[User]
Calculate the rank of matrix A where A =
[[20, 2, 13, -5],
 [8, 11, 16, -5],
 [8, -16, -12, 4],
 [0, -2, 2, 8]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[20, -4, 16, 32],
 [-15, -10, 12, 20],
 [-12, 2, -15, -12],
 [15, 5, -6, 0]]

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


[User]
What is the rank of the matrix:
[[-9, 17, 23, 4],
 [9, -2, -3, -19],
 [-12, -7, -4, -9],
 [3, 12, 13, 7]]?

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


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

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


[User]
What is the rank of the matrix:
[[1, 15, -19, -16],
 [-3, 3, 1, -8],
 [0, 4, 5, 5],
 [-4, 4, 20, 8]]?

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[6, 0, -2, -20],
 [18, 12, -10, -4],
 [0, 6, -2, 28],
 [-3, 3, 0, 24]]

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


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

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


[User]
Find the rank of the matrix:
[[0, -5, 13, 11],
 [-7, 0, 0, 0],
 [9, -1, 3, 1],
 [-17, 7, -16, -22]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-15, -15, 4, -9],
 [3, 3, -11, 9],
 [2, -1, -6, 10],
 [16, 18, -1, 4]]

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


[User]
Find the rank of the matrix:
[[0, 2, 3, -5],
 [5, 2, 13, -6],
 [-2, 4, 0, -9],
 [-11, -4, -14, 8]]

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


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

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


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

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


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

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[16, 16, 10, -18],
 [2, 3, 4, -3],
 [-14, -5, 16, 9],
 [4, 10, 19, -9]]

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


[User]
Determine the rank of the following matrix:
[[-15, 13, 34, 26],
 [0, 2, -20, -21],
 [26, -5, -14, -3],
 [-24, -5, 10, 2]]

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


[User]
Calculate the rank of matrix A where A =
[[0, 2, -20, 4],
 [12, -8, 8, -22],
 [5, 1, -17, 0],
 [-15, -16, -3, -30]]

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


[User]
Calculate the rank of matrix A where A =
[[-5, -5, 26, -11],
 [16, -12, -16, 8],
 [-5, 25, 2, -7],
 [-3, -14, 9, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[0, 0, -6, 6],
 [0, -18, -12, -12],
 [0, 6, 10, -2],
 [0, 21, 15, 13]]

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


[User]
Determine the rank of the following matrix:
[[-3, 6, 9, 18],
 [-3, -7, 6, -7],
 [-4, 4, 6, 14],
 [13, 17, -13, 12]]

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


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

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


[User]
Find the rank of the matrix:
[[-5, -9, -11, 2],
 [-11, 21, 2, 0],
 [0, -12, -7, 2],
 [-18, 6, -22, -4]]

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


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

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


[User]
What is the rank of the matrix:
[[14, -6, -28, 24],
 [6, 21, -2, -4],
 [9, 7, -16, 8],
 [-5, -7, -3, -6]]?

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


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

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


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

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


[User]
What is the rank of the matrix:
[[5, -30, 6, -11],
 [4, -30, 0, -18],
 [-1, 21, 9, 6],
 [-2, 23, 6, 17]]?

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


[User]
What is the rank of the matrix:
[[8, -32, 12, 0],
 [-16, -12, 14, -1],
 [32, -4, -14, 7],
 [16, 32, -24, 0]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[6, -6, 9, -3],
 [14, -10, -11, 1],
 [20, -17, 6, -4],
 [0, 0, 0, 0]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[7, 17, 15, 14],
 [0, 2, -4, 10],
 [-4, -11, -8, -13],
 [-8, -12, -1, -1]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[0, -12, -3, 9],
 [-4, 24, 0, -8],
 [-4, -8, -8, 16],
 [4, -8, 4, -4]]

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


[User]
What is the rank of the matrix:
[[-17, -22, -24, -29],
 [-4, -8, 12, -1],
 [19, 18, 32, 31],
 [16, -18, 17, 4]]?

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


[User]
What is the rank of the matrix:
[[-12, -12, 4, 8],
 [18, 4, -6, -4],
 [-3, -17, 1, 10],
 [-15, -1, 5, 2]]?

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


[User]
What is the rank of the matrix:
[[-15, -10, 2, -13],
 [18, 11, -1, 14],
 [-1, 3, -5, 5],
 [-5, -5, 3, -7]]?

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


[User]
Calculate the rank of matrix A where A =
[[1, 2, 0, -3],
 [9, -14, -4, 5],
 [8, -8, -3, 0],
 [11, -10, -4, -1]]

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


[User]
Calculate the rank of matrix A where A =
[[-16, 13, -4, 8],
 [-4, 9, -1, 4],
 [-28, 9, -6, 4],
 [-6, 13, 0, -2]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-11, 0, -12, 6],
 [-2, 21, 8, 21],
 [5, -24, -6, -24],
 [13, 8, 18, 0]]?

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


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

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


[User]
What is the rank of the matrix:
[[0, 10, -8, -5],
 [15, -14, 11, 7],
 [12, -10, 7, 5],
 [-15, 4, -10, -2]]?

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


[User]
Find the rank of the matrix:
[[6, -3, 6, -9],
 [6, -6, 8, -6],
 [8, -7, 10, -9],
 [6, -9, 10, -3]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[1, 5, 10, 8],
 [10, -3, 0, -3],
 [5, 1, 11, 7],
 [-6, 1, -5, -2]]

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[4, 24, 0, -16],
 [-4, 12, 0, -16],
 [-8, -12, 0, 0],
 [3, -9, 0, 12]]

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


[User]
What is the rank of the matrix:
[[16, -6, 5, -19],
 [11, 3, 16, 1],
 [-15, -3, -12, 15],
 [-5, 9, 11, 20]]?

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


[User]
Find the rank of the matrix:
[[-12, -3, 12, 12],
 [22, -2, -18, -10],
 [-1, -4, 3, 7],
 [5, -10, 1, 13]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[15, -5, 7, 7],
 [-20, 0, 2, 2],
 [10, 0, -1, -1],
 [0, -10, 17, 17]]

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


[User]
Calculate the rank of matrix A where A =
[[-8, 16, 3, 20],
 [4, 4, -4, -8],
 [-6, -4, -2, -4],
 [-12, 7, 1, 12]]

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


[User]
Find the rank of the matrix:
[[12, -2, -4, -12],
 [-9, 3, 6, 8],
 [3, 10, 20, -10],
 [-6, -8, -16, 12]]

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


[User]
What is the rank of the matrix:
[[2, -6, -17, -17],
 [8, -6, -20, -14],
 [0, 8, 12, 16],
 [-8, 8, 23, 18]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[18, -8, -18, -4],
 [-18, 10, 17, 6],
 [1, -8, 2, -6],
 [-1, 1, -2, 7]]

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


[User]
Determine the rank of the following matrix:
[[3, -12, -6, -6],
 [0, 20, 8, 11],
 [18, 8, -4, 8],
 [18, 8, -4, 8]]

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


[User]
Determine the rank of the following matrix:
[[0, 0, 0, 0],
 [22, -20, 0, 1],
 [-16, 20, 10, -8],
 [6, 0, 10, -7]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-10, 6, -24, -2],
 [-23, -10, -2, 2],
 [24, 1, 10, -7],
 [10, 1, -4, -7]]

