[User]
Compute the rank of the given 4x4 matrix:
[[-5, 9, 4, -11],
 [-8, 6, 4, -8],
 [-2, 15, -5, -11],
 [4, 19, 1, -19]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-10, 6, 4, -6],
 [-7, 4, -7, -17],
 [9, -4, -23, -21],
 [9, -6, -11, -4]]

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


[User]
Determine the rank of the following matrix:
[[-3, -6, -1, -8],
 [-12, -6, 8, -20],
 [-9, 9, 15, -6],
 [-6, -9, 0, -14]]

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


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

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


[User]
Determine the rank of the following matrix:
[[0, 2, 16, -12],
 [1, -2, -28, 20],
 [-4, -6, 0, 4],
 [2, 1, -16, 10]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[5, 2, 0, -6],
 [-2, 0, -24, -12],
 [3, 0, -14, -12],
 [-4, -14, 2, 6]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[6, -12, 0, -15],
 [10, 1, -9, -7],
 [-20, -2, 18, 14],
 [14, 0, -12, -11]]

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


[User]
Find the rank of the matrix:
[[-5, 2, -1, -3],
 [8, -6, -11, -5],
 [9, -8, -18, -10],
 [16, -8, -4, 4]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-10, -13, 6, -3],
 [1, 5, -6, -19],
 [-2, -5, -2, -4],
 [-4, -13, 6, 21]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[7, -1, -7, 2],
 [-6, 8, -2, 2],
 [0, 7, -4, -11],
 [13, 10, -25, 5]]

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


[User]
Determine the rank of the following matrix:
[[12, -18, -3, -13],
 [-10, 11, -1, 9],
 [7, -16, -10, -10],
 [-4, -8, -14, -2]]

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


[User]
Determine the rank of the following matrix:
[[8, -4, -22, -12],
 [-8, -11, -13, 2],
 [20, 11, -6, -16],
 [8, -4, -22, -12]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-6, -8, 18, 4],
 [3, -1, 0, -1],
 [7, 6, -15, -4],
 [-2, -11, 21, 3]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-5, 17, 12, -4],
 [-1, 8, 12, 8],
 [-3, 11, 23, 10],
 [3, 2, 16, 24]]

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


[User]
Determine the rank of the following matrix:
[[-8, 4, 16, 12],
 [-3, 2, 11, 6],
 [1, -1, -7, -3],
 [-5, 1, -5, 3]]

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


[User]
Find the rank of the matrix:
[[9, -9, -9, -6],
 [-5, -5, 3, 8],
 [-1, -4, 0, 3],
 [9, 6, -6, -13]]

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


[User]
Calculate the rank of matrix A where A =
[[4, 10, 16, 10],
 [0, -6, 0, -6],
 [3, 12, 12, 12],
 [5, 16, 20, 16]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[4, -10, 1, 7],
 [4, 2, 3, -3],
 [8, -2, 5, -1],
 [14, 10, 11, -13]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-7, 9, 10, -8],
 [-6, -9, -9, 12],
 [11, -2, -5, -1],
 [5, -6, -3, 5]]?

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


[User]
Find the rank of the matrix:
[[14, -6, 13, -6],
 [0, -4, -3, 10],
 [6, 2, 9, -14],
 [14, -6, 13, -6]]

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


[User]
Determine the rank of the following matrix:
[[-18, 12, -8, -10],
 [17, -10, 1, 4],
 [-22, 12, 10, 8],
 [-12, 8, 3, 5]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-6, -12, -3, 12],
 [-25, 12, -7, 22],
 [-10, -8, -2, 12],
 [12, 16, -4, -8]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-9, 18, -3, -9],
 [3, -10, -1, 11],
 [12, -14, 9, -8],
 [9, -14, 5, 1]]

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[11, 11, 4, -4],
 [-3, 5, 16, 14],
 [-17, -11, 8, 16],
 [-9, -3, 10, 13]]?

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


[User]
Determine the rank of the following matrix:
[[0, 7, -11, 12],
 [4, 12, 0, 24],
 [7, 6, 21, 17],
 [7, -22, -7, -11]]

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


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

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[16, 8, 4, 36],
 [-11, -7, -8, -12],
 [27, 15, 22, 24],
 [13, 17, 20, -12]]

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


[User]
What is the rank of the matrix:
[[-8, 24, -16, -8],
 [-8, 14, -10, -6],
 [10, -20, 14, 8],
 [8, -4, 4, 4]]?

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


[User]
Find the rank of the matrix:
[[-24, 4, -4, 20],
 [-6, 3, -3, 3],
 [-4, 0, 0, 4],
 [12, -2, 2, -10]]

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


[User]
Find the rank of the matrix:
[[-12, 2, 12, 4],
 [7, -2, -16, -11],
 [-5, -3, 14, 5],
 [17, -32, 4, -21]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[6, 0, -2, -8],
 [30, 16, 10, -14],
 [-2, -4, -5, -6],
 [18, 4, 1, -11]]

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


[User]
Calculate the rank of matrix A where A =
[[11, -8, 8, 11],
 [-3, 0, -12, -15],
 [7, -6, 1, 2],
 [11, -10, -1, 0]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-7, 10, 3, -14],
 [25, -10, 9, 2],
 [6, 6, 5, -8],
 [24, 6, 17, -20]]

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


[User]
Find the rank of the matrix:
[[-12, -2, -14, 10],
 [10, 11, 14, 8],
 [0, -16, -4, -28],
 [8, 8, 11, 5]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[3, 7, -12, -10],
 [3, 8, -9, -14],
 [1, 10, 1, 2],
 [-1, -13, -7, 4]]

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


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

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


[User]
What is the rank of the matrix:
[[3, -6, 15, -12],
 [-21, 10, 6, -26],
 [2, -2, -3, 11],
 [2, 2, -12, 15]]?

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-3, 12, 12, 3],
 [19, -12, 0, -7],
 [5, 12, 18, 1],
 [-5, -12, -18, -1]]

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


[User]
What is the rank of the matrix:
[[3, -9, 12, -22],
 [-2, -1, 9, -18],
 [9, -14, 3, 8],
 [-7, 25, -33, 26]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-12, 2, 15, -13],
 [-17, 2, 11, 20],
 [2, -2, -2, -8],
 [1, -16, -14, -23]]

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


[User]
Find the rank of the matrix:
[[6, 12, -15, 3],
 [6, 10, 13, -19],
 [-8, -14, -8, 18],
 [0, 10, 4, -10]]

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


[User]
What is the rank of the matrix:
[[0, -4, 1, 2],
 [18, 17, -30, 12],
 [12, 14, -26, 20],
 [12, -10, -8, 2]]?

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


[User]
Determine the rank of the following matrix:
[[21, 6, -24, -15],
 [4, 4, 2, -20],
 [-5, 8, 5, -21],
 [-5, -2, 10, -1]]

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


[User]
What is the rank of the matrix:
[[2, 0, 0, 12],
 [3, 8, -2, 0],
 [-20, -24, 16, -11],
 [14, 16, -12, 4]]?

