[User]
Calculate the rank of matrix A where A =
[[-6, -8, 0, -2],
 [-7, -9, -1, -2],
 [-5, -5, -8, 3],
 [0, -2, 8, -4]]

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


[User]
Find the rank of the matrix:
[[7, -4, -4, -2],
 [-1, 16, -11, 17],
 [6, 0, -6, 2],
 [-4, 4, 1, 3]]

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


[User]
What is the rank of the matrix:
[[16, 14, 5, -2],
 [0, -14, 7, 2],
 [-10, -24, 3, 1],
 [-6, -21, 6, 3]]?

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


[User]
Find the rank of the matrix:
[[-2, 14, -10, 14],
 [-3, 2, -6, -20],
 [5, -8, -2, -2],
 [-12, 5, 21, -9]]

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


[User]
What is the rank of the matrix:
[[-13, -7, 14, 6],
 [6, 2, -8, -2],
 [-1, 5, 8, -3],
 [9, 11, -2, -8]]?

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


[User]
What is the rank of the matrix:
[[-4, 6, -6, 8],
 [6, 7, -3, 0],
 [-6, 17, -15, 18],
 [-4, 6, -6, 8]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[0, 6, -6, -18],
 [-1, -3, 1, 4],
 [2, 10, -6, -20],
 [-1, -3, 1, 4]]

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[2, 24, -10, -12],
 [4, 32, -4, -12],
 [-4, -8, -20, -6],
 [-4, -12, -16, -3]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-9, 18, 7, -6],
 [-3, -5, 6, -13],
 [-3, 16, -1, 8],
 [-12, 7, 15, -25]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[-8, -12, -16, -8],
 [-5, 12, 20, 16],
 [4, 6, 8, 4],
 [2, 16, 24, 16]]

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


[User]
Determine the rank of the following matrix:
[[-14, -2, -12, 20],
 [11, 0, 9, -14],
 [11, 8, -12, -20],
 [12, -6, 2, -8]]

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


[User]
What is the rank of the matrix:
[[1, -16, 19, 7],
 [-2, 1, -3, 3],
 [-2, 8, 2, -6],
 [-3, -10, -7, 17]]?

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


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

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


[User]
Find the rank of the matrix:
[[18, -13, -22, 17],
 [-15, 13, 14, -5],
 [12, -4, -24, 4],
 [-15, 15, 10, -7]]

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


[User]
What is the rank of the matrix:
[[-6, -8, 4, 4],
 [1, 4, -10, -6],
 [6, 4, 10, 4],
 [3, 0, 12, 6]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[10, 10, 3, -17],
 [-21, -12, 6, 9],
 [-11, -5, 27, -11],
 [4, 2, 21, -13]]

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


[User]
What is the rank of the matrix:
[[-5, 1, -12, 7],
 [-5, 7, -14, -1],
 [-2, 10, -8, -10],
 [0, -6, 2, 8]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[11, -7, 0, 0],
 [-1, 1, -12, 8],
 [6, 0, 7, 0],
 [19, -15, 1, -4]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-28, 2, 16, 37],
 [0, -9, -9, -9],
 [-8, 1, 5, 11],
 [-8, -6, -2, 3]]

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


[User]
What is the rank of the matrix:
[[-4, 12, -12, -4],
 [2, -12, 6, -12],
 [10, 6, 0, 4],
 [2, 30, -20, 8]]?

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


[User]
Find the rank of the matrix:
[[-22, 16, 28, -8],
 [8, -4, 6, -2],
 [-12, 8, 8, -2],
 [2, 6, 25, 0]]

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


[User]
What is the rank of the matrix:
[[-15, 8, -10, 0],
 [5, 11, 1, -13],
 [1, 0, 4, -2],
 [12, -7, 14, -2]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[-2, 0, 0, -10],
 [26, 6, -8, -6],
 [18, 1, -3, -6],
 [-18, -8, 9, 18]]

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


[User]
Determine the rank of the following matrix:
[[4, -1, -10, 6],
 [-2, -10, -10, 12],
 [1, 13, 10, -11],
 [4, 22, 10, -14]]

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


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

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


[User]
What is the rank of the matrix:
[[-4, -5, 7, -17],
 [-6, -3, 9, -21],
 [-8, 17, 5, -7],
 [8, -14, -6, 10]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-13, -24, 20, -21],
 [21, 25, -24, 36],
 [-5, -2, 2, -1],
 [-11, -22, 19, -24]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-15, 12, -18, -6],
 [13, 2, 11, -25],
 [-6, 4, -7, 1],
 [-3, 3, -4, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[5, -2, -3, 15],
 [-6, -5, 13, -15],
 [-13, 2, -2, -18],
 [-8, -12, 20, -12]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[6, 2, -10, -12],
 [11, 1, -18, -20],
 [9, 3, -15, -18],
 [5, -17, -6, 4]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[11, 4, 18, 1],
 [10, 16, -15, 4],
 [15, 18, -1, 1],
 [4, 12, -22, 4]]

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


[User]
Find the rank of the matrix:
[[-8, 10, -20, 8],
 [-10, 2, 9, 3],
 [-6, -9, 37, -5],
 [20, -22, 16, -18]]

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


[User]
Find the rank of the matrix:
[[-2, 19, -5, -3],
 [4, 1, 23, 17],
 [8, 2, 20, 14],
 [2, -19, -8, -7]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-8, -8, -4, -6],
 [8, 8, 4, 6],
 [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:
[[3, 6, 4, -9],
 [-10, 2, 16, -3],
 [-1, 8, 12, -12],
 [1, 4, 4, -6]]?

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


[User]
Find the rank of the matrix:
[[22, -6, 0, 10],
 [-4, 12, 32, 16],
 [25, -5, -4, -9],
 [-15, 5, -2, -17]]

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


[User]
Determine the rank of the following matrix:
[[-10, 8, 20, 24],
 [1, -4, -7, -8],
 [-12, 0, 9, 12],
 [25, 12, 0, -4]]

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


[User]
Determine the rank of the following matrix:
[[2, 2, 6, -7],
 [-10, -28, 8, -10],
 [-3, -21, 3, -15],
 [5, 17, -3, 7]]

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


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

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


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

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[6, 8, -6, 0],
 [6, 8, -6, 0],
 [16, -6, 4, 0],
 [-17, 14, -11, 0]]

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[8, 12, -22, -3],
 [6, -12, -6, -18],
 [6, -12, -6, -18],
 [-2, 12, -2, 12]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[4, -10, -8, -6],
 [-13, 1, -7, 18],
 [4, -5, -3, -7],
 [-14, 8, -1, 16]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[3, -8, -13, 5],
 [0, 8, 8, -6],
 [9, 8, -7, -9],
 [0, 12, 12, -9]]

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


[User]
What is the rank of the matrix:
[[4, -10, -16, -10],
 [6, -2, 1, 4],
 [12, 9, 27, 27],
 [-13, 5, -3, -10]]?

