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

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


[User]
Determine the rank of the following matrix:
[[-14, 4, 6, 3],
 [10, 3, -2, -2],
 [32, 6, 8, -10],
 [4, 1, 0, -1]]

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


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

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-20, 6, 0, -8],
 [-17, 2, 2, -6],
 [24, 11, -14, 4],
 [-2, 10, -8, -4]]

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[7, 10, 16, -8],
 [-12, -8, -6, 5],
 [1, 3, 4, -1],
 [-12, -15, -6, -2]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-10, -8, 20, 8],
 [8, 4, -24, -8],
 [-15, -18, 10, 8],
 [-3, 0, 14, 4]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[17, -6, -8, -2],
 [13, 16, 12, -4],
 [-8, 19, 18, -1],
 [-15, -5, -2, 3]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[2, -6, -22, 6],
 [14, 0, 0, -8],
 [-2, 12, 5, -2],
 [5, 9, 3, -5]]

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


[User]
Determine the rank of the following matrix:
[[-14, -20, -22, 8],
 [5, -1, 2, 0],
 [-2, 11, 5, -6],
 [2, 23, 13, -14]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[13, -10, 15, 0],
 [-5, 6, -9, -7],
 [-3, 2, -3, 1],
 [-9, 10, -15, -10]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-17, -9, -9, -2],
 [13, 21, 21, 10],
 [5, 0, 0, -1],
 [-14, -18, -18, -8]]

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


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

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


[User]
What is the rank of the matrix:
[[17, 6, 17, 1],
 [10, 2, 10, 0],
 [-4, 7, -4, 3],
 [-12, -5, -12, -1]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[3, -3, -3, 7],
 [9, -16, -9, -7],
 [-9, 11, 9, -13],
 [0, 4, 0, 16]]

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


[User]
Calculate the rank of matrix A where A =
[[11, -5, 8, 17],
 [13, -3, 1, 22],
 [-15, -2, -3, -6],
 [28, 10, -17, 21]]

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


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

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


[User]
Find the rank of the matrix:
[[0, 0, 0, 0],
 [-4, 16, 12, -10],
 [4, 0, 2, -3],
 [-15, -12, -18, 21]]

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


[User]
Calculate the rank of matrix A where A =
[[-3, 1, -8, 2],
 [0, 8, -22, 15],
 [-10, -4, 6, -15],
 [-6, 8, -10, 1]]

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


[User]
Find the rank of the matrix:
[[-4, 8, 4, -2],
 [-1, 6, 8, 0],
 [15, -18, 6, 9],
 [12, -8, 16, 8]]

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


[User]
Calculate the rank of matrix A where A =
[[1, -7, 5, 2],
 [4, -4, -22, 6],
 [-4, 0, 14, -14],
 [-2, 12, 4, 2]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-8, 4, -16, 0],
 [8, 8, -2, -6],
 [-14, -13, 2, 10],
 [0, -8, 12, 4]]

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


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

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


[User]
What is the rank of the matrix:
[[-14, 0, 7, -16],
 [-6, 0, -5, -16],
 [-7, 20, 12, 11],
 [-10, 0, 8, -8]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[8, -8, 16, 22],
 [48, -48, 12, 4],
 [-12, 12, -14, -25],
 [36, -36, 9, 3]]

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


[User]
Determine the rank of the following matrix:
[[4, 10, 4, -14],
 [-24, -3, 3, -15],
 [16, 8, 4, -2],
 [28, 6, 4, 10]]

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


[User]
What is the rank of the matrix:
[[-13, 21, 21, -9],
 [16, -4, 25, 2],
 [9, -4, 13, -1],
 [16, -4, 25, 2]]?

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


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

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


[User]
What is the rank of the matrix:
[[1, -10, -18, 13],
 [-23, 3, 7, -9],
 [7, 0, 16, -12],
 [14, 1, -3, 5]]?

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


[User]
Calculate the rank of matrix A where A =
[[-6, 5, 2, -2],
 [8, -6, -5, 5],
 [10, -13, 13, -13],
 [24, -20, -8, 8]]

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


[User]
Find the rank of the matrix:
[[-6, -17, 8, -22],
 [-14, -11, 12, -30],
 [-15, 6, 15, -21],
 [-22, 15, 17, -25]]

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


[User]
What is the rank of the matrix:
[[-1, -4, 6, -3],
 [-8, -8, -6, 6],
 [6, 4, 9, -7],
 [-6, -8, 0, 2]]?

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


[User]
Calculate the rank of matrix A where A =
[[-13, 24, -15, 19],
 [13, -28, 16, -20],
 [0, -12, 3, -3],
 [1, 2, -15, 7]]

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


[User]
Calculate the rank of matrix A where A =
[[-10, -15, 13, -6],
 [-14, -2, 12, -14],
 [10, 6, -12, -2],
 [13, 2, -13, 3]]

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


[User]
What is the rank of the matrix:
[[-18, -4, -16, -6],
 [-9, -12, -12, 9],
 [-12, -16, -16, 12],
 [6, -12, 0, 18]]?

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


[User]
Determine the rank of the following matrix:
[[4, -6, 2, 0],
 [10, -6, -6, 14],
 [-24, 15, 1, -20],
 [4, 0, -6, 10]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-14, 4, -2, -6],
 [24, -4, 6, 10],
 [-1, -8, -13, -2],
 [-14, 4, -2, -6]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-6, 10, -32, 14],
 [2, 1, -27, 23],
 [6, -3, 9, 3],
 [-2, -18, -5, 0]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-6, -7, -7, -28],
 [-25, -4, -24, 6],
 [14, 13, 17, 17],
 [-2, 3, -1, 11]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-7, 22, -3, 4],
 [8, -26, 2, -4],
 [-6, 0, 6, 3],
 [24, 13, 11, -25]]

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


[User]
Find the rank of the matrix:
[[4, 2, -12, 6],
 [0, 12, -32, 12],
 [4, -4, 4, 0],
 [-4, 13, -28, 9]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[5, 4, -1, -6],
 [-4, -10, -24, 8],
 [2, 6, 14, -2],
 [-1, -6, -19, 4]]?

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


[User]
Calculate the rank of matrix A where A =
[[-12, 11, 0, 8],
 [20, -6, -22, 4],
 [-22, 11, 21, 2],
 [-19, 15, 20, 10]]

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[7, -3, 4, -1],
 [9, -6, 0, -3],
 [12, -3, 12, 0],
 [8, -7, -4, -4]]?

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


[User]
Find the rank of the matrix:
[[2, 4, 0, 0],
 [-1, 0, -2, 2],
 [12, 10, -9, -14],
 [28, 30, -27, -26]]

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


[User]
What is the rank of the matrix:
[[0, -9, 8, -18],
 [-18, 12, -8, -12],
 [8, -6, 6, 4],
 [-18, 26, -21, 16]]?