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-4, 14, 12, -7],
 [3, -6, -18, 12],
 [-1, 4, 2, -1],
 [1, 2, -14, 10]]

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


[User]
Calculate the rank of matrix A where A =
[[13, 7, -15, 7],
 [1, -5, 1, -1],
 [-8, -14, 13, -7],
 [-12, 6, 9, -3]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-18, 0, -6, -16],
 [18, -28, 14, 17],
 [4, -8, 5, 2],
 [-18, 12, -12, -13]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-24, -6, 16, 2],
 [4, 3, -2, 0],
 [-20, -9, 12, 1],
 [16, 12, -8, 0]]

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


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

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


[User]
What is the rank of the matrix:
[[-3, -1, -4, -7],
 [-11, 3, -6, 1],
 [18, -2, 13, 9],
 [6, -2, -2, -10]]?

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


[User]
Determine the rank of the following matrix:
[[-12, 20, 14, -25],
 [22, -16, -4, 24],
 [-17, -26, -11, 5],
 [-15, -14, -5, -2]]

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[13, -25, 2, 4],
 [-11, 5, -2, -8],
 [-4, 2, -12, 20],
 [-4, -6, 3, -13]]

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


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

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


[User]
Find the rank of the matrix:
[[0, 18, 9, -3],
 [-24, 0, 12, -14],
 [24, 0, -12, 14],
 [-20, 14, 17, -14]]

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


[User]
Calculate the rank of matrix A where A =
[[2, 6, -9, -18],
 [10, 12, -18, 0],
 [-2, -4, 6, 8],
 [-7, -6, 9, -12]]

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


[User]
Find the rank of the matrix:
[[11, 4, -3, 4],
 [13, 4, -3, 0],
 [6, -8, -5, 2],
 [-13, 12, 9, -4]]

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


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

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


[User]
Find the rank of the matrix:
[[10, -14, 0, 16],
 [-1, 7, -2, -5],
 [-12, 20, -8, -4],
 [10, -10, 6, -5]]

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


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

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


[User]
What is the rank of the matrix:
[[-14, 10, 0, -14],
 [-7, -7, -1, -6],
 [-10, 8, 11, -4],
 [3, -9, -16, -5]]?

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


[User]
Find the rank of the matrix:
[[2, -7, 11, -7],
 [0, 8, -10, 4],
 [-6, -1, -5, 13],
 [-6, -20, 21, 17]]

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


[User]
Determine the rank of the following matrix:
[[4, 0, -20, 6],
 [16, 0, 8, 7],
 [-7, 12, 23, 6],
 [25, -22, 7, -14]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-1, 1, -3, -1],
 [-11, 5, -15, -7],
 [10, -4, 12, 6],
 [-16, 4, -12, -8]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-8, 6, 2, 8],
 [-2, -18, 4, 10],
 [-5, -6, 4, 7],
 [-16, 12, 14, -4]]

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


[User]
Determine the rank of the following matrix:
[[-15, 8, -4, 11],
 [-7, 2, -2, 5],
 [9, -10, 2, -7],
 [9, -10, 2, -7]]

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


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

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


[User]
What is the rank of the matrix:
[[10, 14, 6, 2],
 [8, 16, 8, 4],
 [6, 6, 2, 0],
 [-4, 10, 8, 7]]?

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


[User]
Calculate the rank of matrix A where A =
[[3, 7, -7, -1],
 [9, 3, -3, -12],
 [6, 10, -10, -4],
 [0, -8, 8, -4]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-6, 3, -19, -1],
 [2, -1, 5, 3],
 [-1, -12, 6, -1],
 [7, -6, 22, 5]]

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


[User]
Calculate the rank of matrix A where A =
[[6, 12, -21, -6],
 [-6, 6, -3, 18],
 [-4, -11, 18, 2],
 [4, 2, -6, -8]]

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


[User]
Calculate the rank of matrix A where A =
[[0, 0, 0, 0],
 [3, -2, -9, 6],
 [5, -9, 0, -6],
 [1, -1, 17, 4]]

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


[User]
What is the rank of the matrix:
[[0, -2, 6, 10],
 [-1, 1, -3, -8],
 [-9, -4, 12, -7],
 [2, 0, 0, 6]]?

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-11, 16, 15, -5],
 [1, -4, -9, 17],
 [-13, 20, 21, -13],
 [2, -2, 0, -5]]

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


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

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


[User]
Determine the rank of the following matrix:
[[4, 6, 3, -3],
 [-20, 12, 13, -13],
 [24, -6, -10, 10],
 [-16, 9, 10, -10]]

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


[User]
Determine the rank of the following matrix:
[[-15, 24, 7, 2],
 [25, 4, -1, -2],
 [-6, -11, -2, 9],
 [5, -2, -1, -6]]

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


[User]
What is the rank of the matrix:
[[-6, 10, -4, -9],
 [-1, 12, -8, -9],
 [-32, -8, 0, 12],
 [6, 22, -9, -21]]?

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


[User]
Calculate the rank of matrix A where A =
[[-6, 7, -22, 10],
 [-11, 2, -10, 14],
 [-1, 2, -6, 2],
 [4, -3, 10, -6]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[3, 3, 6, -6],
 [4, 4, 8, -8],
 [4, 12, 24, -16],
 [-1, -5, -10, 6]]

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


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

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


[User]
Determine the rank of the following matrix:
[[6, -11, 11, 3],
 [-4, 2, -10, -2],
 [14, 7, 3, 1],
 [-10, 6, -5, -2]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[20, 12, 10, -1],
 [0, -8, -5, -1],
 [-8, -24, -16, -2],
 [4, -12, -7, -2]]

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


[User]
Determine the rank of the following matrix:
[[0, -22, 9, -4],
 [21, 6, -12, 3],
 [-16, 8, 4, 0],
 [9, -10, 0, -1]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-10, -9, -3, 19],
 [23, 0, 4, -14],
 [21, -6, 10, 0],
 [-8, 12, -6, -16]]

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


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

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


[User]
Find the rank of the matrix:
[[-10, 11, 8, 5],
 [1, 14, -5, 4],
 [-7, 20, 4, 7],
 [-1, 17, -1, 5]]

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


[User]
Determine the rank of the following matrix:
[[-5, 11, -15, -3],
 [-4, 0, -1, 2],
 [5, -3, 5, -1],
 [-4, 4, -6, 0]]

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


[User]
Find the rank of the matrix:
[[12, 18, 3, 12],
 [-12, 0, 6, 6],
 [-4, -2, 1, 0],
 [12, 18, 3, 12]]

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


[User]
Calculate the rank of matrix A where A =
[[15, 15, 11, -20],
 [9, 9, 6, -24],
 [5, 5, 4, 0],
 [19, 19, 15, -4]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[16, -16, -12, 8],
 [-16, 16, 18, -20],
 [12, -20, 4, 0],
 [8, -8, -10, 12]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-12, 16, -12, -8],
 [13, -16, 12, 7],
 [1, 0, 0, -1],
 [-10, 12, -9, -5]]

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


[User]
Find the rank of the matrix:
[[-14, -6, 10, -4],
 [4, 6, -8, -2],
 [2, -12, 14, 10],
 [4, -24, 28, 20]]

