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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-8, 14, -5, -8],
 [-12, 24, -12, -8],
 [-4, 4, 2, -8],
 [6, -12, 6, 4]]

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


[User]
Determine the rank of the following matrix:
[[-8, 4, 16, -12],
 [5, 5, -4, 3],
 [-10, 0, 16, -12],
 [2, -1, -4, 3]]

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


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

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


[User]
What is the rank of the matrix:
[[0, 2, -19, -4],
 [5, -3, 6, -4],
 [-4, 16, 7, 0],
 [22, -10, -4, -24]]?

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


[User]
Find the rank of the matrix:
[[4, 0, -19, -5],
 [12, 0, -17, -5],
 [-12, 0, 25, 7],
 [-16, 0, 4, 2]]

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


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

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


[User]
Find the rank of the matrix:
[[-4, 6, -4, 8],
 [-7, -6, -16, 20],
 [2, 8, 8, -8],
 [-6, 9, -6, 12]]

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-16, -28, 24, -8],
 [4, -13, 9, -13],
 [-8, -6, 6, 2],
 [16, 20, -18, 2]]

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[2, -1, 8, -6],
 [6, -3, 12, 0],
 [-2, 5, -2, -10],
 [14, 1, 2, 25]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[12, -10, 15, -4],
 [-20, 16, -24, 8],
 [-8, 6, -9, 4],
 [-9, 6, -9, 6]]

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


[User]
What is the rank of the matrix:
[[0, -1, -1, 17],
 [-4, -5, 5, -17],
 [2, 10, -7, 4],
 [-20, 6, -4, 3]]?

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-2, -21, -9, 10],
 [22, -3, -3, 28],
 [7, 10, 3, 1],
 [-3, -18, -15, -6]]

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


[User]
Calculate the rank of matrix A where A =
[[-12, -2, -11, -11],
 [-18, 2, -13, -19],
 [-11, 4, -6, -13],
 [-14, -4, -14, -12]]

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


[User]
Find the rank of the matrix:
[[32, -40, -34, -10],
 [10, -6, 0, -16],
 [6, -10, -12, 0],
 [10, -14, -13, 0]]

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


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

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-8, 8, 13, 3],
 [12, 16, -4, -4],
 [20, 0, -6, -2],
 [16, 0, 6, 2]]

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


[User]
Find the rank of the matrix:
[[18, 13, 4, -15],
 [2, -5, 18, -16],
 [-2, -3, 15, -13],
 [-12, -8, 0, 7]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-4, 7, -11, 7],
 [6, -3, 9, -8],
 [-2, -15, -3, -4],
 [-2, -13, -1, -3]]

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


[User]
Determine the rank of the following matrix:
[[10, -10, -14, 14],
 [3, -1, 1, -3],
 [2, 1, 5, -8],
 [13, -11, -13, 11]]

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


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

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


[User]
Find the rank of the matrix:
[[12, 10, 0, 8],
 [-20, -19, 1, -14],
 [-18, -15, 0, -12],
 [2, 4, -1, 2]]

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


[User]
What is the rank of the matrix:
[[6, 0, -4, -2],
 [6, 0, -4, -2],
 [-1, -2, 0, -1],
 [-11, 2, 8, 5]]?

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


[User]
What is the rank of the matrix:
[[8, -6, 33, 21],
 [-8, 6, 9, 14],
 [-13, 1, -7, 4],
 [2, -4, 25, 19]]?

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


[User]
Calculate the rank of matrix A where A =
[[-13, 5, 2, 10],
 [0, -16, -2, 10],
 [13, -16, -6, -1],
 [14, -28, -7, 5]]

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


[User]
Determine the rank of the following matrix:
[[9, 0, -3, -7],
 [5, 10, 11, -7],
 [-4, 1, -1, -2],
 [8, -8, 8, 24]]

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


[User]
Find the rank of the matrix:
[[-16, 19, 10, 2],
 [-10, 11, 14, -8],
 [2, -8, -8, 0],
 [-1, -3, -6, 2]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-20, 24, 3, -3],
 [3, 14, -7, -17],
 [14, -12, -5, -3],
 [31, -14, 14, -10]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-14, 12, -8, 8],
 [11, -8, 6, -8],
 [-10, 15, -7, -2],
 [11, -8, 6, -8]]?

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-5, -7, -5, 19],
 [-8, 5, 1, 7],
 [2, 1, 1, -5],
 [-7, 19, 9, -15]]

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-4, -4, 3, -11],
 [12, 8, 3, 5],
 [-4, -5, 6, -18],
 [12, 9, 0, 12]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[13, 5, -10, 23],
 [0, -14, -4, -8],
 [-4, -12, -1, -22],
 [-3, -11, -1, -15]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[2, 3, -4, 8],
 [19, -6, 10, 4],
 [-5, 19, -22, -28],
 [10, 4, -4, 8]]?

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


[User]
Calculate the rank of matrix A where A =
[[12, 6, -8, -4],
 [18, 3, -20, 2],
 [6, -3, -12, 6],
 [-4, 5, 12, -8]]

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[8, 26, 14, -8],
 [0, 0, 15, -18],
 [-16, 0, 0, 24],
 [-8, -19, -1, -2]]

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


[User]
Calculate the rank of matrix A where A =
[[3, -2, 1, 5],
 [-1, -3, 3, -3],
 [-3, -2, 0, -4],
 [12, -13, -2, 28]]

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


[User]
Calculate the rank of matrix A where A =
[[-4, 0, -2, 2],
 [-13, 2, -7, 14],
 [3, -2, 1, -22],
 [6, -8, 6, -20]]

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


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

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


[User]
What is the rank of the matrix:
[[8, 24, 12, 12],
 [8, -3, 6, 6],
 [8, -3, 6, 6],
 [-6, -9, -7, -7]]?

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


[User]
What is the rank of the matrix:
[[16, 9, 3, -18],
 [-12, 16, -4, -4],
 [6, -8, 2, 2],
 [-7, 5, -2, 1]]?

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-12, -1, -4, 4],
 [-3, 9, 6, 3],
 [1, -28, -6, 11],
 [3, 4, -2, -7]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-3, 12, 12, 6],
 [-2, -8, 0, 8],
 [5, 12, -4, -18],
 [4, 16, 0, -16]]

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


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

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[15, -2, -6, 7],
 [5, -3, -4, 3],
 [12, 4, 0, 4],
 [2, -4, -4, 2]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[16, 0, 10, 2],
 [-10, 2, -6, -6],
 [14, -2, 9, 6],
 [26, 10, 14, -17]]

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


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

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-4, 12, 4, 0],
 [-4, 1, 3, -2],
 [2, -10, -4, -4],
 [14, 19, -3, 22]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-16, 1, 13, 1],
 [6, -15, 16, -5],
 [-8, -10, 22, -2],
 [5, -11, 16, 4]]

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


[User]
What is the rank of the matrix:
[[11, -11, -5, -2],
 [0, 0, -13, -14],
 [13, -13, 0, 4],
 [5, -5, 6, 8]]?

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


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

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


[User]
What is the rank of the matrix:
[[9, 1, 3, 11],
 [-11, -1, -3, -9],
 [-18, 1, 3, -14],
 [25, 9, 27, 25]]?

