[User]
Determine the rank of the following matrix:
[[-1, 10, 12, 2],
 [-5, -6, 12, -14],
 [-1, 18, -12, 18],
 [15, -8, -12, 12]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[8, 4, -10, -10],
 [-44, -5, 38, 17],
 [24, 6, -24, -2],
 [-16, 4, 8, 4]]

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


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

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[18, 5, -14, 16],
 [0, -2, -6, -6],
 [-20, 0, 36, 4],
 [-4, -3, -12, -22]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-3, 2, -13, 3],
 [-6, 0, -9, 3],
 [9, 6, -12, 0],
 [-10, -8, 19, -1]]

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


[User]
What is the rank of the matrix:
[[4, 0, 12, 16],
 [1, -2, -2, -4],
 [-2, 4, 4, 8],
 [6, 0, 18, 24]]?

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


[User]
Find the rank of the matrix:
[[0, -18, 14, -2],
 [-5, 10, -33, -6],
 [1, 20, 23, -16],
 [4, 1, 2, 16]]

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


[User]
What is the rank of the matrix:
[[-1, 8, 3, 10],
 [20, 2, 12, 13],
 [2, 14, 9, 15],
 [6, 10, 9, 13]]?

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-3, 10, 5, -30],
 [-12, 16, 4, -28],
 [9, 4, 7, -28],
 [3, -20, -7, -18]]?

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


[User]
Find the rank of the matrix:
[[-6, 1, 0, 6],
 [-1, -12, -8, 4],
 [3, 13, 6, -4],
 [-6, -2, -6, 10]]

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


[User]
Find the rank of the matrix:
[[-9, -12, 12, 6],
 [-12, -16, 11, 8],
 [-12, -16, 20, 8],
 [9, 12, 0, -6]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-3, -3, -1, 7],
 [7, 20, 16, -7],
 [-12, -5, 1, 24],
 [-1, 2, 4, 9]]

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


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

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


[User]
Determine the rank of the following matrix:
[[4, -16, 12, 10],
 [0, 14, -8, -11],
 [-2, 8, -6, -5],
 [-17, 5, -15, 7]]

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


[User]
Determine the rank of the following matrix:
[[-9, -9, -9, 4],
 [-10, -5, -4, 1],
 [-6, -2, 9, -5],
 [7, 17, 19, -10]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-6, -9, 3, 12],
 [0, -11, 3, 6],
 [-10, -4, 2, 14],
 [-2, -3, 1, 4]]

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


[User]
Calculate the rank of matrix A where A =
[[5, -4, 2, 9],
 [7, -4, 10, 11],
 [0, 0, 0, 0],
 [3, -6, -15, 9]]

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


[User]
Find the rank of the matrix:
[[0, 12, -12, -12],
 [6, 6, -12, -6],
 [10, -14, 4, 14],
 [10, -2, -8, 2]]

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


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

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-5, 15, 2, -10],
 [-1, -11, -8, 12],
 [-4, 1, -5, 3],
 [6, -9, 3, 3]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[14, -6, -8, 2],
 [-6, -6, 12, -2],
 [-2, 16, -14, 6],
 [4, 1, -5, 10]]

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


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

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


[User]
Find the rank of the matrix:
[[7, -13, 8, 4],
 [-1, 10, 1, -1],
 [10, -12, 8, -2],
 [-8, -9, -4, 13]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[8, 16, -16, 8],
 [8, 4, -8, -4],
 [-8, -1, 6, 7],
 [-8, 2, 4, 10]]

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


[User]
What is the rank of the matrix:
[[-14, -18, 14, 2],
 [-16, -16, 16, -8],
 [6, 10, -6, -6],
 [-4, -12, 4, 16]]?

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


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

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


[User]
Find the rank of the matrix:
[[7, -2, -7, 3],
 [-5, -1, 3, -1],
 [5, -16, -17, 9],
 [-15, -3, 9, -3]]

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


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

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-5, 8, 10, -5],
 [7, -5, 9, -7],
 [3, -2, 5, -7],
 [-5, 4, -6, 11]]?

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


[User]
Find the rank of the matrix:
[[15, 1, 5, 6],
 [1, -8, 3, 8],
 [-11, -11, 2, 3],
 [-10, 3, -1, -11]]

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


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

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-16, 9, 15, -3],
 [2, 14, 10, -3],
 [-18, -4, 4, 27],
 [13, 0, -6, -6]]?

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


[User]
Calculate the rank of matrix A where A =
[[-12, 4, -4, -16],
 [-9, 3, -3, -12],
 [-4, -8, 16, 0],
 [1, 2, -4, 0]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[11, 8, -2, -3],
 [5, 2, -2, -3],
 [13, 7, -4, -6],
 [1, 4, 2, 3]]

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


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

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-14, -1, -14, -3],
 [3, 8, 7, 0],
 [-9, 3, -8, 3],
 [-7, 4, -4, -6]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[2, 10, 3, 15],
 [-12, 4, -6, -8],
 [0, -6, 6, -16],
 [-18, 18, -15, 13]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-18, 12, 0, 6],
 [-12, 3, 0, 6],
 [-30, 17, -12, 20],
 [18, -7, 0, -8]]

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


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

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


[User]
Find the rank of the matrix:
[[9, 25, -28, -4],
 [0, -3, 8, -2],
 [0, -24, 8, 13],
 [-10, -15, 24, -1]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-6, 16, -10, -6],
 [0, -12, 6, 6],
 [12, 10, -1, -9],
 [12, 4, 2, -6]]

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


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

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


[User]
Determine the rank of the following matrix:
[[4, 0, 3, -2],
 [16, -12, 12, -14],
 [16, -10, 12, -13],
 [20, -18, 15, -19]]

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


[User]
Determine the rank of the following matrix:
[[3, -4, -1, -4],
 [-14, 13, 2, 18],
 [4, -28, -12, -8],
 [-1, 7, 3, 2]]

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


[User]
Determine the rank of the following matrix:
[[14, 8, 1, -15],
 [14, -2, -16, -6],
 [-11, -12, -9, 15],
 [-16, -4, 8, 12]]

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


[User]
Find the rank of the matrix:
[[-2, -2, -4, -6],
 [-2, 1, 3, 1],
 [3, -3, -8, -5],
 [9, -3, -10, -1]]

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


[User]
What is the rank of the matrix:
[[4, 18, 5, -3],
 [1, -25, -2, -10],
 [-7, -1, 18, 0],
 [-5, 27, 17, 8]]?

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


[User]
What is the rank of the matrix:
[[0, 10, -10, 4],
 [6, 11, -11, -4],
 [12, 2, -2, -16],
 [8, -12, 12, -16]]?

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


[User]
Determine the rank of the following matrix:
[[-4, 20, 7, 6],
 [0, 4, -1, -2],
 [1, -8, -1, 0],
 [-3, 28, 2, -2]]

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


[User]
Determine the rank of the following matrix:
[[5, -5, -15, -9],
 [16, -9, -13, -12],
 [-2, 4, -6, 4],
 [22, -7, -13, -8]]

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


[User]
What is the rank of the matrix:
[[-5, -10, -11, 15],
 [-4, 3, 17, -15],
 [-4, 0, -3, -2],
 [7, -1, -11, 12]]?

