[User]
What is the rank of the matrix:
[[24, -6, -6, 19],
 [12, -5, -8, -2],
 [-8, -3, 0, -10],
 [-10, 2, 2, -9]]?

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-24, -4, 7, -5],
 [24, -16, -20, 10],
 [20, -12, -17, 14],
 [-8, 16, 14, -8]]

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


[User]
Find the rank of the matrix:
[[12, 11, -6, 5],
 [-8, 1, -19, -9],
 [8, 6, -9, 3],
 [0, -8, 5, 3]]

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


[User]
What is the rank of the matrix:
[[-12, -6, 18, 0],
 [-4, 0, 10, -3],
 [-8, -10, 0, 9],
 [12, 16, 2, -15]]?

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


[User]
Determine the rank of the following matrix:
[[0, 13, 14, -3],
 [0, -6, -8, 6],
 [0, -1, 2, -9],
 [0, -4, -8, 12]]

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


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

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


[User]
What is the rank of the matrix:
[[-19, 9, 8, -5],
 [-10, 12, 7, 0],
 [18, -12, -15, 12],
 [0, 0, 0, 0]]?

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


[User]
Determine the rank of the following matrix:
[[1, 11, 28, 2],
 [6, -3, -8, -5],
 [8, -2, -12, -11],
 [11, -2, -8, -10]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[0, -10, 16, -2],
 [0, -12, 24, -6],
 [0, 8, -20, 7],
 [0, 1, 8, -7]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[4, -4, -1, -7],
 [-6, 8, 19, 7],
 [-18, 0, 7, -1],
 [15, 6, 0, 9]]

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


[User]
Determine the rank of the following matrix:
[[-10, 8, -6, 16],
 [0, -12, -1, -4],
 [14, 5, -4, -6],
 [-7, -18, 3, -4]]

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


[User]
Find the rank of the matrix:
[[-3, 10, 7, -5],
 [-3, 10, 7, -5],
 [-1, 7, 3, -4],
 [0, 22, 4, -14]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[15, -6, 0, 12],
 [1, 13, 7, 13],
 [4, 0, -11, 0],
 [4, -2, 18, 10]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-10, 6, 17, 20],
 [11, 0, 12, 4],
 [7, -3, -10, -12],
 [17, -9, 0, -12]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-14, 20, -2, 4],
 [19, -8, -10, 4],
 [-25, 12, 5, 4],
 [14, 8, -5, -4]]

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


[User]
Find the rank of the matrix:
[[-3, -20, -14, -4],
 [-10, -10, 5, 19],
 [13, 22, 7, -13],
 [-8, -10, 11, 25]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-4, -3, -15, -4],
 [4, 1, 21, 4],
 [-4, -4, -12, -4],
 [-3, -2, -12, -3]]

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


[User]
Determine the rank of the following matrix:
[[11, -10, 4, -7],
 [-10, 12, -4, 10],
 [-14, 20, -6, 18],
 [6, -12, 3, -12]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[8, -14, 12, -2],
 [-4, 16, -8, 4],
 [4, 2, 4, 2],
 [-7, 10, -10, 1]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-8, 0, 10, -3],
 [15, 1, -7, 12],
 [5, -1, 8, 15],
 [1, 3, 12, 3]]

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


[User]
Find the rank of the matrix:
[[-8, -3, -9, -7],
 [-16, -1, -11, -5],
 [-20, 0, -12, -4],
 [18, -2, 8, 0]]

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


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

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


[User]
What is the rank of the matrix:
[[-9, 6, -3, -12],
 [9, 0, 1, 12],
 [24, -4, 4, 32],
 [-36, -5, -10, -38]]?

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-4, 2, 24, 16],
 [-10, -1, -2, -3],
 [6, -13, 14, 1],
 [12, 8, -4, 4]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[4, -12, -10, -7],
 [5, -16, -14, -7],
 [11, -20, -8, -10],
 [-5, 16, 14, 3]]

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


[User]
Determine the rank of the following matrix:
[[7, -1, -2, -11],
 [3, -3, -6, -6],
 [6, -8, -16, -2],
 [4, 2, 4, -16]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-9, 2, 4, -25],
 [6, 2, -6, 10],
 [-9, -5, -3, -10],
 [-24, -8, 24, -40]]

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


[User]
What is the rank of the matrix:
[[0, 0, 0, 0],
 [-8, 14, -1, -22],
 [12, 9, 4, -2],
 [13, 11, 8, 5]]?

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


[User]
Determine the rank of the following matrix:
[[-4, -1, 9, 4],
 [-7, 10, 16, 9],
 [-9, -3, 9, -9],
 [10, -16, -14, 1]]

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


[User]
Calculate the rank of matrix A where A =
[[-12, 22, 9, 12],
 [-12, 16, 0, 12],
 [-9, 18, 9, 9],
 [9, -16, -6, -9]]

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


[User]
What is the rank of the matrix:
[[5, 8, 7, 22],
 [2, -6, 12, 16],
 [-2, -5, 7, -6],
 [1, 15, 0, -4]]?

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


[User]
Determine the rank of the following matrix:
[[-19, 3, 24, 30],
 [-14, -2, 24, 15],
 [-1, 0, 3, -3],
 [3, 2, -7, -2]]

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


[User]
What is the rank of the matrix:
[[0, 16, -8, -20],
 [-19, -3, -12, 10],
 [9, -13, 12, 14],
 [23, -9, 28, -2]]?

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-16, -16, -12, -8],
 [0, 10, 1, -8],
 [-8, 2, -5, -12],
 [-4, -8, 17, 6]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[4, -1, -2, 3],
 [20, 6, -16, 10],
 [12, -3, -6, 9],
 [5, 7, -7, 0]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[6, -12, 9, 9],
 [-6, 12, -9, -9],
 [-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:
[[1, -11, -4, -5],
 [-9, -2, 6, -1],
 [8, -7, 16, 5],
 [-5, -4, 8, 0]]?

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


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

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


[User]
What is the rank of the matrix:
[[23, 15, -19, -7],
 [-3, 19, -15, -7],
 [-2, -7, 8, 0],
 [7, 10, -11, -3]]?

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


[User]
Calculate the rank of matrix A where A =
[[8, 16, -28, -12],
 [2, -4, 15, 5],
 [-20, -12, -7, 2],
 [8, 12, -17, -8]]

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


[User]
What is the rank of the matrix:
[[0, -13, -20, 0],
 [-12, 0, 8, -2],
 [6, -7, -14, 6],
 [18, -4, -18, 4]]?