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


[User]
What is the rank of the matrix:
[[-24, 2, -20, -6],
 [-28, 9, -14, 3],
 [24, -14, -4, -18],
 [-32, 10, -20, 0]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[-6, -9, 12, 1],
 [2, 13, -4, -17],
 [0, -15, 12, 3],
 [0, 8, -4, -6]]

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


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

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


[User]
What is the rank of the matrix:
[[20, 9, 7, 16],
 [9, 12, 3, 12],
 [1, -13, -2, -16],
 [6, -18, 0, -16]]?

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[16, -22, -4, 8],
 [3, -4, -3, 1],
 [-3, 5, -15, -5],
 [14, -19, -8, 6]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[12, -9, 3, 6],
 [-12, -3, 9, -14],
 [-4, 9, -7, 2],
 [12, -9, 3, 6]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[24, 16, 16, 24],
 [28, 17, 17, 28],
 [4, 1, 1, 4],
 [16, 10, 10, 16]]

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


[User]
Find the rank of the matrix:
[[-7, 4, 3, 5],
 [-8, -4, -3, 0],
 [19, -28, -21, -25],
 [-15, 24, 18, 21]]

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


[User]
Determine the rank of the following matrix:
[[0, -6, 6, -2],
 [-4, 5, -8, 3],
 [-18, 0, -7, -7],
 [28, -2, 12, 12]]

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


[User]
What is the rank of the matrix:
[[18, 6, -13, -5],
 [-4, 2, 14, 10],
 [-10, 2, 25, 17],
 [2, 5, 13, 11]]?

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


[User]
What is the rank of the matrix:
[[-9, 5, -3, -4],
 [-10, 18, -1, -13],
 [-13, 9, -4, -7],
 [12, -12, 3, 9]]?

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


[User]
Determine the rank of the following matrix:
[[-14, -16, -10, 14],
 [14, -5, 2, -5],
 [-8, 20, 0, 0],
 [6, -27, 10, -7]]

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


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

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


[User]
Find the rank of the matrix:
[[8, 9, 0, -8],
 [-14, 8, -3, -20],
 [-18, 8, -6, -22],
 [-1, -4, 1, 5]]

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


[User]
Calculate the rank of matrix A where A =
[[-8, 16, 24, -8],
 [-4, 0, 8, 0],
 [-1, 4, 4, -2],
 [-6, 16, 20, -8]]

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


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

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],
 [0, 6, -12, 12],
 [0, -6, 12, -12]]?

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


[User]
What is the rank of the matrix:
[[12, -6, -4, 1],
 [28, -12, -12, 5],
 [4, 6, -12, 11],
 [12, -3, -8, 5]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[-18, 0, 10, -2],
 [0, 18, -8, -8],
 [20, 15, -16, 0],
 [12, -9, -4, 2]]

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


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

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


[User]
Find the rank of the matrix:
[[-4, 0, -6, 4],
 [-7, -3, -5, 7],
 [-2, 0, -3, 2],
 [-5, 9, -24, 5]]

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


[User]
What is the rank of the matrix:
[[-3, 2, 3, 0],
 [1, 5, 0, -3],
 [24, 1, -21, -9],
 [13, 14, -9, -12]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[9, 12, 0, -9],
 [-6, -4, 4, -22],
 [25, 20, -3, 7],
 [36, 16, -1, 4]]

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


[User]
Determine the rank of the following matrix:
[[-3, 12, -18, 9],
 [6, -12, 20, -8],
 [-4, -8, 8, -8],
 [-2, -16, 20, -14]]

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[15, -9, 0, -6],
 [6, 16, 7, -15],
 [-9, 11, 2, 0],
 [1, 5, 2, -4]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-4, 0, 12, 12],
 [6, 8, -2, -10],
 [2, -2, -10, -8],
 [6, 4, -10, -14]]

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


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

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


[User]
Find the rank of the matrix:
[[18, -6, -6, -20],
 [-9, -9, -3, 12],
 [3, 3, 1, -4],
 [-9, -3, 0, 11]]

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


[User]
What is the rank of the matrix:
[[3, -3, -20, 8],
 [0, 9, 6, 3],
 [3, 21, -4, 16],
 [-3, 3, 20, -8]]?

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[14, -14, -10, -10],
 [-2, -10, -5, -3],
 [-11, 8, 7, 4],
 [-21, -12, 6, -29]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[8, -14, 0, 2],
 [-14, 14, 3, -4],
 [-10, 0, 1, 16],
 [26, -22, -7, 9]]

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


[User]
Calculate the rank of matrix A where A =
[[-11, -10, -13, -8],
 [-2, 1, -2, 4],
 [3, 4, 8, 12],
 [-10, -3, -9, 8]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-12, 15, -15, 8],
 [20, -14, 6, -8],
 [4, -1, 21, -16],
 [-32, 20, -12, 16]]

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


[User]
Calculate the rank of matrix A where A =
[[10, 19, 10, 12],
 [1, 4, 1, 0],
 [-6, -10, -6, -8],
 [4, -5, 4, 12]]

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


[User]
Find the rank of the matrix:
[[0, -12, 7, 2],
 [2, -20, 11, 1],
 [10, -16, 6, -9],
 [-4, 16, -8, 2]]

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


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

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


[User]
Find the rank of the matrix:
[[-7, -1, 8, 7],
 [-5, -14, 2, 8],
 [-19, 2, -21, 1],
 [-9, -9, 1, 8]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-8, -16, 0, 13],
 [24, 8, 10, -9],
 [-37, 10, -21, 2],
 [6, -16, 7, 9]]

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


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

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


[User]
Find the rank of the matrix:
[[3, 2, -6, -4],
 [7, 6, -8, -8],
 [-18, -20, 0, 16],
 [8, 8, -4, -8]]

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


[User]
Calculate the rank of matrix A where A =
[[-4, 10, -4, -14],
 [2, -15, 1, 8],
 [1, -4, 0, 2],
 [0, -2, -7, -13]]

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


[User]
Calculate the rank of matrix A where A =
[[-1, 2, -2, -4],
 [-9, -2, -8, -2],
 [15, 0, 15, 9],
 [-17, -6, -14, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[5, 4, 2, 4],
 [-18, -15, -19, 3],
 [11, 10, 18, -11],
 [-14, -7, -11, -1]]

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


[User]
Calculate the rank of matrix A where A =
[[2, 5, -23, 12],
 [-8, 0, 12, -3],
 [30, -13, -4, -12],
 [-34, 3, 6, 12]]

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


[User]
Calculate the rank of matrix A where A =
[[3, 1, 0, 4],
 [0, 6, -3, 18],
 [3, -1, 1, -2],
 [-3, 7, -4, 20]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[26, 20, 8, 7],
 [-4, -4, -4, 1],
 [18, 12, 15, 6],
 [24, 16, 10, 10]]

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


[User]
Determine the rank of the following matrix:
[[-1, 0, 1, 2],
 [-5, 10, 5, -2],
 [20, -34, -19, 3],
 [1, -4, -10, -17]]

