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

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


[User]
Determine the rank of the following matrix:
[[-5, 7, 8, -11],
 [-9, 9, 17, -15],
 [-1, 7, 11, -17],
 [-8, 4, 7, -2]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[13, -6, 15, 18],
 [-8, 15, -9, -13],
 [10, 1, 7, 1],
 [-8, 7, -5, -1]]

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


[User]
Determine the rank of the following matrix:
[[4, 5, 1, -4],
 [12, 15, 3, -12],
 [-8, -12, 12, -6],
 [16, 2, -24, 12]]

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


[User]
Find the rank of the matrix:
[[4, 3, 8, -4],
 [13, 17, -9, -22],
 [-3, -5, 16, 8],
 [-7, -11, 13, 14]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[7, 11, 10, -1],
 [-4, -2, -4, 4],
 [0, 6, 8, 0],
 [14, 6, 8, -10]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[4, 0, -4, -14],
 [4, -2, 0, -23],
 [6, 2, -10, -12],
 [2, -7, 3, 14]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[8, 4, -12, 4],
 [14, -3, 9, 2],
 [-16, 2, -6, -3],
 [4, 4, -12, 3]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-8, -8, -24, -32],
 [6, -6, 0, 0],
 [4, 4, 12, 16],
 [8, -8, 0, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[2, 18, 1, -11],
 [-8, -2, 0, 4],
 [1, -11, 9, 22],
 [2, -7, 6, 14]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[1, 1, -7, -19],
 [15, 25, 15, 3],
 [17, 25, 13, 1],
 [14, 15, 6, 2]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[0, 0, 14, -16],
 [-6, 9, 5, -4],
 [-4, 6, 8, -8],
 [12, -18, -10, 8]]

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


[User]
Find the rank of the matrix:
[[3, 2, -14, -5],
 [-8, -2, -6, -10],
 [6, 19, 7, 20],
 [4, -23, -7, -16]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[5, 20, -2, 16],
 [-8, -16, 0, -12],
 [-8, 4, -4, 5],
 [-4, -8, 0, -6]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[-8, 10, -4, 6],
 [13, -13, 3, -8],
 [-16, 11, -1, 11],
 [-8, 15, -11, 11]]

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


[User]
Find the rank of the matrix:
[[0, -7, 11, 0],
 [-1, 0, 4, -19],
 [0, -1, -2, 20],
 [-13, 7, -4, 5]]

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


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

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


[User]
What is the rank of the matrix:
[[21, 15, -12, 9],
 [-10, -14, 10, 12],
 [-12, -4, 4, -16],
 [-7, -5, 4, -3]]?

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[3, 3, -8, 12],
 [-25, -11, -4, -12],
 [12, 4, 16, -8],
 [-24, -10, -4, -10]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[11, -12, -1, -6],
 [6, -6, -2, -4],
 [2, -3, 2, 0],
 [1, -3, 5, 2]]

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


[User]
Find the rank of the matrix:
[[0, 12, 6, -22],
 [-14, 18, 3, 5],
 [-6, -4, 1, 10],
 [18, 0, -9, -8]]

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


[User]
What is the rank of the matrix:
[[22, -6, 16, -8],
 [-10, -2, -12, -7],
 [-12, 8, -4, 15],
 [12, -4, 8, -6]]?

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


[User]
Calculate the rank of matrix A where A =
[[2, 12, -17, 15],
 [14, -18, 3, 7],
 [-8, 15, -15, 11],
 [-15, 15, 0, -9]]

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[15, 10, -16, -12],
 [9, 2, -8, -8],
 [3, 9, -6, -1],
 [-12, -11, 14, 9]]

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


[User]
Determine the rank of the following matrix:
[[14, 19, 12, -2],
 [-2, -8, 5, -8],
 [7, -4, 11, -1],
 [-2, -17, -2, 10]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[19, -10, -21, 11],
 [-10, -14, 7, -5],
 [11, -14, -13, 7],
 [21, -6, -22, 12]]

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


[User]
Determine the rank of the following matrix:
[[-3, 15, -25, 21],
 [11, 7, -7, 1],
 [-16, -8, -7, 15],
 [-8, -4, -12, 16]]

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


[User]
Find the rank of the matrix:
[[-12, -12, -20, -24],
 [-11, 4, 10, 8],
 [27, -16, -4, 8],
 [4, -14, -8, -4]]

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


[User]
What is the rank of the matrix:
[[18, -5, -12, 1],
 [6, -15, -9, 12],
 [-8, -12, 0, 12],
 [-24, -4, 12, 8]]?

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


[User]
What is the rank of the matrix:
[[-19, 10, 2, -6],
 [-8, 12, 8, -20],
 [-19, 6, 4, -1],
 [-24, 8, 8, -4]]?

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


[User]
What is the rank of the matrix:
[[-14, 22, -2, 4],
 [-18, 28, -2, 2],
 [-5, 11, 13, 4],
 [7, -15, -16, -6]]?

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


[User]
Find the rank of the matrix:
[[0, -9, 9, 3],
 [12, 24, -12, 0],
 [0, 6, -38, 22],
 [-6, -3, 21, -21]]

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


[User]
Determine the rank of the following matrix:
[[-16, 10, 8, 2],
 [-16, 10, 8, 2],
 [16, -13, -14, -5],
 [-12, 5, 1, -1]]

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


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

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


[User]
Determine the rank of the following matrix:
[[8, -4, 8, -8],
 [6, -6, 7, -7],
 [6, 0, 5, -5],
 [-2, 13, -6, 6]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[8, 8, -2, 20],
 [0, 8, 2, -4],
 [12, 8, -4, 32],
 [-4, -16, -2, -4]]

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


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

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


[User]
What is the rank of the matrix:
[[15, 9, 3, 18],
 [-4, -12, -2, 6],
 [-4, -4, -1, -3],
 [-15, -17, -4, -9]]?

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


[User]
What is the rank of the matrix:
[[-12, -8, -16, -16],
 [-13, -10, 4, 0],
 [15, 11, 4, 7],
 [-3, -1, -20, -17]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[12, 0, -36, 20],
 [9, 1, -29, 19],
 [8, -5, -11, -6],
 [-6, -2, 4, -22]]

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


[User]
Calculate the rank of matrix A where A =
[[12, 6, -9, -12],
 [16, 8, -12, -16],
 [18, 10, -7, -6],
 [9, 6, 3, 9]]

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


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

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


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

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[7, -4, -5, 17],
 [3, 4, -1, -3],
 [0, 0, 0, 0],
 [0, 10, 2, -18]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[3, -4, 3, -2],
 [20, -12, -11, 0],
 [-14, 6, 13, 16],
 [-1, -10, 23, -6]]

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


[User]
What is the rank of the matrix:
[[-9, 14, 5, 22],
 [0, 8, 8, 16],
 [-12, 8, -4, 8],
 [6, -12, -6, -20]]?