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


[User]
Calculate the rank of matrix A where A =
[[-28, -12, -8, -8],
 [8, 7, 13, 9],
 [6, -1, 6, -2],
 [1, 14, 17, 21]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-16, -14, 8, -20],
 [12, 12, -6, 17],
 [-4, 7, 2, 9],
 [-4, -8, 2, -11]]

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-3, 3, 0, -6],
 [3, 21, 0, 15],
 [9, -5, 6, 7],
 [2, -16, 9, -20]]

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


[User]
Calculate the rank of matrix A where A =
[[-15, 25, -9, -20],
 [16, -28, 12, 24],
 [-7, 11, -3, -8],
 [2, 4, -12, -12]]

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


[User]
Find the rank of the matrix:
[[-28, 18, 5, 4],
 [12, -5, 6, 20],
 [20, -14, -7, -12],
 [-16, 12, 8, 16]]

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


[User]
Calculate the rank of matrix A where A =
[[-16, -12, 4, -20],
 [-8, 24, -4, 8],
 [-18, 4, 1, -12],
 [2, -6, 1, -2]]

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


[User]
Calculate the rank of matrix A where A =
[[-8, -28, -12, 12],
 [-3, 9, 3, -3],
 [13, 0, 2, -2],
 [-10, -22, -10, 10]]

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


[User]
Find the rank of the matrix:
[[0, 3, 6, -12],
 [-1, 6, 5, -15],
 [-4, 11, -6, -8],
 [-6, 14, -14, -2]]

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


[User]
Calculate the rank of matrix A where A =
[[-5, 5, -10, 7],
 [-9, 14, 13, -12],
 [2, -3, -15, 13],
 [-24, 20, 4, -12]]

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


[User]
Calculate the rank of matrix A where A =
[[14, -8, -12, 4],
 [6, 3, -12, 3],
 [5, 1, -2, 4],
 [-14, -10, -20, -22]]

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


[User]
What is the rank of the matrix:
[[-16, 10, 14, 15],
 [-12, 6, -6, 9],
 [-28, 16, 8, 24],
 [21, -12, -6, -18]]?

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[3, -1, -2, -9],
 [-6, -8, 2, 18],
 [0, 5, 1, 0],
 [2, 16, 2, -6]]

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


[User]
Determine the rank of the following matrix:
[[5, 9, 2, 2],
 [-3, 0, -12, -3],
 [6, 12, 0, 2],
 [8, 18, -4, 2]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-1, -4, 3, 3],
 [8, 18, -14, -6],
 [-6, -10, 8, 0],
 [-6, -17, 13, 9]]

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


[User]
What is the rank of the matrix:
[[-23, 4, 12, 10],
 [12, 4, -18, 4],
 [-8, -6, -13, 19],
 [12, 4, -18, 4]]?

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


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

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, -4],
 [-12, -6, 6, 12],
 [4, 2, -2, -4]]

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


[User]
What is the rank of the matrix:
[[12, 3, -3, 9],
 [9, 9, -12, -3],
 [12, -6, 10, 22],
 [-14, 1, -3, -17]]?

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


[User]
Find the rank of the matrix:
[[-5, -10, -3, 18],
 [4, -9, 8, 5],
 [-1, -19, -18, 1],
 [-1, 12, 14, 6]]

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


[User]
Calculate the rank of matrix A where A =
[[3, 6, 9, 6],
 [-1, -8, -3, 2],
 [0, -12, 0, 8],
 [3, -12, 9, 18]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-11, -16, -3, -11],
 [-27, -9, 9, -9],
 [-22, -8, 9, -10],
 [1, 8, 18, -11]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-2, -5, 0, -11],
 [6, 10, -6, -2],
 [12, 21, -6, 3],
 [-8, -13, 10, 5]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[0, 8, 6, -2],
 [0, 16, 12, -4],
 [0, 12, 9, -3],
 [0, 4, 3, -1]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-11, -15, -8, -8],
 [-14, -10, -8, 4],
 [-19, -4, -14, 5],
 [5, 1, 7, 8]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-9, -12, -9, 0],
 [0, 16, 0, -12],
 [-5, 4, -5, -8],
 [2, -8, 2, 8]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-15, -7, -6, 2],
 [-5, -6, -9, 1],
 [4, 8, 10, 6],
 [-12, 3, 12, 0]]

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


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

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


[User]
What is the rank of the matrix:
[[-2, -17, -1, -10],
 [11, 20, 14, 3],
 [7, 0, 9, -14],
 [-14, 0, -22, 8]]?

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


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

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


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

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-3, -4, 0, -3],
 [1, 22, 3, 7],
 [1, -7, 0, 0],
 [-16, 3, 12, 1]]

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


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

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


[User]
What is the rank of the matrix:
[[-8, -8, -8, -32],
 [0, -6, 18, 0],
 [1, 2, -2, 4],
 [-1, 2, -10, -4]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[-2, 2, 3, -4],
 [16, 4, 17, 16],
 [8, 0, 14, 8],
 [-3, 1, -8, -3]]

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


[User]
What is the rank of the matrix:
[[4, -3, -2, -3],
 [26, 1, -10, 3],
 [-16, 25, 7, 8],
 [-24, 11, 6, -21]]?

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


[User]
What is the rank of the matrix:
[[-26, -7, -11, 17],
 [-20, 6, -10, 14],
 [8, 14, 2, -6],
 [-14, 5, -7, 9]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[5, -17, -24, 2],
 [8, -17, -10, 6],
 [-5, 2, -12, -2],
 [8, 4, 25, -5]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-3, -13, -16, -1],
 [-5, 4, 6, 3],
 [-1, 14, 18, 3],
 [-8, -20, -24, 0]]

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[15, 0, -3, 3],
 [-16, 9, -28, 10],
 [-9, -15, -7, 5],
 [-28, 3, -20, 6]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[13, -2, 10, -3],
 [22, 2, 0, -12],
 [-9, -4, 10, 9],
 [-9, 3, -12, 0]]

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


[User]
Determine the rank of the following matrix:
[[10, 3, 0, 13],
 [18, -10, 11, 8],
 [-12, -5, 1, -17],
 [-4, 10, -8, 6]]

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


[User]
Find the rank of the matrix:
[[-4, 2, -3, 0],
 [0, 24, 0, -12],
 [32, 8, 24, -12],
 [-12, -12, -9, 9]]

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


[User]
Find the rank of the matrix:
[[-14, 10, -7, -7],
 [4, 12, -11, 15],
 [-16, 0, 2, -18],
 [-4, 4, -3, -1]]

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


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

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


[User]
Find the rank of the matrix:
[[20, -9, -18, 17],
 [11, 2, -2, 8],
 [0, 21, 18, 3],
 [0, -28, -24, -4]]

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


[User]
Determine the rank of the following matrix:
[[14, -16, 10, -4],
 [0, 8, -1, 23],
 [8, -7, 5, 4],
 [-3, 5, -1, 5]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[13, 9, -7, 12],
 [-2, 12, 12, -2],
 [-1, -3, 3, -4],
 [10, 12, 6, 4]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-21, -21, 0, 21],
 [11, 7, -10, -10],
 [2, 10, 8, -6],
 [-11, -14, -18, 10]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[7, 4, -17, -12],
 [-10, -3, 20, 10],
 [-5, 28, 25, -12],
 [-15, -18, 0, 0]]

