[User]
What is the rank of the matrix:
[[6, 4, -5, -6],
 [13, -17, 24, 9],
 [-16, -6, 7, 12],
 [-5, 13, -18, -9]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[0, -20, -12, -24],
 [0, -15, -9, -18],
 [24, -8, 6, -12],
 [-12, -11, -12, -12]]

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


[User]
What is the rank of the matrix:
[[-14, -10, -20, 4],
 [-7, -4, -8, -4],
 [6, 6, 12, -12],
 [-15, -12, -24, 12]]?

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


[User]
Find the rank of the matrix:
[[-16, -24, -4, 0],
 [12, -3, 3, 0],
 [-12, -6, -3, 0],
 [-16, -6, -4, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[-12, -13, 0, -1],
 [8, -12, -16, 20],
 [-1, -3, -1, -7],
 [-8, 8, 13, -18]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-2, -8, 6, 12],
 [-8, -6, 6, -6],
 [13, 5, -5, 19],
 [11, 8, -11, 10]]

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


[User]
Find the rank of the matrix:
[[1, 11, 14, -3],
 [2, -18, 14, -10],
 [5, -5, 4, -11],
 [-6, 14, -29, 20]]

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


[User]
Calculate the rank of matrix A where A =
[[-9, 32, -4, 23],
 [13, -8, 4, -23],
 [-8, -8, -14, 8],
 [0, -20, 7, -4]]

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


[User]
What is the rank of the matrix:
[[7, -2, 11, 0],
 [11, 3, 6, 3],
 [19, 4, 14, 9],
 [-12, 0, -8, 12]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[-12, 2, -2, -14],
 [0, 6, 18, -16],
 [3, 7, 23, -13],
 [-3, -4, -14, -2]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[11, 15, 13, 13],
 [8, 24, 12, 18],
 [15, 2, 12, 4],
 [-3, 4, 6, 8]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[1, -10, 7, -2],
 [5, 14, -13, 4],
 [7, -14, 7, -4],
 [19, -14, 1, -4]]

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[24, -32, 12, -24],
 [-10, 8, -3, 4],
 [11, -14, 9, -8],
 [-13, 14, -4, 10]]

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


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

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


[User]
What is the rank of the matrix:
[[-7, 8, -6, 1],
 [-20, 2, -28, -2],
 [-15, 18, -6, 0],
 [19, -2, 18, 5]]?

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


[User]
Determine the rank of the following matrix:
[[-7, 21, -4, -12],
 [-1, -21, 14, 12],
 [5, 11, -11, -14],
 [10, 1, -16, 11]]

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-18, 5, -12, 8],
 [16, -1, 26, 2],
 [-8, -3, 8, 15],
 [4, 5, -4, -9]]

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


[User]
Calculate the rank of matrix A where A =
[[-4, -24, -28, -16],
 [-20, 6, 10, -8],
 [-12, 12, 16, 0],
 [-3, 3, 4, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[4, -9, -2, -7],
 [-2, 15, -9, -5],
 [-20, 2, -5, -13],
 [-10, -4, 10, 9]]

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


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

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


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

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-10, -8, -10, -6],
 [-14, -17, -18, -13],
 [-7, -5, -8, -4],
 [-9, 5, -2, 4]]?

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


[User]
Determine the rank of the following matrix:
[[-2, 2, 11, -8],
 [-20, -4, 10, -8],
 [17, 4, -6, 5],
 [-10, -2, 5, -4]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[21, 7, 7, 6],
 [-18, -16, -6, 0],
 [3, 20, 1, -10],
 [-18, -1, -6, -24]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-1, 5, 12, 3],
 [5, 2, 10, -19],
 [2, -2, 0, 14],
 [9, 2, 20, 6]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-21, 14, -12, 19],
 [2, -14, -14, 6],
 [1, -11, -11, 4],
 [3, -6, 0, -6]]?

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


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

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


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

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


[User]
Find the rank of the matrix:
[[4, 6, -16, 1],
 [0, -1, 3, 0],
 [0, -4, 12, 0],
 [12, 7, -15, 3]]

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


[User]
What is the rank of the matrix:
[[6, -16, -40, 0],
 [-18, 10, -8, 12],
 [-8, 12, -12, 14],
 [4, -20, 0, -16]]?

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


[User]
Calculate the rank of matrix A where A =
[[-25, -26, 6, 24],
 [-13, -10, -5, 16],
 [-17, -3, -17, 6],
 [6, 15, -15, -10]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[8, 17, -8, -18],
 [-25, -8, -13, 4],
 [-10, -7, -2, 6],
 [-10, -7, -2, 6]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-7, -14, 13, -24],
 [-3, 5, 9, -12],
 [1, 9, -13, 28],
 [12, 3, -12, 12]]

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


[User]
Find the rank of the matrix:
[[-6, -10, 4, -8],
 [7, -11, 0, -1],
 [2, 14, -3, 10],
 [3, -7, -2, -13]]

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


[User]
Calculate the rank of matrix A where A =
[[-2, 3, 6, 5],
 [10, 1, -6, -7],
 [12, -10, -20, -2],
 [0, 3, 4, 1]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-24, -20, 8, -8],
 [-2, 3, -4, 6],
 [8, 16, -12, 16],
 [12, -4, 10, -16]]

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


[User]
Find the rank of the matrix:
[[10, 4, -14, 19],
 [20, 8, 2, 13],
 [20, -4, 8, 16],
 [-2, 4, -2, -3]]

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


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

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


[User]
What is the rank of the matrix:
[[4, -6, 0, -22],
 [11, 5, -10, -25],
 [4, 5, -6, 5],
 [-6, 0, 5, 10]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[0, -16, -8, 16],
 [-2, 5, 14, -2],
 [10, 15, -2, -6],
 [-16, -2, 9, -15]]

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


[User]
Determine the rank of the following matrix:
[[-1, 3, -1, 6],
 [5, 6, -9, -2],
 [2, 6, -6, 4],
 [-9, -12, 17, 2]]

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


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

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


[User]
Find the rank of the matrix:
[[10, -8, 1, -12],
 [-3, 15, -15, -9],
 [8, -4, -2, -12],
 [-11, 13, -6, 9]]

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


[User]
What is the rank of the matrix:
[[-11, -10, 3, 25],
 [-27, 10, 9, 17],
 [8, 1, 5, 3],
 [18, -8, -4, -6]]?

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


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

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[17, 24, 14, 6],
 [5, 1, -11, 16],
 [-30, 1, -6, 1],
 [-17, -19, -10, -7]]

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


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

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


[User]
What is the rank of the matrix:
[[6, 6, 12, -3],
 [1, 3, 4, -4],
 [1, -5, -4, 10],
 [-16, 0, -16, -20]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[0, -9, -5, 19],
 [1, 5, 4, -13],
 [7, -7, 2, 11],
 [-20, 29, -5, -29]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-17, 18, -11, -18],
 [-28, 28, -20, -28],
 [-6, 1, -10, -1],
 [-12, 9, -12, -9]]

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[19, -1, 12, 26],
 [-1, 16, -16, -1],
 [-9, -3, 4, -12],
 [-4, 4, -16, -6]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-21, -9, -18, -12],
 [-14, -6, -12, -8],
 [-3, -3, -4, -2],
 [-3, 9, 6, 0]]

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


[User]
What is the rank of the matrix:
[[-9, -12, 12, 12],
 [4, 5, -2, 0],
 [-10, -3, -13, -12],
 [21, 26, -30, -36]]?

