[User]
Find the rank of the matrix:
[[40, 19, -31, -13, -27],
 [-24, 22, 21, -6, 3],
 [62, 18, -49, -20, -26],
 [-44, -6, 35, 2, 39],
 [22, -6, -18, 8, -29]]

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


[User]
Determine the rank of the following matrix:
[[9, 43, -24, 8, -14],
 [-9, 21, -14, 18, -23],
 [17, 43, -21, -15, -10],
 [-5, 29, -24, 36, -5],
 [31, 54, -27, 5, 8]]

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


[User]
What is the rank of the matrix:
[[-28, 29, 2, -10, -52],
 [-36, 51, 38, -2, -20],
 [2, -10, -24, -5, -20],
 [30, -36, -22, 8, 46],
 [-2, -5, -14, -7, -32]]?

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


[User]
What is the rank of the matrix:
[[-3, 23, 24, 22, -30],
 [-28, -23, -18, 7, -13],
 [2, -22, -21, -23, 25],
 [-27, -44, -36, -17, 7],
 [9, -10, -15, -12, 28]]?

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


[User]
What is the rank of the matrix:
[[-7, -11, 43, 30, -37],
 [46, -22, 2, 0, -26],
 [21, 6, -26, -31, 24],
 [5, 6, -63, -59, 64],
 [10, 19, -45, -13, 27]]?

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


[User]
What is the rank of the matrix:
[[-32, 17, -31, 19, -5],
 [-28, 16, -26, 17, -7],
 [-16, 19, -5, 13, -27],
 [32, -26, 22, -22, 26],
 [36, -21, 33, -22, 10]]?

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


[User]
What is the rank of the matrix:
[[45, 96, 30, 0, -30],
 [19, 33, -10, -36, 20],
 [-38, -4, -27, 18, 4],
 [-30, 30, -7, 42, -24],
 [-31, -42, -18, 24, -2]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-2, -8, 10, -6, -6],
 [27, -6, -15, -15, 3],
 [11, 6, -15, 1, 7],
 [25, 5, -25, -5, 10],
 [13, 14, -25, 7, 13]]

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


[User]
Find the rank of the matrix:
[[0, 2, 4, 8, -4],
 [0, 0, 0, 0, 0],
 [0, -1, -2, -4, 2],
 [0, -6, -12, -24, 12],
 [0, 0, 0, 0, 0]]

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


[User]
Determine the rank of the following matrix:
[[12, 48, 54, -24, -24],
 [28, 0, 6, -8, -8],
 [4, 16, 18, -8, -8],
 [-28, 0, -6, 8, 8],
 [-22, -4, -9, 8, 8]]

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


[User]
Determine the rank of the following matrix:
[[35, -9, -2, -9, 19],
 [-73, 7, 28, 13, -29],
 [-13, 31, 37, 32, 5],
 [-32, -5, -4, 5, -17],
 [36, 8, 0, 12, 20]]

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


[User]
Determine the rank of the following matrix:
[[2, 7, 24, -13, -16],
 [32, -38, 24, 2, -16],
 [24, -6, 72, -30, -48],
 [25, -25, 30, -5, -20],
 [-22, 28, -12, -4, 8]]

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


[User]
Determine the rank of the following matrix:
[[-30, 36, 12, -6, -6],
 [10, -12, -4, 2, 2],
 [15, -18, -6, 3, 3],
 [20, -24, -8, 4, 4],
 [-20, 24, 8, -4, -4]]

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


[User]
Determine the rank of the following matrix:
[[-4, -20, 27, 38, 27],
 [-17, 4, 19, 4, 7],
 [16, -20, -3, 26, 11],
 [12, -12, 10, 8, 17],
 [3, 16, -7, -36, -10]]

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


[User]
Determine the rank of the following matrix:
[[-39, -8, 7, 16, 60],
 [0, -7, 18, 16, 6],
 [-24, -4, 4, 24, 32],
 [-8, 33, 36, 10, -6],
 [32, -44, -8, -24, -8]]

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


[User]
Find the rank of the matrix:
[[-19, 10, -16, -1, 26],
 [31, 6, 6, 1, 0],
 [15, 29, 4, -39, 25],
 [30, -21, 12, 30, -33],
 [11, -10, -10, 37, 0]]

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


[User]
Determine the rank of the following matrix:
[[16, -10, -24, 18, -12],
 [-18, 15, 28, -15, 14],
 [-4, -5, 4, -15, 2],
 [-7, -5, 8, -21, 4],
 [9, -15, -16, -3, -8]]

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


[User]
What is the rank of the matrix:
[[12, -6, -15, 3, 15],
 [0, 0, 0, 0, 0],
 [16, -8, -20, 4, 20],
 [-8, 4, 10, -2, -10],
 [-4, 2, 5, -1, -5]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-16, -60, -48, 44, 37],
 [-8, 42, 42, -28, -3],
 [-22, 49, 51, -32, 23],
 [-16, 3, 21, 4, -18],
 [-22, -4, 12, 8, 8]]

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


[User]
Find the rank of the matrix:
[[11, -13, -2, -3, -7],
 [4, 10, -13, 21, -32],
 [-4, 8, -2, 6, -4],
 [-2, -14, 14, -24, 34],
 [-12, 6, 9, -9, 24]]

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


[User]
What is the rank of the matrix:
[[12, 15, -3, -9, -18],
 [20, 25, -5, -15, -30],
 [4, 5, -1, -3, -6],
 [4, 5, -1, -3, -6],
 [24, 30, -6, -18, -36]]?

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


[User]
Determine the rank of the following matrix:
[[22, -28, 32, 0, 14],
 [17, -28, 19, -7, 14],
 [17, -28, 19, -7, 14],
 [22, -28, 32, 0, 14],
 [5, 10, 22, 18, -5]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-36, 18, 6, -36, 36],
 [24, -12, -4, 24, -24],
 [-30, 15, 5, -30, 30],
 [0, 0, 0, 0, 0],
 [-18, 9, 3, -18, 18]]

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


[User]
Find the rank of the matrix:
[[-8, 16, -24, 12, -20],
 [-4, 8, -12, 6, -10],
 [10, -20, 30, -15, 25],
 [-2, 4, -6, 3, -5],
 [-6, 12, -18, 9, -15]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[24, 22, 7, -32, 2],
 [8, 8, 2, -10, 2],
 [-25, 2, 16, 28, 1],
 [25, 32, 19, -38, -1],
 [-22, -22, -12, 33, 3]]

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


[User]
Calculate the rank of matrix A where A =
[[36, 0, -6, 30, 30],
 [-6, 0, 1, -5, -5],
 [0, 0, 0, 0, 0],
 [-24, 0, 4, -20, -20],
 [-30, 0, 5, -25, -25]]

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


[User]
Calculate the rank of matrix A where A =
[[-6, -9, 9, 15, -6],
 [-12, -18, 18, 30, -12],
 [-2, -3, 3, 5, -2],
 [-12, -18, 18, 30, -12],
 [8, 12, -12, -20, 8]]

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


[User]
Find the rank of the matrix:
[[-16, 16, 52, -7, 25],
 [-11, -19, -46, 22, -19],
 [18, -3, -10, -7, -7],
 [-44, 16, 24, 14, 18],
 [12, -11, -50, 7, -23]]

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


[User]
What is the rank of the matrix:
[[-50, 34, 1, -34, 31],
 [-30, 76, -45, -24, 53],
 [-9, -16, 32, 12, -9],
 [23, 8, 2, -20, 5],
 [-27, -30, 42, -6, -14]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-48, -4, 10, 18, -6],
 [27, 9, 8, 0, -9],
 [8, -39, 5, 8, 4],
 [-37, -6, -1, 2, 9],
 [-12, 8, -24, 18, -24]]

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


[User]
Determine the rank of the following matrix:
[[12, 37, -1, 30, 15],
 [6, 27, -5, 24, 7],
 [36, 33, 18, -12, 39],
 [36, 7, 2, -68, 25],
 [0, 14, -25, -2, -10]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-20, 10, -5, 5, -15],
 [-16, 8, -4, 4, -12],
 [0, 0, 0, 0, 0],
 [0, 0, 0, 0, 0],
 [-16, 8, -4, 4, -12]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[5, 2, -2, -4, -3],
 [5, 2, -2, -4, -3],
 [15, 6, -6, -12, -9],
 [-25, -10, 10, 20, 15],
 [20, 8, -8, -16, -12]]

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


[User]
What is the rank of the matrix:
[[26, 1, 30, -21, 18],
 [-24, -19, -11, 35, -9],
 [-36, 9, -39, 15, -21],
 [14, 19, 27, -39, 21],
 [38, 18, 12, -38, 8]]?

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


[User]
Find the rank of the matrix:
[[3, 6, -18, -12, -6],
 [3, 6, -18, -12, -6],
 [1, 2, -6, -4, -2],
 [3, 6, -18, -12, -6],
 [-5, -10, 30, 20, 10]]

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


[User]
What is the rank of the matrix:
[[-2, -12, -8, 10, -2],
 [5, 30, 20, -25, 5],
 [1, 6, 4, -5, 1],
 [4, 24, 16, -20, 4],
 [4, 24, 16, -20, 4]]?

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


[User]
Determine the rank of the following matrix:
[[22, 16, 12, 2, -14],
 [26, 2, 6, 10, -10],
 [42, 8, 12, 14, -18],
 [-22, 15, 3, -16, 2],
 [2, 24, 12, -10, -10]]

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


[User]
Find the rank of the matrix:
[[23, 72, 38, -10, 24],
 [12, -7, -16, -9, -23],
 [-50, -48, -10, 6, 19],
 [-29, -33, -18, -25, 2],
 [-22, 19, 24, 21, 31]]

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


[User]
Determine the rank of the following matrix:
[[-21, -2, -28, 32, 0],
 [-14, -33, 19, -22, 18],
 [-51, -45, -38, -39, 64],
 [-27, 4, -33, 5, -5],
 [48, 24, 48, 18, -39]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[14, -10, 6, -17, 2],
 [14, -10, 6, -17, 2],
 [-7, 8, -16, 8, 4],
 [-29, 16, 8, 36, -12],
 [-25, 20, -20, 30, 0]]

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


[User]
Find the rank of the matrix:
[[-44, 36, -22, -22, -8],
 [9, -6, 9, 0, -2],
 [11, -24, -16, 27, 30],
 [-23, 12, -27, 4, 11],
 [53, -42, 17, 36, 12]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-4, -60, -40, 28, 4],
 [-4, -48, -36, 16, 4],
 [-7, -33, -12, 39, -9],
 [42, -18, 0, -18, 54],
 [-3, -9, -18, -15, 3]]

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


[User]
Determine the rank of the following matrix:
[[-10, 20, 15, -11, -49],
 [36, -32, -14, 43, 57],
 [35, -9, 22, -1, -1],
 [27, 27, 6, -7, -35],
 [61, -5, 21, 5, 1]]

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


[User]
What is the rank of the matrix:
[[0, -30, 25, 30, -30],
 [0, 6, -5, -6, 6],
 [0, -36, 30, 36, -36],
 [0, 30, -25, -30, 30],
 [0, 12, -10, -12, 12]]?

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


[User]
Find the rank of the matrix:
[[-12, -21, 30, 22, -24],
 [17, 34, -25, 20, 22],
 [-4, -45, 32, -23, -40],
 [5, 1, -1, -56, -2],
 [-27, -32, 29, 58, -18]]

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


[User]
Find the rank of the matrix:
[[-27, -18, 31, 18, 24],
 [14, 7, 20, -2, -4],
 [7, 1, 22, -14, 14],
 [-38, -23, 28, 34, 20],
 [24, 15, 12, 6, -24]]

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


[User]
Determine the rank of the following matrix:
[[-8, 25, 3, 1, 11],
 [-12, -16, -52, 7, 12],
 [-24, -10, -55, 8, -2],
 [-34, 10, -21, -7, 28],
 [34, -36, -16, 10, -14]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[12, -8, 20, -8, -24],
 [-3, 2, -5, 2, 6],
 [-15, 10, -25, 10, 30],
 [-9, 6, -15, 6, 18],
 [12, -8, 20, -8, -24]]

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


[User]
Calculate the rank of matrix A where A =
[[-12, -4, -23, 20, 38],
 [19, -9, 15, 1, -4],
 [16, -33, -1, -36, -24],
 [21, -36, -5, -5, 14],
 [-7, -20, -26, -1, 24]]

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


[User]
Find the rank of the matrix:
[[-24, 6, -37, -30, -55],
 [-2, 0, -7, -4, -15],
 [-33, 46, -29, -27, 20],
 [-50, 20, -43, -50, -23],
 [18, -2, 35, 25, 61]]

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


[User]
Calculate the rank of matrix A where A =
[[37, -16, 9, 25, 10],
 [4, 20, -46, 18, 6],
 [51, -8, -13, 40, 10],
 [0, -24, 28, 4, 28],
 [15, 10, -30, 20, 5]]

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


[User]
What is the rank of the matrix:
[[-5, 10, 5, -3, 3],
 [-6, 12, -1, -19, 12],
 [5, -10, -10, -8, 3],
 [4, -8, -21, -35, 18],
 [-6, 12, 4, -8, 6]]?

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


[User]
Determine the rank of the following matrix:
[[19, 12, -9, -8, 12],
 [26, -12, -18, -10, -12],
 [6, -12, -6, -2, -12],
 [4, 42, 6, -3, 42],
 [-2, 54, 12, -1, 54]]

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


[User]
What is the rank of the matrix:
[[14, 34, -30, 22, -10],
 [-6, -3, 9, 6, -6],
 [7, 17, -15, 11, -5],
 [11, 10, -18, -5, 7],
 [12, 6, -18, -12, 12]]?

