[User]
Determine the rank of the following matrix:
[[-7, 2, 5, -14],
 [9, -24, -2, -8],
 [-4, 14, 1, 6],
 [-7, -13, 4, -24]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-7, -1, -8, -12],
 [-16, -4, 16, 0],
 [-7, -2, 22, 14],
 [-8, -3, 26, 14]]

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


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

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


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

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-4, 8, 32, -4],
 [15, 3, -13, -21],
 [-6, 0, -4, 10],
 [6, 12, 2, -14]]

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


[User]
Determine the rank of the following matrix:
[[4, -6, 7, 10],
 [-16, 10, -13, 10],
 [-1, 1, -2, 4],
 [20, -12, 15, -10]]

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


[User]
Determine the rank of the following matrix:
[[-29, 20, 6, 3],
 [4, -6, 10, 6],
 [-29, 20, 6, 3],
 [-2, 17, 9, -9]]

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


[User]
Determine the rank of the following matrix:
[[-13, -7, 3, 12],
 [-1, 6, 6, -2],
 [19, 18, 0, -22],
 [10, 9, -2, -12]]

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


[User]
Find the rank of the matrix:
[[9, 4, -15, 6],
 [-19, -17, 8, 24],
 [1, 4, 16, -5],
 [0, -3, -9, 12]]

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


[User]
Determine the rank of the following matrix:
[[-3, 1, 8, -4],
 [-3, 1, 8, -6],
 [-18, 22, 8, 24],
 [-5, -1, 20, -4]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[10, 5, -12, 7],
 [-2, 13, 8, 7],
 [8, 8, -8, 8],
 [2, 17, 4, 11]]

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


[User]
Determine the rank of the following matrix:
[[-2, 3, 1, -4],
 [-17, 21, 7, -4],
 [4, -7, 11, 12],
 [-10, 10, 10, 12]]

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


[User]
What is the rank of the matrix:
[[-1, -11, 12, 13],
 [3, 1, 12, 9],
 [0, -6, 9, 9],
 [0, 6, -9, -9]]?

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


[User]
What is the rank of the matrix:
[[-6, -12, 8, -2],
 [4, 8, -8, 16],
 [10, 20, -14, 7],
 [6, 12, -10, 13]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[-19, 4, -10, 15],
 [20, 12, 12, -4],
 [-20, -12, -12, 4],
 [7, -20, 2, -19]]

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


[User]
What is the rank of the matrix:
[[1, -2, 23, -8],
 [-6, 1, 30, -11],
 [10, -10, 11, -19],
 [17, -10, -5, -4]]?

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],
 [2, -2, -6, -4],
 [1, -1, -3, -2]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[4, 8, 2, 12],
 [-28, -8, 1, 6],
 [19, 3, -2, -10],
 [3, 11, -2, 6]]

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


[User]
Determine the rank of the following matrix:
[[-8, 0, 12, 2],
 [-10, 8, -8, -11],
 [1, -12, 9, 12],
 [-7, -12, 24, 15]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-4, -8, -8, 16],
 [-11, 6, -2, -4],
 [-1, 5, 3, -8],
 [-20, 16, 0, -16]]?

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


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

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


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

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


[User]
Find the rank of the matrix:
[[0, -11, 3, 14],
 [8, -13, 5, 18],
 [-10, 8, -4, -12],
 [-12, -8, 0, 8]]

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


[User]
Calculate the rank of matrix A where A =
[[-26, 15, 17, -4],
 [-8, -2, 10, -16],
 [0, 15, 2, 3],
 [20, -7, -15, 10]]

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


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

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


[User]
What is the rank of the matrix:
[[-24, 16, 6, -20],
 [3, -4, 0, 2],
 [-25, 12, 8, -22],
 [9, -12, 0, 6]]?

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


[User]
Find the rank of the matrix:
[[-12, 12, 20, 10],
 [0, 0, 0, 0],
 [3, -6, -11, -1],
 [-12, 8, 12, 12]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-16, 16, -4, 16],
 [-1, 1, -1, 4],
 [4, -4, 1, -4],
 [-13, 13, -1, 4]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-2, -15, -4, 13],
 [10, -6, -16, 7],
 [-18, -9, 20, 5],
 [12, -9, -20, 10]]

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


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

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


[User]
Determine the rank of the following matrix:
[[3, 0, -22, 10],
 [9, -8, 11, 6],
 [-10, 4, 29, -20],
 [0, 2, 7, 0]]

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


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

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


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

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


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

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[2, 16, 12, -1],
 [-2, -4, 0, 4],
 [-1, -18, -16, -2],
 [3, 10, 4, -5]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-12, 17, -10, 17],
 [-19, 14, -9, 8],
 [8, -10, 6, -10],
 [7, 8, -2, -10]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[11, 21, -6, 27],
 [5, -1, -11, -5],
 [26, 26, -21, 32],
 [-22, -26, 14, -34]]

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


[User]
Calculate the rank of matrix A where A =
[[-24, 5, -1, -2],
 [-15, 10, 6, -10],
 [15, 8, -5, 4],
 [-9, -9, -4, 6]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[22, 25, -4, 1],
 [4, 8, 1, 14],
 [-4, -2, 2, 10],
 [-6, -3, 3, 15]]

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


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

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[1, -15, 2, 12],
 [7, -7, 4, 12],
 [31, -3, 2, 21],
 [-2, -5, -9, -6]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-12, -7, -8, 6],
 [-4, 18, -10, -20],
 [21, -1, 19, 6],
 [0, 5, 1, 22]]

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


[User]
Calculate the rank of matrix A where A =
[[-1, 0, -4, -4],
 [5, 6, -14, -4],
 [3, 3, -5, 0],
 [1, 3, -13, -8]]

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


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

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


[User]
Determine the rank of the following matrix:
[[4, -15, -9, 2],
 [-4, -6, -5, 5],
 [-4, 15, 9, -2],
 [-16, 18, 8, 6]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-18, -14, -27, -5],
 [-18, -6, -18, -6],
 [-2, 2, 1, -1],
 [20, -4, 8, 8]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-1, -4, -4, -1],
 [-12, 13, 0, -26],
 [-12, 6, -12, -6],
 [0, -3, 0, -6]]

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


[User]
Determine the rank of the following matrix:
[[2, -5, -8, -18],
 [4, 4, 4, -8],
 [-10, -9, 6, 22],
 [-10, -18, 12, 4]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-3, 0, -14, -8],
 [-2, 1, 2, 1],
 [1, 7, -8, -9],
 [-6, 5, -2, -3]]

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


[User]
Determine the rank of the following matrix:
[[16, 28, -20, 5],
 [-19, -28, 22, -9],
 [-12, -24, 16, -2],
 [18, 24, -20, 10]]

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


[User]
Calculate the rank of matrix A where A =
[[-9, 7, 2, -7],
 [-1, -16, 6, -8],
 [26, -36, 8, 3],
 [-6, -1, -4, 2]]