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


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

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


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

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


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

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-8, -8, -16, -28],
 [8, 0, 10, 20],
 [2, 14, 13, 19],
 [-2, 2, -1, -3]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[14, -8, -5, 1],
 [6, 0, -4, 2],
 [-8, -17, -6, -2],
 [14, -14, -23, 7]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[16, 12, 8, -8],
 [-1, -12, 7, 9],
 [-18, -5, -15, 4],
 [-6, 1, -6, -4]]

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


[User]
What is the rank of the matrix:
[[12, 0, -12, -18],
 [-13, 9, -4, 10],
 [-3, -12, -5, -2],
 [-11, 3, 0, 10]]?

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-28, -4, -20, -4],
 [19, -8, 14, 1],
 [-6, 17, -5, 2],
 [-14, -2, -10, -2]]

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


[User]
Determine the rank of the following matrix:
[[1, 8, -20, -5],
 [24, -10, 6, -10],
 [5, 8, -7, -3],
 [-24, 16, -2, 12]]

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


[User]
Find the rank of the matrix:
[[14, -8, -8, 2],
 [12, -16, -12, 8],
 [24, -16, -15, 5],
 [-9, 12, 9, -6]]

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


[User]
Find the rank of the matrix:
[[-7, -9, -5, -6],
 [-8, -1, -10, -9],
 [-1, -5, 1, 0],
 [20, -4, 28, 24]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[12, -7, 5, 1],
 [-8, -7, -7, -19],
 [3, 8, 11, 13],
 [18, -1, 9, 17]]

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


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

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


[User]
What is the rank of the matrix:
[[-9, 5, -3, 1],
 [-15, 7, 3, -7],
 [-4, 4, -12, 12],
 [-2, 0, 6, -7]]?

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


[User]
Determine the rank of the following matrix:
[[-2, 9, -10, 9],
 [2, -26, 10, -18],
 [12, -11, 20, -3],
 [0, 26, -6, 18]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[10, -26, 16, -2],
 [9, -24, 10, 0],
 [0, 12, -7, 9],
 [-11, 18, -13, -5]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[0, 6, -8, 8],
 [4, 6, -8, 2],
 [-10, -3, 4, 11],
 [-16, -6, 8, 16]]

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


[User]
Determine the rank of the following matrix:
[[10, -7, -9, 5],
 [-5, -2, 1, 0],
 [-8, -12, -4, 4],
 [3, -1, -2, 1]]

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


[User]
Find the rank of the matrix:
[[-4, 13, -7, -4],
 [-12, -10, -18, -6],
 [8, -12, 17, 5],
 [-12, -3, -3, -12]]

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


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

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


[User]
Determine the rank of the following matrix:
[[8, 16, 12, 16],
 [-8, -1, 15, 14],
 [-20, -25, -3, -10],
 [6, 2, -9, -8]]

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


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

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[1, 17, 9, 11],
 [3, -11, 3, 9],
 [-30, -14, 20, 22],
 [11, 12, -13, -19]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[13, -1, 12, 9],
 [-10, 18, -32, 4],
 [-8, 8, -8, 6],
 [1, -5, 16, 4]]

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


[User]
Determine the rank of the following matrix:
[[9, 2, 0, -9],
 [-7, 7, 5, 1],
 [6, 10, 6, -10],
 [4, 5, 1, -10]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[9, -7, 7, -21],
 [-3, 3, -6, 15],
 [-12, 13, -12, 30],
 [3, -4, 4, -9]]

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


[User]
Find the rank of the matrix:
[[-11, -8, -3, -1],
 [24, 22, 12, 9],
 [0, -10, -12, -15],
 [17, 16, 9, 7]]

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


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

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


[User]
What is the rank of the matrix:
[[-16, 20, 28, -8],
 [1, -3, -4, 0],
 [-1, 10, 13, 2],
 [9, 1, 0, 8]]?

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


[User]
Find the rank of the matrix:
[[-9, -3, 4, 6],
 [-15, -9, -4, -8],
 [-1, -13, -10, -12],
 [-18, -30, -16, -20]]

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


[User]
Find the rank of the matrix:
[[-4, -31, 0, -31],
 [2, 12, 7, 11],
 [2, 7, -1, 8],
 [-2, -16, -5, -15]]

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


[User]
What is the rank of the matrix:
[[2, -2, -8, 0],
 [0, 8, 4, 8],
 [25, 6, -11, -4],
 [3, 5, -8, 8]]?

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[4, -10, 22, -5],
 [8, 0, 17, -2],
 [14, 10, 21, -1],
 [-22, 8, -11, -6]]

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


[User]
What is the rank of the matrix:
[[-2, 20, -16, -4],
 [8, -2, 8, 15],
 [-2, 2, -8, -1],
 [-7, 1, -12, -10]]?

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


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

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


[User]
What is the rank of the matrix:
[[4, 6, -8, 6],
 [4, 0, 1, 0],
 [-12, 2, -6, 2],
 [8, -10, 17, -10]]?

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


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

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


[User]
Find the rank of the matrix:
[[-7, 2, -8, 12],
 [2, -1, 1, -2],
 [-10, 8, 4, 0],
 [11, -10, -8, 4]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-8, -4, -2, 4],
 [4, 6, 6, -2],
 [4, -18, -24, -2],
 [6, -7, -11, -3]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-6, -6, -3, 3],
 [20, 3, 0, -19],
 [2, 2, 1, -1],
 [-4, 8, -18, 10]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[2, -9, 16, 14],
 [1, -2, -4, -6],
 [1, 2, 11, 15],
 [2, -1, 1, 1]]

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


[User]
Find the rank of the matrix:
[[-1, -11, -7, 17],
 [-6, -12, -4, 12],
 [-1, 4, 0, 2],
 [-12, -21, 3, -6]]

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


[User]
Calculate the rank of matrix A where A =
[[-29, -5, -34, -25],
 [10, 9, 11, 7],
 [5, -4, -7, 6],
 [9, 3, 20, 7]]

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


[User]
Calculate the rank of matrix A where A =
[[-10, 7, 0, 13],
 [-11, 17, -6, 14],
 [5, -5, 4, -10],
 [-5, -2, -1, 12]]

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


[User]
Find the rank of the matrix:
[[-6, 12, -12, 9],
 [-8, 16, -16, 12],
 [-5, 8, -10, 3],
 [0, -4, 0, -9]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[4, -18, 8, -16],
 [1, 4, 12, -22],
 [-1, 12, -12, 14],
 [-4, 2, 8, 2]]

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


[User]
Calculate the rank of matrix A where A =
[[8, -1, -3, 5],
 [-4, 3, -12, -14],
 [4, 2, 1, -25],
 [-20, 3, -12, 2]]

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


[User]
Calculate the rank of matrix A where A =
[[-7, 5, 8, -9],
 [-13, 18, -4, -11],
 [26, -10, 0, 7],
 [-33, 9, 0, -6]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[2, 24, -32, 9],
 [-12, 1, 0, 6],
 [-17, 0, 2, 8],
 [-8, 18, -16, 16]]

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


[User]
What is the rank of the matrix:
[[-8, -9, -4, 13],
 [16, 4, -16, -4],
 [-6, -5, 0, 7],
 [0, 7, 12, -11]]?

