[User]
Compute the rank of the given 4x4 matrix:
[[1, 6, 10, 17],
 [-36, 12, -12, 4],
 [-7, 14, 12, 13],
 [12, -6, 0, -12]]

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


[User]
Calculate the rank of matrix A where A =
[[1, 6, 5, 6],
 [13, -4, -2, 4],
 [27, -8, 0, 0],
 [28, -16, -4, -12]]

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


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

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


[User]
Find the rank of the matrix:
[[4, 5, -25, 6],
 [-10, -2, 24, -8],
 [-14, 2, 16, -8],
 [14, -8, 6, 4]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[17, 11, 21, -2],
 [10, 9, 9, -2],
 [-6, 12, -8, 16],
 [-16, -8, -28, -4]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[7, -8, -14, 16],
 [1, 1, 3, 0],
 [7, -8, -9, 12],
 [4, -5, -12, 12]]?

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


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

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


[User]
What is the rank of the matrix:
[[6, 7, -3, 12],
 [-8, -6, 12, 2],
 [-10, -6, 16, 6],
 [6, 11, -9, 6]]?

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-3, -4, -10, 14],
 [-9, 3, -6, 3],
 [-5, 5, 2, -7],
 [2, 1, 4, -5]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-12, -8, -28, -4],
 [4, 4, 0, 4],
 [15, 11, 13, 12],
 [-11, -15, 19, -16]]

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


[User]
Determine the rank of the following matrix:
[[10, 40, -2, -16],
 [2, -6, 9, 3],
 [11, 27, -6, -5],
 [0, -10, -7, 9]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[0, -8, -2, 0],
 [-3, 12, 6, -6],
 [1, 20, 4, 2],
 [2, 24, 4, 4]]

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


[User]
What is the rank of the matrix:
[[10, -2, 13, 5],
 [-2, 2, 13, 7],
 [38, -22, 8, 2],
 [24, -8, 0, -4]]?

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


[User]
Find the rank of the matrix:
[[2, 16, 7, -26],
 [-1, 3, 3, 0],
 [4, 19, 7, -28],
 [2, 2, -1, -6]]

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


[User]
Determine the rank of the following matrix:
[[15, -16, -19, -7],
 [12, -11, 4, -7],
 [-8, -12, -16, -9],
 [4, -21, -28, -12]]

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


[User]
Determine the rank of the following matrix:
[[-4, -3, -3, 17],
 [-19, 23, 2, -2],
 [-4, 10, 4, -12],
 [8, -12, -2, 6]]

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


[User]
Calculate the rank of matrix A where A =
[[-15, 6, -11, 2],
 [18, -11, 7, -3],
 [9, -20, 1, -6],
 [-1, 14, 5, 4]]

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


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

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


[User]
Find the rank of the matrix:
[[0, -10, 6, 2],
 [-14, 9, 7, -12],
 [8, 3, -1, 3],
 [5, 7, 17, -5]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[28, -24, 3, 7],
 [-12, 9, 0, -12],
 [-32, 28, -4, -4],
 [32, -28, 4, 4]]

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


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

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


[User]
What is the rank of the matrix:
[[-4, 2, 4, 0],
 [8, -15, -2, 28],
 [26, -21, 7, 28],
 [17, -8, 10, 6]]?

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


[User]
Calculate the rank of matrix A where A =
[[0, -11, 10, -12],
 [-5, -3, 0, 4],
 [5, -8, 10, -16],
 [-11, -11, 4, 4]]

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


[User]
Find the rank of the matrix:
[[0, -1, 16, -10],
 [-32, -4, -24, -10],
 [8, 18, 4, -3],
 [0, 2, -12, 7]]

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


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

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


[User]
What is the rank of the matrix:
[[-2, 2, 23, -11],
 [-29, -12, -18, 6],
 [-1, -12, 24, -15],
 [-7, 8, -22, 13]]?

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-16, -10, 2, -16],
 [20, 17, -10, 20],
 [-20, -11, 0, -20],
 [8, 8, -6, 8]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-25, -2, 18, 12],
 [29, 3, -22, -15],
 [4, 3, -6, 10],
 [-21, -4, 18, 2]]

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


[User]
What is the rank of the matrix:
[[-17, -3, 0, 14],
 [-12, -15, 11, -14],
 [6, 0, -6, 0],
 [-2, -3, -15, 14]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[12, 9, -12, -3],
 [5, 5, -7, -1],
 [-2, -4, 6, 0],
 [9, 8, -11, -2]]

