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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-9, -4, 0, 19],
 [-8, -6, 4, 20],
 [-5, -9, 9, -8],
 [12, 14, -12, -8]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[20, 22, -4, 3],
 [-20, -22, 4, -3],
 [-20, 6, 16, -3],
 [11, -3, -16, 3]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[4, -12, 8, 2],
 [12, 3, -16, 2],
 [-13, -3, 19, -2],
 [32, -12, -16, 8]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-5, -6, -16, 15],
 [5, -2, -2, 4],
 [-10, 14, 9, -16],
 [-20, 12, -8, -3]]

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


[User]
Calculate the rank of matrix A where A =
[[3, 9, -18, 3],
 [24, 9, -4, 10],
 [4, 12, -24, 4],
 [3, 9, -18, 3]]

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


[User]
Determine the rank of the following matrix:
[[34, -22, 0, 15],
 [-11, 1, 4, -8],
 [-2, 0, 14, -1],
 [17, -15, 16, 6]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-8, 8, -4, -14],
 [4, 6, 12, -13],
 [12, 2, 20, -7],
 [4, -8, -2, 15]]

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-1, 5, 13, -18],
 [1, 13, 17, -18],
 [-10, -8, -12, 12],
 [16, -2, -10, 18]]?

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


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

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


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

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


[User]
Find the rank of the matrix:
[[30, 11, 2, -8],
 [-8, -5, 11, 4],
 [18, -6, 9, 0],
 [7, -15, 13, 5]]

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


[User]
Find the rank of the matrix:
[[8, -4, -8, 24],
 [17, 11, -2, -3],
 [-16, -10, 0, -3],
 [20, 8, -4, 15]]

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


[User]
Calculate the rank of matrix A where A =
[[1, -7, -13, 7],
 [3, 0, 3, -3],
 [0, 12, 12, -6],
 [1, -3, 5, -4]]

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


[User]
Calculate the rank of matrix A where A =
[[8, 0, -2, 8],
 [0, 8, -12, -16],
 [-24, 3, 21, 0],
 [0, 5, -1, 0]]

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


[User]
Find the rank of the matrix:
[[-6, -9, 15, 21],
 [0, 5, -8, -11],
 [8, 12, -20, -28],
 [12, 8, -14, -20]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[16, -12, 12, -24],
 [-15, -6, 19, -6],
 [-2, 10, -16, 16],
 [22, -8, 2, -20]]

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


[User]
Find the rank of the matrix:
[[-5, -13, 9, -4],
 [-5, -7, -6, 2],
 [1, -1, 3, -4],
 [-12, -20, 2, 4]]

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


[User]
Find the rank of the matrix:
[[-2, 1, -3, 0],
 [0, -3, 5, 0],
 [1, 10, -16, 0],
 [-5, 4, -10, 0]]

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


[User]
Find the rank of the matrix:
[[-8, 4, -20, 12],
 [11, 8, 11, 0],
 [-1, -13, 14, -15],
 [5, 2, 7, -2]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[7, -16, 17, 3],
 [-3, -12, 10, -6],
 [-1, 16, -15, 3],
 [5, -8, 9, 3]]

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


[User]
Determine the rank of the following matrix:
[[-8, -8, 0, -20],
 [8, 10, -4, 18],
 [-2, -5, 6, -2],
 [4, 7, -6, 7]]

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


[User]
Find the rank of the matrix:
[[-9, 19, 0, -14],
 [12, -20, 0, 20],
 [3, 3, -6, 6],
 [1, -1, -17, -1]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[0, 2, 8, 0],
 [8, 4, -4, -8],
 [6, 5, 5, -6],
 [-2, -6, -19, 2]]

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


[User]
Calculate the rank of matrix A where A =
[[5, -8, 1, 4],
 [9, -10, 5, -6],
 [-15, 18, -7, 6],
 [-9, 11, -3, 3]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-8, 9, -9, 8],
 [-16, 7, -7, 16],
 [12, -8, 8, -12],
 [-21, 3, -3, 21]]

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


[User]
What is the rank of the matrix:
[[-11, 3, 16, -2],
 [-9, 12, -6, 12],
 [-18, 10, 16, 4],
 [14, -7, -14, -2]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[0, -6, 0, 6],
 [-1, 11, 4, -7],
 [-2, 13, 8, -5],
 [3, 0, -12, -12]]

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


[User]
What is the rank of the matrix:
[[3, 0, -1, -3],
 [9, 3, -4, -6],
 [-9, -15, 8, -6],
 [9, 6, -5, -3]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-37, 21, 14, -37],
 [-11, 15, 22, -5],
 [-8, 6, 6, -7],
 [20, -6, 4, 24]]

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


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

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


[User]
Find the rank of the matrix:
[[0, -6, 0, 0],
 [6, 16, 8, -4],
 [0, 6, 0, 0],
 [18, -6, 24, -12]]

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


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

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


[User]
Find the rank of the matrix:
[[-6, -1, 5, -4],
 [2, 5, -18, -8],
 [0, -6, 21, 12],
 [-2, -7, 25, 12]]

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


[User]
Determine the rank of the following matrix:
[[14, 8, -6, 10],
 [-10, -6, 4, -6],
 [-7, -2, 5, -13],
 [-5, -4, 1, 1]]

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


[User]
Determine the rank of the following matrix:
[[-1, -5, -4, 15],
 [-14, -8, 14, 5],
 [3, -1, 4, 23],
 [-5, -1, 4, -9]]

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


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

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


[User]
What is the rank of the matrix:
[[-2, 8, -13, -5],
 [3, 5, 11, 12],
 [-7, 15, -13, 2],
 [-2, 13, 0, 10]]?

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


[User]
Determine the rank of the following matrix:
[[-8, 2, 0, -2],
 [-2, -3, 7, -5],
 [4, 0, 3, 3],
 [14, -5, -15, -1]]

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


[User]
Find the rank of the matrix:
[[-1, -1, -6, -2],
 [-1, 7, -13, -7],
 [-12, -22, -7, 25],
 [-3, 21, -14, -2]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[20, -20, -8, -14],
 [-18, 21, 12, 12],
 [6, -17, -23, 4],
 [-8, 15, 15, 3]]

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


[User]
Find the rank of the matrix:
[[-15, -1, 5, -13],
 [-6, 12, 14, 2],
 [9, -13, -15, 3],
 [12, 10, 2, 8]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[15, -4, -18, 5],
 [1, 0, -6, 3],
 [-17, 5, 22, -8],
 [-1, 6, -2, -13]]

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


[User]
What is the rank of the matrix:
[[-7, 12, -4, -24],
 [-21, -4, -12, 8],
 [-5, 16, 10, -5],
 [8, -18, -24, -24]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[-11, -8, -1, -15],
 [-6, -19, -2, 30],
 [-2, -15, -5, 27],
 [28, 28, -8, 0]]

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


[User]
Find the rank of the matrix:
[[-26, 6, -18, -4],
 [-11, 0, -12, 1],
 [-7, 11, -15, -4],
 [-18, 8, -24, -2]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-13, -10, 17, -5],
 [14, -21, -6, 6],
 [-11, 19, 3, -7],
 [-12, 8, 8, -8]]

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


[User]
What is the rank of the matrix:
[[1, -9, -7, -4],
 [14, 2, 16, 4],
 [15, -15, -3, -8],
 [-19, 14, -5, 4]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[-21, 7, -11, -1],
 [6, -1, -11, -16],
 [8, -4, 2, -7],
 [-16, 6, 0, 13]]

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


[User]
Determine the rank of the following matrix:
[[15, 7, 9, 8],
 [-1, 7, 12, -7],
 [9, 3, 0, 15],
 [24, 2, 1, 15]]