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


[User]
Determine the rank of the following matrix:
[[-7, -9, -14, -2],
 [17, 7, 31, 18],
 [7, 8, 26, 6],
 [-18, 9, 8, -24]]

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


[User]
Find the rank of the matrix:
[[-13, 16, 7, 27],
 [-18, 19, 8, 7],
 [-10, 7, 6, 6],
 [-25, 26, 11, 7]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-20, 4, 0, 0],
 [-8, 10, 24, -18],
 [7, 0, 4, -3],
 [-10, 9, 20, -15]]?

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


[User]
What is the rank of the matrix:
[[6, 7, 17, 4],
 [9, 3, 15, -6],
 [4, -2, 2, -8],
 [3, -4, -2, -10]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[-3, 13, 8, 5],
 [-2, 6, -12, 16],
 [-1, -1, 10, -9],
 [-3, 5, -2, 7]]

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


[User]
What is the rank of the matrix:
[[-12, 3, 15, -15],
 [-12, 3, 15, -15],
 [-15, 2, 18, -18],
 [-14, 0, 16, -16]]?

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[8, -8, 0, -6],
 [-8, 4, -8, 6],
 [4, -1, 6, -3],
 [-16, 13, -6, 12]]

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


[User]
Find the rank of the matrix:
[[-14, -4, 4, 10],
 [-16, 8, 16, 16],
 [-14, -4, 4, 10],
 [0, -22, -20, -8]]

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


[User]
Find the rank of the matrix:
[[-14, -10, 20, 4],
 [-2, 15, -10, 12],
 [-28, 18, -8, 32],
 [14, -23, -2, -28]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-3, -3, -11, -8],
 [3, 3, 11, 8],
 [6, -12, -8, -14],
 [3, 3, 11, 8]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-4, -10, 8, -6],
 [-4, -10, 8, -6],
 [2, 5, -4, 3],
 [1, -1, 1, 0]]

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


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

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


[User]
Find the rank of the matrix:
[[22, -16, 8, 18],
 [-9, 8, 31, 3],
 [15, -14, 17, -3],
 [22, -19, 17, 3]]

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


[User]
Calculate the rank of matrix A where A =
[[-9, 9, 11, 2],
 [10, -1, 4, 15],
 [7, -4, 0, 13],
 [-1, 4, -3, -21]]

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


[User]
Determine the rank of the following matrix:
[[0, 0, -8, -12],
 [-12, -24, 4, -12],
 [-5, 4, -15, -23],
 [9, 12, -1, 9]]

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


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

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


[User]
Find the rank of the matrix:
[[-3, -32, -22, -12],
 [-7, 7, 14, 1],
 [-5, -25, -14, -8],
 [-1, 11, 10, -1]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[6, 1, 1, 0],
 [-27, 5, -2, -2],
 [0, 7, 9, -8],
 [-23, -3, -6, 2]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-12, -9, -6, 6],
 [8, -20, -12, 2],
 [1, -19, -6, -2],
 [-7, 16, 12, -4]]

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


[User]
What is the rank of the matrix:
[[8, 6, 10, 2],
 [-9, 23, 8, 5],
 [3, -11, -5, -2],
 [1, -17, -11, -2]]?

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


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

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


[User]
Find the rank of the matrix:
[[4, 0, 5, -2],
 [-17, 0, -24, 25],
 [17, 0, 24, -25],
 [-13, 0, -18, 17]]

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


[User]
Calculate the rank of matrix A where A =
[[15, 18, -3, 21],
 [-22, -12, 8, -21],
 [0, -9, 9, -8],
 [-24, -9, 3, -19]]

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


[User]
Find the rank of the matrix:
[[4, 4, 8, 4],
 [-12, 2, -2, -13],
 [10, -11, -15, 12],
 [11, 4, 1, 14]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[3, 2, 9, -1],
 [3, -5, 0, -5],
 [5, 8, 21, 1],
 [7, 0, 15, -5]]

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


[User]
Determine the rank of the following matrix:
[[0, -2, -20, -14],
 [0, 0, 0, 0],
 [-14, -5, -1, -7],
 [-2, 1, 17, 11]]

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


[User]
What is the rank of the matrix:
[[10, 24, 12, -12],
 [6, 16, 8, -10],
 [-6, -16, -8, 10],
 [0, -4, -2, 7]]?

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


[User]
Determine the rank of the following matrix:
[[15, 16, -2, -16],
 [-3, -6, 4, -6],
 [-15, -17, 2, 14],
 [12, 15, -10, 0]]

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


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

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


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

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


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

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-29, -7, 16, 7],
 [-20, -6, 11, 7],
 [2, 10, -4, 2],
 [0, -2, 1, -3]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-8, -15, -10, 7],
 [8, 11, 10, -9],
 [0, 10, -8, 15],
 [12, 14, 20, -21]]

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


[User]
Find the rank of the matrix:
[[10, 0, 12, 21],
 [-4, 2, -8, -12],
 [-12, -19, 16, 9],
 [4, 13, -16, -15]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[6, 4, 12, -3],
 [-5, 4, -12, 5],
 [7, 0, 0, -16],
 [0, -20, 22, 5]]

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


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

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


[User]
Find the rank of the matrix:
[[30, -12, -30, -6],
 [10, 8, -15, -11],
 [-3, -6, 6, 6],
 [22, -7, -24, -2]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-9, -10, 11, 4],
 [11, -2, -1, -4],
 [-3, -14, 13, 2],
 [-10, 12, -8, 3]]

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


[User]
What is the rank of the matrix:
[[4, -2, -2, -20],
 [-11, -2, 3, -5],
 [1, -2, -1, -17],
 [-2, -2, 0, -14]]?

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


[User]
Find the rank of the matrix:
[[-1, 4, 27, -26],
 [0, -1, -24, 24],
 [-18, 13, 6, 0],
 [-12, 3, 24, -22]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-17, 1, 10, -6],
 [-13, -5, -8, -12],
 [15, 3, -5, 9],
 [21, -4, 7, 9]]

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


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

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


[User]
Find the rank of the matrix:
[[-8, -2, 2, -2],
 [-28, -9, 5, -6],
 [-12, -1, 5, -4],
 [-12, -13, -7, 2]]

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


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

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


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

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


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

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-2, 18, -2, -4],
 [-6, 4, -16, -22],
 [8, 1, 4, 9],
 [3, -21, -2, 0]]?