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


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

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


[User]
Find the rank of the matrix:
[[-5, 6, 21, 3],
 [-5, 10, -3, 15],
 [-6, 10, 21, 8],
 [19, 10, -12, 3]]

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


[User]
Calculate the rank of matrix A where A =
[[-13, 12, -16, 5],
 [7, -20, 1, -12],
 [-11, 4, -17, 0],
 [9, -28, 0, -17]]

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


[User]
Find the rank of the matrix:
[[-8, 20, 2, 6],
 [-12, 2, -5, -3],
 [4, -24, -5, -9],
 [-20, 8, -7, -3]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-1, -18, 12, -5],
 [3, -6, 2, 1],
 [9, -13, 3, 7],
 [-1, -3, 3, 7]]

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


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

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, 6, 0, -4],
 [0, 0, 0, 0]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[8, -7, -4, 13],
 [1, 10, -14, 2],
 [-4, 9, -6, 6],
 [-6, -7, 20, -29]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[3, 3, 6, 9],
 [5, -13, -8, -3],
 [-8, 10, 2, -6],
 [12, -12, 0, 12]]

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


[User]
Calculate the rank of matrix A where A =
[[-10, -16, -18, 8],
 [12, 12, 12, 6],
 [-2, 4, 2, 6],
 [0, 12, 10, 4]]

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


[User]
Find the rank of the matrix:
[[-5, 11, -1, -4],
 [0, 11, 19, -9],
 [8, -12, 12, 4],
 [-4, 8, -3, -5]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-4, 15, 20, -13],
 [-1, -9, -9, -6],
 [-3, 6, 1, -15],
 [-1, 3, -1, -6]]

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-18, 24, 6, 2],
 [18, -22, -8, -3],
 [-30, 36, 6, -16],
 [14, -6, -20, -15]]

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


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

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


[User]
Find the rank of the matrix:
[[-20, 0, -32, -4],
 [-18, -4, -28, -7],
 [-4, -12, -4, -11],
 [4, 32, 0, 28]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-15, -3, 18, 1],
 [12, 2, -10, 4],
 [24, 3, -18, 11],
 [-21, -2, 10, -16]]

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


[User]
Calculate the rank of matrix A where A =
[[-1, -1, 3, 7],
 [4, -4, 4, 16],
 [9, -9, -27, -16],
 [-2, 2, 16, 18]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-20, 24, -6, 14],
 [12, -8, 18, -2],
 [14, -16, 6, -9],
 [-10, 4, -21, -1]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-2, -8, -8, 12],
 [-9, 12, 3, -6],
 [28, -16, 8, -8],
 [-20, 16, -2, 0]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-13, -1, 9, 32],
 [-9, 12, -3, -4],
 [18, -4, 1, -12],
 [16, 7, -3, -24]]

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


[User]
Determine the rank of the following matrix:
[[0, -8, 4, -2],
 [6, 6, 9, 15],
 [12, -3, 15, 6],
 [4, -27, 11, -18]]

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


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

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


[User]
Find the rank of the matrix:
[[-1, -8, -3, -9],
 [-20, 0, 20, 28],
 [-2, 4, 4, 8],
 [-12, 4, 14, 22]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-4, 7, -20, 4],
 [0, 0, 0, 0],
 [-22, -9, 4, -16],
 [10, 5, -4, 8]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-13, 12, 12, -12],
 [3, -3, -6, 7],
 [14, 5, -14, 11],
 [9, 17, -14, 11]]

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


[User]
What is the rank of the matrix:
[[3, -15, 12, 16],
 [-2, -6, 8, 8],
 [7, 9, -16, -14],
 [5, -9, 4, 8]]?

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[16, -11, -2, -2],
 [16, -1, -14, -6],
 [4, -4, -10, -12],
 [17, -7, 6, 11]]

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


[User]
Find the rank of the matrix:
[[-4, 0, 6, 8],
 [-11, -1, 16, 14],
 [8, 0, -12, -16],
 [-9, -1, 13, 10]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-2, 0, -7, 16],
 [14, 10, -25, -15],
 [-24, 15, 3, -9],
 [22, -25, 16, 12]]

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


[User]
What is the rank of the matrix:
[[-4, -2, 8, 8],
 [12, 9, 16, -6],
 [-18, 0, 16, 6],
 [-4, -14, -12, 20]]?

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


[User]
Determine the rank of the following matrix:
[[-9, -15, -12, -6],
 [0, -6, -6, -6],
 [-12, 5, 9, 17],
 [-9, -9, -6, 0]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[4, 6, 16, 14],
 [-8, 2, -2, 4],
 [-8, -12, -14, -20],
 [-12, -3, -21, -10]]

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


[User]
Determine the rank of the following matrix:
[[8, 5, 0, -3],
 [-7, -4, 3, 3],
 [-15, -9, 3, 6],
 [3, 2, 1, -1]]

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


[User]
Find the rank of the matrix:
[[-22, -11, 14, -16],
 [0, -4, 4, 8],
 [1, 4, 0, 2],
 [10, 13, -8, 4]]

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


[User]
Find the rank of the matrix:
[[12, -6, -6, -12],
 [-6, -2, 15, -2],
 [21, -13, -9, -7],
 [-9, 1, 14, -1]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-4, -8, -20, 16],
 [-19, 12, -10, 16],
 [-16, 18, 5, 4],
 [6, -8, -4, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[-1, 4, -4, 4],
 [-8, -23, 28, 12],
 [-1, 20, -19, 12],
 [-3, -8, 18, 12]]

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


[User]
Determine the rank of the following matrix:
[[-7, -14, 4, 14],
 [2, -11, 1, -4],
 [-26, -16, 4, 27],
 [-22, -11, 1, 14]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[16, -16, -12, 8],
 [-6, 8, 2, -1],
 [24, -32, -8, 4],
 [2, 4, -9, 7]]

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


[User]
What is the rank of the matrix:
[[-21, -6, 8, 0],
 [6, -4, 7, -15],
 [29, 0, -25, 15],
 [33, -1, -25, 12]]?

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


[User]
Find the rank of the matrix:
[[-2, 4, 24, 12],
 [-6, -16, -3, -7],
 [12, -4, -4, -2],
 [10, -8, -3, -3]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[2, 6, 8, 0],
 [9, -4, 3, 10],
 [0, -8, 6, -10],
 [-21, 17, -24, -4]]?

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


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

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


[User]
What is the rank of the matrix:
[[-8, -15, -12, -3],
 [-9, -15, -24, -12],
 [13, -3, 0, -24],
 [-2, 9, 12, 18]]?

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


[User]
Calculate the rank of matrix A where A =
[[-8, -4, -6, 10],
 [-24, 0, -1, 11],
 [-18, 4, -3, 13],
 [4, 0, 1, -3]]

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


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

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


[User]
What is the rank of the matrix:
[[-10, 3, -1, 2],
 [-2, -12, 6, 0],
 [-18, -10, 4, -4],
 [-3, 10, -6, -4]]?