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


[User]
Find the rank of the matrix:
[[14, 15, 4, 5],
 [-12, -12, -4, -4],
 [15, 18, 3, 6],
 [-2, -6, 2, -2]]

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


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

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


[User]
What is the rank of the matrix:
[[5, -22, 0, -5],
 [1, -6, 0, -1],
 [10, -12, 0, -10],
 [3, -2, 0, -3]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[-6, -1, 7, 11],
 [6, -20, 14, -4],
 [-3, -2, 5, 6],
 [-3, 4, -1, 4]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[19, 12, 16, 16],
 [17, 12, 8, 16],
 [11, 9, -1, 12],
 [-12, -9, -3, -12]]

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


[User]
Calculate the rank of matrix A where A =
[[-9, -19, -18, 15],
 [0, 7, 6, -6],
 [3, 18, 16, -15],
 [3, -3, -2, 3]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[1, -11, -13, -7],
 [-7, 17, 11, -1],
 [-11, -14, -2, -20],
 [14, -7, -21, 9]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[6, -5, -12, 0],
 [-13, 10, -13, -15],
 [-6, 5, -11, -10],
 [2, 4, -1, -12]]

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


[User]
Find the rank of the matrix:
[[12, -6, 2, -1],
 [3, -6, -1, 5],
 [-7, 4, -1, 0],
 [-1, 4, 1, -4]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-18, -5, -20, 2],
 [-14, 5, -20, -4],
 [0, -16, 8, 10],
 [-14, -3, -16, 1]]

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


[User]
Find the rank of the matrix:
[[-18, 16, -22, -12],
 [0, 2, 1, 0],
 [6, -10, 5, 4],
 [-9, 10, -10, -6]]

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


[User]
Find the rank of the matrix:
[[-2, 1, -14, -1],
 [-8, 4, -8, -4],
 [16, -8, 0, 8],
 [2, -1, -10, 1]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[0, 8, -8, 32],
 [0, -8, 8, -32],
 [12, 0, 12, -4],
 [-12, 7, -1, 8]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[12, -2, -8, 4],
 [-3, 4, 9, 6],
 [-6, 2, 6, 0],
 [3, 8, 15, 18]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[20, 8, -14, -11],
 [8, -6, 2, 19],
 [0, -3, 4, 16],
 [15, -13, -1, 6]]

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


[User]
Find the rank of the matrix:
[[4, -4, 14, -12],
 [-11, 5, -11, -4],
 [-6, 0, -10, -4],
 [-17, 3, -10, -22]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-5, 2, 4, -25],
 [-1, 2, -5, -18],
 [14, -14, 13, 7],
 [-10, -2, 30, 4]]

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


[User]
What is the rank of the matrix:
[[17, 20, 18, -33],
 [15, 8, 13, -9],
 [-10, 0, -17, 4],
 [16, 11, 4, -5]]?

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[5, 6, -4, -10],
 [13, 8, -4, 7],
 [4, -10, -16, -1],
 [9, 18, 12, 8]]

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


[User]
What is the rank of the matrix:
[[-9, 16, -6, -3],
 [-9, 2, 3, 9],
 [-1, -4, 13, 13],
 [17, -18, 8, -1]]?

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-11, -14, 5, -6],
 [-7, -8, 5, 3],
 [8, 10, -4, 3],
 [-16, -20, 8, -6]]

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


[User]
Determine the rank of the following matrix:
[[2, -2, 2, 2],
 [10, -1, 1, 4],
 [-17, 2, -2, -7],
 [11, -2, 2, 5]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-16, 0, 8, -4],
 [-15, 6, 3, -6],
 [-13, 2, 5, -4],
 [12, 0, -6, 3]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-10, -8, -1, -7],
 [-8, 5, -14, 16],
 [-12, -12, 2, -10],
 [-12, -21, 16, -2]]

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


[User]
Determine the rank of the following matrix:
[[-9, 4, -1, -7],
 [-10, 3, -6, -2],
 [-4, 10, 2, -3],
 [-9, 0, -3, -6]]

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


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

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


[User]
What is the rank of the matrix:
[[-2, 3, 0, 2],
 [10, -3, -16, 18],
 [-8, 6, 8, -6],
 [-8, 6, 8, -6]]?

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


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

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


[User]
What is the rank of the matrix:
[[15, 0, -18, 12],
 [-12, -1, 14, -9],
 [-8, 6, 12, -10],
 [-16, 2, 20, -14]]?

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


[User]
Determine the rank of the following matrix:
[[24, -8, -13, 13],
 [22, -14, 1, 4],
 [13, -17, 0, -8],
 [2, 6, -4, 9]]

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


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

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


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

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-5, -11, 1, 4],
 [-9, 3, 0, 9],
 [-6, -1, 3, 3],
 [-24, 9, 6, 18]]?

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


[User]
What is the rank of the matrix:
[[0, 0, 0, 0],
 [-8, -16, -12, 12],
 [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:
[[-8, 17, 22, 1],
 [19, -7, 7, 21],
 [18, -24, -24, 8],
 [21, -9, 3, 19]]

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


[User]
Determine the rank of the following matrix:
[[13, 12, 18, 12],
 [6, 14, 10, 3],
 [10, 20, 16, 6],
 [-7, 2, -8, -9]]

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


[User]
Calculate the rank of matrix A where A =
[[10, -8, 9, -7],
 [0, 14, 3, 1],
 [-10, 8, -9, 7],
 [18, 8, 21, -11]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-20, 13, -5, -7],
 [0, 21, -15, -9],
 [-8, 15, -9, -7],
 [-24, -4, 8, 0]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-19, -1, -4, 15],
 [-9, -9, -6, 3],
 [-17, -9, -10, 24],
 [11, -11, -4, -10]]

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


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

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


[User]
What is the rank of the matrix:
[[3, 5, -1, 9],
 [-9, -3, -7, -23],
 [12, 10, 7, 6],
 [0, 12, -8, -16]]?

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


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

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


[User]
What is the rank of the matrix:
[[8, -12, 1, 0],
 [0, -9, 3, 6],
 [12, 0, -12, -9],
 [32, -18, -16, -16]]?

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


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

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


[User]
What is the rank of the matrix:
[[0, -28, 18, -3],
 [0, -14, 6, 6],
 [2, 9, -8, 5],
 [-32, -11, 13, 8]]?

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


[User]
Determine the rank of the following matrix:
[[16, 12, 16, -8],
 [-2, -2, 8, -7],
 [-8, 2, -8, -8],
 [6, 0, 16, -5]]

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


[User]
Find the rank of the matrix:
[[22, 12, 32, -28],
 [-6, 0, -16, 0],
 [-12, 2, -20, 20],
 [-4, 4, 0, 20]]

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


[User]
Calculate the rank of matrix A where A =
[[9, -3, 9, 9],
 [25, -6, 1, 12],
 [15, -4, -6, 3],
 [-1, -3, -6, -6]]

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-10, 16, 18, -18],
 [0, -4, -12, 7],
 [16, -16, 0, 12],
 [10, -12, -6, 11]]

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


[User]
What is the rank of the matrix:
[[-8, -10, 5, -6],
 [8, -8, 4, -24],
 [14, 4, -2, -12],
 [14, 16, -8, 8]]?

