, -5, -16, -8],
 [7, 5, 4, -9]]?

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


[User]
Calculate the rank of matrix A where A =
[[-6, 19, -8, -8],
 [-15, 6, -11, 14],
 [18, 8, -3, -8],
 [0, -13, 2, 12]]

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


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

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-15, 10, -30, 22],
 [17, -12, 33, -24],
 [0, 12, 18, -20],
 [-6, 4, -12, 8]]

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


[User]
Find the rank of the matrix:
[[4, 5, 5, -1],
 [2, -8, -8, 17],
 [-6, -6, -6, -1],
 [-2, 5, 5, -12]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-4, 11, -4, 1],
 [19, -7, -3, -8],
 [-4, 10, -1, 9],
 [18, -5, -5, -12]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-7, 4, -7, 14],
 [-2, 0, -10, 12],
 [-8, 8, 16, -8],
 [-1, 0, -5, 6]]

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[24, 21, 24, 13],
 [-1, 7, 13, 5],
 [-24, 0, 12, 4],
 [-4, -17, -26, -15]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-12, -12, 8, 8],
 [12, 14, 4, -4],
 [-6, -8, 8, 8],
 [-18, -20, 10, 13]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[6, 0, -2, 1],
 [4, -7, -6, 10],
 [-6, -9, -4, 11],
 [-6, -3, 0, 3]]

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


[User]
What is the rank of the matrix:
[[-12, -8, -24, -4],
 [8, 10, 22, 3],
 [11, -16, -8, 2],
 [13, 4, 20, 4]]?

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


[User]
Determine the rank of the following matrix:
[[-11, -24, 24, 8],
 [-8, -8, 10, -15],
 [5, 7, -5, 8],
 [2, -2, 2, 14]]

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


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

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


[User]
Find the rank of the matrix:
[[-5, -12, -4, 16],
 [11, 13, -15, -28],
 [10, 15, -13, -28],
 [10, 0, -28, -18]]

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


[User]
Determine the rank of the following matrix:
[[-3, 9, 1, -21],
 [20, -8, -4, 12],
 [-4, 1, -5, 1],
 [16, -1, 4, -6]]

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


[User]
Calculate the rank of matrix A where A =
[[20, -11, 1, 5],
 [-2, 5, 4, -3],
 [12, 4, -8, 12],
 [6, 6, 2, 2]]

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


[User]
What is the rank of the matrix:
[[-24, -9, 19, 11],
 [21, 18, -10, -14],
 [-9, -9, 7, 11],
 [5, 17, 17, 5]]?

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[11, -7, 12, -10],
 [10, -6, 12, -8],
 [3, -3, 0, -6],
 [-8, 5, -9, 7]]

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


[User]
What is the rank of the matrix:
[[-3, 3, -4, -2],
 [0, -10, 8, -4],
 [-21, 6, -16, -20],
 [0, -15, 12, -6]]?

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


[User]
Determine the rank of the following matrix:
[[-5, 4, 11, 13],
 [5, 12, 13, -11],
 [-14, -12, 1, 6],
 [0, 8, 14, -10]]

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


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

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


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

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


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

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[0, -12, -6, 4],
 [-12, -8, -13, 7],
 [0, -2, -11, 12],
 [-9, 14, -1, 0]]?

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


[User]
Determine the rank of the following matrix:
[[5, -3, 11, 10],
 [13, -5, -3, 12],
 [-8, 2, -14, -14],
 [-22, -12, -2, -20]]

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


[User]
Find the rank of the matrix:
[[-8, -6, -9, 11],
 [16, 6, 8, 0],
 [-10, -2, -3, -5],
 [11, 25, -6, -5]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[6, -6, -9, -9],
 [12, -12, -15, -11],
 [-10, 10, 9, 1],
 [-7, 7, 9, 7]]

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


[User]
Calculate the rank of matrix A where A =
[[10, -11, 6, 5],
 [-8, 17, -24, 7],
 [-5, 17, -17, 0],
 [-12, -20, 24, -4]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[12, 20, 12, 12],
 [4, 12, 8, 8],
 [-7, -9, -5, -5],
 [-6, -10, -6, -6]]?

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


[User]
What is the rank of the matrix:
[[-15, 7, -8, 9],
 [-9, 3, -1, 10],
 [4, 6, -11, -9],
 [4, -8, 10, -2]]?

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


[User]
What is the rank of the matrix:
[[-3, -19, 8, 10],
 [-5, 2, 0, 3],
 [1, 10, 8, -23],
 [-2, -29, 20, 1]]?

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


[User]
Calculate the rank of matrix A where A =
[[6, -9, 11, -2],
 [-8, 2, -6, 4],
 [0, -15, 14, 1],
 [-13, 7, -12, 5]]

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


[User]
What is the rank of the matrix:
[[0, -16, 12, 4],
 [12, -4, -12, 16],
 [6, 2, -22, 7],
 [12, -4, -28, 16]]?

