[User]
Find the rank of the matrix:
[[-40, 52, -18, 36, 24],
 [47, -60, 31, -54, -20],
 [23, -38, 12, -52, 0],
 [5, -16, -37, 24, -28],
 [-9, -6, -36, -4, 0]]

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


[User]
Find the rank of the matrix:
[[-9, -28, -39, -33, -22],
 [7, 20, 41, 35, 14],
 [1, 14, 29, 19, 4],
 [1, 12, -13, -14, 11],
 [14, 4, 46, 56, 14]]

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


[User]
Find the rank of the matrix:
[[-21, -38, 12, 40, 6],
 [-4, -12, -15, 32, -1],
 [-6, -7, 8, -5, -1],
 [-10, -8, 20, -36, -4],
 [17, 40, -13, -26, -15]]

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


[User]
Find the rank of the matrix:
[[-82, 1, 2, -12, 13],
 [-30, 23, 31, -62, -19],
 [-12, -4, 10, 25, 14],
 [-4, -12, 3, 7, 22],
 [74, -7, -12, -5, -7]]

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


[User]
Calculate the rank of matrix A where A =
[[-7, 42, -5, -33, -17],
 [43, -26, -39, -27, 21],
 [-21, 28, 13, -8, -16],
 [-29, 82, 21, 13, -35],
 [38, -22, -30, -5, 19]]

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


[User]
Calculate the rank of matrix A where A =
[[28, -20, 2, 26, -36],
 [-37, 26, -27, 37, 18],
 [21, -10, 17, -26, 2],
 [31, -75, 8, -22, 4],
 [15, -38, 10, -31, 16]]

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


[User]
Calculate the rank of matrix A where A =
[[-11, 22, 23, 26, 3],
 [6, 31, 68, 36, 20],
 [30, 6, 35, 21, 28],
 [-12, 11, -12, 6, -10],
 [-33, 28, 5, -6, -31]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-36, -45, -19, -24, -26],
 [-44, -8, 30, -48, 22],
 [32, -13, -1, 26, 28],
 [48, 12, 2, 39, 28],
 [8, -28, 6, 3, 32]]

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


[User]
Find the rank of the matrix:
[[0, 6, -9, -18, 3],
 [0, -10, 15, 30, -5],
 [0, -6, 9, 18, -3],
 [0, 4, -6, -12, 2],
 [0, 10, -15, -30, 5]]

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


[User]
What is the rank of the matrix:
[[6, 1, 4, 5, 5],
 [-24, -4, -16, -20, -20],
 [-18, -3, -12, -15, -15],
 [-24, -4, -16, -20, -20],
 [30, 5, 20, 25, 25]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[15, -12, -9, 18, 0],
 [-20, 16, 12, -24, 0],
 [5, -4, -3, 6, 0],
 [-15, 12, 9, -18, 0],
 [-25, 20, 15, -30, 0]]

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


[User]
Determine the rank of the following matrix:
[[12, 4, -16, 14, 20],
 [-4, -6, -4, -14, 5],
 [12, -2, -28, 2, 35],
 [-2, 6, 16, 11, -20],
 [2, -2, -8, -3, 10]]

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


[User]
Determine the rank of the following matrix:
[[10, -44, -26, -20, -9],
 [2, 16, 2, -11, 3],
 [-4, 9, -34, -11, -66],
 [-8, -18, -4, -3, -1],
 [20, 10, -12, 19, -28]]

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


[User]
What is the rank of the matrix:
[[9, 32, 24, -11, -7],
 [30, 32, 16, -26, -2],
 [7, 33, 20, -17, -2],
 [6, -18, 16, 42, -28],
 [40, 14, 8, -16, -6]]?

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


[User]
What is the rank of the matrix:
[[-29, 27, -4, 53, -12],
 [34, -14, 46, -15, -46],
 [-15, 5, 6, 26, -7],
 [-20, 45, -5, 50, -20],
 [-19, -5, -8, 20, 7]]?

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


[User]
Find the rank of the matrix:
[[34, 34, -53, 26, -40],
 [-10, -2, 71, -54, -46],
 [24, -31, 3, 12, -3],
 [14, 11, -40, 34, 37],
 [-3, 68, -40, 17, 37]]

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


[User]
Find the rank of the matrix:
[[15, 8, 17, -20, -32],
 [3, -42, 10, 14, 12],
 [-52, 4, 21, -18, 3],
 [-2, -18, 41, -26, -34],
 [16, -34, 2, 16, 9]]

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


[User]
Calculate the rank of matrix A where A =
[[-26, -46, -9, 6, -11],
 [0, -12, 5, 1, 9],
 [4, -4, 6, 0, 10],
 [-28, -44, -12, 6, -16],
 [44, 28, 36, -6, 56]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-8, -36, 52, -52, 30],
 [-8, -23, 42, -42, 35],
 [5, 26, -45, 45, -20],
 [-2, 0, 10, -10, 12],
 [-2, -8, 24, -24, 11]]

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


[User]
Find the rank of the matrix:
[[-14, -14, 11, -4, 11],
 [32, 3, 37, -24, 8],
 [14, 0, 19, -12, 5],
 [0, 0, 0, 0, 0],
 [44, 12, 34, -24, 2]]

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


[User]
Determine the rank of the following matrix:
[[-14, 0, -14, -3, -13],
 [-32, 10, -32, 16, -4],
 [2, -12, 2, -27, -29],
 [26, -16, 26, -31, -17],
 [14, 0, 14, 3, 13]]

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


[User]
Find the rank of the matrix:
[[20, 10, 20, 20, 15],
 [16, 8, 16, 16, 12],
 [12, 6, 12, 12, 9],
 [24, 12, 24, 24, 18],
 [16, 8, 16, 16, 12]]

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


[User]
Determine the rank of the following matrix:
[[-28, 16, 8, -44, -14],
 [24, -24, -12, -24, 30],
 [-10, 12, 6, 22, -16],
 [-38, 32, 16, 2, -37],
 [-24, 24, 12, 24, -30]]

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


[User]
What is the rank of the matrix:
[[0, 0, 0, 0, 0],
 [12, -8, -6, 8, -10],
 [-30, 20, 15, -20, 25],
 [0, 0, 0, 0, 0],
 [0, 0, 0, 0, 0]]?

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


[User]
Find the rank of the matrix:
[[14, 4, -12, 10, 16],
 [12, -6, -15, -3, 15],
 [6, 8, -2, 12, 6],
 [16, 14, -9, 23, 17],
 [-26, -20, 16, -34, -28]]

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


[User]
Find the rank of the matrix:
[[-7, -20, -11, 1, 6],
 [22, -61, -55, 29, -6],
 [40, -31, -43, 29, -6],
 [-10, -27, -13, 7, -18],
 [1, -43, -31, 14, -6]]

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


[User]
Determine the rank of the following matrix:
[[-4, 6, 4, 13, 6],
 [0, 25, 5, 20, 0],
 [20, 20, -10, -25, -30],
 [-4, -19, -1, -7, 6],
 [24, 4, -16, -46, -36]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-67, 47, 9, 43, -21],
 [17, 7, -43, -1, 27],
 [8, -16, -43, 0, -6],
 [2, 34, -24, 36, 30],
 [26, 4, -37, 41, 18]]

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


[User]
Find the rank of the matrix:
[[-6, 0, -2, 2, -2],
 [-36, 0, -12, 12, -12],
 [36, 0, 12, -12, 12],
 [18, 0, 6, -6, 6],
 [30, 0, 10, -10, 10]]

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


[User]
Determine the rank of the following matrix:
[[-34, -14, 39, -36, 19],
 [-16, 0, -23, -14, 3],
 [-19, 14, -11, -29, 10],
 [3, -2, -84, 21, 11],
 [-13, 16, 41, -33, 14]]

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


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

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


[User]
Find the rank of the matrix:
[[47, -31, 25, 9, 7],
 [-14, 44, -36, -24, 28],
 [35, 16, -24, -30, 40],
 [48, 3, 17, 11, 38],
 [-19, -32, 56, 59, -43]]

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


[User]
What is the rank of the matrix:
[[25, 34, -14, -6, 12],
 [3, 8, 11, 0, -31],
 [-20, -32, 28, 0, -12],
 [-19, -17, -17, 13, -9],
 [26, 32, 17, -12, -15]]?

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


[User]
Determine the rank of the following matrix:
[[-30, -40, 14, -14, -34],
 [10, 15, -3, 4, 13],
 [30, 25, -29, 20, 19],
 [15, -15, -42, 21, -18],
 [25, 25, -20, 15, 20]]

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


[User]
Calculate the rank of matrix A where A =
[[-2, 32, 20, -6, 16],
 [-10, 22, 9, 7, 22],
 [72, 6, 41, -14, -7],
 [4, -54, -21, 1, 2],
 [12, 64, 40, -20, -2]]

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


[User]
What is the rank of the matrix:
[[41, 54, 32, 40, 21],
 [16, -20, -36, 0, 28],
 [15, 12, -60, -43, 20],
 [-3, 25, -20, -32, -4],
 [-34, -21, -8, 16, 13]]?

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


[User]
Find the rank of the matrix:
[[-8, 20, -22, -7, -22],
 [1, -5, 6, 2, 7],
 [-20, 0, 10, 5, 30],
 [19, 5, -16, -7, -37],
 [16, 0, -8, -4, -24]]

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


[User]
Find the rank of the matrix:
[[6, -2, 9, -26, 8],
 [-33, 18, -6, 0, -13],
 [-34, 3, -12, -7, 2],
 [2, 0, 9, -19, 7],
 [12, 20, 33, -10, -4]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-18, 1, -7, 3, -9],
 [-50, 5, -5, -15, 5],
 [38, -5, -4, 24, -20],
 [-10, 1, -1, -3, 1],
 [-2, -1, -8, 12, -16]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[28, -25, 2, -7, 11],
 [24, -18, 19, -24, 16],
 [17, -19, -12, 11, 3],
 [38, -19, 14, -37, 5],
 [-18, 22, -25, 16, -28]]

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


[User]
Calculate the rank of matrix A where A =
[[3, 1, 6, 4, -6],
 [9, 3, 18, 12, -18],
 [6, 2, 12, 8, -12],
 [-18, -6, -36, -24, 36],
 [-9, -3, -18, -12, 18]]

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


[User]
Determine the rank of the following matrix:
[[9, 18, -12, -6, 12],
 [0, -18, -4, 0, 2],
 [-6, -30, 4, 4, -6],
 [-18, -9, 30, 12, -27],
 [-27, -18, 44, 18, -40]]

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


[User]
Find the rank of the matrix:
[[46, -10, 2, 30, -10],
 [-29, 11, -1, -24, 10],
 [28, -6, -12, -6, 11],
 [14, -2, 24, 4, 12],
 [63, -29, -9, -2, 26]]

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


[User]
Find the rank of the matrix:
[[-22, 56, -18, 50, 16],
 [-21, 8, 22, 10, -30],
 [-93, 14, 84, -10, -42],
 [-6, 35, -20, 22, 20],
 [31, -17, -26, -24, 34]]

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


[User]
Determine the rank of the following matrix:
[[-9, -12, 18, -9, -9],
 [-15, -20, 30, -15, -15],
 [-3, -4, 6, -3, -3],
 [-9, -12, 18, -9, -9],
 [-18, -24, 36, -18, -18]]

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


[User]
Determine the rank of the following matrix:
[[47, -20, 28, 17, -35],
 [-40, 5, -22, -18, 65],
 [24, -45, 14, 1, -44],
 [39, -45, -24, -63, 2],
 [-3, -15, -21, -33, 6]]

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


[User]
Determine the rank of the following matrix:
[[1, 25, -37, -22, 39],
 [6, 71, 30, 13, 6],
 [-2, 49, -29, -18, 2],
 [0, -27, 33, 34, 22],
 [9, -44, 21, -7, -3]]

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


[User]
Calculate the rank of matrix A where A =
[[12, 2, 16, -35, 21],
 [14, -7, 28, -33, 4],
 [-11, 40, 6, -22, -20],
 [-1, 25, -14, -22, 35],
 [5, -8, -18, 3, 39]]

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


[User]
What is the rank of the matrix:
[[-26, 14, -3, -5, -7],
 [0, 0, 30, -30, 5],
 [56, -40, 24, 8, 34],
 [-18, -2, -9, 21, 13],
 [24, -16, 6, 6, 12]]?

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


[User]
What is the rank of the matrix:
[[-24, -58, 27, -2, -39],
 [-48, -12, -6, -28, -34],
 [6, -22, 22, 7, 2],
 [-12, -40, 34, -2, -10],
 [-12, 12, -28, -6, -20]]?

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


[User]
What is the rank of the matrix:
[[16, -8, 12, 10, -38],
 [12, -3, 12, 15, -39],
 [28, -33, 2, -30, 0],
 [-24, 22, -8, 10, 22],
 [-36, 39, -6, 30, 12]]?

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


[User]
Determine the rank of the following matrix:
[[30, 0, 24, 24, 6],
 [-25, 0, -20, -20, -5],
 [-20, 0, -16, -16, -4],
 [30, 0, 24, 24, 6],
 [5, 0, 4, 4, 1]]

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


[User]
What is the rank of the matrix:
[[-21, -16, 31, 11, 21],
 [-22, 8, -34, 30, -39],
 [-32, -42, 48, 6, -14],
 [-29, -42, 11, 9, 17],
 [18, -18, 16, -28, 48]]?