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


[User]
Find the rank of the matrix:
[[12, -21, 26, -49, 22],
 [-3, -26, 1, -49, 37],
 [0, -6, -36, 8, -22],
 [0, -32, -24, -46, 18],
 [6, 19, 16, 28, -21]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[34, 3, 15, -1, 8],
 [24, 33, -24, 39, -15],
 [22, 31, 14, -7, -16],
 [2, -32, 12, 4, 19],
 [0, 32, -37, 26, -17]]

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


[User]
Determine the rank of the following matrix:
[[18, -18, -3, -15, -12],
 [-6, 21, -2, 8, 1],
 [12, 18, -8, -4, -14],
 [24, -4, -8, -16, -20],
 [30, 45, -20, -10, -35]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[3, -2, 11, -1, -17],
 [0, 8, -16, -4, 14],
 [0, -8, 16, 4, -14],
 [45, -18, -27, -35, 39],
 [-36, 17, 8, 26, -13]]

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


[User]
What is the rank of the matrix:
[[-3, 1, 2, -4, 4],
 [1, 10, -18, 33, -12],
 [11, 13, 10, 2, 13],
 [31, -50, 18, -41, -28],
 [-9, 27, 18, -12, 39]]?

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


[User]
Calculate the rank of matrix A where A =
[[-15, -4, 16, 18, 2],
 [5, 4, -5, -6, 2],
 [0, 0, 0, 0, 0],
 [30, 0, -33, -36, -12],
 [-15, -36, 12, 18, -30]]

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


[User]
Find the rank of the matrix:
[[-1, -35, 0, 33, -19],
 [17, 15, 20, -21, 3],
 [16, -20, 20, 12, -16],
 [14, -61, 19, 51, -38],
 [13, 20, 15, -24, 7]]

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


[User]
Calculate the rank of matrix A where A =
[[-9, -24, -30, 24, -15],
 [-8, -22, -25, 21, -15],
 [3, 14, -5, -5, 20],
 [-9, -26, -25, 23, -20],
 [8, 22, 25, -21, 15]]

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


[User]
Find the rank of the matrix:
[[20, -5, 25, -20, -5],
 [24, -6, 30, -24, -6],
 [24, -6, 30, -24, -6],
 [16, -4, 20, -16, -4],
 [-20, 5, -25, 20, 5]]

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


[User]
Determine the rank of the following matrix:
[[8, 28, 0, -24, 4],
 [12, 42, 0, -36, 6],
 [21, 1, 0, -13, -7],
 [2, 36, 0, -26, 8],
 [19, 23, 0, -27, -1]]

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


[User]
Find the rank of the matrix:
[[54, 25, 128, 23, -76],
 [45, -8, 74, -1, -34],
 [-56, -24, -36, 60, -16],
 [-36, -41, -26, 7, -26],
 [4, -14, -34, -76, 16]]

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


[User]
Calculate the rank of matrix A where A =
[[5, -3, -3, 0, 2],
 [-30, 18, 18, 0, -12],
 [-10, 6, 6, 0, -4],
 [0, 0, 0, 0, 0],
 [-20, 12, 12, 0, -8]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-15, 3, 8, 10, 16],
 [-10, -22, 28, 0, -4],
 [0, -18, 17, -5, -11],
 [-11, -35, 41, -3, -11],
 [6, 42, -44, 8, 20]]

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


[User]
Calculate the rank of matrix A where A =
[[25, 28, -23, -23, -13],
 [-10, 32, -34, -34, 34],
 [-5, 28, -29, -29, 25],
 [-5, -8, 7, 7, 1],
 [5, 32, -31, -31, 15]]

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


[User]
Determine the rank of the following matrix:
[[-10, -4, -6, 6, -2],
 [-6, 24, 24, -24, -30],
 [1, -4, -4, 4, 5],
 [-4, -28, -30, 30, 28],
 [22, 0, 4, -4, 14]]

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


[User]
Find the rank of the matrix:
[[39, 32, 19, -42, 5],
 [23, 34, -9, -53, -13],
 [-2, -21, 23, 11, -25],
 [4, 12, -10, -25, -16],
 [-12, 24, -48, -6, 36]]

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


[User]
What is the rank of the matrix:
[[22, -12, 21, -11, -12],
 [6, 55, -24, 51, 27],
 [0, 45, -29, 56, 15],
 [-10, 7, -5, -6, 16],
 [25, 19, 17, -3, 47]]?

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


[User]
Calculate the rank of matrix A where A =
[[2, -6, 10, -25, -6],
 [-36, -6, 29, 4, 50],
 [50, 18, -22, 54, -5],
 [16, -15, 33, -14, 43],
 [-60, -15, 35, -43, 26]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-9, 23, 42, 12, -28],
 [-13, -17, 21, 25, 10],
 [29, -26, 20, -21, -6],
 [-34, 21, 26, 25, -14],
 [53, 12, 33, -40, -40]]

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


[User]
Determine the rank of the following matrix:
[[26, 0, 6, 27, -18],
 [6, 4, -16, -4, 5],
 [68, 8, -10, 2, -16],
 [-25, -25, 2, 32, 5],
 [-5, 25, 3, 20, -18]]

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


[User]
Determine the rank of the following matrix:
[[15, 9, -10, 9, 15],
 [21, -38, 32, -38, -48],
 [-39, 14, -8, 14, 12],
 [36, -7, 2, -7, -3],
 [-18, 9, -6, 9, 9]]

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


[User]
Find the rank of the matrix:
[[-23, 24, 12, 9, 14],
 [45, -50, -20, -25, -25],
 [6, -2, -8, 8, -7],
 [-12, 4, 16, -16, 14],
 [12, -4, -16, 16, -14]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[30, -30, 10, 20, -10],
 [15, -18, 3, 8, -10],
 [-27, 12, -19, -28, -16],
 [9, -6, 5, 8, 2],
 [-24, 36, 0, -8, 28]]

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


[User]
What is the rank of the matrix:
[[-28, -33, -3, -4, -18],
 [-7, -2, 54, -7, 24],
 [28, 19, -6, 23, -6],
 [50, 40, 7, 48, 15],
 [-31, -36, -10, -9, -24]]?

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


[User]
Find the rank of the matrix:
[[18, 3, -15, 24, 12],
 [30, -25, 25, 30, -20],
 [0, -6, 10, -2, -8],
 [30, -22, 20, 31, -16],
 [-18, 6, 0, -21, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[21, -8, -43, 2, 63],
 [27, 6, 43, -22, -17],
 [15, -16, 31, -42, -11],
 [9, 3, 48, -22, -38],
 [30, 28, 3, 26, 18]]

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


[User]
What is the rank of the matrix:
[[36, -6, 6, 12, -30],
 [18, 7, 13, 8, 7],
 [12, -12, -8, 2, -32],
 [-60, -20, -40, -26, -16],
 [-36, -4, -16, -14, 8]]?

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


[User]
Find the rank of the matrix:
[[-24, -6, 24, 30, 36],
 [20, 5, -20, -25, -30],
 [20, 5, -20, -25, -30],
 [24, 6, -24, -30, -36],
 [4, 1, -4, -5, -6]]

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


[User]
What is the rank of the matrix:
[[-12, -6, -9, -3, 6],
 [0, 0, 0, 0, 0],
 [-24, -12, -18, -6, 12],
 [16, 8, 12, 4, -8],
 [16, 8, 12, 4, -8]]?

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


[User]
What is the rank of the matrix:
[[-5, 30, -10, 5, 20],
 [-2, 12, -4, 2, 8],
 [6, -36, 12, -6, -24],
 [6, -36, 12, -6, -24],
 [-3, 18, -6, 3, 12]]?

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


[User]
Determine the rank of the following matrix:
[[-10, -31, 7, 12, -8],
 [20, 26, -32, 18, 28],
 [8, -10, -23, 31, 18],
 [6, -9, -18, 25, 14],
 [-8, 16, 26, -38, -20]]

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


[User]
What is the rank of the matrix:
[[3, 14, 30, 19, -9],
 [29, -28, -24, -25, -8],
 [23, 5, 36, 32, -39],
 [2, -23, -14, 16, -50],
 [-48, 40, 44, 70, -30]]?

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


[User]
What is the rank of the matrix:
[[-26, 29, -4, 19, -39],
 [64, -29, -22, -10, 56],
 [-1, 5, 32, 10, 8],
 [-62, 29, 48, 10, -42],
 [23, 44, 27, 46, 3]]?

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


[User]
What is the rank of the matrix:
[[-23, 23, -36, -6, -26],
 [-23, 0, -15, -14, -7],
 [-29, -1, -18, -18, -8],
 [9, -10, 15, 2, 11],
 [-15, 9, -18, -6, -12]]?

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


[User]
Determine the rank of the following matrix:
[[13, 7, 18, -31, 8],
 [26, -12, 10, -32, 6],
 [-8, 9, 1, 7, 13],
 [-20, 6, 2, 23, -24],
 [8, -5, 3, -10, -5]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-49, 37, 18, -36, -4],
 [34, -21, -72, 60, -37],
 [-39, 20, 74, -64, 43],
 [-20, 30, -8, -5, -30],
 [40, -40, -8, 25, 20]]

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


[User]
What is the rank of the matrix:
[[-46, 24, -27, -11, 37],
 [41, -24, 35, 2, -47],
 [-27, 16, -35, 22, 23],
 [-4, 22, -33, -36, 3],
 [-1, 23, -41, -29, 8]]?

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


[User]
Find the rank of the matrix:
[[4, 6, 6, -10, 12],
 [-6, -9, -9, 15, -18],
 [8, 12, 12, -20, 24],
 [-12, -18, -18, 30, -36],
 [-2, -3, -3, 5, -6]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-4, 21, 1, -27, 6],
 [5, -18, 7, 20, -2],
 [13, -9, -34, -13, 28],
 [-2, 8, 13, -9, 0],
 [13, -29, -24, 21, 12]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[30, -25, -27, 14, 34],
 [57, -30, -39, 20, 4],
 [33, 2, -15, 44, -20],
 [-5, 13, 10, -1, -31],
 [-29, -7, 10, -40, 32]]

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


[User]
What is the rank of the matrix:
[[6, 4, 12, -7, 0],
 [4, -16, 36, 14, 0],
 [-20, -16, -36, 26, 0],
 [-6, -8, -6, 11, 0],
 [-16, -16, -24, 24, 0]]?

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


[User]
Calculate the rank of matrix A where A =
[[6, -2, 8, 10, -4],
 [6, -2, 8, 10, -4],
 [-9, 3, -12, -15, 6],
 [0, 0, 0, 0, 0],
 [-15, 5, -20, -25, 10]]

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


[User]
Find the rank of the matrix:
[[-16, 4, 0, 24, 16],
 [8, -2, 0, -12, -8],
 [4, -1, 0, -6, -4],
 [4, -1, 0, -6, -4],
 [12, -3, 0, -18, -12]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-2, -6, 4, 6, 10],
 [22, 6, 11, -16, 20],
 [9, 15, -7, -17, -19],
 [30, 18, 6, -30, 6],
 [-17, 9, -21, 1, -45]]

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


[User]
What is the rank of the matrix:
[[20, -20, 0, -24, -4],
 [-10, 10, 0, 12, 2],
 [25, -25, 0, -30, -5],
 [25, -25, 0, -30, -5],
 [-5, 5, 0, 6, 1]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[1, -3, 0, -3, 1],
 [16, -8, 0, 27, 26],
 [17, -3, 0, 39, 29],
 [-5, -9, 0, -30, -11],
 [6, 14, 0, 42, 14]]

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


[User]
Determine the rank of the following matrix:
[[-30, -52, -2, 27, 29],
 [-8, -66, 8, 23, 19],
 [-32, -7, 1, 32, 21],
 [-20, 25, -9, -30, 11],
 [-27, -22, 28, 67, 23]]

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


[User]
What is the rank of the matrix:
[[-3, 9, 3, 18, -18],
 [-1, 3, 1, 6, -6],
 [2, -6, -2, -12, 12],
 [-2, 6, 2, 12, -12],
 [6, -18, -6, -36, 36]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-18, -3, 3, 18, -3],
 [15, 3, -4, -8, 7],
 [-18, -2, 0, 32, 6],
 [-18, -1, -3, 46, 15],
 [12, 3, -5, 2, 11]]

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


[User]
What is the rank of the matrix:
[[4, -6, 5, -6, 4],
 [12, -18, 15, -18, 12],
 [0, 0, 0, 0, 0],
 [0, 0, 0, 0, 0],
 [8, -12, 10, -12, 8]]?

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


[User]
Find the rank of the matrix:
[[6, -36, -42, 30, -36],
 [-8, 40, 32, -16, 39],
 [12, 11, 46, -56, 10],
 [-22, -9, 20, -10, 1],
 [-18, -16, -42, 54, -12]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[20, 21, -24, -19, -12],
 [-30, -29, 26, 21, 18],
 [-5, -6, 9, 7, 3],
 [-10, -10, 10, 8, 6],
 [15, 15, -15, -12, -9]]

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


[User]
Calculate the rank of matrix A where A =
[[-43, 0, -2, -15, -40],
 [-5, 0, 2, 0, -5],
 [-24, 0, 16, 5, -25],
 [25, 0, -10, 0, 25],
 [15, 0, 26, 25, 10]]

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


[User]
Calculate the rank of matrix A where A =
[[30, -12, -12, 12, 0],
 [20, -8, -8, 8, 0],
 [-10, 4, 4, -4, 0],
 [-25, 10, 10, -10, 0],
 [-25, 10, 10, -10, 0]]

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


[User]
Find the rank of the matrix:
[[4, -8, 0, -18, -31],
 [-1, 2, 31, 36, 32],
 [10, 30, 76, 54, -12],
 [4, 0, -14, 39, -18],
 [1, -40, -5, 10, -4]]

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


[User]
Determine the rank of the following matrix:
[[6, 2, 4, -4, -12],
 [-6, -2, -4, 4, 12],
 [-18, -6, -12, 12, 36],
 [-12, -4, -8, 8, 24],
 [-15, -5, -10, 10, 30]]

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


[User]
Calculate the rank of matrix A where A =
[[-1, 49, -1, -48, -20],
 [34, 6, 49, 11, -33],
 [5, -25, 32, 23, -8],
 [-2, 24, 0, -28, 2],
 [2, 5, -20, -1, 11]]

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


[User]
What is the rank of the matrix:
[[0, 33, 18, -15, 15],
 [0, -11, -6, 5, -5],
 [0, 0, 0, 0, 0],
 [0, -66, -36, 30, -30],
 [-36, 3, -18, 15, 3]]?