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


[User]
Find the rank of the matrix:
[[-3, 13, -8, -5],
 [3, 8, 8, -7],
 [0, 4, 24, -16],
 [-4, 1, -6, 0]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-11, 27, 26, 7],
 [4, -12, -4, 4],
 [23, -7, 2, 8],
 [20, -24, -10, 7]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-26, -7, -7, 18],
 [-15, -4, -7, 12],
 [6, 1, -9, -1],
 [4, 1, 3, -4]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-12, 10, -4, 4],
 [-4, -13, 1, 6],
 [4, 6, 0, -4],
 [12, -17, 5, -2]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-9, -14, 14, 2],
 [-25, -20, 3, -5],
 [-16, -12, -12, 0],
 [12, 8, -11, 7]]

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


[User]
Find the rank of the matrix:
[[-8, 0, -10, 22],
 [-2, -9, 20, -8],
 [-6, 2, 6, -4],
 [-5, -9, 7, 12]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[11, -1, 14, -3],
 [11, -15, 12, 10],
 [8, 12, 12, -14],
 [-12, 10, -14, -5]]

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


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

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[8, 6, 11, 11],
 [2, -24, 19, 19],
 [-10, 0, -5, -5],
 [12, 12, 9, 9]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-5, 13, 14, -14],
 [-22, 4, 0, 0],
 [-13, -8, -12, 12],
 [-16, -4, -8, 8]]

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


[User]
Determine the rank of the following matrix:
[[25, 10, -17, -4],
 [-10, -14, 10, -6],
 [3, -8, -5, -16],
 [-16, -24, 24, 0]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-7, -1, 0, 13],
 [2, 5, 3, 4],
 [-3, -16, -5, -15],
 [-17, 0, -23, 11]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[23, -19, 0, -2],
 [2, -9, 17, 5],
 [-12, -1, 19, 14],
 [-25, 11, 14, 16]]

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


[User]
Find the rank of the matrix:
[[0, 7, -2, 9],
 [16, -3, 10, 3],
 [17, -1, 10, 6],
 [-5, -3, -2, -6]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[6, -4, 8, 0],
 [7, -8, 18, 0],
 [-12, 8, -16, 0],
 [0, 5, -13, 0]]

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


[User]
Determine the rank of the following matrix:
[[-13, -5, 7, -5],
 [12, 16, -16, 16],
 [23, 15, 0, 15],
 [-11, 0, -4, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[8, -20, 6, 6],
 [-21, 26, -20, -20],
 [10, 4, 10, 10],
 [-5, -14, -8, -8]]

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


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

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


[User]
What is the rank of the matrix:
[[-1, -9, 12, -6],
 [3, 14, -11, 9],
 [-8, 6, -18, 6],
 [-26, 0, -6, 6]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[-20, 17, 11, 1],
 [16, -10, -10, 4],
 [0, -12, 4, -16],
 [-16, 10, 10, -4]]

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


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

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


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

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[9, 6, -3, 10],
 [-18, -6, 9, -21],
 [9, 6, -3, 10],
 [9, -12, -12, 13]]

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


[User]
What is the rank of the matrix:
[[8, -28, -12, 0],
 [1, 16, 6, 6],
 [0, 0, 0, 0],
 [-11, 6, 4, -10]]?

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


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

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-22, -10, 16, -16],
 [-18, -9, 12, -14],
 [-20, -14, 8, -20],
 [-7, -4, 4, -6]]

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


[User]
Find the rank of the matrix:
[[-11, 20, -2, -4],
 [-19, 16, -1, -14],
 [13, 8, 13, 2],
 [6, 16, 10, 0]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[10, 10, 0, -15],
 [5, 10, 0, -15],
 [-16, 2, 0, -3],
 [19, 2, 0, -3]]

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


[User]
Calculate the rank of matrix A where A =
[[7, 0, -2, -5],
 [12, 3, 0, -6],
 [14, 0, -4, -10],
 [6, -2, -4, -6]]

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-3, 12, 12, 15],
 [4, -8, -9, -14],
 [5, 4, 1, -7],
 [-3, 4, 5, 9]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-3, -4, -4, -4],
 [2, 8, 8, 7],
 [13, -4, -4, 0],
 [1, -20, -20, -16]]

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


[User]
Determine the rank of the following matrix:
[[-24, 6, 6, -15],
 [-12, -3, -9, -12],
 [-27, 3, 0, -19],
 [-20, -6, -14, -18]]

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


[User]
Calculate the rank of matrix A where A =
[[-12, -32, -8, -16],
 [10, 24, 12, 12],
 [-4, -8, -8, -4],
 [0, 8, -16, 4]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-12, -8, -4, 16],
 [8, -4, 6, -6],
 [24, 2, 13, -25],
 [-25, 2, -15, 24]]

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


[User]
Find the rank of the matrix:
[[-11, 8, -7, 19],
 [-8, 10, 0, 10],
 [-13, 16, -9, 13],
 [-11, 13, -12, 10]]

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-14, 14, 22, 10],
 [-4, -4, -12, -12],
 [0, 7, 16, 13],
 [-8, 13, 24, 15]]

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


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

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


[User]
Determine the rank of the following matrix:
[[8, 11, 11, -7],
 [-6, -15, -15, 6],
 [-8, -20, -20, 8],
 [24, -12, -12, -16]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[12, 3, -4, -9],
 [-7, -1, 6, 3],
 [2, 28, 14, -14],
 [-5, -1, 20, -7]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[2, 10, 2, -16],
 [-1, 5, 6, -10],
 [9, 15, 0, -16],
 [0, -2, -23, 0]]

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


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

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


[User]
Determine the rank of the following matrix:
[[37, -5, -7, 28],
 [15, -3, -9, 4],
 [9, -5, 6, 12],
 [-22, 6, 10, -8]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[0, 0, -8, 11],
 [-15, 4, 20, -6],
 [-3, -12, 12, -21],
 [12, 0, -16, 7]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-22, -1, -4, -1],
 [-14, -5, 0, -1],
 [6, 7, 10, 9],
 [-26, 5, -12, -3]]

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


[User]
What is the rank of the matrix:
[[2, -3, -1, -1],
 [8, 6, -2, -2],
 [-17, -6, 5, 5],
 [-14, -6, 4, 4]]?

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


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

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


[User]
What is the rank of the matrix:
[[-10, 16, 14, -2],
 [-7, 0, -9, -13],
 [0, 7, 11, 5],
 [23, -21, -6, 20]]?

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


[User]
What is the rank of the matrix:
[[10, 10, -25, -12],
 [14, 1, 4, 4],
 [3, -7, 4, 5],
 [4, -4, -6, 0]]?

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


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

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


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

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


[User]
What is the rank of the matrix:
[[7, 4, 11, 6],
 [-1, -8, -7, -16],
 [-7, 8, -9, 8],
 [-9, -3, -13, -4]]?

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


[User]
Determine the rank of the following matrix:
[[-9, 18, -2, 8],
 [8, -32, -4, -24],
 [13, -17, 18, 3],
 [4, 13, 0, 15]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[8, -6, 5, 13],
 [4, -4, 8, 6],
 [4, -8, 13, 15],
 [14, 6, -14, -13]]

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


[User]
What is the rank of the matrix:
[[10, -3, -20, 2],
 [6, 7, 4, -10],
 [8, 2, -8, -4],
 [2, 6, 8, -8]]?