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


[User]
Find the rank of the matrix:
[[4, 4, 4, -6],
 [2, -2, 10, 2],
 [9, 11, 5, -16],
 [-3, -5, 1, 7]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[9, 15, 1, 1],
 [-9, -3, -5, 13],
 [-15, -6, -3, 16],
 [-2, -4, 20, -19]]

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


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

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


[User]
Determine the rank of the following matrix:
[[16, -4, 4, 8],
 [10, -10, 1, 11],
 [4, -6, 0, 6],
 [-2, -2, -1, 1]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[0, -8, -4, 14],
 [-9, 12, -3, -12],
 [-10, 16, -2, -18],
 [-1, 4, 1, -6]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-16, 16, -2, 4],
 [7, 15, -1, -2],
 [6, -4, 3, 13],
 [8, 28, -2, -2]]

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


[User]
What is the rank of the matrix:
[[6, 6, -8, -6],
 [3, -1, 4, -7],
 [-21, -18, 22, 24],
 [3, 3, -4, -3]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[9, -2, 10, 0],
 [6, -13, -7, -18],
 [17, -10, 7, -9],
 [-24, 15, -16, 15]]

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


[User]
Calculate the rank of matrix A where A =
[[-9, 5, 17, -17],
 [-3, 1, -9, 11],
 [-2, 5, 6, -1],
 [-3, 5, -1, 7]]

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


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

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


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

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-10, -8, -3, -14],
 [-10, -2, -2, -14],
 [21, 9, 15, 15],
 [2, 4, -4, 10]]?

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


[User]
Calculate the rank of matrix A where A =
[[3, 2, 6, 14],
 [-2, -1, -8, -11],
 [2, -15, -7, -1],
 [-2, 1, 4, -5]]

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


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

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-3, -3, -12, 9],
 [6, 6, -4, -18],
 [-5, -5, 1, 15],
 [-6, -6, -10, 18]]

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


[User]
Determine the rank of the following matrix:
[[-22, -10, 21, -20],
 [6, -10, -12, 20],
 [-8, 4, 15, -28],
 [4, 16, 0, -2]]

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


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

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


[User]
What is the rank of the matrix:
[[13, -4, -20, 12],
 [1, 0, 4, -4],
 [7, -1, 10, -12],
 [1, 0, 4, -4]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[16, -11, 11, -5],
 [9, -17, -2, 12],
 [5, -10, 3, -9],
 [4, -11, -1, 1]]

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


[User]
Calculate the rank of matrix A where A =
[[5, -2, 0, 6],
 [8, -1, -2, 11],
 [7, -5, 2, 7],
 [-2, 14, -12, 6]]

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, -4, -4, 4],
 [-4, 4, 4, -4]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-4, 0, 16, 4],
 [0, 12, -16, 8],
 [-4, -6, 24, 0],
 [-8, 15, 12, 18]]

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


[User]
What is the rank of the matrix:
[[-6, -18, -9, 14],
 [12, -12, -12, 4],
 [13, -5, -8, -1],
 [1, 7, 4, -5]]?

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


[User]
What is the rank of the matrix:
[[-10, 9, -8, 0],
 [-8, 4, -8, 0],
 [-10, 5, -16, -18],
 [-4, 14, 8, 18]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[7, 7, -10, 1],
 [11, 14, -10, -2],
 [-16, -19, -2, 11],
 [3, -12, 15, -6]]

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


[User]
Determine the rank of the following matrix:
[[-8, 3, 2, -1],
 [8, -6, -8, 22],
 [24, -10, -8, 10],
 [12, -3, 0, -9]]

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


[User]
Find the rank of the matrix:
[[7, -14, 0, 4],
 [1, -2, -3, 4],
 [6, -12, 3, 0],
 [-3, 6, 9, -12]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-8, -8, 0, 0],
 [-10, -6, -4, 4],
 [7, 5, 2, -2],
 [9, 7, 2, -2]]

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


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

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, -2, -8],
 [4, -8, 2, 8]]

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


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

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


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

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-13, 9, 12, 0],
 [8, -9, -21, -4],
 [17, -8, -3, 4],
 [-11, 8, 9, 0]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-11, -15, 4, -12],
 [6, 10, 23, -2],
 [1, 9, 4, 12],
 [6, 10, -16, 16]]

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-12, 12, 4, -4],
 [-13, 13, -13, -3],
 [-5, 5, 6, -2],
 [-11, 11, -5, -3]]?

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


[User]
What is the rank of the matrix:
[[-4, -6, 12, 19],
 [-6, 9, 0, -12],
 [-4, -2, 8, 10],
 [18, -11, -16, 0]]?

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


[User]
Find the rank of the matrix:
[[4, -6, 0, -4],
 [17, -9, 4, -20],
 [-14, -8, -10, 32],
 [15, -10, -1, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[6, -3, -12, 0],
 [-8, -5, -5, -3],
 [-16, -4, 4, -4],
 [12, -3, -17, 1]]

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


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

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


[User]
Find the rank of the matrix:
[[-4, -1, 10, -10],
 [-20, 12, 0, -17],
 [8, -12, 0, 14],
 [-16, 12, 12, -28]]

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


[User]
Determine the rank of the following matrix:
[[-1, -33, -12, -32],
 [-4, -24, -12, -20],
 [-13, -9, -4, -2],
 [15, -12, -13, -15]]

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


[User]
Find the rank of the matrix:
[[8, -16, 16, 4],
 [-6, 16, -20, -5],
 [6, -12, 12, 3],
 [10, -22, 24, 6]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[8, -7, 18, -17],
 [8, -12, 28, -32],
 [5, 6, -6, 3],
 [0, -6, 10, -8]]

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


[User]
Determine the rank of the following matrix:
[[4, -2, 8, 6],
 [0, 3, 15, 1],
 [1, -2, -10, 1],
 [13, -14, -4, 17]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[0, 1, 2, -7],
 [12, 4, 5, -19],
 [-8, -6, 18, 8],
 [4, 4, -17, -1]]

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


[User]
What is the rank of the matrix:
[[9, 12, 15, -8],
 [-11, -12, -19, 4],
 [2, 12, 4, -6],
 [2, -24, -2, -8]]?