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


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

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


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

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


[User]
Find the rank of the matrix:
[[8, 1, 4, 19],
 [-8, 1, -12, -13],
 [6, -1, 10, 9],
 [20, 15, -8, 13]]

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-3, 2, 3, 2],
 [-19, 10, -5, 6],
 [-16, 8, -8, 4],
 [-5, 4, 11, 5]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[0, 3, -9, 7],
 [-6, -12, 9, -2],
 [-7, 14, -2, 19],
 [3, -18, -4, -11]]

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


[User]
Calculate the rank of matrix A where A =
[[4, 0, 1, -1],
 [-22, 0, 5, -9],
 [-2, 0, 10, -14],
 [12, 9, -15, 18]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-10, -5, -6, -8],
 [4, 11, 6, 14],
 [12, 8, 8, 12],
 [0, 10, 4, 12]]

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


[User]
Find the rank of the matrix:
[[24, -12, 16, 4],
 [12, -15, 4, 4],
 [0, 9, 4, -2],
 [0, 0, 0, 0]]

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


[User]
Find the rank of the matrix:
[[-3, -2, -6, -20],
 [4, 0, 4, 16],
 [17, -18, 25, -4],
 [-13, 14, -27, 4]]

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


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

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


[User]
Find the rank of the matrix:
[[-18, -6, -7, 26],
 [0, 0, 0, 0],
 [10, -1, 4, -14],
 [2, 10, 3, -10]]

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


[User]
Determine the rank of the following matrix:
[[-1, -6, 4, -25],
 [-12, -4, -20, 6],
 [4, 4, 4, 10],
 [12, 4, 20, -6]]

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


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

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


[User]
Find the rank of the matrix:
[[-12, -4, 4, 4],
 [-10, 18, -18, -18],
 [17, -9, -3, 5],
 [-24, 8, -8, -8]]

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


[User]
Calculate the rank of matrix A where A =
[[13, -14, -5, -13],
 [-14, 17, 2, 9],
 [-7, -11, 2, 16],
 [10, -16, 4, 2]]

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


[User]
What is the rank of the matrix:
[[-10, 0, -20, 5],
 [5, -1, 9, -1],
 [-31, -31, -12, 8],
 [-10, -24, 16, 1]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[-12, 7, -18, -5],
 [-24, 23, 3, 5],
 [-34, 29, -12, 4],
 [0, 1, 6, -5]]

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


[User]
Determine the rank of the following matrix:
[[16, -15, -14, 5],
 [16, -3, -6, 18],
 [-4, 1, -2, -4],
 [0, 14, 12, 15]]

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-13, 15, -4, 7],
 [-11, 9, -8, -1],
 [10, -6, 10, 5],
 [-10, -2, -20, -20]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-6, 13, -3, -7],
 [3, -4, 2, 1],
 [-3, 19, 1, -16],
 [6, -13, 3, 7]]

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


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

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


[User]
What is the rank of the matrix:
[[12, -1, 9, -6],
 [-3, -2, 3, 3],
 [9, 0, 5, -5],
 [-3, 10, -25, -5]]?

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


[User]
What is the rank of the matrix:
[[12, -19, -12, -14],
 [12, -7, -28, -22],
 [12, -13, -20, -18],
 [0, -9, 12, 6]]?

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[17, -1, -1, -1],
 [-13, 5, -10, -1],
 [0, -18, 37, 4],
 [-14, 1, -4, -1]]

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


[User]
Find the rank of the matrix:
[[0, -20, -16, -4],
 [0, -15, -14, -6],
 [0, 14, 12, 4],
 [0, 2, 4, 4]]

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


[User]
Find the rank of the matrix:
[[8, -6, -24, 18],
 [-2, -16, 8, 8],
 [0, -6, -25, 22],
 [14, 6, -24, 6]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-2, -37, 20, 27],
 [0, -22, 16, 19],
 [-8, 14, 8, -9],
 [8, 6, -16, -5]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-6, 22, 24, 1],
 [4, -1, -10, -7],
 [0, 18, 14, 13],
 [-4, 3, 6, -11]]

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


[User]
Calculate the rank of matrix A where A =
[[6, 20, 4, -28],
 [3, 13, -5, -11],
 [-1, -13, -17, 25],
 [1, -4, -25, 21]]

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


[User]
Determine the rank of the following matrix:
[[-6, 0, -8, -4],
 [0, 9, -21, -15],
 [0, 0, 0, 0],
 [0, -9, 21, 15]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-24, -6, -18, -24],
 [3, -15, -3, 3],
 [8, 14, 10, 8],
 [3, -15, -3, 3]]

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


[User]
Determine the rank of the following matrix:
[[-21, 0, 3, 12],
 [-8, 20, 4, 1],
 [16, -12, -4, -7],
 [-22, -8, 2, 14]]

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


[User]
Find the rank of the matrix:
[[8, -20, 8, 28],
 [-18, 1, -2, 17],
 [19, -19, 11, 14],
 [-8, 7, -8, -3]]

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


[User]
Determine the rank of the following matrix:
[[-10, 4, -13, -2],
 [-2, 2, -5, -4],
 [20, -6, 22, -2],
 [2, -1, 3, 1]]

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


[User]
What is the rank of the matrix:
[[-10, 20, 8, 30],
 [-20, 10, -13, 10],
 [10, -9, 4, -12],
 [8, -11, 8, -18]]?

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


[User]
Calculate the rank of matrix A where A =
[[0, -4, 8, -8],
 [12, 0, 6, -3],
 [16, -5, 18, -14],
 [0, 1, -2, 2]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-1, 1, 2, -4],
 [13, -9, 6, -4],
 [-16, 12, 0, -8],
 [-7, 6, 6, -14]]

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


[User]
Calculate the rank of matrix A where A =
[[1, -8, 1, 5],
 [6, 18, 6, 8],
 [-1, -10, -1, 1],
 [-2, -14, -2, 0]]

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


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

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


[User]
What is the rank of the matrix:
[[-22, 12, -17, -9],
 [-8, 6, -4, 0],
 [-6, 9, 3, 9],
 [-4, 0, -6, -6]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-2, -8, 3, 4],
 [-7, 21, 0, -9],
 [-3, 1, -6, 1],
 [-19, 29, 4, -11]]

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


[User]
Determine the rank of the following matrix:
[[-8, 8, 24, 2],
 [0, 0, 8, 2],
 [8, -8, 8, 6],
 [16, -16, -4, 7]]

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


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

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


[User]
Determine the rank of the following matrix:
[[6, 15, 4, -3],
 [-12, 26, 4, -14],
 [10, -7, 1, 5],
 [10, -3, 9, -5]]

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


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

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


[User]
What is the rank of the matrix:
[[-4, 19, -4, 8],
 [-12, 3, 12, -6],
 [4, -1, 0, -6],
 [-4, -5, 0, 8]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[-22, 12, -28, -15],
 [10, -6, 12, 7],
 [0, -3, -4, 1],
 [2, -3, 0, 2]]

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


[User]
Find the rank of the matrix:
[[-19, 6, 9, -11],
 [-11, 2, 3, -5],
 [28, 0, 0, 8],
 [4, -2, -3, 3]]

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


[User]
Determine the rank of the following matrix:
[[-5, 2, 4, 3],
 [-2, 1, 0, 1],
 [3, -1, -4, -2],
 [-10, 3, 16, 7]]

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


[User]
Find the rank of the matrix:
[[14, 6, 11, 2],
 [10, 6, 7, 4],
 [12, 8, 8, 6],
 [8, 0, 8, -4]]

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


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

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


[User]
Determine the rank of the following matrix:
[[12, -12, 6, -3],
 [17, -15, -1, 8],
 [31, -27, -5, 10],
 [20, -18, 2, 14]]

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


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

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


[User]
Find the rank of the matrix:
[[-3, 8, -9, -17],
 [-10, 8, -6, -22],
 [3, 6, -9, -9],
 [-6, -5, 9, 5]]