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-9, 15, -9, 0],
 [-9, 7, -3, 3],
 [14, -18, 10, -2],
 [9, -7, 3, -3]]

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


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

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


[User]
Find the rank of the matrix:
[[-16, -4, 0, -8],
 [-7, -22, 0, -2],
 [0, 18, -3, -2],
 [11, -7, -1, 6]]

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


[User]
Determine the rank of the following matrix:
[[-20, -10, 5, -3],
 [-17, -7, 15, -10],
 [-2, 5, -16, 9],
 [-12, -2, 20, -14]]

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


[User]
Determine the rank of the following matrix:
[[-3, -15, 12, -6],
 [3, -3, -12, 6],
 [2, 10, -8, 4],
 [2, 7, -8, 4]]

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[11, -4, 0, 6],
 [14, -3, 6, 3],
 [9, 11, 2, -1],
 [20, 7, 2, 5]]

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


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

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


[User]
Determine the rank of the following matrix:
[[3, 1, -3, -2],
 [-14, 7, 24, 1],
 [13, 10, -7, 1],
 [9, 15, 3, 6]]

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


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

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


[User]
What is the rank of the matrix:
[[-6, -2, 12, -14],
 [-17, 4, 0, -1],
 [4, -9, -8, 2],
 [2, -4, 6, -8]]?

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


[User]
Calculate the rank of matrix A where A =
[[1, -7, 10, -1],
 [-3, 10, -9, -1],
 [-5, 7, -7, 3],
 [5, -13, 8, 3]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-9, -1, -11, 17],
 [14, 10, 6, -24],
 [8, 8, -4, -11],
 [8, 7, 1, -13]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-6, -3, 1, -4],
 [0, -9, 5, 4],
 [3, -3, 2, 4],
 [-10, 7, -5, -12]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-26, 2, -2, -24],
 [19, 5, 1, 20],
 [24, 3, 0, 28],
 [-2, 12, 0, 0]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-6, 16, 25, 13],
 [-9, 11, -11, 5],
 [-12, 10, -24, -2],
 [-2, 3, -1, 2]]

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


[User]
Find the rank of the matrix:
[[14, 2, 3, 0],
 [-2, -8, 7, -3],
 [16, -7, 13, -4],
 [4, -7, 5, -1]]

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


[User]
What is the rank of the matrix:
[[0, 10, 3, -14],
 [0, 2, 0, 1],
 [4, 20, 0, -22],
 [9, 4, -9, -13]]?

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


[User]
Find the rank of the matrix:
[[-25, -12, -11, 12],
 [24, 16, 10, -9],
 [-5, -12, -1, -3],
 [-13, 4, -7, 12]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[16, -2, -6, -16],
 [4, -7, -5, 4],
 [10, -2, -3, -5],
 [-10, -11, -4, 21]]

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


[User]
What is the rank of the matrix:
[[4, 6, -20, -26],
 [22, 18, -10, -18],
 [-6, -6, 4, -10],
 [-1, -3, 9, -5]]?

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-1, 3, -4, 5],
 [4, -12, 10, 4],
 [3, -9, 9, -3],
 [0, 0, 2, -8]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-9, 17, -11, -6],
 [-1, 9, -7, -2],
 [-18, 15, -15, -9],
 [-10, -5, -5, -3]]

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


[User]
Calculate the rank of matrix A where A =
[[-15, 0, -6, -12],
 [-10, -20, 12, -11],
 [-14, 8, -12, -10],
 [-5, 20, -18, -1]]

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


[User]
Determine the rank of the following matrix:
[[-10, -20, 4, -14],
 [-11, -18, 6, -5],
 [-3, -4, 2, 1],
 [-9, -17, 4, -10]]

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


[User]
What is the rank of the matrix:
[[0, -20, -24, 3],
 [-8, -3, -18, 1],
 [-17, 11, -8, -9],
 [-3, 10, 14, -8]]?

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


[User]
Find the rank of the matrix:
[[-2, 16, 11, 24],
 [-6, 0, -2, -22],
 [6, -13, -8, -5],
 [2, -3, -1, 3]]

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


[User]
What is the rank of the matrix:
[[11, -1, 3, -1],
 [-11, 3, -9, -8],
 [-20, 4, -12, -8],
 [-2, -2, 6, 10]]?

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[4, -4, 14, -2],
 [20, 10, 28, 14],
 [-9, -15, -7, -14],
 [0, 10, -14, 8]]

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


[User]
Calculate the rank of matrix A where A =
[[3, 3, -8, 1],
 [10, 13, -28, 11],
 [-18, -29, 24, 2],
 [16, 28, -8, -14]]

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


[User]
Determine the rank of the following matrix:
[[4, -6, 18, 8],
 [-22, -5, -4, -25],
 [6, 1, 2, 7],
 [18, 7, -4, 19]]

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


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

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


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

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[12, -27, 12, -15],
 [-2, -7, -8, -6],
 [-6, 0, -20, -7],
 [15, -31, 16, -17]]

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


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

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


[User]
What is the rank of the matrix:
[[-2, -4, -1, 3],
 [-10, 0, -17, 15],
 [-6, 8, -15, 9],
 [0, 0, 0, 0]]?

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[0, 0, 4, -1],
 [3, 0, 14, -8],
 [9, 6, 26, -12],
 [3, 6, -6, 5]]

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


[User]
What is the rank of the matrix:
[[12, -1, 25, 2],
 [-3, -8, 2, -6],
 [9, 9, 9, 8],
 [9, -6, 24, -2]]?

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


[User]
Determine the rank of the following matrix:
[[10, -16, -10, 1],
 [-17, -12, -1, 12],
 [-12, 8, -6, -5],
 [10, -8, -20, -10]]

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


[User]
Determine the rank of the following matrix:
[[-11, -3, -1, 8],
 [16, -12, -4, -28],
 [18, -6, -2, -24],
 [-6, 6, 2, 12]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-4, 6, 0, 20],
 [0, -1, 1, 3],
 [14, -14, -4, -16],
 [-12, 6, 8, -4]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-12, -6, 3, -9],
 [16, 8, -4, 12],
 [4, 2, -1, 3],
 [16, 8, -4, 12]]

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-12, 5, 2, 2],
 [-24, 15, 24, 24],
 [-5, -6, 1, 1],
 [-4, -8, 12, 12]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[10, -7, -10, -7],
 [-8, -6, -14, 8],
 [-21, 9, 12, 15],
 [4, -3, -8, -1]]

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


[User]
Find the rank of the matrix:
[[-8, -14, -1, -14],
 [-1, -10, -5, -7],
 [-16, -16, 4, -16],
 [1, -2, -4, 7]]

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


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

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


[User]
What is the rank of the matrix:
[[-8, 20, 12, -12],
 [-6, 4, 20, 13],
 [0, -8, 8, 16],
 [6, -14, -10, 7]]?

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


[User]
What is the rank of the matrix:
[[-3, 2, -6, 5],
 [0, -2, 4, -1],
 [-18, -4, -4, 22],
 [0, 8, -16, 4]]?