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


[User]
Determine the rank of the following matrix:
[[-20, -47, 7, -30, -2],
 [23, 41, -13, 12, 5],
 [33, 21, -16, -49, -1],
 [20, 27, -14, -69, -12],
 [4, -34, 5, 55, 22]]

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


[User]
Find the rank of the matrix:
[[-42, 39, -3, -48, 33],
 [18, -14, -3, 15, -10],
 [-10, 1, 19, -4, 7],
 [-6, -2, 21, -5, 10],
 [15, 0, -33, 6, -12]]

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


[User]
Determine the rank of the following matrix:
[[-12, 14, -29, -1, 64],
 [-29, 25, 0, -15, 10],
 [-31, 25, 17, -20, -26],
 [-67, 47, 26, -23, -2],
 [-43, 35, -6, -15, 38]]

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


[User]
What is the rank of the matrix:
[[-10, 12, 18, 34, 52],
 [3, -34, -7, -39, -58],
 [18, 30, 12, -6, 9],
 [-4, 18, -6, 24, 29],
 [2, -4, 38, -2, 18]]?

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


[User]
Determine the rank of the following matrix:
[[-20, -60, -20, 10, -5],
 [-5, -6, -8, -14, 13],
 [11, 18, 16, 22, -21],
 [-15, -42, -16, 2, 1],
 [18, 48, 20, 2, -5]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[6, 3, -15, 9, 12],
 [12, 6, -30, 18, 24],
 [8, 4, -20, 12, 16],
 [6, 3, -15, 9, 12],
 [-8, -4, 20, -12, -16]]

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


[User]
Calculate the rank of matrix A where A =
[[45, 35, 55, 28, 61],
 [-15, 18, -15, 13, -10],
 [-20, -38, -56, -38, -66],
 [-45, -42, -75, -39, -84],
 [10, 12, -49, -9, -51]]

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


[User]
Find the rank of the matrix:
[[37, 11, 35, 35, -26],
 [27, 29, 17, 8, 8],
 [-5, -3, 19, 16, 4],
 [2, -18, 3, 12, -26],
 [-29, 13, -38, -47, 48]]

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


[User]
Calculate the rank of matrix A where A =
[[2, -2, 4, 0, -12],
 [-1, 1, -2, 0, 6],
 [-5, 5, -10, 0, 30],
 [-1, 1, -2, 0, 6],
 [-5, 5, -10, 0, 30]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-3, -9, -3, -6, 6],
 [20, 49, 19, 30, -30],
 [-2, 5, -1, 6, -6],
 [-34, -14, -26, 12, -12],
 [21, -3, 15, -18, 18]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[11, -12, 12, 4, 6],
 [20, 32, 7, -13, 21],
 [28, 43, 7, 26, 20],
 [10, -16, 8, 8, -12],
 [7, -1, 10, -27, 19]]

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


[User]
Calculate the rank of matrix A where A =
[[15, 29, -23, -27, 44],
 [-11, -10, -43, 36, -11],
 [26, 19, 40, -63, 23],
 [2, 8, 45, -21, 9],
 [10, 0, -5, -15, -1]]

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


[User]
Find the rank of the matrix:
[[-25, -26, 35, -34, 8],
 [26, 22, -34, 32, -4],
 [15, 3, -15, 12, 6],
 [22, -4, -18, 12, 16],
 [-3, -9, 7, -8, 6]]

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


[User]
Determine the rank of the following matrix:
[[11, 2, -33, -11, -20],
 [10, 30, -55, 40, 23],
 [2, 2, 37, 18, 35],
 [-46, -12, 28, -4, -14],
 [45, 10, -15, 5, 20]]

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


[User]
Determine the rank of the following matrix:
[[30, -14, -19, -7, 18],
 [-8, 47, 23, 38, -14],
 [14, 11, 30, 6, 32],
 [-16, -46, -11, -48, -1],
 [-4, 14, 30, 14, 18]]

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


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

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


[User]
Find the rank of the matrix:
[[45, 1, -6, -7, -24],
 [-24, 26, -26, 12, -30],
 [45, 1, -6, -7, -24],
 [-18, -2, 4, 4, 12],
 [10, 23, -29, 33, -45]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-39, 29, 22, -36, -3],
 [32, 24, -23, -16, 59],
 [25, 0, 36, -37, -22],
 [-52, -4, -11, 1, -17],
 [7, 16, -49, 15, 63]]

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


[User]
Calculate the rank of matrix A where A =
[[-12, -9, -6, -27, -3],
 [-8, -6, -4, -18, -2],
 [-16, -15, -11, -42, -1],
 [8, -6, -8, -6, 14],
 [-24, -3, 3, -24, -21]]

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


[User]
What is the rank of the matrix:
[[41, -21, -6, 29, 11],
 [11, -20, 5, 8, -31],
 [21, -53, -43, -33, -54],
 [-43, 31, -14, 4, 25],
 [6, 16, 14, 16, 30]]?

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


[User]
Calculate the rank of matrix A where A =
[[20, 48, -32, 64, 20],
 [5, 58, -51, 64, 16],
 [4, -41, 50, -39, -30],
 [-8, -25, 9, -37, -33],
 [-8, 39, -23, 40, -9]]

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


[User]
Calculate the rank of matrix A where A =
[[3, 0, -6, 15, 3],
 [-3, 0, 6, -15, -3],
 [-5, 0, 10, -25, -5],
 [2, 0, -4, 10, 2],
 [-5, 0, 10, -25, -5]]

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


[User]
Find the rank of the matrix:
[[4, -24, 16, 12, -12],
 [4, -24, 16, 12, -12],
 [5, -30, 20, 15, -15],
 [-3, 18, -12, -9, 9],
 [-1, 6, -4, -3, 3]]

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


[User]
Determine the rank of the following matrix:
[[6, 1, -38, 6, -14],
 [10, 28, 0, -26, 10],
 [29, 27, -29, -31, 3],
 [16, 1, -2, -12, 4],
 [-22, -28, 51, 20, 8]]

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


[User]
Find the rank of the matrix:
[[-8, 12, 12, 2, -10],
 [8, -12, -12, -2, 10],
 [-12, 18, -36, 12, 21],
 [8, -12, 24, -8, -14],
 [-20, 30, -60, 20, 35]]

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


[User]
Calculate the rank of matrix A where A =
[[-5, -30, -5, 20, -20],
 [-2, -12, -2, 8, -8],
 [3, 18, 3, -12, 12],
 [3, 18, 3, -12, 12],
 [3, 18, 3, -12, 12]]

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


[User]
Find the rank of the matrix:
[[36, 23, -27, -12, -2],
 [45, 16, -38, 2, 4],
 [-17, -11, 29, 14, -16],
 [-6, -4, 24, 12, -20],
 [-16, -13, -3, 2, 17]]

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


[User]
Calculate the rank of matrix A where A =
[[41, -12, -43, -43, -28],
 [-6, -8, 45, 20, 27],
 [39, -32, 13, 25, 8],
 [-5, 2, -40, -11, -15],
 [9, 2, -3, -63, -4]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-6, 0, 45, -9, -3],
 [-2, -32, -6, -38, -4],
 [2, -20, -19, -1, 45],
 [26, -42, -56, 54, 30],
 [3, 24, -29, 21, -4]]

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


[User]
Determine the rank of the following matrix:
[[60, -44, -13, 9, 1],
 [-28, -42, -55, -17, -13],
 [12, -23, -7, 39, 1],
 [-18, 27, 24, -21, -12],
 [2, 27, 22, -33, -2]]

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


[User]
What is the rank of the matrix:
[[0, 0, 0, 0, 0],
 [-6, 0, 12, 0, 6],
 [6, 0, -12, 0, -6],
 [-15, 0, 30, 0, 15],
 [-18, 0, 36, 0, 18]]?

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


[User]
Calculate the rank of matrix A where A =
[[-12, 2, 4, -4, -26],
 [-26, -14, 16, 17, -5],
 [26, 19, -18, -24, -9],
 [-18, -7, 10, 8, -11],
 [-16, -14, 12, 18, 12]]

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


[User]
Determine the rank of the following matrix:
[[4, 36, 16, 45, 21],
 [-28, -28, 9, 46, -47],
 [-4, 30, 17, 43, 12],
 [-42, -36, -14, 29, -61],
 [-4, 0, -5, 23, -8]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[28, -28, 1, -24, 16],
 [18, -33, -21, 6, 0],
 [-21, -7, -10, -21, 25],
 [27, -13, -7, 6, -12],
 [-33, -24, -52, 28, 0]]

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


[User]
What is the rank of the matrix:
[[33, -28, -6, 23, 12],
 [-1, -22, 12, -7, 2],
 [-7, -9, 9, -9, -1],
 [-3, 21, -9, 3, -3],
 [21, -2, -12, 19, 6]]?

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


[User]
Determine the rank of the following matrix:
[[-10, 4, -2, -6, -4],
 [-25, 10, -5, -15, -10],
 [-15, 6, -3, -9, -6],
 [-20, 8, -4, -12, -8],
 [10, -4, 2, 6, 4]]

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


[User]
Determine the rank of the following matrix:
[[10, -20, -5, 5, -15],
 [-12, 24, 6, -6, 18],
 [-12, 24, 6, -6, 18],
 [-12, 24, 6, -6, 18],
 [2, -4, -1, 1, -3]]

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


[User]
Find the rank of the matrix:
[[10, -4, -10, 2, 12],
 [30, -12, -30, 6, 36],
 [-41, -34, -31, 11, -18],
 [12, -30, -48, 12, 30],
 [-5, -40, -55, 15, 20]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-2, 8, -4, 8, -6],
 [-3, 12, -6, 12, -9],
 [5, -20, 10, -20, 15],
 [-1, 4, -2, 4, -3],
 [-2, 8, -4, 8, -6]]

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


[User]
Calculate the rank of matrix A where A =
[[8, 24, -12, -20, 8],
 [-6, -18, 9, 15, -6],
 [0, 0, 0, 0, 0],
 [-4, -12, 6, 10, -4],
 [-2, -6, 3, 5, -2]]

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


[User]
Determine the rank of the following matrix:
[[15, -5, -25, -20, -20],
 [3, -1, -5, -4, -4],
 [-18, 6, 30, 24, 24],
 [6, -2, -10, -8, -8],
 [-15, 5, 25, 20, 20]]

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


[User]
Find the rank of the matrix:
[[17, 6, 3, -17, -5],
 [-2, -11, -16, -15, 19],
 [4, -16, -4, -4, 22],
 [35, -1, 23, -8, 0],
 [33, 1, 37, 12, -8]]

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


[User]
Find the rank of the matrix:
[[-1, -3, 5, 4, 3],
 [5, 15, -25, -20, -15],
 [1, 3, -5, -4, -3],
 [-1, -3, 5, 4, 3],
 [5, 15, -25, -20, -15]]

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


[User]
Find the rank of the matrix:
[[-29, -29, 22, 2, 5],
 [-30, -30, 24, 0, 6],
 [46, 46, -32, -8, -6],
 [21, 21, -18, 2, -5],
 [54, 54, -36, -12, -6]]

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


[User]
What is the rank of the matrix:
[[16, 20, 12, -24, -12],
 [4, 5, 3, -6, -3],
 [4, 5, 3, -6, -3],
 [-12, -15, -9, 18, 9],
 [4, 5, 3, -6, -3]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-37, -20, 27, 19, -29],
 [20, 34, -54, -8, 0],
 [2, -20, 27, 19, 6],
 [-19, 8, -20, 20, -31],
 [-24, 6, 0, -30, -12]]

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


[User]
Determine the rank of the following matrix:
[[-5, 4, -14, 13, 1],
 [-1, -34, -8, -12, -12],
 [5, 40, 18, 9, 17],
 [-5, 6, -16, 17, 4],
 [5, 2, 0, 10, 16]]

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


[User]
Calculate the rank of matrix A where A =
[[4, 9, 17, -12, 24],
 [-38, 49, 68, 40, 2],
 [36, -51, -14, 2, 22],
 [-20, 38, 22, -4, 4],
 [4, 6, -19, -22, 4]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-22, -45, -16, -1, -32],
 [11, 27, -1, 14, -2],
 [13, 24, 11, 11, 7],
 [-24, -55, -10, 3, -38],
 [1, 26, -37, 21, -32]]

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


[User]
Calculate the rank of matrix A where A =
[[-20, -8, -4, 12, 24],
 [0, 0, 0, 0, 0],
 [-30, -12, -6, 18, 36],
 [-5, -2, -1, 3, 6],
 [-30, -12, -6, 18, 36]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-7, -8, -8, 10, 18],
 [30, 25, 1, 10, 14],
 [-17, -13, -3, 6, -20],
 [1, 10, -20, 2, -34],
 [-24, -17, -15, 18, -26]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-14, 6, -6, -11, 41],
 [-34, 22, 12, -25, 5],
 [34, -20, -7, 19, -52],
 [24, -14, -3, 18, -23],
 [0, 2, 9, 6, -7]]

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


[User]
What is the rank of the matrix:
[[0, 0, 0, 0, 0],
 [16, -16, 4, 8, -12],
 [8, -8, 2, 4, -6],
 [-4, 4, -1, -2, 3],
 [24, -24, 6, 12, -18]]?