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


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

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


[User]
What is the rank of the matrix:
[[-6, 8, -10, -9],
 [20, 8, 6, -5],
 [6, 16, -6, -5],
 [14, 16, 0, 0]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[0, -9, 20, -1],
 [7, -3, 16, 2],
 [7, 6, -4, 3],
 [11, 12, -12, 5]]

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


[User]
Determine the rank of the following matrix:
[[-3, -4, 4, 0],
 [-11, -4, 12, 0],
 [-7, -7, -1, 0],
 [9, 20, 4, 0]]

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


[User]
Find the rank of the matrix:
[[-9, 0, -6, 12],
 [10, -5, 8, -18],
 [6, -5, 4, -8],
 [12, -10, 8, -16]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-10, 13, -4, -9],
 [2, -18, 3, 15],
 [-2, -17, 2, 15],
 [6, -19, 4, 15]]

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


[User]
Calculate the rank of matrix A where A =
[[1, 3, 11, -3],
 [4, 7, -1, 8],
 [-6, -10, 6, -14],
 [-6, -10, -26, 10]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-9, 12, -14, -11],
 [-5, 4, 4, -20],
 [-1, 2, -6, 5],
 [0, 12, -8, -20]]

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


[User]
Calculate the rank of matrix A where A =
[[12, 10, 4, -8],
 [-2, -1, 4, 4],
 [-16, -10, 18, 24],
 [-10, -6, 13, 16]]

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


[User]
Calculate the rank of matrix A where A =
[[-3, 9, -18, 18],
 [8, -6, -2, 0],
 [13, 3, -2, 14],
 [-19, 9, -10, 2]]

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


[User]
What is the rank of the matrix:
[[-21, -17, -25, 11],
 [9, 10, 8, -2],
 [0, -2, 2, -2],
 [18, 16, 20, -8]]?

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


[User]
Find the rank of the matrix:
[[6, 9, 14, 6],
 [9, -18, -9, -24],
 [14, -6, 10, -20],
 [-12, -3, -8, -7]]

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


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

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


[User]
Find the rank of the matrix:
[[-2, -10, -9, -2],
 [5, 4, 6, 2],
 [-18, -10, -16, -4],
 [-9, 18, 9, 0]]

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-3, 0, 1, -7],
 [11, 1, -7, 2],
 [-10, -13, 0, -5],
 [-3, 3, 1, -16]]

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


[User]
What is the rank of the matrix:
[[10, -7, 18, 5],
 [-4, 2, -5, -2],
 [-3, -17, -15, -19],
 [-3, 13, 9, 11]]?

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


[User]
Find the rank of the matrix:
[[6, -4, -5, 4],
 [14, -10, -11, 6],
 [-4, 2, 4, -6],
 [16, -12, -12, 4]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[7, 4, -4, -1],
 [3, 1, -3, 0],
 [25, 15, -13, -4],
 [-16, -7, 13, 1]]

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


[User]
What is the rank of the matrix:
[[3, 6, -2, -2],
 [-11, -10, 6, 0],
 [3, 24, -14, -8],
 [3, 18, -10, -6]]?

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


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

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


[User]
Find the rank of the matrix:
[[-2, 8, 21, -14],
 [-1, 4, 17, -12],
 [2, -8, 18, -16],
 [-1, 4, -3, 16]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[22, 16, -16, -19],
 [20, 22, -22, -25],
 [-16, -4, 4, 4],
 [25, -9, 9, 5]]

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


[User]
Calculate the rank of matrix A where A =
[[-22, 8, 19, -7],
 [12, 5, -5, 0],
 [3, -14, -10, 6],
 [-16, 8, 15, -7]]

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


[User]
Calculate the rank of matrix A where A =
[[16, -26, 20, 16],
 [4, -2, -8, 9],
 [2, 6, -4, 0],
 [-27, 8, -4, -22]]

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


[User]
Calculate the rank of matrix A where A =
[[-12, 16, -16, 10],
 [17, -18, 11, 8],
 [-13, 10, 1, -24],
 [-6, 8, -8, 5]]

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


[User]
Find the rank of the matrix:
[[4, 20, -28, -4],
 [-1, 1, -2, 4],
 [-1, -3, 4, 2],
 [0, -8, 12, -4]]

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


[User]
What is the rank of the matrix:
[[-6, -2, -8, 14],
 [6, 2, -11, 15],
 [16, 20, 13, -3],
 [6, 2, 8, -14]]?

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


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

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-21, 1, -6, -2],
 [-3, 3, -2, -2],
 [0, -15, 6, 9],
 [-6, 11, -6, -7]]

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


[User]
Calculate the rank of matrix A where A =
[[0, -19, 16, -11],
 [14, -20, 22, -16],
 [3, 12, -9, 6],
 [15, 3, 3, -3]]

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


[User]
Find the rank of the matrix:
[[4, -20, 6, 4],
 [-14, 14, -9, -8],
 [5, -2, 13, 26],
 [10, -24, 8, 4]]

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


[User]
Find the rank of the matrix:
[[-1, -16, 0, -20],
 [-4, -13, 17, -12],
 [2, 2, -10, 0],
 [-2, -17, 5, -20]]

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


[User]
What is the rank of the matrix:
[[6, -4, -8, -6],
 [13, 20, 0, 14],
 [10, 28, 20, 20],
 [-2, 0, 24, -4]]?

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


[User]
Find the rank of the matrix:
[[-3, 0, -9, 0],
 [3, -3, 9, -2],
 [-5, -6, -15, -4],
 [7, 12, 21, 8]]

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


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

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


[User]
What is the rank of the matrix:
[[36, -44, 16, 12],
 [3, -9, -12, 9],
 [-21, 24, 0, -3],
 [0, 1, -20, -4]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[-6, -13, 0, -4],
 [-2, -10, -2, -2],
 [12, -8, -12, 4],
 [-14, -2, 10, -6]]

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


[User]
Calculate the rank of matrix A where A =
[[2, -2, -11, 12],
 [7, -7, -1, -18],
 [3, -3, -4, -2],
 [4, -4, -12, 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],
 [2, 0, -8, -4],
 [4, 0, -16, -8]]

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


[User]
Find the rank of the matrix:
[[11, -3, -3, -3],
 [-6, 15, -20, 2],
 [3, -4, -4, -14],
 [-6, 17, -8, 26]]

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


[User]
What is the rank of the matrix:
[[-16, 1, 14, 20],
 [-14, -6, 16, 20],
 [6, 1, -6, -8],
 [14, -16, -4, -12]]?

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[8, -6, 1, 6],
 [0, 4, -3, 0],
 [-20, -11, 17, -15],
 [12, 1, -6, 9]]

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


[User]
Determine the rank of the following matrix:
[[21, 13, 9, 36],
 [-6, 0, -4, -13],
 [14, 6, 6, 28],
 [-9, -17, -5, 4]]

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


[User]
What is the rank of the matrix:
[[0, -1, 6, -7],
 [21, -6, -10, 4],
 [0, 11, 6, 5],
 [-21, 11, 4, 7]]?