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


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

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


[User]
Find the rank of the matrix:
[[-2, -1, -4, 1],
 [25, 8, 14, 6],
 [-15, -6, -2, -12],
 [-9, -6, -10, -6]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-14, 4, 12, -12],
 [-2, 4, 4, 0],
 [-6, 6, 8, -3],
 [-2, -8, -4, -6]]

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


[User]
Calculate the rank of matrix A where A =
[[2, -10, -2, 7],
 [-6, 1, -8, -14],
 [0, -14, 4, 6],
 [0, 22, 16, -4]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-10, 8, -4, 2],
 [-14, 8, -3, 0],
 [-11, 12, -7, 5],
 [16, -16, 9, -6]]

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[6, -24, -3, -4],
 [8, -13, 15, 1],
 [-6, 24, 3, 4],
 [-6, 9, -12, -1]]

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


[User]
Determine the rank of the following matrix:
[[-12, 10, 10, 18],
 [2, -3, 0, -2],
 [2, -15, -7, -4],
 [-4, -2, 2, 6]]

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


[User]
Calculate the rank of matrix A where A =
[[-9, -25, -7, 0],
 [3, -6, 14, 0],
 [0, 11, -3, 0],
 [21, -1, -15, 0]]

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


[User]
Find the rank of the matrix:
[[-15, -12, -8, 17],
 [6, 8, 4, -8],
 [9, 20, 8, -15],
 [-9, -20, -8, 15]]

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


[User]
Calculate the rank of matrix A where A =
[[-12, -2, -4, 6],
 [-10, 24, 20, -9],
 [-6, -1, -2, 3],
 [24, 4, 8, -12]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-24, -4, 6, 19],
 [24, 4, -6, -19],
 [24, 4, -6, -19],
 [-6, -2, 0, 8]]

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


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

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


[User]
Find the rank of the matrix:
[[0, 18, -9, -3],
 [17, -13, 1, -18],
 [16, 10, 17, -9],
 [8, -13, 0, -9]]

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


[User]
What is the rank of the matrix:
[[-20, 24, 8, 8],
 [-13, 3, -6, 1],
 [-2, -3, -4, -1],
 [-13, 12, 2, 4]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[-30, 21, -22, 2],
 [-12, 9, -10, -2],
 [10, -10, 8, 0],
 [10, -1, 2, -12]]

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


[User]
What is the rank of the matrix:
[[-8, 16, -4, 0],
 [-6, 7, -2, -4],
 [0, -5, 1, -4],
 [-2, 19, -4, 12]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[9, 8, -2, -8],
 [-4, -16, 8, -16],
 [-4, -16, 8, -16],
 [3, 5, -2, 1]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[5, -15, -16, -12],
 [-3, 13, -11, -9],
 [7, 3, -4, 0],
 [17, 17, -7, 3]]

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


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

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


[User]
What is the rank of the matrix:
[[-6, -1, 7, 4],
 [-2, 4, 11, -16],
 [-8, -2, 8, 8],
 [6, -1, -11, 4]]?

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


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

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


[User]
What is the rank of the matrix:
[[2, -9, 11, -9],
 [4, -15, 19, -15],
 [-2, 4, -6, 4],
 [3, -6, 9, -6]]?

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-4, 6, -1, -3],
 [11, -16, 2, 5],
 [13, -20, 4, 13],
 [-12, 18, -3, -9]]?

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


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

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


[User]
Find the rank of the matrix:
[[-7, 0, 0, 6],
 [7, 0, 0, -6],
 [2, -12, -12, 0],
 [-3, 18, 18, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[18, -32, 14, -22],
 [-17, 22, -5, 4],
 [10, -16, 6, -8],
 [11, -26, 15, -4]]

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


[User]
Calculate the rank of matrix A where A =
[[-16, -9, 0, -6],
 [-9, -6, 6, 18],
 [20, 11, -2, -12],
 [-1, -2, 5, 3]]

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[6, 10, 2, 0],
 [6, 11, 7, 0],
 [6, 13, 17, 0],
 [-2, -5, -9, 0]]

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


[User]
Find the rank of the matrix:
[[-5, -2, -3, -15],
 [-8, 4, -12, -12],
 [4, 1, 3, 11],
 [0, -3, 3, -5]]

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


[User]
What is the rank of the matrix:
[[-3, 12, 12, 20],
 [-4, -23, -9, 7],
 [0, -10, -6, -6],
 [4, 20, 9, -13]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[9, -6, 18, 9],
 [-9, 6, 17, -2],
 [-6, 4, -7, -5],
 [-15, 11, 10, -4]]

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


[User]
Find the rank of the matrix:
[[12, 2, -3, 5],
 [-9, -9, 9, 9],
 [11, 0, 21, 6],
 [0, -13, 0, 23]]

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[1, -5, 16, -12],
 [11, 3, -4, -4],
 [-16, -4, -4, 12],
 [4, -11, 10, -12]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-11, -19, -16, 8],
 [-10, 4, 10, -14],
 [4, 1, -1, 3],
 [-9, -25, -24, 16]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[20, 8, -10, 12],
 [-4, 16, 4, 8],
 [-8, -28, 5, -8],
 [10, 24, -6, 8]]

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


[User]
Find the rank of the matrix:
[[3, -15, 4, 16],
 [-1, -8, 16, 12],
 [-4, 7, 12, -4],
 [0, 6, -8, -8]]

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


[User]
What is the rank of the matrix:
[[-7, 4, 4, 3],
 [16, -13, -7, -6],
 [-5, 8, 0, 1],
 [15, -6, -10, -7]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[-24, -18, 4, 16],
 [-12, 0, 16, 0],
 [-15, -3, 6, 5],
 [6, 9, 6, -8]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[0, 18, -4, 0],
 [22, 22, -1, 1],
 [12, 10, 10, 6],
 [2, 25, 15, 11]]

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


[User]
Calculate the rank of matrix A where A =
[[0, 8, -6, -2],
 [2, 20, -11, -1],
 [2, -8, 10, 6],
 [1, 16, -10, -2]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-10, -12, 18, -2],
 [1, 4, 6, 3],
 [-4, -16, 0, -4],
 [10, -2, -3, 6]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-1, 1, -1, -3],
 [28, -7, 10, 0],
 [10, 1, -5, 1],
 [25, -8, 16, -8]]

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


[User]
What is the rank of the matrix:
[[-6, -10, -1, 8],
 [0, 8, 6, 2],
 [10, -2, -13, -12],
 [2, -4, -5, -6]]?

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


[User]
Calculate the rank of matrix A where A =
[[-5, 5, 4, 12],
 [7, -1, -5, -12],
 [16, -8, -12, -32],
 [-8, 4, 6, 16]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-12, -9, -3, -6],
 [-15, -7, 1, -8],
 [-6, 4, 8, -4],
 [28, 4, -12, 16]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-13, -1, 1, 8],
 [18, 0, -24, -18],
 [-25, -1, -3, 15],
 [-16, -4, -20, 2]]?

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-4, -8, 0, -6],
 [-8, -8, 1, -7],
 [-4, -16, -1, -11],
 [10, 4, -2, 5]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[7, -2, 2, -5],
 [0, 8, -15, 13],
 [-7, -6, 13, -8],
 [-13, -2, 7, 0]]

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


[User]
Determine the rank of the following matrix:
[[9, 0, 16, 2],
 [3, 16, 0, 6],
 [0, -6, 2, -2],
 [-6, -17, -5, -7]]

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


[User]
What is the rank of the matrix:
[[-9, -1, 8, 14],
 [-9, 4, 12, 15],
 [-9, 0, 10, 19],
 [-6, 7, 10, 5]]?

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[4, -16, -16, -4],
 [-12, -24, 0, 12],
 [7, 8, -4, -7],
 [3, -12, -12, -3]]?

