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

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


[User]
Compute the rank of the given 4x4 matrix:
[[14, 0, -2, 0],
 [-3, -8, -9, 4],
 [-12, 12, 14, -6],
 [-18, -4, -4, 2]]

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


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

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


[User]
Determine the rank of the following matrix:
[[3, -15, 9, 12],
 [9, -15, 33, 6],
 [-2, -13, 16, -6],
 [-5, 13, -25, -2]]

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


[User]
Determine the rank of the following matrix:
[[-24, -24, 10, -10],
 [20, 16, 3, -13],
 [0, -1, -8, 12],
 [0, 2, 11, -16]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[4, -6, 20, 18],
 [1, -2, 7, 25],
 [4, 14, -13, -3],
 [4, -2, 14, 24]]?

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


[User]
Determine the rank of the following matrix:
[[12, 2, 14, 6],
 [16, 4, 18, 9],
 [-16, 4, -22, -3],
 [-12, -10, -10, -12]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[3, 3, 7, 11],
 [3, -2, -18, -24],
 [-6, -6, -14, -22],
 [3, 0, -8, -10]]

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


[User]
Calculate the rank of matrix A where A =
[[24, 20, 2, -6],
 [-28, -26, 0, 9],
 [-4, 24, 14, 6],
 [8, -20, -21, -12]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-2, 7, -8, -14],
 [9, -6, -15, 12],
 [7, -2, -17, 4],
 [5, 2, -19, -4]]

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[5, 7, -7, 2],
 [17, 16, -19, 2],
 [-17, -16, 19, -2],
 [-16, -25, 24, -8]]

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


[User]
Determine the rank of the following matrix:
[[-6, -8, -8, -8],
 [-8, -10, -16, -6],
 [0, -1, 8, -7],
 [-2, -3, 0, -5]]

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


[User]
Determine the rank of the following matrix:
[[-3, 17, 6, -1],
 [5, -9, 5, -7],
 [-2, 8, -23, 24],
 [2, 13, 22, -17]]

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


[User]
Determine the rank of the following matrix:
[[9, 20, 7, 16],
 [-1, -12, -2, -14],
 [3, 12, 3, 12],
 [-6, 0, -3, 6]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[8, 4, 6, 6],
 [-20, -12, -20, -8],
 [11, 9, 17, -4],
 [20, 12, 20, 8]]

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


[User]
Determine the rank of the following matrix:
[[7, -1, 5, 12],
 [5, 4, -3, 15],
 [-11, -5, 1, -16],
 [10, 2, 3, -3]]

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


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

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


[User]
Determine the rank of the following matrix:
[[4, 2, 8, 4],
 [-12, -4, -8, -16],
 [7, 4, 18, 6],
 [-6, -3, -12, -6]]

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


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

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


[User]
What is the rank of the matrix:
[[-2, 3, 2, -1],
 [-9, 3, 0, -12],
 [8, 2, 4, 14],
 [18, -13, -6, 19]]?

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[6, -24, -2, 2],
 [1, -4, 3, -1],
 [-4, 16, -2, 0],
 [-1, 4, 2, -1]]

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-6, -9, 11, 12],
 [0, -12, 20, 0],
 [-6, 0, -4, 12],
 [2, 11, -17, -4]]?

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


[User]
Find the rank of the matrix:
[[0, 16, -1, -5],
 [6, -8, 2, 1],
 [15, -36, 5, 7],
 [4, 0, -7, -5]]

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


[User]
What is the rank of the matrix:
[[1, -4, -6, -17],
 [-3, 12, 6, 3],
 [-3, 12, 6, 3],
 [-2, 8, 7, 14]]?

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-8, -6, 8, 8],
 [16, -4, -13, -1],
 [-9, 11, 1, -8],
 [6, 10, -5, -11]]

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


[User]
Find the rank of the matrix:
[[20, 20, 0, 1],
 [16, 16, -3, 4],
 [10, 10, -12, 22],
 [-14, -14, 6, -2]]

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


[User]
Find the rank of the matrix:
[[18, 17, 12, -7],
 [4, 3, 4, -3],
 [-3, 3, -12, 12],
 [3, 4, 0, 1]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-21, -18, -19, -3],
 [12, 10, 10, 0],
 [-3, -6, -13, -21],
 [6, 8, 14, 18]]

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


[User]
Calculate the rank of matrix A where A =
[[4, -14, 8, 0],
 [-18, 11, -20, 16],
 [0, 0, 0, 0],
 [-18, 11, -20, 16]]

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


[User]
What is the rank of the matrix:
[[2, 10, 0, 0],
 [-16, -14, 0, -12],
 [-15, -5, 9, 2],
 [9, 17, 3, 10]]?

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-13, 19, 4, -7],
 [15, -16, -10, 0],
 [12, -15, -6, 3],
 [-6, 2, 8, 6]]

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


[User]
Calculate the rank of matrix A where A =
[[0, 16, 16, -8],
 [4, -10, 2, -2],
 [-18, 3, 9, 10],
 [20, 28, -17, -14]]

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


[User]
Calculate the rank of matrix A where A =
[[0, 6, 8, -4],
 [20, 1, 18, -4],
 [14, 1, 13, -3],
 [-8, -4, -12, 4]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-16, 4, -2, 3],
 [10, 14, -16, -13],
 [-16, -4, 10, 14],
 [4, 10, -7, -2]]

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


[User]
What is the rank of the matrix:
[[-1, -14, 18, 1],
 [-4, -24, 28, -4],
 [1, 6, -7, 1],
 [-8, -16, 12, -16]]?

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


[User]
Calculate the rank of matrix A where A =
[[-8, 1, 7, 8],
 [10, 0, -10, -12],
 [14, -8, -6, -4],
 [10, -5, -5, -4]]

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


[User]
What is the rank of the matrix:
[[0, 0, -11, 12],
 [-8, -11, -1, -8],
 [0, 1, -2, 4],
 [12, -17, -14, -32]]?

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


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

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[0, 7, 3, 7],
 [20, 6, -6, 1],
 [-20, -13, 3, -8],
 [-16, -9, 3, -5]]

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


[User]
What is the rank of the matrix:
[[5, 12, -4, 4],
 [4, 0, 4, -16],
 [-4, -16, 8, -16],
 [7, 20, -8, 12]]?