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


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

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


[User]
Find the rank of the matrix:
[[-20, 2, 11, 13],
 [16, -2, 3, -11],
 [20, -8, 4, -16],
 [8, -12, -25, -9]]

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


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

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


[User]
Find the rank of the matrix:
[[-3, 5, -2, 8],
 [-6, -11, 3, -12],
 [6, -1, 1, -4],
 [9, 18, -5, 20]]

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


[User]
Calculate the rank of matrix A where A =
[[1, 4, 4, 4],
 [-1, 13, 11, 10],
 [-4, 1, -1, -2],
 [-6, -7, -9, -10]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-12, -15, 3, 10],
 [-7, 0, 3, -10],
 [13, 15, 0, -6],
 [11, 3, -18, 0]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-1, 8, 10, -13],
 [4, -6, -14, 13],
 [-3, -2, 4, 0],
 [7, -8, -22, 19]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-12, -8, 4, 16],
 [-3, -5, 16, 10],
 [20, 12, 0, -24],
 [11, 9, -12, -18]]

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


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

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-11, -5, -7, -5],
 [0, -2, -1, -4],
 [0, 10, -1, -10],
 [10, 8, 7, 6]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[6, -4, 14, 20],
 [-11, 12, 0, 16],
 [10, -4, 13, -8],
 [0, 0, -14, -40]]

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


[User]
What is the rank of the matrix:
[[8, 13, -2, 32],
 [18, -4, -8, 16],
 [24, -8, -22, 8],
 [0, -13, 6, -16]]?

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


[User]
Determine the rank of the following matrix:
[[-7, 2, -6, 9],
 [-9, -3, -9, 18],
 [5, -7, 3, 0],
 [18, -20, 12, -6]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-28, -44, 40, 12],
 [28, 20, -16, 6],
 [-1, 11, -14, -14],
 [18, 10, -8, 5]]

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


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

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


[User]
What is the rank of the matrix:
[[5, -13, 9, 10],
 [4, -14, 12, 8],
 [4, 16, 4, -12],
 [10, 34, -6, -15]]?

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


[User]
Determine the rank of the following matrix:
[[6, -4, -8, 1],
 [15, -1, 15, -18],
 [-3, -11, -11, 22],
 [1, 9, 7, -16]]

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


[User]
Find the rank of the matrix:
[[-16, 6, 22, -25],
 [10, -27, -4, -2],
 [-12, -13, -2, 1],
 [14, -17, -12, 10]]

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


[User]
Determine the rank of the following matrix:
[[-4, 6, 11, -6],
 [-5, 3, 1, 3],
 [11, -3, 8, -15],
 [-3, 3, 4, -1]]

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


[User]
Determine the rank of the following matrix:
[[-12, 5, -9, -3],
 [7, 2, 2, 4],
 [28, 3, 11, 7],
 [-41, -10, -12, -4]]

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


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

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


[User]
What is the rank of the matrix:
[[20, -12, -9, -2],
 [-4, 4, -3, -2],
 [-20, 16, -3, -4],
 [-8, 8, -6, -4]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-4, 14, -14, -10],
 [0, 10, -8, -8],
 [12, 3, 6, -6],
 [4, -4, 6, 2]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[20, 10, 4, 0],
 [-16, -16, -8, 0],
 [12, -8, -6, 0],
 [-28, -13, -5, 0]]

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


[User]
Find the rank of the matrix:
[[-24, 0, -4, 6],
 [-24, -2, -8, 6],
 [8, 7, -14, -10],
 [0, -1, 9, 3]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[6, -15, -18, 9],
 [2, 1, 3, 3],
 [6, -5, -3, 9],
 [8, -14, -15, 12]]?

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


[User]
Determine the rank of the following matrix:
[[14, 19, -1, 3],
 [22, 7, -9, 21],
 [-4, -24, 5, 7],
 [-4, 6, -14, 0]]

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


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

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


[User]
What is the rank of the matrix:
[[-3, 6, -6, -2],
 [-9, -12, -8, 4],
 [-25, -9, -1, -13],
 [6, 18, 2, -6]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[8, 8, 4, 16],
 [18, 14, 7, 12],
 [9, 6, 3, 0],
 [-4, -2, -1, 4]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-4, 4, -8, -4],
 [4, -13, -1, 1],
 [0, 0, 0, 0],
 [4, -13, -1, 1]]

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


[User]
Calculate the rank of matrix A where A =
[[-15, -2, -12, 7],
 [-6, -16, -16, 8],
 [12, -1, 8, -5],
 [-18, 15, 0, 1]]

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


[User]
Calculate the rank of matrix A where A =
[[6, 2, 10, 0],
 [-3, 1, -9, 1],
 [-9, -17, 13, -7],
 [0, -8, 16, -4]]

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


[User]
What is the rank of the matrix:
[[-3, 5, -1, -11],
 [-12, 2, -10, -20],
 [9, -6, 6, 21],
 [-3, 11, 1, -19]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[-8, 2, 15, -16],
 [-10, 8, 11, -10],
 [2, -18, 18, -24],
 [-10, -6, 22, -24]]

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


[User]
Determine the rank of the following matrix:
[[12, -4, 1, -4],
 [12, -20, -2, 0],
 [-9, 21, 2, 1],
 [18, -14, -3, 8]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-14, 18, 20, -6],
 [10, 10, 4, 1],
 [4, -36, 0, -10],
 [5, 5, -14, 9]]

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


[User]
Determine the rank of the following matrix:
[[9, -3, -3, -15],
 [17, 19, -12, -5],
 [4, 13, -4, 15],
 [5, 4, -3, -2]]

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


[User]
Calculate the rank of matrix A where A =
[[3, 14, -3, 1],
 [-2, -22, 6, -10],
 [-1, 2, 0, 9],
 [-3, -13, 4, 5]]

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


[User]
Find the rank of the matrix:
[[0, 8, -4, 0],
 [-16, 20, -20, -16],
 [-4, -7, 1, -4],
 [12, -15, 15, 12]]

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


[User]
What is the rank of the matrix:
[[18, 0, 2, -8],
 [-18, -6, -10, -8],
 [-18, -3, -6, 0],
 [-12, 1, 0, 8]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[-7, 11, 13, 4],
 [0, -11, -13, -11],
 [6, 22, 10, -16],
 [-10, -2, -2, -11]]

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


[User]
What is the rank of the matrix:
[[36, -16, -3, -4],
 [0, -5, -1, 0],
 [-4, -11, 5, 12],
 [-8, 8, -9, -16]]?

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


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

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


[User]
Find the rank of the matrix:
[[12, 4, 4, 20],
 [13, 0, 5, 11],
 [12, 4, 9, 0],
 [-5, 7, 2, -7]]

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


[User]
Calculate the rank of matrix A where A =
[[-5, 11, 15, 8],
 [-2, -6, -6, -4],
 [-14, 10, 18, 8],
 [13, -13, -21, -10]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-19, -15, 12, 11],
 [4, 20, 8, -16],
 [20, 4, -20, -2],
 [-1, 11, 8, -9]]

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


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

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


[User]
Find the rank of the matrix:
[[14, -9, -6, 0],
 [-12, 18, 12, -6],
 [2, -12, -8, 8],
 [-29, -3, -2, 10]]

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


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

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


[User]
Determine the rank of the following matrix:
[[21, -10, -8, 5],
 [-5, -6, 6, -7],
 [12, 0, -11, 5],
 [6, 20, 2, 25]]

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


[User]
What is the rank of the matrix:
[[0, -2, -8, 9],
 [0, 6, -3, 9],
 [0, -8, 4, -12],
 [0, -2, 4, -7]]?