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


[User]
Determine the rank of the following matrix:
[[-13, 3, 18, 13],
 [11, -9, 9, -11],
 [-6, 12, 2, 6],
 [-1, 3, 4, 1]]

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


[User]
Find the rank of the matrix:
[[-2, 4, -2, -1],
 [5, -19, -1, -8],
 [1, -5, -1, -3],
 [7, -11, 9, 7]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[16, 12, 6, 18],
 [16, -8, 1, 3],
 [4, -11, -2, -6],
 [-12, 1, -2, -6]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[6, -9, -6, 7],
 [0, 0, -3, -2],
 [14, -11, 1, 13],
 [-10, -5, 1, 9]]

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


[User]
Calculate the rank of matrix A where A =
[[12, 9, 6, 3],
 [-2, 16, -22, -4],
 [6, -3, 12, 3],
 [2, -11, 16, 3]]

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


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

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


[User]
What is the rank of the matrix:
[[-6, -8, 15, 3],
 [-2, 20, 8, 0],
 [8, -4, -17, -5],
 [-2, 4, -10, 6]]?

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


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

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


[User]
Find the rank of the matrix:
[[4, 18, 16, -8],
 [-14, -12, -14, 10],
 [4, -16, -12, 4],
 [6, 10, 10, -6]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[0, 0, 0, 0],
 [-6, -5, 7, -6],
 [12, 11, -19, 12],
 [-16, -12, 12, -16]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-6, -10, -8, 8],
 [-12, 1, -2, 9],
 [-6, 2, 0, 4],
 [-15, -1, -4, 12]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[22, 0, -4, 9],
 [-16, -2, -4, -17],
 [-13, -13, -8, 1],
 [4, 18, 16, -2]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[7, -1, 20, -6],
 [-3, 3, -12, 3],
 [23, 7, 9, -4],
 [-11, -5, 6, -1]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[-2, 30, -6, -6],
 [-30, 2, -26, 14],
 [-7, 28, -10, 10],
 [-21, 0, -18, 26]]

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


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

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


[User]
What is the rank of the matrix:
[[-1, -6, 6, -8],
 [-6, 0, -9, -12],
 [6, 0, 9, 12],
 [9, -2, 16, 16]]?

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[7, -7, -18, 1],
 [8, -8, -15, 2],
 [-4, 4, -12, -4],
 [7, -7, -18, 1]]

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


[User]
Calculate the rank of matrix A where A =
[[2, 0, -2, -6],
 [-10, -6, -2, 9],
 [-17, -14, -11, 2],
 [-18, -14, -10, 5]]

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


[User]
Find the rank of the matrix:
[[20, 0, 24, 20],
 [-4, 1, -10, -4],
 [5, 0, 0, 5],
 [14, -11, 20, 14]]

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


[User]
What is the rank of the matrix:
[[7, -10, -6, -3],
 [-21, 6, 0, 15],
 [3, -2, -12, 3],
 [4, 10, 0, -2]]?

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


[User]
Determine the rank of the following matrix:
[[-8, -13, -7, 4],
 [3, -17, -8, 5],
 [0, -7, 2, 1],
 [-1, -4, -1, 1]]

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


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

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[4, -10, 0, -6],
 [-3, 7, 1, 4],
 [-2, 6, -2, 4],
 [4, -28, -4, -16]]

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


[User]
Determine the rank of the following matrix:
[[-20, 16, 4, 11],
 [8, -6, 18, -8],
 [2, 28, 10, -20],
 [3, -3, -14, 1]]

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


[User]
Find the rank of the matrix:
[[-16, 12, 12, 0],
 [-16, -12, -12, 18],
 [-8, 2, 2, 3],
 [-4, -5, -5, 6]]

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


[User]
Determine the rank of the following matrix:
[[25, -7, -10, 15],
 [13, -10, -10, -3],
 [6, -11, -4, 8],
 [-3, -7, -2, -5]]

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


[User]
Calculate the rank of matrix A where A =
[[25, 19, 1, -26],
 [1, 7, 19, -2],
 [24, 19, 20, -22],
 [-18, -15, 12, 22]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[8, 10, 0, 2],
 [-1, 0, -20, -24],
 [-5, 2, 8, 12],
 [3, 10, -16, -16]]

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[18, 15, 9, 4],
 [20, 14, 10, 0],
 [0, 0, 0, 0],
 [20, 14, 10, 0]]

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


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

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


[User]
Find the rank of the matrix:
[[-9, -15, -6, 0],
 [-2, 16, 14, -15],
 [-16, 4, 17, 13],
 [-7, -9, -3, -7]]

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


[User]
Find the rank of the matrix:
[[4, 0, 9, 3],
 [2, -5, 12, -1],
 [6, 5, 6, 7],
 [14, 13, 12, 17]]

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


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

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


[User]
What is the rank of the matrix:
[[-8, -1, -13, 0],
 [-17, -14, -11, 0],
 [-20, -20, -8, 0],
 [-8, -11, 1, 0]]?