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


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

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-11, -22, -10, -4],
 [0, 0, 3, 10],
 [-6, -12, -3, 6],
 [-4, -8, -2, 4]]

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


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

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


[User]
Find the rank of the matrix:
[[-8, -20, 8, -6],
 [0, -12, -21, 3],
 [-8, -21, -6, -4],
 [-24, 5, 3, -15]]

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


[User]
Determine the rank of the following matrix:
[[-13, 19, 16, -1],
 [3, -11, -12, 17],
 [15, -29, -23, 4],
 [16, -26, -21, 1]]

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


[User]
What is the rank of the matrix:
[[-5, 16, -7, 7],
 [-5, 12, 1, 9],
 [5, -8, -9, -11],
 [-2, 12, -14, 0]]?

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[6, -19, -2, 2],
 [28, -12, 22, 14],
 [7, -18, -14, -1],
 [16, -14, 15, 9]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-4, 15, 10, 4],
 [15, 12, 19, -25],
 [-3, -21, -19, 7],
 [-4, -24, -24, 16]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-8, 9, -11, 7],
 [-12, 5, 5, -17],
 [-13, 15, -14, 15],
 [-5, -1, 6, -19]]

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


[User]
Determine the rank of the following matrix:
[[8, 16, -8, -1],
 [-15, 33, 29, 29],
 [-4, 5, 3, 7],
 [16, -8, 0, -25]]

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


[User]
Find the rank of the matrix:
[[-2, -6, 11, -4],
 [0, 3, -15, 6],
 [-10, -19, 0, 2],
 [0, -4, 20, -8]]

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


[User]
Calculate the rank of matrix A where A =
[[-6, -8, 10, 8],
 [31, 22, -7, 9],
 [5, 2, -11, 1],
 [2, 2, 7, 2]]

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


[User]
Determine the rank of the following matrix:
[[4, 0, -16, -20],
 [-12, 13, -17, -18],
 [-8, 4, 12, 16],
 [-12, 13, -17, -18]]

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


[User]
Determine the rank of the following matrix:
[[-9, 12, -4, -2],
 [24, -32, 8, 8],
 [12, -16, 0, 8],
 [24, -32, 8, 8]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[1, -7, -2, 4],
 [1, -17, 0, 10],
 [-2, -11, 9, 7],
 [6, 8, -22, -6]]

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


[User]
Find the rank of the matrix:
[[3, -16, -6, 0],
 [-4, -16, -16, 8],
 [-4, -2, -7, 5],
 [-8, 24, 4, 4]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-12, 6, -4, -4],
 [10, -24, -3, -22],
 [14, -24, -1, -18],
 [-2, -15, -6, -22]]

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


[User]
Calculate the rank of matrix A where A =
[[2, -17, 1, 5],
 [10, 10, 2, -11],
 [14, 6, 14, -1],
 [8, -21, 11, 11]]

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


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

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


[User]
Find the rank of the matrix:
[[24, -11, 10, 5],
 [16, 16, 6, 17],
 [44, -5, 16, 19],
 [-8, -1, -2, -5]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-20, 24, 24, -2],
 [2, 3, -6, -1],
 [23, -30, -24, 1],
 [12, -11, -14, -2]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-11, 15, 13, -11],
 [6, -12, -9, 13],
 [-16, 24, 20, -20],
 [-10, 18, 14, -18]]?

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-1, 13, 1, -10],
 [12, -15, -5, 14],
 [16, 5, -15, 2],
 [11, 19, 7, -14]]

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


[User]
What is the rank of the matrix:
[[-2, 2, 11, 7],
 [4, 10, -15, -5],
 [0, 4, 10, 6],
 [1, 8, 3, 4]]?

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


[User]
Determine the rank of the following matrix:
[[-4, 5, 10, 9],
 [4, -2, -12, -6],
 [0, 6, -4, 6],
 [4, 4, -16, 0]]

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


[User]
Find the rank of the matrix:
[[16, -6, -4, -2],
 [-8, -2, -3, 4],
 [-6, 4, 0, 1],
 [20, 7, 4, -9]]

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


[User]
Calculate the rank of matrix A where A =
[[-3, -1, -4, 1],
 [-12, 0, -14, 2],
 [3, -3, 2, 1],
 [3, 7, 7, -4]]

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


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

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


[User]
What is the rank of the matrix:
[[-10, -6, -22, 18],
 [6, 2, 29, -22],
 [5, 3, 11, -9],
 [14, 13, -9, -2]]?

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


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

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


[User]
Find the rank of the matrix:
[[-18, 10, -10, 14],
 [-16, 0, -5, 8],
 [-8, 8, -6, 8],
 [-4, 20, -10, 12]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[17, -16, -4, -6],
 [15, 18, 6, 24],
 [-14, -21, -6, -20],
 [28, 13, 4, 18]]

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


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

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],
 [1, -6, 2, -1],
 [-3, 12, 0, 5]]

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


[User]
What is the rank of the matrix:
[[8, -20, -16, -17],
 [-6, 11, -7, 17],
 [8, -25, -36, -13],
 [4, -19, -22, -9]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[12, -6, -9, 9],
 [-16, 11, 15, -14],
 [-14, -11, 12, -18],
 [0, 9, 3, 0]]

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[8, -4, -6, -10],
 [9, 0, -13, -13],
 [7, -5, -7, -6],
 [-1, 15, -13, -8]]

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


[User]
What is the rank of the matrix:
[[18, 12, 5, -4],
 [-11, -3, -11, 14],
 [20, 16, 5, -4],
 [2, 0, 16, -24]]?

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


[User]
Determine the rank of the following matrix:
[[-16, 8, -19, -15],
 [-12, -12, -9, 3],
 [5, -13, 9, 13],
 [8, -16, 13, 17]]

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


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

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


[User]
Find the rank of the matrix:
[[-2, 16, -10, 18],
 [-11, -3, -6, 1],
 [-1, -18, 9, -19],
 [20, -4, 16, -12]]

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


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

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


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

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-1, 19, 0, 5],
 [-7, -8, 3, -13],
 [19, -16, -7, 21],
 [-8, 5, 5, -18]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-16, 12, -8, -4],
 [8, -6, 4, 2],
 [2, -5, 2, -3],
 [-5, 9, -4, 4]]

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


[User]
Determine the rank of the following matrix:
[[22, -10, 7, 20],
 [15, -14, -4, 10],
 [-31, 22, -4, -26],
 [2, -2, 5, 4]]

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


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

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


[User]
What is the rank of the matrix:
[[9, 1, 14, 13],
 [-20, -34, 8, -22],
 [-9, -23, 18, -7],
 [9, 23, -14, 8]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[11, 0, -8, -13],
 [3, 18, -36, 1],
 [13, -11, 8, -16],
 [20, -5, -8, -23]]

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


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

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


[User]
What is the rank of the matrix:
[[-16, 6, -12, 9],
 [-16, -12, 0, -12],
 [4, 24, 12, 25],
 [2, 12, -20, 15]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[8, -6, 6, 0],
 [-4, 1, -13, 16],
 [8, -4, 16, -16],
 [8, -8, -4, 16]]