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


[User]
What is the rank of the matrix:
[[20, 10, -19, 8],
 [-8, -6, 8, -2],
 [0, 10, -2, -6],
 [-8, 14, 4, -14]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[0, -4, 0, 9],
 [7, -3, 0, 12],
 [16, -4, 0, 21],
 [-9, 1, 0, -9]]

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[14, 16, 1, -10],
 [5, 30, -1, 9],
 [8, 16, -9, -12],
 [6, -2, -2, -12]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-10, 16, -13, 5],
 [-8, -4, -9, -3],
 [4, 0, 8, -16],
 [0, 4, 1, -5]]

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[13, 17, 5, 5],
 [-3, 5, -14, -3],
 [12, 28, -4, -4],
 [2, -14, 22, 6]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[21, -5, 26, -4],
 [-17, 11, -11, -2],
 [11, -4, 15, -12],
 [0, -16, -12, -24]]?

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


[User]
Find the rank of the matrix:
[[2, 0, -16, -2],
 [2, 18, 8, -14],
 [-1, 6, 16, -3],
 [-3, -3, 20, 5]]

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


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

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


[User]
Find the rank of the matrix:
[[-3, 11, 20, 6],
 [1, -1, -9, -18],
 [8, 12, -2, -19],
 [-11, -5, 3, -14]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[1, 3, -3, -9],
 [3, 1, -1, -9],
 [-4, 0, -5, -11],
 [11, 17, 1, 9]]

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


[User]
What is the rank of the matrix:
[[-3, 9, -16, -21],
 [-3, 3, -12, -2],
 [3, -3, 16, -3],
 [-12, -7, -16, 28]]?

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[0, 10, 2, -2],
 [0, -15, -3, 3],
 [6, 2, -2, -22],
 [5, -5, -3, -17]]

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


[User]
Determine the rank of the following matrix:
[[29, -22, -5, -13],
 [7, -10, 4, 0],
 [10, 12, -33, -25],
 [-15, 10, 2, 6]]

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


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

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


[User]
Find the rank of the matrix:
[[-5, 28, -20, 0],
 [7, -8, 2, -13],
 [0, 24, -20, -10],
 [-4, 32, -24, -4]]

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


[User]
Determine the rank of the following matrix:
[[2, 6, -6, 8],
 [-1, -3, 3, -4],
 [-14, 14, -6, 20],
 [-4, 2, 0, 3]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[10, 11, 15, -4],
 [8, 22, 28, 4],
 [0, -12, -14, -6],
 [-10, -11, -15, 4]]

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


[User]
Calculate the rank of matrix A where A =
[[-8, 16, 5, -19],
 [-30, 0, -12, 14],
 [12, 0, 3, -9],
 [0, 14, 5, -24]]

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


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

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


[User]
Find the rank of the matrix:
[[21, 19, -24, -4],
 [-21, -21, 21, 3],
 [0, 8, 19, -13],
 [16, 14, -22, 4]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-20, -17, -19, 0],
 [-4, -18, 7, 0],
 [13, 20, 10, 0],
 [2, 15, -10, 0]]

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


[User]
Determine the rank of the following matrix:
[[17, 20, 2, 23],
 [8, 6, 2, 2],
 [7, 6, 4, 4],
 [18, 14, -10, 4]]

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


[User]
Determine the rank of the following matrix:
[[4, 13, 12, 8],
 [8, -2, 3, 2],
 [28, -9, 9, 6],
 [8, -10, -3, -2]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[33, 0, 27, -15],
 [-7, 16, -3, 19],
 [-11, 6, -9, -1],
 [16, -10, 12, -10]]

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


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

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


[User]
Find the rank of the matrix:
[[6, -12, -8, -4],
 [-11, 10, 6, 6],
 [4, -2, -1, -2],
 [14, -16, -10, -8]]

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


[User]
Find the rank of the matrix:
[[-6, 3, 15, 6],
 [-9, -6, 15, -6],
 [10, 5, 4, -6],
 [5, 4, 14, -6]]

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


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

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


[User]
Determine the rank of the following matrix:
[[4, -3, 2, 0],
 [-18, -10, -8, -13],
 [12, -8, 10, -2],
 [2, -29, -14, -5]]

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


[User]
Determine the rank of the following matrix:
[[-2, 9, 8, 8],
 [-2, 8, 4, 20],
 [-13, -2, -5, 1],
 [15, -15, -15, 3]]

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-17, 16, -6, -2],
 [20, -17, -5, 5],
 [6, -5, 11, 0],
 [2, -6, -10, -1]]?

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


[User]
Determine the rank of the following matrix:
[[-1, 5, 8, -7],
 [0, -4, -4, 4],
 [0, -6, -6, 6],
 [5, -3, -18, 13]]

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


[User]
Find the rank of the matrix:
[[14, -3, -3, -8],
 [8, 0, -3, -11],
 [0, 3, -1, -5],
 [4, -4, -1, -3]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[5, 1, 7, -6],
 [-20, -2, 14, 10],
 [-2, 17, -4, -16],
 [20, -20, -8, 12]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-16, 12, 8, -12],
 [-24, 10, 17, -17],
 [-4, -6, 5, -1],
 [4, 10, -9, 1]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[26, -17, 3, 12],
 [17, -8, 7, 3],
 [24, -12, 2, 14],
 [0, -6, -4, 2]]

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


[User]
Calculate the rank of matrix A where A =
[[3, 2, -3, 7],
 [18, -18, 12, 2],
 [12, -4, 0, 12],
 [6, 4, -6, 14]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[16, -8, 20, 0],
 [7, -37, 4, 22],
 [15, -21, 12, 6],
 [4, 21, 0, -20]]

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


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

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


[User]
Find the rank of the matrix:
[[5, 2, 13, -4],
 [-21, -12, -6, 24],
 [7, 8, -8, -12],
 [-9, -10, -3, 14]]

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


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

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


[User]
What is the rank of the matrix:
[[12, 9, 0, -12],
 [-25, -9, 0, 16],
 [-6, -11, 0, 12],
 [-21, -6, 0, 12]]?

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


[User]
What is the rank of the matrix:
[[-2, 8, 6, -16],
 [-22, 22, -12, -8],
 [-4, 16, 12, -32],
 [-19, 21, -5, -10]]?

