[User]
Calculate the rank of matrix A where A =
[[3, -8, 5, 20],
 [-15, -1, 4, 4],
 [12, 3, -11, -40],
 [-3, 15, 0, 12]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[24, -2, 14, 16],
 [9, -12, -12, 6],
 [0, 0, 0, 0],
 [10, 6, -3, 3]]

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


[User]
Find the rank of the matrix:
[[-9, 17, -7, 5],
 [6, -8, 4, -8],
 [8, -10, -5, 4],
 [18, -22, -2, -6]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-25, -4, 4, -7],
 [31, 1, -4, 6],
 [-22, -10, 5, -11],
 [-1, -7, 4, 6]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[4, -4, 0, 0],
 [4, -5, 2, 2],
 [4, -4, 0, 0],
 [7, -9, 4, 4]]

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


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

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


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

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[6, 14, -2, -12],
 [-3, 17, 3, -8],
 [-9, -11, 3, 8],
 [3, 15, 1, -4]]

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-7, 4, -1, -12],
 [-6, -8, 7, 4],
 [1, 4, -3, -4],
 [-9, -4, 5, -4]]

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


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

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


[User]
What is the rank of the matrix:
[[-18, 4, 2, 18],
 [9, 12, -3, -3],
 [9, 12, -3, -3],
 [6, 1, -1, -5]]?

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


[User]
What is the rank of the matrix:
[[28, 4, 14, -18],
 [-12, -12, -6, 6],
 [20, 14, 10, -11],
 [8, -16, 4, -8]]?

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


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

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


[User]
Find the rank of the matrix:
[[-7, -7, 28, -28],
 [-4, -4, 4, -4],
 [-5, -5, -16, 16],
 [-10, -10, 24, -24]]

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


[User]
Find the rank of the matrix:
[[-4, 5, -13, 12],
 [-1, -8, 0, 6],
 [-22, -18, 1, 27],
 [-23, -14, -1, 27]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[6, -10, 8, 8],
 [-1, -5, -3, 2],
 [6, -6, 9, 6],
 [-11, 17, -15, -14]]

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


[User]
What is the rank of the matrix:
[[21, -20, -2, 14],
 [11, -11, -2, 9],
 [-29, 22, -2, -16],
 [-2, 2, -1, 2]]?

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


[User]
What is the rank of the matrix:
[[0, 13, 24, -2],
 [0, 1, -4, 2],
 [0, -5, 1, -3],
 [0, 3, 7, -1]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[4, 1, -5, -7],
 [-23, 9, 1, 29],
 [-20, 18, -5, 17],
 [-7, -6, 2, 16]]

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


[User]
Determine the rank of the following matrix:
[[10, -13, 0, 4],
 [12, -15, 3, 6],
 [-6, 5, -14, -8],
 [0, 0, 0, 0]]

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


[User]
What is the rank of the matrix:
[[3, -21, 6, -15],
 [-10, 20, -10, 18],
 [-16, 12, -12, 16],
 [24, 7, 13, -8]]?

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-4, -3, 11, -7],
 [5, 2, 16, -14],
 [-12, -8, 16, -8],
 [-1, -1, 7, -5]]

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


[User]
Find the rank of the matrix:
[[-3, 9, -8, -10],
 [-14, -6, 0, -4],
 [4, -6, 6, 8],
 [1, 3, -2, -2]]

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


[User]
Calculate the rank of matrix A where A =
[[-7, 18, -11, 20],
 [-5, 10, -7, 12],
 [-10, 0, -8, 8],
 [13, -22, 17, -28]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[7, 4, 30, -3],
 [13, -5, 11, -19],
 [2, -4, -6, -6],
 [11, 14, 12, -3]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[11, -3, -5, -10],
 [6, 0, -6, -6],
 [5, 6, -17, -7],
 [7, -6, 5, -5]]

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


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

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],
 [-16, -16, -8, -12]]

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


[User]
Determine the rank of the following matrix:
[[-1, 9, 13, -8],
 [15, 29, 1, 0],
 [8, 17, -3, -6],
 [-5, 0, 8, -10]]

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


[User]
What is the rank of the matrix:
[[6, -6, -4, 4],
 [-14, 14, -2, -4],
 [-7, 7, -1, -2],
 [22, -22, 8, 4]]?

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


[User]
Find the rank of the matrix:
[[-26, -17, 11, -24],
 [-6, 3, 15, 0],
 [-16, 5, 19, 0],
 [13, 9, -2, 12]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[4, -1, -28, 7],
 [-32, -4, 0, 12],
 [8, -7, -16, -1],
 [24, 7, 8, -10]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[2, -10, 9, -9],
 [-12, 4, 2, 14],
 [-8, -16, 20, -4],
 [20, -9, -1, -25]]

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


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

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


[User]
Find the rank of the matrix:
[[0, 2, 12, -6],
 [3, 0, 2, -9],
 [-1, -9, -26, 30],
 [-2, -1, 0, 9]]

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


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

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


[User]
Determine the rank of the following matrix:
[[35, -16, -6, -16],
 [4, -4, -12, 20],
 [-36, 14, -2, 30],
 [5, -4, -4, 1]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-10, -8, 11, -11],
 [2, -4, -8, 9],
 [8, -12, -3, -2],
 [0, 8, -14, 20]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[3, -16, -11, -14],
 [-6, 8, 6, 4],
 [0, 3, 2, 3],
 [-3, -2, -1, -4]]

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


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

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


[User]
Determine the rank of the following matrix:
[[4, 8, 0, 8],
 [15, 3, 6, -6],
 [0, -9, 2, -12],
 [16, -4, 8, -16]]

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-4, 0, 20, -8],
 [2, -2, 13, -18],
 [5, -4, -9, 6],
 [-12, 10, 2, 10]]

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


[User]
Determine the rank of the following matrix:
[[7, 2, 6, 5],
 [-13, -2, -18, 10],
 [-10, -12, -16, 11],
 [8, 12, 8, 5]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[3, 4, -6, 8],
 [11, 4, 2, -14],
 [3, 4, -6, 8],
 [7, 16, -22, 16]]

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


[User]
Find the rank of the matrix:
[[-6, -3, 5, 8],
 [8, -13, -1, -22],
 [0, -3, 1, -2],
 [-6, 6, 2, 14]]

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


[User]
Calculate the rank of matrix A where A =
[[-13, 3, -10, -5],
 [-4, 14, -10, -20],
 [-2, -10, 4, 14],
 [0, -17, 9, 24]]

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


[User]
Determine the rank of the following matrix:
[[4, 19, -8, 6],
 [-2, -4, 4, -14],
 [1, 0, -2, 11],
 [4, 12, -8, 20]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[20, -2, -2, -16],
 [-5, 5, 8, 19],
 [9, -2, 1, -1],
 [-9, 29, 16, 17]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-1, 4, 15, -18],
 [-10, 2, -14, -2],
 [0, -16, 12, -12],
 [-4, 4, 14, -22]]

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


[User]
What is the rank of the matrix:
[[-2, 7, 9, -8],
 [-4, -6, -2, 4],
 [8, 0, -8, 4],
 [-8, 8, 16, -12]]?