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


[User]
What is the rank of the matrix:
[[-11, -11, 2, 4],
 [-19, -18, 2, 4],
 [-10, -6, -4, -8],
 [-10, -6, -4, -8]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[18, -4, -22, 4],
 [-17, 10, 1, 0],
 [-5, 0, 0, 31],
 [15, -6, -12, 9]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[6, -14, -2, -12],
 [-3, 5, -1, 9],
 [4, -6, 2, -13],
 [5, -13, -3, -8]]

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


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

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


[User]
Find the rank of the matrix:
[[2, 0, -10, 8],
 [0, 2, 9, -4],
 [13, 20, 25, 12],
 [7, 12, 19, 4]]

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


[User]
Determine the rank of the following matrix:
[[-4, -2, -14, 18],
 [20, -32, -14, 22],
 [-4, -2, -24, 28],
 [12, -12, 11, -11]]

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


[User]
Find the rank of the matrix:
[[22, -11, 5, 16],
 [-20, 11, -13, 4],
 [6, -21, -2, 8],
 [-21, 11, -9, -6]]

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


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

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


[User]
Find the rank of the matrix:
[[-6, 12, 5, -20],
 [-12, 0, -4, -8],
 [-12, -12, -11, 8],
 [-6, 12, 5, -20]]

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


[User]
Find the rank of the matrix:
[[21, 4, 18, -24],
 [2, 10, 1, -8],
 [-3, -20, 6, 12],
 [-3, -8, -12, 12]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-5, -5, 6, 3],
 [-4, -16, -12, -12],
 [7, -4, 1, 9],
 [-11, -15, -11, -18]]

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


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

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


[User]
Find the rank of the matrix:
[[24, 0, 13, 8],
 [-8, 22, -26, -16],
 [-8, -2, -11, 2],
 [-12, 18, -29, -13]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-14, 4, -2, -2],
 [18, -4, -1, 3],
 [4, -8, 22, -2],
 [-7, -6, 24, -4]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[15, -12, -14, -1],
 [9, -12, -10, -5],
 [0, 12, 4, 11],
 [10, -16, -12, -8]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-12, -6, 3, 0],
 [-19, -6, 2, 3],
 [-17, 2, -4, 9],
 [-2, 16, -8, 20]]

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


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

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


[User]
What is the rank of the matrix:
[[-8, 20, 11, 8],
 [-4, 16, 8, 8],
 [-3, 0, 1, -2],
 [15, -12, -10, 2]]?

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


[User]
Find the rank of the matrix:
[[12, 5, 23, -4],
 [-19, -1, -15, 9],
 [5, 0, 12, -13],
 [-16, 1, -5, 6]]

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


[User]
Determine the rank of the following matrix:
[[4, 4, 8, -12],
 [-14, 23, -14, -16],
 [7, -7, 7, 2],
 [-20, 24, -12, -16]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-10, 0, -2, -22],
 [12, 12, -3, 24],
 [-11, 16, 14, -4],
 [-9, 16, 0, -14]]

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


[User]
Find the rank of the matrix:
[[10, -26, -2, -34],
 [7, -7, 5, -11],
 [1, -8, -5, -10],
 [4, -10, -4, -14]]

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


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

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


[User]
What is the rank of the matrix:
[[8, -18, -8, -6],
 [10, -14, 4, 16],
 [1, -5, -2, -2],
 [-11, 5, 2, -4]]?

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


[User]
Find the rank of the matrix:
[[25, -25, -2, -26],
 [14, -19, -10, -8],
 [5, -2, 0, -6],
 [-12, 14, 9, 7]]

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


[User]
What is the rank of the matrix:
[[2, 6, 12, 0],
 [8, -6, 6, -6],
 [17, -19, 4, -14],
 [4, 12, 24, 0]]?

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-2, -2, -10, 8],
 [-7, 9, 1, 12],
 [9, -15, -9, -12],
 [9, -15, -9, -12]]?

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


[User]
Calculate the rank of matrix A where A =
[[4, -4, -12, -12],
 [3, -3, -9, -9],
 [-1, 0, -4, -3],
 [2, 1, 15, 12]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[2, -1, 28, -6],
 [-3, -3, -24, 9],
 [-3, -6, 12, 0],
 [2, 6, -16, 0]]

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


[User]
Determine the rank of the following matrix:
[[0, -8, 12, -6],
 [0, -6, 13, 5],
 [0, 2, 19, 5],
 [0, -8, -3, -16]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[16, -4, -12, -4],
 [-8, 1, 5, -1],
 [-18, 5, 11, 0],
 [8, -3, -5, -1]]

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


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

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


[User]
What is the rank of the matrix:
[[6, 9, 8, -6],
 [0, 9, 12, 9],
 [-6, -12, -12, 3],
 [-14, -19, -16, 16]]?

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


[User]
Calculate the rank of matrix A where A =
[[-20, -6, -12, 9],
 [-9, 3, -6, 21],
 [-21, 8, -22, 0],
 [5, 16, -2, 18]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-1, -1, -13, -6],
 [13, 13, 19, 5],
 [-15, -15, 12, 21],
 [6, 6, -11, -12]]

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


[User]
Determine the rank of the following matrix:
[[-8, 4, -4, -28],
 [6, 1, 6, 18],
 [-6, -9, -12, -12],
 [4, 14, 14, 2]]

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-3, -24, 14, 3],
 [9, 16, -10, -9],
 [-9, 12, -6, 9],
 [-3, 4, -2, 3]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-6, -12, -6, 0],
 [2, -10, -12, 6],
 [16, 11, -5, 9],
 [8, 16, 8, 0]]?

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


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

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


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

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[8, -11, 2, -11],
 [-6, 18, 5, 18],
 [-4, 13, 4, 13],
 [6, -3, 5, -3]]?

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


[User]
Find the rank of the matrix:
[[-2, 8, -12, -10],
 [-2, -25, 12, -13],
 [14, 16, -18, 4],
 [4, -6, -14, -24]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[20, -14, 5, 6],
 [12, 8, -15, -4],
 [-20, -21, 16, 4],
 [4, -7, 8, 4]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[10, -16, 6, 12],
 [-15, -3, 3, -9],
 [1, -25, 11, 9],
 [-2, 14, -6, -6]]

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


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

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


[User]
Find the rank of the matrix:
[[10, -3, 5, -3],
 [0, 8, -10, -12],
 [-4, -6, 7, 12],
 [-2, -13, 16, 21]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[6, 14, 6, -7],
 [-6, -16, -6, 11],
 [2, 4, 2, -1],
 [0, -2, 0, 4]]

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-12, -1, 6, -9],
 [0, -7, 18, 4],
 [-1, -1, 1, -1],
 [13, -7, 11, 13]]

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


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

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


[User]
What is the rank of the matrix:
[[-8, 18, 9, 6],
 [9, -19, -7, -3],
 [-2, 2, -4, -6],
 [7, -15, -6, -3]]?