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


[User]
What is the rank of the matrix:
[[36, 18, -6, 30, -24],
 [-18, -9, 3, -15, 12],
 [0, 0, 0, 0, 0],
 [-6, -3, 1, -5, 4],
 [-6, -3, 1, -5, 4]]?

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


[User]
Calculate the rank of matrix A where A =
[[-6, -6, 6, 6, 8],
 [15, 33, 39, 27, 40],
 [27, 36, 0, -6, -6],
 [-3, -9, -15, -11, -16],
 [6, -3, -33, -27, -38]]

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


[User]
What is the rank of the matrix:
[[24, -33, 6, -20, -6],
 [-6, 55, -12, 24, -30],
 [-36, -21, 38, 4, 26],
 [-36, -21, 38, 4, 26],
 [48, 12, -2, -8, -68]]?

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


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

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


[User]
Find the rank of the matrix:
[[6, 7, -13, -2, 33],
 [2, 28, -18, 12, -10],
 [41, -26, -25, 2, 7],
 [19, -3, -18, 2, 14],
 [36, -32, -12, 8, -44]]

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


[User]
What is the rank of the matrix:
[[-18, -18, 36, -30, -24],
 [-12, -12, 24, -20, -16],
 [-15, -15, 30, -25, -20],
 [12, 12, -24, 20, 16],
 [-15, -15, 30, -25, -20]]?

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


[User]
Calculate the rank of matrix A where A =
[[-19, -12, 5, -8, -1],
 [22, -34, 38, -24, 6],
 [19, -6, 10, 2, -2],
 [-17, 39, -38, 14, 4],
 [16, 32, -22, 12, 6]]

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


[User]
Calculate the rank of matrix A where A =
[[36, -4, -13, -1, -8],
 [1, 53, -9, -22, -63],
 [-6, 1, 19, 15, 11],
 [21, 5, -25, -18, -23],
 [38, -33, -10, 10, 25]]

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


[User]
What is the rank of the matrix:
[[20, -16, -15, -21, 10],
 [-8, 6, 5, 9, -5],
 [-4, -4, -15, 15, -20],
 [12, -6, 0, -18, 15],
 [20, -12, -5, -27, 20]]?

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


[User]
What is the rank of the matrix:
[[6, 33, 3, -27, -30],
 [-20, 11, -1, 21, -2],
 [-19, 2, -7, 45, 16],
 [-3, -38, 3, 3, 21],
 [21, 3, -6, 0, 6]]?

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


[User]
What is the rank of the matrix:
[[25, 14, 20, 7, -23],
 [14, -13, 7, 0, -22],
 [-23, -2, -9, 41, -1],
 [-36, -30, -24, 44, 0],
 [47, -11, -4, -31, 21]]?

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


[User]
What is the rank of the matrix:
[[56, 56, 9, -19, -6],
 [-17, -9, 8, 8, 33],
 [-39, -41, 22, -12, 24],
 [48, 38, -30, -16, -65],
 [-29, -40, 44, -27, 16]]?

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


[User]
Find the rank of the matrix:
[[32, -12, 0, -34, -21],
 [19, -21, 6, -20, -12],
 [41, 23, 7, -11, 5],
 [40, 36, -4, -2, 32],
 [38, -10, -14, -28, 22]]

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


[User]
Determine the rank of the following matrix:
[[6, -24, -2, 9, 31],
 [4, -10, 0, 6, 14],
 [20, 13, 14, 30, 0],
 [8, -20, 0, 12, 28],
 [6, -15, 0, 9, 21]]

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


[User]
What is the rank of the matrix:
[[-24, -4, 8, -8, 20],
 [18, 3, -6, 6, -15],
 [-24, -4, 8, -8, 20],
 [6, 1, -2, 2, -5],
 [6, 1, -2, 2, -5]]?

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


[User]
What is the rank of the matrix:
[[-46, -6, -28, -44, -24],
 [-3, -1, -28, -13, 15],
 [8, -34, 10, 3, 9],
 [3, 28, -1, 7, -3],
 [-19, -49, 4, -21, -9]]?

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


[User]
Calculate the rank of matrix A where A =
[[38, -20, 38, -38, -38],
 [-30, -6, -12, 12, 30],
 [25, -18, 29, -29, -25],
 [13, 21, -10, 10, -13],
 [-8, 26, -26, 26, 8]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[1, -20, -22, -1, 22],
 [18, 0, -12, -34, -4],
 [-13, -25, 15, 11, 27],
 [14, 5, -28, -16, -6],
 [-2, 40, -1, 22, -39]]

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


[User]
Calculate the rank of matrix A where A =
[[0, -6, 9, -6, 3],
 [0, -10, 15, -10, 5],
 [0, 2, -3, 2, -1],
 [0, 10, -15, 10, -5],
 [0, -12, 18, -12, 6]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-11, 20, 0, -20, -6],
 [-21, 8, 3, -18, -6],
 [13, -37, 11, 5, -5],
 [23, 7, -15, 29, 13],
 [-24, -19, 3, 15, 8]]

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


[User]
What is the rank of the matrix:
[[16, 12, -24, 8, 4],
 [24, 18, -36, 12, 6],
 [8, 6, -12, 4, 2],
 [12, 9, -18, 6, 3],
 [24, 18, -36, 12, 6]]?

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


[User]
Find the rank of the matrix:
[[40, -3, -4, -6, 35],
 [14, 38, -4, 32, 22],
 [15, -3, -6, 4, 9],
 [12, -57, -12, -26, -15],
 [-12, -26, 2, -20, -18]]

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


[User]
Calculate the rank of matrix A where A =
[[-14, 8, 0, 8, -24],
 [-10, -29, 9, -11, -21],
 [1, 11, -3, 5, 3],
 [18, 9, -5, -1, 33],
 [-9, -45, 13, -19, -21]]

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


[User]
What is the rank of the matrix:
[[-1, -24, 27, 14, 12],
 [-6, -6, 12, -6, 48],
 [-2, 25, -29, -29, 22],
 [4, -4, -20, -44, 30],
 [11, 3, -48, -73, 15]]?

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


[User]
Determine the rank of the following matrix:
[[-15, 66, 10, -46, -10],
 [-20, 42, 14, -39, -1],
 [-28, 36, -25, -28, -33],
 [-12, 37, -1, -33, -3],
 [21, -10, 30, 41, -9]]

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


[User]
Find the rank of the matrix:
[[4, 11, 13, 7, -3],
 [0, 3, 4, 5, -1],
 [8, 28, 34, 24, -8],
 [-4, -2, -1, 8, 0],
 [-20, -22, -21, 20, 4]]

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


[User]
Determine the rank of the following matrix:
[[26, 16, -4, -32, -9],
 [-14, -12, 4, 20, 7],
 [44, 0, 8, -32, 2],
 [-8, -32, 16, 32, 20],
 [-24, -8, 0, 24, 4]]

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


[User]
What is the rank of the matrix:
[[-10, -10, 4, 10, -8],
 [-20, -35, -6, -5, -13],
 [-12, -15, 2, 7, -9],
 [-15, -15, 6, 15, -12],
 [33, 45, -2, -13, 24]]?

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


[User]
Calculate the rank of matrix A where A =
[[30, -24, 12, -30, -36],
 [-5, 4, -2, 5, 6],
 [25, -20, 10, -25, -30],
 [30, -24, 12, -30, -36],
 [-15, 12, -6, 15, 18]]

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


[User]
Determine the rank of the following matrix:
[[8, -22, 8, -42, -2],
 [0, -25, 15, -45, -10],
 [-28, -18, 29, -24, -31],
 [-36, -11, 30, -9, -35],
 [0, -30, 18, -54, -12]]

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


[User]
Find the rank of the matrix:
[[26, -1, 31, -1, 4],
 [61, 17, 46, 14, -8],
 [-17, 11, -62, 52, 18],
 [2, -24, -6, 43, 1],
 [-30, 0, -34, 0, 2]]

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


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

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


[User]
What is the rank of the matrix:
[[-3, -3, 15, -39, -27],
 [-24, 6, -6, -66, -36],
 [-9, 2, 1, -28, -21],
 [3, -3, -3, -3, 27],
 [-3, 7, -16, 37, 3]]?

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


[User]
Find the rank of the matrix:
[[-2, 9, -30, -1, 50],
 [12, -32, -13, 8, -6],
 [-8, 8, 25, 0, -31],
 [-18, 1, 14, 1, -2],
 [12, 74, 16, -28, 8]]

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


[User]
Calculate the rank of matrix A where A =
[[14, -21, -12, 22, 0],
 [28, 12, -30, -36, -68],
 [14, -33, -30, -8, -15],
 [60, 37, 5, -56, -80],
 [14, -26, 21, 42, 42]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[24, -44, -6, -71, -9],
 [-27, -36, 9, 51, 5],
 [14, 38, 28, -20, -24],
 [-1, 0, 7, 5, -5],
 [19, -22, 24, -7, -38]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-16, -20, 0, 0, 8],
 [-12, -1, 8, 12, -10],
 [-36, -24, 12, 18, -6],
 [-14, -7, 6, 9, -5],
 [-8, -31, -12, -18, 28]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[30, 20, 10, -25, -25],
 [-24, -16, -8, 20, 20],
 [30, 20, 10, -25, -25],
 [-30, -20, -10, 25, 25],
 [12, 8, 4, -10, -10]]

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


[User]
Calculate the rank of matrix A where A =
[[0, -8, -10, -12, -10],
 [0, -12, -15, -18, -15],
 [0, -16, -20, -24, -20],
 [0, -4, -5, -6, -5],
 [0, -16, -20, -24, -20]]

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


[User]
Calculate the rank of matrix A where A =
[[-34, 9, -75, -13, 23],
 [53, -26, -29, -17, 6],
 [24, -34, 36, 46, 2],
 [-39, -5, -24, 27, 3],
 [1, -3, 80, 38, -9]]

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


[User]
Determine the rank of the following matrix:
[[-28, 2, 21, 8, -20],
 [-16, 4, 13, 6, -10],
 [8, 8, -3, 2, 10],
 [18, 23, -5, 7, 25],
 [-4, -34, -9, -16, -20]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[35, -10, 10, 30, -20],
 [-60, 15, -51, 18, -51],
 [14, 22, 10, -12, 6],
 [39, -17, 29, 0, 23],
 [-4, -12, 12, -24, 36]]

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


[User]
Determine the rank of the following matrix:
[[-18, 14, 1, -24, -2],
 [13, 40, 29, -39, -58],
 [-6, 19, 11, -33, -31],
 [10, 30, 35, -20, -30],
 [-20, 1, -9, -29, -13]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[14, -42, -18, 52, -18],
 [-8, 13, 12, -52, 20],
 [-19, 34, 71, 12, -62],
 [10, -5, -10, 0, 0],
 [-3, 17, 11, 72, -44]]

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


[User]
Calculate the rank of matrix A where A =
[[20, 34, -24, 48, -20],
 [-12, -22, 24, -48, -4],
 [-14, -23, 12, -24, 22],
 [17, 30, -27, 54, -6],
 [-22, -38, 30, -60, 16]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[47, -44, 8, 14, 38],
 [39, -17, 17, -22, 26],
 [14, -19, -30, 23, -9],
 [32, -12, -10, -14, 2],
 [27, -39, 3, 30, 30]]

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


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

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


[User]
Find the rank of the matrix:
[[-8, 65, -54, 61, 81],
 [-2, -4, -1, 0, -5],
 [-4, -11, 11, -15, -1],
 [-10, -11, -2, -3, -4],
 [0, 0, 7, -8, 8]]

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


[User]
Find the rank of the matrix:
[[0, 0, 0, 0, 0],
 [9, 0, -18, 9, 9],
 [15, 0, -30, 15, 15],
 [-9, 0, 18, -9, -9],
 [12, 0, -24, 12, 12]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-17, -12, -23, 1, 25],
 [11, 30, 5, -13, -10],
 [-12, 36, -36, -24, 30],
 [-11, -12, -13, 3, 15],
 [6, -18, 18, 12, -15]]

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


[User]
Find the rank of the matrix:
[[18, 6, 27, -8, 3],
 [19, -45, -3, -18, 24],
 [36, -9, 16, -14, 16],
 [-1, 9, -12, 6, -3],
 [26, 18, 54, -12, 0]]

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


[User]
Find the rank of the matrix:
[[9, -6, -18, 3, 15],
 [6, -4, -12, 2, 10],
 [9, -6, -18, 3, 15],
 [-3, 2, 6, -1, -5],
 [12, -8, -24, 4, 20]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-11, -6, -7, 28, 24],
 [-7, 28, 23, -30, -6],
 [12, -34, -27, 28, -2],
 [-14, 40, 28, 0, 58],
 [-16, -36, -13, -22, 7]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-14, 28, 12, 4, -1],
 [-7, 35, -6, -16, -17],
 [-21, -21, -4, 29, 40],
 [29, -29, 0, -11, -15],
 [-4, 6, -12, -6, -1]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-6, 29, -28, 40, 9],
 [30, -10, 2, 22, -16],
 [-6, 12, -12, 21, -2],
 [6, -18, 18, -30, 0],
 [-21, 27, -21, 12, 20]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-32, -39, -10, -7, -17],
 [43, 26, 28, 3, 31],
 [-9, -3, -12, 1, -11],
 [-15, -17, 4, -5, -1],
 [29, 32, 18, 4, 22]]

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


[User]
Determine the rank of the following matrix:
[[-5, 3, -34, 10, 25],
 [-26, -14, 60, -22, 39],
 [28, 18, -54, 12, 5],
 [-9, 13, 14, -39, 34],
 [-50, -21, 51, -18, 21]]

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


[User]
What is the rank of the matrix:
[[21, -28, 6, -4, 25],
 [-3, 19, -3, 7, -25],
 [6, 4, 0, 4, -10],
 [-48, 38, -10, -2, -20],
 [6, -24, 4, -8, 30]]?