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


[User]
Find the rank of the matrix:
[[-13, 0, -6, 4],
 [18, -8, 12, -4],
 [10, 4, 2, -10],
 [-9, 16, -14, -20]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[15, 0, -10, 7],
 [0, -15, 3, 0],
 [-6, -6, 2, -2],
 [1, -4, 6, -1]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-11, 27, -6, 11],
 [-1, -2, -3, 1],
 [16, -2, 16, -16],
 [2, 17, 6, -2]]

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


[User]
What is the rank of the matrix:
[[8, -1, -4, 20],
 [30, 16, 18, -4],
 [13, 10, 13, -14],
 [26, 14, 16, -4]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[3, 9, -6, 0],
 [0, -6, 12, -12],
 [2, 6, -4, 0],
 [4, 0, 16, -24]]

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


[User]
Calculate the rank of matrix A where A =
[[4, -10, -2, -7],
 [-8, 20, 4, 14],
 [-12, 14, -6, 9],
 [12, -18, 3, -12]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-12, 0, 0, 3],
 [-12, 0, 0, 3],
 [-16, 0, 0, 4],
 [-13, -9, 9, 4]]

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


[User]
Calculate the rank of matrix A where A =
[[0, 2, -3, -8],
 [0, -23, 12, 2],
 [-9, 19, -6, 5],
 [36, -20, -6, -28]]

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


[User]
Calculate the rank of matrix A where A =
[[0, -4, 12, -4],
 [-6, 2, 12, 2],
 [-6, 0, 18, 0],
 [8, -5, -9, -5]]

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


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

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[2, -4, -8, 11],
 [-9, 3, -4, -2],
 [-8, -2, -16, 13],
 [-2, -2, -8, 8]]

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


[User]
Calculate the rank of matrix A where A =
[[-13, -6, 0, -4],
 [17, 16, -4, -4],
 [-2, 0, 0, -2],
 [-29, -36, 12, 16]]

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


[User]
Determine the rank of the following matrix:
[[-18, 12, 12, -9],
 [-24, 16, 16, -12],
 [2, 0, 2, -1],
 [8, -4, -2, 2]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-18, -9, -4, 5],
 [8, -3, 8, 4],
 [-4, -3, 0, 2],
 [12, 9, 0, -6]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[4, 2, -6, -10],
 [-4, -4, -3, 6],
 [7, -7, 0, 11],
 [-2, -3, -6, 1]]

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


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

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


[User]
Determine the rank of the following matrix:
[[14, -8, -1, -4],
 [6, -15, -3, 6],
 [12, -12, -2, 0],
 [14, 1, 1, -10]]

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


[User]
Determine the rank of the following matrix:
[[-3, 4, 11, -3],
 [-9, 13, 9, -13],
 [-15, 9, 4, -6],
 [9, -18, -15, 19]]

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


[User]
Determine the rank of the following matrix:
[[-22, -4, -14, -14],
 [10, 0, 9, 14],
 [7, -16, 4, 9],
 [15, 8, 13, 17]]

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


[User]
Calculate the rank of matrix A where A =
[[2, 2, 4, 1],
 [-2, -6, -3, -4],
 [-6, 6, -15, 6],
 [8, 4, 17, 1]]

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


[User]
Find the rank of the matrix:
[[2, -10, 9, -14],
 [-20, 2, -6, 0],
 [4, -6, 6, -8],
 [4, -13, 12, -18]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[0, 7, -3, -12],
 [1, 12, -1, -17],
 [-1, 14, -5, -23],
 [-1, -1, -5, -3]]

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


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

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


[User]
Determine the rank of the following matrix:
[[18, -18, -16, 4],
 [-14, -6, 18, 4],
 [15, -5, -10, 1],
 [-19, 5, 22, 1]]

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


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

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


[User]
Find the rank of the matrix:
[[-4, -8, 0, -2],
 [-10, -15, -1, -3],
 [-12, -4, -4, 2],
 [-20, -25, -3, -4]]

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


[User]
Determine the rank of the following matrix:
[[-10, -10, -6, -4],
 [-3, 1, 10, 2],
 [13, 11, 1, 4],
 [-3, 2, 8, 5]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[6, 19, -10, 9],
 [13, -10, -15, 10],
 [-5, -10, 6, 1],
 [-9, -17, 13, -9]]

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


[User]
Determine the rank of the following matrix:
[[-6, 1, -10, -2],
 [9, 7, -2, 20],
 [9, 5, 2, 16],
 [9, 5, 2, 16]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-1, 13, -20, -4],
 [1, 1, 10, 2],
 [20, -32, 36, -12],
 [0, -8, 12, 3]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[2, 6, 0, 4],
 [-4, -8, -4, -6],
 [-6, -18, 0, -12],
 [-6, -22, 4, -14]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[10, -6, 10, 4],
 [2, 6, -7, -10],
 [-12, 4, -8, 0],
 [-6, 10, -14, -12]]?

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[27, 8, 10, 1],
 [9, -15, -2, -11],
 [-8, -2, 0, 6],
 [-2, -5, -4, -7]]

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[15, -12, 12, 4],
 [18, 15, 3, 16],
 [-2, 0, 6, -12],
 [6, 6, -6, 16]]

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


[User]
Calculate the rank of matrix A where A =
[[2, 8, 2, -12],
 [5, 5, 1, -14],
 [-14, 14, -5, -2],
 [0, -15, -4, 16]]

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


[User]
What is the rank of the matrix:
[[-4, 7, 12, -10],
 [0, 9, 5, -26],
 [3, -11, -7, 18],
 [-3, 19, -15, -10]]?

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-22, -8, 0, -12],
 [-11, -4, 0, -6],
 [-4, 4, 24, -24],
 [16, 9, 14, -4]]?

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


[User]
Calculate the rank of matrix A where A =
[[5, -12, -17, -7],
 [5, 1, 1, 1],
 [16, -2, -4, 0],
 [12, 5, 6, 4]]

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-9, 7, -15, 18],
 [-6, 4, -8, 8],
 [15, -5, 21, -22],
 [9, -9, 14, -16]]?

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


[User]
Find the rank of the matrix:
[[0, 17, 2, -34],
 [-14, -10, 6, 12],
 [11, 23, 15, -12],
 [-2, 5, -8, -26]]

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[4, 2, 1, -17],
 [37, -6, 5, -16],
 [1, 18, -25, 8],
 [4, 2, 0, -13]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-10, 14, 10, 4],
 [-3, 3, 3, 2],
 [5, -13, -5, 2],
 [-4, -4, 4, 8]]

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


[User]
Calculate the rank of matrix A where A =
[[-3, -2, 3, 9],
 [-12, -4, 0, 3],
 [0, -1, 3, -3],
 [19, 9, -8, -14]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[20, -16, -12, -4],
 [-1, 12, -12, 24],
 [2, -8, 6, -14],
 [-8, 0, 12, -12]]

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


[User]
Determine the rank of the following matrix:
[[8, 31, 8, -12],
 [12, 16, 6, 12],
 [16, 17, -2, 4],
 [8, 27, 5, -12]]

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


[User]
Determine the rank of the following matrix:
[[6, 15, 12, 3],
 [6, -3, -12, 13],
 [-1, 11, 16, -8],
 [-8, -20, -16, -4]]

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


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

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[13, -8, -9, 16],
 [-3, -12, -9, -12],
 [-6, -9, -6, -15],
 [-10, 5, 6, -13]]

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


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

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


[User]
What is the rank of the matrix:
[[4, -12, -10, -10],
 [-13, 14, 5, 0],
 [-5, 0, -4, -7],
 [-19, 2, -13, -24]]?