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


[User]
Determine the rank of the following matrix:
[[-8, -4, 0, -8],
 [10, -9, 16, 6],
 [4, 2, 0, 4],
 [17, -2, 12, 14]]

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


[User]
Find the rank of the matrix:
[[-24, -4, -25, -24],
 [12, -12, 9, 12],
 [-9, -12, -12, -9],
 [4, 24, 10, 4]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[2, -14, -4, -8],
 [8, 4, -10, 16],
 [14, -18, -20, 8],
 [-7, 9, 10, -4]]

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


[User]
Determine the rank of the following matrix:
[[18, 3, 0, 0],
 [-2, -11, 16, -8],
 [-12, 14, -24, 12],
 [6, 9, -12, 6]]

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-1, 0, 7, -1],
 [-3, 0, 9, 3],
 [7, -8, 15, 11],
 [5, -4, 5, 3]]

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


[User]
What is the rank of the matrix:
[[-5, 7, 6, 0],
 [12, -4, 8, 0],
 [-2, -10, -20, 0],
 [-8, -8, -24, 0]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[7, -3, 2, 0],
 [-5, -1, 0, -12],
 [13, -3, 7, 20],
 [-2, 0, -4, -12]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-5, 8, 15, 0],
 [-14, 2, -9, -17],
 [6, 1, 2, 5],
 [10, 3, 11, 12]]

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


[User]
What is the rank of the matrix:
[[0, -12, 32, 10],
 [24, 12, 8, 30],
 [-15, -2, 17, -10],
 [-9, -6, 1, -10]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[18, -2, 16, -12],
 [6, 8, -4, -6],
 [12, 16, -8, -12],
 [6, -5, 10, -3]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[0, 5, 5, -2],
 [6, -19, -1, -3],
 [-18, 5, -3, 16],
 [6, -2, 0, -5]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-12, -3, 3, 0],
 [-8, -6, -8, 6],
 [4, 16, 22, -18],
 [-11, 6, -8, -3]]

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-8, 15, -7, 2],
 [1, -6, -7, 2],
 [0, -4, 1, -1],
 [-1, 8, -3, 2]]

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


[User]
Determine the rank of the following matrix:
[[12, 0, 10, -22],
 [0, -8, -6, -12],
 [-6, -12, -8, -7],
 [3, 11, 8, 11]]

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


[User]
Determine the rank of the following matrix:
[[-12, 0, -10, 22],
 [-4, -4, 2, 1],
 [0, -2, 1, -2],
 [-4, 6, 7, 4]]

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


[User]
Calculate the rank of matrix A where A =
[[-18, 15, 10, -5],
 [-12, 15, 8, -7],
 [6, -2, 22, -8],
 [14, -14, 10, 0]]

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


[User]
What is the rank of the matrix:
[[-6, -7, -5, -10],
 [4, 9, 3, -13],
 [-24, -18, 12, 2],
 [-2, 0, 0, -9]]?

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[31, -1, 0, -13],
 [-10, 14, -4, 10],
 [11, -5, 6, -11],
 [8, 9, 0, -2]]

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


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

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


[User]
What is the rank of the matrix:
[[14, 3, -13, -12],
 [-8, 6, 10, 3],
 [-10, -3, 9, 9],
 [-10, -9, 7, 12]]?

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-9, -3, 13, 10],
 [0, 0, -8, -2],
 [-9, -3, 1, 7],
 [0, 0, 16, 4]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[4, 2, 7, -1],
 [-14, -14, 2, 0],
 [-1, 24, 18, -10],
 [14, 0, -9, 5]]

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


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

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


[User]
What is the rank of the matrix:
[[6, 2, -6, -10],
 [-11, -1, 3, 7],
 [-8, 4, -12, -15],
 [-6, -2, 6, 10]]?

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


[User]
Find the rank of the matrix:
[[23, -12, -30, 6],
 [4, 8, 0, 28],
 [-6, -8, 0, 23],
 [-22, 3, 23, 6]]

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


[User]
Calculate the rank of matrix A where A =
[[22, 5, 13, -25],
 [-8, -8, -14, 6],
 [4, 6, 10, -2],
 [14, 9, 17, -13]]

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


[User]
Find the rank of the matrix:
[[-3, -6, -1, -2],
 [-12, -3, -18, -15],
 [9, 18, 3, 6],
 [-12, -12, -12, -12]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-12, 9, 18, 12],
 [-12, 1, 10, 0],
 [-16, 0, 12, -2],
 [12, 1, -8, 3]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[13, 0, 10, 0],
 [13, 0, 10, 0],
 [20, -4, 12, 0],
 [20, -4, 12, 0]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-4, 11, 8, 2],
 [26, -9, 19, 14],
 [24, -6, 12, 8],
 [8, -18, 22, 22]]

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


[User]
Find the rank of the matrix:
[[-12, -14, -18, 3],
 [-6, -8, -10, 1],
 [-8, -2, -9, 7],
 [3, -11, 3, -12]]

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


[User]
What is the rank of the matrix:
[[-6, -3, -15, 12],
 [13, 3, -13, 2],
 [-9, -4, -16, 14],
 [14, 4, -4, -4]]?

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


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

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


[User]
Find the rank of the matrix:
[[22, -17, 8, -14],
 [8, 13, -7, -2],
 [-24, -4, -8, 8],
 [4, 15, -3, 2]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[22, 19, -4, 32],
 [-17, -8, 6, -26],
 [24, 0, -8, 20],
 [16, -2, -8, 20]]

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[1, -3, 0, -2],
 [7, -9, -1, -4],
 [19, -21, 0, -8],
 [-7, 3, 9, -1]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-12, -12, -14, -10],
 [10, 8, -1, 26],
 [2, 8, 7, 2],
 [0, 4, 2, 2]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-12, -22, 10, 10],
 [-20, -24, -16, 26],
 [8, 9, 5, -10],
 [18, 29, -1, -19]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[8, 12, 4, -12],
 [0, 0, 16, 0],
 [-4, -6, 10, 6],
 [6, 9, 13, -9]]

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


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

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[4, -25, 22, 2],
 [-5, 0, 6, -4],
 [5, -11, 14, -2],
 [-5, -14, 2, 8]]

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


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

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-1, -11, -2, 1],
 [-2, 6, 0, 2],
 [-2, 6, 0, 2],
 [4, -5, 1, -4]]?

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


[User]
Determine the rank of the following matrix:
[[-4, 0, 4, 1],
 [3, 9, -3, 6],
 [1, -5, -1, -4],
 [4, 20, -4, 14]]

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


[User]
What is the rank of the matrix:
[[6, 4, -14, -8],
 [-11, -5, 25, 12],
 [-3, 5, 5, -4],
 [11, 5, -25, -12]]?