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


[User]
Determine the rank of the following matrix:
[[-7, 16, 9, 20],
 [0, 5, -12, 0],
 [2, 14, 3, 20],
 [6, 11, -18, 8]]

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


[User]
Find the rank of the matrix:
[[11, -19, -14, -7],
 [1, 2, 9, 4],
 [5, 5, 1, 2],
 [-2, 4, 17, 7]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[0, 16, -11, -1],
 [16, 16, 12, 0],
 [-4, 16, 14, -5],
 [-8, 8, 24, -6]]

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


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

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


[User]
Find the rank of the matrix:
[[3, 18, 0, -13],
 [-3, -6, -6, 5],
 [6, 6, 15, -6],
 [5, 8, 11, -7]]

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


[User]
Find the rank of the matrix:
[[3, 5, 3, -8],
 [9, 0, 24, -29],
 [12, 4, 12, 0],
 [1, 2, 0, -1]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-3, -1, -4, 4],
 [3, 1, 4, -4],
 [-9, 6, -21, 21],
 [-3, 2, -7, 7]]

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


[User]
Calculate the rank of matrix A where A =
[[-14, 8, -16, -18],
 [-20, 12, -16, -28],
 [-12, 7, -12, -16],
 [1, 14, -19, -7]]

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[15, -10, -6, -8],
 [-2, 6, -2, 2],
 [-10, 10, 2, 6],
 [14, -12, -4, -8]]?

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-25, 4, -18, -7],
 [25, -10, 12, 4],
 [-19, 5, -9, 13],
 [19, -3, 11, -12]]

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


[User]
Find the rank of the matrix:
[[6, 0, 4, -4],
 [10, -3, 3, -2],
 [-12, 18, 14, -20],
 [-7, 3, -1, 0]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[3, 5, -5, 5],
 [-23, 8, -6, -6],
 [-2, 2, 6, -9],
 [-12, 2, 10, -18]]?

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-1, 6, -5, 7],
 [-4, 12, 4, 4],
 [0, 3, -6, 6],
 [-4, 12, 4, 4]]

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


[User]
Determine the rank of the following matrix:
[[-13, 1, 13, -1],
 [-16, 4, 16, 8],
 [1, -5, -1, -3],
 [1, 13, -1, -3]]

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


[User]
Determine the rank of the following matrix:
[[-10, -7, 10, -9],
 [-14, -9, -4, 16],
 [-6, 9, 6, 21],
 [-18, -12, 10, -3]]

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


[User]
Find the rank of the matrix:
[[3, -16, 5, 13],
 [-3, 0, 3, -9],
 [-3, 0, 3, -9],
 [-2, 0, 2, -6]]

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


[User]
Find the rank of the matrix:
[[-7, 15, -8, -15],
 [-7, 15, -8, -15],
 [-3, 9, -6, -12],
 [-14, 18, -4, -4]]

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


[User]
Calculate the rank of matrix A where A =
[[10, -11, -5, 8],
 [10, -4, -5, 12],
 [10, -4, -5, 12],
 [14, 0, -7, 20]]

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


[User]
Calculate the rank of matrix A where A =
[[-12, -16, -14, -4],
 [-8, 0, 13, 30],
 [10, 4, -1, -14],
 [-4, 12, 11, 18]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[8, 14, -20, 4],
 [-8, -1, -14, 8],
 [4, 11, -22, 4],
 [20, 17, 14, 12]]

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


[User]
Calculate the rank of matrix A where A =
[[2, -4, -3, 0],
 [-6, 20, 7, 8],
 [4, -12, -5, -4],
 [-9, 20, 13, 2]]

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


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

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


[User]
Determine the rank of the following matrix:
[[11, 2, 6, 3],
 [21, 6, 12, 3],
 [1, -6, -8, 1],
 [-6, -4, -14, -8]]

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


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

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


[User]
Determine the rank of the following matrix:
[[28, 7, -10, 4],
 [7, 13, 5, -14],
 [-13, -15, 3, 10],
 [-2, 4, 0, -4]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[14, -3, 11, 17],
 [-4, 0, -2, -4],
 [-2, 3, -5, -5],
 [-6, -5, -3, -5]]

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


[User]
What is the rank of the matrix:
[[22, 4, 12, 1],
 [-2, 8, 12, 9],
 [4, 21, 20, -7],
 [16, 18, 28, 8]]?

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


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

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


[User]
What is the rank of the matrix:
[[-4, -8, 18, -15],
 [-8, -6, -14, 15],
 [6, 5, 8, -9],
 [4, 0, 22, -21]]?

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-9, 13, -8, -7],
 [0, 6, -3, 1],
 [-14, 21, -12, -14],
 [-19, 14, -13, -6]]

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


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

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


[User]
What is the rank of the matrix:
[[-16, -16, -4, -16],
 [8, -8, -4, -4],
 [8, 24, 8, 20],
 [-8, -24, -8, -20]]?

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-16, 20, -25, -3],
 [-9, 4, 3, -7],
 [1, 10, -9, 17],
 [1, 2, 4, 8]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-16, 4, -28, -28],
 [-4, 11, 13, 13],
 [8, -4, 10, 10],
 [16, -12, 12, 12]]

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


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

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


[User]
Determine the rank of the following matrix:
[[6, -3, 12, 11],
 [-9, -17, 5, -10],
 [3, 9, -5, 2],
 [9, 10, 4, 10]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[2, -2, 1, -4],
 [1, -16, 5, -14],
 [3, 2, 0, -2],
 [-8, -12, 2, 0]]?

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-6, -13, -1, 9],
 [-12, -16, -4, 8],
 [8, 10, 3, -7],
 [-18, -2, -11, -3]]

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


[User]
Calculate the rank of matrix A where A =
[[-3, 0, 6, -5],
 [-1, -12, -18, 21],
 [13, 16, -2, -9],
 [5, 10, -8, -13]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-19, -1, 6, 24],
 [11, -1, -6, -18],
 [2, -2, -4, -8],
 [-13, -7, -6, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[-15, -9, 8, -25],
 [-3, -5, -8, 1],
 [-9, -9, 5, -22],
 [12, 4, -8, 16]]

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


[User]
Calculate the rank of matrix A where A =
[[-18, -18, 12, -12],
 [15, 21, -6, 4],
 [-3, 18, 6, -3],
 [19, 12, -14, 13]]

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


[User]
What is the rank of the matrix:
[[-1, 6, 2, -3],
 [0, -4, -4, 10],
 [2, -6, -4, 18],
 [-2, 7, 2, -7]]?

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


[User]
What is the rank of the matrix:
[[-2, -4, -8, -4],
 [7, -2, -12, -18],
 [-1, 2, 6, 6],
 [-6, 4, 16, 20]]?