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


[User]
Calculate the rank of matrix A where A =
[[-13, 3, 2, -3],
 [17, -3, -10, 9],
 [-18, 4, 4, -5],
 [-7, 3, -10, 6]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-11, 8, 0, -12],
 [-2, 2, -3, 0],
 [-1, -2, 15, -12],
 [-4, 8, -28, 16]]

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


[User]
What is the rank of the matrix:
[[-9, 1, -10, -8],
 [15, 13, 12, 13],
 [-8, 0, 15, 19],
 [-12, -16, -13, -16]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[-8, -4, 0, 0],
 [22, 14, -6, 9],
 [20, 12, -4, 6],
 [22, 14, -6, 9]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[7, 12, 28, -11],
 [6, 16, 24, -8],
 [2, 4, 8, -3],
 [-1, 4, -4, 3]]

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


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

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


[User]
Determine the rank of the following matrix:
[[5, -4, 5, -1],
 [15, -12, 15, -3],
 [14, -10, 14, -4],
 [-8, 0, -8, 5]]

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


[User]
Determine the rank of the following matrix:
[[-10, -12, 6, 4],
 [22, -29, -7, 7],
 [14, -4, -18, -12],
 [-9, -4, 4, 1]]

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


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

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[0, -3, -2, 1],
 [21, 21, -1, -1],
 [9, 18, -8, 4],
 [-9, 7, -7, 5]]?

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


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

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


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

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


[User]
What is the rank of the matrix:
[[0, 6, 3, -4],
 [-2, -3, 0, 0],
 [-12, 12, 15, -20],
 [2, 3, 0, 0]]?

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


[User]
Calculate the rank of matrix A where A =
[[4, -4, 1, 2],
 [-8, 8, -2, -4],
 [22, -4, 4, -1],
 [-16, -8, -2, 8]]

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


[User]
Determine the rank of the following matrix:
[[-14, -5, -11, 1],
 [20, 7, 16, -2],
 [-4, -2, -2, -2],
 [20, 7, 16, -2]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-3, -2, -6, 4],
 [-9, 27, -1, 5],
 [0, -18, 3, -6],
 [-9, -9, -10, 5]]

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


[User]
Determine the rank of the following matrix:
[[-9, -3, 2, -5],
 [12, 6, -10, -3],
 [9, 3, -7, -5],
 [-12, -16, 17, -8]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-9, -8, 12, -14],
 [-11, -12, 3, -6],
 [6, 8, 6, -4],
 [19, 20, -9, 14]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[2, 1, 7, 6],
 [-12, -4, -12, -8],
 [20, 4, -20, -24],
 [-7, -2, -2, 0]]

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


[User]
What is the rank of the matrix:
[[7, 6, 3, 10],
 [-8, -18, -10, -18],
 [5, 15, 16, 21],
 [-18, -14, -4, -22]]?

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


[User]
Calculate the rank of matrix A where A =
[[8, 3, 1, -4],
 [10, 6, -5, 10],
 [-13, 2, 1, -9],
 [-12, -9, 11, -24]]

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


[User]
Determine the rank of the following matrix:
[[3, 4, 2, -4],
 [-12, 0, -8, 16],
 [-21, 12, -14, 28],
 [6, 4, 4, -8]]

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[18, -4, 4, -9],
 [-8, 4, 16, 24],
 [-6, 0, -12, -9],
 [-4, 2, 8, 12]]

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


[User]
Calculate the rank of matrix A where A =
[[-12, -5, 5, 3],
 [-13, 5, -12, -8],
 [14, -1, 15, 9],
 [12, 7, 14, 7]]

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


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

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


[User]
Determine the rank of the following matrix:
[[9, 8, 15, -16],
 [0, 8, 18, -18],
 [-24, -6, -3, 5],
 [-3, 22, 3, 10]]

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


[User]
What is the rank of the matrix:
[[-10, -4, 12, 24],
 [20, -8, -6, 8],
 [18, -34, 2, -4],
 [-2, 10, 0, 12]]?

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


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

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


[User]
Find the rank of the matrix:
[[29, -5, 19, -1],
 [-7, -5, -7, 3],
 [5, -17, -4, 7],
 [-5, -10, -9, 5]]

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


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

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


[User]
Find the rank of the matrix:
[[-11, 5, -8, -5],
 [10, -1, 10, 4],
 [-7, -11, -16, -1],
 [4, -3, 2, 2]]

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


[User]
Calculate the rank of matrix A where A =
[[-36, 8, -5, -11],
 [16, -21, -3, 19],
 [16, -13, -6, 14],
 [14, 4, -5, 1]]

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


[User]
Calculate the rank of matrix A where A =
[[-15, 9, 6, -12],
 [-2, 18, 2, -16],
 [7, -7, -3, 8],
 [9, -11, -4, 12]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-3, 8, -5, -2],
 [-11, 6, 5, 16],
 [9, -10, 1, -8],
 [-24, -26, 10, -16]]

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


[User]
Find the rank of the matrix:
[[0, 0, -12, 3],
 [8, -4, 12, 12],
 [-6, 3, -1, -11],
 [14, -7, 9, 24]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-1, 4, 2, 2],
 [2, 16, 2, 8],
 [9, -12, -12, -6],
 [3, 12, 0, 6]]

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


[User]
Determine the rank of the following matrix:
[[0, -16, -2, 17],
 [-21, -12, 21, 3],
 [7, 26, 2, -30],
 [9, 24, 3, -30]]

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


[User]
Calculate the rank of matrix A where A =
[[-24, 10, -4, -4],
 [3, 20, -32, 22],
 [21, -8, 8, 2],
 [-8, 14, -4, 4]]

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


[User]
Find the rank of the matrix:
[[13, 5, -8, 4],
 [-2, 14, -6, -6],
 [7, -13, -1, 11],
 [-5, -1, 0, 0]]

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


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

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


[User]
Find the rank of the matrix:
[[20, -16, -10, 0],
 [-13, 11, 7, -1],
 [-20, 16, 10, 0],
 [-20, 16, 10, 0]]

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


[User]
Find the rank of the matrix:
[[-9, -12, 18, -3],
 [-10, 6, 11, 6],
 [-14, -4, -12, 6],
 [-17, -3, -23, 9]]

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


[User]
Find the rank of the matrix:
[[-2, -6, -8, -4],
 [-7, -14, -18, -5],
 [-12, -8, -8, 12],
 [9, 13, 16, 0]]

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


[User]
What is the rank of the matrix:
[[0, -4, -8, -4],
 [0, -16, -22, -12],
 [0, 6, 12, 6],
 [0, -4, -13, -6]]?

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


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

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-4, 6, 0, -2],
 [2, 9, 8, -15],
 [-14, 12, -6, 5],
 [0, 3, 2, -4]]?

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


[User]
What is the rank of the matrix:
[[-4, -10, 6, 4],
 [10, -10, 22, -12],
 [8, 16, -10, -6],
 [11, 10, 2, -12]]?

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


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

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


[User]
What is the rank of the matrix:
[[6, 7, -5, -12],
 [12, -10, -16, 12],
 [-12, 2, 14, 0],
 [-12, 10, 16, -12]]?

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


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

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


[User]
What is the rank of the matrix:
[[2, 0, 0, -5],
 [-20, -8, 16, 6],
 [13, 5, -10, -5],
 [-8, -2, 4, 9]]?