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


[User]
Determine the rank of the following matrix:
[[-14, -8, -7, -6],
 [6, 8, -5, -2],
 [0, -4, 7, 4],
 [-9, -2, -10, -7]]

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


[User]
Determine the rank of the following matrix:
[[-12, 4, 5, 1],
 [-12, 8, 22, -30],
 [-2, 6, 7, -21],
 [7, -11, 0, 18]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-9, -10, -16, 1],
 [-11, -13, -20, 2],
 [17, 15, 28, 2],
 [-4, -6, -8, 2]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-18, 2, -10, 10],
 [-23, -4, -12, 10],
 [-17, -4, -18, 14],
 [-15, -14, -20, 12]]

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


[User]
Calculate the rank of matrix A where A =
[[16, 16, -16, -8],
 [-8, -8, 9, 3],
 [12, 12, -6, -12],
 [4, 4, -5, -1]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-8, -13, -9, 6],
 [-12, -18, -10, 10],
 [0, 3, 7, 2],
 [-4, -8, -8, 2]]

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-9, -19, -8, -12],
 [-18, 4, 14, -6],
 [-21, -7, 8, -12],
 [-21, -7, 8, -12]]?

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


[User]
Determine the rank of the following matrix:
[[-12, -21, -3, 3],
 [2, 0, -10, 10],
 [8, 13, -1, 1],
 [16, 28, 4, -4]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[9, 2, -2, 13],
 [9, 23, 10, 4],
 [-24, -2, 19, -18],
 [3, 17, 0, -16]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-12, -2, -9, -20],
 [8, 4, -2, 8],
 [8, 6, -8, 4],
 [16, 11, -13, 10]]

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


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

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


[User]
Determine the rank of the following matrix:
[[10, 9, -4, -3],
 [0, 24, 16, 12],
 [-4, -15, -1, -2],
 [-6, -18, -21, -12]]

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


[User]
Determine the rank of the following matrix:
[[8, 4, 12, -4],
 [-4, 18, -6, 17],
 [-2, 7, -3, 7],
 [6, -13, 9, -15]]

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


[User]
Calculate the rank of matrix A where A =
[[2, -20, 15, 18],
 [5, -16, 15, 10],
 [0, 20, -13, -20],
 [8, 0, 12, 2]]

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[6, -20, -24, -18],
 [10, -6, -8, -8],
 [-12, 8, 0, 12],
 [21, 9, 12, 0]]

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


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

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


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

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


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

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[11, -4, 1, -2],
 [8, -6, 10, -4],
 [34, -17, 19, -10],
 [-6, 13, -14, 10]]

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


[User]
Determine the rank of the following matrix:
[[-4, 21, -2, 24],
 [8, -8, -6, -10],
 [-18, -1, 11, 2],
 [0, 10, -1, 11]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[7, 4, 16, -16],
 [1, 0, -4, 0],
 [10, 3, -7, -12],
 [0, -2, -22, 8]]

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


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

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


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

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[6, 8, -8, -4],
 [4, 1, -7, 1],
 [-5, -24, 0, 18],
 [-8, -28, 4, 20]]

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


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

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


[User]
What is the rank of the matrix:
[[3, 2, 0, -2],
 [6, 4, 0, -4],
 [-5, -2, -2, 3],
 [-10, 4, -16, 4]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[8, 20, -9, -19],
 [-2, -8, 0, 7],
 [0, 12, 9, -9],
 [6, -4, -21, 0]]

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


[User]
Determine the rank of the following matrix:
[[24, 16, 0, -16],
 [21, 16, 2, -13],
 [-6, 0, 4, 6],
 [3, 4, 2, -1]]

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


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

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


[User]
Determine the rank of the following matrix:
[[0, -2, 0, -10],
 [-17, 9, 0, -6],
 [-12, 4, 0, -16],
 [-7, 3, 0, -6]]

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


[User]
Determine the rank of the following matrix:
[[-8, -4, -16, -16],
 [8, 2, 6, 2],
 [-6, -1, -2, 2],
 [0, 2, 10, 14]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-8, 19, -17, -16],
 [-13, 13, -7, -4],
 [5, -7, 5, 4],
 [-4, -10, 14, 16]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-4, -8, -16, -4],
 [2, 8, 16, 0],
 [-2, 0, 0, -4],
 [6, 10, 20, 7]]?

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


[User]
Find the rank of the matrix:
[[-18, 15, 9, -18],
 [-10, -1, 19, -10],
 [-16, 8, 16, -16],
 [-8, 8, 2, -8]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-7, -10, -4, 4],
 [-6, 4, -16, 0],
 [-4, -20, 20, 4],
 [13, 12, 8, -4]]?

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


[User]
Calculate the rank of matrix A where A =
[[1, 0, 8, 13],
 [-18, -25, 6, 16],
 [20, 28, -8, -20],
 [-12, -16, 0, 4]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[6, -1, 0, 3],
 [-1, 13, -12, -4],
 [9, -6, 6, 6],
 [-2, 1, -6, -2]]

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


[User]
Determine the rank of the following matrix:
[[-16, 24, -10, -2],
 [-18, 24, -12, 2],
 [24, -32, 12, -4],
 [14, -20, 20, 4]]

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


[User]
Calculate the rank of matrix A where A =
[[18, -15, 1, -8],
 [-12, 16, 32, 4],
 [-9, 0, -12, -9],
 [-9, 15, 15, 15]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[1, -10, -8, 7],
 [12, 24, 17, 9],
 [-8, -2, -2, -6],
 [5, 14, 14, -15]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-6, -5, 23, -8],
 [-8, -16, 5, 8],
 [-4, 8, -3, -16],
 [0, 6, 33, -16]]

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


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

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


[User]
Find the rank of the matrix:
[[3, -15, -10, -37],
 [-9, 5, -2, 23],
 [0, 2, 1, 8],
 [15, 16, 24, 8]]

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


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

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


[User]
Find the rank of the matrix:
[[12, 15, 0, -3],
 [-8, -10, 0, 2],
 [4, 11, -4, -9],
 [-16, 4, -16, -28]]

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


[User]
Find the rank of the matrix:
[[-13, 13, -16, 10],
 [7, -7, 24, -14],
 [-11, 11, -2, 2],
 [-10, 10, -20, 12]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-5, -15, 8, 17],
 [-9, -6, -15, -3],
 [2, 13, -13, -18],
 [4, 11, -5, -12]]

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


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

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


[User]
Determine the rank of the following matrix:
[[4, 12, -7, 16],
 [-8, -20, 12, -24],
 [4, 12, -7, 16],
 [2, 5, -3, 6]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-6, 4, 2, 0],
 [-10, 8, 10, -12],
 [7, -5, -4, 3],
 [13, -9, -6, 3]]

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


[User]
Find the rank of the matrix:
[[-2, -8, 4, -14],
 [7, 17, -14, 5],
 [-10, -22, 20, 2],
 [6, 16, -12, 10]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-22, 16, 10, -10],
 [1, -10, 14, 2],
 [-16, 16, 10, -14],
 [6, 4, -20, 4]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-4, 0, -12, -4],
 [12, 12, 0, 0],
 [24, 20, 12, 4],
 [-20, -16, -12, -4]]

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-3, -4, 2, -1],
 [13, 6, -4, 11],
 [-7, -15, 7, 1],
 [0, 0, 0, 0]]

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


[User]
Find the rank of the matrix:
[[-11, 7, -24, 1],
 [25, -5, 36, 1],
 [11, -7, 12, -9],
 [3, -11, 10, -11]]

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


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

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


[User]
What is the rank of the matrix:
[[10, 17, -2, 6],
 [-12, -20, 0, -4],
 [0, -2, 12, -16],
 [6, 9, 6, -6]]?