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[3, -6, 9, 12],
 [-10, -4, -6, 0],
 [-4, -16, 12, 24],
 [-3, 6, -9, -12]]

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


[User]
Find the rank of the matrix:
[[-12, 10, -6, 2],
 [0, 8, 30, -14],
 [-18, 8, -14, 10],
 [-6, 2, 7, 1]]

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


[User]
Calculate the rank of matrix A where A =
[[-5, -1, -7, -14],
 [4, 2, 2, -8],
 [-2, 8, 20, -12],
 [2, 6, 19, 4]]

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-4, 4, -4, 24],
 [-4, 0, -2, 20],
 [0, -4, 2, -4],
 [-1, -13, 6, -8]]

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


[User]
Calculate the rank of matrix A where A =
[[-18, 12, -12, 13],
 [4, 8, 26, 8],
 [26, -14, -8, -19],
 [-30, 0, 6, 9]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[12, -14, -11, 15],
 [-6, 0, -5, -11],
 [12, -4, 4, 20],
 [9, -13, -12, 10]]

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


[User]
Determine the rank of the following matrix:
[[-14, -18, 17, 9],
 [-16, -20, 20, 12],
 [6, 6, -9, -9],
 [-2, 0, 5, 9]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-2, -19, 9, -22],
 [14, 8, 12, 4],
 [0, -5, 3, -6],
 [-2, -4, 0, -4]]

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


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

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


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

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-5, -15, -22, -26],
 [9, -12, -9, -12],
 [-14, 10, -16, -16],
 [-20, -8, -4, -4]]

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


[User]
Find the rank of the matrix:
[[7, 1, -4, -5],
 [8, 2, -8, -2],
 [10, 1, 11, 1],
 [-24, -3, -9, 5]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-4, 16, 11, 25],
 [-8, -18, -4, 0],
 [8, -12, -9, -17],
 [8, -2, -6, -18]]

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-13, 14, 13, 4],
 [-1, -2, 1, -12],
 [13, -14, -13, -4],
 [12, -12, -12, 0]]

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


[User]
Find the rank of the matrix:
[[-13, -14, -9, -7],
 [-19, -8, -9, -31],
 [11, 12, -3, 11],
 [0, 6, -6, -6]]

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


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

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


[User]
Determine the rank of the following matrix:
[[0, -18, 4, -8],
 [9, 0, 20, -10],
 [-1, 14, 4, -9],
 [-16, 8, -20, -9]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[4, 7, 24, -29],
 [0, 26, 15, -16],
 [-4, 19, -9, 13],
 [-22, 20, 3, -4]]

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


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

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


[User]
Find the rank of the matrix:
[[-4, -18, 9, -10],
 [28, 6, -15, -2],
 [12, 4, -7, 0],
 [-16, -12, 12, -4]]

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[12, -12, -12, 26],
 [-8, 10, 21, -31],
 [13, -5, 17, -10],
 [-15, 3, 3, 0]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-5, 10, 4, -2],
 [0, -20, -32, -2],
 [-10, 0, 12, 6],
 [-5, 0, -12, -3]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[8, 24, 8, 16],
 [14, -26, 9, 0],
 [0, -5, -2, 11],
 [-6, 8, -4, -2]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[6, -13, -4, -2],
 [-4, -17, -16, -8],
 [4, 28, 24, 12],
 [-7, 6, -2, -1]]

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


[User]
Find the rank of the matrix:
[[7, 1, 2, -2],
 [10, 14, 12, 2],
 [-9, 25, 16, 13],
 [-20, -8, -10, 4]]

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


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

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


[User]
What is the rank of the matrix:
[[-6, 31, 38, -26],
 [9, -21, -24, 15],
 [-14, 14, 14, -7],
 [4, 11, 14, -10]]?

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


[User]
Determine the rank of the following matrix:
[[2, 2, -7, -7],
 [6, -6, 12, 12],
 [12, 4, -20, -20],
 [-12, 8, -13, -13]]

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


[User]
Find the rank of the matrix:
[[-4, -5, -5, -6],
 [-16, -10, -10, -4],
 [12, 3, 3, -6],
 [0, -8, -8, -16]]

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[17, -3, 4, -15],
 [25, -15, -13, -30],
 [-10, -2, -4, 6],
 [2, -2, 2, -3]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[3, -9, 20, -11],
 [6, -18, 0, -12],
 [6, -18, 8, -14],
 [-2, 6, 8, 2]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[12, -15, 8, 8],
 [-8, 5, -4, -9],
 [-1, -19, 6, 0],
 [0, -11, 4, 5]]

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[12, -12, 8, 8],
 [16, -16, 12, 6],
 [-10, 10, -12, 12],
 [19, -19, 18, -6]]

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


[User]
Find the rank of the matrix:
[[-8, 6, -15, -4],
 [-2, 5, -2, -1],
 [0, -3, 3, 5],
 [16, -7, 19, -7]]

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


[User]
Find the rank of the matrix:
[[-15, -14, -18, -2],
 [-3, 6, 6, 12],
 [-9, -6, -12, -6],
 [11, 0, 2, -13]]

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


[User]
Calculate the rank of matrix A where A =
[[-4, 3, 1, -4],
 [-28, 21, 10, -7],
 [-24, 18, 9, -3],
 [-24, 18, 8, -10]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[10, -6, 25, 18],
 [8, -1, 20, 16],
 [12, 15, 9, 0],
 [2, 2, 3, 2]]

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


[User]
What is the rank of the matrix:
[[-3, -12, 12, 10],
 [6, -6, 0, -2],
 [18, 2, -16, -18],
 [0, 0, 0, 0]]?

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-6, 4, 4, 2],
 [-7, 7, 8, -1],
 [0, 0, -4, -10],
 [2, 0, -4, -14]]

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


[User]
Determine the rank of the following matrix:
[[-8, -6, -8, -4],
 [-12, -13, -13, -3],
 [4, -1, 3, 5],
 [-8, -6, -8, -4]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-3, 1, -5, -13],
 [22, -6, 4, 2],
 [-17, 7, 11, 13],
 [-4, 0, -6, -4]]

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


[User]
Calculate the rank of matrix A where A =
[[20, 19, -14, 5],
 [-10, 4, -20, -19],
 [20, 28, 16, 26],
 [4, -10, 22, 16]]

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


[User]
Find the rank of the matrix:
[[10, -5, 16, 20],
 [10, 10, 2, -24],
 [10, 0, 13, 9],
 [6, -12, -4, -10]]

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


[User]
Determine the rank of the following matrix:
[[-1, -14, 6, -5],
 [-15, 6, 6, 7],
 [-8, 8, -8, 4],
 [-6, 12, 2, 7]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[6, -21, 10, 9],
 [2, 29, -8, -7],
 [8, -16, 1, -3],
 [-12, -15, 1, 2]]

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


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

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


[User]
Find the rank of the matrix:
[[-4, 20, -20, 20],
 [16, 10, -15, 15],
 [-13, -7, 11, -11],
 [13, 7, -11, 11]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[4, 0, -4, -4],
 [0, -16, -4, 20],
 [-14, 12, 17, -1],
 [-2, -8, 0, 12]]

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


[User]
Determine the rank of the following matrix:
[[8, 4, -2, -6],
 [12, 20, 8, 4],
 [0, -14, -11, -13],
 [-6, 4, 7, 11]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-3, 12, 9, 7],
 [3, -3, 0, -13],
 [0, 3, 3, -2],
 [-1, 6, 5, 1]]

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


[User]
What is the rank of the matrix:
[[-8, -2, -9, 26],
 [-2, 2, -3, 6],
 [-2, -4, -6, 36],
 [8, -2, 7, -6]]?

