messages listlengths 1 1 | ground_truth stringlengths 1 3 | dataset stringclasses 1 value |
|---|---|---|
[
{
"content": "Compute |A| for the matrix A =\n[[-17, -28, -32, -30, 21, -9, 25, 26, 22, -15, 22, -27],\n [-32, 22, -7, 8, -7, 1, -30, 31, 3, -29, 11, 19],\n [-25, -17, -17, 17, 33, -16, 22, -27, -25, 7, 5, 32],\n [0, -8, 7, 29, 22, -20, -14, 18, -13, 32, -33, 5],\n [17, 21, -4, 12, -19, 9, -26, 0, -30, 34, -11,... | 624 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[24, 18, 9, -32, 0, -25, -35, 34, -20, 19, 17, 28],\n [-12, 27, 30, 16, -32, 30, 4, 4, 3, -27, 8, -7],\n [15, -31, 3, 8, -21, 26, 4, -9, -18, -23, 5, 16],\n [22, -2, 35, -34, 10, -28, 26, -17, -20, -3, 34, 9],\n [15, 29, -17, 35, 35, -13, -28, -30, 5, 19, -35, -35]... | 104 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[23, -12, -20, 16, 25, 15, -31, 34, 5, 23, 24, -31],\n [29, 4, 6, 5, 27, -8, 7, -11, 20, -29, 13, 25],\n [-17, 7, 18, -11, -12, 9, 28, 32, 26, -27, -22, -15],\n [0, -20, -6, -12, -27, -34, 35, 17, 7, 30, 32, -31],\n [25, 24, 23, 24, 35, 3, -11, -29, -32, -2... | 392 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[31, -24, -32, -25, 30, 22, -19, -17, -20, -17, 30, 14],\n [0, -1, -26, -1, 14, 15, 23, 4, 4, -7, -23, 24],\n [0, 0, 10, 34, -12, -14, 14, -4, 19, -14, 21, -19],\n [0, 0, 0, 31, -16, 15, 28, -27, -5, 10, 10, -4],\n [0, 0, 0, 0, 24, -23, -27, -20, 25, 16, 33... | 13 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[6, -18, 3, 29, -28, 3, -6, -7, 29, 15, 24, -34],\n [0, 26, 16, 2, 22, 3, 0, 27, -4, 21, -9, -26],\n [0, 0, 19, 14, 20, 1, 23, -20, 28, -35, 3, 6],\n [0, 0, 0, -7, -2, -6, 29, 1, -4, 25, -24,... | 312 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[20, -35, 2, 8, 22, 21, 6, -25, -31, 28, -30, -4],\n [-5, -9, -10, 16, 28, 20, 11, -28, -31, 15, -15, -13],\n [28, 20, 27, 14, -26, -13, 24, -31, -29, 17, -19, -24],\n [-29, 9, 0, -18, 27, -1... | 208 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-34, -31, -3, 12, -21, -30, -24, 34, 25, -6, -2, -20],\n [0, -25, -14, -34, -35, 1, -5, -31, 30, 24, 15, -14],\n [0, 0, 26, 10, -1, -3, -3, 23, -10, -34, 8, -16],\n [0, 0, 0, 20, -33, ... | 17 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[29, 28, 3, 1, -10, -2, 0, 10, 28, -10, -26, -5],\n [0, -8, -1, 21, -16, 0, 27, 34, 8, -23, -3, 14],\n [0, 0, 14, 16, 11, 7, -26, 12, 32, 19, 6, -5],\n [0, 0, 0, -4, 6, -10, -24, -22, 5, 7, -... | 440 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[35, -5, -6, 34, 3, 1, 4, -2, -1, -10, 30, 31],\n [-5, -20, 2, 2, -4, -8, -2, -14, -22, -5, 2, 10],\n [-6, 2, -22, -6, 31, -3, 20, -2, -24, -10, -16, 8],\n [34, 2, -6, -13, 8, -12, 4, 17, 16, 6, -10, 24],\n [3, -4, 31, 8, 7, -12, 19, 20, 6, -7, -4, 17],\n ... | 752 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-33, 2, -4, -11, -30, -2, 1, 24, -29, 22, -16, -1],\n [0, -25, 16, 21, 16, -23, -10, 18, -19, -29, -17, -30],\n [0, 0, -6, 4, -34, 32, 12, -9, -22, 14, -31, -15],\n [0, 0, 0, 27, 20, -... | 990 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[31, 28, -11, 2, -12, -26, 34, 7, -13, -6, -14, -34],\n [28, 33, -28, -2, 0, 2, -19, -26, 4, 26, -2, -4],\n [-11, -28, 3, -2, -20, 24, 6, -20, 27, -12, 20, 2],\n [2, -2, -2, -29, 20, -2... | 728 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-20, -24, -9, -31, 11, -27, -13, 27, -29, 17, 19, -6],\n [15, -27, -5, -31, 25, 16, -3, 22, 5, -19, 16, -25],\n [12, -5, 25, 9, -5, 28, -29, 16, 26, -16, 24, -33],\n [7, 17, 22, -27, -10, 31, 23, -15, 9, -1, -2, 31],\n [34, 0, -2, -30, 7, 11, -33, -33, 0, 16, -3, ... | 568 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-33, 6, -8, 15, -24, -3, 17, 10, 27, 16, 16, 10],\n [6, -26, 6, 18, 30, -16, 