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


[User]
Find the rank of the matrix:
[[-14, -15, 6, -13],
 [0, 0, 0, 0],
 [2, 6, 0, 4],
 [16, -6, -12, 2]]

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


[User]
Find the rank of the matrix:
[[-6, -6, -12, -6],
 [2, 10, 14, 6],
 [0, 16, 20, 8],
 [-8, 24, 24, 8]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-20, 0, 3, -2],
 [12, 12, -9, -6],
 [-8, -3, 3, 1],
 [20, 10, -9, -4]]

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


[User]
Determine the rank of the following matrix:
[[28, -24, -4, 12],
 [-28, 18, -2, -9],
 [-12, -4, -4, -4],
 [-21, 8, -7, -4]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-8, 2, 8, 3],
 [16, 8, 9, -14],
 [-4, 4, 11, 0],
 [5, 4, 20, 4]]

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


[User]
Calculate the rank of matrix A where A =
[[12, 5, 8, -12],
 [0, -3, -4, 0],
 [0, -3, -4, 0],
 [12, 11, 16, -12]]

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


[User]
Calculate the rank of matrix A where A =
[[16, -14, -12, -4],
 [-14, 11, 11, 3],
 [14, -6, -13, -1],
 [-16, 14, 12, 4]]

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-5, -17, -21, -3],
 [11, -4, 0, -3],
 [0, 8, 14, 5],
 [1, -19, -15, -1]]

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


[User]
Determine the rank of the following matrix:
[[12, -10, 2, 16],
 [8, -15, -2, 20],
 [11, -1, -3, 12],
 [5, 9, 1, -4]]

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


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

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[8, 10, -13, -6],
 [-4, 4, 8, 0],
 [5, 13, -7, -6],
 [3, 9, -4, -4]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[3, -1, 3, 3],
 [-5, -1, -12, -5],
 [-19, 17, 9, -19],
 [-4, 12, 24, -4]]

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


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

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


[User]
Find the rank of the matrix:
[[4, 4, -8, -12],
 [4, -5, 7, 18],
 [18, 3, -11, -4],
 [22, 1, -9, 4]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[9, -12, 12, -6],
 [13, -18, 18, -4],
 [-18, 20, -20, -4],
 [-22, 20, -20, -8]]

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


[User]
Calculate the rank of matrix A where A =
[[5, -22, 16, 10],
 [4, -12, 10, 6],
 [3, -2, 4, 2],
 [12, 6, 9, 3]]

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


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

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


[User]
What is the rank of the matrix:
[[12, 20, 18, 12],
 [-17, -12, 4, -3],
 [10, 12, 6, 6],
 [24, 26, 5, 12]]?

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


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

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


[User]
What is the rank of the matrix:
[[-4, 1, 15, -9],
 [7, -1, 1, 0],
 [-3, 3, 2, -3],
 [16, 6, 0, -4]]?

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


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

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


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

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


[User]
Find the rank of the matrix:
[[9, 20, 17, 31],
 [26, -2, 2, 5],
 [-7, 18, 16, 7],
 [-3, -12, -9, -23]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[6, -7, 7, 10],
 [13, -4, -6, -10],
 [-5, 4, -2, -3],
 [13, 2, -12, -25]]

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[12, 3, -3, -12],
 [4, 6, -4, -10],
 [32, -12, 4, -8],
 [8, -8, 4, 4]]

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


[User]
Calculate the rank of matrix A where A =
[[-4, 6, 12, -8],
 [7, -6, 3, 5],
 [-11, 9, -7, -7],
 [-8, 6, -8, -4]]

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


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

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


[User]
What is the rank of the matrix:
[[6, 2, 7, -14],
 [-1, 15, -1, -22],
 [-3, -11, -6, 20],
 [3, -5, 8, 8]]?

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


[User]
Find the rank of the matrix:
[[4, -28, -20, -32],
 [4, -4, 4, -8],
 [-2, 2, -2, 4],
 [4, -28, -20, -32]]

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


[User]
Determine the rank of the following matrix:
[[-14, 4, -20, 10],
 [16, -20, -8, -26],
 [22, -20, 4, -10],
 [0, -12, -24, -18]]

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


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

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


[User]
Find the rank of the matrix:
[[6, 6, -3, 12],
 [8, 8, -4, 16],
 [-5, -11, 1, -20],
 [-14, -2, 10, -8]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-4, -11, -7, 3],
 [-4, 16, -4, -12],
 [8, -5, 11, 9],
 [0, 0, 0, 0]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-11, 4, 4, -7],
 [7, -1, -22, 9],
 [-14, 4, 10, -8],
 [-13, 4, 13, -10]]

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


[User]
What is the rank of the matrix:
[[11, 3, 11, -15],
 [-19, -1, -5, 29],
 [-8, 6, -10, 26],
 [3, -2, 6, -10]]?

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


[User]
Determine the rank of the following matrix:
[[15, -24, -4, -22],
 [5, 7, -3, -4],
 [-4, -2, 2, 4],
 [-13, 25, 3, 20]]

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


[User]
Find the rank of the matrix:
[[10, 6, -2, -8],
 [-8, -24, 28, -8],
 [4, 12, -14, 4],
 [-4, -12, 14, -4]]

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


[User]
Calculate the rank of matrix A where A =
[[6, 4, 8, 4],
 [-14, 2, 12, 20],
 [-12, 9, 10, -4],
 [-8, -11, -20, -8]]

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


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

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-3, 3, -1, -4],
 [-1, 3, 2, -6],
 [-14, 9, -14, -14],
 [10, -6, 10, 8]]?