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[13, -9, -6, 2],
 [20, -16, 8, -12],
 [-19, 15, -6, 10],
 [14, -11, 4, -7]]

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


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

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


[User]
What is the rank of the matrix:
[[-28, 8, -12, 4],
 [12, 4, 4, -16],
 [-8, -7, -2, 19],
 [-3, -1, -1, 4]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[8, 1, 13, 2],
 [16, 5, 5, 10],
 [-8, -5, 15, -10],
 [-28, -10, 0, -20]]

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


[User]
Determine the rank of the following matrix:
[[2, 3, 3, -6],
 [-2, 3, 0, -2],
 [-10, -9, -12, 22],
 [0, 12, 6, -16]]

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


[User]
Determine the rank of the following matrix:
[[2, 3, -4, 2],
 [2, 3, -4, 2],
 [6, 9, -12, 6],
 [-2, -21, 4, -22]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[2, 1, -2, -7],
 [-3, -4, 18, 8],
 [-2, 2, -16, 10],
 [-1, -2, 10, 2]]

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


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

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-8, 0, -8, -3],
 [-6, -3, -9, -9],
 [24, -4, 20, 0],
 [16, -4, 12, -3]]?

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


[User]
Determine the rank of the following matrix:
[[1, -1, 4, 1],
 [-15, 7, -28, 9],
 [7, -14, 4, 2],
 [0, -2, 0, 2]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-4, -4, -4, 12],
 [-2, -11, -9, -8],
 [-17, 1, -8, 24],
 [-6, -6, -10, -26]]

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


[User]
Determine the rank of the following matrix:
[[2, 1, -10, -7],
 [-10, -5, -4, -10],
 [10, 5, -2, 5],
 [12, 6, 0, 8]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-4, -20, -17, -11],
 [5, -8, -9, -11],
 [-2, 20, 19, 17],
 [-9, -12, -8, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[-8, -21, -28, -8],
 [-17, 3, -6, -7],
 [2, 2, -4, -10],
 [0, 27, 26, -1]]

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


[User]
Find the rank of the matrix:
[[-7, -16, 15, -9],
 [1, 3, -4, 2],
 [-10, -20, 14, -10],
 [-13, -19, 0, -6]]

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


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

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[3, -5, 2, -6],
 [4, -16, -22, 10],
 [-1, -2, 5, 6],
 [-8, 17, 19, 6]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[6, -9, -2, -9],
 [-6, -18, 16, -18],
 [8, -7, -2, 9],
 [-6, -1, 8, 3]]?

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


[User]
Determine the rank of the following matrix:
[[3, -9, -2, -3],
 [-14, 6, 27, 21],
 [-24, 21, 40, 33],
 [-12, -2, 15, 9]]

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


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

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


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

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-10, -12, -27, 2],
 [-6, -9, -9, 6],
 [-6, -11, -1, -10],
 [-8, -14, -4, -8]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-10, 2, -6, -4],
 [11, 1, -3, 6],
 [15, 1, -3, 8],
 [-2, -2, 6, -2]]

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


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

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


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

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


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

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


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

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


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

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


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

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, 6, 0, -2],
 [-6, 6, 0, -2]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-20, -16, -20, 20],
 [-5, -7, -5, 5],
 [-17, -13, -17, 17],
 [8, 10, 8, -8]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[13, 22, 2, 15],
 [36, 16, -2, -8],
 [-9, 7, 4, 2],
 [-5, -8, -4, 19]]

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


[User]
Calculate the rank of matrix A where A =
[[4, 20, 8, 2],
 [6, 17, 9, 0],
 [-4, 26, 10, 0],
 [24, 1, 3, 5]]

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


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

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


[User]
What is the rank of the matrix:
[[-10, 21, 1, 20],
 [6, -7, -5, -10],
 [16, -4, -23, -14],
 [-4, 14, -7, -2]]?

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


[User]
What is the rank of the matrix:
[[-4, -4, 0, 4],
 [-29, -19, -11, 4],
 [-6, -2, -7, 9],
 [-9, -3, -8, 1]]?

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


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

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[15, 10, -1, -7],
 [0, 2, 6, -18],
 [-10, -6, 0, 0],
 [7, 6, 1, -14]]?

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[7, -8, -11, 8],
 [-3, 2, 2, 0],
 [6, -4, 0, 16],
 [12, -16, -27, 4]]

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


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

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


[User]
What is the rank of the matrix:
[[4, -10, 8, 14],
 [-6, 8, 2, 0],
 [10, -16, 2, 8],
 [-4, 6, 0, -2]]?

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[8, -16, 22, -14],
 [-2, -6, 6, -2],
 [-28, 28, -40, 28],
 [-31, 3, -15, 19]]

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


[User]
Calculate the rank of matrix A where A =
[[-5, 3, -9, 6],
 [8, -6, 12, -8],
 [-13, 12, -15, 10],
 [4, -3, 6, -4]]

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


[User]
What is the rank of the matrix:
[[14, 6, 1, 1],
 [-25, -1, -18, -15],
 [-8, -2, -1, -2],
 [-6, -4, 0, 1]]?

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


[User]
Find the rank of the matrix:
[[11, 9, 17, -11],
 [-7, 12, -4, 2],
 [-6, -10, -18, 14],
 [3, 10, -6, 8]]

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


[User]
What is the rank of the matrix:
[[-14, -1, 11, -5],
 [20, -19, -24, 14],
 [8, 9, 2, -2],
 [12, 0, -6, 3]]?

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


[User]
Calculate the rank of matrix A where A =
[[-4, 8, -4, 0],
 [-7, 20, -8, 4],
 [7, -20, 8, -4],
 [5, -4, 4, 4]]

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


[User]
Find the rank of the matrix:
[[8, -24, -12, -8],
 [22, -3, 16, 6],
 [6, 0, 5, 2],
 [-6, 9, 2, 2]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-16, 23, 34, -1],
 [-2, 14, 14, 0],
 [-8, -2, 8, 1],
 [6, 0, -6, 0]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[5, 3, -9, 7],
 [9, 5, -6, -15],
 [-17, -21, 6, 11],
 [-19, -19, 18, -5]]?