3, 19, 24, -20, 28, 4],\n [-8, 6, 32, 29, -16, -2, 32, 0, -4, -12, 18, 16],\n [15, 18, 29, -35, -20, -27, -16, 8,... | 464 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[32, 14, -2, -2, -3, 18, 12, -13, -6, 2, 10, -14],\n [14, -26, -9, 4, 8, -3, 30, -9, -6, 24, 10, 6],\n [-2, -9, 2, 11, 32, 2, 32, 10, 14, -12, -16, 14],\n [-2, 4, 11, 20, 11, 26, -12, 2... | 616 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[6, 28, 1, -7, -33, 16, -4, 10, -35, 11, -12, 29],\n [0, -24, -2, -32, 2, 4, -6, 32, 16, -35, -6, 22],\n [0, 0, 32, 10, -31, -22, -29, 3, 31, -20, 20, 26],\n [0, 0, 0, -30, -18, 33, -15... | 3 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[28, -23, -18, -31, -10, -1, -9, -29, -29, -27, -16, -25],\n [0, 24, 16, -19, 31, 9, 16, 31, 17, 11, -24, -16],\n [0, 0, 24, 8, -22, -26, 16, -27, 21, -29, 28, -28],\n [0, 0, 0, -24, 13, 10, ... | 3 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[1, 12, -6, 10, 18, 4, -24, -6, -9, -12, 15, 7],\n [12, -31, 0, 0, 22, 8, -22, 5, -16, -30, 8, -26],\n [-6, 0, -25, -10, 12, -14, -6, -27, 3, 12, -26, -9],\n [10, 0, -10, -11, -12, 18, 2, -18, 18, 6, -12, -28],\n [18, 22, 12, -12, -30, -12, -24, -13, -29, ... | 784 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[25, 28, 3, 22, -13, 0, 6, -8, 24, 2, 10, -2],\n [28, 22, -2, -9, -2, 8, -13, 20, 2, -14, 5, -10],\n [3, -2, 23, 4, 5, 19, -10, -7, 18, -12, -20, 22],\n [22, -9, 4, -34, 1, 26, 23, -6, 2, 2, -10, 12],\n [-13, -2, 5, 1, 20, 26, -28, -20, -16, 20, 0, 15],\n ... | 880 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[22, -28, -29, -20, -33, -34, -6, -7, 21, 28, 24, 8],\n [0, -1, -12, 24, 30, -34, -17, -25, -20, -4, 22, 17],\n [0, 0, 35, -18, -28, 8, -4, -32, 14, -30, -5, 8],\n [0, 0, 0, -17, -34, 1... | 0 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[27, -20, 8, 12, 11, 3, 34, -5, -4, 15, 9, -33],\n [-25, -32, 17, -32, 31, -13, 20, -19, -24, 3, 6, 13],\n [-31, -21, 27, -10, -12, 7, 0, -10, 28, -25, -16, 16],\n [-3, -30, -34, -17, -... | 296 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-17, -27, -2, -2, 30, -19, -26, 32, 28, -13, -28, 10],\n [3, -18, 32, -19, 2, 34, -28, 20, 24, 15, -24, -21],\n [-32, 8, -19, -9, 11, -1, -7, -23, -12, -18, 26, -22],\n [-21, 28, -11, -27, -7, -23, -20, -9, -30, -26, -1, -10],\n [-12, 19, 15, 25, -26, 12, ... | 720 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[12, 24, -26, 30, 17, 29, 29, -6, -29, 19, 27, 27],\n [30, -32, 26, 3, 27, -7, 1, -18, -25, -4, 2, 9],\n [-31, 31, 4, -13, -3, -14, 10, -27, -31, 25, 8, 27],\n [-32, -10, 13, -28, -8, -... | 976 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[9, -8, 1, -13, 32, -17, -3, 23, 34, 35, -19, -13],\n [0, 9, 1, -4, 31, -30, 22, 28, -17, 25, 16, 17],\n [0, 0, -31, 27, -11, 26, 27, -16, 12, -26, 20, 26],\n [0, 0, 0, -19, 10, 10, 6, 11, -14, 12, -4, 18],\n [0, 0, 0, 0, -30, -27, 30, -16, -33, 25, -10, 25],\n [0,... | 400 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[9, -19, -3, 2, -10, -18, 18, 17, -24, 32, -10, -18],\n [-19, 16, 12, -1, 20, 7, 4, 20, -14, -2, 3, -4],\n [-3, 12, -22, 10, -11, -3, 18, -12, -2, -9, -26, -27],\n [2, -1, 10, 8, -5, -2... | 328 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-31, 2, -12, -12, 4, 9, -4, -27, 14, -4, -15, 20],\n [2, -6, -4, 5, -14, -8, -24, 1, 12, -19, -14, -10],\n [-12, -4, 32, 12, 0, 4, 28, 2, 25, 20, 4, 32],\n [-12, 5, 12, 23, 9, 18, -5, ... | 992 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[24, 0, -2, -2, -9, 29, -7, -4, 21, -23, 0, -23],\n [0, -31, 17, -19, -34, -11, -29, -2, -10, 22, 25, -16],\n [0, 0, -19, 27, 30, -20, 19, 20, 7, -26, 17, 24],\n [0, 0, 0, -14, 0, -14, -17, -... | 400 