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


[User]
Determine the rank of the following matrix:
[[7, 15, -4, -13],
 [2, 6, -2, -8],
 [1, 9, -4, -19],
 [3, 1, 1, 8]]

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


[User]
Find the rank of the matrix:
[[-2, 5, -4, 2],
 [12, 6, -12, -12],
 [-24, -4, 16, 24],
 [0, 0, 0, 0]]

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


[User]
Find the rank of the matrix:
[[1, 10, 14, 12],
 [-6, 12, 12, 8],
 [26, -16, 1, -3],
 [3, 6, 9, 11]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-22, 14, -1, -3],
 [-11, 6, 2, -3],
 [9, -5, 0, 1],
 [-12, 9, -11, 7]]

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


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

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


[User]
Determine the rank of the following matrix:
[[1, -8, 5, -3],
 [-11, 8, 1, -7],
 [2, -6, 3, -1],
 [-13, 14, -2, -6]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-7, -10, -13, -13],
 [2, -5, 7, 7],
 [9, -1, 14, 14],
 [-9, -2, -11, -11]]

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


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

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-12, -6, -6, -12],
 [0, 14, -2, -12],
 [13, 10, 6, 10],
 [12, -8, 8, 24]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-4, -7, -6, 5],
 [-16, -18, -14, 5],
 [-12, -9, -6, -3],
 [0, 2, 2, -3]]

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


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

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-13, -14, -9, 0],
 [2, 14, -6, -12],
 [-6, 2, 6, 0],
 [1, 5, 0, -3]]

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


[User]
Find the rank of the matrix:
[[-9, 4, -11, 0],
 [3, -10, -5, 13],
 [-12, 12, -8, -10],
 [6, -16, -6, 20]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[10, 8, -14, 0],
 [1, 5, -5, 0],
 [-10, 6, 2, 0],
 [-13, -2, 11, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[-2, 5, 1, 1],
 [20, -2, 2, 8],
 [14, -3, 1, 5],
 [2, -9, 17, -8]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[14, 13, 17, 13],
 [10, 10, 8, 13],
 [10, 9, 9, 11],
 [8, 8, 10, 8]]

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


[User]
Determine the rank of the following matrix:
[[2, -2, -15, 8],
 [-6, -3, 14, -5],
 [2, -2, -1, 0],
 [7, 5, 4, -6]]

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


[User]
Determine the rank of the following matrix:
[[-21, 8, -4, 13],
 [-9, -3, -12, 12],
 [0, 5, 8, -5],
 [21, -13, -4, -8]]

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


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

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


[User]
What is the rank of the matrix:
[[-2, 12, -10, 14],
 [-4, 16, -14, 18],
 [1, -6, 5, -7],
 [-2, 12, -10, 14]]?

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


[User]
Calculate the rank of matrix A where A =
[[6, -8, -4, 20],
 [-16, 0, 14, -24],
 [0, -16, 5, 12],
 [11, 18, -14, -2]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-2, 11, 3, 16],
 [-27, 7, 26, 13],
 [-19, 3, 19, 4],
 [-2, -4, -1, 1]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[1, 12, 14, 11],
 [19, 6, -5, -13],
 [-13, -8, -14, 5],
 [-14, -16, -6, -2]]

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


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

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


[User]
Find the rank of the matrix:
[[-2, 2, 4, -2],
 [0, 8, 12, 4],
 [-2, 6, 10, 0],
 [12, -8, -18, 14]]

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


[User]
Find the rank of the matrix:
[[-3, -6, -12, -15],
 [-12, -7, -12, -12],
 [6, -1, 8, 18],
 [15, -24, -14, 9]]

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


[User]
Calculate the rank of matrix A where A =
[[-6, 4, -7, 5],
 [-3, -3, -6, -5],
 [12, 0, 18, 2],
 [3, -5, 2, -7]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[7, 2, 1, 2],
 [21, -5, 0, 22],
 [-19, -13, -19, -2],
 [14, -8, -4, 20]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-4, 0, 4, -24],
 [-4, -20, 19, -14],
 [-1, -4, 4, -4],
 [-1, -20, 16, 4]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[21, 16, -1, -10],
 [-2, 8, 17, -5],
 [26, 18, 5, -13],
 [-5, -4, -19, 6]]?

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[24, 24, 12, 10],
 [16, 16, 9, 9],
 [36, 36, 9, 10],
 [0, 0, 9, 5]]

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


[User]
Calculate the rank of matrix A where A =
[[16, 12, -12, -7],
 [0, 24, -12, -3],
 [12, 0, -4, -4],
 [-2, 4, 2, 1]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-9, -3, -3, -3],
 [6, 2, 2, 2],
 [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 =
[[-1, 1, -2, 3],
 [3, 3, 8, -11],
 [-2, -4, -6, 8],
 [7, 2, 17, -24]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-9, 3, 1, 14],
 [13, -1, 13, 2],
 [-25, 4, -16, 10],
 [2, 1, 7, 8]]

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


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

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


[User]
Find the rank of the matrix:
[[-1, 1, -3, 16],
 [13, 5, -13, 16],
 [5, 3, -6, 11],
 [-4, 15, 9, -13]]

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


[User]
Find the rank of the matrix:
[[-14, -17, 26, 9],
 [0, -12, 24, 4],
 [8, -10, 16, 10],
 [-10, 11, -23, -6]]

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


[User]
Find the rank of the matrix:
[[14, 8, 11, -18],
 [-18, -9, -15, 21],
 [10, 9, 12, -21],
 [16, -3, 8, 5]]

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


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

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-11, -17, 16, -13],
 [11, 2, -20, -3],
 [-10, -1, -14, 6],
 [-16, -7, 1, 2]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-4, -1, -4, 3],
 [-1, 10, -4, -4],
 [4, 5, -8, 1],
 [-22, 14, -25, 6]]

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


[User]
Calculate the rank of matrix A where A =
[[-12, 6, -8, 8],
 [-14, -8, -8, 14],
 [-9, 12, -6, 3],
 [4, 8, 0, -4]]

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[20, 10, -2, -5],
 [-12, -6, 0, 6],
 [0, 0, -2, 5],
 [0, 0, 0, 0]]

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


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

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


[User]
Find the rank of the matrix:
[[14, -12, 5, 9],
 [8, -12, -1, -9],
 [-8, 12, 1, 9],
 [-17, 16, -5, -7]]

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


[User]
What is the rank of the matrix:
[[2, -2, -7, 8],
 [-10, 6, 18, -20],
 [-8, 6, 22, -24],
 [-4, -2, 6, 0]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[-12, -9, -9, -5],
 [1, 9, -4, -2],
 [-14, -18, -4, -4],
 [-19, -12, -7, -10]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[1, 8, -2, 3],
 [6, -16, 6, -8],
 [18, 4, 18, 14],
 [-24, 12, -11, 9]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[0, 8, -4, 12],
 [0, -8, 4, -12],
 [10, 16, -13, 14],
 [-2, 4, -1, 8]]

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


[User]
Find the rank of the matrix:
[[-8, -12, 12, 4],
 [20, 7, -12, -1],
 [-10, 3, 3, -5],
 [10, 8, -9, -3]]

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


[User]
Find the rank of the matrix:
[[-6, -3, -4, -16],
 [-4, -9, -12, -6],
 [0, 6, 8, -4],
 [-5, -3, -4, -13]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[6, -1, 2, 5],
 [0, 10, 16, -14],
 [-12, 12, -8, 4],
 [-15, 25, 6, -9]]?