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-6, 8, 11, -1],
 [2, -18, 7, -3],
 [-6, 6, 10, 0],
 [-6, 14, 9, -1]]?

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


[User]
What is the rank of the matrix:
[[4, -6, -1, -3],
 [6, 2, 7, -11],
 [-3, 0, -2, 10],
 [0, 12, 10, -2]]?

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[0, -1, 13, -7],
 [-20, -12, -6, 11],
 [-24, -18, -18, 20],
 [4, 10, -13, 4]]

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


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

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-2, 10, -24, 9],
 [-8, 12, -17, 4],
 [-16, 14, 1, -7],
 [-10, 6, -4, -1]]

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


[User]
Calculate the rank of matrix A where A =
[[-20, 2, -24, 20],
 [4, 24, 5, -1],
 [-16, -1, -13, 17],
 [14, 12, 28, -10]]

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


[User]
Find the rank of the matrix:
[[9, 2, -11, -1],
 [-6, 8, -10, -6],
 [-18, 10, 4, -10],
 [-21, 7, 8, -7]]

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


[User]
Find the rank of the matrix:
[[9, 0, 0, 0],
 [1, 30, -16, 13],
 [8, -12, 10, -7],
 [-3, 0, -6, 3]]

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


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

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


[User]
Find the rank of the matrix:
[[5, -4, -5, 5],
 [5, 1, 12, 21],
 [-5, 2, -5, -5],
 [-7, 2, -7, -15]]

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


[User]
Determine the rank of the following matrix:
[[4, 6, -10, -7],
 [-6, -9, 1, -7],
 [6, 9, -5, 2],
 [-2, -3, 3, 1]]

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


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

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


[User]
Find the rank of the matrix:
[[21, 24, -1, -6],
 [18, 20, -6, -6],
 [6, 9, -2, 12],
 [0, -3, 0, -18]]

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


[User]
Calculate the rank of matrix A where A =
[[-2, -1, 2, 1],
 [-8, -4, 8, 4],
 [-20, 4, -8, 0],
 [6, 23, -27, -20]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-3, 13, -8, 15],
 [-14, 2, 0, 6],
 [-12, -3, 3, 0],
 [2, 6, -4, 6]]

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


[User]
Find the rank of the matrix:
[[0, 8, -6, 8],
 [7, 1, 1, -14],
 [6, -2, 11, -8],
 [-7, -5, 9, 16]]

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


[User]
Determine the rank of the following matrix:
[[-14, -20, -5, -15],
 [-12, 10, -15, -7],
 [5, 1, -1, 6],
 [1, 8, 7, -1]]

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


[User]
Calculate the rank of matrix A where A =
[[-28, 8, -2, 9],
 [8, -16, -12, 0],
 [36, 10, 2, -1],
 [-30, 4, -3, 8]]

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


[User]
Find the rank of the matrix:
[[-1, -12, -11, -20],
 [29, -4, -1, -8],
 [10, -5, -5, -10],
 [14, 9, 9, 14]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[11, 5, 10, -20],
 [6, 1, -3, 24],
 [8, 3, -1, -12],
 [21, 7, -8, -16]]

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


[User]
Find the rank of the matrix:
[[8, 2, 4, -12],
 [30, 5, 4, -10],
 [-4, 12, -24, 0],
 [15, -1, 10, -8]]

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


[User]
Determine the rank of the following matrix:
[[5, 13, 13, 24],
 [9, -3, 9, 12],
 [-3, -10, -9, -17],
 [-16, 20, -8, -4]]

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


[User]
What is the rank of the matrix:
[[-5, -18, -16, 10],
 [20, 8, -4, 0],
 [15, 6, -3, 0],
 [-12, 8, 16, -8]]?

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


[User]
Find the rank of the matrix:
[[-11, -20, -10, -17],
 [12, 0, 40, 4],
 [5, 14, 18, 7],
 [2, -2, 16, -2]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-2, -10, -29, 21],
 [-22, 22, 22, -4],
 [-2, 1, 4, -4],
 [4, 6, 26, -22]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-16, -12, -2, 16],
 [1, -3, -13, -1],
 [-22, -18, -20, 22],
 [10, 6, 9, -10]]

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


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

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


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

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-18, 1, -14, 5],
 [12, -5, 10, -1],
 [-14, -4, 4, -4],
 [-1, 8, -2, -4]]

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


[User]
What is the rank of the matrix:
[[-10, 12, 24, -16],
 [-18, 7, 16, -10],
 [-4, -21, 4, -8],
 [-6, 11, 16, -10]]?

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


[User]
Calculate the rank of matrix A where A =
[[-3, -18, 9, 7],
 [0, 0, 0, 0],
 [13, -7, 12, 15],
 [-8, -13, 3, 0]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-3, -6, 6, 6],
 [12, -16, 11, 2],
 [12, -25, 19, 8],
 [-12, 14, -7, 2]]

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


[User]
What is the rank of the matrix:
[[5, -1, -9, 8],
 [8, 14, 2, 8],
 [22, 12, -18, 4],
 [10, -2, -18, 16]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[1, -10, 7, -18],
 [-8, 10, -11, 6],
 [12, -6, 5, 6],
 [-8, -2, -4, -18]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-10, 3, -15, 4],
 [12, -5, 19, -5],
 [10, -10, 8, -6],
 [-9, 9, 0, 6]]

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


[User]
What is the rank of the matrix:
[[1, -20, -1, 5],
 [8, 24, -14, 22],
 [10, -4, -14, 28],
 [-8, -4, 21, -33]]?

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


[User]
Calculate the rank of matrix A where A =
[[-7, 12, -1, -4],
 [8, 3, 16, -1],
 [11, -6, 13, 2],
 [9, -9, 7, 3]]

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


[User]
What is the rank of the matrix:
[[16, -16, -4, 8],
 [-4, 2, 9, 0],
 [-8, 4, 18, 0],
 [-4, 6, -7, -4]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[7, -3, -9, -5],
 [-8, -4, -12, -11],
 [16, 0, 0, 4],
 [4, 4, 12, 10]]

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-18, 2, -8, -3],
 [9, 14, 5, 7],
 [1, -10, -5, -9],
 [-1, -22, 13, 9]]

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


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

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


[User]
What is the rank of the matrix:
[[-3, -5, -20, -18],
 [-9, -6, -24, -21],
 [11, 6, 24, 20],
 [-3, 1, 4, 7]]?

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


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

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


[User]
Find the rank of the matrix:
[[12, -12, -16, -18],
 [4, 28, 16, 10],
 [0, -12, -8, -6],
 [2, -4, -4, -4]]

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


[User]
Determine the rank of the following matrix:
[[2, 0, -4, 7],
 [12, -8, -24, 18],
 [6, -7, -12, 0],
 [-6, 6, 12, -3]]

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


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

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


[User]
Find the rank of the matrix:
[[0, 7, 13, 19],
 [-3, 11, 14, 23],
 [-20, 9, 21, 33],
 [37, 0, -15, -24]]

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


[User]
Find the rank of the matrix:
[[5, -3, 1, 1],
 [6, 9, 3, -15],
 [-1, 9, 1, -11],
 [-6, -2, -2, 6]]

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


[User]
What is the rank of the matrix:
[[-10, 0, 1, 14],
 [8, -8, -2, 4],
 [10, -8, -7, -2],
 [-16, 18, 4, -12]]?