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


[User]
Determine the rank of the following matrix:
[[-2, -7, 2, -6],
 [5, -2, -10, -17],
 [-3, -12, -8, -11],
 [-2, -5, -14, -2]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[10, 8, 4, 11],
 [10, -18, 8, -11],
 [-6, 16, -2, 12],
 [-4, 26, 0, 22]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-14, -6, 8, -13],
 [0, -12, 12, 6],
 [-14, -22, 24, -5],
 [-22, -18, 28, -7]]

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


[User]
Determine the rank of the following matrix:
[[-26, 2, -10, 9],
 [-22, -2, -6, 11],
 [-12, -6, 0, 9],
 [-16, 4, -8, -2]]

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


[User]
Determine the rank of the following matrix:
[[-24, 14, 11, -10],
 [-10, 2, 0, -3],
 [4, -2, 1, 4],
 [-12, 0, 2, 2]]

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


[User]
Find the rank of the matrix:
[[-13, -2, -2, -2],
 [4, -8, -8, 6],
 [-10, -2, 7, -2],
 [14, -2, 7, 4]]

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


[User]
Calculate the rank of matrix A where A =
[[-4, -10, 4, -4],
 [-8, -21, 3, -8],
 [22, 0, 18, 22],
 [4, -12, 12, 4]]

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


[User]
Determine the rank of the following matrix:
[[6, -2, 13, 3],
 [9, 2, 8, -3],
 [-5, -6, 18, 9],
 [-9, -12, 27, 18]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[13, 10, 2, -1],
 [10, -6, -16, -12],
 [3, 10, 11, 6],
 [-6, -18, 21, -15]]

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


[User]
Find the rank of the matrix:
[[-9, 0, -3, 0],
 [16, -16, -4, 16],
 [-10, 4, 7, 4],
 [-4, 16, 14, -10]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[6, -5, -4, -4],
 [13, 2, 10, -1],
 [2, -22, 4, -6],
 [-8, -4, 4, 2]]

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


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

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


[User]
Find the rank of the matrix:
[[-8, -8, -4, -6],
 [22, 14, 14, 8],
 [12, 12, 6, 9],
 [2, -6, 4, -7]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[5, 12, 3, -12],
 [-17, -6, -13, -8],
 [25, 7, 19, 13],
 [-14, -3, -11, -10]]

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-19, 9, 2, 1],
 [3, -7, -13, 7],
 [16, -18, -14, 10],
 [19, -11, -4, 1]]?

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


[User]
Determine the rank of the following matrix:
[[-1, 1, 8, -10],
 [-3, 8, -3, -8],
 [0, 0, -7, 7],
 [8, -14, 2, 20]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-4, -6, -8, 14],
 [-6, -4, -6, 6],
 [13, 7, 11, -8],
 [-16, -4, -8, -4]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[0, 8, -12, -4],
 [-6, 12, -8, -10],
 [-12, 14, -1, -15],
 [15, -16, -1, 18]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-14, 8, -19, -4],
 [10, -16, -2, -6],
 [-24, 20, -20, 0],
 [-28, 5, -5, 6]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-3, -9, 18, 1],
 [0, -3, 6, -13],
 [15, 1, -2, -3],
 [-12, -3, 6, 11]]

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


[User]
Calculate the rank of matrix A where A =
[[3, -10, 20, -14],
 [-10, -4, 8, 12],
 [4, -22, 28, -1],
 [1, 11, -16, -1]]

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


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

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


[User]
Find the rank of the matrix:
[[20, 10, -6, -16],
 [-10, -5, 3, 8],
 [-1, -11, -6, 12],
 [-6, -6, 0, 8]]

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-8, 6, 2, 4],
 [14, -13, 5, 2],
 [-19, 18, -8, -4],
 [9, -8, 2, 0]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-8, -6, -11, 5],
 [-8, -17, 0, 11],
 [0, 5, -3, -4],
 [4, 5, 1, -2]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-10, -12, 19, 3],
 [-5, 12, -3, 10],
 [2, 28, -3, 25],
 [0, 12, -23, -5]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-23, -3, -11, 22],
 [-8, 3, -11, 7],
 [10, 11, -15, 5],
 [3, 8, -14, 8]]

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


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

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


[User]
What is the rank of the matrix:
[[-3, -6, -11, -13],
 [-3, 0, -23, -19],
 [9, 0, 5, 1],
 [-10, -8, -2, -4]]?