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-4, 17, -5, -10],
 [-4, -4, 1, 2],
 [0, 28, -8, -16],
 [-28, 0, -1, -2]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[13, 19, 13, 1],
 [-6, -17, -15, -6],
 [9, 9, 6, -2],
 [-1, 8, 5, 6]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[2, 13, -16, -12],
 [12, -1, -8, -2],
 [-7, 2, 4, -1],
 [18, -27, 16, 20]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-2, 6, -3, -4],
 [8, -4, 1, -3],
 [-22, 13, -7, 14],
 [-10, 31, -25, 2]]

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


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

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


[User]
What is the rank of the matrix:
[[-22, -6, -2, 9],
 [-13, -12, -17, -4],
 [22, 6, 2, -9],
 [3, -14, 19, 19]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[-1, -1, -3, -1],
 [-4, 10, 18, 4],
 [11, -10, -12, -1],
 [2, -5, -9, -2]]

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[14, -6, 11, 4],
 [5, 0, -28, -13],
 [-16, 8, 20, -4],
 [4, -2, -11, 0]]

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


[User]
Find the rank of the matrix:
[[-12, 16, 12, -4],
 [9, -10, -3, 10],
 [4, -23, -9, 1],
 [-7, 15, 8, -3]]

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


[User]
Calculate the rank of matrix A where A =
[[17, 19, -7, -3],
 [-16, -25, 11, 6],
 [-13, -24, 13, 9],
 [15, -8, 1, -3]]

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


[User]
Find the rank of the matrix:
[[-17, -11, 18, -1],
 [-1, -8, -10, 15],
 [-22, -23, -4, 24],
 [6, 11, 2, -13]]

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


[User]
Calculate the rank of matrix A where A =
[[7, -26, 26, -3],
 [-15, 4, -4, -4],
 [-6, 8, -8, 0],
 [-12, -4, 4, -4]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[4, -6, 11, -2],
 [4, -10, -14, 19],
 [0, -10, 9, -6],
 [-1, 8, 20, -19]]

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


[User]
What is the rank of the matrix:
[[15, 9, 6, 1],
 [-14, 10, 0, -14],
 [17, -1, 12, 11],
 [-13, 5, 3, -9]]?

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


[User]
Find the rank of the matrix:
[[-1, -14, 3, 8],
 [-7, 1, 10, 1],
 [5, 16, -9, -10],
 [3, -3, -4, 1]]

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


[User]
What is the rank of the matrix:
[[-4, 6, -10, 3],
 [-2, -11, -2, -1],
 [-2, 8, -8, 4],
 [4, 10, -14, 17]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[1, 0, 5, 2],
 [-8, 6, -6, -4],
 [7, -6, 1, 2],
 [16, -15, -5, 2]]

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


[User]
What is the rank of the matrix:
[[-15, -2, 6, -21],
 [-12, -10, 2, -14],
 [-2, -14, -6, -2],
 [-20, -10, 10, -18]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[-7, -10, -10, 2],
 [3, 6, 18, -6],
 [-5, -6, 2, -2],
 [-6, -9, -12, 3]]

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


[User]
Find the rank of the matrix:
[[5, 10, 10, 4],
 [7, -2, 6, 4],
 [1, 14, 8, 2],
 [-14, -16, -22, -10]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[0, 0, 0, 2],
 [-15, 0, -10, 7],
 [-21, 0, -14, 15],
 [-9, 0, -6, 1]]

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


[User]
Determine the rank of the following matrix:
[[-14, 13, 12, -7],
 [2, 1, 4, 11],
 [-18, 19, 20, -1],
 [-6, 7, 8, 2]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-18, -6, -6, 12],
 [-18, -12, -6, 12],
 [18, 12, 6, -12],
 [-15, -8, -5, 10]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-4, 20, -28, 24],
 [1, 7, -15, 12],
 [-4, 2, 5, -3],
 [-2, 10, -14, 12]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-1, -4, 0, 1],
 [-1, -4, 6, -5],
 [4, 16, -14, 10],
 [-3, -12, 12, -9]]

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


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

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[4, -20, 8, 24],
 [-12, 0, -14, 3],
 [-10, 14, -14, -15],
 [-7, -1, -8, 3]]

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


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

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


[User]
Find the rank of the matrix:
[[3, -14, 5, 1],
 [17, 8, 3, -17],
 [17, -4, 19, -7],
 [-8, 18, -12, 0]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[3, -3, 1, 1],
 [12, -18, -4, 8],
 [-6, 12, 6, -6],
 [-3, 9, 7, -5]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[10, 6, -1, -5],
 [-12, 7, 5, 10],
 [-20, -10, 6, 12],
 [12, 8, -16, -12]]?

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


[User]
Calculate the rank of matrix A where A =
[[-8, -10, -8, 0],
 [12, -3, 16, 7],
 [8, -8, 12, 7],
 [-12, 0, -12, 9]]

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


[User]
Calculate the rank of matrix A where A =
[[6, 1, 2, 11],
 [0, -16, 9, -17],
 [0, -12, 6, -6],
 [4, -2, 4, -6]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-8, 8, -6, -4],
 [4, -6, -4, -2],
 [-22, 25, -6, -5],
 [10, -13, -3, -1]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-9, -12, -10, -13],
 [-3, -6, -8, -5],
 [10, 12, 8, 14],
 [-7, -6, 0, -9]]

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


[User]
Calculate the rank of matrix A where A =
[[7, -8, -9, -5],
 [0, -1, -9, -5],
 [7, 9, 6, 2],
 [-25, -19, -5, 1]]

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


[User]
Calculate the rank of matrix A where A =
[[-7, -3, 6, 5],
 [5, -7, -10, 1],
 [-17, -12, -3, 21],
 [12, 2, -10, -8]]

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


[User]
Find the rank of the matrix:
[[7, 9, 11, 2],
 [-17, 6, -1, -7],
 [-17, 6, -1, -7],
 [-3, -15, -15, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[-3, 5, -6, 2],
 [2, 6, 4, 1],
 [-3, -19, -6, -4],
 [-3, -11, -6, -2]]

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


[User]
Calculate the rank of matrix A where A =
[[-8, 13, -15, 4],
 [-10, -5, 20, 0],
 [-10, 3, 28, 32],
 [10, -7, -2, -8]]

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


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

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[12, 22, -8, 12],
 [6, 14, -4, 6],
 [6, 14, -4, 6],
 [12, 19, -8, 12]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[6, -6, 0, -3],
 [-15, 22, -14, -17],
 [5, -4, -2, -6],
 [-2, 4, -4, -6]]

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


[User]
Determine the rank of the following matrix:
[[15, 33, 26, -20],
 [1, 18, 11, -14],
 [-7, -11, -10, 6],
 [1, -24, -19, 22]]

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


[User]
What is the rank of the matrix:
[[20, -17, -8, -14],
 [-12, 10, 13, 8],
 [8, -11, 1, -7],
 [-12, -25, 8, -2]]?