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


[User]
Calculate the rank of matrix A where A =
[[12, -10, 4, 2],
 [-28, 25, 4, -8],
 [-20, 16, -12, -2],
 [-8, 9, 16, -6]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-9, -6, 5, 17],
 [-9, 0, 7, 25],
 [-6, 5, -4, -2],
 [6, -1, -5, -18]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[4, -10, 22, 3],
 [4, -10, 26, -1],
 [-18, -18, 5, 19],
 [2, 10, -17, -3]]

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


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

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[8, 12, -17, -3],
 [8, -8, -2, -8],
 [16, 8, -22, -10],
 [8, 16, -20, -2]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[8, 2, 14, -9],
 [-24, -4, -20, 24],
 [6, -5, 7, -5],
 [16, -8, 15, -14]]

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


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

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


[User]
Find the rank of the matrix:
[[-8, -4, 8, 3],
 [-21, -6, 0, -4],
 [19, 8, -12, -3],
 [8, -2, 20, 2]]

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


[User]
Calculate the rank of matrix A where A =
[[-4, 11, 4, 18],
 [18, -9, -18, -12],
 [-2, 10, 2, 3],
 [-16, 2, 16, 5]]

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


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

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


[User]
Determine the rank of the following matrix:
[[1, -3, 9, 6],
 [1, 3, -3, 9],
 [7, 3, 6, 27],
 [15, 3, 3, 6]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-6, -1, -13, 20],
 [4, 12, 3, -2],
 [0, 8, -4, 8],
 [4, 0, 9, -14]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[3, 10, -6, 4],
 [7, 10, -16, -14],
 [10, 36, -4, -21],
 [-3, 2, 13, 4]]

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


[User]
What is the rank of the matrix:
[[-4, -9, 10, -5],
 [3, 1, 13, -5],
 [9, 16, -3, -10],
 [4, 12, -12, -20]]?

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[13, 5, -4, -5],
 [-8, -3, 8, 0],
 [-17, -22, -16, 16],
 [2, 19, 12, -5]]

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[10, 25, 4, 15],
 [4, -8, -9, -15],
 [-2, 4, -12, -15],
 [-12, -12, 8, 6]]?

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


[User]
Calculate the rank of matrix A where A =
[[-5, -3, 5, 2],
 [-13, -8, 14, 4],
 [-7, -5, 11, -2],
 [-12, -8, 16, 0]]

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


[User]
What is the rank of the matrix:
[[17, 17, 5, -15],
 [-14, -14, -4, 12],
 [-9, -9, -3, 9],
 [-1, -1, -1, 3]]?

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


[User]
Determine the rank of the following matrix:
[[13, 30, -16, -10],
 [3, 0, 9, -3],
 [22, 16, 16, -8],
 [4, 16, -8, -8]]

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


[User]
What is the rank of the matrix:
[[-1, -4, 2, -23],
 [-2, 4, -12, 10],
 [-3, 3, -11, 4],
 [-1, 3, -10, 7]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[16, -8, -16, 20],
 [-12, -12, -12, 9],
 [8, 5, 4, -2],
 [-12, -15, -16, 13]]

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


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

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


[User]
Determine the rank of the following matrix:
[[0, 0, 0, 0],
 [9, 0, -3, 3],
 [-7, 8, 9, -11],
 [0, 12, 10, -13]]

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


[User]
Find the rank of the matrix:
[[-1, 12, 20, -3],
 [-3, 4, 3, -3],
 [9, 6, -12, -5],
 [-18, -10, 9, 4]]

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


[User]
Find the rank of the matrix:
[[-18, 12, -6, -10],
 [-3, -3, 9, 10],
 [2, -6, 10, 12],
 [5, 3, -11, -12]]

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


[User]
Find the rank of the matrix:
[[0, 8, 13, 1],
 [-3, 4, -4, -4],
 [9, -12, 12, 12],
 [-1, -4, -10, -2]]

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


[User]
What is the rank of the matrix:
[[3, 4, -2, -7],
 [12, -8, 4, -4],
 [3, -12, 6, 9],
 [20, -16, 8, -4]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[-5, -2, -9, 0],
 [-25, -7, 6, 15],
 [-3, 0, 15, 6],
 [18, 5, -5, -11]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-3, 12, -8, 6],
 [-17, -4, -16, -14],
 [-4, -8, 0, -8],
 [9, 0, 10, 6]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[13, -5, 11, 1],
 [9, 6, 16, 16],
 [10, 2, 14, 13],
 [-10, 11, -3, 4]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-17, -6, -16, 20],
 [0, 9, -10, 4],
 [12, 0, 16, -16],
 [4, -6, 12, -8]]

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


[User]
What is the rank of the matrix:
[[-2, -22, 4, 22],
 [14, -2, 2, -4],
 [-6, 22, -6, -20],
 [-8, -7, -2, 7]]?