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


[User]
Calculate the rank of matrix A where A =
[[-15, 8, 2, 7],
 [-9, 15, 8, 11],
 [-3, -8, -6, -5],
 [3, -10, -6, -7]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[0, -6, -16, 0],
 [6, -3, -20, -6],
 [6, 11, 12, -6],
 [0, -5, 24, 0]]

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


[User]
What is the rank of the matrix:
[[-19, -8, -5, 24],
 [2, 4, 7, -9],
 [18, 10, -2, -16],
 [-16, -8, -5, 21]]?

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


[User]
What is the rank of the matrix:
[[9, 19, 4, -1],
 [-3, -1, -4, -1],
 [6, -14, 16, 6],
 [-12, -12, -12, -2]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[-1, -7, -7, 8],
 [-22, -12, -18, -15],
 [10, 16, 18, -8],
 [-5, -11, -11, 10]]

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


[User]
Calculate the rank of matrix A where A =
[[4, -6, 29, -4],
 [-9, 3, -25, 4],
 [16, 5, -12, -7],
 [15, 1, 11, -6]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-10, -10, 2, -14],
 [-3, -4, 0, -5],
 [-10, 0, 8, -6],
 [9, 2, -6, 7]]

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


[User]
What is the rank of the matrix:
[[12, 0, -4, 16],
 [6, 3, 0, 12],
 [-5, -1, 1, -8],
 [3, -3, -3, 0]]?

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


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

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


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

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-17, 18, -3, 14],
 [-8, 4, 12, 1],
 [-17, 18, -3, 14],
 [-18, 20, -6, 16]]

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


[User]
Determine the rank of the following matrix:
[[21, -4, 1, -17],
 [8, 14, -1, -16],
 [-8, -20, 0, 16],
 [4, -4, 6, 12]]

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


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

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


[User]
What is the rank of the matrix:
[[9, 13, 7, 12],
 [3, 5, 3, 8],
 [-3, -5, -3, -8],
 [0, 0, 0, 0]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[4, 12, 8, 8],
 [-8, 24, -9, -1],
 [11, -15, 11, 7],
 [12, -12, 10, 9]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[4, -8, -16, 12],
 [0, -16, 0, 16],
 [3, -10, -12, 13],
 [-2, -8, 8, 6]]

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


[User]
Find the rank of the matrix:
[[1, -10, -2, -5],
 [2, 8, 2, 2],
 [2, -7, 0, -4],
 [0, 0, 0, 0]]

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


[User]
Find the rank of the matrix:
[[-8, 15, 6, -3],
 [-3, 22, 11, -9],
 [-7, 12, 3, -3],
 [11, -15, 3, 6]]

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


[User]
Determine the rank of the following matrix:
[[-14, -5, 7, -6],
 [-14, -8, -10, -24],
 [-1, 21, -6, 10],
 [9, -21, 18, 6]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-4, 0, 12, 12],
 [-3, 0, 9, 9],
 [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:
[[-17, 9, 4, -9],
 [-17, 5, -13, -9],
 [-7, 7, -2, 1],
 [12, 0, 18, 8]]?

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


[User]
Determine the rank of the following matrix:
[[-5, 0, 6, 5],
 [0, 10, 14, 0],
 [-8, -4, 4, 8],
 [28, 24, 0, -28]]

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-9, 3, -8, 8],
 [8, -6, 14, -4],
 [3, 14, 1, -26],
 [5, -6, 9, 1]]

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


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

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


[User]
Determine the rank of the following matrix:
[[9, 7, 15, 11],
 [-2, 11, 15, 8],
 [-7, 10, -6, -14],
 [6, -7, -15, -11]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[20, 4, 32, 4],
 [-6, -2, -8, -8],
 [12, 4, 16, 16],
 [4, 2, 4, 11]]

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


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

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


[User]
Find the rank of the matrix:
[[-5, 18, 22, -10],
 [3, -15, -21, 6],
 [6, 3, 3, 4],
 [-2, -11, -25, -4]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-14, -24, -5, 10],
 [-7, -18, -4, -10],
 [2, 2, -20, -24],
 [-1, 0, -1, 4]]

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


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

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


[User]
Find the rank of the matrix:
[[0, 15, 18, -12],
 [6, -18, -16, 14],
 [2, -7, -8, -7],
 [-1, -19, -24, 13]]

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


[User]
Determine the rank of the following matrix:
[[-4, -14, 10, -6],
 [0, -16, 4, -12],
 [2, 7, -5, 3],
 [-8, 0, 13, 9]]

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


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

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


[User]
Find the rank of the matrix:
[[8, 0, -2, 4],
 [-27, 9, 21, -6],
 [5, 14, 13, 11],
 [-4, 1, 3, -1]]

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


[User]
What is the rank of the matrix:
[[-7, 8, -14, -15],
 [-2, 3, 1, 5],
 [-11, 14, -12, -5],
 [-14, 18, -14, -4]]?

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


[User]
Find the rank of the matrix:
[[-10, -8, -1, 5],
 [4, 19, 12, -23],
 [18, 12, 7, -15],
 [12, 20, 12, -24]]

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-20, -10, 4, -4],
 [-4, -11, 17, 10],
 [8, 2, 2, 4],
 [4, 1, 1, 2]]

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


[User]
Determine the rank of the following matrix:
[[28, 24, 16, -8],
 [0, -20, -24, 7],
 [-17, -6, 4, 23],
 [-16, -10, -1, 26]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-19, -16, 5, -4],
 [25, 24, -7, 4],
 [5, 9, -2, -1],
 [-21, -21, 6, -3]]

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


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

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


[User]
Find the rank of the matrix:
[[-10, -2, -2, -4],
 [-29, -5, -28, -11],
 [-1, -9, 13, 0],
 [8, 2, 7, 3]]

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


[User]
Find the rank of the matrix:
[[5, 9, 2, -14],
 [-5, -9, -2, 14],
 [8, 10, -10, 4],
 [-6, -9, 3, 6]]

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


[User]
Find the rank of the matrix:
[[11, -4, -12, 5],
 [0, 2, 6, -8],
 [1, 1, 3, -5],
 [-3, 1, 3, -1]]

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[6, -6, -8, -16],
 [0, -12, -4, -20],
 [1, 3, 0, 4],
 [-10, -6, 8, 0]]?