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


[User]
Determine the rank of the following matrix:
[[-19, -9, -5, -6],
 [-6, -2, 6, -4],
 [25, 11, -1, 10],
 [-8, -4, -4, -2]]

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


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

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


[User]
What is the rank of the matrix:
[[-9, 7, 6, -1],
 [1, 21, 2, 1],
 [-4, 24, -2, 14],
 [3, -19, 8, -23]]?

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-13, 2, 24, -13],
 [-8, 4, 6, -2],
 [12, -12, 10, -10],
 [10, -2, -17, 9]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[0, 6, -6, -6],
 [3, 3, 3, 0],
 [2, 8, -4, -6],
 [-3, -15, 9, 12]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[14, -6, -10, -11],
 [4, -4, 4, -2],
 [8, -6, 2, -5],
 [20, -8, -16, -16]]

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


[User]
What is the rank of the matrix:
[[-9, 2, 10, 9],
 [-12, 6, 10, 7],
 [0, -8, 6, 9],
 [0, 2, -4, -6]]?

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


[User]
Determine the rank of the following matrix:
[[-15, 5, -5, -15],
 [3, 7, 5, -3],
 [-3, 13, -1, -9],
 [1, -16, 2, 8]]

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


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

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


[User]
Find the rank of the matrix:
[[-3, -7, 28, 14],
 [-1, 0, -26, -16],
 [-1, -18, -2, -28],
 [9, -6, 10, -20]]

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-1, -6, -2, 2],
 [-8, -12, -8, 12],
 [1, 6, 2, -2],
 [-16, 12, -8, 20]]

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


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

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


[User]
What is the rank of the matrix:
[[-6, -12, 9, -9],
 [-15, -21, 15, -21],
 [-8, -16, 12, -12],
 [2, 4, -3, 3]]?

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


[User]
Determine the rank of the following matrix:
[[15, -3, -9, 23],
 [-1, -11, -7, -7],
 [10, 10, 2, 18],
 [0, -18, -12, -4]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-16, 22, 19, 4],
 [22, -17, -14, -7],
 [-22, 21, 17, 9],
 [-8, 0, -4, 16]]

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


[User]
What is the rank of the matrix:
[[0, 10, -14, -14],
 [8, 8, -20, 4],
 [-20, 14, -9, 7],
 [-4, 8, -11, 5]]?

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[7, 27, -14, 6],
 [-1, 7, -3, -1],
 [-16, -7, 1, -11],
 [11, 13, -2, 6]]

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


[User]
What is the rank of the matrix:
[[-14, -4, -5, -7],
 [13, 5, 2, -8],
 [-28, -2, -1, 1],
 [4, 16, 10, -14]]?

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


[User]
Determine the rank of the following matrix:
[[-16, 1, 1, 20],
 [16, -1, -1, -20],
 [-8, 6, 2, 8],
 [14, 6, 1, -20]]

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


[User]
What is the rank of the matrix:
[[-8, -16, -8, -8],
 [4, 14, 11, 7],
 [6, -6, -15, -3],
 [-4, 10, 17, 5]]?

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


[User]
Find the rank of the matrix:
[[9, -3, 3, 12],
 [9, -18, 2, -20],
 [-4, 11, -3, 8],
 [-7, -9, 5, -8]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[6, 0, -3, 6],
 [-11, -6, 7, -3],
 [-7, 9, -5, -9],
 [11, -15, 12, 9]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[-16, 16, -12, -12],
 [-4, 0, 13, 13],
 [16, -12, -4, -4],
 [-8, 8, -6, -6]]

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


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

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


[User]
What is the rank of the matrix:
[[9, 26, 2, 20],
 [-1, -11, 2, -8],
 [9, -15, 12, -24],
 [-10, 4, -10, 16]]?

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[9, -5, -19, 13],
 [0, -6, -6, 3],
 [-2, 14, -6, -5],
 [-3, 9, 3, -6]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[3, -15, 10, 3],
 [-13, 9, 7, 15],
 [18, -30, 6, -12],
 [-31, 19, 20, 37]]

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


[User]
What is the rank of the matrix:
[[-22, 5, -6, -10],
 [-34, 5, -6, -22],
 [21, 6, 11, 13],
 [17, -13, -13, 21]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[7, -7, 5, 15],
 [-28, -11, -7, 5],
 [-21, 10, -17, -11],
 [9, 21, -6, -24]]

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


[User]
What is the rank of the matrix:
[[-8, 10, 9, -5],
 [1, -5, 2, 5],
 [6, -6, -8, 2],
 [0, -6, 5, 7]]?

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


[User]
Determine the rank of the following matrix:
[[5, 9, 9, 3],
 [-8, -24, -24, -4],
 [1, -15, -15, 2],
 [4, -12, -12, 4]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-8, 7, -16, -6],
 [0, -1, 12, -5],
 [16, -5, 20, 3],
 [-4, 3, 6, -10]]

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[4, -8, 4, 16],
 [-3, 8, -7, -8],
 [-4, 11, -10, -10],
 [-1, 3, -3, -2]]?

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


[User]
Determine the rank of the following matrix:
[[7, -12, 12, 4],
 [-22, 24, -24, 24],
 [4, -12, 12, 0],
 [18, -24, 24, -8]]

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


[User]
Calculate the rank of matrix A where A =
[[-9, -5, -9, -1],
 [0, -8, 0, -7],
 [2, 2, 2, 1],
 [-2, -10, -2, -8]]

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


[User]
Calculate the rank of matrix A where A =
[[-8, -27, -20, -22],
 [2, 17, 8, 16],
 [-22, -1, 4, 6],
 [0, -1, 4, -2]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-7, 2, -3, -2],
 [29, -12, 13, 12],
 [22, -10, 12, 6],
 [-26, 26, -26, -2]]

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


[User]
Determine the rank of the following matrix:
[[-3, -3, -18, -3],
 [-5, 0, -14, -2],
 [-9, 11, 10, 3],
 [5, -10, -18, -4]]

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


[User]
Determine the rank of the following matrix:
[[2, -12, 7, 9],
 [-1, -5, -5, -18],
 [8, -4, 6, -8],
 [5, -7, 9, 10]]

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-19, -19, 24, 2],
 [-5, -5, 7, 0],
 [9, 9, 3, -12],
 [-8, -8, 19, -6]]

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


[User]
What is the rank of the matrix:
[[-10, 20, 10, 14],
 [8, 3, -17, -11],
 [18, -1, -18, -14],
 [0, -1, -24, -16]]?