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-2, 7, -1, 11],
 [-1, -10, 0, -17],
 [15, -12, 9, -15],
 [-6, -6, -2, -12]]?

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


[User]
What is the rank of the matrix:
[[-2, 6, -6, 0],
 [-6, -9, 21, 6],
 [-2, -3, 7, 2],
 [8, 3, -15, -6]]?

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


[User]
Find the rank of the matrix:
[[-12, 0, 17, -19],
 [7, -6, -2, -2],
 [-11, -5, 22, -22],
 [5, 1, -8, -4]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[2, 9, 16, 13],
 [11, 30, 13, 22],
 [-2, 4, 7, 4],
 [-12, -3, -12, -15]]

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


[User]
What is the rank of the matrix:
[[-11, -1, -9, 1],
 [-1, -9, 10, 9],
 [3, 13, -13, -13],
 [-5, -3, -1, 3]]?

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


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

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


[User]
Find the rank of the matrix:
[[-5, -9, 12, -5],
 [-21, 2, -8, -9],
 [14, -11, -10, 20],
 [5, -26, 0, 17]]

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


[User]
Calculate the rank of matrix A where A =
[[-6, 18, -3, 12],
 [4, -8, 8, -12],
 [6, -16, 6, -14],
 [6, -20, 0, -10]]

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


[User]
Find the rank of the matrix:
[[-4, 12, 16, 2],
 [-9, 21, 28, 7],
 [10, 6, 8, -20],
 [2, 6, 8, -6]]

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


[User]
Determine the rank of the following matrix:
[[24, -14, 16, -28],
 [28, 5, 17, 3],
 [-4, 5, -6, 6],
 [16, 12, 11, 19]]

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


[User]
Calculate the rank of matrix A where A =
[[-15, 3, 4, 10],
 [0, 15, -1, 13],
 [13, 5, 13, 14],
 [16, 5, 0, 1]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-16, -20, 4, -2],
 [18, 18, 3, -3],
 [-20, -22, 0, 1],
 [8, 4, 8, -6]]

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


[User]
Calculate the rank of matrix A where A =
[[4, -3, 8, 9],
 [0, -5, -10, -4],
 [20, 4, 24, 17],
 [8, 3, 20, 14]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[2, 7, -7, -4],
 [14, 12, -1, -7],
 [-4, -2, 0, -9],
 [-24, -13, -8, 7]]

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


[User]
Calculate the rank of matrix A where A =
[[-23, -3, -3, -24],
 [22, -12, 7, 37],
 [16, 6, 1, 13],
 [-4, -2, -4, 2]]

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


[User]
What is the rank of the matrix:
[[-16, 3, 4, -4],
 [15, -20, -23, -32],
 [-1, -5, -7, -12],
 [27, -16, -19, -16]]?

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


[User]
Find the rank of the matrix:
[[-3, 6, -3, 9],
 [0, 0, 2, 16],
 [-4, -8, 8, 28],
 [7, -4, 1, -19]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-6, -6, -10, -4],
 [12, 12, 20, 2],
 [-6, -6, -18, 6],
 [-9, -9, -11, -2]]

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


[User]
Find the rank of the matrix:
[[16, 6, 13, -12],
 [-18, -9, 3, 10],
 [16, 0, -4, 0],
 [2, 3, -4, -2]]

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[6, -1, 4, 0],
 [16, -2, 14, -8],
 [-20, 3, -15, 4],
 [8, -3, -3, 20]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[12, -28, -36, 12],
 [-5, 15, 9, 5],
 [-14, 18, 6, 14],
 [-4, 12, 28, -20]]

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


[User]
Calculate the rank of matrix A where A =
[[-8, 16, 20, 5],
 [12, 10, 16, 7],
 [16, -1, 4, 6],
 [24, -9, -4, 6]]

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


[User]
Determine the rank of the following matrix:
[[-17, -3, -14, -8],
 [4, -1, -1, 9],
 [-11, 3, -8, 0],
 [15, 6, 12, 13]]

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-10, -6, -4, -8],
 [9, -12, -27, 15],
 [8, 8, 8, 24],
 [-3, 10, 19, 5]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-12, -11, 10, 6],
 [12, 4, 4, -20],
 [3, -2, 7, -11],
 [-12, -11, 10, 6]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-2, -7, -15, 20],
 [8, 3, -7, 16],
 [1, -5, -10, 10],
 [-3, -3, -9, 17]]

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


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

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


[User]
Find the rank of the matrix:
[[0, -24, 19, -1],
 [-1, -5, 3, -2],
 [4, -4, 9, 14],
 [-3, 9, -12, -12]]

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


[User]
What is the rank of the matrix:
[[9, 1, 10, 6],
 [-10, -5, -1, -2],
 [5, 0, 7, 4],
 [15, 5, 8, 6]]?

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-12, -24, 6, -14],
 [-2, 4, -5, 1],
 [-15, -12, -6, -10],
 [1, 4, -2, 2]]

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


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

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


[User]
What is the rank of the matrix:
[[3, 6, -7, -4],
 [3, -21, -2, -13],
 [30, 0, 22, 18],
 [9, -6, -1, -5]]?

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


[User]
What is the rank of the matrix:
[[8, -4, 12, 16],
 [-2, 1, -3, -4],
 [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:
[[0, 0, 0, 0],
 [12, -12, -12, 6],
 [10, -12, -6, 8],
 [-18, 10, 4, -12]]

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


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

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


[User]
What is the rank of the matrix:
[[-4, 10, 8, 16],
 [-6, -8, -8, -6],
 [1, 8, 16, 17],
 [-16, -16, 4, 8]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[-5, 5, 2, -8],
 [1, -5, -4, 12],
 [-2, -3, -1, 8],
 [6, 2, 6, -12]]

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


[User]
Find the rank of the matrix:
[[-15, 8, 12, -17],
 [3, 4, 6, 11],
 [-7, 12, 22, 5],
 [-4, 9, 14, 5]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-2, -4, -12, -16],
 [2, 16, -3, 1],
 [-17, 4, -2, -16],
 [4, -10, 17, 21]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-10, 14, -14, 24],
 [-5, 7, -7, 12],
 [-1, -5, -11, -4],
 [8, -12, 10, -20]]?

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


[User]
What is the rank of the matrix:
[[-3, 9, 12, -24],
 [8, 0, -12, -10],
 [-11, -13, -16, 4],
 [7, 12, 22, 6]]?

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[1, -9, 10, -28],
 [16, 5, -12, -3],
 [9, 3, -6, -12],
 [0, 2, -4, 25]]

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


[User]
Find the rank of the matrix:
[[0, 10, 4, -2],
 [0, 20, 4, -12],
 [0, -3, -3, -3],
 [0, 5, 3, 1]]

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


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

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


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

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[3, 9, 9, 3],
 [8, -24, -3, 5],
 [0, 0, 0, 0],
 [14, -6, 15, 11]]

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


[User]
Determine the rank of the following matrix:
[[-6, -3, -5, 6],
 [24, 12, 20, -24],
 [-4, -2, -8, -3],
 [-6, -3, -5, 6]]

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


[User]
What is the rank of the matrix:
[[7, 8, -11, -4],
 [9, 4, -9, 4],
 [-9, -10, 3, 2],
 [9, 2, 9, 11]]?