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


[User]
Determine the rank of the following matrix:
[[-3, 5, -1, 5, -4],
 [-18, 27, -10, 31, -20],
 [12, -26, -4, -18, 24],
 [-15, -8, -49, 36, 24],
 [3, 1, 9, -7, -4]]

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


[User]
Determine the rank of the following matrix:
[[4, -13, 9, 12, -2],
 [25, 15, -25, -35, -14],
 [-26, -12, 37, 39, 46],
 [18, -1, -17, -16, -30],
 [-40, 5, 20, 25, 32]]

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


[User]
Calculate the rank of matrix A where A =
[[-65, -40, 9, -17, 17],
 [41, -16, 11, 17, 15],
 [46, 14, -2, -2, 8],
 [-10, 64, -45, -22, -26],
 [68, 26, -18, 36, -10]]

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


[User]
What is the rank of the matrix:
[[-36, 36, -12, -30, 36],
 [25, -35, 6, 20, -33],
 [22, -2, 12, 20, -6],
 [55, -5, 30, 50, -15],
 [25, 25, 20, 25, 15]]?

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


[User]
Calculate the rank of matrix A where A =
[[12, -18, 3, -18, -15],
 [8, -12, 2, -12, -10],
 [20, -30, 5, -30, -25],
 [8, -12, 2, -12, -10],
 [-16, 24, -4, 24, 20]]

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


[User]
Find the rank of the matrix:
[[0, -30, 39, -12, 18],
 [8, 15, -19, 9, -24],
 [-44, 2, 5, 28, 10],
 [-54, 2, 10, 48, -10],
 [-20, 8, -4, 28, -20]]

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


[User]
What is the rank of the matrix:
[[-9, -43, -24, -34, 29],
 [-7, -28, -28, 27, 29],
 [1, 2, -26, -31, -15],
 [-2, -26, -53, -12, 10],
 [6, 23, 24, 18, -14]]?

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


[User]
Find the rank of the matrix:
[[-1, -38, 12, -3, -35],
 [-9, 61, -16, -19, 33],
 [27, -31, 4, 61, 30],
 [9, 20, -36, 11, 59],
 [-11, -28, 24, -21, -58]]

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


[User]
Find the rank of the matrix:
[[-11, 3, 10, -8, 12],
 [-32, -16, -14, 16, -20],
 [-47, -25, 4, 16, -8],
 [-42, -46, 6, 36, -20],
 [9, 7, -15, 0, -10]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-4, 12, -6, -2, 5],
 [-4, 14, -20, -18, 6],
 [-2, -44, 37, 29, -10],
 [-28, -12, 14, 18, -11],
 [10, -39, 32, 22, -18]]

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


[User]
Calculate the rank of matrix A where A =
[[16, 2, 10, 14, -4],
 [-6, 15, -5, -3, 6],
 [-50, 32, -34, -39, 24],
 [24, -15, 15, 22, -14],
 [-4, -41, -9, 15, -30]]

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


[User]
Calculate the rank of matrix A where A =
[[-3, 1, 2, 1, -2],
 [15, -5, -10, -5, 10],
 [12, -4, -8, -4, 8],
 [-15, 5, 10, 5, -10],
 [0, 0, 0, 0, 0]]

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


[User]
Determine the rank of the following matrix:
[[-30, -12, -6, -30, 24],
 [15, 6, 3, 15, -12],
 [-25, -10, -5, -25, 20],
 [-15, -6, -3, -15, 12],
 [-30, -12, -6, -30, 24]]

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


[User]
Find the rank of the matrix:
[[-6, 36, -6, 24, -12],
 [3, -18, 3, -12, 6],
 [3, -18, 3, -12, 6],
 [-5, 30, -5, 20, -10],
 [-4, 24, -4, 16, -8]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-8, -1, -12, -9, 21],
 [4, 51, 64, 47, 7],
 [6, -5, -8, -1, 28],
 [10, -38, -38, -24, -5],
 [-26, 27, 20, 3, -28]]

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


[User]
Find the rank of the matrix:
[[35, 2, 0, -34, 0],
 [18, -6, -10, -28, 10],
 [7, 16, -26, -2, 26],
 [33, -21, 15, -48, -15],
 [0, 27, -25, 16, 25]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, 0, 0, 0, 0],
 [12, -3, 6, 18, 12],
 [4, -1, 2, 6, 4],
 [4, -1, 2, 6, 4],
 [16, -4, 8, 24, 16]]

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


[User]
Find the rank of the matrix:
[[25, 15, 10, -30, 25],
 [25, 15, 10, -30, 25],
 [-25, -15, -10, 30, -25],
 [-20, -12, -8, 24, -20],
 [20, 12, 8, -24, 20]]

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


[User]
Find the rank of the matrix:
[[10, -8, -32, 37, -12],
 [25, -30, -20, 20, 5],
 [-35, 46, 4, 1, -21],
 [12, -12, -24, 27, -6],
 [8, -12, 8, -11, 10]]

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


[User]
What is the rank of the matrix:
[[-18, -20, -17, 12, -20],
 [-19, -50, -11, -11, 28],
 [-29, -12, -5, 28, -12],
 [-72, -52, -32, 70, 48],
 [-13, -34, -27, 3, 17]]?

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


[User]
Find the rank of the matrix:
[[16, -21, -17, -5, 43],
 [16, -23, 21, -7, -7],
 [52, -42, 48, 38, -2],
 [-64, 58, -40, -34, -24],
 [-6, 14, -24, 12, 23]]

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


[User]
Calculate the rank of matrix A where A =
[[18, 35, -17, 30, -29],
 [-3, 35, -13, 35, -6],
 [54, 23, -33, 22, -67],
 [-14, -38, 22, -38, 26],
 [-5, -4, 14, -13, 8]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-18, -18, -18, 15, 18],
 [30, 30, 30, -25, -30],
 [-24, -24, -24, 20, 24],
 [12, 12, 12, -10, -12],
 [-18, -18, -18, 15, 18]]

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


[User]
Find the rank of the matrix:
[[-22, 2, -24, 40, 2],
 [9, 5, 4, -12, -3],
 [-14, -6, -8, 20, 4],
 [18, -6, 24, -36, 0],
 [1, -3, 4, -4, 1]]

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


[User]
Calculate the rank of matrix A where A =
[[-8, -6, 12, 8, 10],
 [-4, -3, 6, 4, 5],
 [-20, -15, 30, 20, 25],
 [-16, -12, 24, 16, 20],
 [8, 6, -12, -8, -10]]

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


[User]
Calculate the rank of matrix A where A =
[[-59, -23, -19, 54, 28],
 [-15, -16, 2, -21, 35],
 [0, 0, -1, -18, 7],
 [-18, 17, -3, -9, 13],
 [-23, 26, -14, 33, -17]]

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


[User]
Calculate the rank of matrix A where A =
[[10, -9, 7, 12, 28],
 [-8, -13, 17, -11, -33],
 [28, -36, 40, 0, 22],
 [-40, 49, -57, 10, -17],
 [60, -46, 58, -26, 20]]

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


[User]
What is the rank of the matrix:
[[-28, 3, 25, -25, 41],
 [0, 0, 0, 0, 0],
 [8, 2, -10, 10, -10],
 [6, 9, -15, 15, -3],
 [-18, 3, 15, -15, 27]]?

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


[User]
Determine the rank of the following matrix:
[[11, 14, -10, 13, 10],
 [-28, 8, -16, -8, 4],
 [-22, 12, -18, -3, 7],
 [-26, -4, -4, -14, -4],
 [-14, 4, -8, -4, 2]]

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


[User]
Find the rank of the matrix:
[[1, -36, 22, 26, -52],
 [72, 25, -1, -9, 1],
 [-34, 6, -33, 6, 21],
 [-27, -18, 7, 28, -41],
 [37, -45, -11, 49, -65]]

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


[User]
What is the rank of the matrix:
[[-21, -3, 22, 37, -27],
 [42, -30, -32, -22, 38],
 [-21, 15, 16, 11, -19],
 [-15, 30, 5, -20, -5],
 [24, -30, -14, 6, 16]]?

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


[User]
Calculate the rank of matrix A where A =
[[-14, 0, 16, 20, 6],
 [2, -74, -37, 42, -64],
 [16, 46, 22, -28, 50],
 [-4, 52, 14, -44, 32],
 [22, -44, -32, 12, -34]]

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


[User]
What is the rank of the matrix:
[[-6, -30, 30, -36, 36],
 [-5, -25, 25, -30, 30],
 [-4, -20, 20, -24, 24],
 [5, 25, -25, 30, -30],
 [1, 5, -5, 6, -6]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[4, -12, 4, 8, 8],
 [3, -9, 3, 6, 6],
 [5, -15, 5, 10, 10],
 [-3, 9, -3, -6, -6],
 [6, -18, 6, 12, 12]]

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


[User]
Calculate the rank of matrix A where A =
[[19, -22, 24, 12, 15],
 [-1, 2, -20, 20, -11],
 [18, -20, 44, 16, 32],
 [2, -4, -20, -16, -20],
 [-50, 62, 3, 6, 21]]

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


[User]
Determine the rank of the following matrix:
[[-15, 6, 15, 6, 15],
 [10, -20, -22, 0, 10],
 [-20, 8, 20, 8, 20],
 [-5, 26, 23, -4, -25],
 [15, -2, -12, -7, -20]]

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


[User]
What is the rank of the matrix:
[[-18, -18, 3, -15, -6],
 [-36, -36, 6, -30, -12],
 [-24, -24, 4, -20, -8],
 [30, 30, -5, 25, 10],
 [-36, -36, 6, -30, -12]]?

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


[User]
Calculate the rank of matrix A where A =
[[-26, -20, -4, -30, 44],
 [26, -8, 26, 28, -26],
 [61, -58, 14, 45, -18],
 [-53, 33, 7, -39, 25],
 [-44, 43, -15, -33, 11]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[6, 0, 12, 12, -24],
 [1, 0, 2, 2, -4],
 [0, 0, 0, 0, 0],
 [6, 0, 12, 12, -24],
 [-3, 0, -6, -6, 12]]

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


[User]
Calculate the rank of matrix A where A =
[[0, -8, -7, 11, -14],
 [16, 32, 33, -29, 18],
 [8, -20, -15, 35, -54],
 [14, -13, -7, 31, -56],
 [20, 18, 22, -6, -16]]

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


[User]
What is the rank of the matrix:
[[-6, -36, -12, -30, 24],
 [-6, -36, -12, -30, 24],
 [3, 18, 6, 15, -12],
 [0, 0, 0, 0, 0],
 [4, 24, 8, 20, -16]]?

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


[User]
What is the rank of the matrix:
[[-11, 53, 2, 30, -18],
 [8, -31, 2, -4, 12],
 [-44, 13, -32, 46, -30],
 [-36, -7, -37, -21, -23],
 [-4, 12, -15, 47, -19]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[36, -18, 36, -30, 12],
 [-12, 6, -12, 10, -4],
 [-18, 9, -18, 15, -6],
 [24, -12, 24, -20, 8],
 [36, -18, 36, -30, 12]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[6, 30, 8, -22, -4],
 [6, 36, 9, -24, -6],
 [10, 24, 9, -28, 2],
 [-2, 30, 4, -6, -12],
 [-4, -30, -7, 18, 6]]

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


[User]
Find the rank of the matrix:
[[-30, -42, -12, 30, 6],
 [10, 26, 14, -16, -6],
 [25, 41, 15, -28, -7],
 [20, -20, -32, 4, 12],
 [0, -12, -10, 6, 4]]

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


[User]
Determine the rank of the following matrix:
[[30, 2, 27, -6, -28],
 [-12, 12, -6, 12, 8],
 [18, 14, 21, 6, -20],
 [-12, -4, -12, 0, 12],
 [0, -24, -9, -18, 6]]

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


[User]
Calculate the rank of matrix A where A =
[[43, 10, -36, 19, -29],
 [30, -51, -21, -42, 48],
 [15, -12, -2, 6, -36],
 [9, -26, -9, -30, 48],
 [-25, 19, 25, 14, -22]]

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


[User]
Calculate the rank of matrix A where A =
[[-2, -6, -12, 8, 12],
 [5, 15, 30, -20, -30],
 [-13, -29, -23, -18, 8],
 [-6, -14, -14, -4, 8],
 [-3, -1, 26, -44, -38]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-14, -33, -1, -11, 15],
 [12, -65, -31, -6, 19],
 [-46, 31, 14, -1, 4],
 [24, -5, -13, -6, 10],
 [-6, -17, 18, -21, 16]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, 0, 0, 0, 0],
 [-6, 12, 10, 2, 12],
 [6, -12, -10, -2, -12],
 [-9, 18, 15, 3, 18],
 [-6, 12, 10, 2, 12]]

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


[User]
Determine the rank of the following matrix:
[[-4, -6, -8, 10, 4],
 [14, -6, -25, 9, 10],
 [-33, -46, -21, 15, -49],
 [2, 6, -3, 11, 22],
 [0, 18, 16, 2, 24]]

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


[User]
Calculate the rank of matrix A where A =
[[22, 31, 3, 2, -9],
 [20, 46, 22, -23, 45],
 [-22, -32, -6, 8, -6],
 [-26, -43, -9, 4, -6],
 [-4, 33, 29, 11, 23]]

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


[User]
Find the rank of the matrix:
[[-14, -31, 10, -38, -27],
 [-11, -16, 13, -26, -9],
 [17, 33, -15, 44, 26],
 [16, 15, -24, 34, 1],
 [13, 0, -27, 22, -17]]

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


[User]
Determine the rank of the following matrix:
[[-23, 40, -12, -7, 12],
 [46, -38, -39, -7, -32],
 [17, 9, -8, -1, -29],
 [48, -12, -33, -18, -42],
 [10, 2, 40, -27, 10]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-16, -26, 2, 18, 34],
 [-30, 19, 41, -23, 23],
 [15, 10, -2, 1, -23],
 [-14, -4, -4, -12, 18],
 [-27, -4, 12, -13, 33]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-36, -6, -18, -6, -24],
 [18, 3, 9, 3, 12],
 [18, 3, 9, 3, 12],
 [-12, -2, -6, -2, -8],
 [-24, -4, -12, -4, -16]]

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


[User]
Determine the rank of the following matrix:
[[-48, 28, 48, 2, -38],
 [-36, 18, 36, -15, -27],
 [21, -11, -21, 6, 16],
 [-15, 9, 15, 2, -12],
 [-6, 10, 6, 36, -8]]

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


[User]
Find the rank of the matrix:
[[-6, -30, -12, 36, 24],
 [-3, -15, -6, 18, 12],
 [-2, -10, -4, 12, 8],
 [-3, -15, -6, 18, 12],
 [-1, -5, -2, 6, 4]]

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


[User]
Determine the rank of the following matrix:
[[-15, 45, -15, 0, 25],
 [15, 5, 45, -20, -35],
 [-3, 34, 12, -10, 0],
 [9, -17, 15, -4, -17],
 [-15, 25, -27, 8, 29]]

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


[User]
What is the rank of the matrix:
[[8, 13, 22, -19, -23],
 [-8, -23, -34, 25, 33],
 [16, -9, 2, -17, -11],
 [-20, 5, -10, 25, 20],
 [16, 16, 32, -32, -36]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[4, 24, 24, 20, 4],
 [-1, -6, -6, -5, -1],
 [-6, -36, -36, -30, -6],
 [-5, -30, -30, -25, -5],
 [2, 12, 12, 10, 2]]

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


[User]
Determine the rank of the following matrix:
[[-42, 19, 15, -3, -19],
 [-46, 22, 10, 1, -22],
 [-8, 11, -37, 26, -11],
 [-18, 6, 18, -9, -6],
 [36, -22, 18, -18, 22]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-7, -22, -43, 16, 4],
 [-12, 14, -14, -12, -5],
 [11, -46, -45, 11, -7],
 [8, 28, 25, 17, -27],
 [1, -52, -25, -3, 38]]

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


[User]
Calculate the rank of matrix A where A =
[[0, -13, -26, -16, 25],
 [-34, 24, -20, 6, 14],
 [29, -35, -12, -23, 16],
 [-42, 48, 12, 30, -18],
 [-6, 5, -2, 2, 1]]

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


[User]
What is the rank of the matrix:
[[23, 7, -16, 20, -21],
 [14, 1, 35, -18, -11],
 [31, 14, -3, 16, -21],
 [-7, -29, 0, -10, -24],
 [26, -14, 32, -16, -42]]?