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[13, -6, 6, 4, 2, -5, 14, 22, -26, 8, -14, 6],\n [-6, -5, -4, -2, -1, 14, 31, -2, 7, 29, 18, -18],\n [6, -4, 30, -8, -4, -4, -5, 4, -12, 0, -7, -6],\n [4, -2, -8, 10, 0, 3, -18, -6, -2, 9, 12... | 24 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[1, 24, 5, -2, 1, -10, 0, -12, -13, 3, 16, 12],\n [24, 29, 23, -34, 11, -8, -11, 1, -22, 5, 0, 24],\n [5, 23, -24, 16, 7, -2, -2, 21, -4, -9, -6, 0],\n [-2, -34, 16, -4, 12, 0, -8, -2, ... | 512 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[12, -9, 28, 11, -28, 28, 20, 29, -34, 4, -24, 8],\n [1, -24, -24, 35, 2, -19, 11, 9, 30, 3, 4, -13],\n [2, -33, 5, 2, 14, 27, 27, -7, -18, 9, 17, 2],\n [18, -22, -26, -3, 21, -6, 6, 22, 29, -17, -17, 4],\n [-31, -11, -3, 20, -5, 16, 28, -5, -20, 4, 33, -11... | 392 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[24, 10, -3, -32, -4, -26, -18, -15, 11, -18, 10, -27],\n [10, 3, -26, -4, -20, -2, 10, -8, -26, 2, 2, 2],\n [-3, -26, 1, 26, 8, -6, 18, 17, 26, 4, 4, -2],\n [-32, -4, 26, -5, 17, -17, 15, 6, 2, -22, 0, 21],\n [-4, -20, 8, 17, -35, -12, 6, -26, -24, 10, 10, 19],\n ... | 232 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[20, -30, -2, 7, 33, -15, -35, 7, 23, -1, 25, -17],\n [18, 22, 27, 6, -30, 18, 8, 23, -22, -20, 24, -7],\n [25, -22, -5, 19, -18, -32, 0, 17, -26, 22, 24, -32],\n [-26, 4, -8, 30, -30, ... | 488 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[28, -19, -4, 6, -29, 3, -21, -32, -24, 24, 19, 17],\n [2, 23, 5, -33, 29, 4, -25, 34, 24, 7, 5, 0],\n [-12, 21, 19, 6, -35, -27, -9, -14, 11, 1, 6, -11],\n [-33, -33, 32, 9, 1, -2, 24,... | 816 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[17, 1, -11, -14, 2, 0, -28, -1, -6, -22, -4, 16],\n [1, -4, -14, 0, 1, 14, 9, 5, 14, -21, -7, 4],\n [-11, -14, 1, -6, 2, 12, -4, 17, 3, 24, -12, -3],\n [-14, 0, -6, -5, 2, -12, -28, -2, -6, 20, 15, 14],\n [2, 1, 2, 2, 28, 12, -4, -22, -34, -7, 20, -7],\n [0, 14, 1... | 920 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-25, 33, -6, -3, -10, -8, 24, -11, 17, -13, 2, 2],\n [33, 22, -14, 12, 4, 14, -15, -2, 25, -4, 20, -12],\n [-6, -14, -8, 12, -18, 0, 12, -5, -15, 4, 18, 26],\n [-3, 12, 12, -35, -6, -19, 16,... | 864 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[6, 2, -3, 4, -3, 26, 9, 22, 26, -22, -24, -7],\n [2, -19, -26, 24, 4, 32, -6, -7, -14, 0, 24, -1],\n [-3, -26, 2, -1, 8, 21, -18, 10, 1, -13, -24, -16],\n [4, 24, -1, 24, -16, -12, -2, -2, -12, -4, -4, -5],\n [-3, 4, 8, -16, 24, 0, 32, -8, 6, 10, 0, 0],\n [26, 32,... | 664 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-31, 25, -29, 23, 17, 1, 25, -1, -3, -19, 24, 11],\n [0, -19, -33, 1, 10, 34, -2, 3, -24, -8, 3, 30],\n [0, 0, 20, -2, -8, 26, 10, -9, 16, -34, 0, -13],\n [0, 0, 0, -8, -4, -13, 11, 11, 10, -3, 6, 2],\n [0, 0, 0, 0, -28, 13, -31, -5, 17, -1, 22, -31],\n [... | 7 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[16, -26, 5, 18, 18, 4, -7, 6, 0, -20, 8, 6],\n [-26, 12, 8, 4, 0, -3, -28, 7, 8, -22, -20, 12],\n [5, 8, 14, 11, 2, 8, -6, 19, -8, 4, 30, -25],\n [18, 4, 11, 35, 12, -4, -18, -14, -13, -8, 29, -10],\n [18, 0, 2, 12, -1, 12, -10, 4, -16, -22, -26, -6],\n [... | 896 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[17, -4, 20, -10, 2, 12, -18, 4, 3, -8, -2, -7],\n [-4, -12, 30, -19, -18, 6, 8, 4, 8, -10, 0, 16],\n [20, 30, -13, 2, 0, 2, -3, 7, -9, -14, 9, -2],\n [-10, -19, 2, 21, -12, 14, -20, -32, -14... | 784 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-29, -34, 30, -29, 28, 33, 20, -32, 4, 29, -20, -12],\n [-34, 32, 30, 15, 0, 30, -9, 19, -27, 29, 24, -21],\n [-29, 9, 29, -35, 34, 35, 26, -19, 26, 15, 3, 7],\n [-32, 32, 8, 22, 29, 11, -26, -15, 