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[20, 18, 4, 3],
 [-26, -8, 20, -27],
 [7, -11, -22, 21],
 [2, 6, -5, 9]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-18, 3, 0, -6],
 [-20, 7, -8, -14],
 [-13, 9, -12, -10],
 [-11, 3, -4, -10]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[7, 9, -7, -5],
 [-10, -5, -8, -4],
 [-5, 5, -3, 1],
 [2, 9, -16, -10]]

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


[User]
Find the rank of the matrix:
[[14, 8, 2, 4],
 [-12, -16, -16, 0],
 [-22, -8, 4, -8],
 [-1, -12, -18, 4]]

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


[User]
Determine the rank of the following matrix:
[[7, -9, -17, 10],
 [-17, 17, 13, -3],
 [-5, -25, -8, 22],
 [12, -8, -18, 6]]

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


[User]
What is the rank of the matrix:
[[14, 5, 8, -20],
 [18, -6, -2, -12],
 [-16, 5, 2, 16],
 [29, -1, 6, -23]]?

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


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

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


[User]
Find the rank of the matrix:
[[-2, 13, -1, 9],
 [0, 16, 2, 12],
 [-2, -7, -17, -15],
 [-12, -10, -5, -4]]

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


[User]
Determine the rank of the following matrix:
[[-18, -21, 17, 6],
 [-10, -12, 10, 2],
 [-1, 3, -6, 17],
 [-3, -3, 2, 3]]

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


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

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


[User]
Determine the rank of the following matrix:
[[6, -22, -6, -18],
 [0, -8, -6, -6],
 [0, 0, 0, 0],
 [0, -12, -9, -9]]

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[10, -10, 14, 12],
 [-4, 4, -12, -8],
 [13, -13, 19, 16],
 [-2, 2, 2, 0]]

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


[User]
What is the rank of the matrix:
[[-1, -3, 1, 1],
 [-4, -5, 3, 4],
 [-23, -8, 12, 7],
 [17, 7, -10, -12]]?

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[16, -16, 4, 16],
 [12, -6, 9, 6],
 [16, -28, -8, 28],
 [-4, 4, -1, -4]]

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


[User]
Calculate the rank of matrix A where A =
[[4, 9, 4, 0],
 [2, 1, 4, -8],
 [9, 13, -8, -6],
 [5, 7, -8, -2]]

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


[User]
Determine the rank of the following matrix:
[[0, 10, 1, 15],
 [8, -4, 10, -18],
 [-2, -14, -4, -18],
 [16, 12, 22, -6]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[9, -8, 16, -5],
 [-9, -2, -11, 10],
 [9, -4, 14, -7],
 [6, 0, 8, -6]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[4, -14, -16, -5],
 [5, -10, -14, -7],
 [0, 20, 16, -2],
 [-2, 2, 4, 3]]

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


[User]
Calculate the rank of matrix A where A =
[[1, -3, -1, -1],
 [-18, 22, -2, 2],
 [4, -4, 1, 0],
 [-14, 18, -1, 2]]

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[8, 4, 2, -1],
 [-10, 4, 10, -5],
 [-4, -2, -16, 8],
 [-19, -14, -14, 7]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[-6, 6, -9, -9],
 [12, -8, 4, 4],
 [8, -6, 5, 5],
 [2, -8, 24, 24]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[4, -6, -6, -6],
 [-5, 7, 1, 2],
 [-17, 24, 6, 9],
 [-7, 10, 4, 5]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[7, 1, 0, 2],
 [3, 0, 2, 4],
 [-9, 0, -6, -12],
 [-12, 0, -8, -16]]

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


[User]
Determine the rank of the following matrix:
[[18, 6, 14, -5],
 [1, 7, 14, -2],
 [-3, -3, 8, -8],
 [-1, -11, -2, -10]]

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


[User]
Determine the rank of the following matrix:
[[-1, -4, 3, 3],
 [-15, 8, -7, 9],
 [0, 0, 0, 0],
 [11, -7, 6, -6]]

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[2, -5, 6, -12],
 [12, -11, 10, 28],
 [-10, 7, -2, -28],
 [-6, 3, -2, -28]]?

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


[User]
Determine the rank of the following matrix:
[[-10, -2, -22, 10],
 [-15, -9, -24, 0],
 [-5, -1, -11, 5],
 [3, 9, -6, 18]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-4, -6, -16, -21],
 [-4, 8, -16, 0],
 [4, 6, 16, 21],
 [4, 2, 16, 15]]

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


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

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


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

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-8, 24, -7, 15],
 [2, 9, -2, 0],
 [2, 1, 0, -2],
 [-4, 18, -5, 9]]?

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


[User]
Find the rank of the matrix:
[[9, -1, -10, 5],
 [4, 24, 10, -5],
 [17, -20, -8, 4],
 [13, -17, -10, 5]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-32, -4, -4, 20],
 [28, 6, 19, 4],
 [24, 2, 10, -2],
 [4, 2, -10, -22]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[6, 9, -3, 0],
 [6, -17, -9, -16],
 [-5, -1, 4, 4],
 [5, 14, -1, 4]]

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


[User]
Determine the rank of the following matrix:
[[17, 10, 22, 20],
 [4, -13, -1, -8],
 [-2, -14, -6, -11],
 [16, 4, 12, 7]]

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


[User]
Determine the rank of the following matrix:
[[8, 5, -12, 1],
 [-8, -7, 12, -11],
 [-2, 1, 3, 11],
 [-6, -7, 9, -17]]

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


[User]
Determine the rank of the following matrix:
[[-7, 5, -3, 15],
 [-8, 4, 0, 6],
 [-10, 6, -2, 14],
 [-10, 4, 2, 1]]

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


[User]
Determine the rank of the following matrix:
[[8, 2, 16, 14],
 [12, -11, -8, 3],
 [8, -12, -16, -4],
 [9, -10, -10, 0]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[7, 11, 10, -10],
 [4, 8, 6, -8],
 [0, 12, 2, -16],
 [-1, 7, 0, -10]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[1, 12, -8, 24],
 [2, 0, 0, -7],
 [6, 16, -4, 9],
 [-2, 8, 12, 8]]

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


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

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-3, -9, 0, 20],
 [5, 12, -1, -28],
 [-13, 3, 14, 12],
 [-1, 3, 2, -4]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[3, -7, 14, 6],
 [-4, -6, 0, -14],
 [-9, 4, -20, 1],
 [4, 0, 6, -14]]

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[0, 16, -12, -12],
 [3, 1, -12, 0],
 [4, -8, -9, 7],
 [2, 2, -9, -1]]

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


[User]
Find the rank of the matrix:
[[0, 1, 0, -11],
 [-11, -1, -7, 8],
 [-10, 0, -5, 3],
 [-1, -1, -7, -16]]

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


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

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-18, 4, 6, -5],
 [-9, 9, -10, -4],
 [-19, 3, 10, -8],
 [-13, 3, -6, 18]]?