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


[User]
What is the rank of the matrix:
[[-2, 10, 0, -4],
 [-4, -8, 8, 9],
 [-8, 4, 8, 8],
 [-13, -8, 18, 21]]?

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


[User]
Determine the rank of the following matrix:
[[3, -5, -1, -18],
 [-1, 6, 6, -3],
 [14, 9, 12, -6],
 [-3, -10, -11, 6]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[4, 16, 0, -16],
 [17, -18, -6, -10],
 [-3, 10, -3, 15],
 [8, 8, -9, 13]]

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


[User]
Calculate the rank of matrix A where A =
[[-22, 25, 9, -8],
 [-20, 16, 20, -16],
 [15, -15, -11, 9],
 [6, 7, 19, -12]]

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-13, -14, -6, -8],
 [12, 16, 4, 2],
 [16, 20, 6, 5],
 [-16, -20, -6, -5]]?

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


[User]
Find the rank of the matrix:
[[-16, 16, -5, -10],
 [-6, -6, 13, -6],
 [-8, 0, -24, 0],
 [16, 5, -2, 10]]

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


[User]
What is the rank of the matrix:
[[-2, -6, -16, 4],
 [-16, 9, 22, 0],
 [-14, -6, 20, 12],
 [-13, -3, 28, 10]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[-18, -3, 6, -10],
 [3, 3, -3, -3],
 [-14, -2, 5, -6],
 [-8, -20, 11, 4]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[0, -7, -17, 17],
 [-9, 4, -1, 1],
 [-8, 9, -1, 1],
 [-14, 5, -15, 15]]

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


[User]
What is the rank of the matrix:
[[3, -6, 0, -18],
 [4, -10, 4, -16],
 [-5, 6, 0, 12],
 [4, 2, -4, 4]]?

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],
 [12, 12, 0, -9],
 [12, 12, 0, -9]]?

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


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

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


[User]
What is the rank of the matrix:
[[12, -24, -13, -28],
 [0, 12, 4, 16],
 [-16, 4, 8, 0],
 [-16, 25, 15, 28]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[20, 8, 22, 5],
 [12, 0, 0, 18],
 [-24, -8, -32, 4],
 [14, 6, 14, 6]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[1, -22, 12, -3],
 [10, -20, 3, -7],
 [-14, -6, 12, -6],
 [2, 22, -12, 10]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[8, 2, -5, -6],
 [-12, 15, -6, 0],
 [-16, 12, -2, 4],
 [-12, 19, -9, -2]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-18, -20, -8, -10],
 [6, 4, -2, 8],
 [-2, -4, -4, 2],
 [9, 14, 11, -2]]

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


[User]
Calculate the rank of matrix A where A =
[[3, 4, 10, -5],
 [7, -4, -6, -1],
 [1, 3, 7, -3],
 [-8, -4, -12, 8]]

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


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

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


[User]
Find the rank of the matrix:
[[12, 10, -7, -11],
 [-10, 11, -1, 7],
 [-4, -13, 19, 4],
 [26, -5, -3, -21]]

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


[User]
What is the rank of the matrix:
[[-12, 7, 1, -6],
 [15, -9, -2, 3],
 [-15, 7, 8, 5],
 [27, -6, -21, 13]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[2, -8, -2, -2],
 [1, 16, -1, 1],
 [-6, -9, 12, -3],
 [-1, -40, 9, -11]]

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


[User]
Calculate the rank of matrix A where A =
[[0, 16, -4, 0],
 [14, 10, -1, -12],
 [7, 2, -23, -2],
 [-15, -5, -7, 14]]

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


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

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


[User]
What is the rank of the matrix:
[[4, 10, -7, 5],
 [8, -10, 14, 2],
 [1, -14, 13, -9],
 [7, -8, 13, 15]]?

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


[User]
Determine the rank of the following matrix:
[[0, 6, -10, 0],
 [-3, -1, 2, -6],
 [4, 16, 4, 28],
 [-3, -21, 12, -21]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-6, 8, -2, 0],
 [-8, 24, -8, -8],
 [4, -22, 8, 10],
 [-12, 6, 0, 6]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[6, -5, 12, 4],
 [-12, 16, 12, 16],
 [6, -3, 24, 12],
 [-20, 22, -8, 8]]

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


[User]
Calculate the rank of matrix A where A =
[[-12, -18, 2, -7],
 [0, -12, 8, -10],
 [-10, -2, -7, 5],
 [10, -4, 11, -10]]

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


[User]
Find the rank of the matrix:
[[-4, 9, 15, 20],
 [-16, -2, -16, 4],
 [-4, -1, -5, 0],
 [16, -10, -8, -28]]

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


[User]
Calculate the rank of matrix A where A =
[[21, 34, 7, 10],
 [23, 14, -5, 13],
 [10, 12, 0, 5],
 [16, 8, -6, 9]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[8, 14, -7, 12],
 [9, 0, 0, 3],
 [-1, -4, 2, -3],
 [16, 10, -5, 12]]

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[12, 16, 0, -12],
 [17, 12, 4, -25],
 [5, 12, -2, -1],
 [-11, -12, -1, 13]]

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


[User]
Find the rank of the matrix:
[[-16, 32, -8, 8],
 [4, -16, 12, 4],
 [-4, 0, 8, 8],
 [-5, -4, 15, 13]]

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


[User]
What is the rank of the matrix:
[[4, -1, 20, 6],
 [21, 1, 2, 19],
 [15, 4, -8, 7],
 [12, 2, 1, 8]]?

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


[User]
Calculate the rank of matrix A where A =
[[16, 0, 4, 16],
 [-20, -9, -11, -17],
 [-16, -3, -6, -15],
 [16, 6, 8, 14]]

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[11, 2, 0, 1],
 [7, 3, -7, -5],
 [29, 10, -12, -9],
 [-5, -6, -8, 1]]

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


[User]
Calculate the rank of matrix A where A =
[[11, -23, -9, -1],
 [-1, 10, 11, 8],
 [17, -21, -3, 13],
 [-1, -3, 3, -5]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[6, -8, 2, 8],
 [0, -12, 0, 0],
 [-9, 28, -3, -12],
 [9, -28, 3, 12]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[8, 6, -4, -8],
 [11, 9, -10, -16],
 [-1, 0, -4, -4],
 [-8, -6, 4, 8]]

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


[User]
Calculate the rank of matrix A where A =
[[-13, 4, -5, 11],
 [7, -4, 3, -7],
 [14, -8, 6, -14],
 [-12, 0, -4, 8]]

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


[User]
What is the rank of the matrix:
[[2, 2, 4, -10],
 [-3, 7, 0, 1],
 [-7, 8, -5, 14],
 [-7, 13, -2, 7]]?