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


[User]
Determine the rank of the following matrix:
[[36, -6, 0, 12, -18],
 [6, -1, 0, 2, -3],
 [-12, 2, 0, -4, 6],
 [-24, 4, 0, -8, 12],
 [-36, 6, 0, -12, 18]]

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


[User]
What is the rank of the matrix:
[[26, 28, -25, 4, -1],
 [36, 0, -30, 24, 9],
 [60, -6, -48, 48, 6],
 [2, 34, -7, -20, 2],
 [-22, -7, 18, -16, 6]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[3, -6, -15, 12, 3],
 [-2, -4, -22, 15, 4],
 [15, -6, 21, -9, -3],
 [-10, 12, 18, -17, -4],
 [-17, 18, 21, -22, -5]]

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


[User]
Calculate the rank of matrix A where A =
[[-16, 24, 16, -16, 22],
 [9, 21, 39, 12, 43],
 [-17, -12, -18, -66, -41],
 [11, 3, 12, -12, 9],
 [-35, 9, 1, -4, -4]]

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


[User]
Find the rank of the matrix:
[[-10, 68, -66, -30, 2],
 [-10, 4, -20, 6, -12],
 [-12, 20, -26, -9, -3],
 [-1, -10, 6, 6, -3],
 [9, -30, 48, 0, 15]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-4, -2, 2, 0, -12],
 [-6, -3, 3, 0, -18],
 [-10, -5, 5, 0, -30],
 [-8, -4, 4, 0, -24],
 [4, 2, -2, 0, 12]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-5, 14, 2, -15, -6],
 [24, 12, 30, 6, 20],
 [24, 30, 39, -9, 18],
 [0, 36, 18, -30, -4],
 [-7, -38, -26, 27, -2]]

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


[User]
Calculate the rank of matrix A where A =
[[-16, -18, 8, -18, -18],
 [7, 45, -44, 45, 45],
 [-1, 25, -28, 25, 25],
 [6, 37, -36, 37, 37],
 [-9, -6, 0, -6, -6]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-13, 19, -19, -28, -10],
 [24, -3, -11, 28, -47],
 [25, -4, -14, 40, -23],
 [-3, -20, 48, -35, -63],
 [5, 21, -39, 5, -18]]

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


[User]
What is the rank of the matrix:
[[-18, -11, -1, 6, 21],
 [-2, -5, 2, -1, 2],
 [-14, 1, -6, 25, 18],
 [-5, -35, 18, 46, 6],
 [-23, -16, 0, 33, 28]]?

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


[User]
Determine the rank of the following matrix:
[[-2, 1, 4, -3, -5],
 [12, -6, -24, 18, 30],
 [10, -5, -20, 15, 25],
 [6, -3, -12, 9, 15],
 [4, -2, -8, 6, 10]]

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


[User]
Calculate the rank of matrix A where A =
[[-35, 22, 32, 7, -14],
 [-10, 7, 9, 3, -5],
 [5, -26, 0, -33, 34],
 [35, -32, -30, -21, 28],
 [-25, 20, 22, 11, -16]]

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


[User]
Calculate the rank of matrix A where A =
[[52, -10, -48, 24, 18],
 [13, -8, 38, -6, 15],
 [-15, -19, -23, 41, 4],
 [7, 5, 13, -27, -2],
 [8, -24, 4, 20, 16]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-30, -30, 12, 30, 0],
 [-19, 10, 12, 3, 5],
 [35, -27, -40, -16, 4],
 [-40, 24, 54, 30, -15],
 [-11, 55, 36, 11, 19]]

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


[User]
Determine the rank of the following matrix:
[[-15, 0, -5, -30, -5],
 [-18, 0, -6, -36, -6],
 [15, 0, 5, 30, 5],
 [-18, 0, -6, -36, -6],
 [15, 0, 5, 30, 5]]

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


[User]
Determine the rank of the following matrix:
[[15, -9, -9, -12, -15],
 [-20, 12, 12, 16, 20],
 [-25, 15, 15, 20, 25],
 [-25, 15, 15, 20, 25],
 [0, 0, 0, 0, 0]]

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


[User]
Find the rank of the matrix:
[[-18, 15, -9, 15, -15],
 [18, -15, 9, -15, 15],
 [30, -25, 15, -25, 25],
 [-12, 10, -6, 10, -10],
 [24, -20, 12, -20, 20]]

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


[User]
Find the rank of the matrix:
[[-26, -10, -24, 0, 8],
 [9, 9, 12, -24, -36],
 [10, -4, 4, 34, 44],
 [-25, -5, -20, -20, -20],
 [5, 7, 8, -22, -32]]

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


[User]
Calculate the rank of matrix A where A =
[[-1, 2, 6, 0, 17],
 [-12, -12, 0, -36, -30],
 [4, 6, 4, 14, 23],
 [-10, -4, 12, -24, 14],
 [1, -4, -10, -2, -30]]

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


[User]
What is the rank of the matrix:
[[-8, -24, -12, 12, 0],
 [10, 30, 15, -15, 0],
 [8, 24, 12, -12, 0],
 [4, 12, 6, -6, 0],
 [-12, -36, -18, 18, 0]]?

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


[User]
Calculate the rank of matrix A where A =
[[1, 13, -6, 0, 9],
 [-14, -2, -56, 20, 14],
 [-5, 41, 32, 78, 35],
 [-4, 20, -25, -29, -23],
 [7, -49, -23, -53, -10]]

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


[User]
What is the rank of the matrix:
[[1, 35, -45, 54, -9],
 [-4, 12, -10, 12, -21],
 [1, 11, -15, 18, 0],
 [-2, -38, 50, -60, 6],
 [-9, 5, 5, -6, -39]]?

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


[User]
Calculate the rank of matrix A where A =
[[0, -24, 8, -6, -12],
 [9, -18, 15, 9, 0],
 [11, -6, 13, 15, 8],
 [24, -36, 36, 27, 6],
 [16, -12, 20, 21, 10]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[4, 4, -1, -3, 0],
 [-20, -20, 5, 15, 0],
 [16, 16, -4, -12, 0],
 [-12, -12, 3, 9, 0],
 [-20, -20, 5, 15, 0]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-54, 3, 21, 30, -21],
 [-70, 30, 36, 38, 18],
 [-3, 9, -3, -4, 19],
 [44, -36, -24, -20, -44],
 [57, -12, -18, -26, 2]]

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


[User]
What is the rank of the matrix:
[[5, 2, -7, 13, 1],
 [60, -14, 21, 46, 10],
 [15, -21, -35, -3, -18],
 [68, -10, -12, 48, -13],
 [-40, -31, 2, 6, 50]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[18, 20, -47, -40, 9],
 [-25, -50, 22, 7, -16],
 [49, 18, 24, -31, -38],
 [-13, -46, 8, -17, -22],
 [-11, -44, 3, -13, -15]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-10, -5, 5, 19, 4],
 [-30, 43, 5, -61, 0],
 [13, 11, -17, -17, 1],
 [-4, -9, 21, -9, -10],
 [35, -5, -25, -1, -1]]

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


[User]
Calculate the rank of matrix A where A =
[[41, -10, -1, -56, 23],
 [-56, -36, 63, -4, -71],
 [-21, -14, 18, -40, 4],
 [15, 26, -33, 46, -7],
 [-73, -38, 72, 24, -66]]

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


[User]
Determine the rank of the following matrix:
[[-30, 25, 32, -50, 29],
 [-10, 17, 23, -63, 8],
 [9, 8, 8, -58, -10],
 [-28, 9, 9, 31, 30],
 [34, -28, -25, 31, -37]]

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


[User]
Calculate the rank of matrix A where A =
[[-2, -19, -14, -17, -4],
 [2, 31, 24, 27, 5],
 [8, -20, -24, -12, 8],
 [-20, 26, 40, 10, -22],
 [32, -20, -46, 2, 37]]

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


[User]
Determine the rank of the following matrix:
[[0, 24, -12, 12, 24],
 [0, -20, 10, -10, -20],
 [0, 12, -6, 6, 12],
 [0, -12, 6, -6, -12],
 [0, 20, -10, 10, 20]]

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


[User]
Find the rank of the matrix:
[[-3, 9, 3, -9, -12],
 [4, -12, -4, 12, 16],
 [0, 0, 0, 0, 0],
 [5, -15, -5, 15, 20],
 [-4, 12, 4, -12, -16]]

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


[User]
Calculate the rank of matrix A where A =
[[-28, -56, 31, -46, 56],
 [6, 12, -15, 6, -12],
 [-7, -14, -2, -16, 14],
 [7, 14, 2, 16, -14],
 [0, 0, 0, 0, 0]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-2, 26, 8, -12, 8],
 [26, 5, -47, 23, 34],
 [-1, 5, 19, 16, 46],
 [22, -29, -53, 19, -11],
 [-28, 19, 38, -1, -13]]

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


[User]
Determine the rank of the following matrix:
[[-14, -2, 14, 14, -20],
 [-49, 10, 14, -36, 35],
 [-11, 1, 4, -35, 26],
 [-12, 11, -9, 49, -17],
 [-2, 8, -12, 20, 2]]

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


[User]
Calculate the rank of matrix A where A =
[[-20, 0, 20, -16, -12],
 [0, 0, 0, 0, 0],
 [-5, 0, 5, -4, -3],
 [-15, 0, 15, -12, -9],
 [25, 0, -25, 20, 15]]

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


[User]
Calculate the rank of matrix A where A =
[[-42, 32, 10, -57, 18],
 [38, -20, -52, 8, -22],
 [3, -19, -44, 0, 6],
 [-13, 7, 38, 11, 8],
 [14, 13, -40, -43, -19]]

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


[User]
What is the rank of the matrix:
[[4, -7, 5, -12, 38],
 [6, -9, 11, 26, -4],
 [-9, 30, 12, 20, 5],
 [-12, -42, 34, 6, 52],
 [-1, -11, 7, 23, -24]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-42, -28, 30, 52, 6],
 [29, 32, -1, -48, 9],
 [35, 40, -5, -60, 5],
 [21, -6, -39, -6, -15],
 [-18, 6, 48, 6, 30]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[18, 33, 0, -30, -54],
 [-8, -19, -6, 22, 30],
 [20, 15, -30, 10, -30],
 [-22, -10, 42, -24, 24],
 [5, 7, -3, -4, -12]]

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


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

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


[User]
Find the rank of the matrix:
[[15, -23, 32, 35, 16],
 [-17, 11, -9, 7, -23],
 [33, -13, 4, -23, 35],
 [24, -18, 21, 36, 3],
 [-28, 22, -21, 8, -43]]

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


[User]
What is the rank of the matrix:
[[-18, 18, 19, 12, 21],
 [5, 17, -29, 3, -3],
 [-11, 4, -33, -33, 15],
 [14, -52, 40, 21, -39],
 [-12, -16, 15, -48, 27]]?

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


[User]
Calculate the rank of matrix A where A =
[[59, -31, -14, -17, 20],
 [13, -25, -38, -13, 12],
 [12, -4, 18, 3, 0],
 [-50, -9, -20, 8, -9],
 [-53, 30, 28, 20, -21]]

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


[User]
What is the rank of the matrix:
[[9, -35, -69, -63, -8],
 [-5, 6, 15, 10, 21],
 [8, 18, 39, 37, -29],
 [-8, 26, 48, 46, 2],
 [0, 12, 27, 23, 1]]?

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


[User]
What is the rank of the matrix:
[[2, 14, -50, -8, 0],
 [5, -35, 5, 30, -50],
 [-7, 29, -5, -14, 30],
 [-9, 18, 16, 1, 15],
 [-10, 30, -6, -4, 20]]?