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


[User]
Determine the rank of the following matrix:
[[-12, 4, 3, -4],
 [9, 11, 6, 16],
 [-12, -6, -2, -24],
 [-6, -5, -4, 8]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[12, -12, 0, 4],
 [25, -1, 16, -5],
 [-9, 9, 0, -3],
 [0, 0, 0, 0]]

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


[User]
Determine the rank of the following matrix:
[[4, -14, -8, -10],
 [-1, -7, 9, 13],
 [4, 4, -20, -28],
 [-3, 12, 5, 6]]

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


[User]
Determine the rank of the following matrix:
[[7, 16, 25, -16],
 [-1, -10, -1, 10],
 [-3, -3, -12, 3],
 [-1, -1, -4, 1]]

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


[User]
Find the rank of the matrix:
[[-3, 3, 4, 0],
 [3, -6, -25, -9],
 [0, -2, -14, -6],
 [-12, 10, 2, -6]]

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


[User]
Determine the rank of the following matrix:
[[-1, -3, -6, -12],
 [-15, 13, -6, 12],
 [-4, 6, -4, 4],
 [-19, 21, -6, 24]]

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


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

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


[User]
What is the rank of the matrix:
[[7, -15, 10, 0],
 [0, -20, 16, 20],
 [-6, 8, -4, -2],
 [5, -23, 17, 12]]?

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


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

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


[User]
What is the rank of the matrix:
[[8, 13, -22, 0],
 [15, 6, 6, 21],
 [10, 11, -14, 6],
 [-4, -3, 2, -4]]?

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


[User]
Calculate the rank of matrix A where A =
[[0, 6, -12, -2],
 [-5, 8, 3, 22],
 [1, -7, -21, 13],
 [-3, 0, 15, 13]]

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


[User]
Determine the rank of the following matrix:
[[2, 2, 4, 6],
 [13, 11, 16, 8],
 [11, 1, -6, -1],
 [-12, 3, 14, -7]]

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


[User]
What is the rank of the matrix:
[[12, 4, -28, 0],
 [-15, -13, 19, 0],
 [12, 20, 4, 0],
 [16, 24, 0, 0]]?

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


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

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


[User]
What is the rank of the matrix:
[[15, 0, 12, 0],
 [2, 4, 8, 0],
 [6, 2, 8, 0],
 [20, 0, 16, 0]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[-11, 8, 18, 18],
 [0, 6, 8, 8],
 [-4, 4, 8, 8],
 [-4, -8, -8, -8]]

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


[User]
Calculate the rank of matrix A where A =
[[12, -8, 3, 5],
 [21, -5, -6, 11],
 [-12, 4, 2, -6],
 [6, -2, -1, 3]]

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


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

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[22, 4, -24, 11],
 [-4, 2, 8, -8],
 [-14, -5, 12, -3],
 [-34, -10, 32, -11]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-4, 6, -4, 8],
 [4, -10, -11, -12],
 [-4, -2, 2, 0],
 [-16, -4, -21, 4]]

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


[User]
Determine the rank of the following matrix:
[[14, 16, 6, -4],
 [8, 6, 6, -2],
 [2, -4, 6, 0],
 [16, 1, 21, -3]]

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


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

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


[User]
Find the rank of the matrix:
[[0, -16, 22, -4],
 [0, -16, 22, -4],
 [-5, -17, 24, 2],
 [10, 2, -4, -12]]

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


[User]
Calculate the rank of matrix A where A =
[[4, -10, 2, 6],
 [-22, 10, 4, 6],
 [-13, 4, 4, 7],
 [-7, -5, -6, -9]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[12, 1, 0, 16],
 [12, -9, -12, 0],
 [-8, -4, -4, -16],
 [16, -7, -10, 8]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[2, 12, 4, -1],
 [-20, 3, 5, -13],
 [10, 3, -1, 6],
 [14, -6, 1, -4]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[10, -21, 11, -4],
 [18, -15, -3, -12],
 [0, -4, 4, 8],
 [23, -16, -7, -16]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[8, -1, -13, 12],
 [-4, 3, 3, -4],
 [-7, 12, 9, -6],
 [-11, 20, 11, -8]]

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


[User]
What is the rank of the matrix:
[[-20, 20, 16, -16],
 [-10, 0, 12, 3],
 [-8, 4, 8, -2],
 [6, 2, -8, -4]]?

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


[User]
Calculate the rank of matrix A where A =
[[-4, -2, -2, 2],
 [2, -3, -1, -11],
 [-12, -12, -9, -9],
 [16, 16, 12, 12]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[19, 8, 2, -6],
 [20, 6, 4, -6],
 [-5, 13, -19, -9],
 [-16, 4, -16, -4]]

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


[User]
What is the rank of the matrix:
[[-20, -4, 26, 22],
 [-14, -6, 11, 0],
 [-7, -11, 7, 20],
 [8, 24, 3, -12]]?

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


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

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


[User]
What is the rank of the matrix:
[[15, 10, 0, 0],
 [-5, 0, 10, -10],
 [7, 9, 13, -13],
 [2, 4, 8, -8]]?

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


[User]
Find the rank of the matrix:
[[-4, -2, 5, 5],
 [-6, -14, -9, -9],
 [-4, -8, -4, -4],
 [-12, -20, -6, -6]]

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


[User]
Determine the rank of the following matrix:
[[-6, 5, 6, 3],
 [-6, 1, 9, 6],
 [2, -7, 2, 3],
 [0, -16, 12, 12]]

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


[User]
Calculate the rank of matrix A where A =
[[-2, 6, -2, 4],
 [5, -1, 25, 3],
 [7, 5, -13, 3],
 [-8, 0, 40, 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, 16],
 [-3, 12, -3, 12],
 [4, -16, 4, -16]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[23, -29, 19, 6],
 [-10, -2, -22, 16],
 [-23, 23, -16, -18],
 [8, -14, -1, 16]]

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],
 [0, 0, 0, 0],
 [2, -1, 3, -1]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-4, 15, -16, -9],
 [6, 9, -11, -4],
 [-2, -15, 17, 8],
 [8, 24, -28, -12]]

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


[User]
Calculate the rank of matrix A where A =
[[-12, 10, -37, -1],
 [-8, 8, 0, 4],
 [-2, -16, -10, 14],
 [-5, 4, -27, -3]]

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


[User]
Determine the rank of the following matrix:
[[-12, 3, 3, -3],
 [3, -1, 2, -3],
 [10, -3, 3, -5],
 [15, -4, -1, 0]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[27, -22, 9, -11],
 [-16, 12, 15, 20],
 [27, -22, 9, -11],
 [-11, 22, 15, -5]]

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


[User]
Determine the rank of the following matrix:
[[3, 7, 3, 15],
 [-12, 0, -9, -17],
 [12, 0, 6, 9],
 [-9, -9, -3, -14]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[16, 9, -9, -23],
 [-22, -3, 3, 31],
 [-8, 1, -1, 14],
 [-4, -8, 8, 9]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-12, -2, 1, -7],
 [4, 2, 4, 6],
 [-18, -16, 31, 5],
 [-10, -4, 9, -1]]

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[9, -6, 0, 12],
 [-8, 2, 3, -11],
 [2, 22, -21, 5],
 [1, 6, -6, 2]]?

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


[User]
What is the rank of the matrix:
[[-4, -1, 1, -5],
 [3, -24, 2, 14],
 [-14, -24, 8, -8],
 [-2, 7, 1, -5]]?