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


[User]
Calculate the rank of matrix A where A =
[[-7, -11, 10, 4],
 [8, -2, -17, 4],
 [25, -1, -13, -16],
 [20, -4, 5, -22]]

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


[User]
Find the rank of the matrix:
[[5, -4, -1, -11],
 [1, -4, -5, 5],
 [-4, 16, 20, -20],
 [5, -8, -7, -2]]

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


[User]
Calculate the rank of matrix A where A =
[[-3, 1, -1, -4],
 [13, -2, 0, 13],
 [10, 6, -14, -4],
 [0, 0, 0, 0]]

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


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

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


[User]
What is the rank of the matrix:
[[-8, 8, 16, -8],
 [-2, -6, -8, 10],
 [22, -6, -20, -2],
 [-18, 6, 18, 0]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[-5, 7, 4, -15],
 [2, -8, 14, -7],
 [-10, 22, -16, -10],
 [-4, 8, -4, -6]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-10, -13, 15, 0],
 [-10, -13, 15, 0],
 [-8, 4, -12, -12],
 [12, 18, -22, -2]]

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


[User]
Determine the rank of the following matrix:
[[-14, 2, 4, 13],
 [-14, 8, -12, 10],
 [20, -8, 8, -16],
 [9, -6, 10, -6]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-14, -8, -2, 10],
 [17, -4, -7, -13],
 [-2, -8, -5, 1],
 [12, -16, -14, -10]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[0, -1, 10, 16],
 [1, 0, -2, -4],
 [-17, 4, -6, 4],
 [3, 0, -6, -12]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-2, -11, -10, -1],
 [-10, -13, -25, -4],
 [-2, 15, 1, -10],
 [-5, 11, -6, -10]]?

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


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

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[12, 13, -25, -3],
 [-2, -12, 10, 8],
 [-2, -15, 13, 5],
 [3, -19, 10, 3]]

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


[User]
Calculate the rank of matrix A where A =
[[20, -13, -6, 8],
 [-14, -6, 10, 2],
 [0, 5, -8, 10],
 [-2, 21, -1, -23]]

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[18, -22, 12, 22],
 [-9, 2, 1, -3],
 [11, -5, 2, 1],
 [-13, 5, 0, -7]]

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


[User]
Calculate the rank of matrix A where A =
[[6, -7, 14, 14],
 [8, -12, -9, 6],
 [6, -1, 8, -3],
 [-4, 0, -3, 5]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-1, 6, 2, 4],
 [12, -12, -12, -8],
 [20, 0, -16, 0],
 [-12, -5, 9, 4]]

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


[User]
Calculate the rank of matrix A where A =
[[10, -2, 0, -4],
 [16, -12, 4, -8],
 [2, -7, 3, -2],
 [-19, 6, -1, 8]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[3, 3, 2, 2],
 [-9, 3, 10, -2],
 [-1, 4, 22, -3],
 [8, -2, -20, 5]]

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


[User]
What is the rank of the matrix:
[[-4, 0, 10, 8],
 [3, -7, -4, -20],
 [1, 7, -6, 12],
 [-7, -9, 22, -4]]?

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],
 [0, 0, 0, 0],
 [2, 0, -4, 0]]

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


[User]
Determine the rank of the following matrix:
[[30, 11, -18, 8],
 [-4, -14, -16, -12],
 [-8, -17, -14, -16],
 [-1, -12, -10, -16]]

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


[User]
Find the rank of the matrix:
[[-20, 28, 25, 15],
 [5, -4, -7, -3],
 [-2, 13, -5, 3],
 [7, -10, -12, -6]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[0, -15, 11, -1],
 [-8, 3, 1, 5],
 [6, -21, 13, -5],
 [20, 0, -8, -12]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-20, 9, -4, -12],
 [13, 14, 3, 16],
 [-13, 11, 5, 4],
 [-1, -26, 2, -8]]

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


[User]
What is the rank of the matrix:
[[4, -3, -4, -2],
 [20, 0, -5, -13],
 [8, -16, -18, -2],
 [-20, 10, 15, 11]]?

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


[User]
Calculate the rank of matrix A where A =
[[0, -16, -4, 8],
 [-3, 9, 6, -4],
 [-3, 5, 5, -2],
 [-3, -11, 1, 6]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[1, -15, -5, -6],
 [-19, 3, -17, 19],
 [13, -3, 12, -14],
 [-4, 20, 20, -4]]

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


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

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


[User]
Find the rank of the matrix:
[[4, 6, 12, -20],
 [-14, -8, -16, 18],
 [14, 6, 12, -10],
 [6, 0, 0, 6]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-16, -5, -28, 0],
 [-2, -11, 7, 2],
 [5, 4, -10, 4],
 [-7, -5, -22, 4]]

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


[User]
Find the rank of the matrix:
[[10, 4, -3, -8],
 [2, -8, 6, -6],
 [16, 16, -12, -8],
 [0, -8, 6, -4]]

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


[User]
What is the rank of the matrix:
[[6, -6, 6, -15],
 [-2, 2, 0, 1],
 [8, -8, 8, -20],
 [2, -2, -6, 11]]?