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-5, 0, 30, 8],
 [-4, -3, -15, 2],
 [5, -5, -25, -6],
 [3, 17, 7, -6]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[9, -8, 5, -2],
 [-17, -10, -11, 15],
 [5, -12, -3, 2],
 [-9, -8, -9, 9]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-4, 2, 6, 13],
 [20, 12, 3, -10],
 [-8, -12, -12, -14],
 [12, 14, 12, 11]]

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


[User]
What is the rank of the matrix:
[[-9, -7, -9, 5],
 [9, -13, -2, -23],
 [1, 3, 5, 7],
 [4, 2, 6, 2]]?

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


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

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


[User]
Find the rank of the matrix:
[[5, 10, -12, -5],
 [-4, -6, 6, 6],
 [0, -10, 18, -10],
 [9, 11, -9, -16]]

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


[User]
Determine the rank of the following matrix:
[[9, -6, -15, -7],
 [5, 0, -3, -7],
 [13, -12, -24, -20],
 [-7, -4, 0, 4]]

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[16, -26, 5, 21],
 [4, 7, -8, 0],
 [-8, -4, 10, -4],
 [24, -9, 1, 18]]

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


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

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


[User]
Determine the rank of the following matrix:
[[6, 10, -4, -24],
 [1, -5, 1, -4],
 [4, -4, 0, -16],
 [-3, -9, 3, 12]]

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[0, 22, -17, -16],
 [-32, 20, -18, 4],
 [-44, 14, -15, 16],
 [-4, 10, -13, 0]]

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


[User]
Find the rank of the matrix:
[[16, -30, -28, -11],
 [10, -22, -20, -5],
 [15, -30, -27, -9],
 [-3, 12, 6, -3]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-4, 12, 11, -10],
 [-12, 12, 17, -14],
 [4, -12, -11, 10],
 [-16, 3, 14, -10]]

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


[User]
Determine the rank of the following matrix:
[[0, 9, 2, 7],
 [-1, -20, -3, -14],
 [-4, -19, -4, -18],
 [-8, -7, 0, -10]]

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


[User]
Determine the rank of the following matrix:
[[-34, -3, 16, -2],
 [0, -8, 4, 5],
 [17, -7, -12, 5],
 [-3, -14, 12, 9]]

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


[User]
Calculate the rank of matrix A where A =
[[0, 0, 0, 0],
 [20, -24, 5, 13],
 [-6, 16, -14, -11],
 [-2, 8, 21, 4]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-9, 9, -3, 11],
 [21, -7, 0, -14],
 [-24, 4, 0, 16],
 [7, 24, -4, 2]]

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


[User]
Find the rank of the matrix:
[[16, 0, 16, 12],
 [3, 1, 4, 0],
 [0, -4, -4, 9],
 [11, 1, 12, 6]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[12, 4, 0, 10],
 [-10, -4, -4, -7],
 [-8, 0, 16, -12],
 [14, 4, -4, 13]]

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


[User]
Calculate the rank of matrix A where A =
[[-12, -9, 0, -3],
 [-20, -9, 4, -6],
 [-20, 3, 12, -8],
 [-24, -6, 8, -8]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-7, 0, -1, -12],
 [0, 8, -1, -29],
 [16, -18, -10, 20],
 [-6, 10, 3, -21]]

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


[User]
Determine the rank of the following matrix:
[[9, 9, 0, -12],
 [-3, 29, -24, -8],
 [15, -3, 6, -6],
 [1, 13, -14, -1]]

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[1, 4, -10, 4],
 [0, 0, 0, 0],
 [-8, -2, 0, -7],
 [-18, -6, 4, -17]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[14, 3, -12, -15],
 [5, 0, -6, -3],
 [4, 8, 8, -20],
 [9, 3, -6, -12]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-2, 16, -10, 15],
 [0, 24, -12, 22],
 [-4, -4, -2, -3],
 [24, 0, 24, -4]]

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


[User]
What is the rank of the matrix:
[[-2, 24, -3, -7],
 [-8, 6, -3, -1],
 [-6, -8, -1, 3],
 [-9, 13, -4, -3]]?

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-14, 0, -6, 18],
 [-8, -2, -3, 15],
 [7, 1, 6, 6],
 [-3, 3, -3, -9]]

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


[User]
Find the rank of the matrix:
[[-10, -3, -1, -4],
 [-22, 0, -10, -16],
 [-16, -24, 14, -4],
 [-18, 1, -7, -8]]

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


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

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


[User]
What is the rank of the matrix:
[[8, -8, -4, -8],
 [-17, 3, 4, 32],
 [-3, 9, 0, 0],
 [4, 0, -1, -8]]?

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


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

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


[User]
Find the rank of the matrix:
[[7, -2, 5, -1],
 [-12, -18, 15, 21],
 [6, 14, -13, -15],
 [3, -8, 10, 6]]

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


[User]
What is the rank of the matrix:
[[2, -9, 4, -22],
 [16, 12, 4, -8],
 [-8, 0, -4, 16],
 [-2, 3, -2, 10]]?

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


[User]
Determine the rank of the following matrix:
[[-4, -2, 6, 3],
 [8, 6, -14, -9],
 [16, 4, -20, -6],
 [-12, -2, 14, 3]]

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


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

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


[User]
What is the rank of the matrix:
[[6, -22, -20, -8],
 [-12, 16, 19, 16],
 [7, 0, 0, 7],
 [5, 26, 15, -13]]?

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


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

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


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

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[9, -8, -3, -21],
 [4, -20, -4, -28],
 [-7, 14, 9, 13],
 [-7, -13, 3, -14]]

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


[User]
What is the rank of the matrix:
[[2, -16, -6, 4],
 [1, 15, 8, -4],
 [0, 28, 16, -16],
 [-4, -17, -13, 10]]?

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


[User]
What is the rank of the matrix:
[[0, 0, 12, 3],
 [0, -3, 28, 10],
 [0, 4, -32, -12],
 [0, 2, 8, 0]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[17, 15, -10, 11],
 [-1, 6, 6, 4],
 [-14, -7, 9, -6],
 [-14, 10, -24, -2]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[8, -2, -8, -2],
 [-13, 3, 15, -4],
 [24, -10, -28, -8],
 [8, -3, -6, -12]]

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


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

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


[User]
Find the rank of the matrix:
[[13, 10, 14, 14],
 [-7, 2, -5, 4],
 [-5, -2, -3, -20],
 [-12, 8, -8, 24]]

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


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

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


[User]
Find the rank of the matrix:
[[10, -6, 10, 0],
 [-4, 9, -1, -12],
 [1, -5, -1, 8],
 [3, -15, -3, 24]]

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


[User]
Calculate the rank of matrix A where A =
[[-16, 15, 8, -3],
 [0, -13, 2, 2],
 [12, -6, -2, -5],
 [16, -1, -14, 6]]

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


[User]
What is the rank of the matrix:
[[-3, 4, 0, 3],
 [6, 21, 9, 3],
 [8, 20, 9, -4],
 [4, 3, 3, 3]]?

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


[User]
What is the rank of the matrix:
[[-6, -5, 2, -6],
 [10, 4, -4, 4],
 [-2, 7, 2, 10],
 [8, 11, -2, 14]]?