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


[User]
Find the rank of the matrix:
[[17, 17, 19, 9],
 [4, 4, 12, 4],
 [10, 10, 6, 4],
 [-5, -5, 1, -1]]

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


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

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


[User]
Find the rank of the matrix:
[[9, 11, -10, -4],
 [13, 2, 12, -12],
 [-19, -11, 10, 20],
 [11, 9, 2, -4]]

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


[User]
Calculate the rank of matrix A where A =
[[11, -6, 13, 1],
 [12, 9, -6, 10],
 [19, 15, -13, 13],
 [14, 3, 4, 9]]

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


[User]
Calculate the rank of matrix A where A =
[[-3, 12, -6, -6],
 [-9, 11, -18, 2],
 [-27, 1, 2, -2],
 [0, 0, 0, 0]]

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


[User]
Determine the rank of the following matrix:
[[19, -10, -3, -6],
 [6, 0, -2, 1],
 [-23, 16, 7, 5],
 [21, -12, -5, -5]]

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[5, -9, -1, 8],
 [0, 2, -2, 1],
 [10, -18, -2, 16],
 [-8, 14, 2, -13]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[10, 9, 15, -18],
 [0, -8, -5, -9],
 [-4, -3, -10, 1],
 [-14, 6, -26, 20]]

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


[User]
What is the rank of the matrix:
[[-11, -12, 4, 5],
 [4, 8, 4, 0],
 [-4, -8, -4, 0],
 [0, 0, 0, 0]]?

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


[User]
What is the rank of the matrix:
[[-8, 14, -2, 4],
 [7, -10, -4, -3],
 [-2, 12, 0, 9],
 [2, -12, 0, -9]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[-18, 2, -6, 6],
 [-4, -12, -12, -12],
 [4, -16, -12, -18],
 [-10, 12, 6, 15]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[6, -12, 2, 3],
 [1, 5, -7, 4],
 [1, -16, 7, 4],
 [3, -18, 1, 12]]

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[16, 0, -32, -24],
 [-12, 14, 0, 22],
 [1, -2, 4, -4],
 [-16, 6, 24, 24]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-8, 7, 11, -9],
 [8, -4, 4, 12],
 [-6, 7, 17, -5],
 [-6, 6, 12, -6]]

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


[User]
What is the rank of the matrix:
[[13, -14, -20, 1],
 [-12, 3, -6, 6],
 [11, -17, -24, -4],
 [4, 0, 6, -5]]?

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


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

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


[User]
What is the rank of the matrix:
[[5, 3, -8, 19],
 [-9, -13, 8, -15],
 [-6, -7, 6, -12],
 [-12, -21, 6, -6]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[-20, -8, -6, 14],
 [2, 0, 1, 1],
 [-4, -4, 0, 10],
 [8, 0, 4, 4]]

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


[User]
Find the rank of the matrix:
[[4, 2, 2, 6],
 [-5, -4, 14, 12],
 [-28, -10, 16, -2],
 [2, 4, 5, 10]]

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


[User]
Determine the rank of the following matrix:
[[9, -3, 13, 11],
 [-3, -9, 9, 3],
 [3, -3, 7, 5],
 [18, 6, 10, 14]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-15, 9, 0, 30],
 [3, -5, 8, 2],
 [3, 3, -4, 0],
 [16, -6, -5, -32]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-4, 15, 5, 6],
 [-4, -3, -9, 4],
 [0, -5, 9, 22],
 [-2, 1, -1, 5]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[13, -16, 28, 14],
 [19, -8, 26, 2],
 [12, -9, 3, -4],
 [9, 13, 5, -14]]

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


[User]
Calculate the rank of matrix A where A =
[[-12, -7, -2, -4],
 [-32, -12, -12, -4],
 [16, 1, 11, -3],
 [20, 10, 5, 5]]

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


[User]
What is the rank of the matrix:
[[0, 3, -3, -12],
 [0, 3, -3, -12],
 [24, -4, -10, -1],
 [-2, 8, 6, 12]]?

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-16, -14, 22, 8],
 [16, 11, -13, 4],
 [-6, -4, 16, 15],
 [-6, -11, -9, -25]]

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


[User]
Determine the rank of the following matrix:
[[-5, 9, -20, 16],
 [-7, -5, 8, -2],
 [5, 11, -28, 20],
 [2, -10, 20, -14]]

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


[User]
Determine the rank of the following matrix:
[[13, -24, -5, 13],
 [2, 0, -4, -9],
 [-4, 0, 2, 1],
 [19, 4, 1, 23]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-16, 8, -8, 12],
 [3, -18, 18, 0],
 [10, 6, -6, -9],
 [0, 22, -22, -3]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[4, -3, 4, 1],
 [6, -6, 7, 4],
 [-6, 6, -7, -4],
 [-8, 12, -12, -12]]

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


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

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[0, 0, 0, 0],
 [6, -6, 8, 2],
 [-6, 0, 11, -10],
 [-20, 16, -14, -12]]

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


[User]
What is the rank of the matrix:
[[4, -4, 3, -10],
 [-1, -6, 4, -1],
 [14, -14, 12, -14],
 [-6, -2, 0, -2]]?

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


[User]
Find the rank of the matrix:
[[-36, 8, 8, -16],
 [15, 10, -2, 22],
 [-32, 11, 9, -13],
 [12, -26, -14, -2]]

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


[User]
Calculate the rank of matrix A where A =
[[2, -7, 13, 1],
 [-10, 10, -26, 4],
 [2, -4, -16, 14],
 [13, -6, 13, -2]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[2, -12, -14, 2],
 [5, -13, 6, 4],
 [-2, 9, -7, -11],
 [-2, -3, -1, 13]]

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


[User]
What is the rank of the matrix:
[[-4, -8, -8, -8],
 [1, 6, 14, 14],
 [4, 2, -10, -10],
 [2, 0, -8, -8]]?

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


[User]
Find the rank of the matrix:
[[12, -4, -2, 4],
 [-9, 28, 0, -26],
 [-18, -2, -14, -6],
 [3, -9, -8, 5]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-8, 0, 6, -6],
 [4, -24, -12, 12],
 [-7, 10, 9, -9],
 [10, -12, -12, 12]]

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


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

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


[User]
Find the rank of the matrix:
[[0, 3, -22, 3],
 [22, -10, -20, 2],
 [9, -11, -12, -14],
 [17, -7, -2, 5]]

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


[User]
Determine the rank of the following matrix:
[[4, -21, -9, -3],
 [4, -11, -11, -1],
 [-14, -12, -15, 4],
 [4, -9, 3, -3]]

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


[User]
Calculate the rank of matrix A where A =
[[2, 4, -2, -3],
 [-24, -8, 8, 4],
 [-12, 6, 0, -6],
 [0, -20, 8, 16]]

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


[User]
Calculate the rank of matrix A where A =
[[1, 1, -1, 2],
 [-7, 13, -1, -22],
 [-7, 8, 1, -20],
 [3, 3, -3, 6]]

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


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

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


[User]
Find the rank of the matrix:
[[0, 3, -30, 11],
 [4, -10, -10, 12],
 [-8, 5, 16, -13],
 [12, -6, 10, 4]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-12, 10, -21, -8],
 [-10, 6, -17, -12],
 [12, 0, 22, 12],
 [0, -16, -3, 2]]?

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


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

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


[User]
What is the rank of the matrix:
[[5, 7, -8, -5],
 [3, 3, -5, -2],
 [17, 15, -34, -7],
 [-1, 1, 2, -1]]?

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


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

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


[User]
What is the rank of the matrix:
[[15, 15, -4, 18],
 [-6, -6, 7, -9],
 [3, 3, -11, 7],
 [15, 15, -1, 17]]?