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


[User]
What is the rank of the matrix:
[[-2, -7, 16, 6],
 [-8, -10, -8, 12],
 [-18, 3, -3, 1],
 [-8, 14, -26, -10]]?

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


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

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


[User]
What is the rank of the matrix:
[[-4, 12, -12, 4],
 [3, -7, 6, -1],
 [-2, 14, -18, 10],
 [-1, 11, -15, 9]]?

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


[User]
Find the rank of the matrix:
[[2, -14, -4, -20],
 [3, -7, -6, -9],
 [-1, 7, 2, 10],
 [0, -4, 0, -6]]

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


[User]
Determine the rank of the following matrix:
[[4, -20, 8, -12],
 [1, -5, 2, -3],
 [18, -5, 1, 6],
 [28, -4, 0, 12]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[0, -14, -16, 22],
 [-3, -5, -19, 19],
 [1, 5, -7, 3],
 [4, 2, 20, -18]]

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


[User]
Find the rank of the matrix:
[[19, -23, 10, 8],
 [13, -14, 14, -8],
 [6, -6, 4, 8],
 [-17, 19, -12, -7]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[9, -3, -4, -12],
 [-2, -6, 0, 8],
 [-5, 0, 2, 8],
 [19, -3, -8, -28]]

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


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

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


[User]
Find the rank of the matrix:
[[-12, 0, -24, 3],
 [-16, 0, -32, 4],
 [13, 0, 20, 8],
 [-9, 0, -12, -9]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[8, 8, -1, 0],
 [24, 12, 3, -12],
 [16, 8, 2, -8],
 [-28, -15, -3, 13]]

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


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

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


[User]
Determine the rank of the following matrix:
[[4, -28, 12, 8],
 [-16, 24, -26, -10],
 [-12, -10, 10, 12],
 [-17, 5, 9, 12]]

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


[User]
Find the rank of the matrix:
[[-1, -4, -2, -15],
 [4, 6, -9, -18],
 [-7, -22, 3, 3],
 [7, 6, -17, -9]]

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


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

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


[User]
Find the rank of the matrix:
[[6, -4, -4, -9],
 [0, -2, -8, -6],
 [-4, 1, -4, 1],
 [8, 3, 28, 13]]

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


[User]
Find the rank of the matrix:
[[-19, 6, -22, 19],
 [-5, -12, 16, -10],
 [11, 22, -13, 2],
 [19, 0, 3, -3]]

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


[User]
What is the rank of the matrix:
[[-10, 11, 10, 4],
 [5, -9, -5, -1],
 [10, -4, -10, -6],
 [-11, 10, 11, 5]]?

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


[User]
Determine the rank of the following matrix:
[[-7, -5, -20, -36],
 [-8, -4, -20, -40],
 [0, -12, 4, 4],
 [-5, 2, -13, -26]]

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


[User]
What is the rank of the matrix:
[[-13, -10, 0, -7],
 [20, 3, -4, 15],
 [-2, -18, 16, 6],
 [-14, -4, 0, -10]]?

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


[User]
Determine the rank of the following matrix:
[[-9, -12, -8, -14],
 [-9, -10, 1, -7],
 [18, 28, 22, 30],
 [-4, -12, -14, -10]]

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


[User]
What is the rank of the matrix:
[[4, 16, 28, -24],
 [-4, -16, -28, 24],
 [-24, 16, 0, -10],
 [4, 16, 28, -24]]?

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


[User]
Find the rank of the matrix:
[[-17, -3, 6, 4],
 [-33, -3, 6, 12],
 [8, 4, -4, -10],
 [-12, 16, -20, -6]]

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, -3, -12, 3]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[8, -5, 8, -1],
 [18, 15, -12, 9],
 [22, 16, -12, 10],
 [-16, -4, 0, -4]]

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-6, -14, -2, 8],
 [-12, -28, -4, 16],
 [-12, -28, -4, 16],
 [5, 9, -13, -4]]

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


[User]
Determine the rank of the following matrix:
[[18, -8, 14, -1],
 [-22, 24, -15, 4],
 [-18, 44, -10, 4],
 [10, 0, 9, 2]]

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


[User]
Determine the rank of the following matrix:
[[8, -16, 16, -4],
 [-11, -7, 5, 3],
 [-20, -16, 18, 10],
 [-7, 15, -12, 6]]

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


[User]
What is the rank of the matrix:
[[5, 20, 4, -9],
 [-8, 18, -4, -9],
 [8, -16, -8, 0],
 [13, 4, -4, -9]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[9, 2, 0, -10],
 [1, 5, 2, 12],
 [9, 4, -4, 10],
 [4, 7, 10, -10]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-10, 16, -8, -2],
 [-20, 8, 16, 14],
 [-25, 16, 12, 13],
 [-28, 16, 16, 16]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[0, 0, 12, -3],
 [0, 0, -16, 4],
 [0, 0, -12, 3],
 [-21, -14, -16, 18]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-11, 6, -3, 8],
 [-9, 6, 0, 12],
 [6, -8, -9, -28],
 [1, -6, -12, -28]]

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


[User]
What is the rank of the matrix:
[[0, -3, 6, -3],
 [0, -8, 15, -20],
 [0, -5, 0, -5],
 [0, 3, -10, 15]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-1, -12, 4, 17],
 [4, -6, 2, 10],
 [-3, -9, 3, 12],
 [11, 6, -2, -5]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[4, -1, 0, -4],
 [4, 8, -3, -7],
 [-12, 18, -5, 7],
 [4, -7, 2, -2]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-4, -6, 2, 16],
 [-5, -8, 5, 28],
 [9, 11, 8, 4],
 [10, 14, 0, -24]]

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


[User]
What is the rank of the matrix:
[[0, -16, -32, 0],
 [0, 16, 24, 8],
 [0, 0, -16, 16],
 [0, 16, 20, 12]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[3, 5, 13, 18],
 [2, -18, 10, 4],
 [1, -1, 2, 4],
 [-1, 7, -8, -4]]

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


[User]
Find the rank of the matrix:
[[2, 27, 14, -8],
 [-4, -18, -7, 3],
 [2, -29, -18, 12],
 [8, -24, -22, 16]]

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


[User]
Determine the rank of the following matrix:
[[-10, -22, -8, -20],
 [-1, -13, -14, -8],
 [9, 0, -17, 7],
 [12, 12, -8, 16]]

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


[User]
Determine the rank of the following matrix:
[[12, 7, 2, 5],
 [-14, -9, -4, -5],
 [-4, -3, -2, -1],
 [-12, -8, -4, -4]]

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


[User]
Calculate the rank of matrix A where A =
[[9, 19, 5, -24],
 [-12, -1, -11, 35],
 [-16, -2, -14, 38],
 [-6, -9, -3, 1]]

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


[User]
Calculate the rank of matrix A where A =
[[2, 4, 2, 0],
 [-12, 0, -2, 2],
 [-4, -20, -9, -1],
 [6, -24, -9, -3]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-4, 23, 18, 23],
 [-10, -4, 21, 13],
 [2, -28, -18, -26],
 [-8, 22, 0, 2]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-1, 4, -2, 23],
 [-4, 7, -6, 14],
 [-1, 3, -8, 5],
 [-8, 12, -22, -5]]

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[0, 1, -3, -2],
 [4, -9, -6, -6],
 [-6, 1, -3, 7],
 [-4, 13, 5, 4]]?