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


[User]
Find the rank of the matrix:
[[-24, 62, 42, -15, -33],
 [6, -50, -42, 42, 6],
 [-2, 32, 28, -31, -1],
 [18, 12, 20, -47, 11],
 [-2, 0, 5, -17, 54]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[6, -10, -4, -12, -12],
 [9, -15, -6, -18, -18],
 [-3, 5, 2, 6, 6],
 [-6, 10, 4, 12, 12],
 [15, -25, -10, -30, -30]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-1, 1, 3, 1, -2],
 [2, -2, -6, -2, 4],
 [0, 0, 0, 0, 0],
 [-2, 2, 6, 2, -4],
 [1, -1, -3, -1, 2]]

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


[User]
Determine the rank of the following matrix:
[[-45, 1, -29, -26, -34],
 [-15, -12, -1, -4, 1],
 [10, -60, -14, 56, -22],
 [-20, -17, -6, 6, -19],
 [-15, 72, 1, -72, 19]]

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


[User]
Find the rank of the matrix:
[[30, -20, -15, 0, -17],
 [-7, 32, 37, -9, 2],
 [-23, 39, 45, 11, 7],
 [-4, -10, -4, 44, -6],
 [29, -41, -43, -1, -13]]

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


[User]
Calculate the rank of matrix A where A =
[[-23, -12, -5, 22, 35],
 [9, 5, 40, -55, 7],
 [11, -11, 28, -62, 6],
 [-17, 22, -3, 51, 4],
 [11, -16, -21, -1, 14]]

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


[User]
What is the rank of the matrix:
[[-9, -9, 0, 3, 0],
 [-1, -21, 8, -21, -8],
 [9, -36, 18, -51, -18],
 [-8, 42, -20, 56, 20],
 [-15, -15, 0, 5, 0]]?

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


[User]
Find the rank of the matrix:
[[-28, -18, -34, -16, 34],
 [-1, -6, -10, -33, 19],
 [-20, -20, -29, -22, 47],
 [10, -18, 7, -14, 47],
 [45, 1, 32, -43, 31]]

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


[User]
Calculate the rank of matrix A where A =
[[3, -6, -30, 6, 18],
 [19, 35, 36, -26, 16],
 [-74, -8, 7, -7, -16],
 [18, 6, 9, -19, -2],
 [5, 40, -2, -9, 59]]

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


[User]
Determine the rank of the following matrix:
[[-20, 28, -12, 20, -4],
 [-2, -4, -6, -10, 0],
 [31, -40, 21, -25, 6],
 [-18, 15, -18, 0, -3],
 [11, 5, 21, 25, 1]]

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


[User]
Determine the rank of the following matrix:
[[41, 29, 37, -45, 8],
 [-13, 0, -11, 11, 4],
 [25, -2, -13, -3, 4],
 [5, 27, 34, -28, 7],
 [1, 2, 35, -19, -12]]

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


[User]
Find the rank of the matrix:
[[20, -10, 5, -10, -20],
 [-14, 13, -11, 11, 24],
 [-6, 21, -24, 15, 36],
 [-38, 1, 13, 7, 8],
 [52, 10, -32, -2, 8]]

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


[User]
Calculate the rank of matrix A where A =
[[56, 37, -20, -43, -19],
 [-16, -6, 20, 12, 15],
 [-12, 6, -34, -5, -26],
 [-36, -6, 6, 27, -13],
 [-34, -13, -23, 6, -1]]

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


[User]
Calculate the rank of matrix A where A =
[[-34, 1, 3, -26, 24],
 [-11, 4, 12, 21, -29],
 [-26, 4, 12, 6, -14],
 [-6, -1, -3, -14, 16],
 [30, -5, -15, -10, 20]]

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


[User]
What is the rank of the matrix:
[[-45, 9, 34, -12, 24],
 [-38, 16, 23, -18, 26],
 [-16, 24, -40, 0, 36],
 [-12, -16, 44, 0, -14],
 [36, 18, 10, -48, -21]]?

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


[User]
Determine the rank of the following matrix:
[[29, 39, 11, 2, -61],
 [21, 11, 39, -5, 15],
 [-40, -46, 13, 25, 30],
 [36, 58, 5, 0, -50],
 [-30, -44, 8, 13, 16]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[27, 7, -10, 29, 10],
 [-35, 11, 23, -33, -37],
 [14, 12, -1, 13, -15],
 [59, -3, -31, 55, 33],
 [74, -8, -41, 69, 49]]

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


[User]
Find the rank of the matrix:
[[0, -15, 9, -6, -18],
 [0, -25, 15, -10, -30],
 [0, -25, 15, -10, -30],
 [0, 0, 0, 0, 0],
 [0, -10, 6, -4, -12]]

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


[User]
Find the rank of the matrix:
[[-24, -46, 64, 15, -21],
 [-46, 2, 25, -62, 73],
 [14, -27, 26, 54, -68],
 [-36, -7, 24, -37, 27],
 [-40, -40, 65, -11, 4]]

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


[User]
What is the rank of the matrix:
[[-5, 3, 38, 9, 22],
 [-5, 5, 33, 12, 18],
 [15, 7, -2, 13, 6],
 [10, -6, 19, -8, 21],
 [-35, -15, -5, -29, -21]]?

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


[User]
Calculate the rank of matrix A where A =
[[56, -36, 10, 28, 6],
 [43, -27, -1, 26, 21],
 [-38, 24, -1, -22, -15],
 [4, -2, -7, 6, 15],
 [-30, 20, -15, -10, 15]]

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


[User]
Calculate the rank of matrix A where A =
[[-35, 53, -35, -20, 48],
 [-9, 31, 0, 20, 30],
 [6, -4, 5, 6, -4],
 [6, 2, 0, 4, 0],
 [-34, 31, -40, -43, 27]]

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


[User]
What is the rank of the matrix:
[[-22, 32, 21, 12, -19],
 [10, -10, 24, 11, -12],
 [14, -10, 23, 11, -9],
 [2, 26, 53, 29, -27],
 [-12, -4, -34, -18, 14]]?

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


[User]
Calculate the rank of matrix A where A =
[[-2, -82, 28, 20, 32],
 [28, -23, 26, 16, -13],
 [-37, -23, -28, 16, 61],
 [12, 12, 24, -15, -30],
 [-29, -1, -8, -18, 15]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-16, -16, -24, 12, -8],
 [-4, -4, -6, 3, -2],
 [8, 8, 12, -6, 4],
 [-12, -12, -18, 9, -6],
 [8, 8, 12, -6, 4]]

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


[User]
Find the rank of the matrix:
[[-13, 26, -32, 22, -28],
 [3, 2, -32, 38, -44],
 [9, -14, 38, -47, 50],
 [-29, 10, 26, -1, 22],
 [-9, -16, 16, 26, -8]]

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


[User]
Calculate the rank of matrix A where A =
[[20, -24, -35, -12, 19],
 [-12, -20, -22, 33, -20],
 [-12, 4, 8, 15, -14],
 [0, 0, 0, 0, 0],
 [-24, 12, 21, 27, -27]]

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


[User]
Find the rank of the matrix:
[[-12, -8, -24, 12, 24],
 [3, 2, 6, -3, -6],
 [15, 10, 30, -15, -30],
 [-12, -8, -24, 12, 24],
 [0, 0, 0, 0, 0]]

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


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

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


[User]
Find the rank of the matrix:
[[-18, 6, -15, 6, -9],
 [-18, 6, -15, 6, -9],
 [-24, 8, -20, 8, -12],
 [-24, 8, -20, 8, -12],
 [6, -2, 5, -2, 3]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-15, 0, 39, 20, 25],
 [17, -41, 36, -17, -30],
 [4, -25, -6, 13, -56],
 [-18, -2, 42, 10, 26],
 [12, 22, -42, 35, -5]]

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


[User]
Find the rank of the matrix:
[[-18, -3, -12, -18, 0],
 [6, 1, 4, 6, 0],
 [18, 3, 12, 18, 0],
 [30, 5, 20, 30, 0],
 [-30, -5, -20, -30, 0]]

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


[User]
Determine the rank of the following matrix:
[[88, 25, -9, 5, -15],
 [9, -9, 19, -3, -21],
 [0, -1, -7, 15, 23],
 [41, 25, -25, 2, -4],
 [-80, 3, -23, -19, 41]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, 0, 0, 0, 0],
 [4, -12, 12, 2, 4],
 [-6, 18, -18, -3, -6],
 [-4, 12, -12, -2, -4],
 [6, -18, 18, 3, 6]]

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


[User]
What is the rank of the matrix:
[[-32, 26, 29, 21, -5],
 [-40, 34, 25, 33, -25],
 [8, -3, 31, 6, 13],
 [-29, 27, 22, 33, -29],
 [52, -31, -24, 9, -40]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[8, 0, 16, -24, -24],
 [2, 0, 4, -6, -6],
 [-4, 0, -8, 12, 12],
 [10, 0, 20, -30, -30],
 [12, 0, 24, -36, -36]]

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


[User]
Determine the rank of the following matrix:
[[-22, 10, 6, 9, -23],
 [3, 6, -4, -32, 18],
 [-16, 18, 44, 10, -36],
 [-12, -27, -66, 9, 15],
 [54, -33, -32, -28, 66]]

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


[User]
Find the rank of the matrix:
[[20, -20, -16, -24, -12],
 [20, -20, -16, -24, -12],
 [-20, 20, 16, 24, 12],
 [10, -10, -8, -12, -6],
 [-25, 25, 20, 30, 15]]

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


[User]
What is the rank of the matrix:
[[-30, 12, 8, -36, -26],
 [41, 6, -12, 46, 35],
 [-28, 0, 8, -32, -24],
 [-9, -30, 4, -6, -7],
 [-12, -12, 4, -12, -10]]?

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


[User]
Find the rank of the matrix:
[[6, 60, -18, -69, 6],
 [21, 49, 50, -23, 0],
 [-5, 17, -49, -46, 12],
 [2, 0, -38, -23, 1],
 [-22, -40, -63, 7, 2]]

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


[User]
What is the rank of the matrix:
[[35, -28, 38, 13, -18],
 [-5, -26, 32, -21, -54],
 [-10, -21, 27, -34, -65],
 [19, -29, -1, -30, 0],
 [-13, -5, 45, 64, -6]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-1, -2, 5, 38, -13],
 [-24, 50, -12, -20, -12],
 [-14, 27, 0, 37, -22],
 [11, -23, 39, -31, 45],
 [-14, 45, -56, 3, -44]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-21, 19, 22, -35, -48],
 [13, -19, -20, -2, 17],
 [7, 39, 24, 31, -16],
 [53, -3, -26, -5, -20],
 [21, -43, -22, -25, -18]]

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


[User]
What is the rank of the matrix:
[[-10, -27, 24, 21, 13],
 [3, -38, 28, 13, 17],
 [-26, -56, 58, 54, 36],
 [6, -29, -8, -17, -25],
 [19, 11, -16, -24, -8]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-3, 4, 6, -5, -6],
 [9, -12, -18, 15, 18],
 [9, -12, -18, 15, 18],
 [-18, 24, 36, -30, -36],
 [12, -16, -24, 20, 24]]

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


[User]
Determine the rank of the following matrix:
[[8, 21, -30, 9, 23],
 [-32, 19, -28, -5, -21],
 [3, -40, 42, -16, -28],
 [-19, 1, 3, -11, -21],
 [-25, 10, 18, 28, -3]]

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


[User]
Determine the rank of the following matrix:
[[-6, -74, -4, 42, 6],
 [-17, -13, -6, 0, -8],
 [-2, -28, -12, 27, 7],
 [20, -28, 8, 24, 14],
 [-42, 2, -28, -6, -18]]

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


[User]
Find the rank of the matrix:
[[2, 44, -28, -2, 18],
 [-10, 20, -7, 4, 9],
 [-66, 12, 24, 47, 22],
 [4, 16, -11, -7, 3],
 [26, 44, -40, -16, 14]]

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


[User]
Determine the rank of the following matrix:
[[57, -36, -9, 49, 23],
 [38, -26, -5, 40, 20],
 [-46, 20, 20, -23, -2],
 [1, -8, 1, 33, 19],
 [22, -4, -16, -2, -10]]

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


[User]
Calculate the rank of matrix A where A =
[[3, -1, 10, 2, 1],
 [-6, -3, 0, -4, 28],
 [6, 2, 4, 4, -22],
 [18, -4, 52, 12, -6],
 [-15, -6, -6, -10, 61]]

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


[User]
Find the rank of the matrix:
[[5, 15, 10, 3, -6],
 [-53, 12, 6, 33, 43],
 [-17, -25, -42, -24, 2],
 [22, -12, -12, -21, -20],
 [-12, 29, 16, 15, 5]]

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


[User]
What is the rank of the matrix:
[[-34, 11, -6, -26, 35],
 [42, -45, -48, 48, 45],
 [4, -10, -16, 8, 26],
 [12, -18, -12, 12, -18],
 [74, -37, -22, 68, 11]]?