20, -25, -16, 4],\n [-8, -27, 10, 17, 25, 18, -16, -30, 15, 1, 35, ... | 672 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-34, -22, 2, 1, 26, -14, -24, -33, 32, -17, -1, -24],\n [-26, -26, -21, -23, -21, -28, 35, -11, 29, 24, 26, 5],\n [-7, -33, -8, 14, -4, -11, -16, -14, -11, 1, -26, 31],\n [10, -9, -5, -18, -17, 30, -21, 9, 27, -29, -3, -1],\n [2, -25, -35, 20, -15, -9, -3... | 448 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-26, 2, -5, 15, -3, 5, -8, 0, 24, 17, -14, 28],\n [2, -31, -32, -5, 4, -8, -10, 12, 14, -18, 12, -10],\n [-5, -32, 25, -3, 2, 16, -16, -26, 15, -2, 10, -22],\n [15, -5, -3, -14, -10, -6, -11... | 144 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-28, 0, 33, -2, 29, -31, -10, 10, 6, -2, 15, 2],\n [-14, -8, 19, -24, 25, 8, 30, 29, 6, 9, -21, -24],\n [20, 22, 0, -8, -33, 18, 1, 16, 13, 7, 35, -31],\n [18, -2, -17, -3, 31, 10, -31, -34, 34, -32, -16, -35],\n [-2, -7, 9, 16, -6, 16, -25, 1, 24, -11, 0... | 776 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[17, 2, 8, -7, 8, -8, -5, 1, 2, -22, 2, 24],\n [2, 32, 4, -14, -4, -2, 4, 18, 18, 2, -4, -3],\n [8, 4, -33, 8, 14, -4, 18, 4, 14, -15, -4, -8],\n [-7, -14, 8, -17, -1, 10, 1, -24, 4, -16, -12, -23],\n [8, -4, 14, -1, 28, -6, -4, 6, 20, -8, -6, -3],\n [-8, -2, -4, 1... | 328 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[13, 18, -29, -18, -3, 26, -25, 13, 22, 19, -18, 14],\n [0, -21, -32, 2, 28, 10, 7, 27, 2, -30, -6, 33],\n [0, 0, 24, -19, 19, -28, -34, -17, 15, 23, -14, -25],\n [0, 0, 0, -31, -23, -20, 35, 21, 3, -3, 2, 26],\n [0, 0, 0, 0, 31, 10, 12, -24, -33, -20, -4, -16],\n ... | 798 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-32, 6, 26, 0, 3, 2, -15, 10, 1, 2, 2, 5],\n [6, 14, 14, 2, 30, -4, 18, 15, 18, -25, 2, 3],\n [26, 14, -18, 31, 7, -6, -13, 0, -7, 16, 16, 11],\n [0, 2, 31, 22, 2, -2, 24, 12, 8, 7, 20, 1],\n [3, 30, 7, 2, 0, 20, 3, 22, 10, -20, -15, -24],\n [2, -4, -6, -... | 208 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-33, 22, 29, 1, 3, 1, -12, -13, -10, -35, -29, -23],\n [0, 25, 0, -15, -16, -16, 28, -35, 8, 27, -3, -17],\n [0, 0, -12, 19, 17, 2, 1, -33, 11, -30, 9, 3],\n [0, 0, 0, -13, 3, 30, -29, 16, 3... | 995 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[18, 11, 0, 1, -10, 5, 12, 18, -18, -8, 10, -26],\n [11, -22, -20, -12, 2, -20, -18, 18, -3, 8, 1, 18],\n [0, -20, -20, 20, 34, 0, 28, 6, 14, 18, -15, -16],\n [1, -12, 20, -24, 12, 6, -24, -2, 10, 24, -24, 3],\n [-10, 2, 34, 12, -35, 10, -13, 6, -6, 11, 11... | 232 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-32, -21, 27, -30, 29, -32, -10, 29, -32, 0, -32, -10],\n [16, 15, 23, -15, 26, -20, -10, 2, -6, -10, -13, -6],\n [-10, 20, 31, -5, -14, -14, 20, 23, -27, -16, -9, -9],\n [25, -7, 32, 16, -21, -29, 30, -12, 30, -14, 33, 35],\n [7, -28, 15, -5, 12, 11, 20, 31, -30,... | 704 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[18, -8, -34, -7, 24, 22, -31, -23, 34, 23, -28, -34],\n [-26, -32, -1, 13, -17, -29, -6, 26, -13, 34, 33, -9],\n [-14, -23, -15, -4, 11, -30, 26, 28, -24, 2, -29, 27],\n [-25, -8, -7, 4, -9, -4, -16, 8, 21, 19, -34, 28],\n [8, 15, 23, -2, -17, -33, 21, 12,... | 760 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[6, -29, 24, 5, -19, 1, 26, 8, 0, 28, 6, -6],\n [-30, -12, -7, -20, 19, 34, -19, 20, -25, -8, -29, -7],\n [-7, 25, 30, -6, -17, 8, 20, 26, 29, 14, 14, 20],\n [-20, 33, 29, -20, 34, 26, 27, -27, 3, 16, -27, 30],\n [10, 33, -28, -6, -33, -6, -16, 3, 13, 17, ... | 600 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-33, 31, -11, -12, 4, -5, -33, -26, 28, -14, -19, 5],\n [0, -32, 16, -18, 15, -31, 19, 6, -2, 5, 33, -33],\n [0, 0, 24, 29, -34, 9, -28, 22, 15, 