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


[User]
Determine the rank of the following matrix:
[[16, 4, -14, 4],
 [-18, 13, 14, -8],
 [-14, 9, 11, -6],
 [-2, 17, 0, -4]]

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


[User]
Determine the rank of the following matrix:
[[14, -3, 2, -2],
 [-20, 4, -12, -12],
 [9, 3, -9, -13],
 [13, -16, -1, -19]]

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


[User]
What is the rank of the matrix:
[[1, 5, -6, 0],
 [-5, -11, 14, -6],
 [13, -6, -14, 3],
 [-7, -6, 11, -9]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-15, 3, -6, 0],
 [-7, 3, -4, -2],
 [13, 3, 1, -7],
 [-12, 0, -3, 3]]

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


[User]
What is the rank of the matrix:
[[0, -6, 0, 0],
 [-2, -2, 4, 1],
 [2, -4, -4, -1],
 [10, -14, -20, -5]]?

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


[User]
Find the rank of the matrix:
[[-3, -3, 3, -7],
 [1, 3, 1, 3],
 [-4, -12, -4, 20],
 [-12, -22, 2, -2]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[20, -4, 4, 16],
 [13, 15, -2, 24],
 [2, -8, 2, -4],
 [-12, 0, -1, -12]]?

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[2, 2, -2, 5],
 [10, -4, 4, 11],
 [-20, 8, -8, -22],
 [24, -8, 8, 28]]

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


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

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


[User]
Find the rank of the matrix:
[[-2, 9, 26, -4],
 [5, 18, 6, -17],
 [7, 1, 9, 6],
 [-13, -6, 15, 4]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-9, 20, 11, 12],
 [-8, 10, -12, 6],
 [-13, 23, 8, 14],
 [1, -15, 6, -8]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-5, 4, 18, 6],
 [-4, 20, 4, -8],
 [-13, 11, 7, 2],
 [9, -9, -9, -2]]

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


[User]
Find the rank of the matrix:
[[-12, 8, 15, -6],
 [8, -9, 1, 4],
 [-8, 4, 14, -4],
 [28, -24, -19, 14]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-28, -15, -8, -2],
 [-20, -9, -10, -4],
 [-16, -6, -11, -5],
 [0, 2, -5, -3]]

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


[User]
Calculate the rank of matrix A where A =
[[4, -8, 6, -24],
 [-3, -11, 17, 20],
 [0, 8, -10, 0],
 [-2, 2, 1, 24]]

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


[User]
Find the rank of the matrix:
[[-4, 0, 16, 12],
 [-16, 12, 7, 6],
 [4, -4, 3, 2],
 [-15, 16, -16, -11]]

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, -8, -6, 2],
 [4, -8, -6, 2]]

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


[User]
Calculate the rank of matrix A where A =
[[-8, -16, 20, 0],
 [6, 6, -7, 3],
 [4, -4, 6, 6],
 [-10, -2, 1, -9]]

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


[User]
What is the rank of the matrix:
[[-3, 28, 8, -2],
 [2, 14, 6, -8],
 [-3, 9, 6, -18],
 [-2, -15, -8, 16]]?

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


[User]
What is the rank of the matrix:
[[16, 24, -8, -6],
 [0, -12, 12, -6],
 [8, -2, 10, -10],
 [16, 20, -4, -8]]?

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


[User]
What is the rank of the matrix:
[[10, -25, -2, -34],
 [-3, -17, -7, -22],
 [18, -13, 6, -18],
 [15, -5, 7, -8]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[6, 2, -8, 5],
 [-12, -4, 0, -18],
 [-6, -2, -2, -10],
 [12, 4, 4, 20]]

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-10, -18, -22, 0],
 [21, 13, 8, 8],
 [-14, -2, -7, 8],
 [0, -12, -34, 24]]

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-10, 0, -18, 2],
 [-20, -14, -10, 28],
 [-13, -9, 2, 24],
 [9, -1, 8, -7]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[0, 4, 4, -6],
 [10, -24, -18, 7],
 [4, -14, 10, 4],
 [-12, 26, 14, -3]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[29, 9, -5, -26],
 [-3, 3, 3, 4],
 [-18, -15, -2, 13],
 [-12, -24, -12, 4]]

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[2, -2, -12, 8],
 [-1, -4, -19, 1],
 [-3, 1, 8, -10],
 [-6, -2, -4, -16]]

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


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

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


[User]
What is the rank of the matrix:
[[4, 8, 8, 18],
 [-5, 5, -11, -9],
 [-3, 1, -5, -7],
 [0, 2, 16, 4]]?

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


[User]
Find the rank of the matrix:
[[21, 18, -16, -24],
 [6, 2, 8, -10],
 [9, 7, -4, -11],
 [-12, -8, 0, 16]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[10, -2, -11, -6],
 [-15, 9, 17, 16],
 [32, -6, -20, -30],
 [18, -8, -12, -22]]?

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


[User]
Calculate the rank of matrix A where A =
[[6, 15, 20, -4],
 [-4, -24, -32, 0],
 [17, -3, -4, -20],
 [8, 6, 8, -8]]

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


[User]
Determine the rank of the following matrix:
[[-15, -1, 10, -2],
 [6, -2, 2, -4],
 [-8, 4, -6, 8],
 [13, 3, -14, 6]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[20, 3, -3, 0],
 [-4, -17, -7, 8],
 [-28, 4, 8, -4],
 [10, 15, 3, -6]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-20, 23, 1, -5],
 [14, -26, 20, 14],
 [2, -14, 4, 18],
 [10, -19, 21, 9]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-13, 6, 5, 5],
 [-13, 14, 33, -3],
 [3, -8, -18, 3],
 [6, -12, -22, 2]]

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


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

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


[User]
What is the rank of the matrix:
[[-12, 6, 8, 10],
 [-12, 22, -14, 10],
 [-7, 11, -2, 14],
 [8, -9, 13, 19]]?

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


[User]
Calculate the rank of matrix A where A =
[[20, 15, -24, -14],
 [4, 16, -13, -1],
 [24, -12, -2, -18],
 [16, 12, 0, -4]]

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


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

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


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

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-2, 8, -1, 6],
 [6, 17, 5, 6],
 [-8, -16, -16, -12],
 [-8, -16, -5, -3]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[5, -17, -3, 7],
 [-7, 11, 1, -5],
 [-9, 21, 3, -9],
 [8, -8, 0, 4]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[4, 4, -8, 1],
 [12, -16, 4, 17],
 [-4, 16, -12, -11],
 [-8, 8, 0, -10]]

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


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

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


[User]
Find the rank of the matrix:
[[0, -6, 4, 8],
 [-15, -14, 13, 22],
 [-12, -7, 6, 16],
 [6, 5, -4, -10]]

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


[User]
Determine the rank of the following matrix:
[[0, -1, -13, -16],
 [7, 3, -3, -6],
 [-7, -6, -8, -10],
 [6, 1, 21, 20]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-7, -7, 10, -12],
 [12, 15, -17, 14],
 [-4, 8, -8, 0],
 [-10, -13, 7, 6]]

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


[User]
Determine the rank of the following matrix:
[[28, 14, -16, 13],
 [8, 4, -5, 4],
 [-16, -8, 7, -6],
 [8, 7, -8, 7]]

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


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

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


[User]
Find the rank of the matrix:
[[-10, -16, 2, 24],
 [-9, -14, 3, 20],
 [-14, 31, 19, 12],
 [6, 10, 0, -16]]

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


[User]
Calculate the rank of matrix A where A =
[[-11, -4, -7, 3],
 [-5, 0, -1, -1],
 [-13, -2, -5, 0],
 [-2, 12, 14, -16]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[14, -3, -10, 9],
 [-13, 4, 11, -7],
 [-17, 7, 4, 10],
 [1, 0, -2, 3]]?