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


[User]
What is the rank of the matrix:
[[27, 6, -21, -33, 0],
 [-20, 5, 5, 25, 10],
 [-23, -7, 20, 28, -2],
 [10, 6, -12, -12, 4],
 [-8, 2, 2, 10, 4]]?

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


[User]
What is the rank of the matrix:
[[37, 28, 5, 8, 16],
 [-12, 27, -39, -66, -24],
 [-15, 19, 5, -17, -25],
 [33, 28, 15, 6, 20],
 [51, -9, 12, 30, 66]]?

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


[User]
Determine the rank of the following matrix:
[[-24, 8, 22, 40, -12],
 [-24, -12, -3, 15, 18],
 [-6, 8, 25, 43, -12],
 [10, -8, -19, -31, 12],
 [10, -20, -34, -46, 30]]

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


[User]
What is the rank of the matrix:
[[-25, 46, -13, -13, -7],
 [30, 3, -2, -29, -33],
 [12, -18, 18, 13, 3],
 [13, 29, 1, -26, -32],
 [13, 38, -15, -43, -41]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-4, 12, -16, -12, -14],
 [-38, -43, 0, -14, -46],
 [26, -6, 73, 12, 59],
 [-18, 5, -20, -20, -11],
 [-1, -6, 47, -18, 16]]

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


[User]
Calculate the rank of matrix A where A =
[[4, -20, -24, 16, -4],
 [0, 0, 0, 0, 0],
 [-21, 25, 16, 6, 1],
 [-19, 31, 26, -4, 3],
 [17, -5, 8, -22, 3]]

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


[User]
Determine the rank of the following matrix:
[[-34, 8, -18, 16, 26],
 [-24, 10, -22, 8, 18],
 [-5, 19, -36, -13, -8],
 [21, 3, 2, -19, -34],
 [48, -3, 3, -27, -27]]

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


[User]
Find the rank of the matrix:
[[-39, -16, 9, -17, 18],
 [-19, 4, -8, 23, -14],
 [-5, -6, 2, -21, 20],
 [-16, 1, 15, -21, 22],
 [2, -4, 20, -30, 22]]

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, 0, 0],
 [-6, -6, -3, 0, 9],
 [12, 12, 6, 0, -18],
 [4, 4, 2, 0, -6]]?

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


[User]
Find the rank of the matrix:
[[2, 6, -16, 4, 3],
 [-2, 0, 1, 3, -1],
 [30, -4, -12, 18, 9],
 [38, -11, -1, 22, 9],
 [54, -9, -18, 39, 15]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-6, 0, 5, -2, 9],
 [2, -4, 1, -10, -15],
 [24, 15, -30, 48, 9],
 [12, 6, -14, 20, 0],
 [8, 5, -10, 16, 3]]

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


[User]
What is the rank of the matrix:
[[0, 8, 24, -24, 0],
 [0, -6, -18, 18, 0],
 [0, 8, 24, -24, 0],
 [0, -8, -24, 24, 0],
 [0, -8, -24, 24, 0]]?

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


[User]
Find the rank of the matrix:
[[10, -4, -12, 4, 10],
 [-20, 8, 24, -8, -20],
 [10, -4, -12, 4, 10],
 [-15, 6, 18, -6, -15],
 [15, -6, -18, 6, 15]]

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


[User]
Determine the rank of the following matrix:
[[-16, 24, 78, 20, -14],
 [32, 21, 55, -3, -33],
 [-2, 11, 34, 7, -8],
 [-18, -2, -2, 2, -1],
 [-14, 2, 42, 22, -3]]

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


[User]
Determine the rank of the following matrix:
[[0, -20, -2, -16, -4],
 [7, -1, 9, -5, -3],
 [-28, -26, -39, -4, 6],
 [18, 6, 24, -6, -6],
 [17, 19, 24, 5, -3]]

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


[User]
Determine the rank of the following matrix:
[[2, -24, -3, -19, 22],
 [2, -24, -3, -19, 22],
 [-14, 16, 9, 17, -18],
 [-37, 7, 21, 18, -16],
 [45, 11, -24, -7, 2]]

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


[User]
Calculate the rank of matrix A where A =
[[1, 44, -51, -3, 50],
 [-6, -27, -21, -45, 12],
 [17, 53, 2, 42, -6],
 [31, 16, 11, -8, -49],
 [-19, 1, -6, 18, 34]]

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


[User]
Determine the rank of the following matrix:
[[18, -9, -9, 3, 15],
 [18, 1, -27, 21, 9],
 [24, -2, -30, 22, 14],
 [-24, 2, 30, -22, -14],
 [12, -11, 3, -7, 13]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[10, -23, -8, 18, 24],
 [36, 17, -28, -4, 14],
 [-14, -20, 16, 34, 22],
 [-2, -48, 1, 12, -20],
 [38, -28, -25, 40, 40]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[13, -41, -18, 6, -6],
 [-2, 42, 18, 28, 2],
 [-9, 13, -18, 38, -2],
 [8, 16, 21, 4, 1],
 [4, 54, 39, 19, 4]]

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


[User]
Determine the rank of the following matrix:
[[-2, -7, 6, 0, -6],
 [-19, -33, 26, -3, -31],
 [-45, 8, 32, -15, -19],
 [14, 20, 24, 40, 27],
 [19, 34, -28, 5, 33]]

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


[User]
What is the rank of the matrix:
[[-9, 27, 18, 15, 18],
 [-21, 9, 15, -25, -21],
 [-8, 12, 10, 0, 2],
 [-21, 9, 15, -25, -21],
 [-31, 33, 32, -15, -8]]?

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


[User]
Calculate the rank of matrix A where A =
[[-7, -6, 1, 11, -8],
 [1, 2, -7, -1, 4],
 [-5, -6, 11, 7, -10],
 [3, 6, -21, -3, 12],
 [20, 10, 40, -35, 5]]

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


[User]
Calculate the rank of matrix A where A =
[[-14, -19, 36, 0, -14],
 [-20, -22, 26, -10, -2],
 [26, -24, 12, 34, 18],
 [-24, -7, 40, -10, -32],
 [-10, -33, 38, 6, 0]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[21, 45, -27, 24, 3],
 [-9, -9, 3, -12, 5],
 [4, -12, 12, 8, -12],
 [3, 27, -21, 0, 13],
 [4, -12, 12, 8, -12]]

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


[User]
Calculate the rank of matrix A where A =
[[1, 2, -4, -6, 5],
 [-4, -8, 16, 24, -20],
 [-2, -4, 8, 12, -10],
 [6, 12, -24, -36, 30],
 [-6, -12, 24, 36, -30]]

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


[User]
Find the rank of the matrix:
[[-24, 32, 0, -8, -2],
 [30, -22, 0, 10, -11],
 [-6, -6, 0, -2, 10],
 [12, -8, 0, 4, -5],
 [24, 4, 0, 8, -25]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-14, -5, -27, -18, -30],
 [30, -5, -15, -10, -30],
 [33, 0, 9, 6, 0],
 [24, 7, 39, 26, 42],
 [-26, -3, -21, -14, -18]]

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


[User]
Determine the rank of the following matrix:
[[-28, -1, 1, 39, 16],
 [-30, -4, 16, -15, 4],
 [-16, 5, 13, -6, 32],
 [-1, 83, 13, -46, 14],
 [-9, -41, -1, 14, -10]]

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


[User]
What is the rank of the matrix:
[[14, -17, -31, 13, -44],
 [-4, 18, 0, 11, 10],
 [2, -6, 12, -34, -56],
 [-23, 16, -6, -17, -8],
 [28, 6, -20, 43, -30]]?

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


[User]
Determine the rank of the following matrix:
[[-36, -19, -40, 8, 26],
 [-25, -19, -13, 14, -2],
 [37, 29, 17, -22, 6],
 [-11, 0, -27, -6, 28],
 [3, 8, -13, -10, 20]]

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


[User]
Find the rank of the matrix:
[[39, -20, -3, -8, -28],
 [17, 22, 29, -26, 40],
 [-8, -1, -43, 19, 8],
 [-36, 7, -35, 29, 4],
 [12, -34, 6, 2, -56]]

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


[User]
Determine the rank of the following matrix:
[[23, -39, 30, 34, 3],
 [-21, -2, -52, 15, 0],
 [52, -31, 102, 7, 1],
 [40, 22, 32, 35, 38],
 [3, 35, 26, -26, 13]]

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


[User]
Find the rank of the matrix:
[[36, 2, 36, 16, 43],
 [4, 1, -6, 6, -16],
 [0, -31, 24, -38, 22],
 [-4, -30, 24, -40, 27],
 [40, -13, 32, 6, 16]]

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


[User]
Find the rank of the matrix:
[[24, -30, 6, -12, -6],
 [-24, 30, -6, 12, 6],
 [-12, 15, -3, 6, 3],
 [-8, 10, -2, 4, 2],
 [24, -30, 6, -12, -6]]

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


[User]
Calculate the rank of matrix A where A =
[[-17, 15, 0, -9, 11],
 [36, -30, -6, 18, -36],
 [-32, 30, -6, -18, 8],
 [25, -20, -7, 12, -31],
 [-12, 10, 2, -6, 12]]

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


[User]
Calculate the rank of matrix A where A =
[[-20, 16, 2, -2, -35],
 [-15, -6, 18, -3, -15],
 [-9, 13, 44, 6, -22],
 [9, 18, -24, 3, 0],
 [1, 16, 26, 7, -11]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-39, -10, 22, -47, 42],
 [55, 1, -13, 56, -44],
 [-54, 19, -25, -22, 0],
 [30, -23, 39, -11, 30],
 [-21, -33, -3, 42, -48]]

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


[User]
Calculate the rank of matrix A where A =
[[-24, -24, 0, 27, 3],
 [1, 41, 42, -16, 6],
 [-30, 2, 18, 16, -5],
 [27, -13, 2, 1, 29],
 [21, 13, 28, -7, 28]]

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


[User]
Calculate the rank of matrix A where A =
[[-47, -33, -34, -55, 60],
 [19, 4, 0, 18, -21],
 [22, 34, 18, 42, -48],
 [-20, -15, -25, -21, 21],
 [12, 18, 24, 18, -18]]

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


[User]
Find the rank of the matrix:
[[-15, 6, 15, -3, -18],
 [-5, 2, 5, -1, -6],
 [0, 0, 0, 0, 0],
 [30, -12, -30, 6, 36],
 [5, -2, -5, 1, 6]]

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


[User]
Calculate the rank of matrix A where A =
[[5, -3, 4, -7, 3],
 [-9, 15, 3, 18, 6],
 [-27, 13, -25, 36, -20],
 [12, -4, 13, -15, 11],
 [-9, -17, -31, 0, -32]]

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


[User]
Determine the rank of the following matrix:
[[-60, 19, 10, 31, -17],
 [-7, -20, -6, 33, -7],
 [-17, 9, 4, 4, -4],
 [-19, 21, 8, -10, -2],
 [-21, 2, 2, 17, -7]]

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


[User]
What is the rank of the matrix:
[[-28, -27, 2, -27, -31],
 [-52, -19, -30, -3, -7],
 [3, -6, 14, -3, -18],
 [10, 35, -30, 45, 55],
 [-57, -20, -38, -9, 0]]?

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


[User]
Determine the rank of the following matrix:
[[-8, 12, 12, 24, -12],
 [6, -9, -9, -18, 9],
 [8, -12, -12, -24, 12],
 [8, -12, -12, -24, 12],
 [2, -3, -3, -6, 3]]

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


[User]
What is the rank of the matrix:
[[-6, -12, 6, 10, 2],
 [18, 36, -18, -30, -6],
 [6, 12, -6, -10, -2],
 [12, 24, -12, -20, -4],
 [3, 6, -3, -5, -1]]?

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


[User]
Find the rank of the matrix:
[[21, -9, 15, -30, -18],
 [-17, -30, 29, -4, -24],
 [8, -20, 24, -24, -24],
 [-16, 11, -16, 26, 18],
 [7, -32, 37, -32, -36]]

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


[User]
Calculate the rank of matrix A where A =
[[-50, -14, 7, 43, 2],
 [-15, 5, 11, -26, -7],
 [43, -5, -28, -35, -11],
 [-10, -6, -1, 31, 6],
 [9, -3, -9, -15, -6]]

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


[User]
What is the rank of the matrix:
[[-3, 10, -15, 16, 6],
 [12, -5, 20, -9, -9],
 [29, 2, 46, 7, -10],
 [42, 41, -10, 8, -16],
 [-56, -16, -42, 8, 30]]?