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


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

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


[User]
Find the rank of the matrix:
[[-16, -2, 12, -9],
 [-4, -7, 3, 5],
 [-16, 0, 12, -14],
 [-16, -4, 12, -7]]

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


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

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


[User]
Find the rank of the matrix:
[[6, 5, 2, 0],
 [-6, 10, 8, 10],
 [0, 0, 0, 0],
 [9, -15, -12, -15]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[16, 19, -28, 6],
 [-1, 3, 5, 8],
 [4, -19, 8, -11],
 [-13, 11, -15, -13]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[0, 0, 0, 0],
 [-12, -4, 13, -2],
 [-11, 1, 9, -10],
 [20, 4, -20, 8]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[21, -3, -6, -3],
 [-1, 3, 0, -5],
 [-6, 8, 1, -12],
 [2, 4, -1, -8]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-1, 12, 5, -11],
 [-5, -20, 1, 9],
 [-1, 12, 5, -11],
 [-3, 6, 6, -9]]

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


[User]
Determine the rank of the following matrix:
[[1, -7, 1, 1],
 [-27, 21, -18, 15],
 [4, -4, 4, -2],
 [-14, 22, -1, 5]]

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


[User]
What is the rank of the matrix:
[[-13, 8, 7, 20],
 [19, -8, -25, 4],
 [-9, 4, 11, 0],
 [3, -2, -1, -6]]?

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


[User]
What is the rank of the matrix:
[[3, 5, -14, -1],
 [1, -1, -10, 1],
 [-4, -18, -4, 7],
 [2, 14, 12, -6]]?

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


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

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


[User]
Find the rank of the matrix:
[[-8, -4, -15, 7],
 [4, 0, 17, -1],
 [-6, -4, -2, 14],
 [-8, -6, -10, 2]]

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


[User]
What is the rank of the matrix:
[[-8, -18, -24, 0],
 [16, 10, -4, 16],
 [8, 11, 10, 4],
 [0, -1, -2, 4]]?

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


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

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


[User]
Find the rank of the matrix:
[[-1, 3, 10, 0],
 [-5, 15, 8, -14],
 [-3, 9, 0, -10],
 [0, 0, -9, -3]]

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


[User]
Calculate the rank of matrix A where A =
[[0, 4, -20, -24],
 [12, -22, 2, 6],
 [-2, 2, 8, 9],
 [4, -4, -16, -18]]

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


[User]
Calculate the rank of matrix A where A =
[[-2, 4, 0, 1],
 [5, -10, -3, -6],
 [10, -20, 12, 9],
 [6, -12, 12, 11]]

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


[User]
Find the rank of the matrix:
[[20, -9, 5, 10],
 [-28, 12, -8, -6],
 [0, -3, 10, -17],
 [-6, -3, 14, -22]]

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


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

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


[User]
Determine the rank of the following matrix:
[[0, 17, 1, 9],
 [6, 2, -12, -12],
 [-16, -7, 3, 13],
 [19, -4, 10, -13]]

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


[User]
What is the rank of the matrix:
[[8, -18, 0, 4],
 [-6, 12, -6, 6],
 [3, 1, -5, 21],
 [-6, 15, 0, -1]]?

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[4, 4, 10, -22],
 [-3, 8, -13, 0],
 [0, -4, 2, 6],
 [1, 6, 0, -13]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-31, -20, 8, -11],
 [-6, -1, 8, -7],
 [0, -4, -10, 8],
 [-2, 0, -4, 6]]

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


[User]
What is the rank of the matrix:
[[20, -2, 1, 2],
 [-9, 10, 0, 10],
 [-2, 10, -2, 16],
 [-4, 18, 16, -8]]?

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


[User]
What is the rank of the matrix:
[[-13, -4, -20, 16],
 [2, 16, 0, 16],
 [-15, -10, -22, 12],
 [3, -6, 6, -12]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[-4, -12, -2, -2],
 [-16, 8, -16, 6],
 [20, -20, 24, -28],
 [4, 4, 4, -6]]

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


[User]
Determine the rank of the following matrix:
[[-3, 10, -6, -34],
 [-1, -20, -12, 2],
 [10, 9, 13, 9],
 [2, -16, 0, 28]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-15, 11, -9, -13],
 [-5, 9, -12, -11],
 [5, 7, -6, 7],
 [2, -2, 12, 20]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-8, -8, -8, 10],
 [-7, 10, -14, 18],
 [10, 4, 4, 4],
 [7, -2, 13, -19]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[5, 8, -4, -1],
 [12, 0, 0, -12],
 [2, 8, -4, 2],
 [-3, -12, 6, -3]]

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


[User]
Calculate the rank of matrix A where A =
[[15, -5, -4, 9],
 [5, 40, 26, -20],
 [-33, -19, -12, -1],
 [-6, -33, -22, 17]]

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


[User]
Calculate the rank of matrix A where A =
[[-16, 10, 2, 7],
 [-16, 6, 6, 13],
 [-4, 7, -4, -5],
 [12, -17, 8, 9]]

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


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

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


[User]
Determine the rank of the following matrix:
[[15, -12, -9, 12],
 [4, -2, -8, 0],
 [-6, 9, -16, -16],
 [-12, 9, 10, -8]]

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


[User]
Determine the rank of the following matrix:
[[-5, 1, -13, -16],
 [5, 7, -1, 8],
 [-1, -7, 10, 4],
 [4, -4, 16, 16]]

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


[User]
Find the rank of the matrix:
[[2, 14, -16, -2],
 [5, -5, -8, 11],
 [3, 6, -12, 3],
 [-5, 0, 12, -9]]

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


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

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


[User]
Find the rank of the matrix:
[[2, -10, 5, -8],
 [1, 19, -22, 4],
 [-8, 11, -12, 2],
 [-6, -26, 28, -8]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[4, 2, 14, 13],
 [-4, 2, -10, -15],
 [-2, 6, 0, -10],
 [0, 2, 2, -1]]

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


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

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


[User]
Find the rank of the matrix:
[[12, 4, -12, -16],
 [-14, 14, 6, 8],
 [24, -20, -12, -16],
 [8, 12, -12, -16]]

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


[User]
Determine the rank of the following matrix:
[[8, 16, 12, 12],
 [5, 5, 6, 1],
 [9, 13, 12, 7],
 [14, 8, 15, -5]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-3, 0, 7, -1],
 [10, -8, -20, -2],
 [-2, -8, 8, -6],
 [3, -24, 3, -15]]

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


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

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-8, -2, 6, 11],
 [-11, 7, -8, 7],
 [12, 0, -4, -14],
 [11, -7, 8, -7]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[7, -4, -20, -2],
 [-6, 0, 8, 4],
 [-12, 3, 24, 6],
 [-4, 1, 8, 2]]

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


[User]
Determine the rank of the following matrix:
[[-19, -12, -16, -20],
 [-15, -10, -12, -16],
 [5, 0, 8, 4],
 [-4, 8, -16, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[12, -15, 4, 22],
 [-6, 2, -24, 0],
 [-9, 12, 0, -18],
 [-3, 3, -4, -4]]

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


[User]
Calculate the rank of matrix A where A =
[[8, 2, 6, -6],
 [-8, 5, 7, 13],
 [-3, -6, -12, -3],
 [10, 6, 14, -4]]

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


[User]
Determine the rank of the following matrix:
[[2, -7, -12, 3],
 [-10, -9, 4, -9],
 [-2, -7, -14, 3],
 [-8, -18, -4, -9]]

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


[User]
What is the rank of the matrix:
[[-10, -6, -3, 2],
 [4, 5, -17, 7],
 [-2, -2, 5, -2],
 [-20, -14, 8, -2]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[7, 9, 7, -13],
 [8, 10, 10, -18],
 [12, 16, 8, -16],
 [4, 6, -2, 2]]