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


[User]
Calculate the rank of matrix A where A =
[[-6, -2, -14, 6],
 [-1, -6, 9, -3],
 [3, -4, 15, -7],
 [3, -8, 1, -15]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[4, 20, 12, 13],
 [-18, -14, 3, 8],
 [10, -2, -9, -13],
 [14, 10, -3, -7]]

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


[User]
Find the rank of the matrix:
[[-12, 2, -5, 5],
 [-3, -8, 3, 14],
 [28, 20, -4, -16],
 [-10, -20, 10, 4]]

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


[User]
Determine the rank of the following matrix:
[[-3, -13, -2, -17],
 [23, 5, 14, 5],
 [6, 4, -4, -4],
 [16, 12, 4, 8]]

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


[User]
Determine the rank of the following matrix:
[[-4, -3, -3, -1],
 [4, 9, 9, -3],
 [4, -6, -6, 7],
 [-28, -12, -12, -13]]

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


[User]
Calculate the rank of matrix A where A =
[[-18, 1, -20, 21],
 [9, -7, 14, -12],
 [-8, 12, -16, 12],
 [3, 2, 2, -3]]

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


[User]
Determine the rank of the following matrix:
[[-4, 2, -9, 2],
 [8, 6, 7, 2],
 [-20, -20, -12, -8],
 [-14, -18, -4, -8]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[13, -3, -4, 4],
 [-9, -21, 22, 3],
 [-6, -18, 18, 3],
 [-8, 0, 4, -2]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-8, -13, -9, -1],
 [-6, -11, -3, 3],
 [8, 15, 3, -5],
 [6, 11, 3, -3]]

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


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

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


[User]
What is the rank of the matrix:
[[17, 17, -22, -16],
 [8, 8, -16, -16],
 [-11, -11, 18, 16],
 [-16, -16, 16, 8]]?

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


[User]
Calculate the rank of matrix A where A =
[[-6, -3, -1, 5],
 [-12, -7, 5, 13],
 [3, 5, -24, -13],
 [18, 10, -4, -18]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[3, -7, -2, -1],
 [8, 15, -6, -21],
 [-24, -6, 28, -2],
 [16, -6, -20, 13]]?

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


[User]
What is the rank of the matrix:
[[-18, 34, 13, -16],
 [-11, -2, -16, 19],
 [12, -24, -14, 14],
 [-11, 36, 12, -24]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[-3, -14, -11, 19],
 [-10, 2, -2, -6],
 [-7, -14, -15, 23],
 [1, 14, 9, -17]]

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


[User]
Calculate the rank of matrix A where A =
[[-3, 1, 1, 5],
 [-12, -6, 4, 5],
 [-6, -2, 2, 4],
 [9, 17, -3, 15]]

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


[User]
Find the rank of the matrix:
[[-7, -14, 13, 13],
 [13, 15, -10, -10],
 [10, 4, 2, 2],
 [13, 8, -1, -1]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-1, 8, -13, -3],
 [28, -2, -18, 9],
 [-15, 0, 9, 3],
 [-7, 14, -13, -24]]

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


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

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


[User]
Determine the rank of the following matrix:
[[4, 7, -12, 8],
 [-10, -7, 16, -13],
 [6, 6, -12, 9],
 [-20, -8, 24, -22]]

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


[User]
Find the rank of the matrix:
[[-12, -16, 4, 12],
 [4, 0, 4, 24],
 [-17, -20, 3, 3],
 [-13, -16, 3, 6]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-3, -8, 3, 20],
 [-9, -12, -3, 24],
 [-1, -4, 2, 12],
 [-6, -4, -6, 4]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[10, -4, 4, -12],
 [-8, -28, -20, 12],
 [10, 9, 11, -13],
 [9, 25, 19, -13]]

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


[User]
Determine the rank of the following matrix:
[[0, 12, -12, -2],
 [-32, 0, 0, -12],
 [0, 18, -18, -3],
 [8, 0, 0, 3]]

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


[User]
Calculate the rank of matrix A where A =
[[-12, 0, -12, -2],
 [0, -18, -2, -8],
 [22, -4, 22, 3],
 [12, 0, 12, 2]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-4, 0, -16, -4],
 [-12, -22, -9, 3],
 [9, -1, 10, -1],
 [-7, 15, -2, 3]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[4, -12, 16, -20],
 [-5, 0, 2, 9],
 [-4, 12, -9, -1],
 [-2, -3, 3, 7]]

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


[User]
Calculate the rank of matrix A where A =
[[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:
[[6, 22, 2, -8],
 [0, -4, -1, 0],
 [3, -9, -4, -4],
 [-6, 6, 5, 8]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-8, -5, 0, 3],
 [12, 10, 0, -7],
 [4, 5, 0, -4],
 [12, 9, 0, -6]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-21, -5, 4, 12],
 [-4, 1, 16, 0],
 [-24, -2, 12, 16],
 [-9, -9, 4, -4]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-4, 2, 3, -1],
 [18, 12, -18, 2],
 [-1, -1, 3, -5],
 [-11, -10, 12, -2]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-12, -4, -10, 24],
 [30, -2, 8, 4],
 [-1, -4, -7, 6],
 [13, -10, -11, 26]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-9, 6, -23, -5],
 [-6, -8, -2, -2],
 [10, 7, 0, -11],
 [-1, 18, -7, 19]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[12, -4, -2, -4],
 [-22, 8, 10, 15],
 [14, -8, -14, -18],
 [22, -8, -10, -15]]

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


[User]
Determine the rank of the following matrix:
[[-3, 12, 10, -5],
 [-15, -27, -7, -23],
 [13, 27, 7, 17],
 [0, 15, 9, -2]]

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


[User]
Find the rank of the matrix:
[[4, -3, -9, -6],
 [-4, -1, 10, -1],
 [-6, -2, 15, -4],
 [4, 6, -12, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[-11, -14, -10, -17],
 [-13, -12, -24, -31],
 [24, 40, -8, 8],
 [21, 31, 4, 17]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-2, 19, 18, 8],
 [6, 11, -4, 11],
 [8, -9, -17, 0],
 [22, 6, -13, 11]]

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


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

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


[User]
What is the rank of the matrix:
[[-9, 2, 2, 14],
 [-9, 14, 14, 8],
 [-2, -8, 2, 24],
 [2, 4, 0, -12]]?

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


[User]
What is the rank of the matrix:
[[-13, -9, -3, 10],
 [16, 30, -12, 0],
 [-8, -20, 12, 2],
 [3, 0, 3, -2]]?

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


[User]
What is the rank of the matrix:
[[-22, 0, 8, 14],
 [7, -22, 7, -10],
 [4, 18, -1, 1],
 [14, 16, -11, -5]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[12, -4, -17, -3],
 [0, 0, 0, 0],
 [0, 4, 3, 1],
 [-12, -24, -4, -4]]

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


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

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


[User]
Determine the rank of the following matrix:
[[7, 5, -5, -13],
 [-18, 16, 16, -3],
 [-6, 16, 7, -18],
 [4, 2, -2, -13]]

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


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

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


[User]
Find the rank of the matrix:
[[-5, 1, 8, 28],
 [21, -13, -10, 4],
 [7, -9, -1, -4],
 [-10, -4, 13, 8]]

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


[User]
Find the rank of the matrix:
[[-12, 2, -4, -22],
 [1, 9, 7, -9],
 [5, 12, 11, -6],
 [8, -5, 0, 19]]

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


[User]
Calculate the rank of matrix A where A =
[[6, 10, 12, 6],
 [-18, -2, -12, 12],
 [13, 3, 10, -7],
 [2, -25, -21, -26]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-17, -1, -2, 24],
 [13, -1, -2, -18],
 [-4, -2, -4, 6],
 [-12, -1, -2, 17]]

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


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

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


[User]
Determine the rank of the following matrix:
[[7, 2, -3, 0],
 [-9, -13, -16, -3],
 [-20, -13, -7, -3],
 [-10, -20, -36, -9]]

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


[User]
Determine the rank of the following matrix:
[[-4, -12, 0, 2],
 [12, -5, 18, -7],
 [10, -7, 20, -11],
 [-6, 0, 2, -10]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[14, 13, -6, 11],
 [-18, -23, -6, -24],
 [-13, -18, -7, -19],
 [18, 23, 6, 24]]