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],
 [-12, -6, -9, 3],
 [-8, -4, -6, 2]]?

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


[User]
Calculate the rank of matrix A where A =
[[-5, 2, -23, -11],
 [4, 4, -10, -27],
 [8, 8, 16, 18],
 [-14, -12, 0, 32]]

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


[User]
Determine the rank of the following matrix:
[[-12, 4, 4, 12],
 [7, -3, -7, -17],
 [4, 0, 8, 16],
 [-9, 2, -4, -6]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-1, -1, -16, -3],
 [5, 6, -11, -4],
 [-13, -18, 15, -2],
 [-6, -8, -2, -2]]?

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


[User]
Calculate the rank of matrix A where A =
[[-10, -12, -9, 3],
 [-4, -4, -8, -4],
 [1, 0, 6, 3],
 [14, 19, 8, 4]]

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


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

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


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

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


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

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-16, 4, -6, 2],
 [-8, 4, -2, 6],
 [-4, 8, 2, 18],
 [16, -4, 6, -2]]

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


[User]
Calculate the rank of matrix A where A =
[[-8, 2, 6, -2],
 [-16, 0, 10, 4],
 [-6, -15, -9, -3],
 [-6, -14, -5, 18]]

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


[User]
Determine the rank of the following matrix:
[[1, 3, 10, 11],
 [-12, 4, -16, -12],
 [7, -9, -8, -13],
 [16, -12, 4, -4]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-8, -6, 10, 8],
 [0, 2, -6, 0],
 [25, 14, -17, -25],
 [21, 12, -15, -21]]

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


[User]
What is the rank of the matrix:
[[33, 5, 15, -14],
 [-12, 6, -12, 0],
 [-4, -12, 4, 24],
 [1, -20, 19, 6]]?

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-14, 20, 0, 4],
 [-8, 6, -3, -5],
 [2, -11, -5, -13],
 [12, 10, 7, 9]]

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


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

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


[User]
Find the rank of the matrix:
[[18, -1, -10, 28],
 [-9, 6, 1, -14],
 [4, -1, -1, -1],
 [-13, 1, 7, -20]]

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[3, -21, -9, -24],
 [3, -21, -9, -24],
 [-21, -3, -12, -7],
 [-12, 6, -3, 5]]

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


[User]
What is the rank of the matrix:
[[-5, -4, 4, -9],
 [2, -18, -2, -1],
 [14, 8, -6, -1],
 [-5, -6, 2, 0]]?

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


[User]
Determine the rank of the following matrix:
[[0, 12, 11, 2],
 [5, -21, 4, 18],
 [2, -11, 6, 13],
 [-7, -4, -6, -3]]

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


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

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


[User]
Determine the rank of the following matrix:
[[34, -10, -20, 26],
 [18, -2, -8, 10],
 [-5, -7, -6, 9],
 [-2, 0, -5, 7]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-28, 4, 5, -8],
 [3, 0, -6, 3],
 [1, 2, 4, 11],
 [10, -1, 4, 5]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[24, 16, -4, -16],
 [22, -1, 16, -5],
 [-30, -7, -11, 13],
 [-2, 12, -18, -12]]

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


[User]
Find the rank of the matrix:
[[8, 5, -4, -10],
 [0, -1, 0, 1],
 [2, -7, 16, -7],
 [10, 6, -8, -10]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[3, -10, -11, 5],
 [1, 2, -1, 7],
 [2, -10, -9, 0],
 [4, -2, -9, 18]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-9, 4, 4, 30],
 [4, 16, -4, -8],
 [5, -5, 0, -14],
 [12, 32, -1, -12]]

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


[User]
Calculate the rank of matrix A where A =
[[-5, -12, 6, 25],
 [20, 0, 4, 12],
 [7, -6, 6, 5],
 [-4, -3, 2, -8]]

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


[User]
What is the rank of the matrix:
[[3, 2, -3, 11],
 [13, -12, 3, 37],
 [7, 8, -1, 3],
 [-13, 1, 0, -27]]?

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


[User]
Determine the rank of the following matrix:
[[-9, 4, -7, -12],
 [-2, 2, -2, -3],
 [5, 10, -1, 3],
 [-7, 2, -5, -9]]

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


[User]
Calculate the rank of matrix A where A =
[[-8, 9, 6, 0],
 [10, -12, -19, 1],
 [18, -18, -24, 2],
 [-6, 0, 0, -2]]

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


[User]
What is the rank of the matrix:
[[-8, -2, -4, 15],
 [0, -8, -24, 10],
 [-22, -8, 16, 7],
 [-16, -4, 28, -9]]?

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[4, -6, 14, -5],
 [2, -8, 4, 6],
 [1, -5, 1, 5],
 [-8, 12, -20, 4]]

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


[User]
Calculate the rank of matrix A where A =
[[16, 8, 7, -5],
 [29, -8, 1, 4],
 [5, -12, -4, -5],
 [25, -6, 2, -3]]

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


[User]
What is the rank of the matrix:
[[-1, 11, 3, -6],
 [11, 14, 3, -15],
 [1, 4, 1, -3],
 [20, 20, 4, -24]]?

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


[User]
What is the rank of the matrix:
[[-24, -24, -12, 32],
 [2, 9, 9, -6],
 [2, 14, 9, -8],
 [6, 8, 6, -9]]?

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


[User]
Find the rank of the matrix:
[[-7, 7, 12, 10],
 [8, -8, 16, 9],
 [-7, 7, 12, 10],
 [-1, 1, 20, 14]]

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


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

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


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

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[0, -22, -4, 15],
 [5, -5, -11, 10],
 [9, -9, 29, -22],
 [14, -24, -6, 13]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[15, -11, -7, 16],
 [-9, 6, 12, -12],
 [-4, 2, 14, -8],
 [7, -5, -5, 8]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-4, 5, 4, -15],
 [8, 20, 12, -10],
 [-12, -21, -12, 3],
 [-8, -5, -2, -10]]

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


[User]
What is the rank of the matrix:
[[3, 5, 6, -20],
 [-3, -2, 1, -24],
 [30, -2, 4, 12],
 [-28, -4, -7, -13]]?

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-10, -2, -12, 10],
 [18, 2, 8, -8],
 [-19, -1, -6, 3],
 [-37, -3, 0, 8]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[16, 6, -7, 0],
 [-19, -6, 0, -5],
 [-5, 8, -6, -17],
 [25, 12, 5, 3]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[7, -17, 2, -15],
 [-6, -6, -20, 6],
 [1, -27, -10, -19],
 [3, -5, 2, -5]]

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


[User]
Find the rank of the matrix:
[[-8, -6, -2, -8],
 [-4, -9, 2, -16],
 [4, 7, -1, 12],
 [-20, -13, -6, -16]]

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


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

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


[User]
What is the rank of the matrix:
[[8, -11, 7, 12],
 [6, -3, 3, 12],
 [12, -20, 12, 16],
 [-9, 8, -6, -16]]?