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


[User]
Calculate the rank of matrix A where A =
[[1, -6, 10, 8],
 [3, -2, 6, 0],
 [-1, 6, -10, -8],
 [5, -6, 14, 4]]

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


[User]
Calculate the rank of matrix A where A =
[[-12, -12, 8, -16],
 [-15, -8, 1, -16],
 [-4, -5, 8, 6],
 [-6, -18, 17, -22]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[0, -6, 4, 2],
 [10, 14, -6, -13],
 [-16, -20, 8, 20],
 [2, -3, 8, 10]]

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[22, -6, -13, 17],
 [-4, 3, 10, 2],
 [-24, 9, 6, -22],
 [0, -9, 0, -4]]

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


[User]
Determine the rank of the following matrix:
[[14, 4, -3, 0],
 [-8, -12, -21, 6],
 [-1, -16, -9, 12],
 [-1, -4, 0, 3]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[8, 4, -28, 20],
 [-6, -3, 21, -15],
 [-6, 0, 12, -12],
 [8, 3, -25, 19]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[6, -7, 9, -1],
 [9, -28, 24, 17],
 [8, -10, 9, 12],
 [-13, 4, -5, -15]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[7, 2, -17, -11],
 [4, 2, -4, -9],
 [9, -19, 3, 12],
 [-15, 2, 5, 22]]

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


[User]
Determine the rank of the following matrix:
[[6, -5, -11, -6],
 [-4, 7, 0, -7],
 [-8, 9, 10, 1],
 [4, -6, -2, 4]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-16, 12, 0, 0],
 [-6, 2, 0, -6],
 [8, -17, 0, -12],
 [12, -24, 0, -18]]

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


[User]
Calculate the rank of matrix A where A =
[[15, 7, 8, -9],
 [-14, -10, -12, 10],
 [-16, -4, -4, 8],
 [1, 10, 13, -5]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[3, 4, 2, -4],
 [0, -2, -13, 5],
 [14, 18, 5, -17],
 [5, 8, 12, -10]]

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


[User]
Determine the rank of the following matrix:
[[-1, 3, 0, -4],
 [8, -4, 4, 16],
 [7, -11, 2, 20],
 [-11, 13, -4, -28]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-16, 12, 4, 12],
 [7, -3, -7, -9],
 [-9, 3, 11, 13],
 [8, 0, -16, -16]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[4, -6, 4, 6],
 [6, -9, -4, -1],
 [0, 0, 8, 8],
 [-4, 6, 24, 22]]

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


[User]
Find the rank of the matrix:
[[3, -4, 0, 1],
 [5, 6, 4, -25],
 [8, -15, 1, 11],
 [3, 9, 3, -26]]

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


[User]
What is the rank of the matrix:
[[3, -3, 12, 0],
 [12, 0, 12, -12],
 [-9, -5, 6, 14],
 [-12, -3, -3, 15]]?

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-5, 7, 20, -7],
 [1, -8, -16, 2],
 [6, 5, 4, 1],
 [-3, -3, -12, 15]]

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


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

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


[User]
Find the rank of the matrix:
[[-14, -4, 6, -2],
 [-7, -10, 15, 2],
 [8, 0, 0, 2],
 [5, 14, -21, -4]]

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


[User]
What is the rank of the matrix:
[[-6, 6, -3, -15],
 [-6, 4, 3, -7],
 [16, -8, -14, 6],
 [6, -1, -12, -5]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[7, 6, 24, 8],
 [1, -6, -18, -10],
 [-4, -8, -28, -12],
 [3, 6, 21, 9]]

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


[User]
What is the rank of the matrix:
[[15, 0, 9, 0],
 [-11, 13, -8, -18],
 [4, 6, 2, -28],
 [1, 12, -1, 8]]?

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


[User]
What is the rank of the matrix:
[[4, 0, 3, -1],
 [-2, -5, 6, -12],
 [5, 9, -7, 7],
 [2, -8, 8, 8]]?

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


[User]
Calculate the rank of matrix A where A =
[[-9, 0, 6, -6],
 [2, -2, 10, 0],
 [9, -3, 11, 4],
 [-16, 4, -12, -8]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-4, 2, -8, 3],
 [-9, -1, -19, 19],
 [2, -4, 10, -3],
 [-3, -8, 7, 5]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[9, -21, 6, 23],
 [-1, -23, 0, 27],
 [-25, 25, -20, -25],
 [11, -23, 12, 25]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[21, 6, -1, -29],
 [-18, -12, 3, 9],
 [-22, -4, 6, 30],
 [-6, -3, 6, 0]]

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


[User]
What is the rank of the matrix:
[[-9, 20, -25, 11],
 [8, -24, 28, -12],
 [-5, -6, 2, 0],
 [-10, 16, -22, 10]]?

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


[User]
What is the rank of the matrix:
[[-3, -5, -6, 1],
 [-15, -18, -9, -2],
 [6, 10, 12, -2],
 [9, 11, 6, 1]]?

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-20, 8, 4, -4],
 [-14, 7, 0, -2],
 [9, -12, 15, -3],
 [17, -11, 5, 1]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-15, 3, 5, 1],
 [-15, 3, 5, 1],
 [-9, -3, 7, -1],
 [18, -6, -4, -2]]

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


[User]
Determine the rank of the following matrix:
[[-1, 0, -2, 4],
 [-9, -8, -2, 10],
 [-16, -16, 0, 12],
 [-24, -28, 8, 5]]

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


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

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


[User]
Find the rank of the matrix:
[[4, 0, -4, 6],
 [12, 27, 12, -4],
 [8, 17, 2, -24],
 [16, 12, -10, -6]]

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


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

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


[User]
Find the rank of the matrix:
[[6, -6, 1, 2],
 [-8, -8, 4, -8],
 [-8, -20, 8, -12],
 [6, 9, -4, 7]]

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


[User]
What is the rank of the matrix:
[[-2, -6, -1, -4],
 [-2, 12, 14, -18],
 [4, 0, 2, -8],
 [3, 13, 4, 5]]?

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-12, -8, -1, -1],
 [6, 14, 8, -2],
 [-9, -17, -9, 2],
 [9, -3, -6, 3]]?

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


[User]
Determine the rank of the following matrix:
[[-7, 10, 6, -3],
 [24, 22, -4, 28],
 [2, -2, -8, -2],
 [-2, -19, 1, -5]]

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


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

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


[User]
Find the rank of the matrix:
[[14, 0, 10, 10],
 [-8, 0, -4, -4],
 [12, 0, 10, 10],
 [4, 0, 4, 4]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-9, -18, 0, -15],
 [-4, -8, -28, -8],
 [5, 10, 26, 3],
 [-4, -8, -18, 10]]

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


[User]
What is the rank of the matrix:
[[10, -4, 14, -12],
 [2, -3, 4, -3],
 [3, 12, -3, 0],
 [-15, 6, -21, 18]]?

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


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

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


[User]
What is the rank of the matrix:
[[7, -9, 1, -6],
 [1, -12, -2, 2],
 [-5, 0, -2, 6],
 [4, 12, 4, -8]]?