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


[User]
Determine the rank of the following matrix:
[[-6, 2, 0, 0],
 [-14, 6, 6, 2],
 [-18, 10, 18, 6],
 [-2, 0, -3, -1]]

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


[User]
Find the rank of the matrix:
[[-3, -1, 1, 0],
 [-3, 6, 12, 6],
 [-4, 0, 20, 4],
 [22, -17, 0, -13]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-4, -7, -9, -2],
 [-2, 8, -5, -9],
 [-6, 8, -16, -16],
 [-2, -8, -19, 1]]

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


[User]
Determine the rank of the following matrix:
[[10, 12, -18, 0],
 [-11, -14, 21, 0],
 [3, 2, -3, 0],
 [12, 16, -24, 0]]

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


[User]
Determine the rank of the following matrix:
[[3, 3, 15, 3],
 [-7, -7, -14, -7],
 [-5, -5, 3, -5],
 [-1, -1, 2, -1]]

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


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

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


[User]
Find the rank of the matrix:
[[14, 4, -4, -9],
 [6, 2, -4, -3],
 [-12, -5, 16, 3],
 [-10, -1, -12, 12]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[12, 6, -12, 3],
 [-4, -4, 16, 12],
 [12, 4, 0, 16],
 [-19, -11, 28, 5]]

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


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

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


[User]
Find the rank of the matrix:
[[-7, -9, -15, 14],
 [-9, 15, -9, 0],
 [9, -6, 7, 1],
 [18, -12, 14, 2]]

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


[User]
What is the rank of the matrix:
[[9, 0, -9, 21],
 [5, -4, -5, 5],
 [1, 4, -1, 9],
 [3, -3, -3, 2]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[-1, 3, -3, 4],
 [8, -14, -1, -2],
 [5, -11, 5, -8],
 [-10, 18, 0, 4]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-3, 28, -1, 10],
 [-3, 32, -3, 12],
 [-3, -4, -17, -6],
 [3, -24, 7, -8]]

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


[User]
What is the rank of the matrix:
[[-4, 6, 1, -9],
 [0, 3, 3, -12],
 [4, -7, -2, 13],
 [12, -10, 5, -5]]?

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


[User]
Determine the rank of the following matrix:
[[12, 5, -8, -7],
 [-18, -13, 4, 11],
 [3, -7, -14, -1],
 [6, 8, 4, -4]]

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


[User]
Find the rank of the matrix:
[[-4, -7, 5, -7],
 [-9, -7, 17, -5],
 [-12, -3, -13, 5],
 [-14, -14, 8, -10]]

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


[User]
What is the rank of the matrix:
[[8, 2, -2, 8],
 [-12, 4, 12, -12],
 [8, -5, -11, 8],
 [16, -3, -13, 16]]?

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


[User]
What is the rank of the matrix:
[[0, 12, 8, 12],
 [6, -3, -17, -24],
 [6, 9, -9, -12],
 [8, 24, -4, -4]]?

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[3, 8, -4, 7],
 [-5, -9, 16, -9],
 [8, 3, 29, 9],
 [-17, -3, -3, -16]]?

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


[User]
What is the rank of the matrix:
[[6, 6, -6, 8],
 [-25, -9, 13, -28],
 [-24, -12, 15, -28],
 [24, 12, -15, 28]]?

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


[User]
What is the rank of the matrix:
[[7, 13, 7, -24],
 [12, 18, 12, -9],
 [5, 8, 5, 6],
 [-6, -4, -6, -13]]?

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


[User]
Calculate the rank of matrix A where A =
[[20, 8, -8, 12],
 [4, -2, -10, -18],
 [4, 4, 4, 16],
 [-2, -2, -2, -8]]

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


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

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


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

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],
 [0, 0, 0, 0],
 [12, -12, -4, -8]]?

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-3, 3, 3, 6],
 [1, 3, -1, 6],
 [1, 3, -1, 6],
 [-11, -9, 11, -18]]

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


[User]
Determine the rank of the following matrix:
[[15, -21, 10, 1],
 [4, -10, 4, 2],
 [4, 3, -27, 4],
 [-2, 10, -30, 4]]

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


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

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


[User]
Find the rank of the matrix:
[[-19, 20, 1, -28],
 [-11, 6, -2, -12],
 [16, -30, 13, 36],
 [1, 2, 8, 0]]

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


[User]
Determine the rank of the following matrix:
[[15, -9, 17, 16],
 [-4, -12, -12, -8],
 [-7, 6, -7, -7],
 [-1, -19, -5, -8]]

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


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

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


[User]
What is the rank of the matrix:
[[7, -9, -5, 0],
 [0, 11, -5, -1],
 [-10, -12, 17, 0],
 [-7, 9, 5, 0]]?

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


[User]
Find the rank of the matrix:
[[-25, 13, 5, 2],
 [5, 7, 15, -22],
 [-8, 8, 8, -8],
 [-14, 2, -6, 8]]

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


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

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


[User]
What is the rank of the matrix:
[[4, 7, -2, 6],
 [7, 24, -8, -7],
 [0, 12, -12, -8],
 [-2, 14, -20, -10]]?

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-10, 12, -14, -18],
 [4, 3, 3, 2],
 [-10, 9, -13, -16],
 [-4, 6, -6, -8]]

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


[User]
Determine the rank of the following matrix:
[[6, 18, -8, 8],
 [9, 0, -24, 15],
 [-5, -21, 4, -6],
 [-1, 3, 4, -2]]

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


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

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


[User]
What is the rank of the matrix:
[[6, 6, -4, -6],
 [-22, 16, 2, -2],
 [8, 19, -7, -14],
 [17, 8, 5, -5]]?

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


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

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


[User]
What is the rank of the matrix:
[[-6, -18, 15, -6],
 [-1, -13, 25, 3],
 [-14, -30, 9, -18],
 [-14, -26, 2, -18]]?

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


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

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


[User]
Find the rank of the matrix:
[[-12, -10, -12, 14],
 [-1, 5, 7, 8],
 [4, -4, -8, -16],
 [-14, -6, -14, 12]]

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


[User]
Find the rank of the matrix:
[[-6, 4, -6, 8],
 [-2, 6, 0, 6],
 [3, 5, 7, 1],
 [16, 1, 20, -13]]

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


[User]
What is the rank of the matrix:
[[7, 5, -26, 0],
 [16, -1, -20, 3],
 [-33, 2, 16, -13],
 [21, 7, -30, 8]]?

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


[User]
What is the rank of the matrix:
[[18, 12, -12, 18],
 [18, 12, -6, 12],
 [6, 4, -6, 8],
 [0, 0, 0, 0]]?

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


[User]
Calculate the rank of matrix A where A =
[[-8, -7, -5, -11],
 [-6, -4, -4, -7],
 [-2, 2, -2, 1],
 [4, 1, 3, 3]]

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


[User]
Calculate the rank of matrix A where A =
[[6, -5, -8, -2],
 [13, 2, 1, -19],
 [-2, -9, -2, 14],
 [4, -3, -26, -4]]

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


[User]
What is the rank of the matrix:
[[4, -2, 0, -10],
 [0, -8, -10, 4],
 [-5, 10, 6, 11],
 [14, 20, 9, -32]]?