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[10, -15, -18, 12],
 [-7, 12, 14, -10],
 [-2, 12, 12, -12],
 [-8, 3, 6, 0]]

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


[User]
What is the rank of the matrix:
[[-8, -23, 5, -5],
 [-7, 7, 8, -8],
 [-27, -3, 1, -1],
 [-19, 0, -7, 7]]?

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],
 [-8, -6, 2, 6],
 [-16, -12, 4, 12]]

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


[User]
What is the rank of the matrix:
[[1, 11, 29, 16],
 [-14, 14, -4, 1],
 [-3, 11, 24, 12],
 [1, 11, 29, 16]]?

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


[User]
Find the rank of the matrix:
[[20, -16, -4, 32],
 [27, -18, -7, 37],
 [10, -4, -2, 14],
 [11, -5, -5, 8]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-22, -8, -10, 2],
 [5, -8, 3, 21],
 [1, -2, 1, 9],
 [8, 8, 4, -4]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-20, -4, -6, -28],
 [24, 8, 12, 40],
 [18, 4, -2, 12],
 [8, -12, -2, 12]]

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


[User]
Calculate the rank of matrix A where A =
[[6, -11, 18, -9],
 [11, -16, 3, -9],
 [-2, -4, -8, -3],
 [5, -6, 1, -3]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-3, -1, 8, -5],
 [23, -13, -10, 16],
 [-14, 12, 6, -15],
 [19, -16, -4, 16]]

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


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

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


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

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-5, -4, -2, 4],
 [-1, -2, 2, 8],
 [-10, -8, -4, 8],
 [13, 6, 14, 16]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[7, -16, 11, 17],
 [-7, 5, -10, -11],
 [-5, -9, -6, -1],
 [6, -20, 10, 18]]

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


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

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


[User]
Determine the rank of the following matrix:
[[12, 24, -4, 12],
 [-10, 2, -7, 2],
 [-3, -3, 0, -1],
 [6, -3, -6, -12]]

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


[User]
Calculate the rank of matrix A where A =
[[5, -6, -11, 0],
 [-5, -18, -13, -2],
 [-19, 5, 24, 4],
 [-6, -21, -15, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[-9, 14, -8, 0],
 [11, -10, 16, -8],
 [0, -16, -14, 18],
 [-5, 22, 8, -16]]

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


[User]
Determine the rank of the following matrix:
[[9, 2, 4, 0],
 [-3, 9, -4, 19],
 [-11, -4, 6, 7],
 [-20, 1, -8, 13]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[24, -6, 18, 15],
 [12, -18, 4, 0],
 [-12, 6, -8, -6],
 [24, -6, 18, 15]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-2, 7, 4, -1],
 [-4, -4, -1, 15],
 [8, 12, 4, 8],
 [16, 8, 0, 8]]

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


[User]
Find the rank of the matrix:
[[-4, -2, 12, 2],
 [-18, -4, 4, 26],
 [24, 6, -10, -34],
 [-13, -4, 4, 23]]

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


[User]
Find the rank of the matrix:
[[0, 8, -12, 14],
 [-4, -8, 8, -16],
 [-2, 12, -20, 20],
 [3, -10, 18, -16]]

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


[User]
Calculate the rank of matrix A where A =
[[14, 26, 19, 13],
 [-8, -20, -22, -22],
 [0, -6, 5, 13],
 [-12, -12, 0, 8]]

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


[User]
Calculate the rank of matrix A where A =
[[16, 25, 10, 13],
 [-1, -4, -1, -4],
 [10, 1, 4, -11],
 [-14, -17, -8, -5]]

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


[User]
Find the rank of the matrix:
[[-6, -2, -4, -4],
 [15, -5, 2, 0],
 [-6, -1, 1, 6],
 [24, 6, 6, -4]]

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-3, 4, -6, 4],
 [9, -12, 12, -12],
 [-24, 16, 3, 25],
 [-5, 12, 7, 9]]

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


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

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


[User]
Find the rank of the matrix:
[[21, -12, 3, -6],
 [15, -8, 7, 0],
 [-1, 2, 12, 11],
 [2, 0, 10, 8]]

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


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

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


[User]
Determine the rank of the following matrix:
[[0, 0, -1, 2],
 [12, 24, -14, -20],
 [6, 12, -6, -12],
 [-4, -8, 7, 2]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-6, -10, 4, 4],
 [-5, -3, -6, -2],
 [-4, -4, -2, 0],
 [8, 0, 18, 8]]

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


[User]
Determine the rank of the following matrix:
[[24, -3, 4, 19],
 [-14, 11, 9, -17],
 [-5, 12, 13, -16],
 [1, -7, -8, 17]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[16, -10, -15, -8],
 [-15, 2, -4, 19],
 [17, 6, 8, -21],
 [24, 20, -10, -8]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[7, -17, -2, -22],
 [1, -2, 1, -4],
 [-4, 11, 5, 10],
 [-1, -6, -10, -1]]

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


[User]
Find the rank of the matrix:
[[24, -19, -10, 10],
 [6, 9, 0, 20],
 [9, 2, 20, -1],
 [-16, 16, 4, 0]]

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


[User]
Determine the rank of the following matrix:
[[-9, -12, -12, -6],
 [18, 6, 18, 3],
 [-3, -22, -10, -11],
 [-18, 0, -16, 0]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[4, -2, -4, -2],
 [-12, 6, 0, 14],
 [-6, 3, 0, 7],
 [-2, 1, -1, 3]]

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


[User]
Determine the rank of the following matrix:
[[-3, 13, -6, -4],
 [-16, 4, 10, 16],
 [8, -2, -5, -8],
 [-9, -3, 9, 12]]

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


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

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


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

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-6, 2, 2, -2],
 [12, -4, -4, 4],
 [12, -14, 16, 19],
 [-3, 5, -7, -7]]

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


[User]
Find the rank of the matrix:
[[-8, 8, -12, -4],
 [-2, 4, -20, 0],
 [-12, 10, -1, -7],
 [-5, 2, 18, -4]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[3, 0, 6, -1],
 [3, -1, 8, 1],
 [6, 0, 12, -2],
 [-12, -5, -14, 14]]

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


[User]
Find the rank of the matrix:
[[-16, 9, -2, -9],
 [6, 4, 3, 9],
 [10, -20, -3, -5],
 [4, 0, 2, 6]]

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


[User]
Find the rank of the matrix:
[[-18, -12, 8, 14],
 [-2, 2, -3, -4],
 [2, 4, -4, -6],
 [-11, -4, 1, 3]]

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


[User]
What is the rank of the matrix:
[[4, -1, -1, -3],
 [32, -8, 4, -16],
 [-24, 6, -3, 12],
 [-12, 3, -9, 1]]?