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[12, 20, -5, 14],
 [-10, -13, 9, -1],
 [-6, -9, 0, -6],
 [2, 3, -2, 1]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[17, -15, 14, -13],
 [-18, 15, -11, 12],
 [-1, 3, -10, 5],
 [0, 3, -13, 6]]

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


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

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


[User]
What is the rank of the matrix:
[[-4, -8, -6, 18],
 [-8, -4, -8, 20],
 [-8, 2, -6, 12],
 [8, -17, 1, 8]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[8, 0, 0, -8],
 [24, 6, -5, 3],
 [0, 8, 4, 28],
 [12, 2, -15, 7]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[11, 16, 18, -13],
 [7, 23, 18, -18],
 [11, 3, 10, -2],
 [9, 0, 6, 1]]

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


[User]
Find the rank of the matrix:
[[-4, 16, 19, 13],
 [-2, -16, -23, -11],
 [-16, -2, -19, -1],
 [-17, 5, -13, 2]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-16, -12, 0, -4],
 [4, -4, -4, 4],
 [-15, -6, 3, -6],
 [-9, -5, 1, -3]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-4, 6, -4, -8],
 [16, -16, 0, 8],
 [-4, 10, -12, -20],
 [-2, 1, 2, 2]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[7, 27, 6, -12],
 [-3, 19, -1, -11],
 [10, 1, 5, 4],
 [0, -5, -7, 8]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[4, -28, -8, 0],
 [13, -16, -8, -9],
 [13, 9, -2, -12],
 [-9, -12, 0, 9]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-2, 5, -4, -7],
 [28, -28, 20, 20],
 [-12, 16, -12, -16],
 [0, 7, -6, -13]]?

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


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

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


[User]
Find the rank of the matrix:
[[-12, -10, 12, 2],
 [-10, -13, 14, 7],
 [-8, 12, -8, -20],
 [-20, -12, 16, -2]]

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


[User]
Find the rank of the matrix:
[[-16, 17, -12, -1],
 [-4, -4, -23, 8],
 [12, -15, 2, 3],
 [-4, 4, 17, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[-2, -8, 4, 10],
 [-8, -19, -10, 1],
 [-6, -14, -8, 0],
 [0, 3, -6, -9]]

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


[User]
Determine the rank of the following matrix:
[[-6, -10, 12, -2],
 [0, 0, 0, 0],
 [-5, 1, 10, -3],
 [-1, 24, 2, -4]]

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


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

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


[User]
What is the rank of the matrix:
[[-11, 3, 4, 19],
 [-16, 12, 16, 20],
 [-17, 9, 12, 25],
 [-3, 3, 4, 3]]?

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


[User]
Calculate the rank of matrix A where A =
[[12, 10, -4, 15],
 [-2, -3, -14, 27],
 [24, 6, 8, 21],
 [16, 10, 8, 0]]

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


[User]
Find the rank of the matrix:
[[4, 5, 0, 1],
 [4, 18, -13, 15],
 [5, 9, -10, 7],
 [13, 0, 0, -8]]

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


[User]
Calculate the rank of matrix A where A =
[[22, -14, 24, -6],
 [26, -15, 28, -9],
 [4, -18, 16, -6],
 [12, -3, 12, -9]]

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


[User]
Calculate the rank of matrix A where A =
[[0, -8, -8, -6],
 [4, -4, 0, -3],
 [-2, 20, 18, 15],
 [-4, 0, -4, 0]]

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


[User]
Determine the rank of the following matrix:
[[-10, -12, -12, -8],
 [-5, -6, -6, -4],
 [-12, -16, -8, -4],
 [2, 2, 4, 3]]

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


[User]
Calculate the rank of matrix A where A =
[[-1, -3, -4, 10],
 [6, 6, 8, -8],
 [-16, -15, -20, 17],
 [17, 15, 20, -14]]

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


[User]
Find the rank of the matrix:
[[4, -3, 3, 17],
 [10, -6, -6, 4],
 [-4, 1, 2, -9],
 [-1, 3, 0, 8]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[0, 9, 17, 8],
 [-10, 4, 2, 8],
 [-8, 5, 5, 8],
 [14, -11, -13, -16]]

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


[User]
Determine the rank of the following matrix:
[[-14, -4, 12, 0],
 [3, -12, 0, -12],
 [10, 5, -9, 2],
 [-11, -1, 9, 2]]

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


[User]
Calculate the rank of matrix A where A =
[[-5, 4, 4, 4],
 [2, 2, -1, 2],
 [15, -6, -11, -6],
 [-12, 0, 8, 0]]

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


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

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


[User]
What is the rank of the matrix:
[[20, -8, 2, -4],
 [-18, 0, -5, -2],
 [-2, 8, -13, 14],
 [22, 0, -9, 10]]?

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


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

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[0, -16, -8, 10],
 [6, 12, 14, -6],
 [-3, 14, -11, -2],
 [14, -13, 4, 16]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-3, 3, -3, 18],
 [16, 2, 10, -6],
 [-2, -1, -1, -3],
 [-11, -4, -6, -9]]

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


[User]
Determine the rank of the following matrix:
[[2, -28, 8, -10],
 [9, -2, 14, -9],
 [-2, -20, -8, 6],
 [-1, 10, -6, 7]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-7, -2, -13, -21],
 [7, -4, -17, -11],
 [6, 1, 7, 12],
 [-3, -8, -29, 0]]

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


[User]
What is the rank of the matrix:
[[-9, 3, 6, 5],
 [-20, 4, 8, 4],
 [-7, 2, 4, 3],
 [-3, 3, 6, 7]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[20, 4, -8, -4],
 [8, 17, -13, 4],
 [-14, -5, 7, 2],
 [-13, -7, 8, 1]]

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


[User]
Calculate the rank of matrix A where A =
[[22, 16, 4, 2],
 [3, 3, 3, -12],
 [12, 8, 0, 12],
 [5, 3, -1, 10]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-13, 17, -12, 11],
 [8, -28, 0, 8],
 [12, 0, 16, 12],
 [5, -17, 0, 9]]

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


[User]
Calculate the rank of matrix A where A =
[[-14, 19, 12, -8],
 [13, -18, -4, 11],
 [0, 1, -20, -10],
 [2, -2, -16, -6]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-10, 10, -12, 0],
 [-4, 4, 3, -13],
 [-6, 6, -9, 3],
 [6, -6, 6, 2]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-13, -31, 12, -5],
 [-13, 1, -12, -6],
 [16, 21, -3, 5],
 [-3, -20, 9, -6]]

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


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

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


[User]
Find the rank of the matrix:
[[-2, 6, 12, -10],
 [4, 4, 0, -4],
 [0, -8, -12, 12],
 [0, -2, -3, 3]]

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


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

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


[User]
Find the rank of the matrix:
[[3, -11, -15, -5],
 [-3, -5, -9, -3],
 [3, 13, 21, 7],
 [-18, 2, -6, -2]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-4, 1, 0, 4],
 [4, 10, 8, 8],
 [-2, -5, -4, -4],
 [6, -7, -4, -12]]

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


[User]
Determine the rank of the following matrix:
[[-12, 12, 4, -12],
 [-13, 5, 12, -7],
 [-11, -5, 8, 1],
 [19, 13, 12, -5]]

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


[User]
Find the rank of the matrix:
[[0, -12, 4, 8],
 [9, -20, -3, 9],
 [-8, 10, 0, -4],
 [-2, 11, 9, -4]]

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


[User]
What is the rank of the matrix:
[[0, -12, 0, 24],
 [8, -7, -4, 14],
 [-16, 5, 8, -10],
 [4, -2, -2, 4]]?