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-5, -7, -7, -1],
 [12, 20, 16, 6],
 [-17, -21, -22, 3],
 [-2, 0, 9, 19]]

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


[User]
What is the rank of the matrix:
[[4, -15, -33, 5],
 [-4, -10, 11, -6],
 [1, 16, 9, 2],
 [-2, 5, 0, -7]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[9, -1, -4, -7],
 [2, -6, -6, 6],
 [-7, -8, -1, 15],
 [6, -1, 8, -10]]

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


[User]
Calculate the rank of matrix A where A =
[[3, -3, -6, -9],
 [-1, -3, -2, 1],
 [5, -1, -6, -13],
 [-9, -3, 6, 21]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-2, 16, -2, 16],
 [6, -12, 6, 0],
 [-2, 13, -2, 12],
 [-8, 25, -8, 12]]

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


[User]
What is the rank of the matrix:
[[-2, -17, 5, -12],
 [-5, -23, -4, -14],
 [-17, 13, -16, 12],
 [13, -19, 12, -15]]?

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-12, -8, 0, 8],
 [8, 8, 6, -10],
 [4, -3, -14, 8],
 [-13, -10, -13, 17]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-4, -4, 7, 1],
 [14, -6, 0, 1],
 [8, -18, 21, 0],
 [10, -2, -1, -2]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[0, 0, 0, 0],
 [-14, -22, 2, -14],
 [3, 10, 0, -1],
 [-22, -22, -2, -26]]

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


[User]
Determine the rank of the following matrix:
[[-4, 4, 0, -1],
 [-2, 4, -6, -2],
 [22, -20, -6, 4],
 [0, 0, 0, 0]]

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


[User]
Find the rank of the matrix:
[[12, 20, 20, 12],
 [6, 6, 2, 2],
 [-6, -4, 2, 0],
 [-6, -2, 6, 2]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-25, 0, 10, -20],
 [-4, 0, -16, -12],
 [-24, 0, 4, -22],
 [-1, 0, 6, 2]]

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


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

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


[User]
What is the rank of the matrix:
[[3, -6, 3, -4],
 [-4, -9, 6, 23],
 [-5, -18, 14, 13],
 [7, 12, -14, 15]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[-13, 12, 16, 12],
 [8, 0, -2, -6],
 [1, 4, 4, 0],
 [-15, 4, 8, 12]]

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


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

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


[User]
What is the rank of the matrix:
[[3, -11, 3, -5],
 [-10, 8, 7, -16],
 [2, -6, -4, 6],
 [12, -14, -3, 10]]?

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


[User]
Find the rank of the matrix:
[[-10, 9, -11, 11],
 [10, -6, 14, -14],
 [13, -9, 17, -17],
 [-7, 3, -11, 11]]

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


[User]
Determine the rank of the following matrix:
[[-4, -12, -9, 2],
 [1, 3, 2, 0],
 [-2, -6, 0, -8],
 [-4, -12, -11, 6]]

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


[User]
Find the rank of the matrix:
[[-22, 0, -20, 2],
 [5, 4, 6, -7],
 [-13, -6, -14, 11],
 [13, 6, 14, -11]]

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


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

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


[User]
What is the rank of the matrix:
[[-21, -10, 21, -12],
 [-6, -14, 6, 4],
 [0, -12, 0, 8],
 [6, 8, -6, 0]]?

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


[User]
Calculate the rank of matrix A where A =
[[15, -21, 18, 28],
 [5, -2, 2, 6],
 [16, -19, 19, 32],
 [-12, -3, 9, 4]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[4, 6, 10, 12],
 [-1, -1, -14, -16],
 [-3, -2, 10, 16],
 [4, 5, -12, -16]]

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


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

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


[User]
Find the rank of the matrix:
[[-3, 5, -2, -3],
 [-12, 0, 7, -12],
 [15, 7, -14, 15],
 [-15, -3, 11, -15]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[3, 9, 12, -9],
 [-3, -9, -12, 9],
 [9, 9, -2, -3],
 [13, 12, -5, -3]]

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


[User]
Determine the rank of the following matrix:
[[9, 6, 9, -3],
 [6, 10, 7, -5],
 [-3, 22, 1, -11],
 [-12, -8, -12, 4]]

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


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

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


[User]
What is the rank of the matrix:
[[5, 6, -1, -3],
 [8, 12, -10, 6],
 [14, 20, -14, 6],
 [-6, -8, 4, 0]]?

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


[User]
What is the rank of the matrix:
[[-4, -4, 0, -18],
 [5, 9, 9, -11],
 [8, 9, 4, 11],
 [-17, -23, -17, 7]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[7, 8, -14, 0],
 [1, 2, -3, 1],
 [-16, -8, 20, 12],
 [-2, -4, 6, -2]]

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


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

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[1, -6, -4, 5],
 [6, -6, 0, 3],
 [-11, -4, -12, 8],
 [-9, 4, -4, 0]]?

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[10, -6, 4, 16],
 [-3, 9, 0, -12],
 [-17, 3, -8, -20],
 [-4, 12, 0, -16]]

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


[User]
Calculate the rank of matrix A where A =
[[-9, 0, -5, -4],
 [-12, -10, -5, -2],
 [-21, -4, -11, -8],
 [-6, 4, -4, -4]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[9, -5, 14, -3],
 [-6, -2, -20, -6],
 [-3, 7, 6, 9],
 [12, -6, 20, -3]]

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


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

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


[User]
What is the rank of the matrix:
[[8, 8, 8, 12],
 [-12, 16, 16, 3],
 [-11, -7, -27, -21],
 [6, -2, -10, 0]]?

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


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

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-8, -6, 8, 4],
 [0, -1, 4, -7],
 [12, 10, 4, -9],
 [-4, -4, 0, -1]]?

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


[User]
What is the rank of the matrix:
[[3, 9, 6, 3],
 [-17, -19, 14, 7],
 [-18, -22, 12, 6],
 [7, 5, -10, -5]]?