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


[User]
Calculate the rank of matrix A where A =
[[0, -8, -16, -12],
 [-4, -12, -20, -9],
 [2, 7, 12, 6],
 [-2, -5, -8, -3]]

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


[User]
Calculate the rank of matrix A where A =
[[-8, -16, -10, -6],
 [-10, -8, 1, -10],
 [-5, -1, -4, -3],
 [11, 25, 13, 9]]

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


[User]
Determine the rank of the following matrix:
[[-16, -16, -2, 0],
 [10, 10, 15, -22],
 [2, 2, 9, -14],
 [4, 4, 8, -12]]

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


[User]
Calculate the rank of matrix A where A =
[[2, 12, -12, -2],
 [6, 21, -22, -7],
 [4, -6, 4, -6],
 [-8, 12, -8, 12]]

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


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

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


[User]
Find the rank of the matrix:
[[-25, 18, -16, -23],
 [-5, 14, -16, -11],
 [-4, -16, 20, 8],
 [-17, -8, 12, -3]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-9, -9, -2, -20],
 [-1, 4, 3, 4],
 [7, 11, 7, 21],
 [-13, 6, 17, -4]]

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


[User]
What is the rank of the matrix:
[[24, 4, 4, 8],
 [2, -1, -3, 4],
 [14, 2, 9, 13],
 [-8, 0, 5, -3]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[-5, 9, -18, 5],
 [-6, -9, 9, 6],
 [-4, -6, 6, 4],
 [-5, -2, -1, 5]]

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


[User]
What is the rank of the matrix:
[[34, 13, -4, -11],
 [4, 16, 17, -8],
 [-8, -24, -14, 11],
 [2, 11, 1, -4]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[3, 5, 12, 4],
 [0, -6, -12, -3],
 [-6, 14, 24, 4],
 [-6, 0, -4, -3]]

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


[User]
What is the rank of the matrix:
[[-11, -16, 3, 7],
 [10, 4, -4, -4],
 [-9, -3, 5, 6],
 [4, 3, -2, -3]]?

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


[User]
Determine the rank of the following matrix:
[[-6, 0, -6, 0],
 [-4, 4, -8, 4],
 [-16, -14, 22, -23],
 [13, 15, -10, 18]]

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


[User]
Calculate the rank of matrix A where A =
[[14, 4, -14, 18],
 [-8, -8, 8, 4],
 [-6, 0, 6, -12],
 [-5, -2, 5, -5]]

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-18, -16, -20, 10],
 [3, 8, 6, 1],
 [6, 12, 10, 0],
 [0, 16, 8, 8]]

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],
 [12, 3, -12, -3],
 [-16, -4, 16, 4]]

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


[User]
Find the rank of the matrix:
[[-16, 0, 1, -16],
 [-9, -12, -12, -9],
 [13, 1, 0, 13],
 [-30, -2, -11, -30]]

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


[User]
What is the rank of the matrix:
[[-15, -30, 9, 0],
 [4, 12, -5, -10],
 [7, 11, 6, 13],
 [8, 14, 1, 8]]?

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


[User]
Determine the rank of the following matrix:
[[-8, -3, 10, 6],
 [14, 17, -8, -9],
 [19, 10, -25, -15],
 [9, -1, -17, -8]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[2, -4, -10, -6],
 [-4, -16, 12, -20],
 [-6, -7, 22, 11],
 [6, 0, -25, -13]]

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


[User]
What is the rank of the matrix:
[[11, -7, -6, 16],
 [18, -15, 2, 25],
 [13, -11, 2, 18],
 [1, -2, 4, 1]]?

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[10, 4, 2, 0],
 [-1, -2, -3, 7],
 [0, -12, -8, 20],
 [3, -4, -1, 4]]

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


[User]
Calculate the rank of matrix A where A =
[[21, -12, -9, -3],
 [-1, 1, 2, 9],
 [4, -16, -8, -9],
 [2, 8, 2, -3]]

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


[User]
Determine the rank of the following matrix:
[[6, 0, -16, -28],
 [-7, -1, 8, -34],
 [10, 1, -22, -4],
 [-14, 1, 8, -28]]

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


[User]
Determine the rank of the following matrix:
[[-16, 12, 6, 4],
 [24, -20, 8, -10],
 [16, -4, -9, -3],
 [6, 4, -3, -1]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[12, -8, -8, -4],
 [-6, 4, 7, 2],
 [3, -2, -2, -1],
 [-6, 4, 5, 2]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-1, 5, 7, -8],
 [3, 1, -3, 2],
 [0, 8, 9, -11],
 [12, 4, -12, 8]]

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


[User]
Find the rank of the matrix:
[[-3, 6, 22, -6],
 [-24, -15, -6, -20],
 [3, -3, -10, 3],
 [21, 12, 4, 17]]

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


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

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


[User]
Find the rank of the matrix:
[[-5, -10, -11, -3],
 [-4, 16, 12, 12],
 [9, -6, -1, -9],
 [13, -7, 0, -12]]

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


[User]
What is the rank of the matrix:
[[-1, -3, 6, 3],
 [-10, 18, -36, -20],
 [-6, 0, -19, 4],
 [-13, 21, -36, -25]]?

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


[User]
Determine the rank of the following matrix:
[[-6, -8, 3, 6],
 [4, -1, 6, 12],
 [20, -15, -27, -5],
 [8, -24, 0, 28]]

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


[User]
Calculate the rank of matrix A where A =
[[4, -16, 0, 0],
 [2, 2, 8, 6],
 [10, -20, 16, 12],
 [5, -15, 4, 3]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[6, -2, 7, -3],
 [12, 16, 16, -18],
 [-16, -5, -12, 10],
 [8, -17, 9, 4]]

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


[User]
What is the rank of the matrix:
[[-5, 4, 10, 7],
 [3, 6, 30, -3],
 [4, 8, 20, 6],
 [16, 4, 8, -4]]?

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


[User]
Determine the rank of the following matrix:
[[-17, 13, -11, -6],
 [-15, 11, -2, -2],
 [-8, 6, -7, -2],
 [-21, 15, -10, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[-1, 2, 6, -1],
 [5, 2, 12, -11],
 [-1, -8, -16, 8],
 [-5, -6, -22, 15]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-1, -4, -5, 16],
 [-9, 16, -19, -12],
 [-1, 0, -3, 4],
 [11, -16, 25, 4]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-4, 6, -8, -8],
 [18, 8, -14, -25],
 [2, 4, -6, -10],
 [-3, 8, -11, -7]]

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


[User]
What is the rank of the matrix:
[[-3, 8, -11, -15],
 [5, 17, 7, -15],
 [-3, -12, -8, 4],
 [-1, 3, 8, 14]]?