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

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-12, -8, 7, 25],
 [0, 8, 6, -6],
 [-3, -11, -5, 13],
 [-3, -7, -2, 10]]

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


[User]
What is the rank of the matrix:
[[4, 0, -4, -28],
 [1, 0, -1, -7],
 [7, 0, -13, -16],
 [-6, 0, 12, 9]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[-8, -12, -4, -18],
 [6, 14, 2, 23],
 [-4, 0, 0, 12],
 [7, 8, 4, 11]]

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


[User]
What is the rank of the matrix:
[[10, 0, 14, 0],
 [24, 0, 0, 28],
 [-6, 0, 6, -12],
 [10, 0, 14, 0]]?

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


[User]
What is the rank of the matrix:
[[0, 10, 7, 5],
 [-5, -10, -4, -5],
 [-18, -1, 8, -2],
 [-11, -12, -13, -14]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[8, -15, 4, 2],
 [0, -12, 6, -15],
 [1, -16, 11, -16],
 [10, -21, 2, -2]]

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


[User]
What is the rank of the matrix:
[[8, -9, 9, 8],
 [-4, -1, -3, 0],
 [2, -5, 3, 4],
 [9, 5, 6, -2]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-26, -12, 9, -10],
 [-1, -12, -6, 3],
 [-4, 4, -24, 12],
 [12, -4, 12, -4]]

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


[User]
Calculate the rank of matrix A where A =
[[-12, 0, 0, 15],
 [11, -7, 7, -12],
 [11, 5, -8, -6],
 [0, 12, -15, 6]]

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


[User]
Calculate the rank of matrix A where A =
[[-1, 8, 6, -7],
 [-1, 14, 10, -11],
 [7, -12, -1, -13],
 [2, 1, 6, -16]]

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


[User]
Calculate the rank of matrix A where A =
[[-7, -9, 13, -12],
 [23, 15, -2, 25],
 [15, 9, 15, 8],
 [7, 9, -13, 12]]

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


[User]
Determine the rank of the following matrix:
[[9, 10, -1, 3],
 [3, 4, 6, -14],
 [-9, -9, 1, 3],
 [0, -6, -16, 12]]

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],
 [-12, 8, 12, 12],
 [3, -2, -3, -3]]

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


[User]
Calculate the rank of matrix A where A =
[[-1, -1, 0, 4],
 [8, -16, 4, 12],
 [3, -3, 1, -1],
 [-2, -8, 1, 19]]

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


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

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


[User]
What is the rank of the matrix:
[[16, 17, 2, -1],
 [20, 17, 2, 4],
 [-8, -21, -6, 20],
 [-4, 2, -28, 25]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[4, -21, 21, -28],
 [-18, 17, -9, 8],
 [-21, -1, -3, 6],
 [-4, -4, -12, 24]]

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


[User]
Determine the rank of the following matrix:
[[5, -2, -1, -6],
 [1, -9, 5, -2],
 [9, -9, 7, -10],
 [15, -14, 5, -18]]

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


[User]
Find the rank of the matrix:
[[-2, -18, -10, 6],
 [-4, -11, -10, 7],
 [-15, -25, 2, 4],
 [-15, -25, 2, 4]]

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


[User]
Determine the rank of the following matrix:
[[-12, 10, 16, 18],
 [-27, -3, 12, 11],
 [-15, -8, 4, 11],
 [-12, 2, 8, 7]]

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


[User]
Find the rank of the matrix:
[[5, 19, -20, 2],
 [-10, -17, 19, -11],
 [7, 1, -4, 6],
 [-3, 8, -9, -13]]

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[18, -3, 9, 15],
 [2, 25, 1, -1],
 [-6, 5, -1, -8],
 [20, 7, 12, 13]]

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


[User]
Calculate the rank of matrix A where A =
[[8, 10, -11, -10],
 [-14, -12, 12, 6],
 [20, 5, -7, 9],
 [4, -1, -1, 3]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[2, 7, -9, 9],
 [16, 12, -17, -5],
 [-12, -6, 9, 9],
 [4, 10, -13, 11]]

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


[User]
Find the rank of the matrix:
[[-6, -4, 3, -9],
 [6, 8, 0, -6],
 [-10, -8, 4, -10],
 [-15, -16, 3, 0]]

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


[User]
What is the rank of the matrix:
[[1, -2, 4, -3],
 [14, -8, -14, 8],
 [-16, 6, 5, -17],
 [-2, 2, -20, 1]]?

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


[User]
Determine the rank of the following matrix:
[[-6, 2, 15, -1],
 [-18, -10, 20, -2],
 [-8, -6, 7, 3],
 [2, -1, -7, -10]]

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


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

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-4, -5, -11, 6],
 [-17, 24, 2, -9],
 [-3, 1, -21, 9],
 [-2, 0, -7, 3]]?

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[3, 3, -6, 12],
 [12, -16, 8, 0],
 [9, -5, -2, 12],
 [1, -6, 6, -8]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-15, 15, -9, 20],
 [3, 1, -3, -4],
 [-24, 12, 0, 32],
 [0, -15, 18, 0]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[0, -22, -14, 10],
 [-6, 15, 11, -5],
 [-4, -17, -10, 10],
 [-6, -4, -1, 3]]

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


[User]
What is the rank of the matrix:
[[4, 12, 20, -16],
 [-12, 9, -3, -21],
 [-3, -4, 6, -5],
 [-3, -26, -16, 25]]?

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


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

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


[User]
Find the rank of the matrix:
[[23, 9, -1, -4],
 [-20, 1, -7, 4],
 [-7, 2, -8, 16],
 [-13, -6, 2, 0]]

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


[User]
Find the rank of the matrix:
[[-3, 12, -2, -10],
 [2, 24, 20, -12],
 [22, 0, 14, 2],
 [-5, -16, -7, 11]]

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


[User]
Determine the rank of the following matrix:
[[-3, 5, 5, 7],
 [-9, 18, 17, 25],
 [-12, 14, 16, 20],
 [0, 9, 6, 12]]

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


[User]
Calculate the rank of matrix A where A =
[[9, 21, 22, -6],
 [6, 0, -4, 10],
 [9, 15, 14, 0],
 [-9, -6, -2, -9]]

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


[User]
Determine the rank of the following matrix:
[[-11, 6, -1, -8],
 [-17, 11, -5, -17],
 [7, -3, 4, 5],
 [-22, 5, -16, -9]]

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


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

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[4, 12, -16, -12],
 [-1, -1, 0, 0],
 [-11, -25, 28, 21],
 [-9, -19, 20, 15]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-2, 11, 4, 6],
 [-14, 5, -16, -6],
 [-28, 28, -20, -12],
 [-10, -6, -18, -2]]

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


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

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


[User]
Find the rank of the matrix:
[[12, 1, 4, 2],
 [-19, -3, -14, 1],
 [1, -3, -4, 1],
 [-9, -4, -10, 1]]

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[1, 4, 1, 1],
 [-16, 1, 9, 19],
 [14, 4, -6, -14],
 [13, 0, -7, -15]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[18, -10, -2, 12],
 [12, -28, 4, 0],
 [-16, 0, 4, -14],
 [-16, 0, 4, -14]]

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


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

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


[User]
Find the rank of the matrix:
[[-2, 4, -20, -12],
 [1, -12, 32, 30],
 [-4, 5, 8, 12],
 [5, -30, 2, 14]]

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


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

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


[User]
What is the rank of the matrix:
[[2, 2, 4, -18],
 [-5, -1, -18, 27],
 [-1, -5, 6, -9],
 [-1, 1, -6, 3]]?