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-2, -6, -10, 8],
 [-2, 10, 0, -5],
 [-22, -13, 6, -16],
 [-10, -13, 18, -16]]

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


[User]
Determine the rank of the following matrix:
[[18, -18, 12, -4],
 [-20, -4, -28, 16],
 [20, 4, 4, -20],
 [-21, 27, -21, 0]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[12, 0, 18, 0],
 [12, -16, 10, 0],
 [12, 4, 20, 0],
 [12, -20, 8, 0]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[0, 4, 2, 3],
 [16, -6, -21, -22],
 [-28, -10, 18, 21],
 [8, 20, 0, 6]]?

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


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

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


[User]
Find the rank of the matrix:
[[-4, 8, -4, 16],
 [-4, -1, 3, 0],
 [19, -2, -9, -12],
 [-14, 1, 7, 8]]

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


[User]
Determine the rank of the following matrix:
[[-8, 13, -15, 15],
 [-8, -17, 11, -11],
 [-6, -9, 5, -5],
 [-10, -10, 4, -4]]

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


[User]
What is the rank of the matrix:
[[-5, -2, 5, 1],
 [-3, 3, -11, 9],
 [10, -2, 10, -14],
 [8, -4, 16, -16]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[4, -4, -4, 8],
 [7, 3, 5, 0],
 [-14, -6, -10, 0],
 [-12, -8, -12, 4]]

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


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

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-18, 6, 3, -9],
 [9, -6, -3, 9],
 [12, 0, 0, 0],
 [10, -8, -4, 12]]

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


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

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


[User]
Determine the rank of the following matrix:
[[4, -6, -4, 12],
 [8, -5, 20, -4],
 [-12, 15, 0, -24],
 [12, -9, 24, 0]]

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


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

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


[User]
What is the rank of the matrix:
[[16, -2, -1, -2],
 [4, -14, 11, -14],
 [8, -16, 12, -16],
 [-20, -2, 5, -2]]?

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


[User]
Calculate the rank of matrix A where A =
[[6, 3, -6, -4],
 [12, -2, 20, 8],
 [-6, -4, 10, 6],
 [9, -1, 13, 5]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[4, 18, -5, 7],
 [4, 11, -2, 4],
 [-4, 24, -13, 11],
 [4, -10, 7, -5]]

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


[User]
Determine the rank of the following matrix:
[[8, 0, 10, -12],
 [-18, -14, 2, 20],
 [28, 20, 0, -32],
 [0, -8, 14, -4]]

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


[User]
What is the rank of the matrix:
[[2, 10, 0, -6],
 [3, 15, 0, -9],
 [-1, -5, 0, 3],
 [-8, 14, 0, -12]]?

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


[User]
What is the rank of the matrix:
[[8, -8, -20, -13],
 [3, -3, -4, -4],
 [5, -5, -8, -7],
 [-2, 2, 12, 5]]?

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-6, -11, 1, 6],
 [7, 4, -10, 8],
 [-7, -11, 3, 4],
 [17, 23, -11, -8]]?

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


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

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


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

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


[User]
What is the rank of the matrix:
[[5, -9, -16, 2],
 [-1, -3, -24, -2],
 [7, -9, -2, 4],
 [-16, 18, -10, -10]]?

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[9, 12, -24, 3],
 [-12, -18, 14, -1],
 [3, 1, -17, 1],
 [-12, -5, -7, 14]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-9, -18, 5, 3],
 [-6, -22, -5, 2],
 [13, 29, -3, 6],
 [-8, -20, 4, 20]]

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


[User]
Determine the rank of the following matrix:
[[8, -18, 6, -4],
 [-7, 15, -4, 3],
 [3, 6, -10, 16],
 [-12, 27, -8, 7]]

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


[User]
Calculate the rank of matrix A where A =
[[10, 23, -2, -20],
 [24, 6, -4, -8],
 [10, 30, 0, -24],
 [-6, 1, 11, 8]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-8, -8, -8, -12],
 [-3, -13, -11, -1],
 [2, 2, 5, -3],
 [21, -13, 3, 25]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[18, 2, -22, -4],
 [3, 7, -2, -4],
 [12, -4, -16, 0],
 [-6, 2, 8, 0]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[1, 9, 27, 23],
 [13, 7, 12, 13],
 [7, 3, 1, 5],
 [-4, -16, -44, -40]]

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


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

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


[User]
Find the rank of the matrix:
[[-13, 6, -15, -3],
 [-9, -6, -3, -3],
 [15, -1, 13, 4],
 [11, 0, 9, 3]]

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


[User]
What is the rank of the matrix:
[[-6, 6, 5, -7],
 [9, 9, 21, -6],
 [12, 0, 9, 3],
 [4, 12, 22, -10]]?

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


[User]
Calculate the rank of matrix A where A =
[[-3, 1, -3, 9],
 [-5, -11, 7, -1],
 [14, 31, -16, -5],
 [2, 15, -4, -5]]

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


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

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


[User]
What is the rank of the matrix:
[[3, -2, 2, 15],
 [-6, -4, 9, 29],
 [-19, -9, -2, -12],
 [3, 14, 7, -6]]?

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[1, 4, 7, -2],
 [-15, -24, -15, -15],
 [-4, -4, 2, -7],
 [-5, -8, -5, -5]]

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


[User]
What is the rank of the matrix:
[[20, -2, 4, -5],
 [3, -1, 2, 13],
 [-11, 5, -10, -7],
 [18, -5, 10, -28]]?

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


[User]
Find the rank of the matrix:
[[12, 16, 16, -12],
 [8, 14, 18, -11],
 [-2, -16, 16, -1],
 [12, 6, -6, -3]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-3, 12, -9, -12],
 [-5, -14, 1, 8],
 [-7, 7, -5, -14],
 [-5, -1, 1, -6]]?

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-2, 10, -2, -2],
 [12, -4, 16, 4],
 [-15, 3, -17, 9],
 [12, 15, 15, -9]]

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


[User]
What is the rank of the matrix:
[[6, 6, 4, 7],
 [2, 13, 5, -16],
 [0, -9, -3, 15],
 [10, 17, 9, 0]]?

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[0, -20, 20, 32],
 [16, -2, -2, 0],
 [-4, -2, 3, 4],
 [-16, 2, 2, 0]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[5, 16, 12, -2],
 [-11, 4, 3, -4],
 [1, -8, -6, 2],
 [15, -8, -6, 6]]

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


[User]
Find the rank of the matrix:
[[-1, 1, -3, -1],
 [5, -3, 6, 1],
 [-13, 26, -3, 10],
 [-18, 26, -9, 8]]

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


[User]
What is the rank of the matrix:
[[16, -12, -8, 1],
 [-32, 20, -8, 20],
 [-16, 3, -22, 23],
 [12, -8, 4, -9]]?