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


[User]
Calculate the rank of matrix A where A =
[[4, 64, 19, 13, -13],
 [5, -21, 23, 8, -6],
 [11, -15, -7, -48, -19],
 [10, -29, 0, 17, 22],
 [37, 12, 46, -40, -43]]

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


[User]
Find the rank of the matrix:
[[24, 24, -4, -24, 16],
 [36, 36, -6, -36, 24],
 [-6, -6, 1, 6, -4],
 [-12, -12, 2, 12, -8],
 [18, 18, -3, -18, 12]]

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


[User]
Determine the rank of the following matrix:
[[24, 4, -28, 44, 8],
 [-18, -30, 36, -19, -38],
 [18, 66, -48, -24, 66],
 [29, 61, -58, -30, 79],
 [44, -26, -28, 9, 2]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, -2, -8, -6, 8],
 [0, 0, 0, 0, 0],
 [0, -4, -16, -12, 16],
 [0, 3, 12, 9, -12],
 [0, -4, -16, -12, 16]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[12, -30, -12, -24, -30],
 [-9, 30, 30, 21, 12],
 [9, -30, -30, -21, -12],
 [-3, 15, 24, 9, -3],
 [2, -5, -2, -4, -5]]

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


[User]
Find the rank of the matrix:
[[9, -14, -2, -7, 6],
 [-9, 18, 0, 9, -6],
 [15, -26, -2, -13, 10],
 [-15, 54, -12, 27, -10],
 [12, -36, 6, -18, 8]]

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


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

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


[User]
Determine the rank of the following matrix:
[[12, 6, 24, 36, 30],
 [4, 2, 8, 12, 10],
 [8, 4, 16, 24, 20],
 [4, 2, 8, 12, 10],
 [0, 0, 0, 0, 0]]

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


[User]
Determine the rank of the following matrix:
[[-37, -21, 34, 0, -10],
 [26, -24, -36, 12, -10],
 [-44, -6, 51, 18, -3],
 [33, -8, -18, -54, -32],
 [-24, 30, 12, 36, 42]]

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


[User]
Determine the rank of the following matrix:
[[-19, 26, 17, 17, -20],
 [-10, 26, -28, 24, 36],
 [-6, 3, 21, -1, -26],
 [30, -51, 3, -39, -6],
 [20, -25, -25, -15, 30]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[46, 28, -21, 22, -30],
 [-46, -28, 21, -22, 30],
 [20, 10, 5, 15, 0],
 [-14, -6, -10, -13, -6],
 [-28, -18, 19, -11, 24]]

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


[User]
Calculate the rank of matrix A where A =
[[0, 34, -13, -9, -11],
 [0, 28, -23, 6, 1],
 [-3, -12, 25, -17, -4],
 [18, -16, -18, 18, -28],
 [18, -16, -18, 18, -28]]

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


[User]
Find the rank of the matrix:
[[11, -2, 20, -22, 4],
 [-19, -16, -3, 20, -23],
 [3, -14, 10, 14, 2],
 [-7, -3, 7, -14, -15],
 [-14, -11, 9, -8, -25]]

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


[User]
Determine the rank of the following matrix:
[[0, -6, 6, -30, -24],
 [0, -4, 4, -20, -16],
 [0, -4, 4, -20, -16],
 [0, -1, 1, -5, -4],
 [0, -5, 5, -25, -20]]

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


[User]
Calculate the rank of matrix A where A =
[[20, 6, -2, 16, 16],
 [-22, -3, 4, -11, -17],
 [-14, 3, 5, 2, -10],
 [-4, -30, -14, -56, -8],
 [-8, -24, -10, -46, -10]]

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


[User]
Find the rank of the matrix:
[[-12, 0, 10, 6, -8],
 [-12, 0, 10, 6, -8],
 [-30, 0, 25, 15, -20],
 [30, 0, -25, -15, 20],
 [-30, 0, 25, 15, -20]]

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


[User]
Calculate the rank of matrix A where A =
[[-30, -18, -12, 6, -36],
 [0, 0, 0, 0, 0],
 [-25, -15, -10, 5, -30],
 [10, 6, 4, -2, 12],
 [15, 9, 6, -3, 18]]

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


[User]
Find the rank of the matrix:
[[18, -6, 2, 24, 20],
 [28, 24, 12, 4, 0],
 [-18, -9, -6, -9, -6],
 [-19, -12, -7, -7, -4],
 [-30, -15, -10, -15, -10]]

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


[User]
Calculate the rank of matrix A where A =
[[48, 24, -2, 34, 24],
 [33, -12, -20, 32, 4],
 [-8, -12, -11, -3, -20],
 [-16, -9, 66, -29, 2],
 [-65, -27, 31, -49, 18]]

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


[User]
Find the rank of the matrix:
[[12, -28, -41, 16, -50],
 [22, 9, 18, -10, -6],
 [-36, -15, -60, 24, 12],
 [9, -15, 41, -62, -21],
 [-6, 38, 15, -2, 60]]

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


[User]
Find the rank of the matrix:
[[30, 20, 20, 30, 5],
 [-12, -2, -2, 3, 13],
 [6, -10, -10, -29, -34],
 [-36, -24, -24, -36, -6],
 [-36, -14, -14, -11, 19]]

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


[User]
Find the rank of the matrix:
[[24, -60, -61, -17, 42],
 [24, 35, 44, 10, -5],
 [12, 12, 2, -12, 6],
 [24, -15, -15, -35, 41],
 [45, 8, 6, 5, 12]]

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


[User]
What is the rank of the matrix:
[[21, 52, 15, 10, 2],
 [13, -16, 6, -19, 10],
 [19, -8, -27, -2, 20],
 [-14, -48, -60, 10, 12],
 [-15, -60, 0, -25, 0]]?

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


[User]
Determine the rank of the following matrix:
[[39, 3, -25, -20, -32],
 [24, 28, 22, 30, -38],
 [9, 41, 24, 110, -6],
 [-13, 25, 43, 55, -19],
 [-15, -5, 16, -15, -33]]

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


[User]
Calculate the rank of matrix A where A =
[[-5, -43, -20, 19, -29],
 [25, -17, -16, -8, 0],
 [20, 20, 4, -19, 21],
 [-40, 16, 20, 17, -7],
 [40, -16, -20, -17, 7]]

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


[User]
What is the rank of the matrix:
[[-6, -18, -24, -36, -6],
 [2, 6, 8, 12, 2],
 [4, 12, 16, 24, 4],
 [2, 6, 8, 12, 2],
 [6, 18, 24, 36, 6]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-8, 17, -10, 0, 45],
 [-31, 22, -38, -33, 53],
 [-26, -22, -24, -24, -16],
 [-35, 2, -38, -33, 29],
 [9, 15, 4, -6, -4]]

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


[User]
Calculate the rank of matrix A where A =
[[-6, 7, 0, 7, -3],
 [28, -34, -12, -18, 2],
 [-20, 25, 15, 5, 5],
 [16, -20, -12, -4, -4],
 [8, -11, -15, 9, -11]]

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


[User]
Calculate the rank of matrix A where A =
[[-31, 36, 13, -23, -40],
 [-24, 10, 26, -12, -46],
 [45, -45, 32, 7, 13],
 [2, 13, -5, -4, -3],
 [-9, -18, 11, 1, 7]]

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


[User]
Find the rank of the matrix:
[[-4, 8, 10, 10, -4],
 [2, -4, -5, -5, 2],
 [10, -20, -25, -25, 10],
 [2, -4, -5, -5, 2],
 [2, -4, -5, -5, 2]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[9, -27, 2, 17, 12],
 [0, 36, -10, -4, -6],
 [-5, 11, 0, -9, -6],
 [-6, 24, -3, -12, -9],
 [-4, -20, 8, -4, 0]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[10, 1, 16, -7, 10],
 [22, -2, 38, 0, 36],
 [7, -2, 13, 5, 16],
 [-13, 2, -23, -3, -24],
 [11, 2, 17, -11, 8]]

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


[User]
Find the rank of the matrix:
[[0, 4, -3, -5, -4],
 [0, -24, 18, 30, 24],
 [0, -8, 6, 10, 8],
 [0, 0, 0, 0, 0],
 [0, -16, 12, 20, 16]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[22, 2, 39, 16, 19],
 [-8, -25, -2, 51, 46],
 [15, 1, -10, -46, -34],
 [-33, -12, -51, 15, 6],
 [-48, 22, -32, -36, -49]]

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


[User]
Calculate the rank of matrix A where A =
[[-30, -18, -12, -6, 6],
 [-14, -9, -10, -8, -2],
 [1, 0, -4, -5, -5],
 [30, 15, -10, -20, -30],
 [25, 12, -12, -21, -29]]

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


[User]
Determine the rank of the following matrix:
[[9, 12, -9, 15, -15],
 [-3, -4, 3, -5, 5],
 [3, 4, -3, 5, -5],
 [0, 0, 0, 0, 0],
 [-18, -24, 18, -30, 30]]

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


[User]
Find the rank of the matrix:
[[-9, -2, -3, -8, -4],
 [-12, 16, -6, -8, -22],
 [-15, -22, -3, -16, 10],
 [9, 30, 0, 12, -21],
 [-13, -6, -4, -12, -3]]

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


[User]
Calculate the rank of matrix A where A =
[[-70, 1, 28, -27, -6],
 [-15, -27, 19, 0, -7],
 [-60, 44, 24, 0, -22],
 [15, -29, -18, 39, 16],
 [-30, -10, 37, 5, -27]]

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


[User]
What is the rank of the matrix:
[[-18, 4, 17, 9, 25],
 [-15, -20, 9, -16, 1],
 [91, 52, 14, 12, 14],
 [-11, -7, -45, 32, -23],
 [100, 55, 33, 3, 27]]?

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


[User]
Determine the rank of the following matrix:
[[-28, -11, 8, -50, 47],
 [45, -32, 52, -23, -17],
 [0, 46, 4, 43, -33],
 [19, 0, 46, 1, -23],
 [10, -44, -36, -29, 29]]

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


[User]
Determine the rank of the following matrix:
[[-9, 0, 23, -3, 12],
 [8, 29, -22, 39, -10],
 [0, 40, 12, 24, 5],
 [-8, -42, -4, -6, 2],
 [-5, -25, -7, 6, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[-30, -36, 6, 30, -24],
 [-5, -6, 1, 5, -4],
 [0, 0, 0, 0, 0],
 [10, 12, -2, -10, 8],
 [10, 12, -2, -10, 8]]

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


[User]
What is the rank of the matrix:
[[8, 7, 3, -19, 7],
 [-34, -16, 2, 40, -30],
 [-17, -4, 3, 7, -16],
 [-1, -2, 3, 8, 1],
 [21, 6, 3, -9, 22]]?

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


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

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


[User]
Find the rank of the matrix:
[[22, -2, 10, 4, -4],
 [32, -37, 15, -25, 54],
 [63, -18, 30, 3, 15],
 [14, -22, 4, -22, 23],
 [34, -23, 17, -9, 34]]

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


[User]
Determine the rank of the following matrix:
[[12, 5, -25, -4, 9],
 [-40, -32, 37, 21, -1],
 [-1, 5, 15, -30, -17],
 [-24, -9, 30, -13, 6],
 [26, 12, -45, -19, 5]]

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


[User]
Calculate the rank of matrix A where A =
[[-4, -5, -3, -6, 0],
 [-16, -20, -12, -24, 0],
 [-12, -15, -9, -18, 0],
 [-20, -25, -15, -30, 0],
 [16, 20, 12, 24, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[-5, -37, -12, 55, -70],
 [-3, -31, -16, 44, -53],
 [-4, -16, 4, 27, -39],
 [-1, -41, -12, 44, -59],
 [6, 6, 48, -45, 27]]

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


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

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


[User]
Determine the rank of the following matrix:
[[32, 18, -10, -16, -32],
 [6, 18, 12, -36, 9],
 [30, -3, 24, 21, -22],
 [18, 0, -36, 25, 26],
 [42, 12, 0, 1, -42]]

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


[User]
Find the rank of the matrix:
[[16, 34, 4, -36, 19],
 [-4, -26, -6, 14, -11],
 [4, -16, -6, -2, -4],
 [28, 28, -2, -54, 22],
 [4, 40, 10, -18, 16]]

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


[User]
Determine the rank of the following matrix:
[[21, 32, 30, 39, 16],
 [-12, 56, 23, 41, 31],
 [-24, 52, 13, 31, 29],
 [21, 2, 11, 14, -3],
 [-27, -34, -45, -42, -27]]

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


[User]
Find the rank of the matrix:
[[0, -8, 16, -4, -20],
 [0, 10, -20, 5, 25],
 [0, -10, 20, -5, -25],
 [0, 10, -20, 5, 25],
 [0, -4, 8, -2, -10]]

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


[User]
Determine the rank of the following matrix:
[[10, -14, -5, -15, 21],
 [-4, 20, 2, -6, 6],
 [2, 2, -1, -7, 9],
 [-4, 2, 2, 9, -12],
 [10, 16, -5, -40, 51]]

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


[User]
Calculate the rank of matrix A where A =
[[51, 36, -49, -32, 1],
 [-8, 22, 22, -14, -63],
 [-59, -34, 47, 14, 6],
 [24, 4, -8, -40, -6],
 [-44, -26, 67, -26, -48]]

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


[User]
What is the rank of the matrix:
[[47, 9, -4, -26, -29],
 [48, 26, 0, -27, -28],
 [-48, -7, 2, 14, 21],
 [5, -34, 1, 27, 12],
 [16, 12, 4, 41, 30]]?