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


[User]
Calculate the rank of matrix A where A =
[[-8, -10, -10, -6],
 [0, 22, 2, 6],
 [14, -5, 4, 5],
 [-6, 4, 5, -2]]

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


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

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


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

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


[User]
Find the rank of the matrix:
[[-15, -6, 11, 23],
 [-17, -8, -1, 17],
 [-11, -3, 12, 19],
 [-7, -9, 18, 23]]

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


[User]
Determine the rank of the following matrix:
[[10, 12, 22, -4],
 [17, 7, 4, -2],
 [6, 5, 7, 0],
 [-8, -6, -2, -13]]

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


[User]
Calculate the rank of matrix A where A =
[[-4, -16, -4, -16],
 [3, -1, 0, -5],
 [-17, -16, -5, 0],
 [-5, -7, -2, -3]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-20, 4, 0, 2],
 [-6, 4, 20, -5],
 [20, 4, 16, 0],
 [8, 4, 24, -5]]

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


[User]
Calculate the rank of matrix A where A =
[[0, 3, 5, -18],
 [11, -5, -1, 8],
 [3, 0, 2, -6],
 [-3, 0, -2, 6]]

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


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

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


[User]
Find the rank of the matrix:
[[0, -12, 0, -8],
 [-2, 11, 0, 9],
 [8, 7, 0, -2],
 [-6, -15, 0, -5]]

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


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

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[2, -10, -8, -10],
 [6, -4, -25, 5],
 [-8, 17, 17, 12],
 [6, -12, -2, -10]]

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


[User]
Calculate the rank of matrix A where A =
[[-14, 14, -4, 2],
 [7, -7, 0, 6],
 [-12, 12, -13, 3],
 [9, -9, 1, 5]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[7, -20, 3, 18],
 [0, 1, 3, -5],
 [-8, 5, 15, 7],
 [2, -12, 6, 16]]

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


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

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


[User]
Find the rank of the matrix:
[[5, 3, 5, 1],
 [16, -2, 11, 0],
 [-15, 4, -8, 4],
 [10, -7, 3, -5]]

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


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

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


[User]
What is the rank of the matrix:
[[-16, 4, 0, 2],
 [-1, -6, -5, -3],
 [16, -4, 0, -2],
 [5, 10, 9, 5]]?

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


[User]
What is the rank of the matrix:
[[0, 4, 1, 4],
 [-9, 10, -8, 2],
 [-7, 12, -11, 5],
 [-2, 12, -1, 10]]?

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


[User]
Find the rank of the matrix:
[[-14, -21, -4, -21],
 [-7, -8, -3, -8],
 [-8, -12, -4, -12],
 [-12, -13, 1, -13]]

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


[User]
Find the rank of the matrix:
[[8, 20, 16, -20],
 [5, -1, -5, 4],
 [3, 12, 11, -13],
 [16, 4, -8, 4]]

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


[User]
What is the rank of the matrix:
[[-12, -19, -9, -7],
 [3, 1, -13, -3],
 [-10, -10, -14, -6],
 [-7, 6, 10, 4]]?

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


[User]
What is the rank of the matrix:
[[3, -8, 3, 14],
 [16, 4, -12, 0],
 [-3, -2, 3, 2],
 [-5, -10, 9, 14]]?

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[0, 15, 7, -11],
 [1, -14, -10, -15],
 [-7, -12, 2, 19],
 [-2, -2, 0, -8]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[-1, 19, 22, 2],
 [5, -18, -26, 4],
 [-3, -9, -6, -6],
 [-17, 18, 14, 4]]

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


[User]
What is the rank of the matrix:
[[12, 10, 4, -23],
 [-16, 4, -9, -9],
 [12, 2, 4, -3],
 [4, 2, -1, -2]]?

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


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

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


[User]
Find the rank of the matrix:
[[-3, 9, 18, -9],
 [-4, 7, 16, -10],
 [1, -1, -2, 1],
 [4, 11, 20, -8]]

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


[User]
Calculate the rank of matrix A where A =
[[-8, -24, -2, -8],
 [8, -24, -4, -4],
 [12, 8, -2, 3],
 [9, 11, 10, 18]]

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


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

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-5, -5, -1, -7],
 [7, -4, 8, 12],
 [-9, -2, -6, -14],
 [7, 1, 5, 11]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-1, -32, -1, 22],
 [-4, -40, 0, 24],
 [2, 14, 3, -5],
 [11, 22, -4, -2]]

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


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

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


[User]
Find the rank of the matrix:
[[4, 1, -4, 4],
 [-8, -2, 8, -8],
 [-8, -2, -24, -8],
 [12, 3, -4, 12]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[-2, 6, 2, -8],
 [-9, 3, -15, 12],
 [2, -10, -6, 16],
 [1, -7, -5, 12]]

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-1, 1, -7, 1],
 [6, -6, -6, 2],
 [-18, 18, 24, -7],
 [11, -11, -13, 4]]

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[32, 5, 28, 30],
 [9, 14, 10, 10],
 [12, -20, 8, 8],
 [-17, 9, -14, -14]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-3, -2, 6, 7],
 [12, -24, -8, 4],
 [-12, 8, 16, 12],
 [0, -8, 4, 8]]

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


[User]
What is the rank of the matrix:
[[-14, 12, -12, -16],
 [13, -12, 14, 14],
 [-4, 3, -2, -5],
 [13, -12, 14, 14]]?