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


[User]
Find the rank of the matrix:
[[20, -2, -8, -5],
 [24, 8, -10, 0],
 [24, 20, -6, 8],
 [-8, 7, -16, 1]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-4, -8, -4, 8],
 [-3, 6, -6, 9],
 [3, 2, 4, -7],
 [-1, -18, 3, -2]]

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


[User]
What is the rank of the matrix:
[[-9, -9, 0, 0],
 [-2, 1, -2, -3],
 [-13, -7, -4, -6],
 [20, 8, 8, 12]]?

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


[User]
Find the rank of the matrix:
[[6, 13, -5, 8],
 [-8, -6, -9, 4],
 [5, 12, 12, -1],
 [-5, 14, -6, 13]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-21, 0, 3, -6],
 [16, -9, 5, -1],
 [1, -15, 12, -9],
 [16, -9, 5, -1]]?

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-12, -4, 16, 8],
 [-12, -4, 16, 8],
 [-9, -3, 12, 6],
 [0, 0, 0, 0]]?

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[12, 11, 6, -11],
 [11, 12, -3, -18],
 [-2, 10, 2, 16],
 [-20, -22, -10, 15]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-8, -10, 9, 16],
 [24, 0, 8, -8],
 [8, -2, 5, 0],
 [4, 14, -15, -20]]

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


[User]
Determine the rank of the following matrix:
[[26, -11, -4, -11],
 [-15, 10, -16, 15],
 [8, -13, -2, -13],
 [-4, 16, -28, 24]]

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


[User]
Determine the rank of the following matrix:
[[-7, 20, 4, 1],
 [3, -22, -15, -9],
 [0, 6, 9, 12],
 [-2, 16, 14, 14]]

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


[User]
What is the rank of the matrix:
[[-9, -2, 9, -1],
 [-18, 4, 18, -10],
 [6, 0, -6, 2],
 [0, 16, 0, -16]]?

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


[User]
What is the rank of the matrix:
[[1, -16, -9, -2],
 [5, -20, -12, 2],
 [-2, -8, -4, -4],
 [0, 0, 0, 0]]?

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


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

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


[User]
Find the rank of the matrix:
[[-3, -2, -1, -16],
 [-20, -1, 0, 14],
 [-24, -3, -3, 10],
 [24, 10, 17, 4]]

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


[User]
Calculate the rank of matrix A where A =
[[-2, -13, 3, -10],
 [9, -26, 7, -6],
 [-3, -14, 4, 0],
 [-14, 13, -4, -4]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-6, 4, -1, -11],
 [-13, 2, -8, -13],
 [-4, -8, -10, 10],
 [6, -4, 1, 11]]

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


[User]
Calculate the rank of matrix A where A =
[[-5, 1, 6, 4],
 [-5, 2, -8, 3],
 [19, -4, -20, -15],
 [8, -1, -18, -7]]

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


[User]
Determine the rank of the following matrix:
[[6, -6, 12, -10],
 [-8, 9, -14, 14],
 [-5, 3, -14, 7],
 [2, -3, 2, -4]]

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


[User]
Calculate the rank of matrix A where A =
[[-14, 8, 6, 16],
 [11, 4, -7, 8],
 [15, -6, -7, -12],
 [-1, 7, -1, 14]]

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


[User]
Determine the rank of the following matrix:
[[4, 10, -3, -13],
 [-3, -3, -4, 21],
 [-13, -14, 5, -13],
 [-6, 6, -16, 30]]

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


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

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


[User]
What is the rank of the matrix:
[[1, 9, -12, 20],
 [-14, -11, 20, 0],
 [-18, 10, 8, -8],
 [-14, 3, 12, -16]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[8, -13, 13, -17],
 [14, -7, -11, -5],
 [-4, -4, 16, -8],
 [12, -2, -18, 2]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-11, -16, 6, 19],
 [-14, -8, -20, 6],
 [-1, -4, 20, 15],
 [-2, -16, 12, 10]]

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


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

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


[User]
What is the rank of the matrix:
[[0, 4, -4, -6],
 [-9, -4, 7, 6],
 [3, 6, -7, -9],
 [-15, -8, 13, 12]]?

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


[User]
Determine the rank of the following matrix:
[[-4, -14, -2, -3],
 [-5, -11, -5, 9],
 [5, 5, -5, -6],
 [3, 11, 14, -12]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-12, -8, -4, 16],
 [-9, 2, -1, -2],
 [21, 2, 4, -7],
 [0, 4, 1, -7]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[28, -11, -28, 4],
 [-4, 2, 4, -20],
 [-22, 6, 22, 14],
 [-6, 9, 6, 6]]?

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-2, 10, -19, 6],
 [0, -8, 20, -8],
 [-2, 2, 1, -2],
 [16, -24, 12, 8]]

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


[User]
Calculate the rank of matrix A where A =
[[-6, 2, -9, 6],
 [-7, -1, 1, 10],
 [-2, -6, 18, 4],
 [-3, 3, -11, 2]]

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


[User]
What is the rank of the matrix:
[[18, 11, 2, -3],
 [-16, -5, 8, 11],
 [34, 17, 4, -5],
 [-4, 5, -21, -19]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[5, 4, 6, 25],
 [-2, 8, 12, 14],
 [5, 4, 6, 25],
 [6, -8, -12, -2]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-4, -12, -6, -14],
 [-8, -12, -6, 2],
 [0, -6, -3, -15],
 [-12, -18, -9, 3]]

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


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

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


[User]
What is the rank of the matrix:
[[10, 9, 7, -8],
 [3, -5, -10, -9],
 [-12, -1, 7, 18],
 [0, -7, -11, -6]]?

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


[User]
Find the rank of the matrix:
[[-8, -3, 28, 19],
 [-9, 31, 6, 4],
 [9, -15, -18, -12],
 [6, -27, 0, 1]]

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


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

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],
 [-2, -4, 4, 0],
 [-4, -8, 8, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[7, -19, 11, -32],
 [-4, -5, 7, 0],
 [11, -17, 13, -16],
 [-30, -3, 9, -4]]

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


[User]
What is the rank of the matrix:
[[6, 14, -4, -6],
 [-2, -3, 4, 2],
 [7, 8, -18, -7],
 [3, 2, -10, -3]]?

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


[User]
What is the rank of the matrix:
[[-23, -9, 5, -4],
 [-9, -6, 4, 5],
 [-2, 0, -4, -1],
 [1, -12, 10, 33]]?

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


[User]
Find the rank of the matrix:
[[-2, 1, -8, -2],
 [18, 2, 3, -13],
 [17, 2, 5, -11],
 [-11, -4, -2, 6]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[20, -20, -8, -8],
 [8, -13, -11, -17],
 [5, -10, 1, 7],
 [-18, 8, 6, 10]]?