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


[User]
What is the rank of the matrix:
[[4, 10, -15, -7],
 [20, -4, 6, -8],
 [0, -12, 18, 6],
 [2, -4, 6, 1]]?

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


[User]
Calculate the rank of matrix A where A =
[[7, -2, -4, 10],
 [16, 4, -4, 24],
 [4, 1, -1, 6],
 [3, -3, -3, 4]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[8, 0, 6, 0],
 [-4, -9, 9, -15],
 [11, 2, -9, 5],
 [14, -8, -8, -10]]

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


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

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


[User]
What is the rank of the matrix:
[[24, -3, -15, -25],
 [28, 0, -16, -28],
 [8, 6, -2, -6],
 [-4, -3, 1, 3]]?

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


[User]
Calculate the rank of matrix A where A =
[[2, -8, -10, -2],
 [2, -18, -16, 0],
 [14, 18, 8, -8],
 [-3, -11, -24, -8]]

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[8, 4, -7, 8],
 [4, 12, -11, -6],
 [-2, 12, -8, -15],
 [-8, -24, 22, 12]]

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


[User]
Determine the rank of the following matrix:
[[-9, 0, -2, 5],
 [-7, -5, 4, -5],
 [3, -3, 4, -7],
 [7, -4, 6, -11]]

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


[User]
Determine the rank of the following matrix:
[[5, -18, -6, 11],
 [-2, -1, -2, 4],
 [-8, -7, -8, 18],
 [-9, -16, -14, 29]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[15, 7, -7, -30],
 [-5, 17, 8, 1],
 [-13, 1, 7, 24],
 [-6, 8, 13, -1]]

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


[User]
What is the rank of the matrix:
[[15, -6, -7, -5],
 [-28, 0, 4, -4],
 [-2, -9, -7, -11],
 [15, -6, -7, -5]]?

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


[User]
Find the rank of the matrix:
[[0, -8, -8, -11],
 [5, -8, 15, 10],
 [5, 4, 15, 15],
 [3, 13, -5, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[-7, -6, 16, 24],
 [-13, -11, 18, 28],
 [14, 10, -16, -24],
 [4, -10, -18, -16]]

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


[User]
Calculate the rank of matrix A where A =
[[-5, 11, -17, 7],
 [-6, -16, 4, 1],
 [-1, 11, -29, -6],
 [-9, 3, -21, 6]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-26, 6, -3, 9],
 [16, 1, -2, 3],
 [28, 1, 4, -3],
 [2, 1, -2, 3]]

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


[User]
Determine the rank of the following matrix:
[[-8, -7, -9, -7],
 [11, -3, -8, -5],
 [10, 6, 8, 2],
 [15, 5, 4, 3]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[0, 12, -9, -12],
 [-9, -5, 18, 14],
 [9, 1, -15, -10],
 [-12, -4, 22, 16]]

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


[User]
What is the rank of the matrix:
[[2, 4, 0, 8],
 [-4, -13, -2, -28],
 [-20, -10, 12, -8],
 [-22, -9, 14, -4]]?

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


[User]
Determine the rank of the following matrix:
[[-4, 10, 10, 18],
 [-4, 10, 10, 18],
 [10, -14, -22, -16],
 [0, 2, 12, -3]]

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


[User]
What is the rank of the matrix:
[[16, 8, -8, 16],
 [20, 6, -10, 10],
 [12, 10, -6, 22],
 [8, -2, -8, 2]]?

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


[User]
Determine the rank of the following matrix:
[[2, 0, -7, -11],
 [-8, -12, -8, 8],
 [8, 15, 17, 1],
 [-4, -3, 5, 13]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[16, 12, -2, 12],
 [-3, -10, 7, -13],
 [9, 6, -15, 17],
 [-10, 14, 9, 2]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[5, -11, -24, -18],
 [-30, 22, 4, -1],
 [-13, 13, 14, 8],
 [1, -3, 4, -7]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-12, 6, 12, 12],
 [-9, -9, -18, -9],
 [-2, -5, -10, -6],
 [-10, 2, 4, 6]]

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


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

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[17, 5, 6, -15],
 [10, 4, 3, -9],
 [-1, 5, -3, 0],
 [-11, 1, -6, 9]]

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[22, -13, -12, 2],
 [-10, 0, -4, 5],
 [8, -7, -8, 3],
 [2, 7, 12, -8]]

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


[User]
Find the rank of the matrix:
[[-8, -12, -8, 12],
 [-2, -2, -12, 14],
 [-5, -6, -20, 24],
 [-4, -4, -24, 28]]

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


[User]
What is the rank of the matrix:
[[0, -9, 9, 3],
 [-7, 16, -9, -10],
 [2, -11, 9, 5],
 [-2, 11, -9, -5]]?

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[2, -11, 4, 1],
 [-7, 8, -7, -7],
 [-3, 9, -1, -4],
 [-13, 6, -9, -15]]?

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


[User]
What is the rank of the matrix:
[[-4, 10, -4, 1],
 [0, -16, 0, -4],
 [4, 14, 4, 5],
 [-4, 14, -4, 2]]?

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


[User]
Determine the rank of the following matrix:
[[-9, -16, 3, 4],
 [-13, -14, -3, 23],
 [-9, -4, -8, 24],
 [4, 8, -2, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[0, -18, -6, 0],
 [6, -4, -6, 20],
 [33, -4, -27, -16],
 [15, -22, -19, 8]]

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


[User]
Calculate the rank of matrix A where A =
[[14, -10, -9, 8],
 [18, -20, -12, -1],
 [-18, 16, 12, -5],
 [-20, 12, 15, -12]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-6, -8, 8, -2],
 [3, 4, -4, 1],
 [6, 8, -8, 2],
 [9, 12, -12, 3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-6, -6, 4, -6],
 [6, 6, -4, 6],
 [9, 9, -6, 9],
 [0, 0, 0, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[13, -7, 20, 2],
 [-1, 13, 4, -14],
 [7, -10, 8, 8],
 [9, -9, 12, 6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-4, 2, -4, 0],
 [7, -12, -14, 8],
 [13, -6, 6, -12],
 [-4, 8, 7, -11]]?

Present the answer in LaTex format: \boxed{Your answer}