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


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

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],
 [-6, 3, -3, 12],
 [0, 0, 0, 0]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[0, 0, 0, 0],
 [7, -17, -19, -7],
 [-23, 13, 16, -12],
 [-17, 11, 14, -6]]

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


[User]
What is the rank of the matrix:
[[7, -6, 14, 11],
 [-4, 2, -8, -12],
 [-2, 0, -4, -10],
 [-5, 6, -10, -1]]?

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


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

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


[User]
What is the rank of the matrix:
[[-17, -16, 1, 10],
 [20, 18, 7, -6],
 [-5, -2, -12, -16],
 [-10, -6, -5, -18]]?

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


[User]
Calculate the rank of matrix A where A =
[[-11, 0, 6, -21],
 [10, -4, -8, 18],
 [0, 11, 7, 3],
 [4, -6, -6, 6]]

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


[User]
What is the rank of the matrix:
[[15, 15, 10, 19],
 [12, -6, -4, -4],
 [9, 18, 12, 21],
 [10, 0, 0, 2]]?

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-4, 20, 0, 20],
 [8, 36, -4, 28],
 [-6, -3, 21, -3],
 [9, 4, -9, 0]]

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


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

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


[User]
What is the rank of the matrix:
[[-31, -22, 2, -32],
 [9, -3, 22, 4],
 [-13, -2, 4, -8],
 [-8, -16, -4, -16]]?

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


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

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


[User]
What is the rank of the matrix:
[[-8, 0, -4, 12],
 [1, 3, -2, -3],
 [16, -24, 28, -12],
 [4, -6, 7, -3]]?

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


[User]
Find the rank of the matrix:
[[9, 9, -6, -24],
 [-15, 3, 0, -3],
 [-2, 4, -1, -3],
 [15, -3, 1, 9]]

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


[User]
Determine the rank of the following matrix:
[[12, 7, -11, -5],
 [-3, -6, 15, 14],
 [-20, -2, 2, -2],
 [-4, -12, 20, 12]]

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-18, -7, -3, -8],
 [-12, -5, 1, 10],
 [6, 8, -2, -2],
 [21, 14, 2, 13]]

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


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

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


[User]
Find the rank of the matrix:
[[11, 4, -4, -14],
 [21, 7, -3, -24],
 [-1, -15, 2, 8],
 [-3, 2, 0, 2]]

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


[User]
Calculate the rank of matrix A where A =
[[18, -12, 15, 3],
 [0, -2, -2, -4],
 [14, -6, 15, 9],
 [-14, 8, -13, -5]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[6, 0, 9, -3],
 [-2, 0, -3, 1],
 [24, -8, 12, 4],
 [0, 1, 3, -2]]

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


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

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


[User]
Determine the rank of the following matrix:
[[11, 7, -23, -8],
 [0, -2, -5, -2],
 [7, 11, -1, 1],
 [-4, -4, 2, 1]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-9, -18, 0, 3],
 [23, 26, -2, -10],
 [-12, 0, 20, -2],
 [-1, 2, -10, 6]]

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


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

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


[User]
Find the rank of the matrix:
[[2, 6, 2, -10],
 [19, 9, 5, 7],
 [-22, -18, 0, 14],
 [14, 10, 2, -4]]

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-1, 10, -7, -6],
 [-10, -9, 8, -8],
 [-13, -9, 7, -2],
 [-1, -1, 0, 5]]?

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


[User]
Determine the rank of the following matrix:
[[13, 7, 4, 3],
 [-7, -5, -4, -3],
 [-4, -12, -16, -12],
 [-13, -7, -4, -3]]

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


[User]
Calculate the rank of matrix A where A =
[[-6, -8, -31, -17],
 [0, 3, -2, 1],
 [12, -2, 14, 8],
 [-15, 1, -12, -9]]

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


[User]
Find the rank of the matrix:
[[37, 22, -7, -5],
 [4, -9, -11, 17],
 [-3, 2, 7, 4],
 [-1, 12, 19, 4]]

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


[User]
Find the rank of the matrix:
[[4, -13, 9, -4],
 [6, -8, -8, 24],
 [6, -6, 0, 12],
 [8, 4, -12, 32]]

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


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

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-4, -4, -5, -10],
 [-7, 2, -2, -4],
 [-3, -10, -9, -18],
 [2, 12, 10, 20]]

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


[User]
Find the rank of the matrix:
[[-1, 20, -4, 6],
 [-4, -16, 5, 6],
 [2, -24, 10, 2],
 [18, 24, 0, -12]]

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


[User]
What is the rank of the matrix:
[[-1, -6, 13, 3],
 [1, -6, 5, -3],
 [-3, -2, 15, 9],
 [4, -8, -4, -12]]?

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[4, 2, 4, 2],
 [1, -17, 11, 2],
 [-4, -2, -9, -3],
 [-3, 2, 4, 0]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[18, -6, 8, 16],
 [-3, -9, -8, -16],
 [3, 3, 4, 8],
 [-21, 12, -6, -12]]

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


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

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


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

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-4, -20, 8, 0],
 [9, 9, -3, -3],
 [-7, 1, -1, 3],
 [-7, 1, -1, 3]]

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


[User]
Calculate the rank of matrix A where A =
[[0, 8, 5, -5],
 [15, -21, -15, 0],
 [3, -1, -1, -2],
 [8, 0, -1, -7]]

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


[User]
What is the rank of the matrix:
[[6, 6, 8, -2],
 [-10, -10, -24, -10],
 [-10, -10, -6, 3],
 [-2, -2, -4, -2]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[-19, 8, -26, 8],
 [-4, 16, -16, 0],
 [4, 4, 11, -2],
 [-12, -2, -8, 6]]

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


[User]
Find the rank of the matrix:
[[8, -4, 0, 8],
 [12, -6, 0, 12],
 [4, -2, 0, 4],
 [21, -18, 9, 21]]

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


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

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[0, -6, 2, 2],
 [12, -9, -10, 23],
 [8, 0, 0, 16],
 [8, -16, -12, 16]]

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


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

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


[User]
Find the rank of the matrix:
[[-10, -3, 0, 0],
 [-4, 15, 0, -12],
 [15, 3, -3, 3],
 [8, -6, -6, 10]]

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


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

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


[User]
Determine the rank of the following matrix:
[[14, -10, -30, 12],
 [12, -3, -21, 9],
 [-15, 0, 18, -18],
 [-2, -5, -1, 0]]

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


[User]
Find the rank of the matrix:
[[-14, 10, -6, -4],
 [1, -5, -1, 1],
 [8, -16, 0, 4],
 [-1, 5, 1, -1]]

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


[User]
Determine the rank of the following matrix:
[[14, -6, 8, -16],
 [14, -17, 10, -4],
 [-4, -7, -2, 12],
 [-10, 18, -16, -16]]

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


[User]
Determine the rank of the following matrix:
[[21, 17, 6, 12],
 [9, 3, 2, 3],
 [-13, -21, 0, -16],
 [-8, -16, -1, -11]]

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


[User]
Determine the rank of the following matrix:
[[9, 2, -10, -3],
 [-7, -10, 14, -5],
 [1, 8, -6, 10],
 [-7, 6, 6, 25]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[2, 0, 1, -1],
 [-2, -9, -1, -11],
 [-6, 3, -3, 7],
 [8, 3, 4, 0]]

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


[User]
Find the rank of the matrix:
[[-5, 23, 7, -2],
 [17, -7, -15, 2],
 [5, -21, 3, 5],
 [-11, -11, 21, 4]]