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


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

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


[User]
Find the rank of the matrix:
[[-5, -14, -25, -13],
 [5, 14, 25, 13],
 [-6, 12, 2, 14],
 [-8, -8, -24, -6]]

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


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

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


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

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


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

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[22, -14, -10, -8],
 [-24, 23, 1, 10],
 [-21, 5, 1, -2],
 [-16, -2, 14, 0]]

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


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

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


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

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-23, 5, -13, -20],
 [-12, 23, -15, -8],
 [-15, -6, -4, -14],
 [17, -13, 10, 13]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-3, -9, 3, 12],
 [-13, -19, -15, 4],
 [10, 15, 11, -4],
 [-8, -9, -13, -4]]

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


[User]
Determine the rank of the following matrix:
[[8, -3, 4, 8],
 [-4, 14, 7, 12],
 [17, 4, 4, -5],
 [-4, -9, -5, -4]]

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


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

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


[User]
Find the rank of the matrix:
[[0, 2, -2, -12],
 [-14, 10, -10, -4],
 [-8, 4, -4, -12],
 [17, -9, 9, 21]]

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


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

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


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

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[14, 10, 10, 20],
 [1, -4, 9, 7],
 [8, 0, -19, -10],
 [3, 0, -21, -15]]

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


[User]
Determine the rank of the following matrix:
[[-14, 0, -18, 11],
 [-10, -4, -14, 12],
 [-14, 14, -10, -4],
 [1, -3, 3, 2]]

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


[User]
Calculate the rank of matrix A where A =
[[9, 15, 8, 0],
 [-18, -24, -14, 9],
 [13, 17, 10, -7],
 [-1, 1, 0, 4]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-12, 16, 17, -19],
 [4, 11, 6, -10],
 [8, 1, -3, 1],
 [4, 4, 1, -3]]

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


[User]
Determine the rank of the following matrix:
[[-2, -8, 28, -4],
 [-2, 4, -4, -4],
 [-12, 15, 0, -24],
 [-4, -4, 24, -8]]

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


[User]
What is the rank of the matrix:
[[-6, -12, -5, 2],
 [-6, 18, -3, 3],
 [-28, 4, 11, -6],
 [12, 0, -7, 4]]?

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[1, 12, 1, 0],
 [0, 4, 0, -1],
 [-2, 8, -2, -8],
 [4, -32, 4, 20]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-8, -12, 12, -16],
 [2, 6, -9, 19],
 [10, 12, -9, 5],
 [-4, -6, 6, -8]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-6, 15, -6, -3],
 [-2, -1, 2, -7],
 [1, -10, 6, -7],
 [5, -14, 6, 1]]

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


[User]
Find the rank of the matrix:
[[14, 16, 18, -8],
 [-4, -13, -7, 2],
 [16, -15, 13, -6],
 [16, 20, 20, 8]]

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


[User]
What is the rank of the matrix:
[[-2, -4, -8, 7],
 [20, -32, 8, -4],
 [11, -20, 2, 0],
 [-8, 20, 4, -5]]?

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


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

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-20, 24, 8, 28],
 [20, -24, -8, -28],
 [-7, 10, 6, 5],
 [-5, 6, 2, 7]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-7, -20, -3, 27],
 [2, 0, -12, 8],
 [1, 0, -6, 4],
 [2, 3, -17, 8]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[2, 0, -1, 1],
 [-6, 16, 2, -3],
 [-5, -4, -3, 9],
 [5, 4, 0, -3]]

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


[User]
Determine the rank of the following matrix:
[[8, -8, 28, -8],
 [0, 0, 0, 0],
 [-3, -3, 12, 3],
 [2, -6, 22, -2]]

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


[User]
What is the rank of the matrix:
[[-12, -2, -4, 6],
 [10, 4, -6, 9],
 [26, -15, 22, 23],
 [10, -3, 6, 5]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[-10, 8, -11, 18],
 [5, -6, 11, -15],
 [-17, -15, 10, 4],
 [12, 9, -15, 7]]

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


[User]
What is the rank of the matrix:
[[15, 8, 11, -4],
 [-9, 2, -7, -4],
 [-7, 11, -6, -12],
 [-11, 10, -9, -12]]?

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


[User]
Determine the rank of the following matrix:
[[-12, 11, -10, -3],
 [-9, -8, -1, 1],
 [12, -11, 10, 3],
 [-3, -16, 5, 3]]

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


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

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


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

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-14, -4, 21, -40],
 [23, 2, 1, 12],
 [24, 6, -2, 6],
 [8, 8, -22, 24]]

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


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

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


[User]
What is the rank of the matrix:
[[4, 12, 17, -14],
 [1, 3, 0, -12],
 [3, 9, 9, -18],
 [1, 3, 0, -12]]?

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


[User]
Calculate the rank of matrix A where A =
[[-2, 11, -2, 2],
 [-4, 8, -4, -2],
 [-14, 0, -14, -19],
 [2, 10, 2, 7]]

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


[User]
Find the rank of the matrix:
[[3, 1, 12, -4],
 [3, 3, 14, -7],
 [-3, -3, 4, 7],
 [6, -6, -2, 4]]

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


[User]
Calculate the rank of matrix A where A =
[[3, 18, 9, 3],
 [20, 8, 4, -4],
 [-4, 4, 2, 2],
 [-18, -10, -5, 3]]

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


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

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


[User]
What is the rank of the matrix:
[[6, 11, 3, -7],
 [9, 13, 3, -5],
 [-11, -12, -2, 0],
 [-6, 3, 3, -15]]?

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


[User]
Determine the rank of the following matrix:
[[11, 6, -1, 11],
 [-15, -6, 0, -11],
 [-1, 6, -1, 10],
 [28, 0, -5, 4]]

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


[User]
Determine the rank of the following matrix:
[[-3, -18, -3, 9],
 [-1, -18, 1, -1],
 [-7, -2, -3, 13],
 [10, 4, 4, -18]]

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


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

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


[User]
Determine the rank of the following matrix:
[[15, 11, 8, 18],
 [-12, -20, -20, -24],
 [11, -5, -10, 2],
 [9, 1, -2, 6]]

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


[User]
Find the rank of the matrix:
[[-6, 4, 2, 8],
 [0, -6, 3, -24],
 [-3, 3, -2, 16],
 [16, -8, -10, 0]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-29, 4, 7, -20],
 [7, -24, 17, 11],
 [-7, 8, 0, -10],
 [-12, -8, 5, -1]]

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


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

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


[User]
Determine the rank of the following matrix:
[[14, 0, 3, 0],
 [11, 17, 4, 36],
 [-8, -2, -4, -14],
 [-16, 4, -4, 4]]

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


[User]
Determine the rank of the following matrix:
[[-21, -3, -20, -10],
 [-15, 15, -4, 16],
 [-6, 0, -4, -2],
 [24, -17, 10, -16]]

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


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

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


[User]
What is the rank of the matrix:
[[4, 8, 0, -2],
 [-6, -7, 10, -7],
 [4, 2, -12, 10],
 [8, 11, -10, 6]]?