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


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

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


[User]
Find the rank of the matrix:
[[-3, -4, 0, -12],
 [-18, 20, 6, -6],
 [-11, 12, 12, 0],
 [4, 2, -13, 5]]

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


[User]
Find the rank of the matrix:
[[-8, -10, 6, -13],
 [0, 18, -18, -3],
 [-14, -10, 3, -24],
 [6, 0, 3, 11]]

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


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

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


[User]
What is the rank of the matrix:
[[11, -15, 7, -5],
 [-15, 14, -2, 8],
 [-20, 11, 21, -1],
 [-16, 12, 16, -4]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[-4, 12, -8, 16],
 [-5, 0, -7, 8],
 [2, -6, 4, -8],
 [1, 17, -2, 12]]

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


[User]
Find the rank of the matrix:
[[-6, -16, 2, -6],
 [5, 8, 9, 13],
 [-6, -20, 10, 0],
 [4, 16, -12, -4]]

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


[User]
Calculate the rank of matrix A where A =
[[5, 2, -11, 5],
 [3, 0, -5, 2],
 [16, -14, -8, -1],
 [11, -10, -5, -1]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-8, 6, -10, -10],
 [-6, 15, -11, 3],
 [-4, -3, -3, -11],
 [-4, 15, -9, 7]]

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


[User]
Calculate the rank of matrix A where A =
[[14, -6, 14, 5],
 [-10, -13, -10, 9],
 [-16, -1, -16, 0],
 [-4, 19, -4, -14]]

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


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

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


[User]
What is the rank of the matrix:
[[14, -2, 13, -12],
 [-3, 2, 8, -14],
 [-8, -2, -10, 6],
 [-2, -6, -7, 0]]?

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


[User]
Determine the rank of the following matrix:
[[10, 19, -8, -1],
 [-22, -13, -2, -1],
 [-2, -5, 17, -8],
 [22, 13, 9, -3]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[14, -8, -7, -18],
 [-2, -16, -19, -30],
 [-8, 4, 3, 6],
 [14, 6, 10, 15]]

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


[User]
Find the rank of the matrix:
[[6, 3, -11, -1],
 [11, 0, -9, -6],
 [15, -12, 7, -14],
 [-16, -21, 29, 10]]

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


[User]
Calculate the rank of matrix A where A =
[[5, -4, 4, -9],
 [-6, 3, -6, -12],
 [3, -8, -8, 27],
 [-4, -15, -30, 4]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-23, -21, -10, -15],
 [-4, -12, 36, -4],
 [28, 36, -18, 28],
 [10, 10, 16, 14]]

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


[User]
Calculate the rank of matrix A where A =
[[21, -18, 10, -6],
 [-13, 6, -9, -10],
 [12, -36, 17, -24],
 [-19, 32, -17, 16]]

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


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

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


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

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


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

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-3, 5, -2, -4],
 [14, -7, 4, 3],
 [20, -7, 3, 8],
 [-14, 2, 1, -11]]

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


[User]
What is the rank of the matrix:
[[-3, -15, -3, -18],
 [-12, -14, -18, 5],
 [8, 1, 7, -15],
 [-5, -3, -3, 5]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-15, -2, 3, 3],
 [11, 10, -5, 1],
 [-10, 4, 4, 2],
 [-12, 8, 18, -4]]

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


[User]
What is the rank of the matrix:
[[14, 8, 0, 24],
 [-14, 28, -5, -5],
 [-6, 12, 7, 7],
 [7, 28, -12, 16]]?

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


[User]
What is the rank of the matrix:
[[-13, -14, -6, 1],
 [-4, -2, 0, 1],
 [5, 0, -2, -2],
 [-12, -16, -8, 0]]?

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[2, 5, -16, -8],
 [0, 34, 1, -25],
 [-24, -14, -2, 26],
 [-10, 6, -12, 0]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[12, -8, 17, -16],
 [9, -6, 9, -7],
 [12, -8, 11, -8],
 [9, -6, 0, 5]]

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


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

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


[User]
Find the rank of the matrix:
[[9, 31, 7, -16],
 [6, -11, -2, 11],
 [-5, 6, 1, -7],
 [13, -14, 1, 7]]

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


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

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


[User]
Find the rank of the matrix:
[[26, 23, -21, 12],
 [29, 22, -11, 9],
 [14, 7, 1, -2],
 [4, 7, -9, 8]]

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


[User]
What is the rank of the matrix:
[[-10, -24, -11, -16],
 [-10, -24, -11, -16],
 [20, 4, 6, -4],
 [20, 4, 6, -4]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[-12, 0, -4, 4],
 [15, 2, 1, -1],
 [15, 4, -3, 3],
 [0, 3, -6, 6]]

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


[User]
What is the rank of the matrix:
[[-4, -6, -12, 24],
 [23, 1, 12, 2],
 [19, 6, 22, -14],
 [28, 4, 20, -8]]?