20, 31, -12],\n [0, 0, 0, -23, -27, -13... | 454 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-16, 18, 2, -14, 10, 20, -8, 10, -16, -30, 15, -22],\n [18, 5, -7, -20, 7, -18, 23, 16, 26, -8, -10, -20],\n [2, -7, -13, -11, 8, 18, 24, -2, -11, -2, -10, -4],\n [-14, -20, -11, 32, 17, -17, -12, -4, -6, 32, -8, 16],\n [10, 7, 8, 17, -33, -2, 18, -2, 11, ... | 48 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-27, 8, 4, -21, -6, 6, -23, 24, -15, -35, 22, -20],\n [-7, -1, 21, -9, 24, 22, -29, 12, 4, -26, -14, -3],\n [27, -15, 2, 13, -4, 34, -3, -6, -9, -10, 20, 27],\n [23, -8, -32, -15, -24, -35, 17, 20, -24, 34, 18, -8],\n [20, 6, 25, -12, -10, 11, -14, 12, 4, -24, 28,... | 872 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-28, 7, 13, 4, -11, 28, -13, 23, -11, -35, -3, -22],\n [0, 17, 19, -12, -24, -23, -13, 32, -2, -9, 23, 29],\n [0, 0, -29, 26, 35, 15, 15, 10, 14, 20, 27, 8],\n [0, 0, 0, 35, 1, 34, -9, -7, -2, 25, 35, 21],\n [0, 0, 0, 0, 30, -26, 21, -25, 15, 5, 1, -9],\n [0, 0, 0... | 60 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-18, 16, -7, -5, -35, -30, -19, -27, 29, -21, -19, 20],\n [0, 29, -9, 15, 34, -16, 33, 25, -5, -18, -18, 34],\n [0, 0, -33, -7, 3, 16, 3, 22, 20, 22, -32, 21],\n [0, 0, 0, -16, -26, -16, 4, ... | 40 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-30, -2, 10, -13, 13, -18, 2, -4, 27, -14, -1, 26],\n [0, -16, -8, 24, 11, 3, 25, 35, 22, -33, -12, -29],\n [0, 0, -15, -19, 20, 34, -32, 27, -10, -35, 32, -1],\n [0, 0, 0, 25, -28, -4, 10, -26, -17, 17, -18, 26],\n [0, 0, 0, 0, 26, 25, 18, -27, -15, 5, -20, -26],... | 3 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-28, -34, 27, -16, -26, -6, -4, 32, -5, 32, 19, -14],\n [0, 11, 32, 24, -11, -17, 30, -17, 2, -1, -33, -12],\n [0, 0, -30, 28, -3, 6, 32, -9, -5, -25, 11, -26],\n [0, 0, 0, 35, -32, -14, -18, -1, -5, 17, -33, 34],\n [0, 0, 0, 0, 27, -3, -14, -1, -35, 24, 28, 12],\... | 280 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[8, -27, -3, -28, -27, 14, -32, -9, 10, 24, 28, 10],\n [0, 33, 18, -24, -18, -26, -16, -2, -32, 4, 11, 29],\n [0, 0, 35, 23, -24, 24, -8, -21, 13, -33, -17, -11],\n [0, 0, 0, 34, 27, 0, 4, 32, 20, -7, -11, -16],\n [0, 0, 0, 0, -12, -28, 19, 23, -14, -16, -1... | 865 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-25, -6, -5, 26, 1, -2, -30, 5, -10, 6, -12, 2],\n [-6, 10, 0, 21, -1, -22, -12, 23, -10, 25, -2, -18],\n [-5, 0, -16, -10, 2, -18, 2, 30, 13, -10, -5, 10],\n [26, 21, -10, -27, -16, 6, -10, 19, 7, 14, 7, 6],\n [1, -1, 2, -16, -23, 8, -2, 2, 12, -20, 28, -... | 776 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[19, -14, 20, 1, 7, 18, 19, 15, 23, -15, 17, 15],\n [0, 27, 14, 13, -18, -12, -20, 29, -2, -7, -21, -35],\n [0, 0, 8, 15, -31, -5, -14, -29, -6, 4, 1, -18],\n [0, 0, 0, -12, 8, -26, 24, -5, -29, 13, 6, 15],\n [0, 0, 0, 0, -34, -32, -3, 23, -35, 10, 7, -34],\n [0, 0... | 970 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[15, 23, -13, 1, 4, 31, 18, 11, -27, 10, -13, 15],\n [0, -24, 1, 17, -23, -31, -17, 14, 21, 34, 13, 10],\n [0, 0, 2, -33, 24, 30, -28, 12, -9, -32, 2, 22],\n [0, 0, 0, -27, 7, 10, -7, 2... | 637 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[19, 26, -8, 4, 16, -16, 16, -17, 12, 13, 4, -27],\n [-24, 33, 23, 2, 10, -1, -8, 26, 15, 27, 26, 20],\n [-23, 5, 1, 13, -12, 19, 35, -26, 0, -24, 22, -29],\n [34, -2, -35, -11, -15, -9, -7, -32, -27, 10, -16, 11],\n [26, 7, 20, 22, 20, -29, 17, 0, -22, -19... | 848 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-16, 14, -16, 18, 25, -24, -9, -13, 16, -31, 7, -28],\n [0, 32, -21, -20, 4, 11, 29, -5, 26, -18, 8, 9],\n [0, 0, -35, -32, 20, -30, -33, -9, 34, -1, -18, -3],\n [0, 0, 0, 13, -9, -20, 1, -18, 17, -30, -18, 2],\n [0, 0, 0, 0, -25, -33, 1, 16, 5, -8, 0, 32]... | 993 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[12, 28, -32, -8, -28, 34, 15, 32, -29, -30, 11, -15],\n [0, -13, -19, -25, -15, -11, -26, -3, -30, -11, 28, 3],\n [0, 0, 29, -9, 25, 20, 10, -31, 0, 33, -28, -25],\n [0, 0, 0, -15, 27,... | 4 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-35, 18, 31, -3, -20, 22, 23, 25, 19, -7, 13, 6],\n [0, 12, -11, 5, 16, 2, 25, -31, -29, 35, 2, -26],\n [0, 0, -31, -7, 18, -28, -26, -23, 10, -19, -21, 30],\n [0, 0, 0, -9, -25, -17, -7, 35, -13, -23, -33, 29],\n [0, 0, 0, 0, -10, 16, 35, -33, 6, -13, 24... | 3 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[28, -6, 13, 2, -16, -7, -12, 32, 11, 20, 19, -7],\n [-6, -14, 4, -6, 20, -11, 16, -23, -13, 19, -12, 16],\n [13, 4, 24, -8, -12, -10, -12, 32, -10, 8, 4, 14],\n [2, -6, -8, -28, 6, 0, 16, -15, -26, 3, 14, 1],\n [-16, 20, -12, 6, 15, -18, -6, 3, 10, 4, -18,... | 432 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[26, 8, -2, 16, 6, -14, 35, 33, 22, 5, 23, 15],\n [0, -34, -10, 31, 12, -33, 21, 5, -18, 8, 20, 12],\n [0, 0, 18, -21, 12, 33, -2, 7, 13, 34, 28, -14],\n [0, 0, 0, 17, 13, 33, -14, -1, 34, 13... | 928 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[12, 7, -13, 5, -18, 6, -3, 15, 14, -4, -15, 14],\n [7, 19, -10, 23, 23, 6, -6, -14, 11, 2, -8, -24],\n [-13, -10, 7, 10, -32, -24, 10, -10, -30, -2, -4, -18],\n [5, 23, 10, -25, 17, -12, 0, -18, -6, -5, -7, 12],\n [-18, 23, -32, 17, 22, 18, 6, -2, -14, 0, 14, -11]... | 64 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[35, 29, 26, 8, 13, -18, -6, -25, -21, 13, -3, 14],\n [-22, -7, 12, 23, -18, 27, -11, -22, 26, 1, -4, 24],\n [19, 14, 23, -28, -10, -32, 24, -23, -11, 25, -10, 15],\n [-20, -27, 8, -5, -13, 1, 17, -33, -13, 7, 35, 30],\n [23, 28, -20, -17, 2, -34, -13, 17, ... | 872 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[15, -3, 1, -17, -2, 19, -7, 23, -33, 8, 9, 22],\n [0, -27, 7, 35, -23, -4, -15, 15, -20, 12, 12, 21],\n [0, 0, 19, -12, 34, -32, -26, -24, 6, -6, -35, -17],\n [0, 0, 0, 30, 3, -29, -18, -35, 29, 2, 31, -18],\n [0, 0, 0, 0, -19, -29, -25, 12, -17, -7, -8, ... | 17 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-27, 13, 14, 19, -26, -19, 31, 9, -10, -22, -18, -25],\n [0, -34, -11, -29, -22, 26, 21, -4, -23, 31, 22, -8],\n [0, 0, -23, -2, 22, 28, 13, -5, 3, -27, -7, -16],\n [0, 0, 0, 29, 18, -4, 17, 29, 6, -8, -6, -24],\n [0, 0, 0, 0, 21, 11, -12, 14, -30, -6, -21, -27],\... | 170 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[12, 26, -2, 19, 15, 15, -12, -22, 27, -11, 2, -17],\n [26, 31, -11, 26, 11, -28, 14, 14, -20, 18, 0, 5],\n [-2, -11, 28, -9, -16, 18, 0, -4, 30, 20, 6, -24],\n [19, 26, -9, 22, 17, -4, 10, 32, 10, 12, 0, 10],\n [15, 11, -16, 17, -34, -10, 8, -16, -12, -12,... | 816 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-31, -7, 2, 6, -10, -28, 0, -6, -30, 6, -12, 20],\n [-7, -32, -6, -8, -13, 28, -6, 8, 16, 26, -26, -26],\n [2, -6, -33, 4, -25, 6, 2, 24, 0, -2, 2, 2],\n [6, -8, 4, -18, 12, -16, 9, -2... | 32 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-14, -24, 12, 21, 24, -17, -11, 31, -7, 10, 30, -1],\n [0, 28, -13, 11, -4, 33, 9, -25, 23, 21, 6, 26],\n [0, 0, -25, -33, 22, 33, 29, 10, -30, -23, -26, -19],\n [0, 0, 0, 30, -15, -19, -15, 29, 24, -33, 18, -3],\n [0, 0, 0, 0, 20, -33, -12, -10, -12, -22,... | 988 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[19, -21, -4, 28, 17, 9, -3, -10, 7, 0, -25, 0],\n [0, -22, -5, 18, 30, 8, -19, -35, 29, 28, -30, 18],\n [0, 0, -32, -20, 11, -8, -16, -21, -15, -2, 8, -27],\n [0, 0, 0, 21, -13, 33, -1... | 8 