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[3, -9, 6, 3],
 [12, -4, -16, -28],
 [-7, 9, 1, 8],
 [0, 4, -5, -5]]

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


[User]
Determine the rank of the following matrix:
[[4, 2, -10, 12],
 [8, 4, -16, 16],
 [-2, -1, 8, -12],
 [10, 5, -14, 8]]

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


[User]
What is the rank of the matrix:
[[10, -4, -8, -14],
 [3, 9, 8, 2],
 [4, 2, 24, 6],
 [6, 21, -8, -5]]?

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


[User]
Calculate the rank of matrix A where A =
[[-4, 14, -14, 22],
 [5, 18, -6, 13],
 [0, 10, -6, 10],
 [10, -18, 16, -18]]

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


[User]
What is the rank of the matrix:
[[2, -2, 9, 3],
 [-2, -4, -21, -15],
 [8, -22, -16, -4],
 [-6, 17, 9, 6]]?

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


[User]
What is the rank of the matrix:
[[-10, 23, -3, 6],
 [-4, 19, -9, 5],
 [-2, 10, 12, 3],
 [4, 2, 12, 1]]?

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


[User]
Determine the rank of the following matrix:
[[0, 9, -5, 9],
 [4, 7, -11, 3],
 [-4, -7, 11, -3],
 [7, 1, -13, -6]]

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


[User]
Determine the rank of the following matrix:
[[-8, -8, -4, -16],
 [1, -11, 8, -13],
 [4, 4, 2, 8],
 [1, 5, -2, 7]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[15, -20, -5, -9],
 [9, -9, -2, 20],
 [-3, 7, 2, 24],
 [0, 0, 0, 8]]?

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


[User]
What is the rank of the matrix:
[[12, 12, -3, 9],
 [4, 4, -1, 3],
 [-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 =
[[10, 13, -12, 2],
 [-6, -7, 4, 2],
 [-12, -15, 12, 0],
 [-4, -4, 0, 4]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-4, 0, -16, 12],
 [5, 10, -12, 2],
 [2, -4, -2, 4],
 [9, -4, -12, 11]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[1, 2, -4, 0],
 [-1, -5, 2, 1],
 [4, -4, -24, 4],
 [1, -7, -10, 3]]

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


[User]
Determine the rank of the following matrix:
[[17, -13, 2, -10],
 [18, -18, 0, -8],
 [10, -8, 22, -1],
 [20, -22, 2, -7]]

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


[User]
Determine the rank of the following matrix:
[[6, 10, 2, 14],
 [3, 3, -1, -1],
 [27, 17, -7, -4],
 [-3, 12, 0, 1]]

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


[User]
Calculate the rank of matrix A where A =
[[2, -6, -4, -1],
 [8, 24, 16, -20],
 [4, 12, 8, -10],
 [4, -6, -4, -4]]

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


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

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


[User]
Find the rank of the matrix:
[[5, -14, 7, 3],
 [7, 9, 20, -12],
 [-14, 15, -1, -3],
 [-22, 11, -8, 3]]

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


[User]
Find the rank of the matrix:
[[18, 18, 2, -21],
 [-20, -20, 0, 24],
 [-9, -9, 4, 12],
 [-9, -9, 4, 12]]

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


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

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


[User]
Find the rank of the matrix:
[[-8, 5, 12, -11],
 [-11, -9, 7, 5],
 [24, 5, -27, -4],
 [-5, 2, 10, 7]]

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


[User]
What is the rank of the matrix:
[[9, 12, 12, 15],
 [-6, -2, -8, -8],
 [-9, 2, 8, 0],
 [8, 7, 24, 19]]?

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-22, -21, 1, -18],
 [-1, -3, -6, 4],
 [-4, -12, -24, 16],
 [-16, -3, 13, 6]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[6, 12, 6, 9],
 [-10, -8, -10, 18],
 [8, 2, 3, -17],
 [-17, -8, 3, 8]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-9, 13, -10, -10],
 [-13, 18, -14, -13],
 [2, 1, 0, -5],
 [-7, 14, -10, -15]]

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


[User]
Calculate the rank of matrix A where A =
[[-15, -14, -12, -6],
 [3, 0, 8, 11],
 [-6, -6, -4, -1],
 [18, 20, 8, -4]]

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


[User]
What is the rank of the matrix:
[[13, -7, -13, 0],
 [-1, -5, 1, -8],
 [1, 5, -1, 8],
 [-11, -1, 11, -10]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[15, -9, -18, 0],
 [-9, 3, 10, 2],
 [-3, -3, 2, 4],
 [3, -3, -4, 1]]

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


[User]
Find the rank of the matrix:
[[16, -7, -18, -9],
 [16, -10, -12, -18],
 [-4, 1, 6, 0],
 [-12, 5, 14, 6]]

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


[User]
Determine the rank of the following matrix:
[[-1, -8, 14, -3],
 [-5, -8, 22, -11],
 [4, 2, -16, 12],
 [-1, 28, -34, -3]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[0, -2, 4, -8],
 [6, -4, 5, -13],
 [8, 1, -6, 8],
 [2, -4, 7, -15]]

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


[User]
Calculate the rank of matrix A where A =
[[2, 14, -6, 12],
 [-5, -15, 5, -16],
 [9, 13, -2, 19],
 [3, 11, -4, 11]]

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


[User]
Calculate the rank of matrix A where A =
[[15, -3, -3, 21],
 [5, -23, -5, 3],
 [-7, 8, 9, 9],
 [4, 8, -4, -6]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-16, 20, 6, 14],
 [-6, 7, 4, 1],
 [8, -8, 2, -2],
 [-11, 15, 11, 9]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[2, -2, 1, -11],
 [-10, -18, 14, -6],
 [-4, -3, 3, 5],
 [-18, -10, 20, -32]]

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


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

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-12, 8, -20, 20],
 [6, 11, -5, -13],
 [0, -10, 10, 2],
 [-8, -2, 6, -5]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-2, 0, 4, -3],
 [4, 0, 8, -2],
 [-4, 0, 16, -10],
 [-12, 0, 0, -6]]

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


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

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


[User]
What is the rank of the matrix:
[[10, 14, -16, -3],
 [-12, -12, 7, -10],
 [2, 22, -10, 1],
 [6, 0, -10, -7]]?

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


[User]
Calculate the rank of matrix A where A =
[[6, -2, 1, -1],
 [12, 0, 9, -9],
 [-11, -1, -10, 10],
 [-21, -3, -21, 21]]

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


[User]
What is the rank of the matrix:
[[-7, -7, 18, -2],
 [-10, -10, 22, -4],
 [13, 13, 0, 14],
 [-13, -13, 13, -10]]?

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


[User]
Calculate the rank of matrix A where A =
[[0, -1, -2, 0],
 [-7, 0, 10, -15],
 [-6, -8, -1, 9],
 [-18, -10, 10, -24]]

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


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

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


[User]
What is the rank of the matrix:
[[-6, -15, -6, 9],
 [-10, -18, -12, 10],
 [-1, 8, -4, -6],
 [15, 13, 22, -5]]?