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


[User]
Determine the rank of the following matrix:
[[36, 36, -6, 36, -12],
 [-3, 6, -7, 3, 10],
 [6, 12, -6, 10, 4],
 [18, 18, -3, 18, -6],
 [0, -12, 10, -8, -12]]

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


[User]
Calculate the rank of matrix A where A =
[[-2, -6, -4, -12, 2],
 [-5, -15, -10, -30, 5],
 [-6, -18, -12, -36, 6],
 [-2, -6, -4, -12, 2],
 [-5, -15, -10, -30, 5]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-3, 3, 5, 6, 3],
 [-6, 6, 10, 12, 6],
 [12, -12, -20, -24, -12],
 [-18, 18, 30, 36, 18],
 [0, 0, 0, 0, 0]]

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


[User]
What is the rank of the matrix:
[[42, 54, -6, -36, 66],
 [-24, -28, 12, 24, -34],
 [8, 16, 16, 0, 20],
 [-19, -23, 7, 18, -28],
 [20, 20, -20, -24, 24]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[40, -30, 40, 45, 30],
 [-20, 20, -30, 5, -10],
 [34, -1, 13, 19, 1],
 [44, 6, 6, 44, 2],
 [20, 4, -2, 39, 6]]

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


[User]
Find the rank of the matrix:
[[15, 10, 10, 15, 10],
 [12, 8, 8, 12, 8],
 [6, 4, 4, 6, 4],
 [9, 6, 6, 9, 6],
 [9, 6, 6, 9, 6]]

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


[User]
What is the rank of the matrix:
[[0, -12, -10, -8, -8],
 [0, -12, -10, -8, -8],
 [0, -36, -30, -24, -24],
 [0, 6, 5, 4, 4],
 [0, 30, 25, 20, 20]]?

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


[User]
Determine the rank of the following matrix:
[[-14, -4, -42, -2, -16],
 [-4, -14, -7, 21, 3],
 [54, -26, 18, 10, 38],
 [-42, 6, -24, 12, -26],
 [-10, 40, 19, 19, -21]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-7, -3, 19, -24, 9],
 [-9, 3, 27, -36, 9],
 [-1, 3, 4, -6, 0],
 [1, -3, -4, 6, 0],
 [12, -12, -39, 54, -9]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[11, -17, -8, 15, 5],
 [-12, -10, 10, -22, -8],
 [-35, 6, 27, -59, -20],
 [-16, -3, 35, -16, -27],
 [-32, -17, 37, -52, -29]]

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


[User]
Determine the rank of the following matrix:
[[26, 9, 8, -13, 16],
 [1, -24, 10, 21, 6],
 [26, 15, -21, -3, 18],
 [9, -30, -39, 70, 17],
 [35, 42, -33, -21, 18]]

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


[User]
Calculate the rank of matrix A where A =
[[4, 16, -4, -22, 18],
 [-6, 16, 22, -7, 5],
 [-2, -18, -2, 21, -17],
 [8, -3, -22, -9, 8],
 [-2, -28, -6, 31, -25]]

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


[User]
Find the rank of the matrix:
[[-2, -35, 19, 13, 2],
 [27, -11, 8, 23, 1],
 [2, -12, -34, 4, -38],
 [-22, 19, 21, -21, 30],
 [-33, -17, 0, -16, -6]]

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


[User]
Find the rank of the matrix:
[[-5, -19, -3, 16, 6],
 [-9, 9, 1, -16, -2],
 [2, -41, -6, 44, 12],
 [-2, -13, -2, 12, 4],
 [2, -14, -2, 16, 4]]

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


[User]
What is the rank of the matrix:
[[5, 5, 10, 0, -30],
 [-5, -5, -10, 0, 30],
 [0, 0, 0, 0, 0],
 [0, 0, 0, 0, 0],
 [-5, -5, -10, 0, 30]]?

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


[User]
What is the rank of the matrix:
[[1, 3, 1, -6, 3],
 [3, 9, 3, -18, 9],
 [3, 9, 3, -18, 9],
 [-3, -9, -3, 18, -9],
 [-4, -12, -4, 24, -12]]?

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


[User]
What is the rank of the matrix:
[[12, 0, -8, 0, 24],
 [-18, 0, 12, 0, -36],
 [18, 0, -12, 0, 36],
 [-3, 0, 2, 0, -6],
 [-9, 0, 6, 0, -18]]?

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


[User]
Determine the rank of the following matrix:
[[24, 0, -24, 12, 36],
 [-8, 5, -2, 21, 33],
 [-24, 0, 24, -12, -36],
 [-32, 2, 28, -6, -30],
 [20, 0, -20, 10, 30]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[9, 3, -16, 20, -13],
 [33, -8, 47, -34, 1],
 [-30, -2, -32, -20, -6],
 [-7, -8, 3, -26, -31],
 [4, 2, -14, 22, -22]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[18, -14, -12, -30, 14],
 [-12, -8, 8, -6, 8],
 [-6, -22, 4, -30, 22],
 [-24, 16, 16, 36, -16],
 [-24, -28, 16, -30, 28]]

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


[User]
Find the rank of the matrix:
[[6, 22, -6, -4, 2],
 [22, 41, 12, 16, -31],
 [-3, -2, -18, -6, 9],
 [-3, -3, -27, -6, 9],
 [12, 22, -6, 8, -16]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-18, -22, 0, -16, 12],
 [-17, -19, -10, -10, 11],
 [-27, -14, 15, -36, -1],
 [-17, -12, 35, -36, -1],
 [9, 42, -15, 10, -32]]

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


[User]
Determine the rank of the following matrix:
[[26, 12, 7, 25, -12],
 [-28, -12, -6, -26, 16],
 [-8, -12, -16, -16, -24],
 [10, 0, -5, 5, -20],
 [6, 0, -3, 3, -12]]

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


[User]
Find the rank of the matrix:
[[-27, 0, 6, 30, -15],
 [8, 4, -6, -6, 4],
 [3, 24, -26, 14, -1],
 [10, 14, -17, -1, 4],
 [-28, 4, 2, 34, -16]]

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


[User]
Find the rank of the matrix:
[[18, -27, 27, 3, 15],
 [-24, 12, 0, -34, -14],
 [0, 24, -36, 30, -6],
 [-12, 18, -18, -2, -10],
 [30, -33, 27, 20, 22]]

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


[User]
Find the rank of the matrix:
[[-6, -12, 18, 12, -6],
 [0, 0, 0, 0, 0],
 [2, 4, -6, -4, 2],
 [12, 24, -36, -24, 12],
 [-12, -24, 36, 24, -12]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-18, 6, -6, -3, -6],
 [-24, 8, -8, -4, -8],
 [24, -8, 8, 4, 8],
 [18, -6, 6, 3, 6],
 [18, -6, 6, 3, 6]]

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


[User]
Determine the rank of the following matrix:
[[34, -27, 21, 34, -18],
 [36, 2, 34, -4, 28],
 [28, -10, 22, 12, 4],
 [-28, 10, -22, -12, -4],
 [-44, 12, -36, -14, -12]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[30, 0, 29, -24, -16],
 [-41, -30, -24, 47, 24],
 [-30, -51, 39, 6, 3],
 [31, -7, 41, -29, -19],
 [7, 18, -45, 29, 12]]

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


[User]
Calculate the rank of matrix A where A =
[[24, -30, -24, -60, 18],
 [-20, 14, 6, 12, -30],
 [-4, 12, 14, 38, 6],
 [-4, 26, 10, 10, 36],
 [2, 15, 5, 2, 33]]

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


[User]
What is the rank of the matrix:
[[-13, -54, 10, 24, -8],
 [27, -30, -6, 32, -56],
 [18, -9, 4, -17, -18],
 [-5, 30, 2, -32, 28],
 [-20, 21, 6, -28, 43]]?

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


[User]
Find the rank of the matrix:
[[-8, -20, 0, 4, 16],
 [12, 30, 0, -6, -24],
 [-6, -15, 0, 3, 12],
 [2, 5, 0, -1, -4],
 [-12, -30, 0, 6, 24]]

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


[User]
Find the rank of the matrix:
[[-21, 26, 27, 26, -12],
 [19, 80, 16, 40, -78],
 [11, -30, 45, 24, 66],
 [-38, 16, -14, -38, 6],
 [-17, -26, -31, -18, -12]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-4, 18, -2, -6, -16],
 [19, -21, 8, 40, 41],
 [24, -30, -20, -17, -68],
 [16, -12, -10, 0, -6],
 [-10, 0, 2, -8, 34]]

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


[User]
Determine the rank of the following matrix:
[[0, 30, 12, 30, -12],
 [0, -25, -10, -25, 10],
 [0, 10, 4, 10, -4],
 [0, 5, 2, 5, -2],
 [0, 10, 4, 10, -4]]

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


[User]
Calculate the rank of matrix A where A =
[[-2, -3, 2, 6, 1],
 [-6, -9, 6, 18, 3],
 [8, 12, -8, -24, -4],
 [8, 12, -8, -24, -4],
 [10, 15, -10, -30, -5]]

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


[User]
Calculate the rank of matrix A where A =
[[-9, 27, -15, 11, -17],
 [-25, -30, 18, -40, -32],
 [11, -49, 10, -3, 22],
 [54, 48, 6, 6, 54],
 [19, -43, -35, 27, 7]]

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


[User]
What is the rank of the matrix:
[[-5, 5, 45, -45, -20],
 [6, 35, -46, 33, -3],
 [-10, 0, -27, 25, 17],
 [4, -9, 39, -34, -14],
 [-5, -2, -28, 27, 16]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-7, -17, -16, -25, -14],
 [-14, -19, -15, -30, -21],
 [-4, -14, -14, -20, -10],
 [35, 10, -5, 25, 35],
 [-18, -18, -12, -30, -24]]

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


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

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


[User]
Determine the rank of the following matrix:
[[-18, -8, -4, -6, 12],
 [0, 0, 0, 0, 0],
 [12, 4, -4, 8, -6],
 [12, 10, 26, -10, -15],
 [-6, 0, 12, -10, 0]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[12, -12, 6, 0, 15],
 [-6, 24, 6, 6, 9],
 [20, -32, 4, -4, 14],
 [0, 0, 0, 0, 0],
 [-7, -2, -8, -3, -17]]

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


[User]
Calculate the rank of matrix A where A =
[[-36, 12, 6, -6, 18],
 [-18, 6, 3, -3, 9],
 [-30, 10, 5, -5, 15],
 [-18, 6, 3, -3, 9],
 [18, -6, -3, 3, -9]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-23, -17, -5, 1, 9],
 [10, 22, 26, -30, -10],
 [27, 23, -18, 24, 22],
 [-17, -8, -13, 25, 55],
 [-27, -14, -14, 18, 48]]

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


[User]
What is the rank of the matrix:
[[-25, -5, 0, -35, 35],
 [-10, 22, -40, 34, -10],
 [30, -18, 40, -6, -18],
 [-5, 11, -20, 17, -5],
 [-25, 28, -55, 31, 2]]?

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


[User]
Calculate the rank of matrix A where A =
[[0, 0, 0, 0, 0],
 [-5, -3, -5, 0, 0],
 [-5, -3, -5, 0, 0],
 [-30, -18, -30, 0, 0],
 [-5, -3, -5, 0, 0]]

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


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

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


[User]
What is the rank of the matrix:
[[-32, -29, -31, 2, -11],
 [-40, -5, -9, -13, -24],
 [-10, 16, 30, -47, 19],
 [-51, -78, -60, 0, 0],
 [-76, -20, -12, -37, -33]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-1, -4, 49, -39, 17],
 [28, 40, -4, 12, 28],
 [-6, -10, 28, -24, 4],
 [11, 14, 31, -21, 23],
 [39, 56, -11, 21, 37]]

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


[User]
What is the rank of the matrix:
[[-9, 13, 0, -5, -6],
 [5, -1, 8, 1, 6],
 [15, -3, 24, 3, 18],
 [13, 3, 28, 1, 18],
 [-26, 22, -20, -10, -24]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-18, 6, -40, 2, -2],
 [3, -3, 25, -5, 2],
 [42, -6, 20, 14, -2],
 [-47, 1, -2, -16, 4],
 [-14, 28, 11, -48, 3]]

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


[User]
Determine the rank of the following matrix:
[[5, -16, -7, -1, -15],
 [6, 25, 16, 3, 4],
 [-12, 18, -8, 14, -8],
 [-7, 19, -1, 10, -3],
 [10, 36, 18, 10, -10]]

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


[User]
Find the rank of the matrix:
[[12, -10, 12, -4, -6],
 [-18, 15, -18, 6, 9],
 [30, -25, 30, -10, -15],
 [-6, 5, -6, 2, 3],
 [6, -5, 6, -2, -3]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-28, -8, 28, -42, -20],
 [-51, 55, -12, -4, -52],
 [12, 8, -2, -6, 10],
 [-40, 31, -36, -21, -74],
 [-3, -26, 2, -25, -16]]

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


[User]
Find the rank of the matrix:
[[18, -9, 3, 18, 6],
 [-18, 9, -3, -18, -6],
 [6, -3, 1, 6, 2],
 [0, 0, 0, 0, 0],
 [-18, 9, -3, -18, -6]]

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


[User]
What is the rank of the matrix:
[[-19, 11, 9, 23, -14],
 [15, -14, -2, -21, 13],
 [4, -2, 16, 2, -2],
 [-4, -50, -12, -30, 26],
 [-31, -34, -20, -6, 12]]?

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


[User]
Find the rank of the matrix:
[[-41, -4, -14, 9, 56],
 [-20, -18, -31, -36, -12],
 [-25, -40, -25, -15, 10],
 [2, 27, 34, 54, 51],
 [-34, -39, -37, -30, 7]]

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


[User]
What is the rank of the matrix:
[[16, -32, 19, -29, -15],
 [-24, 29, 14, 48, 7],
 [-16, -19, 26, 4, -9],
 [36, 49, -4, 2, 23],
 [8, 42, 16, -8, 38]]?