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


[User]
Determine the rank of the following matrix:
[[8, -40, -70, 24, -1],
 [15, -6, -20, 24, 24],
 [-48, 4, 20, -66, -74],
 [1, -39, -75, 24, 9],
 [22, 29, 27, 20, 39]]

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


[User]
Determine the rank of the following matrix:
[[-35, 14, -34, -12, -13],
 [21, -18, 34, 25, -5],
 [-4, 8, -20, -15, 0],
 [-35, 14, -34, -12, -13],
 [-45, 18, -42, -15, -15]]

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


[User]
Find the rank of the matrix:
[[5, 9, 29, 0, 21],
 [-1, 12, 6, -15, -27],
 [-4, -21, -35, 15, 6],
 [1, -42, -22, 9, 9],
 [2, -18, 2, -12, -18]]

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


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

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


[User]
Determine the rank of the following matrix:
[[15, -20, 20, 20, -30],
 [-15, 20, -20, -20, 30],
 [-9, 12, -12, -12, 18],
 [18, -24, 24, 24, -36],
 [15, -20, 20, 20, -30]]

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


[User]
Determine the rank of the following matrix:
[[0, 0, 0, 0, 0],
 [-5, 20, -5, -10, 25],
 [0, 0, 0, 0, 0],
 [6, -24, 6, 12, -30],
 [-2, 8, -2, -4, 10]]

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


[User]
Calculate the rank of matrix A where A =
[[-13, -4, -22, -14, 17],
 [-32, 36, -6, 29, 2],
 [-83, 38, -31, 30, 36],
 [-48, -2, 16, 8, 16],
 [-10, 28, -23, -5, 1]]

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


[User]
Determine the rank of the following matrix:
[[5, 58, -25, 16, -38],
 [-3, 21, -24, -4, -9],
 [-8, 14, -31, -14, -6],
 [-4, 7, -31, -10, 11],
 [-14, 2, -24, -24, -10]]

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


[User]
Determine the rank of the following matrix:
[[-6, -18, 0, -9, -6],
 [0, 0, 0, 0, 0],
 [8, 24, 0, 12, 8],
 [-12, -36, 0, -18, -12],
 [12, 36, 0, 18, 12]]

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


[User]
Find the rank of the matrix:
[[3, -1, -3, 2, 0],
 [-12, 4, 12, -8, 0],
 [3, -1, -3, 2, 0],
 [-15, 5, 15, -10, 0],
 [-3, 1, 3, -2, 0]]

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


[User]
Determine the rank of the following matrix:
[[-32, -26, -46, 6, 18],
 [26, 38, 61, -24, -9],
 [-20, -20, -34, 8, 10],
 [-28, -34, -56, 18, 12],
 [-18, 6, 3, -20, 17]]

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


[User]
What is the rank of the matrix:
[[-7, -31, 60, -7, -35],
 [-25, 7, -12, 31, 11],
 [-19, 24, -33, 23, 19],
 [-11, -32, 57, 1, -31],
 [-15, 17, 6, -5, -13]]?

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


[User]
What is the rank of the matrix:
[[-4, 28, 2, -8, 30],
 [-38, -3, -34, -34, -45],
 [10, -27, 6, 14, -21],
 [28, -16, 36, 32, 18],
 [32, -13, 36, 34, 24]]?

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


[User]
Determine the rank of the following matrix:
[[-8, 26, 80, -10, -18],
 [-28, 52, 84, -22, -14],
 [0, -22, -26, 36, 49],
 [2, 21, 60, -21, -35],
 [4, -7, 4, 21, 29]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[4, 14, 16, -2, -24],
 [-6, -36, -4, -22, 6],
 [2, -8, 28, -26, -42],
 [3, 33, -18, 36, 27],
 [-1, 10, -22, 23, 33]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-4, -3, -1, 5, -1],
 [-4, -3, -1, 5, -1],
 [-16, -12, -4, 20, -4],
 [24, 18, 6, -30, 6],
 [-8, -6, -2, 10, -2]]

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


[User]
Find the rank of the matrix:
[[-11, 71, 21, -25, -52],
 [-20, 4, -24, 4, -36],
 [-27, 39, 1, -33, -19],
 [-26, -8, -21, 0, -53],
 [-27, -13, 2, -29, -15]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[24, 24, 12, 15, 33],
 [-38, -36, -21, -25, -50],
 [16, 0, 24, 20, 4],
 [-8, 0, -12, -10, -2],
 [30, 28, 17, 20, 39]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[6, -18, 12, 30, -12],
 [-24, -8, -3, -50, -2],
 [4, 4, -1, 6, 2],
 [29, 9, 4, 61, 2],
 [10, 18, -7, 8, 10]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-2, 10, 11, 26, -29],
 [-34, -28, 68, -4, -14],
 [6, -6, -22, -10, 4],
 [28, 12, -29, 12, -4],
 [4, -32, 11, -16, -2]]

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


[User]
Calculate the rank of matrix A where A =
[[24, -18, 36, -54, -48],
 [17, -18, 29, -19, -13],
 [-17, 15, -27, 30, 25],
 [-11, 12, -19, 11, 7],
 [-9, 6, -13, 23, 21]]

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


[User]
Determine the rank of the following matrix:
[[-5, -35, -5, -30, 15],
 [19, -51, -5, -6, 15],
 [-11, 14, 2, -6, 1],
 [11, -17, 1, 6, 11],
 [-8, 26, 14, 12, 28]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[6, 6, 4, 11, 0],
 [-2, -5, 1, -5, 3],
 [14, -19, 35, 11, 33],
 [-6, -6, -4, -11, 0],
 [-30, 6, -48, -39, -36]]

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


[User]
Find the rank of the matrix:
[[-6, 12, -9, -14, 12],
 [-25, -11, -19, -23, -16],
 [-10, -14, -11, -22, -34],
 [12, 6, -3, -24, -24],
 [-3, -12, -4, -11, -27]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[6, 40, 4, -26, 33],
 [-13, -7, -17, 7, 0],
 [8, -4, 4, 4, 16],
 [-17, 25, -29, 37, -19],
 [-7, -18, -7, -25, 32]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-27, -36, 23, -13, -11],
 [7, 3, 6, 28, 12],
 [1, 3, -4, -6, -2],
 [20, 15, 5, 55, 25],
 [19, 30, -25, -9, 1]]

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


[User]
Determine the rank of the following matrix:
[[6, -12, -12, 30, 12],
 [5, -10, -10, 25, 10],
 [-3, 6, 6, -15, -6],
 [4, -8, -8, 20, 8],
 [0, 0, 0, 0, 0]]

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


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

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


[User]
What is the rank of the matrix:
[[10, -25, 39, -21, -21],
 [3, 4, 69, -32, -8],
 [29, -12, 3, -40, -32],
 [-13, -19, 18, 19, 5],
 [-5, 22, -69, 26, 18]]?

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


[User]
Determine the rank of the following matrix:
[[29, -15, -27, 18, -8],
 [49, -25, -39, 22, -3],
 [-32, -12, 15, -9, 27],
 [8, -24, -15, 9, 15],
 [-12, -6, 12, -12, 23]]

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


[User]
What is the rank of the matrix:
[[-6, 11, 15, -13, -8],
 [-54, 23, 51, -49, 22],
 [-26, 18, 16, 26, 40],
 [-6, 15, -5, 3, -24],
 [-20, 35, 21, -6, -22]]?

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


[User]
What is the rank of the matrix:
[[0, -8, -23, -2, -9],
 [0, 13, 39, 11, 46],
 [0, -5, 5, 6, 31],
 [0, 2, 3, 4, 15],
 [0, 20, 22, 6, 12]]?

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


[User]
Determine the rank of the following matrix:
[[-12, -17, 1, 6, 6],
 [-3, -8, 19, -21, 9],
 [-3, -1, -16, 21, -5],
 [-24, -38, 22, -12, 20],
 [6, 11, -13, 12, -8]]

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


[User]
Find the rank of the matrix:
[[-32, -16, 18, -5, -14],
 [17, 19, -3, 2, -7],
 [-7, -5, 3, -1, -1],
 [-18, 10, 22, -4, -34],
 [18, -10, -22, 4, 34]]

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


[User]
Calculate the rank of matrix A where A =
[[-6, -30, 24, 0, 36],
 [4, 10, -11, 2, -18],
 [20, 0, -5, 40, 30],
 [-16, 0, 4, -32, -24],
 [-3, -55, 27, 4, 24]]

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


[User]
Determine the rank of the following matrix:
[[-27, 18, -17, 41, 3],
 [33, 6, 13, -5, 15],
 [-6, -15, -53, 21, -45],
 [-2, 3, 25, 4, -17],
 [-26, -5, -43, 12, -1]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[10, -2, -1, 6, 11],
 [30, -23, 49, 36, -30],
 [22, -10, 6, 24, 14],
 [4, -2, -12, 12, 18],
 [16, -13, 21, 24, -10]]

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


[User]
Find the rank of the matrix:
[[6, -21, -37, -24, -19],
 [13, 22, -7, 41, 11],
 [-26, -26, 23, -40, -10],
 [6, 18, 10, 22, 12],
 [8, -1, -1, -26, -1]]

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


[User]
Find the rank of the matrix:
[[1, -3, -6, -4, -5],
 [4, -12, -24, -16, -20],
 [-4, 12, 24, 16, 20],
 [-5, 15, 30, 20, 25],
 [5, -15, -30, -20, -25]]

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


[User]
Determine the rank of the following matrix:
[[-53, 71, -62, 40, 46],
 [10, -13, -2, -26, -17],
 [0, -9, 14, 2, -11],
 [-6, 5, -6, 0, -1],
 [-39, 19, -18, 3, -23]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-7, -21, -14, 33, 20],
 [60, 12, 38, -43, -25],
 [-48, 42, -8, -14, -20],
 [25, 0, 10, 20, 0],
 [-16, 15, 2, -44, -15]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-22, 14, -12, -2, 4],
 [12, -28, 60, 38, 22],
 [-15, 11, -12, -4, 1],
 [-15, 27, -54, -33, -18],
 [-7, 19, -42, -27, -16]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[27, -6, -24, 30, 22],
 [-3, 39, 6, -30, 12],
 [-1, -8, 0, 8, -3],
 [14, 7, -10, -22, 7],
 [36, 9, -30, 18, 33]]

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


[User]
Calculate the rank of matrix A where A =
[[-14, 36, -54, 14, 18],
 [22, -36, 6, 2, 30],
 [-18, 24, 16, -8, -40],
 [3, -18, 51, -15, -33],
 [-12, 30, -43, 11, 13]]

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


[User]
What is the rank of the matrix:
[[11, 35, -34, 0, 34],
 [3, 20, -23, 1, 13],
 [3, 21, -22, 0, 15],
 [-2, -26, 28, 0, -16],
 [8, -24, 26, 2, -3]]?

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


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

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


[User]
Find the rank of the matrix:
[[18, 4, -12, -6, -22],
 [-21, 6, -17, 2, -24],
 [-12, -3, -13, 3, 22],
 [-24, 5, -17, 3, -18],
 [18, 12, -40, -10, -58]]

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


[User]
Calculate the rank of matrix A where A =
[[15, 0, -19, 2, -13],
 [21, -15, -39, 3, -36],
 [0, 10, 23, -16, 13],
 [-45, -55, 15, -9, -26],
 [0, -5, -18, 15, -7]]

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


[User]
What is the rank of the matrix:
[[-7, 2, -6, 19, 9],
 [26, 4, -2, -42, -22],
 [9, 2, -2, -13, -7],
 [26, 20, -36, -2, -6],
 [5, -6, 14, -25, -11]]?

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


[User]
Determine the rank of the following matrix:
[[-43, -18, 23, -67, -19],
 [7, 26, -14, 28, 6],
 [-12, 4, -19, -25, -41],
 [15, 27, -26, -17, -3],
 [75, 20, -74, 26, -32]]

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


[User]
Determine the rank of the following matrix:
[[10, -7, -1, -22, 8],
 [-20, 1, 8, 26, -4],
 [-50, -30, 35, 20, 20],
 [20, 25, -20, 10, -20],
 [26, 0, -11, -32, 4]]

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


[User]
Calculate the rank of matrix A where A =
[[-34, -2, 13, 9, 11],
 [-5, 4, 25, 44, -26],
 [40, 1, -14, -34, 7],
 [9, 14, -7, -14, -46],
 [34, 12, -66, -62, -46]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[5, -21, 32, 28, 10],
 [9, 9, -23, -12, -21],
 [-25, -3, 26, 4, 40],
 [23, -21, 17, 28, -17],
 [14, 6, -22, -8, -26]]

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


[User]
What is the rank of the matrix:
[[-15, -36, 39, 19, -3],
 [-1, 12, 22, 2, 11],
 [-8, -58, -6, 55, -16],
 [-8, -2, 25, -38, 6],
 [1, 10, 16, 1, 17]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[2, -8, -28, -10, 6],
 [-27, -29, -7, 40, -19],
 [-7, -28, 8, 14, -17],
 [8, -5, 18, -20, -10],
 [14, -34, -36, 8, 14]]

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


[User]
What is the rank of the matrix:
[[-24, 21, 2, 5, -40],
 [-27, 27, 3, 4, -35],
 [6, 9, 4, -12, 57],
 [12, -27, 2, -14, -5],
 [-15, 18, -7, 28, -44]]?

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


[User]
Determine the rank of the following matrix:
[[-6, 24, -30, -30, 18],
 [-6, 24, -30, -30, 18],
 [0, 0, 0, 0, 0],
 [0, 0, 0, 0, 0],
 [-2, 8, -10, -10, 6]]

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


[User]
Calculate the rank of matrix A where A =
[[33, 9, 23, 19, -14],
 [57, -26, 59, 30, 0],
 [4, 75, -56, -3, -22],
 [-12, 26, 4, 6, -36],
 [-8, -76, 42, -4, 34]]

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


[User]
Find the rank of the matrix:
[[20, -18, 2, -22, 4],
 [5, 3, 23, -8, -4],
 [25, -15, 25, -30, 0],
 [-5, 12, 22, 3, -6],
 [-40, 30, -22, 46, -4]]

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


[User]
Determine the rank of the following matrix:
[[-4, 4, 6, 5, -23],
 [-16, 6, -6, 15, -27],
 [0, 0, 0, 0, 0],
 [16, -2, 18, -13, 1],
 [-6, -1, -12, 4, 11]]

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


[User]
Determine the rank of the following matrix:
[[2, -20, 16, 0, -22],
 [10, -8, 12, 0, -10],
 [-5, 4, -6, 0, 5],
 [9, -44, 38, 0, -49],
 [41, 4, 22, 0, -1]]

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


[User]
Calculate the rank of matrix A where A =
[[-2, 36, -18, -2, -8],
 [9, 33, 1, -5, -18],
 [-22, -9, -22, 4, 18],
 [-32, -9, -16, 0, 14],
 [-4, -48, 44, -5, -2]]

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


[User]
What is the rank of the matrix:
[[-42, -16, -12, 4, 2],
 [19, 13, 2, -9, -21],
 [-6, 4, -6, -4, -14],
 [-22, -55, 30, 9, 44],
 [-1, 30, -22, -16, -55]]?