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


[User]
Find the rank of the matrix:
[[-15, -1, -18, -12],
 [6, 11, 0, -6],
 [-18, -17, -12, 6],
 [-12, -9, -11, 7]]

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


[User]
Find the rank of the matrix:
[[-9, -4, 13, -7],
 [0, -4, 4, -4],
 [-12, 0, 12, -4],
 [-6, 16, -10, 14]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-4, 7, -7, 2],
 [-20, -1, 1, 1],
 [32, -8, 8, -4],
 [-20, 11, -11, 4]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[13, -7, -6, 8],
 [-8, 8, -6, -4],
 [-9, 11, -12, -4],
 [7, -5, 0, 4]]

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


[User]
Find the rank of the matrix:
[[-8, -1, 0, -22],
 [4, 6, 0, 0],
 [-8, 0, 0, -24],
 [4, 2, 0, 8]]

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


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

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


[User]
Find the rank of the matrix:
[[6, 20, -10, 20],
 [-1, -14, 3, -18],
 [-2, 4, 2, 8],
 [5, 6, -7, 2]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-15, -7, -6, -28],
 [-17, -3, -11, -2],
 [-7, -7, 0, -36],
 [-26, -5, -16, -5]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-13, -10, 4, -14],
 [-13, 14, 10, 4],
 [-1, -14, -16, -18],
 [-14, 0, -6, -14]]

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


[User]
What is the rank of the matrix:
[[-6, 4, -6, 4],
 [21, 4, -3, -7],
 [9, 8, -12, 1],
 [3, -2, 3, -2]]?

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


[User]
Determine the rank of the following matrix:
[[-12, 14, 7, -12],
 [8, -6, 2, 3],
 [8, 2, 18, -9],
 [0, 4, 8, -6]]

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


[User]
What is the rank of the matrix:
[[-16, 20, 21, 10],
 [5, 13, 0, 12],
 [-13, -2, 12, -5],
 [14, -1, -12, 5]]?

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[4, 6, 4, 8],
 [-22, -24, 2, -8],
 [-4, 4, 24, 28],
 [17, 16, -8, -5]]

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


[User]
Determine the rank of the following matrix:
[[4, 8, -16, -20],
 [-4, -8, 10, 14],
 [2, 4, 2, 0],
 [-3, -6, 8, 11]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-4, -16, 4, -28],
 [-2, 4, -13, 19],
 [-11, -16, -24, 0],
 [-2, -12, 7, -25]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[21, -9, 6, 0],
 [-1, -3, 2, -6],
 [6, -6, 4, -6],
 [22, -6, 4, 6]]

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


[User]
Calculate the rank of matrix A where A =
[[-13, -8, -4, 10],
 [3, -5, -1, -5],
 [10, -13, -2, -13],
 [-7, -12, -3, 12]]

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


[User]
Find the rank of the matrix:
[[-15, 6, -3, -9],
 [-11, 7, -6, -10],
 [17, 1, -8, 0],
 [0, 0, 0, 0]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[5, 9, 8, -10],
 [4, 4, 6, -16],
 [11, 8, -21, -2],
 [0, 1, 8, -8]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[8, 5, 4, 18],
 [4, 4, -16, -12],
 [4, 4, -16, -12],
 [0, -1, 12, 14]]

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[0, 0, 0, 0],
 [14, 7, 11, 15],
 [7, 2, 7, 3],
 [-16, -3, -27, 1]]

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


[User]
What is the rank of the matrix:
[[-4, 0, 3, 1],
 [0, -2, -6, 12],
 [16, -2, -18, 8],
 [16, 2, -13, 3]]?

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


[User]
What is the rank of the matrix:
[[-2, -14, -8, 0],
 [7, 25, 13, 4],
 [-4, 20, 14, -8],
 [1, -17, -11, 4]]?

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-20, 11, -2, 13],
 [4, 29, -14, 19],
 [2, -15, 6, -11],
 [-4, -12, 0, -8]]?

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


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

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


[User]
Find the rank of the matrix:
[[-6, -5, -6, -12],
 [8, 8, 7, 16],
 [-3, 0, 3, 9],
 [-8, 20, -28, -16]]

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


[User]
Find the rank of the matrix:
[[-6, -1, -6, -4],
 [0, 5, -4, -6],
 [-1, 4, -7, -9],
 [-4, -24, -12, -8]]

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


[User]
Calculate the rank of matrix A where A =
[[-15, -3, -1, 3],
 [21, -3, 9, 3],
 [-4, 16, -18, -16],
 [10, 14, -12, -14]]

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


[User]
What is the rank of the matrix:
[[-14, 12, 8, -2],
 [3, -4, -3, 2],
 [1, 2, 2, -3],
 [13, -14, -10, 5]]?

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


[User]
Calculate the rank of matrix A where A =
[[-8, -8, 24, 16],
 [0, 1, -3, -3],
 [4, 5, -15, -11],
 [-8, -5, 15, 7]]

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


[User]
Calculate the rank of matrix A where A =
[[21, -4, -6, -3],
 [-24, 0, 8, 0],
 [21, 4, -8, 3],
 [-24, 0, 8, 0]]

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[8, 9, 7, -8],
 [10, 18, 18, -14],
 [9, 11, 5, -6],
 [-6, -12, -10, 7]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-4, -4, 24, -4],
 [0, -15, 12, 5],
 [20, -12, 28, 8],
 [-3, -7, 23, -2]]

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


[User]
Determine the rank of the following matrix:
[[-10, 1, -10, -5],
 [-8, -2, -8, -6],
 [-22, 5, -22, -9],
 [6, -2, 6, 2]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-4, -12, 4, -4],
 [-21, -9, 3, 15],
 [-16, -12, 4, 8],
 [-2, -6, 2, -2]]

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


[User]
Calculate the rank of matrix A where A =
[[-6, 0, 6, -12],
 [1, 1, -5, 1],
 [-6, -2, 14, -10],
 [-4, 0, 4, -8]]

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


[User]
Find the rank of the matrix:
[[-11, -10, 26, 2],
 [-5, -12, 16, -4],
 [10, -4, -4, 8],
 [-10, -10, 22, -2]]

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


[User]
Find the rank of the matrix:
[[-21, -17, 9, 12],
 [12, 11, -9, -12],
 [-3, -3, 3, 4],
 [18, 15, -9, -12]]

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


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

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


[User]
What is the rank of the matrix:
[[1, 12, 10, -5],
 [3, -2, 1, -1],
 [-16, 2, -16, 12],
 [-7, 18, 6, -1]]?

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


[User]
What is the rank of the matrix:
[[-17, -4, -6, -6],
 [20, 14, 18, -9],
 [-7, -10, 4, -9],
 [-4, -10, 6, -9]]?

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],
 [9, -6, 9, 9],
 [3, -2, 3, 3]]

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


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

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


[User]
Determine the rank of the following matrix:
[[12, -11, 0, 7],
 [16, -18, -4, 2],
 [-14, 13, -11, -5],
 [14, -11, 7, 11]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-10, 16, 8, 4],
 [-15, 2, -4, 8],
 [-2, 12, 8, 0],
 [10, -16, -8, -4]]

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


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

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


[User]
Find the rank of the matrix:
[[1, 2, 2, 3],
 [-17, -20, 1, -9],
 [-12, -16, -4, -12],
 [-4, -8, -8, -12]]

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


[User]
Determine the rank of the following matrix:
[[0, 0, 0, 0],
 [-2, 14, 6, 8],
 [2, -18, -8, -11],
 [6, -6, 0, 3]]

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


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

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


[User]
Find the rank of the matrix:
[[-9, -3, 6, 0],
 [-3, 7, 5, -22],
 [-17, 11, 3, -5],
 [-3, 11, -1, -12]]

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


[User]
Find the rank of the matrix:
[[2, -2, -4, 8],
 [8, 2, -12, 22],
 [-10, -10, 12, -20],
 [-7, -13, 6, -8]]

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


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

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


[User]
What is the rank of the matrix:
[[-22, 33, -17, 12],
 [-8, -4, -4, -24],
 [-8, 3, -7, -12],
 [15, -12, 3, 9]]?