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


[User]
Calculate the rank of matrix A where A =
[[11, -5, 5, -10],
 [1, 3, 6, 11],
 [2, -3, 4, 0],
 [1, -7, -4, -15]]

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


[User]
Calculate the rank of matrix A where A =
[[1, -10, 16, -2],
 [-7, 7, 5, 20],
 [-2, -4, 28, 16],
 [1, 5, 19, 16]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[0, -16, 6, -8],
 [-23, -5, -6, -7],
 [-14, 14, -3, -2],
 [-13, 9, 0, -5]]?

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


[User]
Find the rank of the matrix:
[[-8, 0, -6, -6],
 [13, -7, 17, 11],
 [5, 21, -18, 0],
 [2, 1, -4, -11]]

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


[User]
Calculate the rank of matrix A where A =
[[-10, -17, 2, -5],
 [3, -3, -9, 6],
 [21, 12, -22, 21],
 [-5, 2, -22, 5]]

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


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

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


[User]
What is the rank of the matrix:
[[-7, -4, 1, 7],
 [-1, 8, -3, 5],
 [11, -16, -3, -19],
 [9, 16, -1, -5]]?

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


[User]
Calculate the rank of matrix A where A =
[[7, 0, -14, -9],
 [-4, 9, 8, 0],
 [11, -16, -22, -5],
 [-9, 8, 18, 7]]

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


[User]
Find the rank of the matrix:
[[-12, -23, -10, -4],
 [12, 15, -14, 16],
 [-12, -18, 16, -20],
 [6, 7, -14, 13]]

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


[User]
What is the rank of the matrix:
[[-7, 12, -9, 9],
 [-15, -1, 5, -5],
 [0, -11, 10, -10],
 [-4, 10, -8, 8]]?

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[12, 15, -12, 12],
 [-8, -17, 8, -15],
 [-16, -22, 16, -18],
 [-8, -14, 8, -12]]

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


[User]
Determine the rank of the following matrix:
[[-14, 12, -10, 0],
 [2, 0, 4, 3],
 [6, 0, 2, 7],
 [1, -2, -36, -9]]

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


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

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


[User]
Find the rank of the matrix:
[[1, -5, -12, -12],
 [-10, -10, -14, 19],
 [-12, -4, -16, 0],
 [-9, 1, -10, -8]]

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


[User]
What is the rank of the matrix:
[[6, 10, -6, 2],
 [-9, -11, 0, -7],
 [10, 14, -4, 6],
 [-8, -12, 5, -4]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[12, 11, 14, -24],
 [-16, -12, -7, 7],
 [0, -8, -8, 12],
 [-4, 1, -3, 8]]

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


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

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


[User]
Determine the rank of the following matrix:
[[0, 2, -6, 0],
 [5, -4, -10, 11],
 [10, 5, -17, 1],
 [7, 7, -21, 0]]

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


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

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[8, 3, 19, 4],
 [8, -8, -6, -3],
 [2, -11, -24, 0],
 [4, 9, 29, -1]]?

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[13, 9, -8, 4],
 [12, 28, 0, 0],
 [-6, 2, 6, -3],
 [4, 4, -2, 1]]

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


[User]
Calculate the rank of matrix A where A =
[[10, 2, -1, 4],
 [-14, -10, -1, -8],
 [12, 0, -2, 4],
 [-18, -18, -3, -12]]

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


[User]
What is the rank of the matrix:
[[-2, -8, 16, 20],
 [1, -8, -2, -1],
 [2, -24, 0, 4],
 [-3, 0, 18, 21]]?

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


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

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


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

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


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

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-3, 13, 13, 6],
 [3, -1, -1, 6],
 [-12, 4, 4, -24],
 [0, 0, 0, 0]]?

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


[User]
What is the rank of the matrix:
[[-12, -22, -16, -16],
 [1, 0, 10, 12],
 [-12, -12, -16, -8],
 [-13, -10, -10, 4]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[1, 0, 2, -1],
 [-3, -1, 5, -3],
 [-11, -3, 11, -7],
 [15, 4, -14, 9]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-7, -7, 18, 12],
 [17, -6, -15, -14],
 [10, -4, -4, -6],
 [-10, 0, 12, 10]]

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[4, 13, 3, -12],
 [-13, -8, -2, 30],
 [-10, -5, -7, 16],
 [-13, 6, -16, 6]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-18, 12, -8, 11],
 [-4, -10, -6, -6],
 [-20, 22, -6, 18],
 [-8, 4, -4, 4]]?

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


[User]
What is the rank of the matrix:
[[4, 9, -21, 0],
 [0, -1, -3, 4],
 [0, 3, 9, -12],
 [3, 7, -15, -1]]?

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-6, -5, 1, 4],
 [-18, -14, 8, 8],
 [6, 3, -11, 4],
 [3, 6, 17, -16]]

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


[User]
Find the rank of the matrix:
[[-9, 9, 10, -14],
 [7, -7, -8, 10],
 [8, -8, -10, 8],
 [0, 0, -2, -8]]

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


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

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


[User]
Find the rank of the matrix:
[[10, -3, 13, -4],
 [-2, 3, -9, 2],
 [1, 0, -19, 3],
 [-13, 9, -2, 3]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-26, -10, 4, 0],
 [-24, -6, -4, 17],
 [-2, -6, 4, 13],
 [7, -6, 8, 8]]

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


[User]
Find the rank of the matrix:
[[10, 1, -2, -7],
 [5, 10, -7, -19],
 [-1, -7, -1, 4],
 [-9, 17, 3, -5]]

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


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

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


[User]
Determine the rank of the following matrix:
[[0, -8, 12, 4],
 [-4, 24, -17, -13],
 [12, -18, 22, 16],
 [-10, -24, -1, 3]]

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


[User]
Calculate the rank of matrix A where A =
[[3, -16, 15, -11],
 [8, -9, 7, -8],
 [-5, -11, 12, -6],
 [-19, -4, 5, 22]]

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-20, 14, 4, -16],
 [25, -9, 3, 0],
 [-32, 15, 8, -10],
 [-7, -7, 11, 18]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-8, -12, 34, 14],
 [-1, -8, -13, -18],
 [0, -16, 15, -5],
 [2, 4, -25, -15]]

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


[User]
Find the rank of the matrix:
[[-10, -10, -16, 2],
 [13, 1, 16, -11],
 [-10, -10, -16, 2],
 [2, 4, 4, 1]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[16, -8, 12, -4],
 [15, -2, 5, -4],
 [8, -6, 7, -1],
 [-14, 4, -2, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[0, -2, -10, 8],
 [0, 2, 10, -8],
 [0, 2, 10, -8],
 [-10, -3, -25, 17]]

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


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

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


[User]
Determine the rank of the following matrix:
[[13, 16, 6, 7],
 [1, 10, 8, 4],
 [-9, -5, -2, -11],
 [2, -12, -12, -6]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[6, 13, 2, -9],
 [9, 5, -2, 0],
 [10, -10, -12, 4],
 [-1, 17, 14, 2]]

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


[User]
What is the rank of the matrix:
[[9, -18, 7, -24],
 [33, -10, 5, -28],
 [-1, -5, 1, -4],
 [-20, 9, -4, 20]]?