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


[User]
Calculate the rank of matrix A where A =
[[-44, 6, 2, -18, -42],
 [-50, 21, 15, -7, -51],
 [39, 0, 3, 21, 36],
 [-38, 30, 24, 8, -42],
 [-16, 27, 23, 17, -21]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[7, 7, -2, -18, 17],
 [25, -16, -16, -3, -12],
 [-12, -26, 18, 18, -4],
 [-24, 7, 20, 3, 15],
 [17, 24, -30, -3, -22]]

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


[User]
Find the rank of the matrix:
[[7, 3, -16, -5, -38],
 [-9, 21, -8, -33, 2],
 [6, -15, -21, 30, 9],
 [-25, -11, 28, -3, 44],
 [5, 22, -5, -32, -38]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[30, 29, -14, 18, 27],
 [-1, -6, 0, -4, -4],
 [32, -2, -4, 4, 10],
 [-31, -16, 28, -3, -18],
 [-40, 35, 22, 24, 9]]

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


[User]
Calculate the rank of matrix A where A =
[[46, 4, -20, -24, 0],
 [-2, 12, 0, -2, 10],
 [-17, 18, 6, 4, 16],
 [7, -14, -2, 0, -12],
 [31, 10, -14, -18, 6]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[3, 3, 4, 6, 2],
 [10, 10, 16, 32, 18],
 [20, 20, 16, -8, -32],
 [-1, -1, 0, 4, 5],
 [-20, -20, -20, -10, 15]]

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


[User]
What is the rank of the matrix:
[[12, 8, 0, 2, 2],
 [30, 20, 0, 5, 5],
 [-24, -16, 0, -4, -4],
 [6, 4, 0, 1, 1],
 [6, 4, 0, 1, 1]]?

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


[User]
Determine the rank of the following matrix:
[[3, -5, 10, 25, 14],
 [-9, 38, -33, 39, 3],
 [25, -36, 3, -6, 13],
 [3, -17, 13, -58, -6],
 [2, 4, -6, -46, 10]]

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


[User]
Determine the rank of the following matrix:
[[-18, -12, 6, -6, -30],
 [0, 0, 0, 0, 0],
 [-15, -10, 5, -5, -25],
 [-15, -10, 5, -5, -25],
 [12, 8, -4, 4, 20]]

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


[User]
Find the rank of the matrix:
[[-18, 3, 18, 6, 0],
 [12, -2, -12, -4, 0],
 [24, -4, -24, -8, 0],
 [-30, 5, 30, 10, 0],
 [30, -5, -30, -10, 0]]

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


[User]
Find the rank of the matrix:
[[7, -30, 13, 27, 8],
 [-28, 25, -13, 35, 2],
 [24, -12, -3, 66, 36],
 [-33, 36, -12, -33, -24],
 [-15, 46, -27, 41, 16]]

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


[User]
Determine the rank of the following matrix:
[[4, -36, -3, -23, 23],
 [-18, -12, -9, -16, 11],
 [-6, -48, -3, -34, 29],
 [14, 30, -11, 21, -9],
 [14, 18, 3, 17, -11]]

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


[User]
Calculate the rank of matrix A where A =
[[-18, 66, 8, -33, 9],
 [8, -31, 27, 22, -33],
 [-12, -11, -25, 5, 19],
 [25, -33, -33, -13, 6],
 [11, -62, -14, 16, -18]]

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


[User]
What is the rank of the matrix:
[[10, -10, -2, -10, 10],
 [-5, 5, 1, 5, -5],
 [-30, 30, 6, 30, -30],
 [0, 0, 0, 0, 0],
 [-15, 15, 3, 15, -15]]?

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


[User]
What is the rank of the matrix:
[[1, 18, 11, 22, -32],
 [26, 72, -32, 8, 26],
 [-15, 0, -10, 0, -25],
 [13, 18, 19, 22, -12],
 [2, -6, -4, -9, 17]]?

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


[User]
Find the rank of the matrix:
[[43, 1, -19, 8, -2],
 [-2, -35, -25, -18, 22],
 [-60, 18, 20, -8, -15],
 [-2, -18, 1, 11, 16],
 [11, -26, -49, -39, 8]]

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


[User]
Find the rank of the matrix:
[[54, -31, 13, -42, -7],
 [-54, -24, -33, 42, 75],
 [-31, -6, -14, 30, 37],
 [-32, 23, -22, 44, 16],
 [-85, 30, -19, 56, 25]]

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


[User]
What is the rank of the matrix:
[[20, 16, 41, -37, 24],
 [-16, 8, -34, 22, -28],
 [-20, -12, 25, 0, 5],
 [-15, -7, -20, 20, -15],
 [37, 45, 4, -36, 5]]?

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


[User]
Calculate the rank of matrix A where A =
[[28, 28, 39, 18, -25],
 [-20, -20, -15, 30, -15],
 [9, 9, 0, -36, 24],
 [17, 17, 24, 12, -16],
 [-11, -11, -15, -6, 9]]

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


[User]
Calculate the rank of matrix A where A =
[[29, -4, 12, 33, 0],
 [17, -23, 32, 31, 11],
 [-3, 26, -43, -29, -7],
 [-35, 8, -8, -31, -8],
 [33, -1, 3, 29, 2]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-16, 0, -12, -20, -16],
 [-20, 0, -15, -25, -20],
 [24, 0, 18, 30, 24],
 [-16, 0, -12, -20, -16],
 [12, 0, 9, 15, 12]]

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


[User]
Determine the rank of the following matrix:
[[7, -11, 15, 21, 33],
 [12, 12, -28, 18, -30],
 [-22, 33, -23, -18, -50],
 [6, -28, 28, 24, 53],
 [18, -13, 3, 38, 26]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, 36, -36, -6, 0],
 [0, 36, -36, -6, 0],
 [0, -24, 24, 4, 0],
 [0, -18, 18, 3, 0],
 [0, 12, -12, -2, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[4, -14, 21, 42, 17],
 [71, 26, 53, -32, -65],
 [-17, 31, -19, -26, -1],
 [-26, -35, -32, 2, 20],
 [59, 6, 49, -8, -45]]

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


[User]
Determine the rank of the following matrix:
[[25, -4, -5, 14, 3],
 [-30, 9, -19, -37, 7],
 [10, -16, 38, 62, -28],
 [46, -7, -47, 14, 12],
 [72, -18, -6, 63, -3]]

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


[User]
What is the rank of the matrix:
[[8, 24, -20, 10, 48],
 [12, 48, -32, -1, 38],
 [-30, -21, 16, 23, 8],
 [0, 12, 0, -3, 12],
 [-6, -39, 28, -9, -50]]?

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


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

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


[User]
Find the rank of the matrix:
[[-55, -16, -2, 5, 16],
 [18, -10, 16, 46, 3],
 [6, -6, -16, -6, -35],
 [-1, 10, 18, 3, 39],
 [-7, 6, -12, -29, -8]]

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


[User]
Determine the rank of the following matrix:
[[-8, 0, 12, -2, -12],
 [4, 0, -6, 1, 6],
 [24, 0, -36, 6, 36],
 [-20, 0, 30, -5, -30],
 [4, 0, -6, 1, 6]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[13, 1, -7, 11, -22],
 [-19, -3, 30, -31, 31],
 [7, 7, 22, -13, -7],
 [30, 38, -46, 50, -24],
 [23, 47, -56, 55, -5]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-30, -58, -15, -1, -7],
 [-6, -22, -6, -4, -13],
 [8, 18, 2, 11, 5],
 [26, 20, -11, 10, 26],
 [-6, -16, 5, -16, -36]]

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


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

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


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

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


[User]
Determine the rank of the following matrix:
[[-10, 10, 25, -20, 15],
 [4, -4, -10, 8, -6],
 [-6, 6, 15, -12, 9],
 [8, -8, -20, 16, -12],
 [12, -12, -30, 24, -18]]

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


[User]
What is the rank of the matrix:
[[26, 21, 35, -36, -1],
 [38, -6, 40, 54, -6],
 [59, 25, 28, 10, -29],
 [18, 27, -29, -8, -19],
 [34, 28, -54, 0, -60]]?

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


[User]
Find the rank of the matrix:
[[-11, 10, -9, -8, 14],
 [1, -14, -9, 4, 2],
 [-26, 12, -30, -16, 36],
 [-18, 28, -6, -16, 20],
 [21, -38, 3, 20, -22]]

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


[User]
Determine the rank of the following matrix:
[[12, -8, -24, -20, -8],
 [-12, 8, 24, 20, 8],
 [0, 0, 0, 0, 0],
 [-3, 2, 6, 5, 2],
 [-6, 4, 12, 10, 4]]

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


[User]
Calculate the rank of matrix A where A =
[[14, 16, -4, 14, 40],
 [14, 4, -8, -28, -4],
 [26, 22, -10, -1, 46],
 [-4, 4, 4, 26, 20],
 [-7, 4, 6, 35, 24]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[4, -10, 7, 6, -7],
 [6, -20, 13, 4, -23],
 [-2, 2, -2, -6, -4],
 [-4, 20, -12, 4, 32],
 [-6, 12, -9, -12, 3]]

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


[User]
Determine the rank of the following matrix:
[[-2, -12, 8, 0, 18],
 [1, -19, -6, 8, 0],
 [-33, -3, 26, -16, 14],
 [43, 28, -8, 4, 15],
 [5, 25, 10, -10, 10]]

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


[User]
Calculate the rank of matrix A where A =
[[24, 4, 4, -10, 24],
 [63, 12, -27, -6, 54],
 [-53, 2, 18, -4, -24],
 [-29, 6, -16, 8, -12],
 [7, 24, -25, -10, 42]]

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


[User]
Find the rank of the matrix:
[[-8, -29, 18, 9, 30],
 [21, 26, -6, 11, 42],
 [25, 33, -11, 6, 18],
 [23, 32, -12, 3, 6],
 [12, 30, -12, 6, 36]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-24, 20, -16, 4, -12],
 [30, -25, 20, -5, 15],
 [-12, 10, -8, 2, -6],
 [18, -15, 12, -3, 9],
 [18, -15, 12, -3, 9]]

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


[User]
Determine the rank of the following matrix:
[[0, 0, 0, -1, 5],
 [0, 0, 0, 5, -25],
 [0, 0, 0, 3, -15],
 [0, 0, 0, -4, 20],
 [0, 0, 0, -2, 10]]

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


[User]
Determine the rank of the following matrix:
[[-22, -32, -22, -17, -36],
 [28, 47, -14, 28, 52],
 [33, 11, -7, 33, 17],
 [-50, 31, 62, 25, 27],
 [2, 20, 20, 42, 23]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[28, 18, -28, 24, 30],
 [25, 15, -25, 25, 35],
 [-23, -15, 23, -19, -23],
 [-19, -15, 19, -7, 1],
 [-26, -18, 26, -18, -18]]

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


[User]
Find the rank of the matrix:
[[12, 6, -24, 6, -18],
 [8, -20, -8, -12, -16],
 [0, 0, 0, 0, 0],
 [-4, -14, 12, -10, 4],
 [2, 7, -6, 5, -2]]

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


[User]
What is the rank of the matrix:
[[-18, -43, -3, -19, -51],
 [-47, -5, 4, 5, 25],
 [26, 55, -34, 27, 20],
 [26, 4, -49, 28, -65],
 [-55, 34, -4, 28, 73]]?

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[User]
Calculate the rank of matrix A where A =
[[6, -14, 13, 6, 3],
 [6, 23, -7, 9, -3],
 [10, -16, -11, -22, -3],
 [-6, 15, 4, 14, 1],
 [-2, -21, -8, -24, -1]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[3, 4, 24, -37, 25],
 [2, -22, 8, -12, 14],
 [-5, -16, 19, 6, -39],
 [5, 10, 10, -32, 77],
 [-2, 24, 9, -4, 20]]

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


[User]
Find the rank of the matrix:
[[15, 0, 25, 20, -10],
 [18, 0, 30, 24, -12],
 [-12, 0, -20, -16, 8],
 [18, 0, 30, 24, -12],
 [-12, 0, -20, -16, 8]]

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


[User]
Determine the rank of the following matrix:
[[22, 35, -41, 19, -39],
 [-26, -42, 55, -24, 52],
 [9, 14, -6, 1, -16],
 [25, 38, -33, 21, -26],
 [-16, -25, 28, -15, 23]]

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


[User]
Find the rank of the matrix:
[[0, 0, 0, 0, 0],
 [-30, -25, -5, 30, 10],
 [-24, -20, -4, 24, 8],
 [24, 20, 4, -24, -8],
 [18, 15, 3, -18, -6]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[18, 15, 3, -3, 14],
 [22, -12, 34, -34, -32],
 [-32, -15, -17, 17, -6],
 [-15, -9, -6, 6, -6],
 [-18, 6, -24, 24, 20]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[3, -24, -42, 45, -3],
 [6, 7, 4, 2, 5],
 [0, 15, 24, -24, 3],
 [0, 15, 24, -24, 3],
 [-15, 0, 18, -33, -9]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[16, -16, -24, -20, 8],
 [-20, 20, 30, 25, -10],
 [-8, 8, 12, 10, -4],
 [12, -12, -18, -15, 6],
 [16, -16, -24, -20, 8]]

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


[User]
What is the rank of the matrix:
[[34, 12, 20, 28, -10],
 [-37, -10, -21, -19, -9],
 [-20, -4, -11, -5, -14],
 [13, 2, 7, 1, 13],
 [23, 10, 14, 26, -19]]?