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


[User]
Find the rank of the matrix:
[[-7, -18, -17, -8],
 [-13, -10, -16, -19],
 [-2, 0, -6, -4],
 [10, -8, -6, 16]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-28, 8, -20, -4],
 [-6, 0, -2, -6],
 [-3, 22, -9, 7],
 [20, -8, 12, 10]]

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


[User]
What is the rank of the matrix:
[[0, -3, 9, 3],
 [3, 9, 11, 3],
 [-3, -20, -2, 1],
 [12, 14, 14, 6]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[10, -22, 13, 17],
 [5, 5, -13, 3],
 [12, 20, -21, 13],
 [-10, 14, -5, -15]]

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


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

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


[User]
What is the rank of the matrix:
[[0, 3, -9, 6],
 [-8, 20, 20, 16],
 [1, 0, -10, 3],
 [-1, 5, -5, 7]]?

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


[User]
Determine the rank of the following matrix:
[[-2, 10, 3, -4],
 [-10, -2, -4, 4],
 [-11, -7, 10, -2],
 [2, -14, -16, 12]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-8, -7, 0, -11],
 [-1, -2, 4, -11],
 [7, -2, 12, -5],
 [-12, -2, -16, 10]]?

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


[User]
Find the rank of the matrix:
[[-8, -13, -1, 9],
 [-20, -16, 0, -34],
 [14, 10, -1, 14],
 [8, 13, 3, 25]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[12, -10, 17, 8],
 [-10, -12, -7, -6],
 [-12, 8, -14, -10],
 [-1, 1, 0, -2]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[13, -4, -15, -4],
 [-14, 22, 12, 2],
 [-25, -4, 11, 12],
 [-16, -2, 4, 8]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-14, 10, 9, -16],
 [-24, 4, -9, 3],
 [-1, 4, 15, -16],
 [1, -8, 12, -5]]

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


[User]
Calculate the rank of matrix A where A =
[[4, 0, 0, 8],
 [-2, 8, 4, -10],
 [5, 12, 6, 1],
 [-3, -4, -2, -3]]

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


[User]
Find the rank of the matrix:
[[2, 4, 7, 0],
 [-2, 0, 6, -4],
 [2, -16, -18, 20],
 [4, 4, 5, 4]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[17, 6, -8, 12],
 [15, -15, -12, 12],
 [3, -21, -16, 12],
 [-6, -2, 7, -8]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-4, 4, 4, -2],
 [-9, 10, 12, -4],
 [20, -24, -32, 8],
 [4, -4, -4, 2]]

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


[User]
Calculate the rank of matrix A where A =
[[-11, 19, 2, -2],
 [-3, 9, 26, 9],
 [-14, 22, 4, 1],
 [-6, -2, 4, 16]]

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


[User]
What is the rank of the matrix:
[[2, -4, 8, 8],
 [13, 14, 2, 7],
 [-3, 6, -12, -12],
 [-6, -4, -4, -6]]?

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


[User]
Find the rank of the matrix:
[[9, 11, -3, -4],
 [-9, -17, 8, -4],
 [-12, 2, -6, 26],
 [-3, 0, 1, 5]]

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


[User]
Calculate the rank of matrix A where A =
[[-15, 0, 5, 18],
 [12, -3, 23, 14],
 [18, 3, 2, -1],
 [-3, -3, 3, -3]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-6, 12, 15, 0],
 [-8, 10, -4, 0],
 [8, -16, -20, 0],
 [4, -2, 14, 0]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[3, 0, 13, -12],
 [-9, -9, -12, 18],
 [6, 8, 2, -8],
 [-9, -12, -3, 12]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-6, 18, -22, 6],
 [2, -5, 8, -20],
 [12, 0, 0, 3],
 [4, -12, 16, -17]]

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


[User]
Find the rank of the matrix:
[[-11, 12, -6, -10],
 [-10, 16, -1, -11],
 [3, 4, 8, 8],
 [8, -8, 5, 3]]

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


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

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


[User]
What is the rank of the matrix:
[[8, -18, 3, 15],
 [-12, 18, -4, -17],
 [6, -22, 6, 16],
 [8, -8, 9, 8]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-15, 21, -12, 9],
 [16, -20, 18, -14],
 [-16, 20, -18, 14],
 [-8, 17, -8, 0]]

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


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

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


[User]
Determine the rank of the following matrix:
[[2, -5, -11, -14],
 [6, 3, -15, -6],
 [-6, -13, 5, -14],
 [6, 11, -7, 10]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[3, 12, 7, -9],
 [0, 38, 12, -12],
 [17, -5, 11, -25],
 [5, 23, 7, -13]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-2, 4, -4, 15],
 [2, -10, 1, -12],
 [-3, 8, -5, 16],
 [0, 4, 2, -10]]

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


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

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


[User]
Find the rank of the matrix:
[[3, -2, -3, -2],
 [-6, 4, 6, 4],
 [18, -21, -18, 6],
 [-9, 11, 9, -4]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-14, -12, 0, 6],
 [4, -20, 20, 4],
 [9, 2, 16, -9],
 [-11, 7, 11, -14]]

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


[User]
Determine the rank of the following matrix:
[[-7, -4, 13, 4],
 [4, 4, -4, -4],
 [17, 16, -19, -16],
 [-11, -12, 9, 12]]

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


[User]
Find the rank of the matrix:
[[6, 4, -10, 16],
 [-15, -1, 7, -10],
 [15, -2, -1, 0],
 [11, -4, 1, -10]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-4, -16, -8, 0],
 [13, 13, 17, 9],
 [13, 13, 17, 9],
 [3, 12, 6, 0]]?

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


[User]
Calculate the rank of matrix A where A =
[[-3, 1, 3, 8],
 [9, -3, -8, -28],
 [-12, 4, 18, 8],
 [-12, 4, 15, 20]]

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


[User]
Find the rank of the matrix:
[[12, 9, 12, -6],
 [16, 10, 15, -9],
 [-32, -12, 16, 16],
 [-20, -3, 7, 13]]

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


[User]
Determine the rank of the following matrix:
[[7, -20, 12, 4],
 [-5, -8, -3, 25],
 [11, -2, 6, -23],
 [-4, 0, -15, 27]]

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


[User]
Calculate the rank of matrix A where A =
[[2, -4, -3, -3],
 [16, 10, 18, 18],
 [24, 12, 24, 24],
 [14, 2, 9, 9]]

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


[User]
Determine the rank of the following matrix:
[[28, -24, -14, 8],
 [-32, 28, 16, -8],
 [0, 3, 0, 6],
 [-8, 10, 4, 4]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[3, 2, 5, 10],
 [-12, 20, -6, 16],
 [6, 0, 8, 12],
 [-9, 16, -4, 14]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-6, 12, 0, -3],
 [-4, 16, 8, -10],
 [8, -17, -1, 5],
 [6, -9, 0, 4]]

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


[User]
What is the rank of the matrix:
[[-6, 12, 6, -10],
 [-16, 22, 4, -15],
 [3, -4, -21, 14],
 [4, -16, -28, 24]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[5, 12, -8, -3],
 [-4, 24, -14, 6],
 [20, -8, 2, -18],
 [16, -12, 5, -15]]

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


[User]
What is the rank of the matrix:
[[-12, 16, -3, 4],
 [-24, -10, 12, 2],
 [24, -4, -6, -4],
 [-4, -25, 12, -3]]?