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


[User]
Find the rank of the matrix:
[[2, 1, 3, -3],
 [-6, -3, -9, 9],
 [20, 10, -2, -6],
 [4, 2, -18, 12]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-16, -7, 8, -4],
 [7, -10, -12, 7],
 [-10, -3, 2, -5],
 [19, -2, -20, 7]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-24, 0, 16, 12],
 [2, 8, -4, -1],
 [0, 0, 0, 0],
 [16, 4, -12, -8]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[12, -12, 20, -8],
 [-16, 4, -12, 4],
 [12, 15, -13, 7],
 [8, -20, 28, -12]]

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


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

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


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

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


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

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-19, 0, -20, -14],
 [-10, -11, -6, -7],
 [0, -23, 10, 1],
 [0, -19, 4, -1]]

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


[User]
What is the rank of the matrix:
[[4, -1, 7, 12],
 [-18, -3, -3, 8],
 [4, 2, -2, -15],
 [2, 1, 5, -13]]?

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


[User]
Find the rank of the matrix:
[[-9, 8, -13, 3],
 [5, -23, 20, -18],
 [-3, 25, -16, 20],
 [2, -6, -2, -3]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[10, 19, -9, -3],
 [-6, 11, -17, -27],
 [8, 0, 14, 12],
 [14, 13, 13, 3]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[10, -3, 3, 15],
 [-8, 12, 7, -8],
 [7, 12, 16, 16],
 [-10, 6, 0, -14]]

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


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

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


[User]
Find the rank of the matrix:
[[4, 6, 2, -10],
 [-12, -4, 2, -6],
 [4, 8, -14, 2],
 [-6, -8, 9, 1]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-14, -4, -8, 16],
 [12, -8, 24, 12],
 [-8, -8, 4, 22],
 [-12, -8, 0, 24]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[6, -7, -1, -5],
 [1, -6, 0, -7],
 [14, -20, -17, 11],
 [-3, 1, 4, -7]]

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


[User]
Calculate the rank of matrix A where A =
[[28, 0, 4, 24],
 [-6, -4, -1, -8],
 [9, 20, 2, 22],
 [-2, 8, 7, 4]]

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


[User]
What is the rank of the matrix:
[[3, 9, -3, -12],
 [-6, -9, 12, 3],
 [-3, -3, 7, -2],
 [-2, -9, 0, 15]]?

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


[User]
What is the rank of the matrix:
[[-3, -27, 25, -13],
 [5, 5, 17, -17],
 [-8, -2, 9, -12],
 [0, 6, -25, 22]]?

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-4, -10, -24, -26],
 [-9, 6, -7, -21],
 [-15, 12, 6, -18],
 [-2, -14, -20, -18]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[3, -4, 1, 4],
 [-2, -16, 10, -4],
 [-2, -2, 2, -3],
 [4, -24, 12, 4]]

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


[User]
What is the rank of the matrix:
[[8, -2, -14, -3],
 [3, -6, -7, -2],
 [1, 2, -1, 0],
 [-12, 0, 20, 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],
 [0, -4, -6, 6],
 [0, 2, 3, -3]]

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


[User]
Calculate the rank of matrix A where A =
[[4, 8, 5, -11],
 [8, 16, 4, -4],
 [10, 20, 7, -11],
 [-14, -28, -10, 16]]

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


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

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[0, 0, 0, 0],
 [-8, 16, -4, -8],
 [6, -12, -9, 12],
 [-12, 24, 10, -20]]?

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


[User]
Determine the rank of the following matrix:
[[-4, 2, 0, -8],
 [10, -2, 12, -10],
 [15, -4, 14, -5],
 [-4, 1, -4, 2]]

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[0, 3, 9, -9],
 [-8, 8, 8, 6],
 [0, 0, 12, -17],
 [-8, 6, 2, 12]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[30, -4, -6, 29],
 [-4, -13, -7, -2],
 [31, -9, -8, 28],
 [3, 13, 6, 4]]

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


[User]
Determine the rank of the following matrix:
[[19, 5, 8, -2],
 [7, 14, 17, -17],
 [-7, 3, 12, -14],
 [13, -5, 16, -8]]

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


[User]
Find the rank of the matrix:
[[-16, 20, -12, 24],
 [0, 3, -19, -5],
 [7, -8, 0, -12],
 [6, -9, 17, -5]]

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


[User]
Determine the rank of the following matrix:
[[16, 14, -19, 21],
 [5, 4, 1, 9],
 [-18, -18, 19, -31],
 [7, 8, -9, 14]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-6, 10, 12, -4],
 [-3, 6, 11, -2],
 [18, -20, 14, 12],
 [-12, 14, -6, -8]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[10, -15, -3, 3],
 [-11, 18, 7, -12],
 [-8, -6, -10, 6],
 [-9, 12, 3, -6]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-8, -9, -9, 22],
 [-7, -8, -12, -3],
 [-6, -1, -9, 16],
 [-4, -2, -6, 8]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-17, -1, 2, 3],
 [-6, -14, 1, 11],
 [6, 0, -16, 2],
 [-20, -4, 22, 2]]

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


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

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


[User]
Determine the rank of the following matrix:
[[18, 17, -4, -5],
 [-1, -6, 6, 1],
 [4, -4, 8, 0],
 [-11, -10, 2, 3]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[3, 13, 14, 6],
 [-5, 1, 14, 22],
 [11, -12, 10, 18],
 [-1, 2, -2, -4]]?

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


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

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


[User]
Find the rank of the matrix:
[[8, -6, 14, -6],
 [21, 2, 4, -13],
 [13, 1, 11, 0],
 [-5, -2, 6, 7]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[3, 9, -12, -5],
 [-3, 7, 0, -7],
 [0, -16, 12, 12],
 [-6, 14, 0, -14]]

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


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

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-11, 14, 6, 7],
 [-16, 9, 1, -3],
 [-4, -8, -1, 4],
 [-20, 12, 0, -8]]

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


[User]
Determine the rank of the following matrix:
[[-9, 3, 9, 0],
 [-9, 12, 6, -12],
 [-12, 7, 11, -4],
 [6, -17, -1, 20]]

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


[User]
Determine the rank of the following matrix:
[[-9, 15, -9, 12],
 [10, -8, 20, -4],
 [-3, 16, 12, 15],
 [-6, 3, -21, 3]]

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


[User]
Calculate the rank of matrix A where A =
[[10, 2, -4, -6],
 [-7, -9, 4, 9],
 [-15, -3, 6, 9],
 [14, -20, -2, 6]]

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


[User]
Find the rank of the matrix:
[[10, 6, 11, -12],
 [2, -8, 3, 7],
 [10, 4, 13, -20],
 [0, -1, 1, -4]]

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[1, 7, 8, 12],
 [2, 12, 10, 18],
 [-9, 5, -8, -8],
 [-6, -5, -7, -13]]

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


[User]
Find the rank of the matrix:
[[-2, -14, -8, 18],
 [0, 6, 24, 2],
 [13, 13, 4, 0],
 [8, 9, 4, -1]]

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


[User]
What is the rank of the matrix:
[[-8, -6, 10, -10],
 [4, 5, -9, 9],
 [12, 7, -11, 11],
 [-8, -6, 10, -10]]?