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-6, 13, 5, 14],
 [8, -20, -12, -24],
 [-6, 5, -11, -2],
 [2, 5, 17, 14]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[2, -3, -4, 2],
 [3, 1, -5, 5],
 [17, 4, -5, 15],
 [5, -16, 5, -7]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[16, -6, -4, 4],
 [15, -14, -1, -3],
 [-7, 10, 0, 8],
 [17, -11, -3, -1]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[2, 4, 1, -4],
 [10, 10, 6, -2],
 [-7, 1, -5, -13],
 [-11, -7, -7, -5]]

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


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

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


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

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[4, -6, -8, -4],
 [-6, 7, -11, 0],
 [6, -16, -20, -2],
 [3, -4, 7, 1]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[16, -12, 0, -4],
 [9, 0, -2, -3],
 [10, -9, 6, 5],
 [-4, -21, -4, -11]]

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


[User]
Determine the rank of the following matrix:
[[4, 3, 2, 4],
 [8, -1, -3, 8],
 [-28, -4, 3, -28],
 [0, 0, 0, 0]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-16, -8, 10, 18],
 [-25, 19, 6, 8],
 [-1, 10, 4, 3],
 [-23, 12, 5, 8]]

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


[User]
Calculate the rank of matrix A where A =
[[2, -7, -1, -5],
 [6, -9, 6, 6],
 [-4, 0, 1, -3],
 [0, 22, -12, 4]]

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


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

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


[User]
Find the rank of the matrix:
[[-7, 9, 4, -9],
 [-13, 6, 1, 0],
 [-4, -7, -5, -3],
 [5, -5, -2, 3]]

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


[User]
What is the rank of the matrix:
[[-9, 6, 6, -18],
 [-5, 6, 0, -5],
 [8, 10, 0, -13],
 [9, -20, 8, 0]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[9, 7, 0, -22],
 [13, -1, -25, -4],
 [5, -1, -11, 0],
 [5, 3, -2, -10]]

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


[User]
What is the rank of the matrix:
[[15, -5, 11, -16],
 [-11, 3, -5, 5],
 [0, 20, 12, -2],
 [-1, -12, -9, 4]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-6, -3, 9, -2],
 [-4, -10, 14, 4],
 [2, -10, 8, 8],
 [8, 5, -13, 2]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-5, 2, 1, -2],
 [-2, -5, 16, 6],
 [-9, -11, 15, 16],
 [-15, 0, 9, 2]]

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


[User]
Find the rank of the matrix:
[[2, 2, 8, -14],
 [2, 17, 3, 6],
 [2, 2, 8, -14],
 [4, 28, 8, 4]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[10, 12, -12, 4],
 [-25, -24, 6, -8],
 [13, 12, 2, 5],
 [12, 21, 4, 21]]?

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


[User]
What is the rank of the matrix:
[[7, 5, 10, 2],
 [-28, 6, 4, -4],
 [-18, -6, -4, 8],
 [23, -3, 2, 6]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[5, -25, 7, 4],
 [6, -2, 14, 16],
 [8, 2, 12, 20],
 [3, -21, 3, 0]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[9, -4, -13, 4],
 [3, 2, 5, -11],
 [-1, -9, -16, 6],
 [-9, 9, 24, -13]]

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


[User]
Determine the rank of the following matrix:
[[16, -9, -5, 11],
 [-26, 18, 4, -28],
 [14, -6, 4, 16],
 [-12, 5, -3, -13]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[13, -6, 1, -15],
 [-2, -1, 1, 5],
 [-8, 6, -2, 6],
 [8, -1, -1, -13]]

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


[User]
What is the rank of the matrix:
[[2, 9, 2, 1],
 [-1, 9, 7, 10],
 [-9, -1, 7, 4],
 [-11, 10, 15, 13]]?

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


[User]
Determine the rank of the following matrix:
[[0, -3, -2, -3],
 [-4, -7, 18, 9],
 [2, -1, -12, -9],
 [2, 20, 2, 12]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-8, 20, 0, 17],
 [10, 12, -16, 16],
 [-8, -12, 4, -12],
 [1, -4, 14, -8]]

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


[User]
Calculate the rank of matrix A where A =
[[5, 4, -15, -13],
 [-4, 16, -4, 4],
 [6, -12, -4, -10],
 [2, -2, -3, -4]]

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


[User]
Find the rank of the matrix:
[[5, -7, -4, -1],
 [-14, 16, 7, 1],
 [3, 3, 6, 3],
 [0, -6, -7, -3]]

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


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

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


[User]
What is the rank of the matrix:
[[-14, 37, 16, -17],
 [4, 5, -6, 5],
 [6, 7, -16, 13],
 [-11, -15, -1, 0]]?

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[10, 9, 8, 6],
 [4, 2, -3, 7],
 [1, -4, -9, 9],
 [3, -2, 17, -5]]

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


[User]
Calculate the rank of matrix A where A =
[[2, -6, -4, -9],
 [7, 22, 8, 18],
 [0, -8, -17, -12],
 [-2, -12, 12, -8]]

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[4, -8, 0, 15],
 [16, -16, -15, 16],
 [-24, 21, 24, -21],
 [12, -5, -16, 0]]?

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


[User]
Find the rank of the matrix:
[[-2, 11, 5, -29],
 [-10, -4, -10, 5],
 [7, 6, 8, -4],
 [7, 6, 8, -4]]

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


[User]
What is the rank of the matrix:
[[10, 12, 6, -5],
 [-5, -18, -3, -5],
 [15, 26, 16, 5],
 [22, 16, 23, -7]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[12, -10, 8, 10],
 [2, 3, -1, 2],
 [4, -2, -6, 8],
 [26, 3, -10, 32]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-28, 1, 20, -3],
 [26, 4, -12, 11],
 [-27, -10, 12, -12],
 [32, 9, -32, -8]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-1, 3, -6, -12],
 [-9, 2, 10, -4],
 [-5, -4, 10, 14],
 [-20, -4, 16, 10]]

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


[User]
Calculate the rank of matrix A where A =
[[6, -1, 7, 12],
 [13, -15, 17, 15],
 [-1, -1, -1, -3],
 [-16, 12, -20, -24]]

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


[User]
Calculate the rank of matrix A where A =
[[-17, 13, 3, -20],
 [-4, 2, 6, 8],
 [17, -13, -3, 20],
 [-12, 8, 8, 0]]

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


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

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


[User]
What is the rank of the matrix:
[[5, -5, 2, 9],
 [-7, 16, -19, 27],
 [-10, -8, 8, 6],
 [14, -8, 5, 0]]?

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


[User]
Find the rank of the matrix:
[[-6, -2, -3, 4],
 [-12, -4, 4, 12],
 [11, -3, -7, -3],
 [10, 0, -5, -6]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-15, -6, 0, 0],
 [-18, -8, 21, 9],
 [-11, -15, -3, -12],
 [-14, -16, 3, -9]]

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


[User]
What is the rank of the matrix:
[[6, 17, -4, -15],
 [-12, -4, -4, -2],
 [-20, -1, -2, -2],
 [-11, 12, -16, -25]]?

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[0, 10, 7, -16],
 [17, -1, 1, 5],
 [-4, -8, -6, 12],
 [-22, 6, 2, -14]]

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-5, 0, -13, -1],
 [6, 2, 5, 4],
 [-2, 3, -12, 9],
 [3, 4, 9, 19]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[0, -15, -15, -21],
 [0, 4, 2, 3],
 [0, 12, 16, 22],
 [0, -11, -13, -18]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[0, 12, -4, -4],
 [18, -19, 1, 11],
 [-18, 0, -2, 4],
 [10, -17, -3, 15]]

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


[User]
Calculate the rank of matrix A where A =
[[-24, -21, -6, 0],
 [-4, -27, -9, 18],
 [-40, -6, -4, -10],
 [4, -6, -5, 16]]

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


[User]
Determine the rank of the following matrix:
[[3, 0, -9, 0],
 [-4, 17, 4, -25],
 [22, -4, -6, 12],
 [16, -12, -20, 20]]

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


[User]
What is the rank of the matrix:
[[3, 9, -6, -11],
 [1, 7, -2, -5],
 [-3, -12, 6, 12],
 [-1, -13, 2, 7]]?