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-4, -8, -4, 9],
 [-16, 0, -16, -12],
 [-5, -12, 4, 3],
 [2, -12, 8, 12]]

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


[User]
Find the rank of the matrix:
[[1, -1, 12, -6],
 [-15, -3, -17, -10],
 [17, -12, -15, 20],
 [-6, 3, 24, -18]]

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


[User]
Determine the rank of the following matrix:
[[1, -6, 6, -9],
 [0, -2, 3, -4],
 [3, -19, 15, -2],
 [2, -6, 2, 0]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-2, -20, -16, -6],
 [-2, 8, 4, -6],
 [-1, 18, 12, -3],
 [1, -25, -17, 3]]?

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[4, 1, -4, -1],
 [-5, -2, 1, -2],
 [2, 6, 6, 10],
 [-30, -6, 14, -1]]

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


[User]
Determine the rank of the following matrix:
[[-4, -14, -8, 10],
 [-1, -8, -2, -11],
 [1, 4, 2, -1],
 [-1, -4, -2, 1]]

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


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

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-11, 7, 6, 11],
 [5, -4, 14, 9],
 [-3, 1, -2, 13],
 [4, -3, 4, 3]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[-14, 18, 3, -16],
 [1, 8, -3, 16],
 [4, -6, -9, -8],
 [-3, -10, 12, -16]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-4, 4, 10, -2],
 [2, -8, -2, 1],
 [-8, 22, 13, -4],
 [-8, 14, 17, -4]]

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


[User]
Determine the rank of the following matrix:
[[-10, -1, 1, 0],
 [26, 10, 23, -32],
 [14, -8, 5, -8],
 [-4, -11, -6, 8]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-12, -12, -9, -3],
 [0, -12, 5, 7],
 [24, 0, 28, 20],
 [16, -8, 22, 18]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-2, 15, -11, -8],
 [0, 24, -16, -12],
 [-2, -21, 13, 10],
 [2, -3, 3, 2]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-3, 21, 24, 4],
 [0, -15, -1, 11],
 [12, 6, -2, -10],
 [15, 6, 15, 3]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[0, 14, 8, 2],
 [28, 2, 0, 13],
 [-20, 2, 24, -29],
 [-26, 0, 10, -20]]

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


[User]
Determine the rank of the following matrix:
[[-6, -13, -6, -15],
 [2, 0, 4, -14],
 [20, -9, 14, 9],
 [9, 9, 8, 13]]

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


[User]
What is the rank of the matrix:
[[12, 8, -4, 4],
 [-17, 0, -5, -7],
 [4, -3, 4, 2],
 [22, -8, 14, 10]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[2, 5, 15, 12],
 [-4, -2, -6, -16],
 [6, 1, 15, 0],
 [-16, 7, -3, -5]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-20, 20, -4, 12],
 [-14, 17, -13, 0],
 [8, -14, 22, 12],
 [12, -11, -1, -10]]

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


[User]
Calculate the rank of matrix A where A =
[[20, -9, 1, 6],
 [-18, 8, 0, 1],
 [-10, 0, -4, -12],
 [-6, 2, 2, 16]]

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


[User]
Calculate the rank of matrix A where A =
[[9, -10, 6, 1],
 [5, -2, -2, 13],
 [3, -6, 6, -9],
 [-16, 20, -14, 6]]

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


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

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[12, 11, 11, 4],
 [-3, -10, 20, 17],
 [15, 14, 4, -1],
 [6, 1, 11, 8]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-13, -7, -8, 3],
 [19, 5, 10, -6],
 [28, 18, 20, -5],
 [-22, -20, -18, 2]]?

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


[User]
Determine the rank of the following matrix:
[[0, -2, 8, -4],
 [5, -12, -2, 1],
 [-3, 7, 2, -1],
 [1, 1, -14, 7]]

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


[User]
Determine the rank of the following matrix:
[[26, -8, -16, 16],
 [12, 8, -8, -8],
 [1, 5, 5, -11],
 [24, -15, -7, 19]]

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


[User]
What is the rank of the matrix:
[[0, 14, -4, 6],
 [16, -17, -20, 21],
 [23, -3, -21, 12],
 [-19, -1, 8, 9]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[-5, -9, -13, -8],
 [-6, -6, -18, -18],
 [4, 8, 16, 20],
 [7, 5, 21, 22]]

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


[User]
What is the rank of the matrix:
[[-2, 14, -6, -6],
 [8, 33, -26, -29],
 [19, 1, 7, -11],
 [14, 11, 2, -13]]?

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


[User]
What is the rank of the matrix:
[[-10, -26, -14, 2],
 [4, -2, -7, 8],
 [33, 15, 0, 3],
 [-10, 11, 19, -17]]?

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


[User]
Find the rank of the matrix:
[[-7, -16, -9, 15],
 [-1, -4, 0, -3],
 [5, 12, 2, 3],
 [7, 16, 5, -3]]

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


[User]
Find the rank of the matrix:
[[-7, -17, -5, -13],
 [-6, -13, -4, -10],
 [-6, -2, -2, -2],
 [-12, -4, -4, -4]]

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


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

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


[User]
What is the rank of the matrix:
[[-12, 12, 0, -8],
 [-11, 7, -4, 14],
 [0, -3, -3, 16],
 [1, -5, -4, 22]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[14, 1, 12, -2],
 [0, 22, 14, -8],
 [-4, 20, 20, -4],
 [2, -4, -13, -2]]

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


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

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


[User]
Find the rank of the matrix:
[[8, -5, 1, 3],
 [26, 0, -8, -2],
 [-20, -6, -1, 2],
 [9, -12, -9, 3]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[14, 4, 7, -20],
 [6, 1, 3, 0],
 [-2, -1, -1, 8],
 [10, 4, 5, -28]]

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


[User]
Determine the rank of the following matrix:
[[-2, 0, 14, 2],
 [-2, 3, 25, 4],
 [3, 9, 12, 3],
 [1, 6, 15, 3]]

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


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

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


[User]
What is the rank of the matrix:
[[-8, -13, 7, 6],
 [-4, 1, 1, 2],
 [6, -15, 16, -9],
 [20, -14, 0, -10]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-4, -5, -3, -8],
 [8, 5, 7, 0],
 [-12, -5, -7, -11],
 [-8, -4, -4, -12]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-4, 0, 24, 16],
 [-2, 0, 12, 8],
 [3, 12, 0, 0],
 [1, 4, 0, 0]]

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


[User]
Find the rank of the matrix:
[[-24, 0, 4, 6],
 [-9, -6, -2, -1],
 [1, -4, -2, -3],
 [-8, -1, -4, 7]]

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


[User]
Calculate the rank of matrix A where A =
[[-8, 6, 19, 15],
 [0, 4, -26, -10],
 [8, -14, 23, 7],
 [-6, 10, -9, -5]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-4, 8, -2, 11],
 [-6, 11, 2, 11],
 [2, -4, -7, 4],
 [8, -16, -12, -3]]

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


[User]
Find the rank of the matrix:
[[4, -5, -8, -10],
 [-12, 9, 24, 6],
 [0, 3, 0, 12],
 [-10, 7, 20, 3]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[8, 17, -10, -12],
 [-8, -14, 16, 12],
 [4, 9, -4, -6],
 [8, 13, -18, -12]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-6, -10, -3, 7],
 [-18, 16, 21, -7],
 [10, 4, -20, 0],
 [-10, -5, 5, 4]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[4, 5, 31, 4],
 [16, 7, 20, 3],
 [6, -1, -30, -4],
 [-4, -7, -13, 0]]

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


[User]
Determine the rank of the following matrix:
[[-6, 6, 9, 3],
 [10, 6, -29, -7],
 [-14, -3, -6, -19],
 [-14, 7, 2, -9]]

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


[User]
What is the rank of the matrix:
[[8, 12, 0, 8],
 [5, 8, -4, 6],
 [18, -11, -32, 6],
 [-1, 27, 24, 8]]?