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


[User]
Calculate the rank of matrix A where A =
[[6, -5, -20, -9],
 [-6, 1, 7, 11],
 [-4, -6, -1, 0],
 [6, -13, -10, -29]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-4, -3, 5, -8],
 [10, 6, -7, 15],
 [12, 5, 2, -1],
 [-4, -1, -3, 2]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[15, -26, 5, 15],
 [-4, 22, -12, -13],
 [10, 6, -14, -3],
 [18, -4, -10, -2]]

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


[User]
Find the rank of the matrix:
[[-11, 2, 7, 13],
 [-1, 7, 2, 8],
 [-9, -2, 5, 7],
 [-1, -3, 0, -2]]

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


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

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


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

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[14, 13, 7, -10],
 [-12, 1, 9, 14],
 [16, -2, -13, -19],
 [-18, -14, -6, 14]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-11, -14, -5, -2],
 [16, 0, 6, -6],
 [-9, -10, -4, -1],
 [9, -6, 3, -6]]

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


[User]
Calculate the rank of matrix A where A =
[[9, -13, 12, -3],
 [21, -27, 16, 11],
 [9, -11, 4, 11],
 [-15, 15, -2, -7]]

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


[User]
Calculate the rank of matrix A where A =
[[12, 0, -4, -4],
 [11, 3, -1, -8],
 [1, 6, 5, -9],
 [2, 3, 2, -5]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[3, -9, 5, 2],
 [-6, 8, -4, 2],
 [6, 2, -2, -8],
 [0, 15, -9, -9]]

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


[User]
Find the rank of the matrix:
[[-1, 6, 11, -1],
 [13, 22, 7, -7],
 [-4, -6, -1, 2],
 [7, 8, -2, -3]]

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


[User]
Calculate the rank of matrix A where A =
[[5, -6, -9, 2],
 [-4, 16, 3, 4],
 [-11, 10, 21, -6],
 [-2, -12, 9, -8]]

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


[User]
Determine the rank of the following matrix:
[[-15, 23, -18, -11],
 [6, -12, 20, 25],
 [-4, 6, -11, -10],
 [5, -5, -2, -11]]

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-5, 14, -22, 25],
 [-8, 12, -25, 22],
 [-11, -10, -8, -13],
 [1, -14, 15, -27]]

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


[User]
Determine the rank of the following matrix:
[[24, -18, -4, 8],
 [17, -24, 3, 8],
 [-5, 30, 0, -17],
 [-6, -21, -19, 29]]

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


[User]
Find the rank of the matrix:
[[11, -3, 16, 15],
 [-8, 6, -4, -2],
 [-10, 12, 4, 8],
 [4, -12, -16, -20]]

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


[User]
What is the rank of the matrix:
[[-9, 9, -12, -9],
 [-9, 9, -12, -9],
 [2, 12, 5, -19],
 [0, -6, -1, 9]]?

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


[User]
Calculate the rank of matrix A where A =
[[-1, 9, -15, 4],
 [-2, -7, 25, -2],
 [4, -6, -6, -4],
 [2, -3, -3, -2]]

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


[User]
Find the rank of the matrix:
[[10, 4, 22, -12],
 [0, -4, 8, -8],
 [20, 24, 12, 8],
 [-2, -8, 10, -12]]

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-20, -16, 14, -20],
 [6, 0, -9, 2],
 [-24, -24, 12, -28],
 [-12, -18, 0, -19]]

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


[User]
What is the rank of the matrix:
[[8, 0, 3, 3],
 [25, -9, 4, -7],
 [27, -5, 8, -5],
 [12, -10, -2, -10]]?

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


[User]
Calculate the rank of matrix A where A =
[[-4, 4, 0, 1],
 [2, -7, 10, -8],
 [-14, 6, -22, 20],
 [5, -1, 1, -2]]

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


[User]
Find the rank of the matrix:
[[-19, 4, 21, 4],
 [-5, 17, -12, 17],
 [-4, -12, 16, -12],
 [-2, -7, 11, -7]]

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


[User]
Calculate the rank of matrix A where A =
[[6, 7, 23, 1],
 [-9, -7, -3, -5],
 [0, 1, 14, 1],
 [-12, -12, -28, -4]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-20, 11, 6, -13],
 [-16, 16, -12, -20],
 [14, -11, 14, 9],
 [-6, 0, 6, 2]]

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


[User]
Find the rank of the matrix:
[[2, -17, -7, -23],
 [-6, -16, 16, -16],
 [-15, -5, 18, -6],
 [8, -17, 12, -12]]

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


[User]
Determine the rank of the following matrix:
[[13, -5, -12, -8],
 [-13, 5, 12, 8],
 [16, -6, -14, -10],
 [-7, 2, 3, 5]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-8, 13, 10, -7],
 [-3, -3, 2, -7],
 [-2, -8, 16, 5],
 [-3, 9, -6, -9]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-7, 5, 5, 8],
 [-9, 11, -5, 0],
 [-16, 12, 8, 14],
 [-2, 3, 1, 4]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-2, 26, -4, -12],
 [2, -25, 2, -2],
 [1, 22, 7, 11],
 [1, 3, 0, -20]]?

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


[User]
Find the rank of the matrix:
[[-13, 15, 12, 12],
 [1, -6, -3, -12],
 [-6, 8, 6, 8],
 [-12, 9, 9, 0]]

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


[User]
Determine the rank of the following matrix:
[[12, 20, 8, -16],
 [9, 14, 14, -16],
 [-6, -11, 4, 4],
 [1, 2, -2, 0]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[12, 6, 8, 13],
 [6, -6, -8, 8],
 [18, 0, 0, 21],
 [0, 0, 0, 0]]

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


[User]
What is the rank of the matrix:
[[-12, -12, 12, -6],
 [-16, 14, -11, -11],
 [13, 13, -6, 2],
 [-1, -27, 23, 3]]?

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


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

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


[User]
What is the rank of the matrix:
[[-13, 8, -6, 14],
 [17, -5, 17, -5],
 [-7, 7, 1, 16],
 [2, -3, -3, 0]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[0, -11, 2, 5],
 [0, 4, -2, 2],
 [0, -8, 3, -1],
 [0, -12, 3, 3]]

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


[User]
Calculate the rank of matrix A where A =
[[-16, 4, -9, -1],
 [8, -2, 8, 4],
 [-16, 4, -12, -4],
 [-12, 3, -5, 1]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-5, 0, 11, -9],
 [18, -10, -10, 26],
 [2, -1, -12, 10],
 [23, -7, -3, 19]]

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


[User]
Find the rank of the matrix:
[[6, 2, 2, 10],
 [10, -11, 15, 29],
 [4, 26, -2, -2],
 [-11, 6, -16, -30]]

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


[User]
What is the rank of the matrix:
[[9, 9, 12, 6],
 [-15, -10, -14, -5],
 [-3, 7, 8, 8],
 [-6, 14, 16, 16]]?