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


[User]
Determine the rank of the following matrix:
[[-6, 8, -4, -18],
 [9, 4, -2, 27],
 [3, 12, -6, 9],
 [-14, -24, 4, -18]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[10, -12, -4, -10],
 [16, -12, -4, -4],
 [0, 0, 0, 0],
 [22, -12, -4, 2]]

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


[User]
What is the rank of the matrix:
[[8, -20, 3, 1],
 [0, -18, -3, 7],
 [13, 10, 7, -15],
 [-3, 7, 8, 0]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[1, 9, -16, 8],
 [19, 5, -2, -8],
 [14, 2, 8, -24],
 [-4, 0, -2, 4]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[13, -2, 11, 8],
 [-4, 20, -12, -40],
 [-19, 0, -17, -10],
 [16, -3, 20, 22]]

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


[User]
Find the rank of the matrix:
[[-1, -6, 3, -5],
 [17, 2, 17, 5],
 [20, 0, 16, 18],
 [10, 10, 12, -10]]

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


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

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[1, -8, -12, 16],
 [10, -20, -24, 16],
 [2, -1, 0, -4],
 [8, -14, -16, 8]]

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


[User]
Determine the rank of the following matrix:
[[22, 19, 20, -19],
 [-2, 8, -23, 1],
 [24, 12, 14, -24],
 [22, 11, 6, -23]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[24, 13, -24, -11],
 [20, -2, -15, -10],
 [4, 1, -6, 3],
 [-18, -1, 16, 6]]

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


[User]
What is the rank of the matrix:
[[23, 2, 20, -10],
 [-18, 23, -6, 12],
 [-9, -8, -12, 4],
 [5, 11, 2, 6]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[2, -8, 16, 8],
 [11, 4, 16, 8],
 [4, 8, -4, -2],
 [-2, 0, -4, -2]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-20, 2, 16, -4],
 [-3, 1, 4, 1],
 [-3, -6, -12, -15],
 [-5, -3, -4, -9]]?

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-6, 4, 9, 7],
 [-2, -2, -2, 4],
 [-10, 2, 8, 14],
 [8, -8, -16, -8]]

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


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

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-22, 16, 10, -4],
 [21, -12, -3, 6],
 [9, -12, -15, -2],
 [-12, 12, 12, 0]]

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


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

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


[User]
What is the rank of the matrix:
[[0, 6, -4, -2],
 [12, 0, -11, -7],
 [4, -8, -13, -7],
 [16, 7, -32, -18]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[20, -10, 8, -10],
 [0, 0, -3, 0],
 [12, -6, 3, -6],
 [-4, 2, -1, 2]]

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


[User]
Find the rank of the matrix:
[[12, 0, 15, 18],
 [25, -35, -19, 0],
 [-8, 16, 14, 6],
 [-24, 20, 3, -11]]

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


[User]
What is the rank of the matrix:
[[-2, 0, -2, -8],
 [3, -14, -11, 12],
 [1, -15, -16, 16],
 [-8, 7, -7, 4]]?

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


[User]
Calculate the rank of matrix A where A =
[[-2, -8, -12, 0],
 [-3, -2, -10, -15],
 [-2, 2, 1, -5],
 [0, -10, -9, 13]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-22, 2, 0, -4],
 [-21, -3, 6, -9],
 [0, -18, 22, -19],
 [16, -8, 8, -4]]

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


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

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


[User]
What is the rank of the matrix:
[[-8, 19, -1, 2],
 [0, -6, 2, 4],
 [-2, 7, -1, -1],
 [-6, 24, -4, -5]]?

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-22, -8, -4, -12],
 [4, 3, 2, 1],
 [-13, 3, 4, -13],
 [-13, 3, 4, -13]]

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


[User]
Determine the rank of the following matrix:
[[-3, -14, -15, 9],
 [6, 15, 9, -11],
 [-5, -11, -4, 8],
 [12, 20, 6, -18]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-7, 11, -6, -13],
 [7, -11, 6, 13],
 [-5, 19, -12, -17],
 [2, 8, -6, -4]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-20, 11, 23, -18],
 [10, 1, -2, -11],
 [2, -2, 10, 20],
 [19, -3, -12, -7]]?

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


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

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


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

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


[User]
What is the rank of the matrix:
[[4, -4, -8, -2],
 [-9, -8, 0, 19],
 [-13, 16, 28, 7],
 [8, -12, -17, -9]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-6, 7, 2, -2],
 [-1, 2, 3, 1],
 [11, -12, -1, 5],
 [11, -7, 15, 13]]

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


[User]
Determine the rank of the following matrix:
[[-19, -2, 5, 2],
 [3, -10, 12, -2],
 [-7, 0, 1, 2],
 [14, 4, -7, -4]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-21, -5, -23, 7],
 [-25, -13, -18, 14],
 [0, -19, 5, -21],
 [-4, -5, -1, 1]]

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


[User]
Calculate the rank of matrix A where A =
[[-7, -10, 18, 7],
 [-3, 1, -14, -11],
 [-11, 1, -20, -15],
 [-9, 1, -4, -1]]

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


[User]
What is the rank of the matrix:
[[-7, 6, 4, -5],
 [21, -18, -20, 20],
 [-8, 11, 18, -11],
 [-6, 8, 16, -10]]?

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


[User]
What is the rank of the matrix:
[[-8, -5, -13, -2],
 [18, 2, -19, -8],
 [-16, 6, 6, 4],
 [-10, -24, -5, 1]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[-8, 12, 8, -12],
 [-2, 14, 0, -10],
 [-1, 7, 0, -5],
 [-2, 14, 0, -10]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-2, -6, 4, 8],
 [-11, 7, -10, -2],
 [-14, 9, -9, 4],
 [3, -6, 3, 0]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[15, 0, 5, -9],
 [2, 7, -4, 3],
 [11, 1, 3, -6],
 [1, -4, 3, -3]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[13, 14, -11, -13],
 [-6, -8, 6, 6],
 [-6, -8, 6, 6],
 [8, 9, -7, -8]]

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


[User]
Find the rank of the matrix:
[[-8, -26, -8, -7],
 [-3, 26, 5, 5],
 [-11, -28, -9, -8],
 [16, 16, -8, 8]]

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


[User]
Find the rank of the matrix:
[[3, -1, 10, 9],
 [-9, -3, -4, 11],
 [-4, 0, -10, -6],
 [15, 7, 12, -17]]

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


[User]
Find the rank of the matrix:
[[8, -6, 12, -8],
 [12, -4, 12, -16],
 [5, -5, 9, -4],
 [-1, 2, -3, 0]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[20, 4, -22, -9],
 [12, 32, -8, -12],
 [14, 4, -14, -3],
 [1, -12, -4, 0]]

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


[User]
Determine the rank of the following matrix:
[[16, 2, 8, -2],
 [7, 9, 11, -2],
 [-12, -21, -24, 3],
 [-11, 10, 5, 7]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-5, 0, 9, 3],
 [-3, -10, -3, 7],
 [-1, -16, 6, 1],
 [-21, -6, 21, 21]]?