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


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

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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-3, -9, -3, -18],
 [-13, -3, 7, -16],
 [14, 3, -10, 4],
 [1, -15, -7, -14]]

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


[User]
Determine the rank of the following matrix:
[[23, -2, -24, -25],
 [-11, 17, 18, 26],
 [1, -2, -5, -7],
 [-21, -6, 15, 11]]

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


[User]
Calculate the rank of matrix A where A =
[[5, -3, 4, 14],
 [22, 3, 4, 13],
 [-19, -1, 2, -16],
 [-5, -1, 8, -2]]

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


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

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


[User]
What is the rank of the matrix:
[[16, 12, 12, -15],
 [8, 0, 0, -2],
 [-7, 3, 3, -1],
 [12, 0, 0, -3]]?

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


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

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


[User]
Find the rank of the matrix:
[[-8, 6, -2, -4],
 [4, -3, 1, 2],
 [-2, 6, 4, 14],
 [2, 3, 5, 16]]

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


[User]
Calculate the rank of matrix A where A =
[[-12, 8, 14, 28],
 [12, -3, -8, -20],
 [8, 6, 15, 24],
 [-36, 7, 9, 28]]

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-6, 9, 3, -12],
 [-13, -6, 5, -14],
 [14, 13, -5, 12],
 [-12, -16, 4, -8]]

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


[User]
Calculate the rank of matrix A where A =
[[12, -32, 0, -4],
 [2, 0, -8, -14],
 [-5, 12, 2, 5],
 [9, -20, -6, -13]]

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


[User]
Calculate the rank of matrix A where A =
[[0, -11, 7, -5],
 [-16, 1, 11, -17],
 [-1, -4, -8, 4],
 [-18, 2, 9, -17]]

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


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

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


[User]
What is the rank of the matrix:
[[4, 16, 20, -20],
 [18, 8, 2, -2],
 [7, -12, -20, 20],
 [1, -4, -6, 6]]?

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


[User]
Determine the rank of the following matrix:
[[0, 16, 2, 4],
 [-18, 5, -14, 17],
 [4, -18, 1, -8],
 [-14, 3, -11, 13]]

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


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

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


[User]
What is the rank of the matrix:
[[-8, 2, 4, -6],
 [18, -6, -12, 18],
 [0, 13, -2, 10],
 [-3, -2, 4, -8]]?

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


[User]
Determine the rank of the following matrix:
[[-4, -16, -10, -10],
 [-23, -36, -11, -4],
 [-31, -20, 8, 9],
 [13, 12, -1, -10]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-11, -7, -17, -16],
 [6, 6, 8, 8],
 [9, -7, -9, 0],
 [-17, -5, -11, -16]]

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


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

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[0, 4, 1, -4],
 [3, 2, 2, -4],
 [-15, -2, -8, 12],
 [0, 16, 4, -16]]

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


[User]
Determine the rank of the following matrix:
[[-20, 4, -18, -12],
 [5, -1, 5, 12],
 [9, -1, 7, -8],
 [23, -5, 20, -2]]

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


[User]
Calculate the rank of matrix A where A =
[[-9, 7, 15, 13],
 [11, -3, -5, -2],
 [-21, 3, 3, -3],
 [10, -10, -22, -20]]

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


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

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


[User]
Find the rank of the matrix:
[[-8, -5, -18, 11],
 [17, 11, -3, -2],
 [10, 8, 14, -10],
 [19, 24, -3, -7]]

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


[User]
Determine the rank of the following matrix:
[[15, -5, -4, -9],
 [-3, -9, -9, 0],
 [-12, 6, -3, 9],
 [-3, -3, 3, 0]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[19, -7, -11, -15],
 [20, -4, -12, -16],
 [-4, 20, 0, 2],
 [-4, -12, 4, 4]]

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


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

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


[User]
What is the rank of the matrix:
[[-4, -24, -20, -8],
 [20, 0, -14, -20],
 [4, 24, 20, 8],
 [9, -6, -12, -12]]?

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


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

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


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

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


[User]
What is the rank of the matrix:
[[9, 12, 9, 3],
 [-2, -4, 2, 6],
 [-8, -10, -10, -6],
 [0, 2, -6, -10]]?

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


[User]
Determine the rank of the following matrix:
[[-7, -5, -10, -6],
 [-5, -8, 17, -3],
 [-6, 7, 0, -19],
 [1, -4, 22, 3]]

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


[User]
Calculate the rank of matrix A where A =
[[13, 13, -10, -7],
 [-13, 6, 4, 24],
 [0, 7, -12, -1],
 [27, 17, -21, -26]]

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


[User]
What is the rank of the matrix:
[[-14, -12, 10, 14],
 [-17, 4, 1, 4],
 [4, 40, -4, -24],
 [-8, 4, 20, 6]]?

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


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

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


[User]
Find the rank of the matrix:
[[10, -16, 2, 7],
 [13, -14, 1, 7],
 [-1, -10, 3, 1],
 [0, 8, -2, -2]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-21, 8, 7, 15],
 [3, 29, -1, 8],
 [-15, -7, 5, 8],
 [18, 8, -6, -4]]

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


[User]
Calculate the rank of matrix A where A =
[[-12, -1, -4, 9],
 [-16, -3, -4, 13],
 [-12, -1, -4, 9],
 [16, 8, 0, -16]]

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


[User]
Determine the rank of the following matrix:
[[-23, -13, -8, 6],
 [-14, -4, -8, -6],
 [-24, -19, -10, 3],
 [-3, -3, -9, -21]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[10, 0, -5, 2],
 [-22, 0, 8, -14],
 [16, 0, -9, 0],
 [-2, 0, -2, -10]]

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


[User]
What is the rank of the matrix:
[[6, -18, 0, 18],
 [-3, -12, -6, 12],
 [7, -14, 2, 14],
 [7, 0, 6, 0]]?

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


[User]
Calculate the rank of matrix A where A =
[[0, 8, -12, 28],
 [-24, 20, 0, 10],
 [20, -18, 2, -13],
 [8, -2, -7, 13]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-11, 9, -5, 14],
 [-3, 7, -4, 8],
 [-1, 5, -12, 8],
 [14, 14, -16, 8]]

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


[User]
Determine the rank of the following matrix:
[[6, 8, -2, -7],
 [6, 8, 12, -8],
 [-20, 6, 16, 4],
 [-12, -8, -4, 10]]

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


[User]
What is the rank of the matrix:
[[32, -29, -19, -4],
 [-3, 0, -2, 6],
 [25, -8, -9, -16],
 [8, 19, 9, -28]]?

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


[User]
What is the rank of the matrix:
[[12, 26, 25, 15],
 [12, 8, 10, 7],
 [16, 16, 24, 20],
 [0, 3, 6, 6]]?