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


[User]
Determine the rank of the following matrix:
[[-5, 11, -18, -6],
 [-3, -9, 30, 0],
 [-17, 29, -10, -15],
 [7, 8, -36, 3]]

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-14, -5, 10, -8],
 [-8, -12, 8, 0],
 [-22, -5, 15, -14],
 [4, 10, -5, -2]]

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


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

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


[User]
What is the rank of the matrix:
[[0, 2, 22, -16],
 [-2, 11, -7, 8],
 [-5, -9, -9, 22],
 [0, 23, 7, -10]]?

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-4, -16, -6, 20],
 [6, 4, 4, -6],
 [-22, 12, -8, -10],
 [-12, -8, -8, 12]]?

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-4, 14, -4, -9],
 [8, -26, 8, 15],
 [20, -6, -12, 13],
 [16, -6, -12, 17]]

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


[User]
Calculate the rank of matrix A where A =
[[2, 6, 8, 16],
 [2, 8, -5, -3],
 [4, 10, 5, 19],
 [1, 5, 9, 13]]

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


[User]
Find the rank of the matrix:
[[2, -2, -8, -18],
 [-7, 8, -3, 3],
 [9, 3, 6, 9],
 [0, -14, -3, -15]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-1, 9, -13, 5],
 [0, -8, 12, -8],
 [3, -5, 6, 7],
 [3, -3, 3, 9]]

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


[User]
What is the rank of the matrix:
[[22, -8, -12, 11],
 [-22, 8, 12, -11],
 [6, 6, 4, 3],
 [-4, -19, -16, -2]]?

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[12, 10, 2, 17],
 [12, 9, 3, 21],
 [8, 6, 2, 14],
 [-12, -8, -4, -25]]

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


[User]
Find the rank of the matrix:
[[-12, -2, 4, -6],
 [12, 0, 4, -2],
 [9, -18, 24, -14],
 [-9, 0, 12, -16]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-4, -4, 0, 20],
 [-9, 7, 16, -3],
 [1, -3, -4, 7],
 [1, 5, 4, -17]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[0, 0, 0, 0],
 [-3, 4, 17, 15],
 [-1, 0, 9, 9],
 [1, -2, -4, -3]]

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


[User]
Calculate the rank of matrix A where A =
[[-2, 4, -1, 0],
 [2, -2, 0, 1],
 [-12, -16, 14, -20],
 [8, 14, -11, 15]]

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


[User]
What is the rank of the matrix:
[[-8, 4, 16, -2],
 [-7, -10, -17, -7],
 [-12, 4, 8, -10],
 [-6, 6, 14, -3]]?

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


[User]
Find the rank of the matrix:
[[0, -3, -3, 8],
 [-26, 4, 28, 2],
 [2, 14, 2, 4],
 [5, -16, -10, -4]]

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


[User]
Determine the rank of the following matrix:
[[4, -4, 6, -1],
 [-22, 6, -2, -13],
 [-28, 2, 5, -18],
 [3, -1, 1, 1]]

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


[User]
What is the rank of the matrix:
[[-2, -6, -5, 1],
 [8, -18, -22, 10],
 [0, -12, -12, 4],
 [-2, -9, -8, 2]]?

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-1, -2, -4, 4],
 [-12, 32, 20, -48],
 [17, -7, 9, 4],
 [14, -19, 2, 24]]?

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


[User]
Calculate the rank of matrix A where A =
[[-8, 4, 10, -6],
 [6, -2, -7, 11],
 [10, -4, -12, 14],
 [10, -8, -14, -12]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-8, -22, -9, -5],
 [15, 8, -12, 1],
 [-10, -3, 1, -1],
 [8, 2, -8, 0]]

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


[User]
Find the rank of the matrix:
[[-9, 6, -11, 12],
 [-15, 6, -13, 12],
 [11, -10, 17, -20],
 [-6, 6, -10, 12]]

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


[User]
Determine the rank of the following matrix:
[[-28, -4, 8, -4],
 [25, 7, -7, 5],
 [1, 7, 0, 3],
 [-4, -28, 0, -12]]

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[3, 18, 3, -21],
 [2, 4, -4, -8],
 [-4, -8, 8, 16],
 [-3, 10, 18, 0]]?

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


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

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


[User]
What is the rank of the matrix:
[[7, -9, 2, 5],
 [-8, 6, 5, -4],
 [-10, 0, 19, -2],
 [-7, -1, 15, -1]]?

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-4, -12, 11, -10],
 [-6, 23, -28, 23],
 [2, 18, -19, 12],
 [-5, 11, -15, 7]]

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


[User]
Determine the rank of the following matrix:
[[8, 4, 14, 8],
 [0, 12, 18, 16],
 [1, -10, -14, -13],
 [-2, -4, -8, -6]]

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


[User]
Determine the rank of the following matrix:
[[9, 2, 12, 19],
 [-6, -4, -14, 2],
 [6, -7, 8, 21],
 [0, -11, -1, 13]]

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


[User]
Determine the rank of the following matrix:
[[9, 4, -1, 7],
 [-16, -12, 4, -12],
 [-11, 0, -1, -9],
 [12, 20, -8, 8]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-18, 9, 6, -21],
 [-1, -4, 9, -1],
 [18, 0, -10, 26],
 [-9, 9, 11, -4]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[4, -20, -24, 20],
 [0, 0, 0, 0],
 [1, -3, -3, 1],
 [-1, -5, -9, 15]]

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


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

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


[User]
What is the rank of the matrix:
[[-8, 24, 4, -24],
 [-4, 16, 2, -15],
 [0, -8, 0, 6],
 [-6, 22, 3, -21]]?

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-2, 8, 14, -16],
 [4, -16, 0, 18],
 [-1, 4, 7, -8],
 [3, -12, 15, 6]]

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


[User]
Find the rank of the matrix:
[[-6, -1, -12, 11],
 [8, -2, -12, 6],
 [-14, 11, 14, -7],
 [-12, 8, 25, -15]]

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


[User]
Find the rank of the matrix:
[[-4, 8, 0, -1],
 [4, 4, -14, 20],
 [0, 4, -14, 18],
 [-4, -12, -6, 4]]

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


[User]
What is the rank of the matrix:
[[-14, -4, 13, -13],
 [-20, -5, 18, -18],
 [8, -2, -4, 4],
 [-10, 0, 7, -7]]?

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


[User]
What is the rank of the matrix:
[[17, 19, 12, 2],
 [9, 3, 12, 6],
 [7, 9, 4, 0],
 [-12, -4, -16, -8]]?

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


[User]
What is the rank of the matrix:
[[7, -1, -13, 2],
 [29, -23, -25, -15],
 [-12, 16, 6, 17],
 [10, -10, -16, -13]]?

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


[User]
Calculate the rank of matrix A where A =
[[14, 28, 5, -10],
 [-19, -12, -19, 11],
 [-12, -12, -3, 0],
 [13, 28, -8, 3]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[0, 0, -1, -6],
 [-5, -5, -8, -8],
 [5, 5, 8, 8],
 [-6, -6, -11, -18]]

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


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

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


[User]
What is the rank of the matrix:
[[30, 20, 2, -1],
 [-28, -17, -2, 2],
 [10, 5, 12, 9],
 [8, -2, 0, -6]]?