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


[User]
What is the rank of the matrix:
[[-4, -4, 4, -8],
 [0, -6, -15, -14],
 [-11, 3, 8, 17],
 [11, -3, 4, -19]]?

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


[User]
Calculate the rank of matrix A where A =
[[-12, 12, 8, 0],
 [3, 6, -9, -12],
 [11, -5, -12, -8],
 [5, -8, -1, 4]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[6, -5, -4, -5],
 [6, -5, 2, 7],
 [0, 6, -2, 2],
 [-3, -11, 13, 11]]

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


[User]
What is the rank of the matrix:
[[-8, 4, 18, -5],
 [12, -12, 8, -4],
 [4, -4, 14, -3],
 [0, 8, 10, 7]]?

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


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

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


[User]
What is the rank of the matrix:
[[13, 8, 12, -9],
 [5, 16, 12, 15],
 [14, 14, 16, -2],
 [10, 11, 12, 0]]?

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


[User]
Calculate the rank of matrix A where A =
[[-2, 9, -19, 9],
 [20, 12, -5, 3],
 [0, -17, 30, -16],
 [26, 2, 2, -12]]

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


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

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


[User]
Find the rank of the matrix:
[[-12, 14, -12, -2],
 [-2, -6, -2, 13],
 [-14, 8, -14, 11],
 [-8, 1, -8, 12]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-2, -14, -12, 14],
 [-14, 0, 7, -12],
 [8, 21, 20, -18],
 [25, 15, 7, 3]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[8, 12, 2, 3],
 [-8, -4, 10, -1],
 [6, 12, 6, 3],
 [0, 8, 12, 2]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-1, 1, 4, -4],
 [3, -3, -12, 12],
 [4, -5, -17, 13],
 [-2, 3, 9, -5]]

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


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

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


[User]
Find the rank of the matrix:
[[-9, -2, -13, -1],
 [-15, -6, -15, -3],
 [7, 6, -1, 3],
 [-4, -8, 12, -4]]

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


[User]
Calculate the rank of matrix A where A =
[[-8, 8, 6, 10],
 [-4, 14, 13, 11],
 [2, -9, -9, -6],
 [24, 6, 2, 2]]

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


[User]
What is the rank of the matrix:
[[9, -12, 9, -3],
 [7, 0, 0, 3],
 [-8, -8, 6, -8],
 [-3, -24, 18, -15]]?

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-5, -12, 6, 12],
 [20, 0, -14, -4],
 [16, 17, -1, -1],
 [-15, -14, 12, 14]]?

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-5, -4, 7, 11],
 [-1, -1, 4, 7],
 [-6, -5, 11, 18],
 [-18, -13, 7, 6]]?

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


[User]
What is the rank of the matrix:
[[8, -28, -20, -25],
 [0, -8, 2, -13],
 [-6, -2, -9, 5],
 [-2, -12, -20, -1]]?

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


[User]
Calculate the rank of matrix A where A =
[[7, -11, -1, -5],
 [2, 8, -8, 2],
 [-4, 10, -2, 4],
 [2, -18, 10, -6]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-16, -8, 8, 12],
 [-1, -2, -1, 12],
 [9, 20, 3, 1],
 [-8, 5, 10, -15]]

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


[User]
Find the rank of the matrix:
[[13, 13, 10, 7],
 [12, 12, -6, -6],
 [-8, -8, -18, -14],
 [-8, -8, 4, 4]]

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


[User]
What is the rank of the matrix:
[[2, -18, -26, -2],
 [9, 6, 18, -3],
 [-2, 14, 16, -7],
 [12, -4, 4, -8]]?

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


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

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


[User]
What is the rank of the matrix:
[[6, 4, -7, 0],
 [9, 12, -6, -6],
 [3, -4, -8, 6],
 [-9, 4, 18, -10]]?

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-6, 1, -10, 12],
 [9, -5, 11, -12],
 [5, 1, 7, -4],
 [5, 4, 7, 0]]

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


[User]
What is the rank of the matrix:
[[-9, -8, 8, 12],
 [12, 14, -14, -21],
 [3, 4, -4, -6],
 [12, 10, -10, -15]]?

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


[User]
What is the rank of the matrix:
[[9, 14, 0, -3],
 [20, 0, 14, 12],
 [17, 2, 11, 9],
 [21, 6, 12, 9]]?

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


[User]
Calculate the rank of matrix A where A =
[[-15, -5, 0, -2],
 [9, -19, 18, -3],
 [7, -5, 6, -2],
 [-13, -8, 3, -3]]

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


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

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


[User]
Determine the rank of the following matrix:
[[8, -12, -6, 13],
 [-1, -17, -26, 20],
 [12, 3, 26, -12],
 [4, -6, 4, -4]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-3, -5, -4, -7],
 [-4, 0, -12, -16],
 [0, -8, 8, 8],
 [0, 8, -8, -8]]

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


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

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


[User]
Find the rank of the matrix:
[[0, -17, -28, 12],
 [-6, -3, -13, 28],
 [-6, 3, -9, 12],
 [0, 8, 16, 0]]

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


[User]
Find the rank of the matrix:
[[6, 13, 8, -19],
 [-8, 13, 18, -7],
 [4, -9, -1, -6],
 [13, 4, -5, -16]]

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


[User]
Find the rank of the matrix:
[[-7, -5, 8, 3],
 [-7, -5, 8, 3],
 [-11, -10, 4, 4],
 [-7, -5, 8, 3]]

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


[User]
Determine the rank of the following matrix:
[[4, -11, -8, 2],
 [5, 0, -10, -14],
 [-4, 11, 8, -2],
 [-3, -3, 6, 12]]

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-12, -3, -12, -3],
 [12, 3, 12, 3],
 [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:
[[-14, -10, 1, 21],
 [6, 5, 0, -3],
 [-6, -6, 3, 0],
 [14, 11, 0, -12]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-8, -2, -2, 2],
 [0, -8, 0, 0],
 [-20, 1, -5, 5],
 [16, 0, 4, -4]]?