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


[User]
Determine the rank of the following matrix:
[[-5, -14, 20, 4],
 [-1, -6, 8, 1],
 [3, -14, 16, -1],
 [5, -2, 0, -3]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-3, -3, 6, 6],
 [5, -10, -13, 5],
 [-16, 2, 2, -10],
 [-19, -4, -1, -7]]

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


[User]
Calculate the rank of matrix A where A =
[[0, 5, 13, 15],
 [0, -2, -22, -6],
 [0, 4, 9, 12],
 [0, -3, -5, -9]]

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-2, -8, -1, 1],
 [-7, -1, -3, 1],
 [-17, 2, -6, 1],
 [-10, -12, -4, 2]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[12, -2, 0, 18],
 [-16, 24, 10, 8],
 [0, 12, 2, 20],
 [-2, -1, 3, -7]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-6, -13, -16, 1],
 [18, 9, 0, 18],
 [-24, -3, 9, -30],
 [8, -1, -17, 12]]

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[4, -13, 0, 14],
 [-9, 4, 19, -1],
 [-16, 4, 12, -8],
 [2, -5, -4, 4]]

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


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

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


[User]
Find the rank of the matrix:
[[0, 4, -8, 6],
 [2, -6, 12, -17],
 [3, 8, -16, 0],
 [0, 8, -16, 12]]

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


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

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


[User]
Determine the rank of the following matrix:
[[3, -16, 13, 31],
 [-22, 2, 2, -18],
 [-16, 5, -1, -12],
 [8, 16, -15, -26]]

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


[User]
Find the rank of the matrix:
[[-7, -2, -2, 4],
 [6, 20, 4, 8],
 [-5, -6, -2, 0],
 [-12, -8, -4, 4]]

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


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

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


[User]
Determine the rank of the following matrix:
[[16, -6, -24, -16],
 [11, -4, -16, -11],
 [3, 0, 0, -3],
 [4, 0, 0, -4]]

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


[User]
What is the rank of the matrix:
[[8, -12, -2, -22],
 [-4, 4, 7, 13],
 [-1, 0, 7, 6],
 [-7, 3, 4, 11]]?

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


[User]
Find the rank of the matrix:
[[-12, -13, 11, 24],
 [8, 0, 2, -2],
 [30, 14, -3, -2],
 [4, 14, -13, -17]]

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


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

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-6, 0, 2, -2],
 [6, -6, 8, 10],
 [-7, 5, -6, -9],
 [8, -10, 14, 16]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[28, 14, -10, -7],
 [16, 22, -14, -5],
 [24, 8, -18, 4],
 [-4, 22, 7, -17]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-13, 18, -3, -2],
 [15, 2, 1, -2],
 [-2, -20, 2, 4],
 [-6, 20, -10, -6]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-16, 12, 16, -12],
 [0, -9, -15, 21],
 [-4, 9, -2, -9],
 [4, 0, 1, -4]]

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


[User]
Determine the rank of the following matrix:
[[-13, -9, 18, -7],
 [-14, -17, 11, 5],
 [-9, -13, 6, 5],
 [10, 0, -12, 4]]

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


[User]
Find the rank of the matrix:
[[-8, -11, 7, -2],
 [7, -4, -3, -10],
 [-11, 6, 6, 20],
 [-13, 11, 7, 30]]

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[0, -4, 22, 0],
 [-14, -13, 5, 0],
 [2, 1, 4, 0],
 [-14, -11, -6, 0]]

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


[User]
Determine the rank of the following matrix:
[[7, 9, 5, 8],
 [-3, -1, -9, -8],
 [-9, -9, -3, -12],
 [-15, -15, -13, -22]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-12, -5, 19, 14],
 [3, 2, -7, -2],
 [0, 1, -3, 2],
 [0, 2, -6, 4]]

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[4, 8, 8, -8],
 [0, -12, -16, 24],
 [-3, -15, -18, 24],
 [4, 20, 24, -32]]

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


[User]
Find the rank of the matrix:
[[15, 4, 17, 4],
 [-12, -5, -13, -2],
 [0, 9, -2, -6],
 [-9, 3, -9, -6]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[3, -12, 9, -3],
 [2, -14, 6, 0],
 [0, 3, 0, -1],
 [-3, 0, -9, 7]]

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


[User]
Determine the rank of the following matrix:
[[12, 6, -3, -6],
 [20, 14, -1, -10],
 [-16, -12, 0, 8],
 [16, 9, -3, -8]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[6, 0, -6, -6],
 [1, 4, -17, -25],
 [8, -4, 8, 16],
 [-12, 3, 0, -6]]

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


[User]
Find the rank of the matrix:
[[-2, 15, -3, -4],
 [-15, 21, 24, -29],
 [7, -4, -5, 5],
 [16, -8, -31, 29]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[9, 16, -3, 5],
 [-19, -18, 10, 14],
 [-10, -7, 7, 13],
 [-22, -22, 13, 17]]?

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


[User]
Find the rank of the matrix:
[[3, 6, 4, -1],
 [-3, 0, -4, -5],
 [-6, -9, -8, -1],
 [-6, -7, -8, -3]]

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-6, 6, 2, 11],
 [-22, 8, 30, 9],
 [12, -2, -16, 0],
 [-34, 13, 16, 18]]?

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-9, -6, -12, -12],
 [-9, -6, -12, -12],
 [-3, -2, -4, -4],
 [10, 5, 14, 19]]

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


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

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


[User]
What is the rank of the matrix:
[[-7, 1, 3, 9],
 [-4, -8, 12, 6],
 [11, 7, -15, -15],
 [-8, 4, 0, 10]]?

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


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

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


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

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


[User]
What is the rank of the matrix:
[[24, -11, -5, 22],
 [4, 9, 5, 2],
 [-12, -7, -5, -14],
 [-12, -3, 1, 10]]?

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


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

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


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

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[19, -11, 2, -2],
 [-11, -3, -9, -12],
 [4, -6, -3, 18],
 [14, -5, 4, 8]]

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


[User]
What is the rank of the matrix:
[[0, -16, -8, 12],
 [-2, -9, -8, 4],
 [-4, -18, -16, 8],
 [-8, 8, -10, -17]]?

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-3, -4, -6, -17],
 [4, 8, 6, 11],
 [-22, 4, -18, -24],
 [-2, -12, -6, -14]]?

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[14, -8, -26, 5],
 [10, -2, -7, -5],
 [12, -8, -12, 0],
 [-2, -2, -11, 9]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[5, 11, -16, 6],
 [15, 9, 6, -21],
 [13, 11, -2, -13],
 [12, 4, 12, -22]]

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


[User]
What is the rank of the matrix:
[[3, 0, 9, 0],
 [-5, 0, 0, -9],
 [2, 0, -4, 6],
 [1, 0, -12, 9]]?