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


[User]
Find the rank of the matrix:
[[-1, 20, -18, 3],
 [3, 12, -18, -9],
 [-14, -4, 2, -13],
 [17, -2, -2, 4]]

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


[User]
What is the rank of the matrix:
[[-6, -3, 8, -13],
 [-5, -9, -15, 13],
 [-4, -3, 2, -5],
 [1, -3, -13, 15]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[5, 10, 3, 3],
 [-9, -18, 0, 0],
 [3, 1, 10, 15],
 [-9, -28, -7, 3]]

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


[User]
Determine the rank of the following matrix:
[[4, 2, 10, 10],
 [6, 12, 12, 12],
 [24, -18, 14, 14],
 [-4, -8, -6, -6]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-2, 11, 26, 3],
 [-2, 7, 19, 2],
 [-20, -14, 5, 9],
 [-10, 11, 15, 14]]?

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


[User]
Find the rank of the matrix:
[[4, -3, -5, -23],
 [-8, 0, 6, -3],
 [-5, 3, 5, -4],
 [1, -16, -8, -9]]

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-2, -12, -1, 6],
 [17, -8, 24, 25],
 [12, -8, 17, 16],
 [-13, -14, -16, -11]]

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


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

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


[User]
Find the rank of the matrix:
[[12, 0, 6, -9],
 [10, -6, 8, -4],
 [-10, -18, 4, 18],
 [-4, 0, -2, 3]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-14, 2, -7, -6],
 [10, 17, -8, -16],
 [18, -3, 8, 8],
 [14, 14, 7, -10]]

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


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

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-2, 0, 10, 2],
 [-20, -17, -2, 20],
 [-12, -11, -6, 12],
 [-14, -12, -2, 14]]?

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


[User]
Determine the rank of the following matrix:
[[-16, 12, 2, -5],
 [8, 20, 22, 9],
 [-8, -18, -16, -11],
 [4, 14, 12, 7]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-10, 1, 9, 6],
 [10, 12, -22, -18],
 [-7, -11, 18, 15],
 [1, 9, -10, -9]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[2, 16, 6, 4],
 [-1, -16, -7, -8],
 [0, -12, -6, -9],
 [-2, 4, 4, 11]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-6, 3, 16, 18],
 [-20, 24, -12, 4],
 [7, -9, 7, 1],
 [-14, 18, -14, -2]]

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


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

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


[User]
Determine the rank of the following matrix:
[[0, 2, 4, 12],
 [0, -3, -6, -18],
 [-3, 1, 1, 8],
 [15, 3, 11, 8]]

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


[User]
Determine the rank of the following matrix:
[[6, 4, -18, -2],
 [-23, -9, 4, 23],
 [20, 7, -28, -11],
 [-14, 4, -8, 8]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-6, -18, 0, 9],
 [6, 8, -6, 9],
 [-5, -10, -9, 12],
 [-5, 10, 3, -24]]

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],
 [-3, 9, 9, -9],
 [2, -6, -6, 6]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[11, -6, -16, 8],
 [-3, -4, 7, -10],
 [4, 5, -7, 12],
 [-9, 4, -1, -2]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[23, 18, -9, 5],
 [-8, -19, 8, 9],
 [9, 14, 5, -13],
 [-25, -15, 4, -6]]?

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


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

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


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

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


[User]
Find the rank of the matrix:
[[16, 3, -19, 17],
 [16, -5, -23, 15],
 [8, 9, -17, 11],
 [8, -4, -28, 8]]

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


[User]
Determine the rank of the following matrix:
[[-14, -24, 4, 9],
 [0, -3, -24, -12],
 [4, 4, -24, -14],
 [6, 10, -4, -5]]

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


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

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


[User]
What is the rank of the matrix:
[[8, 0, -20, -4],
 [15, -21, 1, -11],
 [-13, 21, -6, 10],
 [-11, 15, 0, 8]]?

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-12, 0, -10, 4],
 [24, 15, 14, 1],
 [4, 4, 1, 15],
 [16, 9, 11, -24]]

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


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

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


[User]
What is the rank of the matrix:
[[-16, 16, 8, -3],
 [-1, -17, -16, -3],
 [0, 11, 9, 7],
 [-12, 4, 0, -10]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[0, -24, 0, 8],
 [-8, -16, 8, 0],
 [2, -8, -2, 4],
 [6, 24, -6, -4]]

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


[User]
Determine the rank of the following matrix:
[[16, 2, -5, -14],
 [0, 18, -24, -6],
 [-32, 32, -20, -8],
 [8, -8, 5, 2]]

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


[User]
What is the rank of the matrix:
[[-21, 4, 14, 15],
 [21, -1, 1, -18],
 [-16, 3, 11, 9],
 [-15, 1, 2, 7]]?

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


[User]
Calculate the rank of matrix A where A =
[[10, -10, 0, 4],
 [12, -6, 3, -3],
 [-2, 6, 2, -6],
 [25, 8, -8, 7]]

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


[User]
Find the rank of the matrix:
[[1, 6, -16, 1],
 [-2, 8, 2, 28],
 [1, 0, 2, 25],
 [-3, 2, 12, 5]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-8, 8, 3, -10],
 [-24, 10, 15, -12],
 [-8, -13, 6, 13],
 [-20, 6, 15, -6]]

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


[User]
Calculate the rank of matrix A where A =
[[1, -4, -13, 0],
 [-1, 11, -2, 4],
 [2, 1, -10, -3],
 [-1, 5, -4, 4]]

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


[User]
Calculate the rank of matrix A where A =
[[-6, 0, 2, -8],
 [-10, 6, -6, -6],
 [-6, 0, 2, -8],
 [-11, 12, -15, 0]]

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


[User]
Determine the rank of the following matrix:
[[-4, -2, 3, 3],
 [-9, -7, 6, 8],
 [-4, -2, 3, 3],
 [18, 14, -12, -16]]

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


[User]
Find the rank of the matrix:
[[16, -12, -12, 12],
 [21, -16, -4, 14],
 [14, -12, -2, 10],
 [4, 2, -21, 3]]

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


[User]
Calculate the rank of matrix A where A =
[[0, 9, -8, 3],
 [6, -9, 3, -9],
 [6, -12, 7, 0],
 [-8, 14, -6, 11]]

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


[User]
Find the rank of the matrix:
[[0, -9, -6, 0],
 [-4, -17, 24, 2],
 [-7, 8, 19, -22],
 [0, 36, -10, -18]]

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


[User]
What is the rank of the matrix:
[[-2, -4, -7, 0],
 [2, -10, -14, -14],
 [4, 0, -10, 8],
 [-4, -4, -17, 16]]?