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[17, 4, 6, 20, -6, 12, 9, 7, 26, -24, -29, 7],\n [0, 34, 16, 25, 32, 15, -21, -33, 30, 6, 14, -17],\n [0, 0, 20, 20, 14, 2, -28, 4, -4, 19, 8, -2],\n [0, 0, 0, 14, 20, -13, 27, 22, -29, -7, 1... | 11 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[25, 0, 4, 10, -10, -14, 5, -12, -4, -2, 22, 0],\n [0, 0, 20, 6, 20, 2, -4, -13, 12, -17, -12, 2],\n [4, 20, 1, 2, 6, -3, -4, 7, -1, -18, -4, -12],\n [10, 6, 2, -23, -13, -22, 12, 8, 18, 6, 5, 6],\n [-10, 20, 6, -13, -21, 20, -14, 18, 9, -16, -14, 8],\n [-... | 632 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[9, -35, -35, 30, -8, -9, 21, -11, -23, -32, 34, 25],\n [0, -23, -1, 22, 26, 6, -7, -30, -20, 23, -13, 3],\n [0, 0, -33, -30, -32, -16, -31, 6, -22, -33, -17, 30],\n [0, 0, 0, 13, 19, 21, -3, 32, -26, -35, -10, 3],\n [0, 0, 0, 0, -27, 6, 34, -17, -6, 27, -... | 802 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[1, -14, -2, -26, 18, 5, 30, -16, -6, 21, -9, 2],\n [-14, -33, -2, -13, -9, 28, -7, 32, -23, -5, -6, 2],\n [-2, -2, 7, -2, 2, -6, -7, 8, 20, 0, 9, -4],\n [-26, -13, -2, -4, 16, -4, -6, -11, -... | 688 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[1, -33, 29, -28, -28, 0, -25, -26, -19, 0, 5, -6],\n [9, -33, -18, 0, -17, 0, -32, 33, 9, 10, 35, -28],\n [31, 23, 16, 0, 22, -16, 3, -34, 11, 29, 10, 35],\n [-22, 31, 24, 20, 13, 22, -20, 30, -15, 12, -26, -20],\n [-7, 28, 24, -19, 2, -27, 28, 14, 17, 22, 10, -25... | 944 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-9, 35, 22, -22, 7, 5, 9, 35, 3, 11, 19, 2],\n [1, -12, -22, -33, -34, 10, -5, 10, 0, 15, 4, 6],\n [35, 29, -32, 27, -28, -17, 21, -23, 3, -22, 15, 32],\n [22, 12, -32, -8, 9, -17, -28... | 368 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[25, -32, 15, -12, -11, -27, 25, -6, -19, 24, -26, -17],\n [2, -8, -28, 32, 19, 26, 5, -4, 20, 8, 29, -27],\n [-4, -16, 23, 31, 26, 17, -30, -15, -1, -34, -35, 0],\n [19, 30, 2, -28, -19, 32,... | 496 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[10, 28, 23, 24, 12, -2, 28, -6, -2, 19, -19, -15],\n [13, 7, 17, -13, 26, 26, -34, 26, -17, 34, 8, 35],\n [17, 4, -4, 19, 8, -34, -7, 35, -7, 19, -31, -34],\n [6, -15, -24, -10, -16, -... | 144 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-28, -20, -9, 5, 20, 2, 8, 4, -3, -6, 23, -4],\n [-20, 3, -4, -9, 2, 22, 9, 17, 31, -10, -4, -16],\n [-9, -4, 24, -17, -6, -2, 14, 8, -16, -22, -14, -17],\n [5, -9, -17, -17, -12, 6, -6, -14, 8, -15, -8, -24],\n [20, 2, -6, -12, 28, 26, -20, -8, 3, -8, -7... | 696 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-29, -21, 32, -10, -4, -5, -8, 25, -27, 12, -8, 24],\n [-26, -4, 1, 23, -15, -10, 21, -11, -8, -29, -5, 10],\n [18, -19, -18, -17, 20, -31, -22, -29, -3, -17, 33, -26],\n [20, -21, -33, -5, 35, -13, 12, 23, 19, 30, 16, 34],\n [-34, -14, 33, -17, -32, 31, -... | 24 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-4, 7, -2, -20, 9, -28, -33, 4, -8, -24, -4, 22],\n [7, 29, 12, 4, -12, -7, 7, -16, -16, 10, 24, -15],\n [-2, 12, -21, -4, 2, -14, 7, -2, -8, 30, -18, 11],\n [-20, 4, -4, 35, -14, -22, -14, 4, 12, -7, 7, -8],\n [9, -12, 2, -14, 29, -19, -24, -10, 16, 12, ... | 504 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[4, -4, 22, -13, 12, 35, -28, 14, -3, 19, -13, 18],\n [18, 16, 7, 27, 31, -22, -34, 34, 21, -2, -10, -11],\n [25, 32, 23, -17, -34, 11, 14, -6, 18, -20, 3, 3],\n [15, -4, -12, 5, -27, 21, -1, 4, 31, 4, -20, 31],\n [-9, -20, -28, 32, -15, 34, -29, -23, 4, 10... | 224 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-28, 26, -10, -6, -18, -30, -18, 7, 12, -7, -28, -2],\n [26, 0, -8, -18, -4, 5, 20, 6, -2, -2, 3, 3],\n [-10, -8, -1, 28, 