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-9, 3, 6, 9],
 [-4, -4, -3, 0],
 [21, 9, 3, -9],
 [19, 15, 10, -3]]

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


[User]
Compute the rank of the given 4x4 matrix:
[[0, -2, -22, 11],
 [-6, 8, -2, 7],
 [-4, 12, -3, 13],
 [4, -6, -1, -4]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[-25, 16, 17, -12],
 [-12, 0, 2, 0],
 [-8, 0, 0, 0],
 [-11, 8, 11, -6]]?

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


[User]
What is the rank of the matrix:
[[11, 21, -9, -21],
 [-4, -3, 11, 3],
 [-7, -15, 3, 15],
 [4, 12, 4, -12]]?

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[14, -2, -6, -8],
 [-16, -4, 10, 28],
 [-5, 3, 1, -4],
 [-15, -3, 9, 24]]?

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


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

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


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

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


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

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


[User]
What is the rank of the matrix:
[[4, -20, 16, -24],
 [0, -3, 3, -6],
 [-3, 8, -5, 4],
 [4, -12, 8, -8]]?

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


[User]
What is the rank of the matrix:
[[11, 17, 0, -18],
 [13, 11, -10, -14],
 [16, 12, -14, -16],
 [-16, -12, 14, 16]]?

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


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

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


[User]
Determine the rank of the following matrix:
[[-1, -9, -5, -13],
 [3, -29, -11, -36],
 [7, -19, -7, -20],
 [-3, 13, 5, 15]]

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


[User]
Calculate the rank of matrix A where A =
[[-6, -12, 9, 9],
 [5, -18, -9, -3],
 [24, 2, -9, -17],
 [2, -2, 12, 4]]

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


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

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


[User]
Compute the rank of the given 4x4 matrix:
[[0, 1, 3, 2],
 [-6, -7, -17, -10],
 [3, 3, 7, 4],
 [6, 3, 5, 2]]

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


[User]
Determine the rank of the following matrix:
[[-16, 0, -24, 20],
 [-6, 6, -9, 3],
 [-8, -4, -12, 13],
 [12, 0, 18, -15]]

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


[User]
Determine the rank of the following matrix:
[[-5, -6, 2, -20],
 [-11, -8, 7, 8],
 [-4, -6, 2, 27],
 [13, 16, -6, 1]]

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


[User]
Calculate the rank of matrix A where A =
[[-5, -7, -8, -4],
 [5, 7, 8, 4],
 [2, -6, -10, -16],
 [5, 11, 14, 12]]

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


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

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


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

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


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

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


[User]
Find the rank of the matrix:
[[10, -5, -2, -2],
 [-6, 3, 12, -6],
 [-6, 3, -12, 10],
 [-4, 2, 8, -4]]

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


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

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


[User]
What is the rank of the matrix:
[[-3, -18, -9, 15],
 [9, -12, -9, 0],
 [-13, 7, 8, 9],
 [16, 5, -1, -16]]?

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


[User]
What is the rank of the matrix:
[[18, -3, 8, 13],
 [0, 12, -14, 20],
 [-16, 0, -4, -16],
 [14, 3, 0, 19]]?

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


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

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


[User]
What is the rank of the matrix:
[[-3, 5, -16, 19],
 [-13, -5, 7, -3],
 [-21, -7, -1, 13],
 [-13, -2, 2, 1]]?

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


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

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


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

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


[User]
Find the rank of the matrix:
[[0, -16, 12, 6],
 [-13, 4, -16, -21],
 [10, -8, 16, 18],
 [-16, 0, -16, -24]]

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


[User]
Determine the rank of the following matrix:
[[-7, -8, -10, -3],
 [-7, 2, -3, -1],
 [-15, -18, -18, -16],
 [19, 4, 15, 4]]

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


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

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


[User]
Determine the rank of the following matrix:
[[20, -16, 12, 25],
 [-2, 2, 0, -2],
 [9, -6, 9, 0],
 [-11, 9, -6, -13]]

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


[User]
What is the rank of the matrix:
[[-1, 1, 8, -19],
 [13, -5, -2, 11],
 [0, 8, 10, -20],
 [20, 44, 12, 4]]?

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


[User]
Compute the rank of the given 4x4 matrix:
[[6, 2, 2, -7],
 [-20, -10, -7, 24],
 [-24, -8, -8, 28],
 [10, 0, 3, -11]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[12, -13, 14, -15],
 [1, -18, -5, -10],
 [-8, 44, 4, 28],
 [5, 1, 5, -1]]?

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


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

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