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


[User]
Determine the rank of the following matrix:
[[32, -4, 44, -44, -12],
 [-3, -42, 35, 3, -33],
 [55, 10, 35, -37, -30],
 [21, -32, 57, -35, -11],
 [-15, 32, -5, -25, -32]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-5, 0, 0, 1, -20],
 [33, 21, -9, 30, 9],
 [41, 14, 40, -1, -39],
 [41, 18, 26, 9, -23],
 [-17, 27, 28, -39, 9]]

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


[User]
Determine the rank of the following matrix:
[[-11, -16, -46, -28, -30],
 [-10, 23, -13, -26, 13],
 [-34, -24, 0, -48, 12],
 [4, 9, -31, -18, -15],
 [-2, 52, 44, -24, 64]]

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


[User]
Determine the rank of the following matrix:
[[42, 15, 4, -40, 11],
 [-6, -35, 1, -26, -9],
 [14, 43, -6, 28, 15],
 [-4, 0, 17, 30, -18],
 [2, 47, 17, -26, 13]]

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


[User]
Determine the rank of the following matrix:
[[-8, -9, -14, -6, 24],
 [19, 0, 30, -10, -6],
 [35, 18, 16, -22, 0],
 [-7, 0, -28, -6, 24],
 [-18, 12, -60, 4, 20]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[5, 4, 48, -29, 35],
 [-27, 12, 27, -53, 44],
 [-9, 38, -46, -13, -2],
 [23, 8, 2, -3, 6],
 [-31, 10, 23, -59, 47]]

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


[User]
What is the rank of the matrix:
[[0, -32, -34, 32, 26],
 [6, -18, -21, 12, 9],
 [18, 10, 5, -28, -25],
 [3, -1, -2, -2, -2],
 [-13, 31, 37, -18, -13]]?

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


[User]
Determine the rank of the following matrix:
[[2, -4, 1, -3, 4],
 [16, -16, -6, 2, -12],
 [13, -14, -4, 0, -7],
 [-40, 40, 15, -5, 30],
 [-5, 6, 1, 1, 1]]

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


[User]
Calculate the rank of matrix A where A =
[[0, 24, 30, 0, 36],
 [20, -4, -2, -12, 20],
 [0, -8, -10, 0, -12],
 [-5, 27, 33, 3, 34],
 [-15, 5, 4, 9, -12]]

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


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

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


[User]
Find the rank of the matrix:
[[13, -16, 11, -15, -16],
 [-55, 32, -5, -1, 28],
 [-20, 44, -46, 12, 8],
 [2, 20, -30, -1, -10],
 [-28, 26, -13, 23, 30]]

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


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

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


[User]
Find the rank of the matrix:
[[2, 6, -3, -5, -4],
 [-4, -12, 6, 10, 8],
 [4, 12, -6, -10, -8],
 [0, 0, 0, 0, 0],
 [12, 36, -18, -30, -24]]

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


[User]
What is the rank of the matrix:
[[2, 0, 6, -4, -4],
 [4, 0, 12, -8, -8],
 [-4, 0, -12, 8, 8],
 [-6, 0, -18, 12, 12],
 [12, 0, 36, -24, -24]]?

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


[User]
Calculate the rank of matrix A where A =
[[5, 5, -15, -25, 5],
 [-5, -5, 15, 25, -5],
 [2, 2, -6, -10, 2],
 [-1, -1, 3, 5, -1],
 [-2, -2, 6, 10, -2]]

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


[User]
What is the rank of the matrix:
[[-12, -25, 8, -20, 18],
 [19, 23, 38, -20, 51],
 [12, -22, 16, 0, 4],
 [39, 11, 62, -20, 63],
 [15, -17, 34, -16, 33]]?

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


[User]
Calculate the rank of matrix A where A =
[[-37, 27, 40, 29, -27],
 [12, 60, -15, 42, 24],
 [69, 21, -48, 3, 75],
 [-10, 12, 31, 14, 0],
 [-38, -16, 34, -4, -40]]

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


[User]
Find the rank of the matrix:
[[-28, 6, -70, -35, 50],
 [-20, 38, -30, -67, 10],
 [11, 16, 9, -12, 9],
 [29, -4, 79, 34, -61],
 [7, -8, 5, 16, 5]]

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


[User]
Find the rank of the matrix:
[[-18, 36, 24, 24, 36],
 [6, -12, -8, -8, -12],
 [12, -24, -16, -16, -24],
 [-12, 24, 16, 16, 24],
 [-18, 36, 24, 24, 36]]

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


[User]
Find the rank of the matrix:
[[-18, 6, 0, 12, -15],
 [6, -2, 0, -4, 5],
 [30, -10, 0, -20, 25],
 [-30, 10, 0, 20, -25],
 [-18, 6, 0, 12, -15]]

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


[User]
Calculate the rank of matrix A where A =
[[-35, -47, 43, -15, -25],
 [5, 2, -7, 3, -2],
 [25, 26, -31, 11, 14],
 [5, -18, -3, -1, 10],
 [-35, -3, 39, -11, -29]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[12, -4, 0, -12, 24],
 [-3, 1, 0, 3, -6],
 [12, -4, 0, -12, 24],
 [18, -6, 0, -18, 36],
 [-12, 4, 0, 12, -24]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-39, -35, 28, 20, -10],
 [16, 20, -12, 0, 0],
 [-5, -9, 4, -4, 2],
 [-18, -28, 14, -8, 4],
 [26, 27, -19, -8, 4]]

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


[User]
Calculate the rank of matrix A where A =
[[-31, -5, -34, 14, -58],
 [-1, -14, -1, -1, 26],
 [5, 18, 12, 4, -25],
 [-9, -23, 1, 9, 27],
 [8, 17, 25, 9, -16]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[2, -15, -10, -17, 30],
 [10, 15, 20, 25, -30],
 [4, 42, 22, 38, -54],
 [40, 42, 24, 30, 6],
 [2, -33, -10, -23, 36]]

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


[User]
Calculate the rank of matrix A where A =
[[-9, 3, -32, -17, 26],
 [14, 10, 18, 2, -16],
 [9, -3, 32, 17, -26],
 [12, 24, -18, -24, 12],
 [12, 12, 8, -4, -8]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[21, 50, -4, -29, -26],
 [-31, -13, 26, -14, 24],
 [-20, 13, 19, -43, 28],
 [18, 54, 0, -36, -24],
 [8, -46, -16, 70, -20]]

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


[User]
Determine the rank of the following matrix:
[[9, 10, 20, 29, -6],
 [2, -36, 26, -70, -6],
 [3, -15, 5, -34, -27],
 [13, -7, 7, 4, 7],
 [15, -37, 38, -52, 8]]

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


[User]
Calculate the rank of matrix A where A =
[[-12, 2, 27, -17, -3],
 [10, -27, -19, 28, 50],
 [-26, -6, -24, 26, -28],
 [17, 14, 4, -18, -11],
 [5, -20, -27, 9, -17]]

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


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

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


[User]
Calculate the rank of matrix A where A =
[[-30, 11, -6, -7, 27],
 [7, 16, -26, 0, -4],
 [-15, 3, -27, 18, 9],
 [-20, 40, -36, -68, 32],
 [-3, -29, -5, 56, -11]]

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


[User]
What is the rank of the matrix:
[[-2, 25, -37, -18, -37],
 [26, 11, -2, 3, -2],
 [22, 13, -7, 0, -7],
 [-8, 20, -33, -17, -33],
 [-12, 6, -15, -9, -15]]?

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


[User]
What is the rank of the matrix:
[[-25, -31, 6, -5, -10],
 [-11, -26, -9, -13, 10],
 [-1, 15, 0, 7, 0],
 [-36, 10, -30, 0, 34],
 [25, 15, 10, 5, -10]]?

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


[User]
Determine the rank of the following matrix:
[[25, -5, -15, -25, -15],
 [-20, 4, 12, 20, 12],
 [30, -6, -18, -30, -18],
 [-25, 5, 15, 25, 15],
 [10, -2, -6, -10, -6]]

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


[User]
Calculate the rank of matrix A where A =
[[-2, 4, 6, -10, -10],
 [6, -12, -18, 30, 30],
 [0, 0, 0, 0, 0],
 [6, -12, -18, 30, 30],
 [3, -6, -9, 15, 15]]

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


[User]
Calculate the rank of matrix A where A =
[[-3, -29, 38, -16, 68],
 [2, -20, 52, 11, 54],
 [24, 22, 20, 14, -16],
 [-36, -44, 0, -10, 52],
 [-7, 12, -48, -12, -42]]

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


[User]
Find the rank of the matrix:
[[15, -33, 41, -13, 14],
 [-3, 27, -43, 5, 2],
 [7, 1, -1, 39, -20],
 [-8, 1, 11, 30, -29],
 [9, 12, -24, 27, -6]]

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


[User]
Calculate the rank of matrix A where A =
[[-28, 2, 26, 35, 38],
 [-44, 6, 40, 55, 60],
 [-40, 10, 35, 50, 55],
 [-12, 8, 9, 15, 17],
 [4, -56, 13, -5, -11]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[20, -20, -8, 4, -19],
 [-20, 26, -4, -6, 27],
 [0, -24, 37, -14, -10],
 [-28, 1, 48, -31, 25],
 [28, -4, -41, 34, -31]]

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


[User]
What is the rank of the matrix:
[[-12, 14, -6, -6, -3],
 [-30, 28, -22, 6, -11],
 [24, -28, 12, 12, 6],
 [42, -30, 40, -36, 20],
 [30, -30, 20, 0, 10]]?

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


[User]
Find the rank of the matrix:
[[1, 11, 0, 5, -10],
 [7, -1, 21, 11, -17],
 [-16, -8, -30, -20, 28],
 [-34, 20, -35, -10, -11],
 [25, -35, 20, -5, 35]]

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


[User]
What is the rank of the matrix:
[[-10, 30, -5, 10, -5],
 [2, -6, 1, -2, 1],
 [-2, 6, -1, 2, -1],
 [-6, 18, -3, 6, -3],
 [0, 0, 0, 0, 0]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-6, -8, 4, 0, 10],
 [-6, -8, 4, 0, 10],
 [3, 4, -2, 0, -5],
 [6, 8, -4, 0, -10],
 [-6, -8, 4, 0, 10]]

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


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

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


[User]
Find the rank of the matrix:
[[30, -42, -12, 12, -24],
 [-10, 8, 4, 1, 6],
 [-5, 25, 2, -17, 10],
 [10, -20, -4, 9, -10],
 [20, -28, -8, 8, -16]]

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


[User]
Determine the rank of the following matrix:
[[2, -23, 4, 24, 15],
 [-40, -35, -6, -9, -55],
 [12, 40, -4, -2, 24],
 [-11, -24, 5, 18, 21],
 [4, -17, 10, -27, -13]]

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


[User]
Determine the rank of the following matrix:
[[-16, 0, -4, -12, -36],
 [3, 18, -24, -36, -27],
 [14, -4, 9, 19, 39],
 [-2, 12, -17, -27, -27],
 [15, 2, 1, 7, 30]]

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


[User]
Determine the rank of the following matrix:
[[-21, -33, -30, -27, -15],
 [-37, -21, 14, -42, 7],
 [12, 16, 12, 15, 6],
 [-16, -28, -28, -21, -14],
 [25, 25, 10, 30, 5]]

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


[User]
What is the rank of the matrix:
[[-5, 5, -4, -1, 1],
 [-20, 20, -16, -4, 4],
 [-25, 25, -20, -5, 5],
 [15, -15, 12, 3, -3],
 [20, -20, 16, 4, -4]]?