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


[User]
Determine the rank of the following matrix:
[[-15, -1, -3, -18],
 [21, 0, 4, 25],
 [18, -3, 3, 21],
 [-18, 3, -3, -21]]

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


[User]
Find the rank of the matrix:
[[-22, 0, 8, 12],
 [4, 30, -31, 2],
 [17, -2, -3, -8],
 [-10, 9, -5, 7]]

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


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

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


[User]
Find the rank of the matrix:
[[16, -4, 12, 16],
 [12, 6, 14, 6],
 [-10, 16, 0, -19],
 [0, 9, 5, -6]]

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


[User]
Find the rank of the matrix:
[[0, 8, -5, 12],
 [9, -14, 2, -21],
 [-1, -2, 2, -3],
 [-5, 6, 0, 9]]

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[34, 0, 2, -5],
 [10, -10, 8, -3],
 [2, -16, 10, 1],
 [16, 12, -4, -8]]

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


[User]
What is the rank of the matrix:
[[1, -11, 2, 4],
 [6, 3, -2, 6],
 [-14, -1, -18, -22],
 [5, 5, 10, 8]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[7, -11, 11, -1],
 [8, -12, 12, -4],
 [4, -4, 4, -12],
 [0, 1, -1, -5]]

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


[User]
What is the rank of the matrix:
[[-36, -4, -10, -8],
 [2, 0, 29, -10],
 [36, -2, 22, -2],
 [12, 16, 16, 12]]?

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


[User]
What is the rank of the matrix:
[[14, -9, -5, 2],
 [0, 9, 3, -12],
 [0, -1, 12, -14],
 [6, -4, -11, 12]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[-9, 4, -25, 9],
 [6, 1, 2, -6],
 [12, 3, 0, -12],
 [3, 3, -9, -3]]

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


[User]
What is the rank of the matrix:
[[4, 6, -2, 0],
 [0, 2, -4, 4],
 [6, 7, -5, 4],
 [12, 14, -10, 8]]?

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


[User]
Find the rank of the matrix:
[[6, -2, 6, 0],
 [4, 6, -4, 8],
 [2, 3, -2, 4],
 [2, 14, -14, 16]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-2, 4, 2, -2],
 [-14, -20, -18, 10],
 [-16, -28, -24, 14],
 [-16, -16, -16, 8]]

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


[User]
Calculate the rank of matrix A where A =
[[0, -6, -2, 4],
 [16, 4, 6, -6],
 [-12, 21, -5, -14],
 [0, 3, 1, -2]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[9, -8, -2, -11],
 [13, 4, 10, 1],
 [8, 4, 16, 3],
 [-9, -2, 16, 2]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[17, 2, -16, 16],
 [-6, -4, 4, -11],
 [-10, 4, 12, -1],
 [4, 8, 0, 16]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-12, 16, 12, -16],
 [1, -10, -3, 2],
 [-9, -1, 6, -11],
 [-16, 4, 12, -20]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[5, -3, -2, -9],
 [10, 8, -2, -4],
 [-7, -27, 2, -17],
 [18, 1, 5, -16]]

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


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

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


[User]
Determine the rank of the following matrix:
[[28, -13, -11, 20],
 [32, -16, -12, 24],
 [-4, 9, -2, -10],
 [0, -6, 3, 6]]

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


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

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


[User]
What is the rank of the matrix:
[[13, 10, 11, 9],
 [-5, -2, -1, -3],
 [-6, -8, -11, -5],
 [0, 0, 0, 0]]?

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


[User]
What is the rank of the matrix:
[[-10, -3, 14, -27],
 [-10, 7, -15, 23],
 [11, -2, 4, -3],
 [-16, 5, -12, 15]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[-10, 2, -6, 9],
 [6, 10, 20, -4],
 [-9, -5, -16, 8],
 [-3, -10, -17, 1]]

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


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

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


[User]
Find the rank of the matrix:
[[17, -12, -12, 1],
 [-18, 14, -8, -14],
 [-13, 10, -6, -9],
 [6, -5, 11, 8]]

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


[User]
Determine the rank of the following matrix:
[[12, -7, 7, 10],
 [0, -8, 8, 8],
 [4, -1, 1, 2],
 [-20, 13, -13, -18]]

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


[User]
Calculate the rank of matrix A where A =
[[-12, 32, 28, 24],
 [12, -9, 0, -12],
 [-3, -14, -16, 0],
 [-12, 16, 6, 12]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[9, -6, -9, -15],
 [-9, 5, 11, 16],
 [9, -7, -7, -14],
 [-6, 8, -2, 6]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[18, 15, 16, 1],
 [0, -9, 5, 11],
 [8, 6, -2, 6],
 [-12, -9, 11, -13]]?

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


[User]
What is the rank of the matrix:
[[-9, -21, 12, 21],
 [-17, -21, 2, 6],
 [5, 11, -2, -14],
 [-9, -1, -18, -8]]?

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


[User]
Find the rank of the matrix:
[[0, -4, 12, -14],
 [1, 10, -8, 12],
 [-22, -2, -10, -8],
 [8, 4, 8, -1]]

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


[User]
Calculate the rank of matrix A where A =
[[0, 8, -6, -2],
 [4, -10, 6, 1],
 [9, -2, -5, -2],
 [-2, -4, -15, 7]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-1, 12, 11, -16],
 [0, 3, 3, -3],
 [1, -12, -11, 16],
 [-2, -12, -14, 4]]

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-17, -5, 10, 2],
 [-12, -10, 16, -4],
 [-21, -4, 9, 4],
 [-16, 1, -4, 2]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[3, -6, 3, 25],
 [-1, 1, 0, -7],
 [-3, -9, 12, -5],
 [0, 6, -6, -8]]

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


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

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


[User]
What is the rank of the matrix:
[[-2, 4, -12, 14],
 [-4, -12, 24, 0],
 [7, 5, -18, 24],
 [14, 13, -27, 0]]?

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


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

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


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

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


[User]
Find the rank of the matrix:
[[15, -15, -10, 3],
 [12, -12, -6, 0],
 [-9, 9, 22, -21],
 [0, 0, 0, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[16, -2, -2, -2],
 [4, -1, -11, 6],
 [19, 20, -5, 24],
 [3, -10, 25, -28]]

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


[User]
Calculate the rank of matrix A where A =
[[-3, 7, -14, -14],
 [0, -6, 12, 3],
 [-3, -1, 2, -10],
 [-1, 3, -6, -5]]

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


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

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-14, -19, 7, 7],
 [-15, 17, 15, 7],
 [22, -20, -20, -10],
 [-30, 1, 19, 13]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-6, 14, 12, 7],
 [5, 6, 2, 6],
 [-1, 4, 2, 2],
 [-14, -3, -10, -11]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[3, 12, 3, 15],
 [9, 6, -11, 10],
 [4, 16, 4, 20],
 [-2, -8, -2, -10]]

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


[User]
Calculate the rank of matrix A where A =
[[3, -12, -18, 0],
 [-3, 12, 17, -4],
 [1, -2, -4, -6],
 [3, 4, 11, 4]]

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


[User]
Determine the rank of the following matrix:
[[-4, -4, 6, -2],
 [4, -4, 3, 5],
 [-9, 3, 0, -9],
 [15, -13, 9, 18]]

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


[User]
Calculate the rank of matrix A where A =
[[14, -13, 3, 14],
 [-4, -12, -4, -4],
 [4, -8, 0, 4],
 [6, -2, 2, 6]]

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-15, -28, 16, -28],
 [-2, -10, 7, 4],
 [-6, 18, -21, 0],
 [-13, -20, 8, -4]]

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


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

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


[User]
Find the rank of the matrix:
[[-10, 5, 11, -3],
 [-1, -4, -1, 3],
 [-16, 11, 19, -7],
 [0, -15, -7, 11]]

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


[User]
Calculate the rank of matrix A where A =
[[-8, 4, 16, 2],
 [0, 8, 0, -14],
 [-6, 1, 12, 5],
 [2, 13, -4, -25]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-1, -10, -9, 11],
 [-1, 4, 3, -3],
 [-1, -24, -21, 25],
 [6, 4, 6, -10]]?