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-2, 0, 0, 6],
 [-8, 16, 8, -8],
 [5, -12, -6, 9],
 [5, -16, -8, 17]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[3, 7, -5, -12],
 [3, 1, -20, -21],
 [12, 12, -4, -24],
 [1, -1, -3, -3]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[1, -4, -1, 6],
 [12, 9, -24, -22],
 [-26, 14, -4, 12],
 [-16, 4, 16, 8]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-8, 8, -12, -12],
 [4, 10, -15, -21],
 [-9, -12, 20, 32],
 [-4, 32, -32, -20]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[5, -1, -9, 5],
 [-19, -13, 18, -4],
 [-8, -11, -1, -1],
 [-15, -23, 1, 7]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[18, -12, -2, -18],
 [3, 8, 3, 2],
 [15, -8, -1, -14],
 [15, 4, 3, -8]]

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


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

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[5, 2, 0, 2],
 [17, -4, -3, -1],
 [16, 10, 1, 9],
 [7, 10, 2, 8]]

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-5, -1, 8, 5],
 [-8, 2, -6, 0],
 [-24, 8, -8, 16],
 [7, -3, 4, -5]]?

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


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

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


[User]
Find the rank of the matrix:
[[-23, 15, -9, 1],
 [10, -15, -12, 4],
 [15, -7, 21, -9],
 [11, -17, -6, -1]]

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


[User]
Determine the rank of the following matrix:
[[22, 12, -12, -12],
 [28, 7, -10, -15],
 [-16, 19, 6, 1],
 [-3, -19, 0, 8]]

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


[User]
What is the rank of the matrix:
[[5, 5, -4, 12],
 [-8, -6, 5, -17],
 [-12, 16, -10, 2],
 [-9, -3, 3, -15]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[4, -14, 10, -1],
 [21, -12, -9, -19],
 [-8, 0, 8, 9],
 [8, -16, 8, -4]]

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


[User]
What is the rank of the matrix:
[[-8, 18, 8, 18],
 [-11, 7, 4, 9],
 [-12, 0, 6, 8],
 [1, 0, 2, 2]]?

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-14, 10, 16, -9],
 [8, 8, -14, 7],
 [-10, 8, 6, -14],
 [22, -2, -24, 25]]

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


[User]
What is the rank of the matrix:
[[0, 16, 0, -10],
 [28, -16, 28, 0],
 [-8, 16, -8, -7],
 [12, -28, 12, 15]]?

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


[User]
Find the rank of the matrix:
[[-6, 10, 5, 7],
 [6, -18, -21, -3],
 [2, -6, -7, -1],
 [-8, 22, 24, 5]]

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


[User]
Calculate the rank of matrix A where A =
[[1, -2, -3, -4],
 [-3, -2, 1, 10],
 [4, -12, -16, -17],
 [-4, 12, 16, 17]]

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


[User]
Find the rank of the matrix:
[[1, -27, 13, 17],
 [4, -9, -1, 4],
 [11, 11, -9, -9],
 [7, -33, 11, 19]]

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


[User]
Calculate the rank of matrix A where A =
[[-16, -20, 20, -8],
 [4, 7, -11, 0],
 [-12, -10, 0, -11],
 [-16, -14, 2, -14]]

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


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

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[24, -16, 14, 3],
 [8, -4, 6, 7],
 [-1, -6, -2, -17],
 [-8, 13, -2, 21]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[-2, 11, -4, 14],
 [7, -1, 18, -18],
 [-15, 2, -15, 23],
 [4, -8, 18, -22]]

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


[User]
Determine the rank of the following matrix:
[[-32, -9, -3, 6],
 [-14, -1, 6, -9],
 [0, 9, -12, 4],
 [16, -4, 0, 8]]

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


[User]
Calculate the rank of matrix A where A =
[[8, -12, -2, 14],
 [-20, 9, 5, -7],
 [12, -9, -3, 9],
 [-4, 0, 1, 1]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-4, -6, -14, 0],
 [3, 8, 18, 3],
 [0, 0, 0, 0],
 [8, 12, 28, 0]]

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


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

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


[User]
Determine the rank of the following matrix:
[[12, -9, -17, 15],
 [3, 1, -4, -1],
 [15, 2, -20, 0],
 [-24, 4, 32, -12]]

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


[User]
Calculate the rank of matrix A where A =
[[0, 0, 0, 0],
 [-16, 8, -16, 0],
 [-12, -18, 12, 0],
 [-20, -14, 4, 0]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[10, -7, -16, 9],
 [-6, 5, 12, -12],
 [-3, -4, 0, -3],
 [-1, -7, -8, 12]]?

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


[User]
Find the rank of the matrix:
[[-11, 4, -5, 23],
 [-4, 0, -16, 8],
 [6, -8, -26, -10],
 [3, -8, -17, -1]]

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


[User]
Calculate the rank of matrix A where A =
[[12, -3, 3, 9],
 [-8, 16, 12, -12],
 [0, -7, -7, 3],
 [10, -13, -8, 12]]

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


[User]
Determine the rank of the following matrix:
[[10, -13, -4, -6],
 [-14, 16, 8, 8],
 [8, -6, -8, -4],
 [-6, -1, 12, 2]]

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


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

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


[User]
Find the rank of the matrix:
[[9, 9, 12, 19],
 [5, 5, 28, 7],
 [6, 6, -12, 16],
 [4, 4, -16, 12]]

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


[User]
Determine the rank of the following matrix:
[[10, -11, 4, 6],
 [0, -15, -12, 12],
 [1, -8, -2, 3],
 [11, 11, 20, -9]]

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


[User]
Calculate the rank of matrix A where A =
[[1, 14, 1, -3],
 [-7, 12, 5, 3],
 [-13, 10, 11, 9],
 [-6, -12, 10, 10]]

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


[User]
Calculate the rank of matrix A where A =
[[-15, 1, 1, 12],
 [3, 11, -5, 4],
 [-3, 24, -10, 16],
 [-12, -9, 5, 4]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-4, 4, -1, -5],
 [16, 16, 14, -7],
 [-4, -8, -15, 0],
 [-8, -10, -6, 6]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[4, -12, -16, -16],
 [12, 26, 13, 18],
 [14, -3, -5, -7],
 [20, 26, 2, 10]]

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


[User]
Find the rank of the matrix:
[[2, 0, -3, 1],
 [-2, 12, 3, 11],
 [11, -2, -15, 1],
 [14, 4, -15, 1]]

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


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

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


[User]
What is the rank of the matrix:
[[0, 5, 3, 2],
 [2, -19, -13, -8],
 [-14, 13, 19, 8],
 [2, -4, -4, -2]]?