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


[User]
Determine the rank of the following matrix:
[[-18, 3, -9, 12, -9],
 [6, -1, 3, -4, 3],
 [24, -4, 12, -16, 12],
 [36, -6, 18, -24, 18],
 [24, -4, 12, -16, 12]]

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


[User]
Determine the rank of the following matrix:
[[-8, -26, 13, 25, -7],
 [4, 24, -12, -24, 4],
 [21, 16, -8, -11, 16],
 [-11, 22, -11, -26, -7],
 [0, -22, 11, 23, -1]]

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


[User]
Find the rank of the matrix:
[[24, 41, -28, 15, 20],
 [-7, 9, 9, -31, -23],
 [50, -36, 57, 34, 48],
 [-44, -9, 5, -45, 6],
 [38, -33, 39, 37, 30]]

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


[User]
Find the rank of the matrix:
[[55, 11, 15, -7, -5],
 [-25, 15, -35, -5, 75],
 [-80, -50, -38, 20, 20],
 [-50, -44, -17, 17, -10],
 [45, -4, 37, 0, -65]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[32, 26, 5, 31, 5],
 [-6, -42, -3, 21, 63],
 [-29, -47, -24, -6, 41],
 [-24, -14, -64, -10, 4],
 [-2, -34, 10, 18, 52]]

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


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

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-30, 36, -6, 0, 6],
 [0, 0, 0, 0, 0],
 [15, -18, 3, 0, -3],
 [30, -36, 6, 0, -6],
 [25, -30, 5, 0, -5]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-30, 38, -21, -13, 3],
 [-12, -12, -5, -12, -9],
 [12, -12, 8, 6, 0],
 [18, -18, 12, 9, 0],
 [18, 6, 9, 15, 9]]

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


[User]
Determine the rank of the following matrix:
[[-4, 16, 8, -16, 0],
 [-5, 20, 10, -20, 0],
 [5, -20, -10, 20, 0],
 [6, -24, -12, 24, 0],
 [-4, 16, 8, -16, 0]]

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


[User]
What is the rank of the matrix:
[[18, -4, -18, -1, -10],
 [-42, 16, 42, 4, 30],
 [-3, 4, 3, 1, 5],
 [39, -24, -39, -6, -37],
 [12, -8, -12, -2, -12]]?

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


[User]
Calculate the rank of matrix A where A =
[[20, -16, 16, 5, -2],
 [25, -19, -16, -8, -4],
 [-3, 15, 9, -17, -7],
 [3, -10, -3, 13, 8],
 [-11, -9, -50, 14, 16]]

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


[User]
Calculate the rank of matrix A where A =
[[22, -26, -30, -25, -5],
 [-3, -12, -9, -3, 15],
 [14, -115, -79, 1, 33],
 [10, -39, -31, -15, 17],
 [-20, 89, 55, 7, -21]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, -31, -12, -27, -39],
 [7, -3, 34, 29, 26],
 [22, -2, -25, -14, -7],
 [-16, 15, 15, 15, 16],
 [-9, -31, 16, -7, -24]]

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


[User]
Find the rank of the matrix:
[[5, -5, -1, -6, 0],
 [20, -20, -4, -24, 0],
 [5, -5, -1, -6, 0],
 [25, -25, -5, -30, 0],
 [5, -5, -1, -6, 0]]

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


[User]
Calculate the rank of matrix A where A =
[[14, -21, 49, -26, 15],
 [-6, 15, -33, 18, -9],
 [-12, -12, 18, -12, 0],
 [-28, 14, -42, 20, -18],
 [-2, -9, 17, -10, 3]]

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


[User]
Determine the rank of the following matrix:
[[10, -2, -12, 8, 24],
 [-3, 3, 5, 15, 14],
 [78, -44, 14, -69, -20],
 [35, -3, -28, -23, 16],
 [50, -54, 2, -50, -20]]

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


[User]
Determine the rank of the following matrix:
[[-19, -27, -52, -2, -17],
 [36, -7, -22, 26, -7],
 [-6, -68, 60, -28, 88],
 [4, -28, -44, 0, -8],
 [-32, 4, -34, 6, -30]]

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


[User]
Find the rank of the matrix:
[[8, -22, 6, 38, -20],
 [-8, 19, -15, -17, 14],
 [6, -12, 18, -3, -6],
 [12, -30, 18, 36, -24],
 [18, -39, 45, 12, -24]]

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


[User]
Find the rank of the matrix:
[[12, 16, -12, -24, 0],
 [-30, -35, 0, 15, 6],
 [16, 13, 34, 43, -10],
 [-13, -9, -37, -49, 10],
 [33, 39, -3, -21, -6]]

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


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

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


[User]
What is the rank of the matrix:
[[-8, 2, 31, -10, -7],
 [-16, -12, -11, -14, -6],
 [-18, 30, 32, -31, -1],
 [28, 8, 5, -7, -26],
 [56, 12, 9, 5, -36]]?

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


[User]
What is the rank of the matrix:
[[-4, 1, -5, 2, -5],
 [32, 20, 12, -32, 36],
 [8, 12, -4, -12, 8],
 [-36, -12, -24, 30, -42],
 [0, -7, 7, 4, 1]]?

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


[User]
What is the rank of the matrix:
[[0, 0, 0, 0, 0],
 [4, 5, -6, 1, -6],
 [24, 30, -36, 6, -36],
 [20, 25, -30, 5, -30],
 [-24, -30, 36, -6, 36]]?

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


[User]
Calculate the rank of matrix A where A =
[[-36, -12, 12, -30, -24],
 [-30, -10, 10, -25, -20],
 [0, 0, 0, 0, 0],
 [30, 10, -10, 25, 20],
 [-24, -8, 8, -20, -16]]

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


[User]
Calculate the rank of matrix A where A =
[[9, 10, -4, -1, 15],
 [22, -25, -35, -4, 17],
 [25, -2, -45, -27, 27],
 [-22, -9, 41, 32, -27],
 [-9, 4, 14, 5, -9]]

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


[User]
What is the rank of the matrix:
[[-30, -32, -1, -2, -21],
 [25, 26, 28, 20, -8],
 [25, 29, -10, -19, 38],
 [-17, -1, -1, 5, 11],
 [-32, -21, 8, 51, -36]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[8, 4, -12, 4, -2],
 [-22, -14, 39, -10, 7],
 [-18, -18, 45, -6, 9],
 [6, 6, -15, 2, -3],
 [4, 14, -30, -2, -7]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[49, 56, 13, 60, 3],
 [13, 50, -3, 18, -61],
 [-36, -36, -30, -64, -24],
 [-4, 4, 6, 0, -28],
 [-56, -34, -18, -50, 3]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-34, 21, 7, 14, 22],
 [-51, 24, 15, 12, -9],
 [-13, -4, 31, -10, -25],
 [-8, -2, 5, -5, -35],
 [-38, 28, -16, 22, 16]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[24, 12, -28, 8, -8],
 [0, 0, 30, 30, -30],
 [20, 10, -15, 15, -15],
 [4, 2, -33, -27, 27],
 [-20, -10, -5, -35, 35]]

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


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

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


[User]
Compute the rank of the given 5x5 matrix:
[[-26, -17, -11, -30, -28],
 [-31, -27, -66, -30, -68],
 [11, 60, 7, 52, 16],
 [16, 37, 9, 38, 20],
 [-18, 18, 20, -4, 0]]

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


[User]
Find the rank of the matrix:
[[-20, -16, 5, 11, 20],
 [-20, -21, 20, 41, 49],
 [16, 17, -15, -34, -41],
 [-24, -13, -70, -24, 11],
 [20, 10, 20, 25, 12]]

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


[User]
What is the rank of the matrix:
[[-29, 10, -13, 14, -39],
 [9, -8, 3, 2, 11],
 [14, 30, -23, -21, 8],
 [-27, 30, -30, 5, -43],
 [-16, 16, -38, 22, -36]]?

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


[User]
Determine the rank of the following matrix:
[[-18, -36, -12, 36, 0],
 [3, 6, 2, -6, 0],
 [-3, -6, -2, 6, 0],
 [-6, -12, -4, 12, 0],
 [9, 18, 6, -18, 0]]

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


[User]
Determine the rank of the following matrix:
[[0, 0, 0, 0, 0],
 [-12, -6, -2, 8, 4],
 [0, 0, 0, 0, 0],
 [24, 12, 4, -16, -8],
 [12, 6, 2, -8, -4]]

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


[User]
What is the rank of the matrix:
[[13, 14, 23, 15, 10],
 [10, 17, 49, -8, -6],
 [46, 26, -27, -22, 59],
 [59, 38, -19, -31, 70],
 [-26, -13, 16, 16, -33]]?

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


[User]
Determine the rank of the following matrix:
[[-36, 10, -2, 0, -30],
 [-24, 16, 4, -8, -20],
 [-18, -2, -5, 6, -15],
 [-48, 18, 0, -4, -40],
 [-36, 24, 6, -12, -30]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[8, 22, -2, -2, 14],
 [-35, -33, 28, -27, 13],
 [-35, -10, 35, -40, 40],
 [3, 14, 1, -4, 12],
 [-36, -30, 30, -30, 18]]

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


[User]
Calculate the rank of matrix A where A =
[[-15, -5, 2, 0, -3],
 [-38, 12, -60, 4, 1],
 [-45, 3, -8, -4, 23],
 [-14, 12, -42, 4, 12],
 [-18, 10, -28, 0, 10]]

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


[User]
Calculate the rank of matrix A where A =
[[18, -12, -3, 9, -18],
 [-12, 4, 0, -5, 9],
 [0, 12, 6, -3, 9],
 [30, 12, 11, 7, -6],
 [42, 4, 9, 13, -18]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-13, -39, 33, -13, 25],
 [8, 24, -12, -1, -5],
 [-2, -6, 6, -3, 5],
 [-2, -6, -6, 10, -10],
 [-10, -30, 6, 11, -5]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[25, -21, 7, 13, 13],
 [0, 30, -8, 26, -12],
 [-28, 84, -28, 38, -34],
 [-18, 21, -14, -4, -3],
 [15, 33, 1, 47, -21]]

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


[User]
Determine the rank of the following matrix:
[[-10, -6, -26, -3, 23],
 [22, 40, -12, -19, 15],
 [26, 27, 39, -1, -32],
 [0, 7, -33, -44, 19],
 [10, 14, 2, -13, -3]]

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


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

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


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

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


[User]
What is the rank of the matrix:
[[10, -13, -5, -33, -58],
 [25, -7, 11, -19, 4],
 [-26, 14, -4, 38, 40],
 [21, -25, 7, -45, -48],
 [39, -15, 24, -27, 24]]?

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


[User]
Determine the rank of the following matrix:
[[-6, -8, -4, 4, -4],
 [-15, -20, -10, 10, -10],
 [-12, -16, -8, 8, -8],
 [18, 24, 12, -12, 12],
 [-18, -24, -12, 12, -12]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-23, -25, -27, 7, -8],
 [-33, -42, -33, -16, -8],
 [-6, -3, -2, -13, -16],
 [-3, -3, -20, 60, 22],
 [-13, -11, -24, 38, 2]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-33, -33, -22, 18, -37],
 [-13, 20, -11, -3, 11],
 [-29, -21, -10, 18, -33],
 [21, 12, 14, -9, 17],
 [-21, 19, -28, -6, 15]]

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


[User]
Calculate the rank of matrix A where A =
[[-18, 1, -2, 14, -23],
 [-12, -15, -24, -57, 18],
 [26, 10, 22, 32, 6],
 [18, 3, 18, 18, 3],
 [24, 21, 12, 42, 9]]

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


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

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


[User]
Find the rank of the matrix:
[[0, 0, 0, 0, 0],
 [0, 22, -4, 16, -6],
 [-8, -6, 0, -4, 10],
 [-2, 15, -3, 11, -2],
 [-4, 30, -6, 22, -4]]

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


[User]
What is the rank of the matrix:
[[-36, -31, -10, -11, -40],
 [20, -25, 56, -20, -10],
 [26, 3, 42, 7, -2],
 [-22, -9, -10, 7, -28],
 [-20, -21, -4, -10, -18]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-8, 5, -5, -7, 3],
 [-15, 30, -19, 24, 29],
 [-3, -15, 6, -33, -18],
 [-12, 30, -18, 30, 30],
 [-3, 0, -1, -6, -1]]

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


[User]
Determine the rank of the following matrix:
[[20, 20, -20, -10, 0],
 [12, 12, -12, -6, 0],
 [16, 16, -16, -8, 0],
 [24, 24, -24, -12, 0],
 [16, 16, -16, -8, 0]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[22, -34, -6, 8, 32],
 [17, 20, -39, 42, -26],
 [-29, 7, 39, -27, -7],
 [10, -15, -4, 0, 16],
 [-30, 10, 42, -10, -18]]

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


[User]
What is the rank of the matrix:
[[10, 14, 22, 4, 10],
 [13, 7, 23, 12, 10],
 [-32, -14, -6, -28, -8],
 [-26, 3, 23, -30, 4],
 [16, 10, 2, 12, 4]]?

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


[User]
What is the rank of the matrix:
[[5, -15, 20, 15, 30],
 [2, -6, 8, 6, 12],
 [-1, 3, -4, -3, -6],
 [1, -3, 4, 3, 6],
 [6, -18, 24, 18, 36]]?

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


[User]
Find the rank of the matrix:
[[-12, -24, 0, 6, -18],
 [2, 4, 0, -1, 3],
 [2, 4, 0, -1, 3],
 [6, 12, 0, -3, 9],
 [2, 4, 0, -1, 3]]

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


[User]
What is the rank of the matrix:
[[-10, -5, -10, 0, -35],
 [-44, 36, -29, 22, -2],
 [15, 6, -2, -14, -20],
 [3, 2, -7, -8, -30],
 [33, -32, 16, -22, -30]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-18, -12, -36, -6, 0],
 [-4, 3, 0, 3, -3],
 [-1, -12, -18, -9, 6],
 [5, 9, 18, 6, -3],
 [16, -12, 0, -12, 12]]

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


[User]
Determine the rank of the following matrix:
[[-15, -2, 7, 14, 19],
 [-7, 2, 15, 40, 38],
 [-33, 13, -16, -14, -31],
 [11, 4, -21, -44, -52],
 [-48, 30, -18, 12, -30]]

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