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[0, 5, -5, 11],
 [0, 5, -5, 11],
 [6, 9, 3, 9],
 [1, -1, 3, -4]]

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


[User]
Find the rank of the matrix:
[[-6, -4, 6, 10],
 [-4, -2, -6, 4],
 [-9, -13, -5, 8],
 [-14, -20, 4, 16]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[6, -10, -11, 24],
 [-4, 4, -14, 12],
 [12, -18, 6, 14],
 [-10, 15, -13, -3]]

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


[User]
What is the rank of the matrix:
[[0, 2, -6, -6],
 [21, -10, 9, 16],
 [21, -11, 12, 19],
 [-12, 6, -6, -10]]?

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


[User]
What is the rank of the matrix:
[[-13, 1, -8, 20],
 [11, 4, 10, 8],
 [17, 7, 16, -4],
 [3, 12, 10, 12]]?

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


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

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


[User]
Find the rank of the matrix:
[[2, -1, 1, 1],
 [6, 6, 2, 10],
 [-1, -13, 1, -11],
 [1, -14, 2, -10]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[3, 5, 12, -4],
 [0, -8, -16, 0],
 [-3, 1, 0, 4],
 [3, -9, -16, -4]]

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


[User]
Find the rank of the matrix:
[[4, -6, -6, 6],
 [-11, 15, 12, -9],
 [16, -20, -12, 4],
 [3, -5, -6, 7]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[0, 2, -6, -3],
 [4, 4, -12, -4],
 [-7, -5, 21, 7],
 [1, 9, -13, -6]]

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


[User]
What is the rank of the matrix:
[[15, -6, 6, -27],
 [-2, -14, -8, 8],
 [-10, -1, 11, -2],
 [11, 7, -4, -6]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[11, 16, -18, 3],
 [31, -2, 16, -31],
 [-2, 16, -4, -2],
 [3, -5, 23, -20]]

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


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

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


[User]
Find the rank of the matrix:
[[-8, 7, -18, 16],
 [-17, -8, 17, -13],
 [-1, -7, -3, -1],
 [-24, 12, -6, 12]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-16, 13, -1, 8],
 [15, -12, -6, -3],
 [17, -13, -2, -10],
 [-6, 3, -3, 14]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-15, 20, 6, -11],
 [-13, 24, 2, -15],
 [1, 14, -3, -3],
 [-16, 18, 8, -9]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-14, -9, -18, 7],
 [-2, 4, 9, -14],
 [-4, -2, 8, 22],
 [2, 6, 12, -16]]

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


[User]
Calculate the rank of matrix A where A =
[[-1, -20, -8, 15],
 [-15, 5, 16, -3],
 [-14, 0, 14, 12],
 [-1, -10, -4, 3]]

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


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

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


[User]
Find the rank of the matrix:
[[4, -17, 7, -8],
 [-22, 6, 24, 19],
 [0, 14, -10, 4],
 [-14, 14, 8, 15]]

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


[User]
Calculate the rank of matrix A where A =
[[-7, -15, 14, -2],
 [-1, 3, -2, 0],
 [5, -12, 8, -2],
 [7, 15, -14, 2]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-5, 0, -2, 11],
 [-2, 1, -5, 14],
 [29, 2, -11, -11],
 [-5, 22, 5, -13]]

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


[User]
Find the rank of the matrix:
[[15, 6, 0, 8],
 [11, 25, 6, 29],
 [14, 4, 4, 5],
 [-19, 1, 6, -1]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[14, -6, 0, 8],
 [-8, 2, -5, -1],
 [-12, 2, -11, 1],
 [0, 0, 0, 0]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[2, 5, 0, 2],
 [-4, -17, -17, -5],
 [-2, 20, 11, -7],
 [1, -9, -1, 4]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-24, 5, -25, -7],
 [4, -16, -4, 0],
 [-5, -6, -9, -2],
 [10, -1, 11, 3]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-6, 8, 6, 4],
 [-13, 0, 1, -10],
 [-4, 14, 10, 12],
 [15, -7, -6, 4]]

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


[User]
What is the rank of the matrix:
[[-18, 10, -10, 6],
 [-3, -3, -18, 15],
 [-3, 3, 3, -3],
 [9, -5, 5, -3]]?

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


[User]
Calculate the rank of matrix A where A =
[[-18, 3, 3, 0],
 [-20, 3, 5, 0],
 [-2, 2, -8, 0],
 [18, -4, 2, 0]]

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


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

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-7, 14, -7, -7],
 [-2, 8, -3, -9],
 [5, -10, 5, -4],
 [-11, 18, -10, 4]]?

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


[User]
Find the rank of the matrix:
[[4, 8, -3, 17],
 [5, -5, 1, 6],
 [-7, 4, 0, -10],
 [-14, 11, 4, -1]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-1, -7, 4, -5],
 [-7, 5, -5, -2],
 [9, -9, 8, 1],
 [-2, -14, 8, -10]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[1, 4, -1, -1],
 [-24, -12, 16, -16],
 [23, 1, -7, 8],
 [-9, 7, 7, -15]]

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


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

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


[User]
Find the rank of the matrix:
[[22, -4, 20, 8],
 [-25, 0, -22, -4],
 [12, -9, 12, 12],
 [-20, -10, -16, 8]]

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


[User]
Find the rank of the matrix:
[[-5, -12, -20, -15],
 [19, -13, 3, -2],
 [23, -5, 1, 6],
 [0, 0, 0, 0]]

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


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

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


[User]
Find the rank of the matrix:
[[4, 8, 4, -16],
 [-3, 0, 12, -6],
 [-7, -8, 8, 10],
 [3, 6, 3, -12]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[10, -4, 6, 4],
 [3, -14, 13, 10],
 [6, -4, -8, 7],
 [-11, -12, 11, 6]]

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


[User]
Determine the rank of the following matrix:
[[-2, 0, -2, 8],
 [-19, 20, -19, 11],
 [-3, 0, -3, 12],
 [6, -8, 6, 2]]

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


[User]
What is the rank of the matrix:
[[0, -2, -2, 4],
 [8, 3, -13, 2],
 [8, 24, -22, 20],
 [0, 4, 4, -8]]?

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-2, -4, 6, 4],
 [4, 1, 16, 20],
 [4, 1, 16, 20],
 [0, -3, 12, 12]]

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


[User]
What is the rank of the matrix:
[[12, -3, -21, -15],
 [-16, 4, 16, 16],
 [8, -2, -11, -9],
 [12, -3, -15, -13]]?

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


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

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


[User]
What is the rank of the matrix:
[[-11, 4, 7, 10],
 [15, -7, -10, -13],
 [11, -4, -7, -10],
 [7, -18, -9, 0]]?