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


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

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


[User]
Find the rank of the matrix:
[[34, -2, 19, -11],
 [26, 2, 17, -7],
 [14, -2, 4, -8],
 [16, 12, 18, 0]]

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


[User]
Determine the rank of the following matrix:
[[6, -1, 8, -18],
 [6, 6, -7, 13],
 [20, 9, 5, 7],
 [-15, -7, -5, -11]]

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


[User]
What is the rank of the matrix:
[[-6, 7, 5, -6],
 [11, -6, 1, 2],
 [9, 0, -1, -4],
 [0, 12, -2, -14]]?

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-10, 3, 0, 10],
 [17, -9, 8, -16],
 [11, -12, -6, -8],
 [27, 0, 12, -30]]

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


[User]
Calculate the rank of matrix A where A =
[[5, -10, 2, -3],
 [4, -4, 18, -12],
 [-3, 12, 0, 9],
 [3, -10, -10, 3]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-2, 10, 8, -13],
 [20, 12, 0, 2],
 [0, -14, -10, 16],
 [-8, 12, 12, -20]]

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


[User]
Calculate the rank of matrix A where A =
[[0, -4, -10, -15],
 [11, 16, -19, 4],
 [6, -8, 10, 0],
 [2, -4, 0, -5]]

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-17, -1, -3, -2],
 [3, 9, 12, -12],
 [-24, -2, -5, -2],
 [0, 0, 0, 0]]

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


[User]
Determine the rank of the following matrix:
[[1, -1, -3, -4],
 [17, -7, 9, -28],
 [-5, 3, 3, 12],
 [11, -4, 9, -16]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-2, -6, 3, 8],
 [-12, -11, 10, 13],
 [4, 7, -4, -11],
 [-20, -14, 13, 27]]

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


[User]
Find the rank of the matrix:
[[-1, 17, 2, 22],
 [0, -18, 0, -21],
 [9, -11, 2, -9],
 [4, 10, 4, 17]]

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


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

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


[User]
What is the rank of the matrix:
[[-3, -6, -3, 12],
 [-8, -10, 1, 2],
 [8, 12, 2, -12],
 [1, 8, 17, 8]]?

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


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

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


[User]
Find the rank of the matrix:
[[-20, -27, 30, -8],
 [20, -1, 5, -19],
 [28, 9, -6, -14],
 [-48, -20, 16, 20]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[1, -15, -2, -16],
 [-4, 28, -8, 32],
 [2, -6, 8, -8],
 [-4, 12, -16, 16]]

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[12, 7, 0, 9],
 [32, 24, 6, 16],
 [2, 2, -5, 5],
 [12, 19, 6, -3]]?

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


[User]
Determine the rank of the following matrix:
[[22, 24, 4, -16],
 [16, 20, -6, -11],
 [20, 24, -4, -14],
 [6, 4, 10, -5]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-3, 8, 5, -6],
 [-3, -16, 17, -6],
 [-2, -16, 14, -4],
 [2, 12, -12, 4]]

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


[User]
Find the rank of the matrix:
[[-12, 18, 2, -6],
 [-4, -6, -2, 2],
 [4, -4, -1, 0],
 [4, 12, 1, -8]]

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


[User]
Determine the rank of the following matrix:
[[-14, 4, -18, 12],
 [-4, 0, -12, 4],
 [2, 2, 8, -8],
 [1, 11, 10, -36]]

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


[User]
Calculate the rank of matrix A where A =
[[-3, 13, -15, -8],
 [1, -4, 4, 2],
 [-3, 9, -3, 0],
 [-4, 16, -16, -8]]

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


[User]
Find the rank of the matrix:
[[-8, 16, -16, -24],
 [11, -1, -8, 16],
 [9, 1, 20, -24],
 [-13, 5, -14, 0]]

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


[User]
Find the rank of the matrix:
[[-6, 2, -18, -9],
 [8, 3, 22, -4],
 [-6, -11, 16, 13],
 [4, 6, 10, -15]]

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


[User]
Find the rank of the matrix:
[[11, -2, 0, 3],
 [19, -8, 4, 7],
 [-3, -4, 4, 1],
 [28, 4, -8, 4]]

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-20, -4, 6, 12],
 [-25, 2, 2, 4],
 [1, -4, 3, 6],
 [12, 8, -8, -16]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[15, -22, 14, -3],
 [9, 4, 4, 3],
 [12, -12, 8, -2],
 [0, 14, -8, 1]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[4, -4, -12, 28],
 [-4, 0, 6, -18],
 [2, -6, -12, 24],
 [10, 18, 12, 0]]

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


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

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[0, -10, 4, -9],
 [-4, -10, 1, -6],
 [25, 10, 14, -9],
 [18, 4, 11, -9]]

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


[User]
What is the rank of the matrix:
[[12, -1, -15, -1],
 [-10, 0, -1, 0],
 [-12, -5, 13, -5],
 [-17, 8, 14, 8]]?

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


[User]
What is the rank of the matrix:
[[14, 13, 18, -20],
 [4, 8, 8, 0],
 [10, 8, 12, -16],
 [8, 10, 12, -8]]?

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-4, -2, -2, -4],
 [-13, -11, -11, -4],
 [1, -1, -1, 4],
 [16, 14, 14, 4]]

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


[User]
Calculate the rank of matrix A where A =
[[-3, 6, -16, 14],
 [-9, -8, -9, 3],
 [-3, 6, -16, 14],
 [-9, 0, -21, 15]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[2, 11, 0, -4],
 [1, -12, -4, 7],
 [-6, 0, 0, -10],
 [2, 22, 8, -6]]

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


[User]
What is the rank of the matrix:
[[-4, -4, -1, 0],
 [14, 15, 2, -3],
 [4, 4, 1, 0],
 [0, 2, -3, -6]]?

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


[User]
What is the rank of the matrix:
[[8, 16, -12, 8],
 [0, 18, -19, 15],
 [-12, 8, -8, 10],
 [-12, 13, -18, 17]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[12, -3, 6, 0],
 [1, -14, 6, -2],
 [8, 9, 8, 10],
 [-10, -14, 16, 12]]

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


[User]
What is the rank of the matrix:
[[-10, 24, 18, -16],
 [20, 7, -1, 12],
 [-12, 9, 9, -12],
 [-16, 12, 12, -16]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[-6, 22, -28, -13],
 [21, 4, -13, 0],
 [2, 26, -23, -20],
 [-7, -16, 25, 8]]

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


[User]
What is the rank of the matrix:
[[24, -22, 17, -9],
 [-24, 22, -16, 5],
 [-12, 14, -13, 21],
 [2, 0, 1, 0]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[3, 0, -3, 15],
 [6, 5, 4, -10],
 [-4, 0, 4, -20],
 [2, 0, -2, 10]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-1, -6, -31, 12],
 [15, -18, -15, -4],
 [4, -7, 4, -6],
 [-1, -3, -7, 2]]

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[12, -24, -32, -16],
 [3, -15, -11, -10],
 [-8, 24, 26, 14],
 [0, -6, -2, -4]]