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


[User]
Calculate the rank of matrix A where A =
[[4, -6, 5, -21],
 [2, 0, 3, -11],
 [5, -15, -9, 13],
 [0, -24, -4, 4]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-24, -8, -32, 2],
 [-10, -9, -12, -5],
 [-14, -14, -16, -10],
 [-4, 20, 0, -12]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[-15, -5, -2, 5],
 [-1, -11, -2, -5],
 [10, -1, 2, -7],
 [10, -7, 0, -9]]

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


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

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


[User]
Find the rank of the matrix:
[[28, -31, -20, 19],
 [2, 4, -12, 0],
 [25, -16, -34, 20],
 [-10, -2, 24, -12]]

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


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

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


[User]
Find the rank of the matrix:
[[-15, -7, 0, 1],
 [9, 5, 11, 10],
 [10, 2, -2, -4],
 [5, 5, -11, -9]]

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


[User]
Calculate the rank of matrix A where A =
[[-7, 2, 4, 4],
 [-3, 4, 2, -4],
 [0, 11, 1, -20],
 [5, -14, -4, 20]]

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


[User]
Determine the rank of the following matrix:
[[12, -12, 10, 16],
 [-10, -8, 1, 0],
 [-14, 6, -9, -12],
 [12, -27, 18, 27]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-8, -8, -13, -23],
 [8, -1, 8, 5],
 [16, 1, 8, 7],
 [-8, -4, 15, 9]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-3, -15, -3, 0],
 [1, 11, 7, 8],
 [0, 0, 0, 0],
 [1, 2, -2, -4]]

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


[User]
Calculate the rank of matrix A where A =
[[-27, 16, 20, 4],
 [2, -11, -3, -8],
 [-24, 22, 17, -1],
 [18, 2, -17, -23]]

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


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

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


[User]
Determine the rank of the following matrix:
[[9, 0, 0, -11],
 [5, 4, 5, 1],
 [-4, 4, 5, 12],
 [5, 5, 7, 4]]

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


[User]
What is the rank of the matrix:
[[1, -12, -1, -13],
 [-6, 16, 1, 34],
 [5, 0, 4, -13],
 [10, 0, 8, -26]]?

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


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

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


[User]
Find the rank of the matrix:
[[12, -2, -12, -14],
 [4, -4, 6, -8],
 [-4, -1, 9, 3],
 [-2, 3, -6, 5]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-1, 0, -2, -3],
 [-2, 2, -1, 4],
 [1, -4, -4, -17],
 [-4, 0, -8, -12]]

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


[User]
Calculate the rank of matrix A where A =
[[-9, 7, -16, -7],
 [6, -6, 12, 6],
 [9, -7, 16, 7],
 [-9, 15, -24, -15]]

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


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

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


[User]
What is the rank of the matrix:
[[-20, -5, 11, -14],
 [-23, 3, 7, -14],
 [26, 14, -13, 4],
 [-4, 8, -10, 16]]?

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


[User]
Calculate the rank of matrix A where A =
[[-2, -14, 2, -6],
 [9, 24, -6, 6],
 [6, 8, 16, -4],
 [5, -4, -2, -6]]

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


[User]
Calculate the rank of matrix A where A =
[[1, 8, 8, -19],
 [-11, -6, 8, -23],
 [13, 11, -5, 16],
 [-6, -5, 1, -9]]

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


[User]
What is the rank of the matrix:
[[16, 6, -4, 30],
 [-12, -6, 4, -10],
 [12, 15, 4, 17],
 [-6, 21, 21, 0]]?

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


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

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


[User]
What is the rank of the matrix:
[[-8, -28, -8, 8],
 [-15, 2, 17, -9],
 [-4, -14, -4, 4],
 [8, 18, -3, -3]]?

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


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

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


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

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


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

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-16, -10, -6, 4],
 [-4, -6, 9, -13],
 [-4, -4, 3, -5],
 [-16, -11, -3, 0]]?

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


[User]
Calculate the rank of matrix A where A =
[[-16, -21, 0, -22],
 [-1, 6, 13, 10],
 [12, 9, -12, 6],
 [12, 18, 4, 20]]

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


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

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-12, 24, -6, -9],
 [-8, -4, -14, 9],
 [8, -24, 0, 12],
 [12, 0, 18, -9]]?

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[4, 2, -6, -4],
 [-1, 15, 11, -12],
 [-7, 29, 4, -32],
 [2, 0, -1, 0]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[0, 6, 8, 4],
 [-8, -16, -22, -4],
 [-8, -4, -6, 4],
 [4, -7, -9, -8]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-9, -3, -9, 9],
 [-10, 0, -6, 20],
 [-10, 0, -6, 20],
 [0, 0, 0, 0]]

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


[User]
Find the rank of the matrix:
[[9, -12, -3, 21],
 [7, 0, 3, -5],
 [-18, 10, -2, -10],
 [18, -10, 2, 10]]

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


[User]
Find the rank of the matrix:
[[8, 3, 12, 10],
 [11, -6, 12, 7],
 [17, -6, 20, 13],
 [-12, 0, -16, -12]]

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


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

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


[User]
Determine the rank of the following matrix:
[[13, -2, -13, 1],
 [-14, -10, 6, -10],
 [1, -2, -5, -1],
 [16, 6, -16, 8]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[0, 12, 0, -12],
 [3, 5, 3, -6],
 [-15, -4, -15, 9],
 [21, 2, 21, -9]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[10, 10, 7, 12],
 [12, -4, -10, -12],
 [8, 8, 7, 11],
 [-2, -16, -19, -27]]

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


[User]
Calculate the rank of matrix A where A =
[[-10, -24, -2, 19],
 [-5, -4, 4, 1],
 [-6, -18, 3, 12],
 [1, 6, -1, -4]]

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


[User]
Determine the rank of the following matrix:
[[-4, -6, 16, 6],
 [9, 7, -17, 0],
 [-1, -4, 14, 10],
 [-7, -2, 22, 16]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[12, -13, 16, 13],
 [8, 12, -24, -20],
 [16, 9, -6, -7],
 [-30, 10, -6, -4]]

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


[User]
Determine the rank of the following matrix:
[[3, -5, 4, 3],
 [-8, -4, 40, 2],
 [10, 16, -36, -5],
 [3, 17, 8, -4]]

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


[User]
Calculate the rank of matrix A where A =
[[-22, -17, 6, -13],
 [0, -20, -8, 4],
 [-6, -11, -17, 1],
 [-11, 1, -5, -6]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[12, -6, 23, -8],
 [-3, -5, 24, -15],
 [10, 24, 4, -8],
 [-12, -23, 14, -5]]

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


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

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


[User]
What is the rank of the matrix:
[[-14, 10, 13, -2],
 [18, -10, -14, 2],
 [-6, 0, 12, 2],
 [-12, 0, 3, 0]]?

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[7, 14, -15, -7],
 [-8, -7, 17, 4],
 [-4, -5, 8, 3],
 [2, 14, -2, -8]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[4, 6, 9, -6],
 [-3, 4, -2, 0],
 [9, -18, 20, -13],
 [17, 0, 24, -12]]

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-16, -12, -10, -14],
 [-8, 4, 6, 2],
 [8, -14, -17, -11],
 [-12, -14, -13, -15]]

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


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

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


[User]
What is the rank of the matrix:
[[0, 10, 4, -4],
 [-16, -12, 12, 18],
 [-8, -18, 12, 12],
 [8, 24, -30, -11]]?