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


[User]
Determine the rank of the following matrix:
[[-3, 4, 1, 10],
 [-6, -14, -4, -20],
 [3, 8, -1, 8],
 [-3, -9, -8, -20]]

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


[User]
Find the rank of the matrix:
[[-5, 11, 5, 3],
 [-11, 30, 9, 10],
 [-4, -9, -20, 11],
 [-4, -11, -18, 9]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-18, -20, 20, 26],
 [16, 4, 6, -6],
 [-11, -18, -8, 13],
 [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],
 [0, -12, 0, -3],
 [0, -16, 0, -4],
 [0, 4, 0, 1]]

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


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

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


[User]
Find the rank of the matrix:
[[24, -5, 13, 18],
 [0, 0, 0, 0],
 [4, 12, -20, -4],
 [-28, 4, -12, -20]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-4, 6, 7, -3],
 [3, 8, -3, 5],
 [-3, 22, 8, 0],
 [7, -16, -13, 5]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-6, -5, 16, -13],
 [-8, 2, 16, -10],
 [-7, 18, 4, 5],
 [-4, 14, 0, 6]]

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


[User]
Determine the rank of the following matrix:
[[8, -8, -13, 9],
 [3, 5, 3, 1],
 [7, -9, 0, 10],
 [18, -26, 1, 27]]

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


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

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


[User]
Find the rank of the matrix:
[[7, 18, 15, 14],
 [-10, -10, -1, 2],
 [4, 6, 3, 2],
 [-12, -18, -9, -6]]

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


[User]
Find the rank of the matrix:
[[11, -7, 12, 11],
 [-16, 8, -16, -16],
 [-1, -1, 0, -1],
 [-14, 10, -16, -14]]

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


[User]
Determine the rank of the following matrix:
[[-13, 3, 25, 2],
 [3, -1, -7, -1],
 [-12, 8, 20, 3],
 [15, -1, -19, 2]]

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


[User]
What is the rank of the matrix:
[[-34, 0, -8, -6],
 [-8, 18, -10, 18],
 [12, -19, 16, -11],
 [4, -15, 8, -15]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[0, -3, 3, 4],
 [3, 12, -5, -14],
 [3, -3, 10, 6],
 [12, 9, 19, -4]]

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


[User]
Find the rank of the matrix:
[[-7, 7, 18, -8],
 [-3, -3, 4, -4],
 [-10, -2, -4, 8],
 [-1, -8, -16, 10]]

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


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

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


[User]
What is the rank of the matrix:
[[-12, 8, -12, -28],
 [7, -4, 6, 11],
 [4, -2, 3, 4],
 [0, 0, 0, 0]]?

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


[User]
Find the rank of the matrix:
[[-5, 8, 10, -8],
 [1, 5, 4, 1],
 [13, 17, -12, -3],
 [-4, -2, 4, -2]]

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


[User]
Determine the rank of the following matrix:
[[3, -3, -15, -5],
 [7, -7, 11, 11],
 [25, -25, -13, 5],
 [11, -11, 4, 9]]

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


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

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


[User]
Find the rank of the matrix:
[[-8, -4, 5, 4],
 [-4, -13, -19, 20],
 [-9, -5, -7, 11],
 [12, 0, 5, -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],
 [2, -4, 2, 4],
 [-4, 8, -4, -8]]

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


[User]
Find the rank of the matrix:
[[12, -6, 0, -2],
 [-3, 12, -21, -3],
 [0, 0, 0, 0],
 [-21, 9, 3, 4]]

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


[User]
Find the rank of the matrix:
[[-9, 9, 9, 0],
 [-6, 6, 12, 9],
 [7, -7, -15, -12],
 [-10, 10, 6, -6]]

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


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

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


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

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-14, -8, -8, 19],
 [18, -9, 6, -3],
 [-6, 3, -2, 1],
 [0, 9, 2, -10]]

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


[User]
Calculate the rank of matrix A where A =
[[8, 12, -4, 8],
 [-11, -15, -5, -11],
 [-9, -12, -6, -9],
 [-4, -5, -5, -4]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-11, -10, -9, 3],
 [5, 0, 19, -19],
 [19, 8, 21, -9],
 [12, 7, 6, 3]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-9, 6, 0, -7],
 [5, -5, 0, 6],
 [0, 0, 0, 0],
 [0, -15, 0, 19]]

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


[User]
Determine the rank of the following matrix:
[[3, -2, 6, 1],
 [-12, -4, -6, -4],
 [0, -6, 9, 0],
 [-15, -4, -9, -5]]

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


[User]
Find the rank of the matrix:
[[-3, 12, 3, -3],
 [-3, 12, 3, -3],
 [12, 0, -20, -12],
 [2, 4, -4, -4]]

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


[User]
What is the rank of the matrix:
[[-13, 0, -2, -6],
 [-11, 2, 0, -11],
 [9, -4, 16, 5],
 [-1, 3, -8, -3]]?

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


[User]
What is the rank of the matrix:
[[7, -8, 3, 10],
 [6, -4, 14, 10],
 [2, 6, 0, 0],
 [-4, 20, -8, -12]]?

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


[User]
Find the rank of the matrix:
[[14, -14, -2, -12],
 [4, 4, -12, 0],
 [-4, -5, 6, 4],
 [-8, 3, -14, 18]]

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


[User]
Determine the rank of the following matrix:
[[-13, 8, -14, -5],
 [20, -8, 24, -4],
 [8, -13, 4, 25],
 [16, -5, 20, -7]]

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


[User]
Calculate the rank of matrix A where A =
[[-14, -8, -16, -11],
 [-13, -11, -17, -12],
 [14, 8, 16, 11],
 [16, 12, 20, 14]]

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


[User]
Determine the rank of the following matrix:
[[-11, -9, 8, -10],
 [-16, 0, 1, -8],
 [-4, -18, 18, -6],
 [-27, -15, 12, -24]]

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


[User]
Determine the rank of the following matrix:
[[-12, 0, 0, 9],
 [2, -9, 3, 3],
 [-16, -12, 4, 18],
 [16, 6, -2, -15]]

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


[User]
Determine the rank of the following matrix:
[[-8, -7, -2, -7],
 [6, 9, -1, 4],
 [14, 16, 1, 11],
 [-2, -13, 7, 2]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[10, -2, -1, -8],
 [-3, 6, 12, 6],
 [0, -6, -13, -4],
 [-22, 8, 10, 20]]

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


[User]
Determine the rank of the following matrix:
[[12, 6, 12, -1],
 [21, 9, 12, -2],
 [-4, -10, -8, 3],
 [22, -2, 10, 2]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[2, -2, 2, 0],
 [20, -20, -8, -8],
 [-8, 8, 13, 6],
 [15, -15, -13, -8]]

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


[User]
Find the rank of the matrix:
[[-18, 16, -8, 10],
 [-12, 30, -21, -3],
 [-14, 26, -17, 0],
 [15, 0, -6, -6]]

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


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

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


[User]
Find the rank of the matrix:
[[17, 25, 5, 18],
 [7, -1, -17, -6],
 [-3, -9, -6, -13],
 [3, 7, 3, 10]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[16, -16, 16, 14],
 [-5, -6, 5, -1],
 [-4, -8, 4, 4],
 [8, 15, -16, 4]]

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


[User]
Determine the rank of the following matrix:
[[-12, 11, -12, -3],
 [6, -8, 0, 6],
 [-1, -2, -8, 5],
 [-7, 11, 4, -10]]

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


[User]
Determine the rank of the following matrix:
[[23, 17, 28, -15],
 [20, -10, -20, 7],
 [24, 6, 12, -9],
 [12, -12, 0, -8]]

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


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

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


[User]
Find the rank of the matrix:
[[-14, 18, 6, 6],
 [2, -24, 6, -6],
 [13, 8, -9, 1],
 [9, -9, -3, -3]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-28, 9, 6, -4],
 [-24, 10, 8, -8],
 [9, -22, -32, 23],
 [-9, 6, 12, 9]]

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


[User]
Calculate the rank of matrix A where A =
[[-16, 16, -16, -1],
 [8, -7, 3, -7],
 [-11, 12, -13, -2],
 [2, 14, -16, 8]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[13, 10, -5, -16],
 [-15, 4, -7, 0],
 [14, 18, -8, -16],
 [14, 18, -8, -16]]

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


[User]
What is the rank of the matrix:
[[-6, 9, 22, 12],
 [2, -6, -12, -2],
 [4, -3, 2, 8],
 [2, 1, 14, 16]]?