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-16, -4, -20, 4],
 [-9, -19, -17, 1],
 [6, -10, 4, 6],
 [13, 9, 18, -7]]

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


[User]
Determine the rank of the following matrix:
[[-5, 6, 5, 18],
 [-6, 6, 1, 17],
 [8, -8, -18, -21],
 [-8, 8, 18, 21]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[3, 12, -9, 9],
 [0, 13, -11, 6],
 [3, -1, 2, 3],
 [-2, -8, 6, -6]]

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


[User]
What is the rank of the matrix:
[[1, -13, -9, -2],
 [-9, 15, 23, -4],
 [-2, 4, -10, 2],
 [3, 9, -9, 6]]?

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[28, 18, -2, 18],
 [-16, 0, 26, -6],
 [5, -3, -10, 0],
 [1, 15, -3, 11]]

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


[User]
Determine the rank of the following matrix:
[[-8, 0, 4, -12],
 [24, -10, -5, 8],
 [32, -20, -2, -8],
 [8, -4, -12, 8]]

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


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

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


[User]
What is the rank of the matrix:
[[6, 4, -1, 0],
 [-6, 12, 3, 12],
 [4, -16, -3, -14],
 [-11, 10, 4, 13]]?

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


[User]
Determine the rank of the following matrix:
[[-5, 0, 3, -32],
 [-25, -5, -17, -22],
 [12, 3, 12, -6],
 [-2, 4, -15, 0]]

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


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

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


[User]
Find the rank of the matrix:
[[-6, 28, 24, -12],
 [11, 6, 4, -12],
 [6, 8, 0, -6],
 [-2, -6, -1, 3]]

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


[User]
Calculate the rank of matrix A where A =
[[9, 6, -10, -20],
 [3, 0, 1, -4],
 [6, -6, 15, 0],
 [-2, -4, 8, 8]]

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


[User]
Find the rank of the matrix:
[[6, -1, 8, -10],
 [-12, 8, -2, 2],
 [-12, 5, -9, 11],
 [-14, 7, -8, 9]]

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


[User]
Determine the rank of the following matrix:
[[12, -9, -1, -1],
 [0, 28, 12, -20],
 [0, -21, -9, 15],
 [12, -16, -4, 4]]

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


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

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


[User]
What is the rank of the matrix:
[[10, -2, -4, -11],
 [-7, 5, -1, 2],
 [-2, 6, -6, -8],
 [-14, 2, -2, 4]]?

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


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

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


[User]
What is the rank of the matrix:
[[-2, 6, -2, -4],
 [-7, -5, -7, 0],
 [6, -5, 6, 5],
 [24, 19, 24, -1]]?

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


[User]
Determine the rank of the following matrix:
[[-18, 2, -20, -14],
 [-16, -8, 0, 16],
 [-3, -15, 8, 6],
 [12, 16, -4, -10]]

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


[User]
Find the rank of the matrix:
[[12, 4, 7, 9],
 [-36, -4, -19, -9],
 [-10, 2, -2, -3],
 [40, 4, 20, 12]]

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


[User]
Find the rank of the matrix:
[[-6, 6, 8, -2],
 [-1, -3, -1, 1],
 [8, 0, -6, 0],
 [-16, 12, 19, -4]]

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


[User]
Calculate the rank of matrix A where A =
[[2, -1, 0, -3],
 [16, -6, 12, -18],
 [-9, 4, -3, 12],
 [-1, 1, 3, 3]]

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


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

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


[User]
What is the rank of the matrix:
[[12, 24, 14, -24],
 [3, 0, -5, 0],
 [0, 12, 17, -12],
 [-7, -4, 6, 4]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[0, 8, -14, -15],
 [0, -13, 2, 3],
 [0, 1, 0, -1],
 [0, 9, -10, -8]]

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


[User]
Calculate the rank of matrix A where A =
[[2, 0, 2, 2],
 [21, 12, 17, 21],
 [12, 6, 8, 12],
 [5, 6, 5, 5]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-36, 2, -9, 12],
 [-12, -12, -6, 9],
 [4, 14, -13, -18],
 [4, 9, 22, 7]]

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


[User]
What is the rank of the matrix:
[[-2, -1, -3, -2],
 [6, 6, 9, 4],
 [6, -9, 9, 14],
 [0, 6, 0, -4]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[-2, 6, 16, -14],
 [22, -6, 12, -4],
 [16, -4, 0, 6],
 [0, 4, 16, -14]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[14, -24, -10, -11],
 [-2, 1, -1, 4],
 [-14, 24, 10, 11],
 [-8, 16, 8, 4]]

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


[User]
Find the rank of the matrix:
[[3, 3, 2, 9],
 [2, 2, -10, -11],
 [0, 0, 4, 6],
 [-1, -1, -6, -11]]

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[4, 21, 14, -7],
 [8, 24, 16, -4],
 [-18, -9, -6, -16],
 [8, 6, 4, 6]]

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


[User]
Calculate the rank of matrix A where A =
[[-12, 30, 24, -16],
 [-6, 4, -13, 10],
 [-4, 6, 8, -20],
 [-2, 8, 11, -8]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[6, -5, -1, -12],
 [12, -10, -2, -24],
 [-14, 1, 13, -4],
 [12, 2, -14, 12]]

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


[User]
Calculate the rank of matrix A where A =
[[-1, -15, 6, 12],
 [19, -3, -20, -14],
 [0, -3, 7, 4],
 [11, -9, -17, -5]]

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


[User]
Find the rank of the matrix:
[[-10, -5, 2, -8],
 [5, 0, 11, 6],
 [-3, 3, -21, -6],
 [-17, -8, 1, -14]]

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


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

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


[User]
What is the rank of the matrix:
[[-8, 4, -12, -18],
 [10, 2, 8, -2],
 [-4, -4, 0, 12],
 [-3, 3, -6, -12]]?

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


[User]
Determine the rank of the following matrix:
[[1, 4, 6, 10],
 [-1, -1, 11, 11],
 [2, 2, 10, 26],
 [1, 10, -4, -14]]

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


[User]
Find the rank of the matrix:
[[21, 13, -10, 13],
 [19, 17, -12, 9],
 [-18, -4, 5, -15],
 [-6, 7, 15, -13]]

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


[User]
Find the rank of the matrix:
[[-3, -3, 0, 9],
 [-13, -8, -15, 6],
 [-8, 2, -6, 6],
 [-2, 23, -3, -15]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-4, 4, -20, -12],
 [12, 4, 8, 36],
 [0, 2, -4, 10],
 [10, 2, 8, 18]]

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


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

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


[User]
Find the rank of the matrix:
[[15, 20, 12, -7],
 [0, 0, -1, -4],
 [3, 4, 6, 13],
 [-3, -4, -6, -13]]

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


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

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


[User]
What is the rank of the matrix:
[[9, -9, 2, 11],
 [8, 11, 6, -5],
 [6, 5, 2, -3],
 [11, -16, -4, 12]]?