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


[User]
Find the rank of the matrix:
[[4, -6, 5, 7],
 [4, -4, 1, -1],
 [-16, 20, -12, -12],
 [-8, 8, -2, 2]]

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


[User]
What is the rank of the matrix:
[[0, 13, 4, 3],
 [-4, -7, -15, 12],
 [7, 3, 26, -24],
 [-2, 2, -8, 8]]?

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-4, -9, 15, -5],
 [0, -4, -36, -4],
 [5, 11, 16, 6],
 [-3, 12, -5, 15]]?

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


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

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-28, -4, -16, 0],
 [0, 0, 0, 0],
 [5, 5, -1, 9],
 [-16, 2, -13, 9]]?

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


[User]
Determine the rank of the following matrix:
[[-8, 4, -20, -12],
 [-11, -2, -10, -4],
 [14, 2, 14, 6],
 [-5, 1, -9, -5]]

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


[User]
What is the rank of the matrix:
[[-10, 17, -18, -16],
 [-14, 15, -14, -16],
 [-4, 20, -24, -16],
 [4, -20, 24, 16]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[3, 8, -20, -5],
 [-3, -4, 4, -11],
 [-1, -5, 16, 11],
 [0, 0, 0, 0]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[2, -2, -14, -14],
 [4, -10, -20, -22],
 [-4, 4, 28, 28],
 [0, -12, 16, 12]]?

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-34, -9, 5, 0],
 [22, -8, 1, -7],
 [-6, -11, 1, -2],
 [16, 16, 4, -4]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-19, 8, -16, -7],
 [6, -2, 4, 3],
 [16, -6, 12, 7],
 [4, 0, 0, 4]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-10, 4, -6, 2],
 [3, -10, 13, -15],
 [4, 16, -20, 28],
 [9, -8, 11, -9]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[9, 20, 31, 7],
 [-6, -4, -20, -8],
 [-3, 19, -11, -19],
 [-4, -19, -16, -4]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-9, -2, -15, -16],
 [-9, -8, 1, -16],
 [6, 3, -15, -14],
 [6, -3, 16, 4]]

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


[User]
Calculate the rank of matrix A where A =
[[-10, -4, 14, 9],
 [7, 2, -10, -5],
 [-6, 1, -2, 1],
 [-11, 5, 4, -4]]

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


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

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[2, 3, -6, -6],
 [2, 8, -5, 11],
 [12, -24, -18, 6],
 [-10, 5, 19, -7]]

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


[User]
Determine the rank of the following matrix:
[[20, -14, 14, 1],
 [-20, 11, 4, 11],
 [8, -6, 8, 2],
 [-28, 18, -10, 5]]

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


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

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


[User]
Find the rank of the matrix:
[[6, 4, 8, 14],
 [-6, -4, -8, -17],
 [6, 4, 8, -1],
 [-9, -6, -12, -9]]

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


[User]
Find the rank of the matrix:
[[19, 22, -15, 7],
 [19, 22, -15, 7],
 [-20, -24, 16, -4],
 [-4, -8, 4, 12]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[7, 3, -1, 6],
 [18, 18, 10, 20],
 [-8, -6, -2, -8],
 [-12, -18, -14, -16]]

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


[User]
What is the rank of the matrix:
[[3, -3, 4, 0],
 [4, 0, -8, -4],
 [7, -6, 6, 2],
 [-6, 12, -28, -3]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-10, -5, -14, 2],
 [-4, 16, 16, -16],
 [-12, -12, -24, 8],
 [-7, 13, 10, -14]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[4, 1, -4, -8],
 [-12, -12, 12, 28],
 [-7, -12, 9, 19],
 [5, -8, -1, -5]]

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


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

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


[User]
What is the rank of the matrix:
[[-17, 2, -9, 1],
 [-16, -20, -12, 8],
 [-18, 8, -12, -6],
 [-25, -8, -15, 5]]?

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


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

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


[User]
Find the rank of the matrix:
[[-4, -20, -4, 16],
 [-14, -6, -2, 0],
 [3, -19, -13, -12],
 [0, 20, 12, 8]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-4, -24, 0, 15],
 [6, -8, 2, 5],
 [2, -13, 1, 7],
 [7, -4, 3, 10]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-4, 9, 12, 0],
 [-4, 14, -8, 12],
 [-2, 8, 1, 6],
 [-7, 7, 11, -9]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[0, 12, 14, 16],
 [2, 2, 3, 4],
 [18, 0, 6, 12],
 [2, 2, 3, 4]]?

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-2, -12, -19, -12],
 [6, 6, -11, -16],
 [18, 36, 19, -4],
 [-2, -2, -15, -16]]

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


[User]
Calculate the rank of matrix A where A =
[[0, 10, 9, 7],
 [-3, 20, 10, -4],
 [21, 8, 8, 12],
 [-12, 8, 10, 9]]

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


[User]
Determine the rank of the following matrix:
[[6, 8, -8, -6],
 [-13, 0, 8, 5],
 [-12, 10, 2, 0],
 [-2, -7, 5, 4]]

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


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

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


[User]
What is the rank of the matrix:
[[9, -9, -24, -15],
 [0, 12, 12, 3],
 [-9, -3, 12, 12],
 [-6, 14, 24, 12]]?