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


[User]
Calculate the rank of matrix A where A =
[[12, 21, -10, 5],
 [6, 15, 2, -13],
 [-2, -5, 2, -5],
 [1, 4, -2, 9]]

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


[User]
Determine the rank of the following matrix:
[[6, -22, 2, -8],
 [8, 12, 0, 22],
 [-11, 3, -1, -15],
 [-11, 23, -1, 0]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[4, 8, -4, -6],
 [-4, -8, -14, -3],
 [-2, -4, -10, -3],
 [-10, -20, 4, 12]]

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


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

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


[User]
Determine the rank of the following matrix:
[[8, 8, 6, -7],
 [12, 24, 18, -3],
 [-10, -16, -12, 5],
 [-13, -20, -15, 7]]

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


[User]
Find the rank of the matrix:
[[14, -14, 8, 2],
 [-7, 0, -2, -4],
 [-6, -16, 6, -4],
 [0, -22, 11, 0]]

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


[User]
Determine the rank of the following matrix:
[[0, 12, 6, -9],
 [-6, 18, 10, -16],
 [-1, -17, -9, 18],
 [14, 14, 6, -16]]

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


[User]
Determine the rank of the following matrix:
[[14, 13, -12, -11],
 [-9, -9, 7, 7],
 [11, 15, -13, -9],
 [-19, -1, 17, 15]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-36, -4, -5, -1],
 [-12, 12, 1, 5],
 [-8, 5, 1, 11],
 [8, 16, 4, 5]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-6, -14, -5, -2],
 [8, 17, 0, 1],
 [-2, -1, 13, 3],
 [2, 0, -17, -4]]

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


[User]
Calculate the rank of matrix A where A =
[[-2, 6, 16, 1],
 [10, 2, 16, -5],
 [-8, -8, -32, 4],
 [-12, 0, -12, 6]]

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


[User]
Find the rank of the matrix:
[[-2, -3, -14, -17],
 [3, 11, -29, -18],
 [3, 0, 3, 3],
 [-7, -6, -13, -19]]

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


[User]
What is the rank of the matrix:
[[0, 5, -3, -1],
 [0, 6, -4, -4],
 [0, -8, 2, -18],
 [0, -6, 3, -3]]?

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-3, -4, -3, 3],
 [6, 25, 9, -18],
 [-6, -8, -6, 6],
 [10, 19, 11, -14]]?

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


[User]
Calculate the rank of matrix A where A =
[[-15, 4, 9, -9],
 [6, -10, -12, -2],
 [-3, -1, 0, -3],
 [-12, -1, 3, -10]]

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


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

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


[User]
Find the rank of the matrix:
[[-2, 10, 2, 8],
 [2, 17, -8, 7],
 [2, 8, -6, 2],
 [9, 9, -21, -6]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-11, -4, -6, 2],
 [-18, -16, -20, 4],
 [-12, -1, -6, 5],
 [1, -4, 2, -6]]

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


[User]
What is the rank of the matrix:
[[24, 6, -4, -2],
 [-12, 0, 3, 3],
 [-4, -9, -2, -5],
 [16, 6, -2, 0]]?

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


[User]
What is the rank of the matrix:
[[5, -15, -3, -16],
 [18, 2, 20, 12],
 [26, -6, 8, 20],
 [13, 2, 7, 16]]?

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


[User]
Find the rank of the matrix:
[[1, -5, 9, 4],
 [-3, 7, -3, -4],
 [-31, 26, 10, -2],
 [17, -3, -23, -9]]

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


[User]
Calculate the rank of matrix A where A =
[[-6, -8, 10, 8],
 [4, 16, -14, -14],
 [-16, 16, 1, -9],
 [-20, 16, 4, -8]]

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


[User]
Calculate the rank of matrix A where A =
[[2, -17, -23, -2],
 [-16, 5, 0, 5],
 [12, 15, 30, 1],
 [-8, 17, 23, 6]]

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


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

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


[User]
Find the rank of the matrix:
[[2, -9, -5, 1],
 [4, -18, 0, -4],
 [-20, -10, 10, 6],
 [-16, -3, -5, 13]]

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


[User]
Calculate the rank of matrix A where A =
[[-1, -20, -3, -13],
 [-16, 0, 12, -28],
 [-14, 8, 12, -20],
 [-10, -8, 6, -22]]

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-15, 13, 6, -3],
 [3, -3, 4, -5],
 [-6, -16, -22, 2],
 [-3, 19, 23, -6]]?

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


[User]
What is the rank of the matrix:
[[-8, -6, 12, 5],
 [6, 3, -11, -16],
 [24, 20, -20, -2],
 [20, 16, -38, -2]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[0, -3, 1, 3],
 [0, -4, 4, 13],
 [8, -1, -5, -1],
 [-2, 10, 2, 4]]

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


[User]
Calculate the rank of matrix A where A =
[[-18, 16, 9, -9],
 [21, -18, -12, 9],
 [18, -16, -9, 9],
 [-1, -2, 7, 6]]

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


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

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-4, 8, 6, 6],
 [-2, 2, 5, 1],
 [10, -19, -16, -14],
 [0, 0, 0, 0]]

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[3, -1, -1, -1],
 [6, -10, 14, -6],
 [3, 3, -9, 1],
 [6, -10, 14, -6]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[6, 11, -2, -7],
 [-15, -21, -3, 9],
 [-2, 5, -10, -9],
 [-2, -8, 6, 8]]?

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


[User]
Calculate the rank of matrix A where A =
[[-1, 4, -12, -6],
 [7, 1, 9, -1],
 [-2, 2, 3, 0],
 [-4, 19, -6, -15]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[25, 14, 15, 28],
 [7, 6, 30, 19],
 [6, 0, -9, 7],
 [-12, -1, 3, -21]]

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


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

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


[User]
What is the rank of the matrix:
[[3, 12, 12, -12],
 [20, 8, -4, 18],
 [-4, -12, -10, 15],
 [-2, -16, -23, 0]]?

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[7, 5, -14, 4],
 [-19, -9, 6, 12],
 [5, 1, 8, -10],
 [-25, -11, 2, 20]]

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


[User]
Calculate the rank of matrix A where A =
[[-2, 12, -18, 3],
 [22, 20, -16, 26],
 [26, 20, -14, 29],
 [0, -12, 16, -6]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-13, -4, 6, 13],
 [0, 10, 11, 0],
 [-3, -14, -13, 3],
 [11, 18, 11, -11]]

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


[User]
Find the rank of the matrix:
[[0, -2, 3, 3],
 [-2, 14, -4, -20],
 [2, -10, -2, 14],
 [0, 8, -12, -12]]

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-11, -20, 1, 10],
 [-5, -19, 8, 4],
 [8, 9, -1, 0],
 [16, 15, -1, 2]]?