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


[User]
Determine the rank of the following matrix:
[[28, 0, 14, 17, 7],
 [-12, -80, 50, -30, -3],
 [-51, -61, 12, 1, -3],
 [15, 13, -6, -22, 12],
 [-17, -19, 10, -52, -14]]

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


[User]
Calculate the rank of matrix A where A =
[[-9, 33, -7, -15, -25],
 [15, -41, 14, 11, 37],
 [-3, 1, -4, 5, -5],
 [-3, 19, -1, -13, -11],
 [-3, 13, -2, -7, -9]]

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


[User]
Calculate the rank of matrix A where A =
[[-37, 44, 5, -3, 16],
 [10, -34, -16, -3, -10],
 [19, -41, 0, -9, -26],
 [60, 20, 55, 20, -3],
 [27, -9, 18, 2, -14]]

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


[User]
Find the rank of the matrix:
[[3, 7, 1, 3, 0],
 [9, -1, -13, -21, 0],
 [-1, -28, -19, -36, 0],
 [15, 24, -3, 0, 0],
 [-14, -18, 6, 6, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[11, 19, -14, 8, 4],
 [-14, -7, 17, -20, -1],
 [-19, -50, 25, -4, -11],
 [14, 7, -17, 20, 1],
 [-1, 25, 0, -16, 6]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-2, 12, -6, 40, -12],
 [-21, 3, 4, 22, -22],
 [-32, 12, 24, 35, -27],
 [-7, 6, 39, -18, 12],
 [38, 3, -25, 1, 25]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[5, -17, 8, -1, 21],
 [37, -25, -20, -2, -3],
 [-24, 4, 43, 9, -3],
 [25, -25, -15, -5, 20],
 [29, -5, -13, 5, -42]]

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


[User]
Determine the rank of the following matrix:
[[-4, -34, 12, -4, 30],
 [-7, -24, -12, -10, 1],
 [34, -5, -58, 38, -33],
 [33, 17, -33, 39, -37],
 [-14, 24, 20, -16, 14]]

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


[User]
Calculate the rank of matrix A where A =
[[10, -4, -12, 0, -6],
 [30, -12, -36, 0, -18],
 [-20, 8, 24, 0, 12],
 [-15, 6, 18, 0, 9],
 [25, -10, -30, 0, -15]]

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


[User]
Calculate the rank of matrix A where A =
[[35, -20, -5, 5, -35],
 [6, -8, 14, -38, 34],
 [-23, 16, -6, 21, -2],
 [-13, 12, -13, 37, -27],
 [-30, 16, 8, -14, 40]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-6, -29, -39, -49, -32],
 [-27, 19, 28, 47, 56],
 [-12, 12, 26, 40, 35],
 [-28, 50, 48, 58, 64],
 [-42, -44, -23, 4, 32]]

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


[User]
What is the rank of the matrix:
[[-4, -14, -3, 11, -12],
 [-40, -12, -47, 28, -8],
 [56, 30, 56, -38, -3],
 [-48, -28, -56, 44, -26],
 [-16, 0, -6, -8, 44]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[15, -20, 25, -30, 0],
 [12, -16, 20, -24, 0],
 [12, -16, 20, -24, 0],
 [12, -16, 20, -24, 0],
 [3, -4, 5, -6, 0]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[8, 36, 10, -10, -48],
 [-39, -14, 5, -24, 2],
 [19, 26, -11, 10, -26],
 [8, -23, -17, 20, 38],
 [-28, -49, -13, 2, 58]]

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


[User]
Determine the rank of the following matrix:
[[-26, 10, -57, 46, -42],
 [-14, -23, 6, -41, 42],
 [-14, -12, -21, -7, 6],
 [-14, 14, -3, 42, -39],
 [-44, 45, -15, 76, -49]]

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


[User]
What is the rank of the matrix:
[[16, -19, -53, -19, -14],
 [-9, -18, -51, 21, -16],
 [26, 40, 32, -2, 0],
 [34, 17, -23, -13, -14],
 [29, 37, 24, -6, -2]]?

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


[User]
What is the rank of the matrix:
[[11, 14, 4, -6, 8],
 [13, 14, 6, -2, 5],
 [20, 24, 8, -8, 12],
 [15, 18, 6, -6, 9],
 [-6, 0, -6, -12, 9]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, 12, 18, 9, -9],
 [0, 0, 0, 0, 0],
 [0, 20, 30, 15, -15],
 [0, -12, -18, -9, 9],
 [0, 16, 24, 12, -12]]

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


[User]
Find the rank of the matrix:
[[-1, 6, 8, 1, 4],
 [-11, 10, 11, 11, 9],
 [-14, -4, -9, 14, 1],
 [26, -4, 1, -26, -9],
 [-10, -4, -8, 10, 0]]

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


[User]
Determine the rank of the following matrix:
[[18, -23, -17, 0, -21],
 [-16, -6, -29, -22, 26],
 [6, 3, 21, 0, -7],
 [-14, -11, -36, -23, 24],
 [-18, 9, -15, -3, 22]]

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


[User]
Determine the rank of the following matrix:
[[14, 15, 6, 31, 3],
 [6, 19, 30, 35, -9],
 [2, 41, 45, 65, -9],
 [18, -13, 5, -5, -7],
 [3, 7, -4, 11, 5]]

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


[User]
Determine the rank of the following matrix:
[[-20, -24, -8, 24, -12],
 [-5, -6, -2, 6, -3],
 [0, 0, 0, 0, 0],
 [0, 0, 0, 0, 0],
 [-15, -18, -6, 18, -9]]

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


[User]
Find the rank of the matrix:
[[-20, -30, 2, 11, -6],
 [-21, -29, -14, -8, -45],
 [-9, -21, 8, -24, -25],
 [0, 16, 12, 12, 56],
 [-12, -23, -24, -1, -61]]

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


[User]
Determine the rank of the following matrix:
[[6, -8, -4, -4, 4],
 [18, 8, -20, 8, 12],
 [-30, -8, 32, -10, -20],
 [-24, 0, 24, -4, -16],
 [-6, -8, 8, -6, -4]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[24, 10, -6, -14, -27],
 [12, -6, 6, 6, -3],
 [-11, -22, 17, 27, 29],
 [-10, 16, -14, -18, -8],
 [14, 26, -20, -32, -35]]

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


[User]
Calculate the rank of matrix A where A =
[[0, 0, 0, 0, 0],
 [-9, 6, 3, 12, -18],
 [-6, 4, 2, 8, -12],
 [6, -4, -2, -8, 12],
 [-15, 10, 5, 20, -30]]

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


[User]
What is the rank of the matrix:
[[36, -54, 27, -33, 15],
 [-21, 36, -15, 20, -8],
 [27, -24, 23, -22, 14],
 [-24, 24, -20, 20, -12],
 [30, -42, 23, -27, 13]]?

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


[User]
Find the rank of the matrix:
[[-10, 0, -18, 13, -4],
 [21, 0, 27, -21, 3],
 [-8, 0, 0, 2, 4],
 [13, 0, 15, -12, 1],
 [-4, 0, 0, 1, 2]]

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


[User]
Find the rank of the matrix:
[[-26, -10, -2, 0, 34],
 [-34, -15, -4, 18, 25],
 [-36, -27, 0, 49, -16],
 [-1, 1, -7, 35, -30],
 [10, 22, -20, 35, -23]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[6, -57, -73, 9, 54],
 [-57, 23, 18, 6, -45],
 [-3, 48, 55, -25, -28],
 [34, -19, -19, -8, 33],
 [-75, 9, -6, 3, -39]]

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


[User]
Determine the rank of the following matrix:
[[6, 0, 18, -12, -24],
 [6, 0, 18, -12, -24],
 [-5, 0, -15, 10, 20],
 [6, 0, 18, -12, -24],
 [4, 0, 12, -8, -16]]

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


[User]
Determine the rank of the following matrix:
[[28, -12, -31, -19, -13],
 [-27, 5, 11, 29, 38],
 [-7, 9, 25, -5, -20],
 [-28, 4, 8, 32, 44],
 [15, -9, -24, -6, 3]]

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


[User]
Determine the rank of the following matrix:
[[-24, 14, -12, 6, -22],
 [-28, -2, 28, 30, -2],
 [11, -20, 40, 12, 19],
 [-26, -3, 32, 27, -9],
 [-24, 0, 15, 27, 9]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-25, 25, -10, -10, -20],
 [30, -30, 12, 12, 24],
 [10, -10, 4, 4, 8],
 [15, -15, 6, 6, 12],
 [-5, 5, -2, -2, -4]]

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


[User]
Find the rank of the matrix:
[[-16, 3, -5, -9, -11],
 [22, -30, 17, 36, 23],
 [-24, -30, 6, 18, -6],
 [6, 42, -15, -36, -9],
 [-24, 16, -12, -24, -20]]

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


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

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


[User]
Find the rank of the matrix:
[[-36, -33, -17, -33, 43],
 [38, 0, 35, 24, -24],
 [-32, 12, -1, -18, -38],
 [-5, 0, -16, 9, 13],
 [-44, 4, -32, -24, 8]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-28, 17, -1, 14, -27],
 [20, 8, 28, 18, -1],
 [-3, -11, 10, -1, 5],
 [39, -45, 66, 3, 42],
 [-11, 10, -23, -5, -9]]

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


[User]
What is the rank of the matrix:
[[-6, -3, -5, 3, 4],
 [-30, -15, -25, 15, 20],
 [-12, -6, -10, 6, 8],
 [24, 12, 20, -12, -16],
 [-12, -6, -10, 6, 8]]?

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


[User]
Find the rank of the matrix:
[[-75, 25, -74, 27, 24],
 [-50, 5, -54, 12, -1],
 [38, -25, 33, -20, -28],
 [23, -10, 31, -9, 34],
 [36, -26, 33, -20, -17]]

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


[User]
Determine the rank of the following matrix:
[[0, -2, -6, 0, -2],
 [0, -4, -12, 0, -4],
 [0, 12, 36, 0, 12],
 [0, 10, 30, 0, 10],
 [0, -4, -12, 0, -4]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[4, -6, -22, -14, 7],
 [12, -6, -39, -27, 12],
 [12, -6, -39, -27, 12],
 [12, 14, 6, -2, -3],
 [-24, -36, -30, -6, 12]]

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


[User]
Find the rank of the matrix:
[[-22, 7, -28, 18, -12],
 [-31, 47, 21, -74, -13],
 [28, -1, 28, -9, -18],
 [-22, -9, -18, 10, 38],
 [-18, 5, -9, -1, 9]]

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


[User]
Calculate the rank of matrix A where A =
[[-16, 12, -18, -18, 14],
 [10, 6, 11, -11, -5],
 [-25, 12, -20, -1, 8],
 [-8, -30, -31, 5, 31],
 [11, -6, -1, -18, 11]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-36, -24, -9, -12, 9],
 [54, -48, 48, 30, -30],
 [15, 3, 5, -7, 3],
 [36, -18, 25, 8, -11],
 [-30, -34, -7, -50, 31]]

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


[User]
Determine the rank of the following matrix:
[[38, -17, 14, 35, -25],
 [-30, 17, 1, -8, -62],
 [-46, 3, 28, 27, -35],
 [44, -48, 15, 31, -3],
 [25, -9, 13, 31, 31]]

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


[User]
Determine the rank of the following matrix:
[[-9, -8, -11, -36, -21],
 [-6, 0, -18, -48, -52],
 [46, 54, -46, 11, 19],
 [0, -4, -16, -18, 14],
 [-22, -30, -2, -35, -9]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[7, -41, 6, -29, 6],
 [-15, 3, 18, -15, 18],
 [8, -50, 8, -36, 8],
 [23, -9, -26, 19, -26],
 [-5, 23, -2, 15, -2]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-37, -8, 10, 16, 37],
 [-6, -3, 2, 6, 20],
 [-5, 5, -12, 8, -39],
 [54, 9, -6, -30, -36],
 [50, 4, 0, -26, 0]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-16, -20, 4, 12, 20],
 [-16, -20, 4, 12, 20],
 [-8, -10, 2, 6, 10],
 [4, 5, -1, -3, -5],
 [-4, -5, 1, 3, 5]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[14, -26, -28, 38, -30],
 [-11, -7, -10, 17, -13],
 [-14, 26, 28, -38, 30],
 [34, -22, -20, 22, -18],
 [38, -2, 4, -14, 10]]

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


[User]
Calculate the rank of matrix A where A =
[[23, 6, 24, 1, -7],
 [-30, -12, -57, -12, -9],
 [-13, -4, -30, -10, -7],
 [39, 10, 36, -1, -15],
 [4, -10, 25, 27, 9]]

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


[User]
Find the rank of the matrix:
[[15, -34, 53, 9, 26],
 [4, 8, -17, 53, 33],
 [-14, -5, -28, -27, -19],
 [35, -5, 6, 37, -29],
 [-11, -12, -1, -39, -16]]

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


[User]
Determine the rank of the following matrix:
[[2, 5, -4, -4, 5],
 [-8, -20, 16, 16, -20],
 [12, 30, -24, -24, 30],
 [-12, -30, 24, 24, -30],
 [2, 5, -4, -4, 5]]

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


[User]
Find the rank of the matrix:
[[39, 6, -1, 36, 8],
 [-36, -19, 8, -29, -17],
 [9, -5, 7, -30, -67],
 [-37, -22, 7, -2, 16],
 [27, 1, 1, 26, -1]]

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


[User]
Calculate the rank of matrix A where A =
[[15, 2, 14, 9, 12],
 [-30, -12, -24, -12, -36],
 [50, -4, 52, 38, 24],
 [20, 12, 14, 5, 30],
 [25, 10, 20, 10, 30]]

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


[User]
Find the rank of the matrix:
[[42, -36, -12, 5, 38],
 [0, -24, -36, 8, 16],
 [12, -30, -33, 8, 24],
 [36, -24, 0, 2, 28],
 [6, 6, 15, -3, -2]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[18, 9, -15, 6, 6],
 [18, 9, -15, 6, 6],
 [36, 18, -30, 12, 12],
 [-36, -18, 30, -12, -12],
 [-12, -6, 10, -4, -4]]

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


[User]
What is the rank of the matrix:
[[7, -22, 29, -19, -6],
 [47, -4, 15, 31, -6],
 [-36, 28, -42, -6, 0],
 [-6, -29, 30, 36, 72],
 [-14, -10, 11, -43, -24]]?

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