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


[User]
Find the rank of the matrix:
[[4, 6, 7, 1],
 [6, 4, 18, 9],
 [4, 6, 7, 1],
 [0, -4, 6, 6]]

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


[User]
Determine the rank of the following matrix:
[[0, 5, 1, 0],
 [-12, -14, 11, -6],
 [-16, -26, 24, -5],
 [-12, -15, 18, -4]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[3, 9, -18, -3],
 [-2, 13, -17, -4],
 [3, -1, 12, 5],
 [-11, -4, 7, -3]]

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


[User]
Determine the rank of the following matrix:
[[-2, -9, 14, -3],
 [1, 3, -4, 1],
 [-7, -15, 16, -5],
 [-3, 0, -6, 0]]

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


[User]
Determine the rank of the following matrix:
[[-1, 2, -6, 9],
 [5, -5, -15, 5],
 [-8, 6, 9, 5],
 [5, 0, -15, 10]]

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


[User]
Calculate the rank of matrix A where A =
[[11, -9, 2, 1],
 [3, 15, 9, 17],
 [-1, -19, -10, -19],
 [-7, -9, -13, -13]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-11, 13, 16, -13],
 [-4, 8, 8, -6],
 [-1, -25, -16, 9],
 [7, 13, 4, 0]]

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


[User]
Find the rank of the matrix:
[[-10, -16, -1, -27],
 [6, 4, -13, -8],
 [-10, -6, 13, 4],
 [-12, -28, 14, -27]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-5, -1, 7, 0],
 [6, 11, -7, -21],
 [-10, -9, 13, 15],
 [-8, 4, 12, -12]]

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


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

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


[User]
Determine the rank of the following matrix:
[[8, 0, -2, -20],
 [2, 11, 2, 14],
 [-5, -14, -5, -1],
 [-8, -21, -4, -12]]

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


[User]
Find the rank of the matrix:
[[6, -13, 8, -12],
 [14, -24, 25, -9],
 [0, 4, 4, 12],
 [4, -5, 9, 3]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[1, 2, 0, -6],
 [7, 6, 22, 13],
 [1, 2, 0, -6],
 [3, -2, -4, -12]]

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


[User]
Calculate the rank of matrix A where A =
[[-11, 16, -4, -4],
 [-5, 6, -5, 2],
 [-12, 18, -3, -6],
 [-6, 8, -4, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[-8, 24, 8, -4],
 [-4, 2, 9, -10],
 [-12, 20, 20, 4],
 [-1, -5, 5, -3]]

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


[User]
What is the rank of the matrix:
[[-1, 2, 0, 8],
 [15, 6, -7, 4],
 [-4, -12, -13, -20],
 [-3, 6, 12, 12]]?

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


[User]
What is the rank of the matrix:
[[-2, -4, 2, 1],
 [14, 12, 6, 13],
 [6, 16, -11, -8],
 [4, 4, 1, 3]]?

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


[User]
Find the rank of the matrix:
[[-7, 6, 8, 0],
 [4, -2, -9, -9],
 [-1, 2, -8, -10],
 [2, -6, 7, 25]]

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


[User]
Calculate the rank of matrix A where A =
[[10, -9, -1, 20],
 [-6, 3, 1, -8],
 [-16, 4, 1, -14],
 [26, 10, -7, -4]]

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


[User]
Determine the rank of the following matrix:
[[-4, 0, -14, 14],
 [3, -6, 9, -8],
 [-3, 10, 4, -3],
 [-7, 18, -11, 10]]

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


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

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


[User]
Determine the rank of the following matrix:
[[7, 7, 3, 0],
 [-7, -12, 17, 5],
 [1, 6, -17, -5],
 [-5, -8, 8, 3]]

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


[User]
Determine the rank of the following matrix:
[[-22, 8, 18, -16],
 [-20, 4, 16, -12],
 [16, -5, -13, 11],
 [-14, 1, 11, -7]]

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


[User]
What is the rank of the matrix:
[[-2, -9, -1, 18],
 [1, 0, 11, -17],
 [14, -14, 14, -8],
 [-4, 5, -9, 8]]?

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


[User]
Calculate the rank of matrix A where A =
[[-16, 8, 16, 24],
 [16, -8, -16, -24],
 [0, -6, 6, 9],
 [-12, 16, 2, 3]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-12, 0, -12, 10],
 [11, 9, 21, -5],
 [11, 9, 18, 2],
 [5, 3, 11, -9]]

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


[User]
Determine the rank of the following matrix:
[[0, -4, 4, 8],
 [0, 13, -4, -8],
 [0, 2, 4, 8],
 [0, -17, 8, 16]]

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


[User]
What is the rank of the matrix:
[[-11, -4, 10, -15],
 [17, 18, 0, 3],
 [-8, 3, 3, -9],
 [16, 9, 9, -3]]?

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


[User]
Calculate the rank of matrix A where A =
[[14, 0, -4, -10],
 [-8, 5, 11, 11],
 [4, -5, -6, 6],
 [19, -2, -9, -16]]

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


[User]
What is the rank of the matrix:
[[-3, 3, 5, -5],
 [-15, 13, 15, -6],
 [-3, 28, 20, 5],
 [-3, 1, 3, -4]]?

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


[User]
Calculate the rank of matrix A where A =
[[-7, -20, -3, 10],
 [2, -5, -17, -15],
 [0, 15, -5, -1],
 [-6, -30, 6, 12]]

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


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

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


[User]
What is the rank of the matrix:
[[5, -1, 21, 12],
 [-3, 0, -18, -12],
 [-6, 3, -9, 0],
 [-4, 2, -6, 0]]?

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-7, 3, -2, 5],
 [-13, 7, 2, 15],
 [10, -2, 12, 2],
 [8, 0, 16, 8]]

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


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

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


[User]
What is the rank of the matrix:
[[22, 16, -12, -16],
 [13, -4, 23, -4],
 [12, -12, 33, -12],
 [-6, -4, 0, 0]]?

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


[User]
Calculate the rank of matrix A where A =
[[11, -13, 3, 10],
 [-4, 1, -5, -17],
 [12, -12, -3, -3],
 [-3, 0, -2, -9]]

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


[User]
Calculate the rank of matrix A where A =
[[-11, 10, -13, 4],
 [-14, 12, 11, -6],
 [4, -2, 28, -4],
 [-15, 13, 18, -8]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[13, -10, 7, 5],
 [8, -20, -8, 20],
 [7, 5, 13, -10],
 [9, 0, 11, -5]]

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


[User]
Calculate the rank of matrix A where A =
[[19, -5, 13, -14],
 [8, -11, 13, -10],
 [-15, -7, -1, 6],
 [-9, -12, 6, 0]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[19, -10, 8, 1],
 [1, -2, -4, 15],
 [10, 14, -10, 28],
 [-3, -2, 0, -1]]

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


[User]
What is the rank of the matrix:
[[10, -8, -7, 7],
 [28, -4, -9, 33],
 [-9, 6, 3, -15],
 [4, -28, -11, 3]]?

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


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

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


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

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[12, -20, -17, -3],
 [0, -16, -10, -6],
 [8, 8, 2, 6],
 [-12, -12, -3, -9]]?

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


[User]
Calculate the rank of matrix A where A =
[[4, -16, -16, 4],
 [-1, -16, -6, 19],
 [14, -4, -6, 10],
 [6, -12, -4, 22]]

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


[User]
What is the rank of the matrix:
[[-10, 11, -7, -6],
 [2, -6, 12, 13],
 [-20, -5, -3, 10],
 [-20, 14, -4, 1]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[8, -8, -4, 11],
 [-4, 4, -16, -4],
 [11, -11, -16, 16],
 [-11, 11, 4, -15]]

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


[User]
What is the rank of the matrix:
[[9, -7, -10, -6],
 [9, 1, -12, 6],
 [12, -24, 10, -30],
 [0, -4, 4, -6]]?