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


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

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


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

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[10, 10, -3, 5],
 [-25, -31, 3, 10],
 [-22, -22, 4, 2],
 [2, -6, -4, 18]]

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


[User]
What is the rank of the matrix:
[[-5, 6, -17, -2],
 [15, 9, -3, -18],
 [18, 9, 0, -20],
 [10, 6, -2, -12]]?

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


[User]
Determine the rank of the following matrix:
[[9, -10, 13, -14],
 [2, -12, 14, -12],
 [-8, -18, 19, -12],
 [14, 4, -2, -4]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[0, 4, 0, -12],
 [6, -2, -18, 12],
 [-1, -3, 3, 8],
 [-3, 1, 9, -6]]

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


[User]
Calculate the rank of matrix A where A =
[[22, -2, 14, -1],
 [-14, -9, 3, 8],
 [-35, 5, -24, 2],
 [-10, -5, 1, 7]]

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


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

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


[User]
What is the rank of the matrix:
[[1, -14, -1, 11],
 [11, 2, 3, 16],
 [12, 12, -2, -3],
 [-13, 2, 3, -8]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[12, -3, -5, 6],
 [-7, -8, 8, -15],
 [-4, 27, -6, 11],
 [-10, -4, 6, -8]]

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


[User]
Determine the rank of the following matrix:
[[-1, 2, -5, -1],
 [-2, 1, -5, -2],
 [10, 3, 21, -18],
 [14, 4, 20, 4]]

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


[User]
Determine the rank of the following matrix:
[[10, 11, -1, -4],
 [1, -4, 5, -14],
 [-2, -1, -1, 4],
 [0, -6, 6, -16]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[2, -6, 5, -4],
 [3, 9, 3, -15],
 [1, 15, -2, -11],
 [4, 0, 7, -14]]

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


[User]
Calculate the rank of matrix A where A =
[[4, 1, 3, 3],
 [-32, 4, 4, -4],
 [0, -9, -3, 15],
 [-2, 10, 2, -19]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[22, 0, -4, 22],
 [12, -2, 0, 12],
 [4, 3, -4, 4],
 [6, 21, -24, 6]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-1, -3, 1, 3],
 [-1, -3, 1, 3],
 [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:
[[0, -4, 8, -1],
 [23, 9, -27, 5],
 [-6, 2, 6, -5],
 [-19, -5, 23, -7]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-4, -4, 21, 19],
 [-6, 11, -25, -12],
 [-6, 7, 1, 6],
 [8, 4, -10, -16]]

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


[User]
Find the rank of the matrix:
[[-7, -10, -3, -13],
 [-6, -9, -3, -9],
 [3, 6, 3, -3],
 [0, 3, 3, -15]]

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


[User]
Find the rank of the matrix:
[[4, -2, -6, -20],
 [8, -4, 3, -5],
 [-4, 2, -3, -1],
 [2, -1, -9, -24]]

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


[User]
What is the rank of the matrix:
[[-21, 24, -12, 37],
 [-3, 6, -4, 9],
 [-2, -8, -2, -8],
 [3, 12, 6, 11]]?

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


[User]
Determine the rank of the following matrix:
[[20, 5, 5, 3],
 [4, 7, 7, 3],
 [32, -4, -4, 0],
 [4, -7, 9, -6]]

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


[User]
Determine the rank of the following matrix:
[[-1, 5, -7, 0],
 [-22, 2, -4, -6],
 [-25, -1, 0, -7],
 [4, -20, 28, 0]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[24, -12, -4, 16],
 [-12, 0, -9, -12],
 [4, -6, -8, 0],
 [2, 9, 18, 8]]

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


[User]
What is the rank of the matrix:
[[18, 11, 17, 0],
 [-6, -1, -4, -3],
 [2, -16, -4, 10],
 [-26, -7, -19, -10]]?

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


[User]
Calculate the rank of matrix A where A =
[[-8, 20, -14, -14],
 [2, 0, 1, 1],
 [2, -6, 4, 4],
 [-5, 13, -9, -9]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-13, -10, 1, 7],
 [20, 16, -2, -8],
 [16, 12, -1, -10],
 [-7, -6, 1, 1]]

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


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

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


[User]
Determine the rank of the following matrix:
[[24, -11, 32, -25],
 [-8, 3, -20, 9],
 [-26, 5, -29, 19],
 [18, 3, -3, -3]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[0, -8, -12, -6],
 [-16, -8, 12, 14],
 [7, 13, 9, 1],
 [15, 13, -3, -9]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[4, -4, -8, 6],
 [2, 2, 12, -7],
 [-2, -4, -20, 12],
 [-4, -2, -10, 6]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[7, 6, -1, 1],
 [13, 4, 1, 3],
 [-3, -14, 9, 3],
 [28, 14, -4, 4]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-8, 4, 8, -4],
 [-17, 10, 15, -3],
 [4, 16, 8, -4],
 [-8, 14, 12, -2]]

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


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

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


[User]
Find the rank of the matrix:
[[-11, -4, 6, -4],
 [-10, 0, 4, -2],
 [4, 8, -4, -4],
 [15, -20, 2, -6]]

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


[User]
Determine the rank of the following matrix:
[[-7, 5, 5, -3],
 [8, -8, -2, 0],
 [-10, 14, -4, 6],
 [-25, 19, 16, -9]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[20, 9, -4, -12],
 [0, 11, -4, 8],
 [-20, 3, -2, 24],
 [-14, -22, 12, -10]]

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


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

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


[User]
Determine the rank of the following matrix:
[[22, 2, 19, 3],
 [-12, -3, 1, -9],
 [2, -2, -8, 6],
 [-8, -11, -24, 8]]

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


[User]
Find the rank of the matrix:
[[5, 4, 21, -1],
 [6, 5, 29, -2],
 [-6, -3, 9, -6],
 [3, 5, 4, -1]]

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


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

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


[User]
What is the rank of the matrix:
[[22, 6, 12, -8],
 [2, 0, -12, 14],
 [4, 16, -8, 10],
 [4, 4, -8, 10]]?

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


[User]
Find the rank of the matrix:
[[-16, -12, 0, -12],
 [0, -7, 2, 1],
 [-6, -15, 3, -3],
 [0, 0, 0, 0]]

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


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

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


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

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


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

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[0, 19, 14, 8],
 [-3, -5, -3, -4],
 [-2, 7, 8, 16],
 [-12, -17, -10, -16]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-8, 3, 3, 9],
 [-8, -6, -12, -3],
 [16, 0, 24, 20],
 [-8, -9, -15, -4]]

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


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

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


[User]
What is the rank of the matrix:
[[4, -4, 8, -6],
 [-3, 9, -3, -12],
 [0, -4, -2, 11],
 [-4, 4, -8, 6]]?

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


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

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


[User]
What is the rank of the matrix:
[[10, 3, 11, -11],
 [-2, 0, 5, -8],
 [-6, 14, -2, -12],
 [-6, 4, -11, 8]]?