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


[User]
Find the rank of the matrix:
[[-20, -1, -12, -15],
 [12, 12, 22, 10],
 [8, -16, -17, 1],
 [-24, 14, 6, -12]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-9, -12, 0, -3],
 [-5, 10, -4, 9],
 [0, -11, 18, 24],
 [8, 2, 4, 1]]

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


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

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


[User]
Determine the rank of the following matrix:
[[12, 1, -4, 26],
 [0, -13, -8, 10],
 [-2, 1, 3, -8],
 [-4, -1, 2, -10]]

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


[User]
Find the rank of the matrix:
[[20, -16, 2, 2],
 [-5, -1, 20, 15],
 [5, -7, -16, -11],
 [15, -15, 3, 3]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-1, -10, 15, -2],
 [-2, 20, 0, 1],
 [-4, -12, 24, -6],
 [-2, -5, 0, -4]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[2, -11, 4, 2],
 [-2, 4, -2, 1],
 [-14, 7, -8, 16],
 [-2, -3, 0, 4]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[14, 2, -1, 6],
 [-16, 28, 2, 15],
 [-1, 15, -7, 18],
 [23, -5, -4, 6]]

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


[User]
Determine the rank of the following matrix:
[[-21, 9, 8, -18],
 [-12, 4, 4, -10],
 [15, -7, -6, 13],
 [-6, 10, 6, -7]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-12, 14, 8, -20],
 [9, -7, -7, 13],
 [-7, 7, 3, -15],
 [-6, 7, 7, -4]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-1, 13, -6, -5],
 [-11, -7, -21, 5],
 [10, 10, 18, -6],
 [-8, -6, -15, 4]]

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


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

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


[User]
Find the rank of the matrix:
[[-10, -6, 5, 4],
 [24, 8, -12, -16],
 [-6, -9, 0, 18],
 [-16, 5, 11, 0]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-3, -8, -6, 7],
 [6, -14, -24, 1],
 [-11, -1, 8, 7],
 [1, -14, -18, 6]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[7, 13, 9, 5],
 [3, 9, 4, 3],
 [12, 0, 16, -6],
 [6, 6, 5, 18]]

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


[User]
What is the rank of the matrix:
[[4, -16, -12, -8],
 [0, 15, 0, 3],
 [-2, -7, 6, 1],
 [-5, -25, -37, 1]]?

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


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

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


[User]
What is the rank of the matrix:
[[13, 6, 8, -13],
 [12, 17, 0, 3],
 [-18, -29, 1, -6],
 [-4, -2, 0, -2]]?

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


[User]
Find the rank of the matrix:
[[-3, -8, 4, 1],
 [8, 4, 0, -28],
 [0, -9, 9, -12],
 [1, 8, -6, 7]]

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


[User]
Find the rank of the matrix:
[[-9, -6, 18, -9],
 [-4, -6, 3, 6],
 [12, 8, -24, 12],
 [-3, -6, 0, 9]]

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


[User]
Calculate the rank of matrix A where A =
[[-6, 2, 14, -9],
 [11, 5, -4, -3],
 [-6, 2, 14, -9],
 [10, 6, 0, -6]]

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


[User]
What is the rank of the matrix:
[[0, 4, -3, 3],
 [2, 24, -12, 20],
 [-8, 0, 9, 1],
 [16, -4, 7, 1]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[1, -4, -5, -4],
 [-1, 4, 8, 5],
 [8, -32, -4, -20],
 [-6, 24, 6, 16]]

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


[User]
Calculate the rank of matrix A where A =
[[-3, 12, 0, 3],
 [2, -8, -4, 10],
 [1, -4, -1, 2],
 [-3, 12, -3, 12]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-17, -2, 0, 16],
 [-5, -2, 12, 0],
 [-7, 20, 12, 4],
 [11, 2, -6, -8]]

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


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

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


[User]
Determine the rank of the following matrix:
[[5, -2, 5, 2],
 [12, 14, -24, -6],
 [-11, 12, -5, 10],
 [3, -12, 9, -6]]

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[1, -17, -23, -3],
 [14, -2, -8, -10],
 [-6, 1, 13, 5],
 [-24, -10, 5, 16]]

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


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

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


[User]
Find the rank of the matrix:
[[5, -5, 2, -14],
 [-2, -4, 4, 8],
 [3, -4, 2, -8],
 [-1, -2, 2, 4]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-14, 6, 20, 12],
 [-2, 1, 17, 14],
 [9, -4, -14, -10],
 [-5, 1, -2, -14]]

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


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

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


[User]
What is the rank of the matrix:
[[-11, 15, -14, -5],
 [2, -18, 26, 2],
 [7, -33, 31, 7],
 [-5, 9, -6, -3]]?

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


[User]
Determine the rank of the following matrix:
[[-7, -4, 15, 4],
 [-6, -5, 5, -1],
 [-6, -4, 2, -4],
 [3, -25, -8, 19]]

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


[User]
Find the rank of the matrix:
[[2, 1, -11, 0],
 [15, -11, -10, -15],
 [7, -6, -1, -8],
 [-6, 8, 18, -22]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-14, 6, -15, 0],
 [-1, 4, -5, -5],
 [-8, -8, 4, 16],
 [-6, 4, -8, -2]]

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


[User]
Determine the rank of the following matrix:
[[5, -5, 0, 1],
 [-18, 18, -1, -2],
 [-4, 4, 2, -4],
 [4, -4, -2, 4]]

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


[User]
What is the rank of the matrix:
[[-15, 3, 4, -3],
 [-6, 18, 24, 10],
 [0, 24, 32, 16],
 [0, -12, -16, -8]]?

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[2, 16, 14, 0],
 [-9, -4, 27, -34],
 [5, 16, 4, 12],
 [-1, 16, 23, -12]]

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


[User]
Find the rank of the matrix:
[[0, 2, 2, -4],
 [3, -8, -3, 6],
 [-12, 16, -4, 8],
 [-9, 15, 0, 0]]

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


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

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


[User]
What is the rank of the matrix:
[[6, -2, -5, 7],
 [-8, 4, 12, -11],
 [12, 0, -10, 9],
 [-6, -10, -1, 8]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[0, 3, 4, 11],
 [-12, 15, 12, 3],
 [10, -11, -8, 3],
 [-3, 0, -2, -13]]

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


[User]
What is the rank of the matrix:
[[0, 10, 5, 6],
 [9, -4, -11, 3],
 [2, -2, -3, 0],
 [1, 4, 1, 3]]?

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[14, -20, -10, -12],
 [1, -6, -11, -2],
 [-6, 12, 12, 6],
 [0, -8, -18, -2]]

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


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

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


[User]
What is the rank of the matrix:
[[4, 4, -8, 2],
 [0, 10, -22, 2],
 [-4, 6, -14, 0],
 [16, 1, 1, 5]]?

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


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

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


[User]
What is the rank of the matrix:
[[-2, -4, 5, -21],
 [-28, 28, -14, -6],
 [-12, -1, -23, -10],
 [16, -12, -8, 32]]?

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[3, 1, -11, -15],
 [5, -18, -26, -13],
 [-2, 21, 9, -10],
 [1, 17, 13, -5]]

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


[User]
Determine the rank of the following matrix:
[[1, 5, 3, 0],
 [8, 4, 24, 24],
 [-4, -2, -12, -12],
 [0, 3, 0, -2]]

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


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

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


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

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[0, -4, 6, -2],
 [0, -4, 6, -2],
 [0, 8, -12, 4],
 [0, 2, -3, 1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[4, -8, -14, 6],
 [4, -12, -24, 11],
 [-10, 12, 15, -5],
 [12, -8, -2, -2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-18, 8, 12, 7],
 [1, 14, 11, 6],
 [-4, 18, 4, -2],
 [7, -16, -19, -12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-1, -5, 7, -4],
 [-7, -8, 4, 21],
 [1, -4, -7, -9],
 [-1, -9, -1, -8]]

Present the answer in LaTex format: \boxed{Your answer}