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


[User]
Determine the rank of the following matrix:
[[-12, -12, -10, 20],
 [-12, 5, 3, 0],
 [9, 14, 20, -25],
 [8, -8, 6, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[16, 16, 4, -4],
 [0, -16, -4, -20],
 [-12, -8, -2, 8],
 [0, 12, 3, 15]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-1, -10, 4, -4],
 [0, 18, -6, 6],
 [-3, 6, 0, 0],
 [-8, 25, -7, 2]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-1, 0, 15, 13],
 [-8, -16, 16, 0],
 [-12, -16, 12, -12],
 [6, 16, -18, -6]]

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


[User]
Find the rank of the matrix:
[[12, 0, 3, -9],
 [-4, -6, 9, -5],
 [0, 9, -15, 12],
 [20, 9, -10, -3]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-9, 0, -11, -2],
 [17, -11, 0, -6],
 [8, -2, 6, 0],
 [-12, 12, 8, 8]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-4, -10, 0, 12],
 [-9, -14, -7, -14],
 [-19, 0, -1, 10],
 [-18, -16, -8, -10]]

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


[User]
Calculate the rank of matrix A where A =
[[-18, 16, 13, -8],
 [4, -8, 6, -8],
 [6, 3, -21, 21],
 [14, -18, 1, -6]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-12, -12, 4, -6],
 [-4, -20, 0, -16],
 [18, 6, -28, -5],
 [0, 12, 4, 11]]

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


[User]
What is the rank of the matrix:
[[2, 2, 2, -5],
 [-4, -4, -4, 10],
 [0, -4, -2, 3],
 [-2, -10, -6, 11]]?

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


[User]
Find the rank of the matrix:
[[-1, 8, 13, 2],
 [21, -3, -3, -12],
 [-25, 2, 1, 14],
 [-9, 6, 9, 6]]

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


[User]
Find the rank of the matrix:
[[-7, 1, 1, 0],
 [-12, -5, -5, 7],
 [26, 18, 18, -22],
 [19, 12, 12, -13]]

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


[User]
Determine the rank of the following matrix:
[[-6, -5, 3, -11],
 [0, -4, 0, -1],
 [0, -16, 0, -4],
 [2, -5, -1, 2]]

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


[User]
Calculate the rank of matrix A where A =
[[-25, -15, -27, 20],
 [1, 15, 18, 10],
 [17, -1, 12, -26],
 [-16, -2, -16, 23]]

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


[User]
Calculate the rank of matrix A where A =
[[-18, 18, -6, 0],
 [-10, 3, 6, -21],
 [-16, 18, -8, 6],
 [20, -21, 8, -3]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-4, 0, -16, -12],
 [4, 0, 16, 12],
 [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:
[[-1, 3, -9, 14],
 [-7, 21, 9, 2],
 [-4, 12, 12, -8],
 [-2, 6, -3, 8]]?

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


[User]
Determine the rank of the following matrix:
[[10, 16, -8, -11],
 [-4, -4, 2, 2],
 [6, 12, -6, -9],
 [-2, -6, 3, 5]]

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


[User]
What is the rank of the matrix:
[[3, -2, 3, 1],
 [-1, 1, 0, -1],
 [16, -13, 9, 10],
 [1, 0, 3, -1]]?

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


[User]
Find the rank of the matrix:
[[-11, -17, -12, 20],
 [-18, 4, -6, 0],
 [18, -28, -12, 24],
 [15, -16, -12, 12]]

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


[User]
What is the rank of the matrix:
[[0, 4, 10, -3],
 [26, 15, -3, -10],
 [8, -1, -7, 6],
 [-20, -8, 16, 8]]?

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


[User]
Determine the rank of the following matrix:
[[20, 15, 0, 1],
 [-14, -6, -9, 2],
 [-14, -11, 1, -1],
 [8, 2, 8, -2]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[6, 12, -3, 12],
 [-14, 20, 3, 0],
 [2, -20, 1, -10],
 [8, -20, -1, -5]]

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


[User]
What is the rank of the matrix:
[[28, 18, 9, -10],
 [-8, 12, -4, -12],
 [-13, -18, -19, 23],
 [-2, -2, 14, -8]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-8, -17, -17, -25],
 [-20, 9, 1, 0],
 [2, -20, -11, -12],
 [0, 8, -2, -9]]

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


[User]
What is the rank of the matrix:
[[8, -6, 2, -2],
 [8, 0, 11, -11],
 [-4, 5, 2, -2],
 [12, -3, 12, -12]]?

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


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

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-7, 17, -2, 1],
 [4, -8, -16, -16],
 [0, -12, 8, -16],
 [14, -26, -20, -12]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[8, -22, 12, -9],
 [-6, 20, -9, 12],
 [-6, 4, -9, -12],
 [6, -8, 9, 6]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-12, -11, 11, 11],
 [-11, -5, 8, 10],
 [21, 10, -21, -11],
 [2, 7, 5, -15]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[0, 12, -13, 20],
 [0, 20, 4, 24],
 [0, -2, -7, 0],
 [0, 0, 11, -4]]?

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


[User]
Calculate the rank of matrix A where A =
[[1, -4, 10, 1],
 [2, -14, -6, 30],
 [-25, 22, -12, -21],
 [-9, 18, -8, -25]]

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


[User]
Determine the rank of the following matrix:
[[18, 14, 4, 18],
 [-6, -2, -4, -6],
 [-4, -12, 8, -4],
 [12, 12, 0, 12]]

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


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

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


[User]
Find the rank of the matrix:
[[-13, 8, -12, -24],
 [9, -5, 12, 13],
 [-4, 3, 0, -11],
 [13, 4, 21, 0]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-4, -20, 16, -7],
 [10, 8, -12, 14],
 [7, 8, -10, 10],
 [-4, 4, 0, -5]]?