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[16, 0, 10, 12],
 [4, 14, -2, -20],
 [-3, 0, 3, 18],
 [-4, 2, -5, -14]]

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


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

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


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

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


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

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[10, -10, -12, 14],
 [-21, 19, 26, -25],
 [20, 5, -18, 21],
 [0, 2, 0, -2]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[3, 18, -21, 9],
 [1, -8, 10, -5],
 [-2, -12, 14, -6],
 [1, 20, -24, 11]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-14, 1, -15, 9],
 [-14, 6, -13, 5],
 [16, -14, 12, 0],
 [-18, 12, -15, 3]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-9, 0, 6, 12],
 [-15, -3, 10, 5],
 [6, -1, -4, -13],
 [-12, 0, 8, 16]]

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


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

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


[User]
Determine the rank of the following matrix:
[[5, 4, -1, -4],
 [11, 9, -3, -9],
 [2, 22, 20, -22],
 [-4, -6, -5, 6]]

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


[User]
Calculate the rank of matrix A where A =
[[-10, -7, -1, 6],
 [0, 0, 0, 0],
 [10, 19, 7, -22],
 [-10, -7, -1, 6]]

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


[User]
Calculate the rank of matrix A where A =
[[-16, 5, -8, -5],
 [-19, -7, -8, 4],
 [-16, -7, 1, 4],
 [-17, -7, -2, 4]]

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-6, 10, -4, 6],
 [-4, 8, 0, 16],
 [-2, 5, 2, 17],
 [12, -20, 8, -12]]

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


[User]
Determine the rank of the following matrix:
[[-2, -6, -30, 24],
 [1, 6, 19, -17],
 [-5, -2, 1, -2],
 [-2, -4, 10, -5]]

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


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

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


[User]
What is the rank of the matrix:
[[-18, 12, 6, -5],
 [21, 5, -10, 7],
 [-29, 7, 12, -11],
 [-12, 6, 6, -13]]?

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


[User]
Calculate the rank of matrix A where A =
[[-5, -13, 0, -3],
 [-9, -26, -3, -10],
 [3, 9, 3, 12],
 [-7, -18, 2, 5]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[8, 2, 8, 6],
 [14, -2, 8, 12],
 [10, -3, 4, 9],
 [-8, 9, 4, -9]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[4, 5, -9, -6],
 [4, 7, -15, -10],
 [12, 7, -3, -2],
 [-16, -12, 12, 8]]

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


[User]
Calculate the rank of matrix A where A =
[[-12, -7, 9, -5],
 [-8, -10, 6, 2],
 [0, 6, 0, -6],
 [0, -2, 0, 2]]

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


[User]
Calculate the rank of matrix A where A =
[[-6, -8, 8, -6],
 [18, -1, -17, 12],
 [-10, 20, 4, -2],
 [-3, -4, 4, -3]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[23, 4, -19, 26],
 [8, 4, -8, 6],
 [4, 2, -2, 3],
 [11, 4, -15, 10]]

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


[User]
Calculate the rank of matrix A where A =
[[0, -9, -9, -9],
 [-16, -15, 13, -7],
 [12, 12, -9, 6],
 [4, 9, 2, 7]]

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


[User]
Determine the rank of the following matrix:
[[-2, 10, -2, 8],
 [28, 12, 12, 8],
 [-24, -13, -20, -14],
 [-8, 2, -16, -4]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-12, -14, -28, -9],
 [3, 0, 0, 4],
 [9, 10, 20, 7],
 [6, -4, -8, 10]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[8, 19, 15, -13],
 [3, -21, -18, 12],
 [-1, 7, 6, -4],
 [-17, -6, -3, 7]]

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


[User]
Determine the rank of the following matrix:
[[-25, -4, 4, -2],
 [7, 7, -14, 7],
 [2, -1, -2, 1],
 [-11, 17, -10, 5]]

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


[User]
Determine the rank of the following matrix:
[[10, -8, -10, -16],
 [5, -12, -10, -4],
 [6, 0, -3, -12],
 [-6, 0, 3, 12]]

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


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

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


[User]
What is the rank of the matrix:
[[-21, 19, 0, 5],
 [14, -12, 9, 4],
 [-25, 15, 3, -11],
 [10, -8, 6, 4]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[33, 18, -25, -9],
 [-15, -14, 7, 5],
 [-8, -6, 4, 4],
 [17, 6, -17, -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],
 [-9, -9, 6, 3],
 [3, 3, -2, -1]]

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


[User]
Find the rank of the matrix:
[[9, 10, 5, -21],
 [-15, -2, -7, -9],
 [-3, 0, 3, -3],
 [-16, -8, -8, 8]]

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


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

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


[User]
Determine the rank of the following matrix:
[[8, -2, 0, -15],
 [-13, -17, -12, 0],
 [2, 4, 4, 4],
 [-7, 22, -18, -15]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[13, 15, 12, 16],
 [13, 15, 12, 16],
 [6, 2, 0, 8],
 [-10, -6, -3, -13]]

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


[User]
Calculate the rank of matrix A where A =
[[14, 30, 11, -17],
 [20, 41, 16, -22],
 [0, -2, -8, 14],
 [-4, 23, -8, -34]]

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


[User]
Find the rank of the matrix:
[[3, 13, 15, 2],
 [9, 6, 9, -6],
 [-1, -8, -9, -2],
 [2, 16, 18, 4]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[2, 8, 2, 12],
 [-1, -16, -1, -6],
 [17, 15, -9, -2],
 [6, 20, -2, 4]]

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


[User]
What is the rank of the matrix:
[[8, 24, -20, -2],
 [-6, -13, 10, -1],
 [-8, -16, 12, -2],
 [-4, -6, 4, -2]]?

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


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

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


[User]
What is the rank of the matrix:
[[2, 16, 4, -4],
 [3, 3, 6, 1],
 [-3, -9, -6, 1],
 [-1, -8, -2, 2]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-4, -12, 4, -12],
 [1, 3, -1, 3],
 [-2, -6, 2, -6],
 [3, 9, -3, 9]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[0, -4, 3, 2],
 [0, 16, -12, -8],
 [0, 12, -9, -6],
 [0, -8, 6, 4]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[11, -2, -4, 10],
 [15, -18, 20, -8],
 [-11, 14, -16, 7],
 [15, -6, 0, 9]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[12, 14, 8, -13],
 [4, 6, 8, -1],
 [5, 4, -4, -10],
 [-13, -16, -12, 12]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[0, 0, 0, 0],
 [-4, 0, 0, -3],
 [12, 0, 0, 9],
 [-12, 0, 0, -9]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-9, 5, 13, -3],
 [7, -13, -12, 0],
 [-31, 14, 6, 5],
 [-5, 2, -28, 13]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[2, 7, -15, 33],
 [-6, -7, 5, -11],
 [6, 1, 7, -19],
 [6, 7, -9, 17]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-10, 16, -18, 8],
 [-6, 0, 6, 4],
 [-5, 8, -9, 4],
 [2, -8, 12, -2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[1, -3, 4, 3],
 [-3, 9, -12, -9],
 [2, -6, 8, 6],
 [2, -6, 8, 6]]

Present the answer in LaTex format: \boxed{Your answer}