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


[User]
What is the rank of the matrix:
[[-4, 4, 24, 1],
 [-9, 3, 30, -3],
 [-17, 20, 2, -15],
 [-2, 31, 16, 4]]?

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


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

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


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

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


[User]
Find the rank of the matrix:
[[3, -17, 16, 7],
 [-16, 8, 8, -4],
 [5, 4, -20, 1],
 [20, 3, 0, -6]]

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


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

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


[User]
Determine the rank of the following matrix:
[[8, 0, -4, -12],
 [-11, 3, 0, 16],
 [3, -9, 15, -3],
 [-9, 3, -1, 13]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[0, -1, -2, 4],
 [4, -9, -8, 10],
 [-2, 3, 1, 1],
 [-8, 15, 10, -8]]

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


[User]
What is the rank of the matrix:
[[-3, 8, -19, 1],
 [17, -13, -11, -9],
 [6, -4, 11, -5],
 [13, 0, -15, -11]]?

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


[User]
What is the rank of the matrix:
[[5, -4, -12, -3],
 [-25, 8, 18, -9],
 [24, -7, -14, 10],
 [-22, 5, 8, -12]]?

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


[User]
Calculate the rank of matrix A where A =
[[28, -14, 13, 1],
 [28, -14, 16, 0],
 [22, -11, 12, -4],
 [4, -2, 9, -3]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[3, -21, 21, -24],
 [1, -17, 18, -20],
 [-2, -16, 19, -20],
 [7, 1, -6, 4]]

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


[User]
Calculate the rank of matrix A where A =
[[0, -12, -28, 8],
 [-9, 18, 7, 5],
 [3, -3, 6, -5],
 [3, -15, -24, 5]]

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


[User]
What is the rank of the matrix:
[[12, 16, 4, 8],
 [2, 9, 4, 3],
 [-20, -23, -10, -13],
 [7, 8, -1, 4]]?

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


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

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


[User]
What is the rank of the matrix:
[[3, -9, -10, -7],
 [-9, 15, 14, 5],
 [-3, 15, 18, 15],
 [3, -9, -10, -7]]?

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[11, -2, 11, 21],
 [-16, -6, -16, -11],
 [-15, -11, -15, 0],
 [9, 3, 9, 9]]

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


[User]
Calculate the rank of matrix A where A =
[[20, -14, 6, -14],
 [-12, 6, 6, -6],
 [-24, 16, -4, 12],
 [-28, 18, -2, 10]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-2, 23, 8, 8],
 [4, 24, 9, 4],
 [8, -20, 20, 16],
 [0, -5, -10, -10]]

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


[User]
What is the rank of the matrix:
[[-8, 1, 11, -6],
 [-6, -4, -7, 10],
 [-5, 1, 18, -22],
 [-14, 6, 10, 16]]?

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


[User]
Determine the rank of the following matrix:
[[-16, 4, -8, 4],
 [-31, 3, -21, 13],
 [-15, -14, -7, 4],
 [-17, -5, -10, 6]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[18, -30, -15, 3],
 [8, -14, -10, 20],
 [-4, -8, -2, -32],
 [4, -10, -4, -10]]

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


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

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


[User]
Find the rank of the matrix:
[[-1, -1, -4, 6],
 [7, -12, 13, -15],
 [-10, 10, -8, 22],
 [-7, 15, -6, 8]]

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


[User]
Calculate the rank of matrix A where A =
[[1, -6, 9, -7],
 [-19, 0, -4, 0],
 [4, -20, -14, 22],
 [21, 16, 5, -6]]

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


[User]
Calculate the rank of matrix A where A =
[[12, 11, 2, -13],
 [-4, -5, -2, 3],
 [0, 2, 2, 2],
 [-8, -5, 1, 11]]

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


[User]
Determine the rank of the following matrix:
[[3, -12, -3, 12],
 [-5, 24, 11, -28],
 [-33, 2, -8, -4],
 [18, 8, 4, -4]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[10, -2, 10, 16],
 [-28, -4, -28, 8],
 [-13, -3, -13, 10],
 [6, -2, 6, 14]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[3, 12, 3, 6],
 [-15, -12, -6, -12],
 [11, -4, 2, 4],
 [6, -8, 0, 0]]

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


[User]
Find the rank of the matrix:
[[7, 7, 12, -16],
 [0, 0, 0, 0],
 [-7, 7, 10, -4],
 [-5, 3, 4, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[6, -12, -20, 8],
 [3, 3, 4, 2],
 [12, -6, -12, 12],
 [-1, -13, -20, 2]]

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


[User]
Determine the rank of the following matrix:
[[-12, 28, 28, -8],
 [2, -8, -10, 1],
 [-6, 18, 24, 0],
 [0, 6, 14, 5]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[8, 12, 7, -10],
 [6, 2, 14, -4],
 [6, 6, 9, -6],
 [1, 3, -1, -2]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-20, 1, 14, -3],
 [5, -12, -2, 12],
 [9, -25, -6, 27],
 [5, -4, 8, -4]]

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


[User]
What is the rank of the matrix:
[[-1, -5, -5, 3],
 [-12, -20, 0, -4],
 [-2, -2, 2, -2],
 [0, -4, -6, 4]]?

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


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

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[0, 3, 0, -6],
 [0, 4, 0, -8],
 [0, 0, 0, 0],
 [0, -4, 0, 8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[12, -3, -6, 12],
 [20, 10, -12, -8],
 [0, 0, 0, 0],
 [-3, -3, 2, 4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-9, 8, 2, -12],
 [-6, 3, -1, -8],
 [-12, 16, 8, -16],
 [-3, 3, 1, -4]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[26, 20, -10, -34],
 [15, 4, -17, -13],
 [9, 11, -3, -13],
 [-13, 7, 9, 11]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-6, -6, -7, -4],
 [-4, -3, -3, -17],
 [12, 8, 12, -14],
 [-6, 0, -2, -5]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[17, -12, -6, -8],
 [-11, 8, 6, 0],
 [9, -7, -9, 10],
 [0, 1, 9, -22]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[0, 0, 0, 0],
 [0, 8, -2, 4],
 [0, 12, -3, 6],
 [0, -8, 2, -4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-5, -5, 8, 16],
 [-6, 22, -10, 8],
 [8, -16, 4, -16],
 [1, 13, -10, -8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-31, -24, -28, 18],
 [8, 20, 0, -4],
 [9, 10, 4, 0],
 [-16, -13, -12, 5]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-9, 0, -9, -12],
 [0, 0, 0, 0],
 [-6, 0, -6, -8],
 [0, 0, 0, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-8, -15, 19, 14],
 [8, 8, 8, 8],
 [-28, 21, -16, 19],
 [32, 4, 2, -18]]

Present the answer in LaTex format: \boxed{Your answer}