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


[User]
Find the rank of the matrix:
[[5, -10, 8, -12],
 [16, -5, 16, -18],
 [-11, 4, -10, 8],
 [20, -13, 23, -30]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-6, -10, -14, -6],
 [-3, 17, 23, 5],
 [-6, 5, 1, -6],
 [0, 9, 15, 6]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[4, -6, -10, 14],
 [16, 21, -5, -9],
 [-7, -12, 0, 8],
 [13, 12, -8, 0]]

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


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

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


[User]
Determine the rank of the following matrix:
[[2, 1, 4, 1],
 [-2, 19, 8, 11],
 [0, 0, 0, 0],
 [-10, 15, -8, 7]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[12, 7, -13, 15],
 [-14, 22, -6, -6],
 [4, -8, 4, -3],
 [-7, 20, -10, 3]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[10, -14, 2, -20],
 [-6, -1, 3, 8],
 [3, 13, -12, 4],
 [-7, -2, 13, 4]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[0, -6, -8, -1],
 [-12, -9, -6, -9],
 [10, -12, 18, 8],
 [7, -5, 5, 5]]

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-7, 4, 1, -2],
 [-1, -13, -23, -4],
 [-9, 8, 3, -6],
 [-14, 8, 14, 12]]

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


[User]
Determine the rank of the following matrix:
[[0, -4, -3, 8],
 [-6, -10, 17, -9],
 [-9, -8, 6, -11],
 [0, 8, -6, -8]]

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


[User]
Calculate the rank of matrix A where A =
[[-6, 2, 2, 2],
 [-3, 1, 1, 1],
 [6, 10, -11, -8],
 [-15, -3, 11, 9]]

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


[User]
Find the rank of the matrix:
[[-10, 11, -3, -11],
 [7, -9, 6, -3],
 [-14, 7, -3, 17],
 [-1, -1, 0, 7]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-2, 5, -4, -6],
 [-16, 1, -14, -5],
 [21, 19, 9, -18],
 [12, -4, 12, 4]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[11, 5, 7, -10],
 [20, 12, 8, -16],
 [-11, -13, 6, 4],
 [-5, -3, -2, 4]]

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


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

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


[User]
What is the rank of the matrix:
[[2, -13, 10, -7],
 [1, -14, 14, -5],
 [-7, 8, 10, 17],
 [-4, 11, -2, 11]]?

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-6, 7, 0, 0],
 [18, -1, 3, -8],
 [-12, -6, -15, 10],
 [2, -17, -3, 6]]

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


[User]
Calculate the rank of matrix A where A =
[[13, 9, 11, -18],
 [21, 3, 9, -9],
 [-21, -9, -11, 6],
 [-20, -15, -11, -6]]

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


[User]
What is the rank of the matrix:
[[-8, 5, -19, -5],
 [-26, 16, -5, 18],
 [8, -6, -6, -10],
 [7, -10, 2, -4]]?

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


[User]
Determine the rank of the following matrix:
[[10, -14, -2, -2],
 [20, -16, 0, 1],
 [3, 13, -1, 15],
 [2, 8, 4, 3]]

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


[User]
Calculate the rank of matrix A where A =
[[4, -7, 12, -15],
 [-2, -7, 15, -17],
 [2, -11, 21, -25],
 [-14, 2, 3, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[-18, 12, 9, -5],
 [-25, -7, 24, 3],
 [-17, -9, 8, 12],
 [3, 13, -17, 1]]

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


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

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[2, 1, -1, -7],
 [-1, 1, 1, -5],
 [-10, 1, 4, 7],
 [-21, 6, 7, -2]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-6, -20, 9, 3],
 [13, -4, 4, 9],
 [8, 4, -1, 3],
 [-25, -12, 5, -6]]

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


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

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


[User]
What is the rank of the matrix:
[[3, -10, 3, 7],
 [-6, 4, -4, 1],
 [2, -2, 3, 9],
 [-5, -14, -1, 18]]?

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


[User]
Determine the rank of the following matrix:
[[10, 5, 6, -24],
 [-10, -5, -6, 24],
 [0, 0, -1, -11],
 [-8, -4, -7, -5]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-7, -14, -4, -19],
 [-5, -10, 4, -5],
 [2, 4, 8, 14],
 [4, 8, -16, -12]]

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[2, -4, -4, -9],
 [16, -9, 14, -21],
 [18, -11, 14, -6],
 [16, -12, 8, -12]]?

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


[User]
Calculate the rank of matrix A where A =
[[-24, 15, -15, 0],
 [8, -4, 8, -4],
 [20, -11, 17, -6],
 [0, -3, -9, 12]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-4, 8, 9, -20],
 [0, -8, -10, 24],
 [2, 2, 3, -8],
 [8, 4, 7, -20]]

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


[User]
Find the rank of the matrix:
[[3, 3, -4, 1],
 [5, -12, 16, 13],
 [-1, 6, -8, -5],
 [-7, 9, -12, -13]]

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


[User]
Find the rank of the matrix:
[[-11, 17, -30, -15],
 [3, 21, -30, -19],
 [12, 6, 6, 9],
 [-8, 5, -18, -15]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[3, -4, 4, -15],
 [3, 4, 20, -3],
 [4, 8, 32, 0],
 [-2, -4, -16, 0]]

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-7, 1, -4, 14],
 [-18, -12, -3, 2],
 [-28, -20, -4, 0],
 [13, 5, 4, -10]]

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


[User]
Find the rank of the matrix:
[[4, -2, -7, 10],
 [2, 2, -2, 2],
 [-9, 3, 15, -21],
 [-12, 4, 20, -28]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-3, 1, 2, -4],
 [-6, 6, 6, 4],
 [18, -10, -14, 12],
 [-6, -2, 2, -20]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-11, -3, -1, -3],
 [-4, -3, -2, -3],
 [6, 15, 12, 15],
 [-6, -15, -12, -15]]

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


[User]
Determine the rank of the following matrix:
[[5, 7, -21, 9],
 [-3, 12, -9, 0],
 [2, 10, -18, 6],
 [-1, -5, 9, -3]]

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


[User]
Find the rank of the matrix:
[[-4, 7, 2, -7],
 [4, -7, -16, 5],
 [-4, -3, -14, -5],
 [4, -6, 8, 8]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[0, 21, 1, 16],
 [3, -3, 2, -4],
 [5, -12, 3, -12],
 [-8, 15, -5, 16]]

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


[User]
Determine the rank of the following matrix:
[[-2, -10, 4, 4],
 [-9, 20, -2, -19],
 [5, -6, -8, 21],
 [-7, -4, 12, -17]]

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


[User]
Calculate the rank of matrix A where A =
[[-10, 9, -11, 13],
 [-18, 9, -15, 9],
 [-6, 3, -5, 3],
 [4, 0, 2, 2]]

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


[User]
Find the rank of the matrix:
[[0, 0, 0, 0],
 [-6, 4, -6, 8],
 [12, -8, 12, -16],
 [-9, 6, -9, 12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-12, 11, -7, -8],
 [-3, 1, 0, 12],
 [6, -8, 6, 24],
 [-21, 18, -11, -4]]?

Present the answer in LaTex format: \boxed{Your answer}