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


[User]
What is the rank of the matrix:
[[-4, -1, -17, -10],
 [-8, 3, 1, -5],
 [8, -4, -8, 2],
 [28, -11, -7, 16]]?

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


[User]
Find the rank of the matrix:
[[-19, -25, 2, -8],
 [-11, 8, 19, 0],
 [18, -9, -3, -24],
 [-18, -18, 8, -8]]

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


[User]
Calculate the rank of matrix A where A =
[[11, 11, 12, -3],
 [-4, -26, 2, 20],
 [8, 26, 6, -16],
 [7, 23, 4, -15]]

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


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

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


[User]
Determine the rank of the following matrix:
[[4, 6, -2, -7],
 [10, 6, -8, -10],
 [-12, -18, 6, 21],
 [-3, -3, 2, 4]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[4, 3, 1, 4],
 [0, 4, 4, 12],
 [-20, -7, 3, 4],
 [4, -5, -7, -20]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-4, -2, 2, 8],
 [16, -4, 4, -12],
 [-8, -1, 1, 11],
 [20, 1, -1, -25]]

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


[User]
What is the rank of the matrix:
[[-8, 1, -3, -7],
 [-6, 1, -13, 25],
 [2, 6, 12, -22],
 [-5, -7, -10, 9]]?

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


[User]
What is the rank of the matrix:
[[8, 3, -12, 13],
 [0, -10, 8, -14],
 [8, -12, 0, -8],
 [-24, 16, 16, -4]]?

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


[User]
Find the rank of the matrix:
[[3, 0, -12, 15],
 [-1, -1, -9, 14],
 [0, 1, 13, -19],
 [11, 3, -5, -2]]

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


[User]
Find the rank of the matrix:
[[0, -12, 0, 14],
 [0, -9, -10, 8],
 [0, 3, -18, -8],
 [0, 0, -16, -4]]

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


[User]
Determine the rank of the following matrix:
[[-13, -4, 8, -8],
 [-11, -14, 22, -16],
 [-2, 1, -3, 0],
 [-9, -9, 3, -12]]

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


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

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-14, 1, 11, 5],
 [-4, -13, 1, -11],
 [23, -3, -21, -12],
 [-12, 7, 5, 5]]?

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


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

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


[User]
Find the rank of the matrix:
[[1, -14, -15, -3],
 [4, -8, -12, -12],
 [-5, 6, 11, 15],
 [-1, -2, -1, 3]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-14, 8, 1, 8],
 [8, -11, 11, -20],
 [-2, 4, -5, 8],
 [12, 1, -15, 12]]

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


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

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


[User]
What is the rank of the matrix:
[[8, -8, -7, -5],
 [-11, 12, 9, 8],
 [3, 4, -7, 6],
 [-11, 12, 9, 8]]?

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


[User]
Find the rank of the matrix:
[[4, -8, 12, 4],
 [-12, -6, -18, 9],
 [7, 16, 3, -14],
 [-10, -10, -12, 11]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-12, 18, -12, 0],
 [15, -15, 15, -3],
 [-16, 4, -16, 8],
 [12, -3, 12, -6]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[3, -14, -2, 2],
 [10, 9, -3, 6],
 [9, -15, -3, 24],
 [-7, 11, 2, -23]]

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


[User]
What is the rank of the matrix:
[[-20, 8, -2, -7],
 [17, 4, 8, 1],
 [22, -4, 4, 4],
 [1, 20, 10, -12]]?

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


[User]
Determine the rank of the following matrix:
[[-8, 13, -6, -20],
 [-14, -20, 23, -4],
 [2, -14, -5, 20],
 [-10, -3, -7, -4]]

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


[User]
Calculate the rank of matrix A where A =
[[1, -2, 0, -5],
 [-15, -6, -12, 19],
 [6, 6, 6, -2],
 [7, 16, -6, 9]]

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


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

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


[User]
Find the rank of the matrix:
[[8, 2, -2, 4],
 [-1, -19, -11, 2],
 [2, -7, -5, 2],
 [13, -8, -10, 8]]

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


[User]
What is the rank of the matrix:
[[-9, 5, -1, 7],
 [-24, 25, -11, 2],
 [-9, 12, -6, -3],
 [28, -28, 12, -4]]?

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


[User]
Calculate the rank of matrix A where A =
[[-6, 13, 5, 6],
 [10, -9, -2, -4],
 [2, -10, -4, -6],
 [-18, -8, -1, -24]]

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


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

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-4, 2, -4, -6],
 [0, 0, 0, 0],
 [2, -1, 2, 3],
 [4, -2, 4, 6]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-16, -5, 16, 8],
 [22, 8, -4, -8],
 [30, 14, -6, -6],
 [-7, -9, 13, -7]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-10, 34, -16, 28],
 [-10, -18, 4, -12],
 [-14, -15, 3, -10],
 [11, -3, 9, -8]]

Present the answer in LaTex format: \boxed{Your answer}