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


[User]
What is the rank of the matrix:
[[-10, 6, -10, -1],
 [-2, 4, 12, 18],
 [4, -4, 6, 15],
 [-6, 8, -4, -22]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[14, 19, 4, -9],
 [16, 6, 3, -15],
 [-14, -19, -4, 9],
 [8, 28, 4, 0]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[11, -6, -8, -5],
 [15, -16, -5, -10],
 [11, 16, -13, -30],
 [-10, 22, 0, -4]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-4, -8, 4, -28],
 [8, -2, -11, 8],
 [17, -8, -24, 7],
 [0, 6, 19, 4]]

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


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

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


[User]
Determine the rank of the following matrix:
[[18, 5, 9, -12],
 [9, -3, 0, -9],
 [-2, 8, 6, 6],
 [-10, 7, 3, 12]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-9, 7, -1, 7],
 [-6, -2, 6, 2],
 [21, -13, -1, -15],
 [-6, -2, 6, 2]]

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


[User]
Find the rank of the matrix:
[[3, 11, -6, 6],
 [6, -6, -5, -9],
 [-6, 14, -9, 3],
 [-12, -8, 15, 3]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[1, -7, -5, 5],
 [-2, -10, -14, 2],
 [4, 0, 8, 6],
 [3, 19, 25, -5]]

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


[User]
Find the rank of the matrix:
[[-22, -25, 15, 24],
 [9, 15, -5, -10],
 [9, 15, -5, -10],
 [-14, -14, 12, 16]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[16, -13, 8, -13],
 [10, -28, -2, -11],
 [7, -10, -6, 3],
 [-11, -4, 2, -7]]

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


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

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


[User]
Find the rank of the matrix:
[[6, -16, 2, 12],
 [1, 14, -11, -13],
 [2, -12, 6, 9],
 [-14, 6, 16, 1]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[6, 4, -6, 8],
 [-9, -32, 0, -28],
 [-9, 6, 5, -2],
 [-3, 4, 1, 1]]

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


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

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


[User]
Find the rank of the matrix:
[[-9, 4, -7, -16],
 [12, -6, 16, 20],
 [-12, 10, -19, -12],
 [3, -2, 5, 4]]

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


[User]
Determine the rank of the following matrix:
[[-16, -1, -13, -8],
 [11, -4, 8, 5],
 [-17, -8, 14, -18],
 [3, 6, -16, 8]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-19, -6, 14, -12],
 [-18, -10, 12, -12],
 [-14, 4, 14, -6],
 [-19, -9, 18, -6]]

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


[User]
Calculate the rank of matrix A where A =
[[-12, -8, 11, 12],
 [-20, -27, 7, -22],
 [-24, -20, 26, 0],
 [12, 6, -19, -8]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-3, 7, -10, -7],
 [4, 24, 8, 16],
 [-8, 12, -13, -7],
 [3, -5, -13, -16]]?

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


[User]
Find the rank of the matrix:
[[9, 5, 36, -1],
 [17, 11, 8, 15],
 [-21, -5, -12, 13],
 [-9, -3, 24, -3]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-11, -5, -7, -5],
 [-7, -1, -14, 25],
 [6, 0, 9, -4],
 [-7, 3, -15, 7]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-6, 0, 8, 5],
 [-11, 3, 8, 10],
 [0, 0, 14, 8],
 [17, 3, -13, -4]]

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


[User]
Find the rank of the matrix:
[[-9, 11, 11, 11],
 [7, -13, -12, -11],
 [1, -4, -6, -1],
 [-13, 7, 3, 15]]

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


[User]
Find the rank of the matrix:
[[-1, 4, -3, 2],
 [-9, 0, -19, -10],
 [0, -18, 4, -14],
 [-3, -15, -3, -15]]

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


[User]
Determine the rank of the following matrix:
[[0, -12, 9, -12],
 [9, -8, 3, -11],
 [-3, 4, -2, 5],
 [0, -8, 6, -8]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-5, -3, -17, -9],
 [-3, 9, -12, -9],
 [-2, 18, -10, -10],
 [2, -12, 9, 8]]

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


[User]
Find the rank of the matrix:
[[8, 5, 11, 0],
 [8, -7, -7, 4],
 [-18, -6, 12, 14],
 [4, -5, -3, 4]]

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


[User]
Calculate the rank of matrix A where A =
[[-16, 13, 14, -12],
 [-14, 17, 7, -6],
 [6, -2, -1, 0],
 [10, -19, -9, 9]]

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


[User]
Find the rank of the matrix:
[[-17, -10, -7, 8],
 [-13, 8, 7, 2],
 [10, -12, -10, 0],
 [22, 4, 2, -8]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[5, -15, 7, -3],
 [0, -10, 6, -4],
 [-1, 14, -8, 5],
 [-1, 4, -2, 1]]

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


[User]
Calculate the rank of matrix A where A =
[[12, -16, 16, -4],
 [-11, 10, -8, 6],
 [-7, 14, -16, 0],
 [-6, 22, -28, -5]]

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


[User]
Determine the rank of the following matrix:
[[-18, 6, -28, 18],
 [9, 0, 18, -9],
 [-12, 24, -16, 12],
 [-16, 8, -24, 16]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-12, 2, 0, 2],
 [-15, 6, 4, 1],
 [12, 12, 16, -8],
 [-6, 15, 16, -5]]

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


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

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


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

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-24, 4, -12, -16],
 [6, 20, 18, -2],
 [21, -7, 8, 15],
 [-6, -20, -18, 2]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-21, 31, -11, 19],
 [-15, 11, 7, 8],
 [-6, 11, -7, 6],
 [12, -4, -14, -5]]

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[0, 2, 1, 0],
 [4, 20, 8, 16],
 [0, 6, 3, 0],
 [-3, -15, -6, -12]]

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


[User]
What is the rank of the matrix:
[[-22, -10, -8, 4],
 [-12, -5, -8, 0],
 [15, 0, 10, 13],
 [-2, -7, 8, 16]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[9, 7, -4, -4],
 [-13, -19, 28, -2],
 [15, 9, 0, -9],
 [0, -8, 20, -7]]

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


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

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


[User]
What is the rank of the matrix:
[[-8, 20, -4, -4],
 [4, -28, 12, 8],
 [1, -7, 3, 2],
 [7, -13, 1, 2]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-12, 6, -3, -5],
 [9, -9, 3, 12],
 [-24, 0, -4, 12],
 [-12, 3, -3, 7]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-13, -6, -21, 14],
 [13, -8, 5, -14],
 [-19, -10, -11, 18],
 [7, 22, 11, -5]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[32, 2, -2, -11],
 [-4, -22, 20, -14],
 [28, 10, -8, -4],
 [-8, 16, 12, 10]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[0, 0, 0, 0],
 [0, 0, 0, 0],
 [-6, -4, 4, 6],
 [3, 2, -2, -3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-3, -6, 12, -12],
 [-2, -4, 8, -8],
 [0, 0, 0, 0],
 [2, 4, -8, 8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-1, -1, -4, 0],
 [5, 5, 11, 3],
 [7, 7, 10, 6],
 [-4, -4, 2, -6]]

Present the answer in LaTex format: \boxed{Your answer}