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


[User]
Find the rank of the matrix:
[[0, 0, 0, 0],
 [28, 13, 9, -28],
 [12, 7, 3, -12],
 [4, 14, -6, -4]]

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


[User]
Determine the rank of the following matrix:
[[4, -5, -3, -23],
 [-4, 4, 16, -12],
 [4, -7, -10, -21],
 [11, -4, -3, -10]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-6, 6, 12, 11],
 [-10, 21, 17, 10],
 [7, -9, -3, -27],
 [4, 0, 0, -24]]

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


[User]
What is the rank of the matrix:
[[-4, 8, -8, -4],
 [9, -3, -12, 9],
 [-10, 0, 20, -10],
 [-4, 3, 2, -4]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[-10, 6, 7, 2],
 [2, -6, 4, -10],
 [13, -7, -10, -1],
 [-18, 14, 9, 10]]

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-5, 1, -6, 3],
 [-7, 11, 14, 1],
 [-8, 10, 10, 2],
 [4, -5, -5, -1]]

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


[User]
Determine the rank of the following matrix:
[[16, 33, -13, -25],
 [-10, -6, -2, -2],
 [-14, -28, -4, 20],
 [-4, -12, -8, 10]]

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


[User]
Calculate the rank of matrix A where A =
[[-1, 9, 5, 1],
 [1, 16, 0, -1],
 [2, -18, -10, -2],
 [0, -15, -3, 0]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-6, -8, 15, 0],
 [-4, -3, -3, 3],
 [2, -3, 8, -11],
 [-6, -10, 9, -6]]

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


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

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


[User]
What is the rank of the matrix:
[[-6, 4, 24, -4],
 [-12, 12, 32, 4],
 [-9, 12, 12, 12],
 [-6, 7, 12, 5]]?

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


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

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


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

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[24, -4, 28, 16],
 [10, -7, 13, 6],
 [8, 4, 8, 6],
 [-22, 1, -25, -15]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[16, 0, 16, 16],
 [-16, 4, -8, -8],
 [20, -2, 16, 16],
 [-20, 2, -16, -16]]

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


[User]
What is the rank of the matrix:
[[20, 15, -2, 5],
 [-16, -12, 0, 4],
 [-16, -12, 3, -11],
 [-12, -9, -1, 8]]?

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


[User]
What is the rank of the matrix:
[[-6, 16, 20, 8],
 [9, -8, -2, -12],
 [0, -12, -21, 0],
 [9, -16, -16, -12]]?

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


[User]
Determine the rank of the following matrix:
[[21, 4, 6, -7],
 [15, 4, 4, -5],
 [-12, -16, 0, 4],
 [-6, 0, -2, 2]]

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


[User]
Find the rank of the matrix:
[[-7, -3, 2, 7],
 [-6, -14, 16, 6],
 [-1, 11, -14, 1],
 [10, 2, 0, -10]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[20, 8, 24, 4],
 [-10, 6, 1, 14],
 [5, -8, -7, -15],
 [7, 7, 4, 2]]

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


[User]
Find the rank of the matrix:
[[6, -6, 3, 15],
 [0, -2, -1, -3],
 [0, -4, -2, -6],
 [-4, 10, 1, -1]]

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


[User]
Find the rank of the matrix:
[[4, -8, 1, 6],
 [-4, 5, 0, -5],
 [-8, -14, 8, -2],
 [8, 2, -4, 6]]

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


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

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


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

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[14, 13, 4, 11],
 [4, 13, 16, 18],
 [4, 3, 0, 2],
 [-18, -6, 12, 3]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-12, 4, -4, 16],
 [0, -4, 22, 8],
 [5, 3, -24, -16],
 [3, 1, -10, -8]]

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


[User]
Calculate the rank of matrix A where A =
[[9, -11, -21, -3],
 [-6, 16, 12, 3],
 [3, 2, 0, 0],
 [-1, 3, -11, 0]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-2, -2, -12, -8],
 [-6, 2, -20, -16],
 [6, -8, 8, 10],
 [-6, 9, -6, -9]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[9, 2, 24, -1],
 [9, -1, 16, -4],
 [-5, 3, -4, 6],
 [-15, 2, -16, -1]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-9, -7, -4, 18],
 [19, -2, -7, -6],
 [3, 4, -10, 1],
 [-9, -7, -4, 18]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[0, -3, 0, 3],
 [-12, -16, -4, 4],
 [0, -6, 0, 6],
 [3, -8, 1, 11]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-8, 10, 2, -15],
 [-2, 22, -4, -9],
 [1, -18, 7, 9],
 [7, -14, -9, 8]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-3, 20, -5, 3],
 [-7, -4, 1, -12],
 [-10, 22, -8, 32],
 [-8, -14, 2, 6]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-2, 15, -13, -6],
 [-1, 2, 0, -4],
 [-2, 18, -18, -2],
 [-9, 1, 7, -8]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[8, 12, 12, 4],
 [11, 3, -6, 7],
 [10, 2, 15, 2],
 [18, 2, -6, 10]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[0, -6, -5, -9],
 [1, 7, 7, 12],
 [-2, 10, 6, 12],
 [1, 1, 2, 3]]

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


[User]
Find the rank of the matrix:
[[-20, 2, -24, -13],
 [4, -10, 0, 5],
 [8, 4, 12, 4],
 [10, 1, 13, 6]]

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


[User]
Determine the rank of the following matrix:
[[4, -2, 2, -7],
 [-2, 5, -3, -9],
 [-28, 28, 12, 8],
 [-3, 10, -2, -21]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-16, -8, 8, -18],
 [-8, -4, 4, -9],
 [-4, 4, -4, -6],
 [12, 0, 0, 15]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[7, -3, -9, 1],
 [-5, 1, -1, -3],
 [-15, 17, 3, -15],
 [8, 8, 4, 0]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[12, -16, 4, -12],
 [-17, 16, -3, 17],
 [-1, 3, -1, 1],
 [-6, 13, -4, 6]]

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


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

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


[User]
Find the rank of the matrix:
[[0, 4, -9, -14],
 [0, 8, 3, -3],
 [0, 6, -19, -4],
 [0, -13, 1, -4]]

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


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

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


[User]
Determine the rank of the following matrix:
[[12, 6, 6, -2],
 [20, 4, 8, -4],
 [10, 2, 4, -2],
 [13, -1, 4, -3]]

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


[User]
What is the rank of the matrix:
[[-16, -2, 18, 14],
 [-20, 16, 2, 6],
 [-20, 18, -4, 4],
 [-24, 14, 6, 10]]?

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[11, 20, 20, 20],
 [12, 0, 0, 0],
 [-16, 0, 0, 0],
 [7, 4, 4, 4]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[20, 22, -8, 4],
 [10, 4, -16, -22],
 [4, 3, -4, -4],
 [11, 10, -8, -5]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[0, -3, 0, 2],
 [0, 3, -9, -5],
 [0, 0, -12, -4],
 [0, 9, 6, -4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-27, -9, -2, 15],
 [23, 10, -2, -12],
 [-21, -9, -10, 15],
 [2, 18, -8, -2]]

Present the answer in LaTex format: \boxed{Your answer}