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


[User]
Find the rank of the matrix:
[[12, 18, -9, 27],
 [12, 16, 2, 14],
 [0, -12, 3, -15],
 [-8, 4, 8, -4]]

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


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

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


[User]
Find the rank of the matrix:
[[11, 2, 3, 3],
 [-13, -10, -3, -9],
 [2, -6, 1, -4],
 [0, 14, -1, 10]]

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


[User]
Determine the rank of the following matrix:
[[0, 0, -5, -1],
 [12, -12, 6, 9],
 [-4, 4, 8, -1],
 [0, 0, 5, 1]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-9, -15, -10, -7],
 [6, 11, 8, 6],
 [6, 14, 12, 10],
 [-3, -7, -6, -5]]

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


[User]
What is the rank of the matrix:
[[8, -8, -4, -16],
 [16, 8, 6, 8],
 [6, 6, 4, 8],
 [18, 6, 5, 4]]?

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


[User]
Determine the rank of the following matrix:
[[-4, 2, -4, 1],
 [-15, 11, -15, 7],
 [4, 12, 4, 12],
 [-11, -5, -11, -7]]

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


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

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


[User]
What is the rank of the matrix:
[[-4, -15, 22, -1],
 [12, -2, -6, 12],
 [-4, -3, 4, -3],
 [0, -13, 12, 3]]?

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


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

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-11, 16, -7, 5],
 [-7, 9, 5, -11],
 [-3, 5, -7, 9],
 [-9, 13, -5, 3]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[22, -6, -10, -1],
 [-18, 8, 6, 4],
 [0, -6, -4, 0],
 [-6, -11, 24, -22]]

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


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

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


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

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


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

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-6, -9, 7, 1],
 [6, 15, -13, 5],
 [-3, 3, -4, 8],
 [6, 12, -10, 2]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[0, 15, -9, 21],
 [1, -18, 13, -23],
 [3, -3, 0, -3],
 [13, -14, 23, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[-2, -4, 17, 16],
 [8, 4, 28, 0],
 [4, 2, -13, 12],
 [-16, -12, -12, 16]]

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


[User]
Calculate the rank of matrix A where A =
[[1, -2, -4, -1],
 [11, -14, 4, -19],
 [-4, 2, -20, 10],
 [-6, 10, 12, 8]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[2, -13, 0, 11],
 [-7, -7, -15, -1],
 [-2, 13, 0, -11],
 [3, 5, 7, -1]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[8, -12, 4, 7],
 [17, 2, 16, -16],
 [24, -3, 18, -18],
 [3, -1, 6, 1]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-7, -16, -7, 3],
 [-14, -12, 0, 4],
 [11, 18, 6, -4],
 [-11, -8, 1, 3]]

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


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

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-4, 10, -17, -1],
 [12, 12, 9, -11],
 [4, 29, -7, 9],
 [12, 21, 5, -7]]

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[32, 8, -4, 28],
 [-4, 4, -17, -6],
 [4, -2, 10, 5],
 [-12, 2, -16, -13]]

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


[User]
Calculate the rank of matrix A where A =
[[6, -6, -2, -3],
 [-2, 12, 4, 11],
 [-4, 3, 1, 1],
 [24, -13, 9, -21]]

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[18, -10, 6, -12],
 [2, -3, 4, 1],
 [1, 2, -19, 11],
 [-26, 14, 2, 8]]?

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


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

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


[User]
What is the rank of the matrix:
[[10, -2, -9, 3],
 [14, -5, -17, 13],
 [-16, 6, 20, -16],
 [-8, 4, 12, -12]]?

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


[User]
Find the rank of the matrix:
[[-11, 19, -15, -12],
 [-21, 27, -9, -12],
 [0, -1, 20, -10],
 [6, -10, 14, 2]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-4, 7, 9, 2],
 [-8, -13, -9, 4],
 [0, 3, 3, 0],
 [4, 8, 6, -2]]

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


[User]
What is the rank of the matrix:
[[-9, 20, -1, 6],
 [-7, 9, -17, 1],
 [2, -15, 12, -9],
 [-2, 11, 16, 5]]?

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


[User]
Find the rank of the matrix:
[[4, 4, -12, 8],
 [-32, 24, 5, -22],
 [-10, 14, 0, 4],
 [-10, 6, -5, -14]]

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


[User]
What is the rank of the matrix:
[[6, -1, -5, 0],
 [8, 4, -12, 0],
 [-21, -3, 9, -12],
 [8, 6, 6, 16]]?

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


[User]
Calculate the rank of matrix A where A =
[[-4, 4, 4, -6],
 [-28, 28, 4, 6],
 [-8, 8, 1, 2],
 [-8, 8, 4, -4]]

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


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

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[0, 0, 0, 0],
 [-15, 17, 3, -4],
 [-13, 19, 9, -4],
 [-12, 4, -12, -2]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-4, -20, 6, 0],
 [-11, 5, -6, 10],
 [-5, -13, 3, 2],
 [-17, -1, -6, 14]]

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


[User]
Calculate the rank of matrix A where A =
[[3, -6, 15, -9],
 [3, -6, 15, -9],
 [8, 14, 10, -14],
 [1, -2, 5, -3]]

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


[User]
Determine the rank of the following matrix:
[[2, -2, 0, -6],
 [-4, 8, 12, 24],
 [0, 0, 0, 0],
 [1, 0, 3, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[-12, 4, -4, -8],
 [-15, 13, 15, -18],
 [-12, 10, 11, -14],
 [6, -10, -18, 12]]

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


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

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[2, 14, 22, 2],
 [-4, -16, -28, -4],
 [1, -8, -9, 1],
 [-4, -4, -12, -4]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-2, 4, -4, 2],
 [10, -11, 14, -4],
 [2, -1, 2, 0],
 [-12, 15, -18, 6]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-12, -24, -36, 26],
 [16, 8, 16, -12],
 [-9, -8, -17, 22],
 [3, -2, -5, 13]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-6, -4, 8, 6],
 [13, 14, -4, -13],
 [12, 8, -16, -12],
 [11, 10, -8, -11]]

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


[User]
Calculate the rank of matrix A where A =
[[0, 0, 0, 0],
 [1, -14, 18, 1],
 [-4, -4, 12, 2],
 [10, 0, -16, -4]]

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


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

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


[User]
What is the rank of the matrix:
[[6, 13, -8, -3],
 [-3, -5, 2, 1],
 [-3, 1, -6, -1],
 [9, -3, 18, 3]]?