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


[User]
Calculate the rank of matrix A where A =
[[3, 3, -8, 10],
 [6, -9, 3, 12],
 [4, 15, -6, 9],
 [-6, 13, -6, -11]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-3, -2, 5, 1],
 [-7, 8, -2, -9],
 [-10, 0, 7, -4],
 [-3, -18, 0, 3]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-4, 8, -24, -28],
 [-1, 6, -8, -11],
 [-2, 12, -16, -22],
 [0, -4, 2, 4]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-1, 13, -4, -7],
 [-9, 9, -12, 9],
 [-4, 16, -8, -4],
 [3, -3, 4, -3]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[6, -11, -3, 3],
 [-5, -8, 16, 5],
 [-1, 10, -22, -13],
 [-6, 2, -6, -8]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[-9, -11, -13, -6],
 [-3, 18, 13, -2],
 [0, 10, 8, 0],
 [3, 2, 3, 2]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-22, 18, -6, -8],
 [0, -5, -20, 8],
 [7, -8, -14, 13],
 [8, -12, -11, 3]]?

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


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

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


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

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


[User]
Find the rank of the matrix:
[[0, 16, -28, -24],
 [-10, 24, -22, -8],
 [-1, 4, 9, 8],
 [2, 8, 14, 8]]

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


[User]
Determine the rank of the following matrix:
[[-12, 9, -17, -9],
 [0, -3, 7, 3],
 [11, 6, 1, -6],
 [-6, 0, 2, 0]]

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


[User]
What is the rank of the matrix:
[[8, 8, -6, 4],
 [-8, -1, 6, 17],
 [16, 10, -12, -10],
 [8, 0, -6, -20]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[-23, -1, -8, -7],
 [3, 7, 13, 9],
 [0, 4, 6, 4],
 [12, 9, 14, 10]]

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


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

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


[User]
What is the rank of the matrix:
[[-12, 0, -4, 8],
 [5, 2, 2, -4],
 [-16, 8, -4, 8],
 [9, 0, 3, -6]]?

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


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

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[17, -7, -5, 10],
 [13, -7, 11, -8],
 [-14, 6, 2, -6],
 [-1, -1, 13, -14]]

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


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

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


[User]
Find the rank of the matrix:
[[-7, 1, 5, -3],
 [-21, 11, 15, -3],
 [8, 0, -8, -2],
 [7, 1, -3, 10]]

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


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

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


[User]
Find the rank of the matrix:
[[-18, -14, 14, 16],
 [3, 5, 1, -1],
 [6, 10, 2, -2],
 [-15, -17, 5, 10]]

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


[User]
Find the rank of the matrix:
[[-4, -4, 4, 1],
 [-24, -8, 8, -14],
 [0, 0, 0, 0],
 [-20, -4, 4, -15]]

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


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

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-25, 5, 2, -12],
 [1, -3, 3, 3],
 [-22, 6, 0, -12],
 [28, -4, -4, 12]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[0, 22, -20, 6],
 [0, 16, -12, 4],
 [0, 19, -16, 5],
 [0, 16, -19, 5]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[4, -14, -10, -4],
 [4, -15, -13, 0],
 [6, -22, -18, -2],
 [1, -1, 5, -11]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-6, 17, 12, 9],
 [-1, -3, -3, -1],
 [-2, 4, -1, -1],
 [5, -11, 7, 7]]

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


[User]
Calculate the rank of matrix A where A =
[[16, 4, 26, -6],
 [-14, -4, -16, -14],
 [-11, 2, -12, -2],
 [-13, 4, -9, -13]]

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


[User]
Determine the rank of the following matrix:
[[-1, 17, 2, 10],
 [4, -8, -8, 5],
 [2, -10, -4, -2],
 [3, -3, -6, 6]]

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


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

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


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

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-1, -8, 12, -16],
 [-9, 24, -16, 12],
 [3, 0, 2, -6],
 [4, -24, 8, 8]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[-4, 6, 4, 8],
 [-14, 9, 6, 4],
 [-14, 9, 6, 4],
 [-17, 12, 8, 7]]

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


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

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


[User]
Find the rank of the matrix:
[[-3, 21, -3, 12],
 [-3, 3, -2, 1],
 [-18, 0, -11, -5],
 [-3, -15, -1, -10]]

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


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

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


[User]
What is the rank of the matrix:
[[13, -6, -11, 4],
 [10, -7, -12, 1],
 [-2, -8, -22, 4],
 [4, -2, -1, -2]]?

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


[User]
Calculate the rank of matrix A where A =
[[-30, 28, -18, 0],
 [5, -17, 12, -10],
 [-28, 2, 6, -20],
 [-25, 8, -9, -12]]

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


[User]
Find the rank of the matrix:
[[7, -12, 1, -1],
 [-9, 15, -1, 1],
 [-18, 14, 18, -14],
 [-4, 3, 2, -2]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-20, -8, -16, 8],
 [-15, -6, -20, 2],
 [-4, -6, -16, -8],
 [-1, -7, 0, -4]]

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


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

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


[User]
Find the rank of the matrix:
[[-10, -11, 7, -2],
 [-17, -11, 7, -10],
 [-6, 8, -4, -24],
 [-16, -13, 9, -14]]

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


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

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


[User]
What is the rank of the matrix:
[[-13, 1, -6, -5],
 [16, -8, 11, 4],
 [-6, 6, -4, -2],
 [-14, -4, 1, -11]]?

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


[User]
Calculate the rank of matrix A where A =
[[-3, -2, 3, 1],
 [-9, -6, 4, 4],
 [-3, -3, 15, 1],
 [12, 6, -18, 2]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-8, -12, 12, 16],
 [4, -3, 4, -1],
 [-2, 6, -7, -3],
 [-16, -6, 4, 18]]?

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


[User]
Determine the rank of the following matrix:
[[7, 6, 0, 2],
 [5, 9, 6, -5],
 [1, 15, 18, -19],
 [11, 0, -12, 16]]

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


[User]
Calculate the rank of matrix A where A =
[[18, -16, 0, -11],
 [0, -10, -18, -8],
 [14, -8, 8, -5],
 [-10, 10, 2, 7]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-13, 7, -1, -5],
 [0, 5, -10, -11],
 [7, 2, -11, -10],
 [10, -5, 0, 3]]

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


[User]
Determine the rank of the following matrix:
[[-10, -6, 6, -10],
 [2, -10, 2, -6],
 [-10, 1, 4, -5],
 [6, 19, -8, 17]]

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


[User]
Find the rank of the matrix:
[[0, 11, 18, 0],
 [0, 6, 4, -8],
 [0, 14, 12, -15],
 [0, 17, 22, -8]]

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[12, 2, 0, -11],
 [4, 15, -2, 9],
 [6, 10, 9, -10],
 [14, 12, 5, -12]]

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


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

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


[User]
What is the rank of the matrix:
[[-8, -16, 13, -10],
 [20, -4, 17, -8],
 [2, -17, 22, -13],
 [-6, -5, 10, -1]]?