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


[User]
What is the rank of the matrix:
[[-3, -7, 23, -1],
 [7, -8, 10, 1],
 [-4, -7, 5, -4],
 [-7, -4, 26, -1]]?

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


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

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


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

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


[User]
What is the rank of the matrix:
[[1, 8, -3, 2],
 [-12, 24, 16, 16],
 [0, -12, 2, -4],
 [5, 4, -9, -2]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-12, 6, -4, 11],
 [9, -15, 3, -17],
 [12, -6, 4, -11],
 [12, 12, 4, 4]]

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


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

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


[User]
Determine the rank of the following matrix:
[[3, 6, -15, -16],
 [0, -10, 18, 0],
 [6, 8, 18, 2],
 [9, 8, 9, -18]]

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


[User]
What is the rank of the matrix:
[[8, 2, -8, -6],
 [-6, 4, 2, -6],
 [7, -3, -9, -3],
 [17, 4, -19, -15]]?

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


[User]
Determine the rank of the following matrix:
[[-3, -5, 6, 0],
 [4, -12, 0, 16],
 [11, 16, -21, 2],
 [2, 15, -9, -10]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[12, 8, 16, -4],
 [18, -18, -8, 17],
 [8, 10, 0, -6],
 [-15, 28, 12, -24]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-1, -6, 7, 1],
 [3, 21, 2, -1],
 [-1, -24, 10, 4],
 [3, -7, -9, 2]]

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


[User]
Calculate the rank of matrix A where A =
[[0, 5, 5, -1],
 [-14, -2, 13, -10],
 [8, 14, -16, 11],
 [-16, -9, -3, -6]]

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


[User]
What is the rank of the matrix:
[[-4, 1, 4, 3],
 [-11, 23, -19, -3],
 [-3, -6, 13, 6],
 [20, -15, -3, -7]]?

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


[User]
Determine the rank of the following matrix:
[[-26, 23, 16, 4],
 [-30, 31, 24, 16],
 [-6, 3, 0, -4],
 [-16, 11, 2, -1]]

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


[User]
Calculate the rank of matrix A where A =
[[5, -14, 11, 15],
 [6, -10, 0, 14],
 [-14, 9, 19, -22],
 [7, -19, 1, 24]]

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


[User]
Determine the rank of the following matrix:
[[-3, -2, -13, 18],
 [-4, -4, -16, 16],
 [2, 6, 4, 16],
 [-4, -6, -14, 4]]

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


[User]
Calculate the rank of matrix A where A =
[[-6, 16, 18, 4],
 [10, -2, -2, -5],
 [-24, 4, -8, 6],
 [-15, 0, -15, 0]]

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


[User]
Determine the rank of the following matrix:
[[-8, 0, 4, -8],
 [4, 4, -8, -24],
 [13, 3, -11, -8],
 [14, 4, -13, -14]]

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


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

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-6, -8, 2, -7],
 [22, 28, -7, 24],
 [-16, -24, 6, -22],
 [4, 8, -2, 8]]?

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


[User]
What is the rank of the matrix:
[[-2, -6, 9, -3],
 [-9, 4, 7, -15],
 [-5, 6, -6, -4],
 [11, -4, -4, 14]]?

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[1, 17, -7, 19],
 [3, 12, -6, 12],
 [-14, -4, 8, 4],
 [10, -12, 0, -20]]

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


[User]
Determine the rank of the following matrix:
[[-4, -4, -1, 2],
 [-16, -20, -17, 14],
 [16, 20, 17, -14],
 [-18, -20, -11, 12]]

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


[User]
Calculate the rank of matrix A where A =
[[-1, -2, -5, 6],
 [4, -4, -16, 12],
 [0, 4, 8, -8],
 [4, 5, 5, -9]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[7, 0, 4, -13],
 [-5, 0, 4, 17],
 [-3, 0, -12, -6],
 [10, 0, 16, -7]]

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


[User]
Determine the rank of the following matrix:
[[8, 8, 2, -6],
 [9, 8, 12, -15],
 [13, 20, 0, -17],
 [-1, 12, -7, -12]]

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


[User]
What is the rank of the matrix:
[[4, 2, -8, -8],
 [3, 3, 12, -9],
 [3, 0, -24, -3],
 [-1, 0, 8, 1]]?

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


[User]
What is the rank of the matrix:
[[-11, -8, -2, 1],
 [-5, -2, -4, -1],
 [9, -9, 11, -7],
 [7, -14, 12, -9]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[7, -28, -20, -10],
 [4, -6, -5, -1],
 [-21, 14, 15, -3],
 [4, 17, 7, 13]]

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


[User]
Calculate the rank of matrix A where A =
[[-16, -5, 6, 16],
 [12, 23, 12, -12],
 [-3, 24, 20, 2],
 [7, 21, 16, -6]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-12, 9, 7, -20],
 [-3, 6, -2, -10],
 [9, -12, 0, 22],
 [-12, 0, 16, -8]]

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[0, -4, 6, -1],
 [0, -8, 8, -12],
 [0, -6, 8, -4],
 [0, 9, -10, 11]]

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


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

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


[User]
Determine the rank of the following matrix:
[[8, 16, 3, -8],
 [-12, -24, -4, 8],
 [6, 12, 4, -20],
 [9, 18, 4, -14]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[5, 9, 1, 6],
 [4, 0, 2, -2],
 [9, 25, -17, -4],
 [2, 4, -13, -15]]

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


[User]
Determine the rank of the following matrix:
[[3, 16, -17, -18],
 [9, 9, 1, -2],
 [0, 12, -16, -16],
 [-6, -11, 6, 8]]

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


[User]
What is the rank of the matrix:
[[9, -12, -13, -13],
 [0, 12, 8, 8],
 [3, -8, -7, -7],
 [-6, 4, 6, 6]]?

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


[User]
Calculate the rank of matrix A where A =
[[-1, -9, -7, 6],
 [1, 17, 15, -8],
 [1, 9, 7, -6],
 [4, 12, 4, -18]]

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


[User]
Determine the rank of the following matrix:
[[18, -24, -3, 9],
 [3, -4, -11, -2],
 [-9, 12, 3, -4],
 [18, -24, -3, 9]]

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


[User]
What is the rank of the matrix:
[[-7, -1, 1, 10],
 [15, 5, -5, -18],
 [3, -1, 1, -6],
 [1, 3, -3, 2]]?

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


[User]
Find the rank of the matrix:
[[16, -16, -4, -18],
 [0, 6, 2, 4],
 [-20, 20, -6, 14],
 [-12, 15, -7, 7]]

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


[User]
Determine the rank of the following matrix:
[[3, -4, -6, 7],
 [-2, 4, 5, -5],
 [-2, 16, 14, -8],
 [-1, 16, 13, -6]]

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[19, 1, 5, -15],
 [9, 3, 3, 3],
 [19, 1, 5, -15],
 [1, 3, 1, 11]]

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


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

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


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

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


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

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