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


[User]
Calculate the rank of matrix A where A =
[[-9, 5, 12, -9],
 [1, 1, 8, -6],
 [13, -7, -16, 12],
 [7, -5, -16, 12]]

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


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

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


[User]
Find the rank of the matrix:
[[16, 14, 0, 24],
 [4, -4, 0, -4],
 [1, -4, 0, -5],
 [-4, -2, 0, -4]]

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


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

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


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

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[5, -4, 4, 0],
 [22, -20, -12, -12],
 [-6, 10, 6, 10],
 [-28, 35, 13, 27]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[11, -3, 2, 13],
 [-1, 12, -3, -4],
 [-6, 3, 1, -5],
 [-5, 3, -4, -9]]

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


[User]
Find the rank of the matrix:
[[-12, 10, -8, 2],
 [-15, 21, 1, -13],
 [-15, -8, -13, 4],
 [0, -28, -8, 8]]

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


[User]
Determine the rank of the following matrix:
[[-13, -8, -1, -8],
 [-16, 7, -4, -20],
 [-22, 2, -10, -4],
 [-7, -8, -3, 8]]

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


[User]
Find the rank of the matrix:
[[2, -6, 2, 0],
 [13, 3, 6, 0],
 [-3, 3, -2, 0],
 [-18, -8, -10, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[-2, 11, -12, -10],
 [-10, 13, -12, -2],
 [-4, 1, 0, 4],
 [-22, 16, -12, 10]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[9, -3, 16, -2],
 [1, -1, 8, -2],
 [14, -7, 28, 0],
 [-9, 0, 12, -6]]

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


[User]
What is the rank of the matrix:
[[-6, 4, 2, -7],
 [-16, 0, 8, 4],
 [3, -14, 2, 7],
 [0, -12, 3, 9]]?

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


[User]
Calculate the rank of matrix A where A =
[[-17, -11, -25, 31],
 [18, 18, 19, -19],
 [24, 32, 18, -10],
 [-5, -11, 2, -8]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[0, 0, -3, 15],
 [-1, 0, 2, 6],
 [3, 0, -8, -8],
 [1, 0, -2, -6]]

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


[User]
Determine the rank of the following matrix:
[[3, 5, -4, 1],
 [0, -4, -1, 4],
 [-20, -4, 22, 8],
 [-14, 2, 13, 14]]

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


[User]
Calculate the rank of matrix A where A =
[[16, -16, 12, -12],
 [-13, 18, -9, 13],
 [-21, 6, -18, 6],
 [-11, 6, -9, 5]]

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


[User]
Calculate the rank of matrix A where A =
[[12, -7, -7, -15],
 [-4, 0, 0, -2],
 [-4, 1, 1, 1],
 [12, -8, -8, -18]]

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


[User]
Determine the rank of the following matrix:
[[7, 5, 1, -2],
 [-4, -2, 3, 0],
 [-21, -15, -3, 6],
 [25, 17, 0, -6]]

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


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

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


[User]
What is the rank of the matrix:
[[-6, -15, -12, 6],
 [-13, -2, 8, -2],
 [-12, -15, 3, -8],
 [13, -4, 4, -18]]?

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


[User]
Find the rank of the matrix:
[[-19, -1, 12, -6],
 [14, -13, -20, 13],
 [-12, -1, -4, -4],
 [24, 15, -4, -1]]

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


[User]
What is the rank of the matrix:
[[-6, 6, -21, 3],
 [-16, 13, 8, 6],
 [3, 0, -8, -17],
 [16, -14, 22, -10]]?

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


[User]
Find the rank of the matrix:
[[6, 12, -16, 0],
 [4, -8, -16, 4],
 [7, 22, -18, 1],
 [-7, 6, 32, -15]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-13, -1, 6, -7],
 [1, -3, -16, 9],
 [-4, 4, 30, -14],
 [3, -1, -14, 5]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-11, 8, 0, 3],
 [-14, 12, 2, 4],
 [14, -12, -2, -4],
 [-11, 18, 11, 4]]

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


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

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


[User]
Find the rank of the matrix:
[[-3, -5, 3, 9],
 [3, -7, 5, 7],
 [9, -3, 3, -3],
 [-9, 3, -3, 3]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[0, -7, -17, -13],
 [8, 33, -13, 1],
 [-14, -14, -3, -3],
 [-16, -17, 1, -1]]

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


[User]
Find the rank of the matrix:
[[-8, -14, -8, 5],
 [6, 4, -20, 19],
 [2, -2, -20, 18],
 [2, 2, -4, 4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-22, -16, 6, -24],
 [-13, -3, 23, -6],
 [-10, -12, -10, -15],
 [-16, -13, 2, -17]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[8, -12, -16, 8],
 [0, 0, 0, 0],
 [-8, 12, 16, -8],
 [0, 0, 0, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-7, -13, -18, 21],
 [-16, -8, 13, -4],
 [11, 5, -24, 0],
 [3, 1, -7, 1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-27, -7, -6, 19],
 [-8, 4, -22, 4],
 [-3, 6, -18, 6],
 [-8, -4, -1, 0]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[2, 2, 8, -2],
 [0, 0, 0, 0],
 [-2, -2, -8, 2],
 [3, 3, 12, -3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[25, 7, -2, -16],
 [24, 0, 2, -19],
 [-14, -2, 0, 10],
 [-17, 1, -2, 14]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[11, -4, -3, 8],
 [0, 12, -4, 0],
 [-10, -34, 8, -10],
 [-6, 17, -5, -5]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[15, -4, -1, 0],
 [-25, -2, 15, 30],
 [1, 10, -11, 7],
 [1, 16, -19, -3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[17, -2, -6, -5],
 [0, -9, -10, 3],
 [-3, 3, 4, 0],
 [4, -10, -12, 2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-4, 24, 6, -12],
 [11, 4, -16, 2],
 [-18, 8, 17, -6],
 [3, -8, -8, 6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[6, 6, -20, 17],
 [3, 5, -12, 10],
 [0, -12, 12, -9],
 [-3, 3, 4, -4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-9, 7, 13, 1],
 [-17, 2, 3, -10],
 [-7, 4, 1, 4],
 [-6, 5, 20, -7]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-3, -9, 3, 3],
 [3, 9, -3, -3],
 [1, 3, -1, -1],
 [0, 0, 0, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-20, -9, -29, 10],
 [12, 2, -2, -20],
 [8, 0, -6, -15],
 [6, 3, 1, -14]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[1, 13, -2, -11],
 [-3, -9, 0, 9],
 [15, 5, 8, -13],
 [-3, -9, 0, 9]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-4, 8, -4, 8],
 [8, -16, 8, -16],
 [0, 0, 0, 0],
 [-6, 12, -6, 12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[6, 12, 0, 12],
 [2, 4, 0, 4],
 [8, 16, 0, 16],
 [0, 0, 0, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-16, 16, 4, 12],
 [-16, 16, 4, 12],
 [16, -16, -4, -12],
 [-12, 12, 3, 9]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-3, 3, -3, 5],
 [-3, -7, -3, -5],
 [-12, 2, -12, 10],
 [-9, 1, -9, 7]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[2, 8, -6, -2],
 [2, 8, -6, -2],
 [1, 4, -3, -1],
 [-4, -16, 12, 4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[6, -18, 3, -21],
 [0, 16, -4, 16],
 [0, 8, -2, 8],
 [2, 14, -4, 13]]

Present the answer in LaTex format: \boxed{Your answer}