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-11, 4, -6, 8],
 [-12, -2, 1, 3],
 [-16, 16, -4, 4],
 [-3, -18, 12, -6]]

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


[User]
Calculate the rank of matrix A where A =
[[4, 5, 9, -2],
 [-28, -10, -13, 14],
 [16, 6, 8, -8],
 [-8, -5, -8, 4]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-14, 24, 19, 16],
 [8, 0, 5, -10],
 [-2, 5, -4, 14],
 [-12, -7, -3, -2]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-1, -5, -15, 4],
 [-19, 4, 9, -5],
 [3, 7, 24, -9],
 [19, -2, -2, 2]]

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-10, -2, -4, -13],
 [-8, -8, -4, -18],
 [0, -19, 21, -4],
 [-6, 17, -15, 2]]?

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-2, 12, 8, 6],
 [6, -4, 1, 6],
 [-4, -8, -4, -12],
 [11, -18, -6, 3]]?

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


[User]
What is the rank of the matrix:
[[4, -4, 4, -3],
 [12, -20, 28, -17],
 [-8, 2, 4, 0],
 [4, -4, 4, -3]]?

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


[User]
What is the rank of the matrix:
[[-30, 4, 2, 12],
 [-2, -4, -7, 3],
 [14, 28, -5, -3],
 [6, -12, 0, -3]]?

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-9, 8, -8, 8],
 [-15, 12, -16, 12],
 [-3, 10, 12, 10],
 [0, 0, 0, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[16, 6, 21, 1],
 [1, 1, 4, 3],
 [13, 9, -3, -5],
 [0, -6, -9, -17]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[9, -3, -7, -5],
 [6, -1, -5, -2],
 [3, 7, -5, 9],
 [9, -18, -2, -25]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-2, -6, 10, 2],
 [-2, -14, 16, 2],
 [-2, -14, 16, 2],
 [0, 16, -12, 0]]

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


[User]
Determine the rank of the following matrix:
[[1, -4, 11, -10],
 [-3, 2, 7, -5],
 [8, -12, 8, -10],
 [4, -6, 4, -5]]

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


[User]
Calculate the rank of matrix A where A =
[[3, -1, 12, -11],
 [-7, 1, 9, -11],
 [-7, 1, 9, -11],
 [1, 5, 12, -13]]

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


[User]
Find the rank of the matrix:
[[-6, 8, -18, 9],
 [5, -6, 13, -6],
 [-16, 16, -32, 12],
 [1, 3, -1, 0]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-10, 10, 1, 9],
 [16, -4, -23, 5],
 [-16, -24, -6, 4],
 [22, 6, -18, 2]]

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


[User]
What is the rank of the matrix:
[[22, -19, 9, 1],
 [-6, -9, -3, -23],
 [10, 5, -6, -6],
 [-28, 10, -12, -24]]?

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


[User]
What is the rank of the matrix:
[[5, -4, 2, 3],
 [1, -2, 3, 3],
 [-8, -8, 28, 24],
 [4, -8, 12, 12]]?

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-3, 13, 12, 14],
 [17, 5, 9, -17],
 [-7, -5, 6, 7],
 [-18, -20, -15, 8]]?

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


[User]
Calculate the rank of matrix A where A =
[[-6, 9, 20, 0],
 [-8, 12, 8, -28],
 [6, -9, -16, 6],
 [-4, 6, 16, 4]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-12, 5, -2, 12],
 [32, -4, 12, -32],
 [-4, 1, 3, 4],
 [12, 20, 24, -12]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[3, -3, 6, 21],
 [-1, -1, -14, 3],
 [3, 1, -2, 13],
 [-3, -11, 22, 7]]

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


[User]
Determine the rank of the following matrix:
[[3, -20, 10, 20],
 [0, -8, 4, 8],
 [-6, 24, -12, -24],
 [9, -20, 10, 20]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[16, 2, -9, 2],
 [24, -12, -6, 8],
 [16, 2, -9, 2],
 [20, -8, -6, 6]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-15, -15, -9, 1],
 [-15, -15, -3, 2],
 [2, -14, 18, 20],
 [-4, 10, -21, -18]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-7, -8, -9, 13],
 [-3, 5, 18, -9],
 [-16, -20, -14, 8],
 [-20, -14, 7, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[14, -4, -18, -2],
 [-14, -12, 16, -10],
 [2, -26, -12, -14],
 [-8, -26, 2, -16]]

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


[User]
Calculate the rank of matrix A where A =
[[6, 3, 1, 7],
 [-2, -3, -14, -13],
 [-2, -1, 9, 11],
 [5, 5, 1, -5]]

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


[User]
Find the rank of the matrix:
[[4, -2, -3, -1],
 [10, -2, -15, -7],
 [-20, 14, 5, -1],
 [22, -14, -9, -1]]

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


[User]
Find the rank of the matrix:
[[7, 4, 2, 3],
 [-4, -3, -4, -3],
 [-13, -11, -18, -12],
 [-28, -16, -8, -12]]

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


[User]
Find the rank of the matrix:
[[-1, 16, -3, 14],
 [0, -16, 0, -16],
 [0, 0, 0, 0],
 [-6, 8, -18, -4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[16, -16, -16, 8],
 [-12, 12, 12, -6],
 [-12, 12, 12, -6],
 [-4, 4, 4, -2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[14, 12, -16, -12],
 [4, 14, -18, -18],
 [-13, 4, -5, -10],
 [-7, -4, 21, 10]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-18, 22, 16, -4],
 [9, -11, -8, 2],
 [-3, 2, -4, 1],
 [3, -1, 8, -2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[0, 0, 0, 0],
 [-9, -12, 12, -12],
 [3, 4, -4, 4],
 [9, 12, -12, 12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[8, 0, 0, 0],
 [-4, 0, 0, 0],
 [-8, 0, 0, 0],
 [2, 0, 0, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[12, 9, 9, -9],
 [4, 3, 3, -3],
 [16, 12, 12, -12],
 [-12, -9, -9, 9]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[1, 17, -16, 0],
 [2, -2, 4, 0],
 [-3, 5, -8, 0],
 [2, 18, -16, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[12, 16, -4, -12],
 [6, 8, -2, -6],
 [-3, -4, 1, 3],
 [-3, -4, 1, 3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[6, -2, 0, 8],
 [3, -1, 0, 4],
 [-9, 3, 0, -12],
 [-6, 2, 0, -8]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[8, -4, -4, 12],
 [4, -2, -2, 6],
 [-6, 3, 3, -9],
 [6, -3, -3, 9]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[3, -2, -2, 2],
 [-3, 14, -19, -8],
 [9, -2, 4, 10],
 [9, -2, -13, 4]]

Present the answer in LaTex format: \boxed{Your answer}