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


[User]
Find the rank of the matrix:
[[-8, -16, 9, -5],
 [-1, -17, 3, -5],
 [-1, 7, 0, 2],
 [1, -7, 0, -2]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[12, 0, 6, 6],
 [-4, 12, 0, -16],
 [18, 6, 10, 2],
 [7, -3, 3, 7]]

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


[User]
Find the rank of the matrix:
[[-2, 7, 5, -12],
 [-12, 8, 16, -16],
 [14, 2, -14, 0],
 [8, -11, -13, 20]]

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


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

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


[User]
What is the rank of the matrix:
[[-2, 21, -9, 3],
 [1, 3, -3, 3],
 [6, -18, 2, 6],
 [-4, -12, 12, -12]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[11, 17, 3, -12],
 [-10, -4, -18, 16],
 [-3, -3, -3, 4],
 [-5, -11, 3, 4]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-4, 4, -12, 4],
 [-21, 18, -15, -2],
 [20, -18, 12, -2],
 [-28, 24, -12, -4]]

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


[User]
What is the rank of the matrix:
[[4, 17, 7, 28],
 [-2, 8, 6, 4],
 [3, -18, -12, -8],
 [-4, -20, -8, -24]]?

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


[User]
Calculate the rank of matrix A where A =
[[5, 3, -10, 0],
 [5, 21, -10, 0],
 [4, -12, -8, 0],
 [2, 3, -4, 0]]

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


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

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


[User]
Find the rank of the matrix:
[[-12, 0, 3, 18],
 [-12, 0, 3, 18],
 [-6, -24, 21, -6],
 [6, -8, 5, -14]]

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[14, -10, -15, -13],
 [10, -2, -12, -12],
 [-4, -8, 7, 5],
 [-5, 21, 1, 6]]?

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


[User]
Calculate the rank of matrix A where A =
[[4, -4, 16, 9],
 [-4, 4, 2, 0],
 [18, -18, 15, 12],
 [-8, 8, -20, -12]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[15, 8, 4, 5],
 [-6, -28, 1, 0],
 [9, 4, 0, 13],
 [15, 8, 2, 13]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-16, -16, -12, -4],
 [10, 8, 13, 6],
 [2, 4, -4, -3],
 [-18, -20, -8, -1]]

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


[User]
Calculate the rank of matrix A where A =
[[14, 17, -10, -5],
 [-10, -1, 9, 11],
 [-12, 0, 11, 14],
 [18, 15, -14, -11]]

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


[User]
What is the rank of the matrix:
[[-15, 19, -4, 9],
 [15, -30, 9, -17],
 [-4, -3, 3, 0],
 [0, -5, 2, -6]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[10, 2, -18, -8],
 [11, 5, -15, -10],
 [-10, -2, 18, 8],
 [0, 0, 0, 0]]

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


[User]
What is the rank of the matrix:
[[0, 4, 9, -7],
 [-11, -4, -6, 0],
 [-9, -12, -6, 12],
 [16, 10, 5, -5]]?

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


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

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


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

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-2, -4, 14, 4],
 [9, -10, 7, 10],
 [-9, 2, 13, -2],
 [12, -12, 6, 12]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-1, -4, -24, -20],
 [-4, 20, -6, 10],
 [16, -20, 4, -8],
 [-5, -6, 0, -6]]

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


[User]
Find the rank of the matrix:
[[13, 0, -16, -3],
 [10, 0, -16, -2],
 [-12, -3, 12, 4],
 [-6, -9, 24, 3]]

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


[User]
Calculate the rank of matrix A where A =
[[-15, -4, 13, 10],
 [17, 4, -11, -6],
 [-7, -1, 0, -4],
 [8, 2, -6, -4]]

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


[User]
Find the rank of the matrix:
[[-1, 3, 4, 4],
 [5, 14, 6, 18],
 [3, 7, -8, 5],
 [-9, 1, -8, -6]]

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


[User]
Determine the rank of the following matrix:
[[4, -8, -3, 4],
 [4, 7, 6, 1],
 [24, 2, 12, 14],
 [28, -1, 12, 17]]

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


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

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


[User]
Determine the rank of the following matrix:
[[10, -4, 24, -2],
 [-9, 12, -1, -10],
 [13, -3, 14, 7],
 [7, -8, 11, 2]]

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


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

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


[User]
What is the rank of the matrix:
[[16, 8, -8, 4],
 [8, -6, -6, 2],
 [-8, 6, 6, -2],
 [28, -6, -18, 7]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[-10, -6, -14, 0],
 [-5, 16, 13, -11],
 [28, -29, -4, 19],
 [-4, 12, 10, -9]]

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


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

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


[User]
What is the rank of the matrix:
[[-8, 32, 4, -28],
 [-4, 8, 8, -8],
 [2, -8, -1, 7],
 [6, -16, -9, 15]]?

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


[User]
Determine the rank of the following matrix:
[[0, 0, -12, 8],
 [9, 12, 0, 17],
 [6, 8, -1, 12],
 [6, 8, -4, 14]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[0, 7, -12, -2],
 [0, -11, -9, 18],
 [0, 6, -21, 4],
 [0, 14, -9, -12]]

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


[User]
Find the rank of the matrix:
[[-4, 10, -6, 2],
 [-8, 13, -7, 4],
 [-4, -11, 9, 2],
 [-4, -4, 4, 2]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-15, 8, 2, 14],
 [6, 8, 16, -28],
 [16, -36, -25, 0],
 [-10, 8, -2, 20]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[8, -2, 18, -16],
 [-4, 1, 15, -10],
 [-12, 3, -19, 18],
 [4, -1, 9, -8]]

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


[User]
What is the rank of the matrix:
[[12, 6, 15, 12],
 [6, -15, 9, -18],
 [16, 12, 11, 20],
 [-18, -17, -11, -27]]?

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


[User]
Calculate the rank of matrix A where A =
[[-4, 12, -12, 0],
 [-5, -17, 17, -16],
 [0, 0, 0, 0],
 [-8, 0, 0, -12]]

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


[User]
Find the rank of the matrix:
[[10, -16, -4, 5],
 [6, -16, 4, 3],
 [12, -16, -8, 6],
 [0, 0, 0, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-18, 0, -16, 11],
 [-4, -1, 5, 24],
 [-6, 0, -10, -8],
 [-8, 4, -4, 12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[5, 0, 1, 2],
 [2, -27, -24, 24],
 [2, 3, 3, -2],
 [7, -18, -14, 20]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-8, 0, 2, 2],
 [-12, 0, 3, 3],
 [-16, 0, 4, 4],
 [8, 0, -2, -2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-7, 4, 4, 7],
 [-4, -2, -2, 9],
 [-8, 8, 8, 4],
 [2, 4, 4, -8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-3, -3, -3, 1],
 [12, 12, 12, -4],
 [3, 3, 3, -1],
 [-9, -9, -9, 3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[3, 12, 12, 3],
 [-1, -4, -4, -1],
 [-4, -16, -16, -4],
 [-1, -4, -4, -1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[0, -2, 8, -8],
 [12, -16, 4, -8],
 [-9, 10, 5, -2],
 [0, -2, 8, -8]]

Present the answer in LaTex format: \boxed{Your answer}