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


[User]
Calculate the rank of matrix A where A =
[[10, -13, -9, -15],
 [-1, 2, 3, -2],
 [6, -8, -6, -8],
 [18, -25, -21, -19]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[4, -4, 8, -13],
 [12, 20, 8, 25],
 [12, 18, 9, 21],
 [-8, -12, -6, -14]]

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


[User]
Determine the rank of the following matrix:
[[1, -15, 9, -13],
 [3, -3, -1, 17],
 [-3, 9, -3, -9],
 [3, -21, 11, -7]]

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


[User]
Determine the rank of the following matrix:
[[10, -11, -2, -10],
 [-6, 5, -1, -11],
 [-14, 13, 0, -4],
 [-10, 7, -2, -10]]

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


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

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


[User]
Find the rank of the matrix:
[[-2, 11, 2, 1],
 [-6, -7, -14, 13],
 [6, -25, -2, -5],
 [8, -24, 2, -9]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[3, 1, -2, 4],
 [3, -3, -5, -25],
 [11, 15, -7, 21],
 [-4, 4, 2, -10]]

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


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

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


[User]
What is the rank of the matrix:
[[-8, -6, -4, -4],
 [-8, -6, -4, -4],
 [-12, -7, -6, -4],
 [16, -24, 8, -28]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[-12, 4, 26, 6],
 [-18, -8, 8, -9],
 [4, 6, -22, 10],
 [-20, 2, 10, 6]]

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


[User]
Determine the rank of the following matrix:
[[-2, -1, 4, 4],
 [5, 8, -15, -18],
 [-8, -4, 16, 16],
 [-5, 14, -5, -14]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-1, -4, 2, 8],
 [14, 6, 2, -12],
 [8, 7, -1, -14],
 [18, 7, 3, -14]]

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


[User]
Find the rank of the matrix:
[[0, -10, 0, -10],
 [-15, 10, -15, -5],
 [8, -4, 8, 4],
 [-20, 0, -20, -20]]

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


[User]
Calculate the rank of matrix A where A =
[[-6, 22, 2, -1],
 [12, 6, 26, -8],
 [-26, 7, 17, -25],
 [10, 10, -2, 9]]

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


[User]
Find the rank of the matrix:
[[13, -3, 12, 9],
 [-13, -3, 5, 4],
 [7, -17, 14, 7],
 [6, 4, 14, 13]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-4, 0, -4, 2],
 [12, 28, 5, -6],
 [4, 0, 4, -2],
 [8, 0, 8, -4]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[2, 12, -2, -2],
 [11, 0, -2, -5],
 [-15, -2, 3, 7],
 [-24, 10, 3, 10]]?

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


[User]
Find the rank of the matrix:
[[21, -13, 2, -4],
 [6, -5, 13, 4],
 [-3, 19, 2, 16],
 [-6, 8, -18, -4]]

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


[User]
Calculate the rank of matrix A where A =
[[-10, -6, -9, 6],
 [3, 1, 9, 12],
 [0, 2, 0, -3],
 [9, 5, 3, -15]]

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


[User]
What is the rank of the matrix:
[[9, 25, 5, -2],
 [6, -5, 0, -8],
 [3, 17, 2, 2],
 [9, -1, 1, -10]]?

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


[User]
Find the rank of the matrix:
[[12, 16, 14, 18],
 [0, 2, -1, 1],
 [12, 18, 13, 19],
 [9, 15, 9, 15]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[0, 0, 0, -4],
 [-17, 1, -6, 1],
 [-14, 2, -4, -6],
 [2, -1, 0, 4]]

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


[User]
What is the rank of the matrix:
[[-8, 15, 9, -4],
 [1, 3, -6, 7],
 [-11, 21, 12, -5],
 [7, -12, -9, 5]]?

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


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

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


[User]
Find the rank of the matrix:
[[10, 16, -17, -7],
 [13, 12, -10, -8],
 [-12, -8, 5, 7],
 [2, 8, -10, -2]]

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


[User]
Calculate the rank of matrix A where A =
[[5, 8, 14, 5],
 [5, 18, 18, 4],
 [15, 0, 18, 3],
 [3, 14, 14, 4]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[13, 19, 14, -12],
 [-12, -4, -24, 0],
 [-6, -13, -3, 9],
 [-14, -3, -9, 19]]

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


[User]
What is the rank of the matrix:
[[16, 8, -1, -18],
 [17, -4, -8, -5],
 [4, -13, 6, 13],
 [-9, -1, -2, 6]]?

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


[User]
Calculate the rank of matrix A where A =
[[4, -6, 16, 16],
 [1, -11, 7, -12],
 [10, 4, -18, -18],
 [-9, 14, -17, -2]]

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


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

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


[User]
Find the rank of the matrix:
[[-1, 11, 12, -6],
 [-14, 14, 8, 16],
 [13, -10, 0, -17],
 [2, -1, 4, -3]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[8, 8, 9, -14],
 [-12, -12, -7, -5],
 [-12, -12, -7, -5],
 [12, 12, 11, -11]]

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


[User]
Find the rank of the matrix:
[[2, -8, 2, -18],
 [-9, -18, -3, -9],
 [-3, 30, 3, 21],
 [4, 29, 3, 21]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[22, 11, 6, 6],
 [-4, 14, 12, -4],
 [0, -9, -19, -6],
 [-14, 11, 8, -9]]

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


[User]
What is the rank of the matrix:
[[-2, -4, -7, -4],
 [2, 8, 9, 8],
 [-7, -15, -25, -15],
 [-3, -9, -12, -9]]?

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


[User]
Determine the rank of the following matrix:
[[-3, -11, -19, 15],
 [12, -24, 0, 16],
 [8, -22, -8, 18],
 [-13, 7, -7, -3]]

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


[User]
What is the rank of the matrix:
[[-12, 12, -20, -18],
 [-3, 11, -10, -11],
 [-10, 2, -5, 4],
 [3, 29, -3, 1]]?

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


[User]
Calculate the rank of matrix A where A =
[[4, -1, 2, 0],
 [4, -1, 2, 0],
 [-16, -11, 22, 0],
 [-12, -7, 14, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[-15, 6, 4, 9],
 [-12, -8, 0, -12],
 [3, 2, 0, 3],
 [-9, -6, 0, -9]]

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


[User]
Calculate the rank of matrix A where A =
[[8, -15, -2, -1],
 [9, -2, -4, 5],
 [2, -8, 0, -2],
 [12, 3, -6, 9]]

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


[User]
Calculate the rank of matrix A where A =
[[-15, -7, -9, 20],
 [0, -6, -12, 0],
 [0, 12, 24, 0],
 [-6, -1, 0, 8]]

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


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

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


[User]
Find the rank of the matrix:
[[-14, -7, -4, -8],
 [8, -5, 1, -7],
 [-16, -4, -5, -3],
 [0, -7, -3, -7]]

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


[User]
Find the rank of the matrix:
[[-12, 12, -4, -6],
 [-12, 0, 8, 0],
 [-6, 4, 0, -2],
 [9, -22, 16, 11]]

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


[User]
Calculate the rank of matrix A where A =
[[0, 6, 12, -12],
 [0, 11, 3, -14],
 [4, 21, -3, -22],
 [12, -2, -6, 8]]

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


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

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


[User]
Find the rank of the matrix:
[[-13, -7, -11, 0],
 [24, 14, 30, 28],
 [-5, -6, -6, -14],
 [-8, -3, -16, -20]]

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


[User]
Determine the rank of the following matrix:
[[18, 6, -2, -8],
 [4, 4, 16, -17],
 [-4, -8, -10, 13],
 [0, 0, -16, 14]]

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


[User]
What is the rank of the matrix:
[[31, 5, 28, -4],
 [18, 7, 16, -7],
 [15, 2, 4, -7],
 [-4, 12, -8, -16]]?

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


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

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