2, -12, -13, -11, -8, -10, -6, -27],\n [-6, -18, 28, 29, -6, 2, 10, -2, 4, -24, -5, -3],\n [-18, -4, 2, -6, -11, 23, -12, 32, 6, -14, ... | 528 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[5, 35, 26, 7, -29, 22, -30, -15, 35, -11, -25, 23],\n [4, 9, 33, 5, 26, 32, 30, 32, -10, -17, 5, 9],\n [-21, -19, 14, 32, 3, 33, 30, -4, 20, -11, 18, -23],\n [10, 6, 19, -12, 23, -9, 9... | 496 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-13, -12, -26, 1, -22, 28, 18, -21, 30, -29, 20, -12],\n [0, -11, 5, -12, -17, -9, 10, -34, -4, -15, -33, 7],\n [0, 0, -28, 6, -33, -24, -14, -7, 31, -6, -24, 2],\n [0, 0, 0, -2, 3, -22, -33... | 888 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-19, -34, 11, -23, 4, 13, 35, -19, -18, -22, 8, 30],\n [-24, 26, -24, 25, -16, 3, -15, 20, -21, -19, 1, -31],\n [15, 31, -27, -25, -1, 11, -20, 30, -30, -15, -34, 14],\n [-10, 8, -3, -23, -32, 5, 14, -35, 16, 3, 35, 29],\n [-4, -5, 22, 4, 30, -16, 16, -11,... | 912 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-12, -6, -26, 35, 2, 9, 3, -27, 18, 23, -21, 21],\n [-7, -25, 34, -10, -28, -23, 24, 10, -13, 27, -34, 16],\n [-34, 10, -28, 8, 14, 21, -34, -24, 1, -11, 9, 31],\n [-35, -1, 15, 15, -5... | 696 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-10, 10, 13, -22, -1, -2, 7, 4, 29, 31, 8, 23],\n [0, 31, -2, 2, -17, -25, 34, -2, 14, 9, -15, 21],\n [0, 0, -31, 7, -32, 19, 12, 5, -1, 15, 34, -23],\n [0, 0, 0, 26, 33, -31, -10, -9, 12, 35, -16, 24],\n [0, 0, 0, 0, 34, -1, 35, 20, 18, -31, -5, -28],\n ... | 970 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-12, 14, 30, -13, -4, 0, 10, 0, -8, -16, 3, -10],\n [14, 18, -23, -16, 27, 16, 10, 32, 20, 8, 16, -1],\n [30, -23, -18, 20, -2, 5, 24, 10, 15, 12, -26, -20],\n [-13, -16, 20, 22, 7, -18, 31,... | 24 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[3, 14, -33, -33, -25, -15, 9, -9, -8, -27, -35, -14],\n [0, 19, 25, -18, 2, -23, 21, -2, -35, -22, -35, -29],\n [0, 0, 7, -8, -3, -10, -3, -23, 2, -9, 33, 23],\n [0, 0, 0, 28, -5, 22, ... | 199 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[13, 19, -31, 31, 17, -31, -20, -16, -14, 21, -17, -33],\n [6, -23, -8, -31, 4, 22, -25, -6, -7, 1, -13, 5],\n [17, -13, 32, 29, -17, 12, -26, 0, 8, -13, -22, -30],\n [14, 21, 11, -3, -23, 32, 1, 0, -9, -34, 16, -24],\n [-19, 21, -6, -17, 21, -18, -5, 21, 3... | 568 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-12, 2, 29, 31, -8, 24, 0, 7, -10, -9, 28, -15],\n [31, 3, 23, -19, 25, 25, 23, -27, -4, -28, -32, -20],\n [-10, 14, -21, -24, 25, -21, 7, -25, -21, -24, 20, -16],\n [-25, 20, 24, -6, -11, 22, -4, 11, 29, -9, 30, -10],\n [1, 19, 14, -1, 24, -29, 13, -21, 2... | 896 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[20, -2, -9, -21, 6, 2, 23, -25, -35, 21, -9, 26],\n [0, -29, -27, 27, -13, -27, -31, -5, -27, -27, 26, -12],\n [0, 0, 29, 33, -3, -24, 7, 9, -9, -28, 24, -26],\n [0, 0, 0, 31, 28, 35, -10, 26, 28, -19, 25, -20],\n [0, 0, 0, 0, -31, 28, -4, 25, -30, 8, -29... | 520 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-28, -16, 5, -15, 22, 25, 24, 21, -26, -16, 22, -1],\n [0, 10, -22, 22, 17, 30, 7, -8, -29, -18, -6, 26],\n [0, 0, -24, 35, 35, 17, 13, 5, 6, 14, -11, 9],\n [0, 0, 0, 2, -8, 5, 6, 4, -31, -24, 0, 5],\n [0, 0, 0, 0, 30, 10, 3, 24, 18, -34, -29, -30],\n [0,... | 6 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[8, 14, 0, -1, -11, 8, 20, -28, -2, -24, 29, -18],\n [14, -28, 10, 13, 7, -2, 14, -8, 13, 12, -10, -5],\n [0, 10, 25, -6, -22, 12, -7, -4, -22, -22, 5, -8],\n [-1, 13, -6, -32, 20, 2, -31, -1, -32, 17, -22, 12],\n [-11, 7, -22, 20, 11, 18, -22, -24, 8, 8, 0... | 760 | MATH |
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