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


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

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


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

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[13, -7, 14, -1],
 [-26, 20, -23, 13],
 [25, -25, 21, -12],
 [-21, 18, -19, 8]]

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


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

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


[User]
What is the rank of the matrix:
[[-4, 1, -14, -1],
 [3, 9, -3, 6],
 [-1, 10, -17, 5],
 [0, 1, -4, 1]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[6, 3, 1, 4],
 [10, 12, -10, 9],
 [-2, -12, -12, -15],
 [-14, -30, 6, -27]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-4, 2, -20, -4],
 [-10, -10, -2, 2],
 [5, 0, 17, 3],
 [-10, -5, -18, -2]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-9, 1, -5, -11],
 [0, 16, 24, 32],
 [0, 4, 2, 6],
 [0, 6, 7, 11]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[14, -16, -8, -20],
 [-15, 0, 0, 15],
 [6, 16, 8, 0],
 [-22, 14, 4, 26]]

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


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

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


[User]
Find the rank of the matrix:
[[-8, -16, -4, -3],
 [-16, -20, -8, -9],
 [14, 1, 7, 10],
 [6, -3, 3, 12]]

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


[User]
What is the rank of the matrix:
[[-25, 1, -9, 30],
 [5, -9, 9, -6],
 [13, 20, -6, -24],
 [6, 5, -3, -6]]?

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


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

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


[User]
What is the rank of the matrix:
[[18, 6, 15, 0],
 [-22, -5, -18, 1],
 [0, -14, -2, -6],
 [-18, 1, -14, 3]]?

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


[User]
Determine the rank of the following matrix:
[[3, 6, 21, -14],
 [0, -3, -3, 2],
 [3, 0, 15, -10],
 [0, -12, -12, 8]]

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


[User]
Determine the rank of the following matrix:
[[10, 19, -5, -4],
 [23, 25, -9, 1],
 [-8, -8, 4, 2],
 [-7, -9, 1, -5]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[4, -2, -26, 2],
 [13, 0, -10, 8],
 [-12, -5, -5, -1],
 [16, 0, 0, 12]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-8, -5, 11, 3],
 [12, -3, 1, -3],
 [-18, -23, 14, -12],
 [-9, -3, 8, 3]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[12, -8, -16, 24],
 [-9, 6, 12, -18],
 [3, -3, -6, 6],
 [8, -6, -12, 16]]

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


[User]
What is the rank of the matrix:
[[1, -8, -10, -6],
 [3, 0, -1, -16],
 [1, -4, -4, -6],
 [-1, 3, -1, 7]]?

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-6, 6, 7, -19],
 [-9, 10, 2, -12],
 [-17, 23, -7, -8],
 [15, -22, 7, 9]]

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-3, 0, 17, -27],
 [-14, 6, -16, 6],
 [9, -18, 25, -15],
 [-3, -9, -1, 5]]?

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


[User]
Determine the rank of the following matrix:
[[-18, -1, 6, -12],
 [-12, -3, 3, -9],
 [-6, 2, 3, -3],
 [0, -7, -3, -3]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-12, 10, -5, -2],
 [-4, 8, -8, -3],
 [-6, 8, -5, 3],
 [5, -11, 11, 3]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[24, 12, -32, -8],
 [25, 9, 4, 8],
 [2, 0, 8, 4],
 [-15, -6, 4, -2]]

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


[User]
Calculate the rank of matrix A where A =
[[9, -9, 6, -6],
 [16, -10, 11, -6],
 [-8, 14, -5, 10],
 [-21, 3, -15, 0]]

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


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

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


[User]
Find the rank of the matrix:
[[-1, -5, 3, 1],
 [13, -15, -12, -12],
 [-21, -21, 9, 0],
 [8, 12, -6, -1]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-15, -6, -20, -20],
 [16, -16, -8, 15],
 [-12, 12, -8, 8],
 [-16, -8, -24, -21]]

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


[User]
What is the rank of the matrix:
[[-22, -12, 9, 21],
 [-14, -9, 8, 12],
 [2, 0, 1, -3],
 [-10, -9, 10, 6]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[-8, -12, -16, 16],
 [-14, -1, 12, -2],
 [16, 0, -16, 4],
 [22, 5, -12, -2]]

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


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

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


[User]
Find the rank of the matrix:
[[4, 2, 10, 10],
 [-12, 14, -20, -10],
 [4, -10, 4, -2],
 [-4, 4, -7, -4]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-4, 24, -4, -18],
 [0, 32, -12, -24],
 [14, -4, -16, 3],
 [-6, -20, 15, 15]]

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


[User]
What is the rank of the matrix:
[[1, 8, -12, -28],
 [1, -4, 6, 20],
 [-3, -4, 6, 4],
 [-1, 2, -3, -12]]?

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


[User]
Find the rank of the matrix:
[[-23, -3, 0, 11],
 [5, 8, -16, 6],
 [16, 18, 4, -2],
 [-5, -14, 11, -7]]

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


[User]
What is the rank of the matrix:
[[-3, 0, 14, 11],
 [-8, 0, 14, 6],
 [1, 0, -8, -7],
 [-12, 0, 6, -6]]?

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


[User]
Determine the rank of the following matrix:
[[0, 1, 11, 9],
 [-8, -3, 3, 7],
 [8, 3, 6, -1],
 [28, 14, -5, -15]]

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


[User]
What is the rank of the matrix:
[[0, 16, 8, 8],
 [8, 4, 0, 2],
 [16, 8, 0, 4],
 [-4, -8, -3, -4]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[12, 0, -7, 10],
 [-1, 11, 6, 5],
 [-16, -8, 4, -16],
 [27, -3, -12, 15]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[0, -9, 6, -1],
 [0, -9, 9, 12],
 [0, -11, 12, 19],
 [0, -6, 6, 8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[0, 12, 0, -4],
 [0, 9, 0, -3],
 [0, 9, 0, -3],
 [0, 6, 0, -2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[0, 6, 0, 6],
 [0, 7, -4, 6],
 [0, -7, 12, -4],
 [0, 0, 8, 2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[7, -12, 5, -8],
 [-10, -24, -2, -4],
 [10, -8, 6, -8],
 [-3, 12, -3, 6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[2, 10, 6, -7],
 [16, 14, 18, 19],
 [-4, -8, -24, -4],
 [4, 6, 18, 5]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-2, -4, 0, 2],
 [-8, -13, -1, 4],
 [-2, -16, 4, 18],
 [4, 17, -3, -16]]

Present the answer in LaTex format: \boxed{Your answer}