messages listlengths 1 1 | ground_truth stringlengths 1 3 | dataset stringclasses 1 value |
|---|---|---|
[
{
"content": "Compute |A| for the matrix A =\n[[8, -24, 11, 21, 22, 19, 0, -19, 4],\n [1, -6, 21, 14, 5, 8, 21, 20, 10],\n [25, 16, 0, 1, -9, -5, 11, 7, -23],\n [-20, 14, -13, 23, 16, -13, 25, -14, -17],\n [5, -23, -24, 1, 25, 11, -21, -3, -3],\n [21, 17, -16, 8, 3, -7, 14, -18, 3],\n [2, 1, 3, -16, -25, 25, 18... | 570 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-22, 15, -3, 13, -13, 20, -21, -14, -3],\n [8, -22, 14, -8, -3, 10, 23, 5, 9],\n [-16, -9, 11, 24, -20, 16, -12, 3, -5],\n [4, 14, -14, -25, 15, 18, -23, 25, 15],\n [-11, -21, -6, 0, 1, -17, 2, 17, 7],\n [-10, 24, -24, 0, -4, -24, -19, 7, -10],\n [18, -4, -13, 4, ... | 355 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-14, -20, 20, 13, -4, 21, 25, -5, 1],\n [-13, 16, -18, 10, -19, 0, 9, 23, -16],\n [20, -7, 5, 2, 18, -17, -8, -15, 23],\n [22, -6, -12, 25, 20, 7, -6, 3, -20],\n [19, 13, -15, -5, -7, 21, 4, -6, 16],\n [8, 22, -9, -14, -4, 24, -13, -24, -8],\n [24, 5, 12, ... | 948 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[12, 9, -24, -22, -1, 4, -1, -18, -22],\n [0, 22, -20, -25, -20, -4, 18, 11, 15],\n [0, 0, 1, -7, -12, -8, -4, -23, 6],\n [0, 0, 0, 24, 14, -24, 12, 12, 4],\n [0, 0, 0, 0, -7, -6, 20, 20, -15],\n [0, 0, 0, 0, 0, -9, 17, 8, 18],\n [0, 0, 0, 0, 0, 0, -2, 25, ... | 64 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[16, 4, 24, 5, -4, -23, -17, -18, 7],\n [0, 3, 15, -17, 10, -15, -16, 12, -10],\n [0, 0, -2, -23, 11, 10, 5, 21, -5],\n [0, 0, 0, -21, 21, -12, 18, 11, 10],\n [0, 0, 0, 0, -8, 7, 4, 10, 9],\n... | 240 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-22, -8, -20, -17, 24, 7, 22, -25, 18],\n [6, -16, -19, 11, -25, 7, 25, 10, -3],\n [18, 22, 25, -25, -25, -14, -20, -14, -1],\n [6, -10, 16, 14, 9, -14, -6, 11, -1],\n [5, -19, 4, -22, -20, ... | 118 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[2, 5, 2, -16, 3, -4, 5, 4, 20],\n [0, -13, 17, -20, -21, 1, -14, 21, -11],\n [0, 0, -23, 1, -17, 9, -2, 15, 23],\n [0, 0, 0, 4, 0, 0, -8, 18, -6],\n [0, 0, 0, 0, 2, -3, 8, 19, 8],\n [0... | 512 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-12, 21, 5, -8, 22, 12, 15, -19, 13],\n [0, -10, -7, 0, 3, 25, 9, 18, 22],\n [0, 0, 20, 0, 0, -20, -15, 20, 19],\n [0, 0, 0, -21, 18, 24, -8, -15, -10],\n [0, 0, 0, 0, 5, 8, 22, 11, -10],\n ... | 0 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[22, -18, 10, -2, 10, -10, 9, 6, 3],\n [-18, 25, 10, 1, -20, 4, -10, -1, 18],\n [10, 10, 11, -14, 17, -10, 20, 1, 22],\n [-2, 1, -14, 2, 1, 2, 7, 18, 6],\n [10, -20, 17, 1, 19, 4, 15, 15, -6],\n [-10, 4, -10, 2, 4, 9, 12, 6, 12],\n [9, -10, 20, 7, 15, 12, ... | 517 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-21, -14, -20, 0, -15, 20, 6, 18, 24],\n [0, -12, 24, 19, -25, -18, 14, 20, 9],\n [0, 0, 1, 25, 25, -3, -7, 25, 14],\n [0, 0, 0, -9, 13, -10, 18, -18, -11],\n [0, 0, 0, 0, -21, 9, 17, ... | 60 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[22, 14, 1, -2, 6, 14, 4, -2, 14],\n [14, 18, -7, -18, 4, -7, -3, -6, -4],\n [1, -7, 6, 24, -10, 6, -18, 5, 10],\n [-2, -18, 24, 3, -6, 6, -14, 6, 0],\n [6, 4, -10, -6, -13, 1, 13, 0, -... | 152 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-15, -18, 19, -13, -1, -2, -3, 9, -13],\n [8, -18, -10, 18, -1, 2, -24, 1, -17],\n [12, 25, 0, 3, -7, 2, -20, -13, 1],\n [-15, -16, -7, 10, -7, -24, 2, -21, 20],\n [-13, 7, 2, 23, -25, 10, 9, -1, -12],\n [-16, -13, -10, 16, -12, -24, -9, 7, 16],\n [-3, 13, -18, 15... | 152 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[16, -6, 11, 1, 5, 6, -10, 5, 11],\n [-6, 8, 4, -14, 16, -3, -16, 9, -3],\n [11, 4, 7, 5, 0, 4, 4, -12, -16],\n [1, -14, 5, 15, -6, -2, -8, 11, 8],\n [5, 16, 0, -6, -12, -11, 2, 1, 12],\n [6,... | 361 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[5, 2, -8, 10, -4, 10, -8, -10, -11],\n [2, 21, -12, -2, 0, 5, 12, -20, 16],\n [-8, -12, -24, -11, 13, 2, 3, 14, -18],\n [10, -2, -11, 3, 6, 8, -14, 4, -7],\n [-4, 0, 13, 6, -8, -12, 2,... | 93 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[4, -1, 10, 4, -20, -10, -17, -18, 0],\n [0, -14, 0, 10, 9, 22, 23, -4, 3],\n [0, 0, 2, -17, -1, 2, 20, 25, -18],\n [0, 0, 0, -17, 23, 19, 10, -21, -22],\n [0, 0, 0, 0, 15, -1, 0, -7, 1... | 0 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-21, 22, -22, 15, -6, -6, -3, 8, -1],\n [0, 16, -23, -12, 0, 7, -6, -4, -8],\n [0, 0, 8, 10, -6, -11, 14, -20, 23],\n [0, 0, 0, -1, -18, 21, 20, 0, -4],\n [0, 0, 0, 0, -23, 8, -16, -14, 7],\... | 360 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[15, -3, -6, 14, 7, -5, 16, 4, 0],\n [-3, -22, 10, 16, -18, 6, 10, 9, 4],\n [-6, 10, 23, -6, -14, 2, 1, 2, -8],\n [14, 16, -6, -6, -7, 10, 20, -10, 9],\n [7, -18, -14, -7, -22, -16, 16, -9, -2],\n [-5, 6, 2, 10, -16, 12, 4, -13, -1],\n [16, 10, 1, 20, 16, ... | 156 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[5, 0, 6, 11, 18, 2, -14, -2, 23],\n [0, 23, -4, 15, 5, 12, -6, 11, -20],\n [6, -4, 7, -6, 2, 4, 12, 3, 6],\n [11, 15, -6, -4, 18, -13, 16, -13, -2],\n [18, 5, 2, 18, 10, -18, 10, 8, -16],\n [2, 12, 4, -13, -18, -7, 6, -2, 10],\n [-14, -6, 12, 16, 10, 6, 0... | 580 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[11, 25, 21, 20, 9, -7, -19, -11, -3],\n [0, 1, 12, 21, 23, -23, -16, 19, 2],\n [0, 0, 13, -20, 14, -23, -1, 20, 18],\n [0, 0, 0, -25, -22, -5, -1, 6, -21],\n [0, 0, 0, 0, 13, 6, 25, -4... | 200 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[24, -10, -16, 7, 6, 23, 16, 19, 20],\n [20, 14, 0, 1, 6, -8, -1, -7, 12],\n [6, -13, -13, -18, 5, -7, 23, 2, 22],\n [16, 12, -21, -10, 23, -22, -25, 16, -4],\n [-17, 12, -9, -1, -18, 2... | 357 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-3, 16, -18, 12, 13, 6, -24, 13, 9],\n [-21, -6, -18, 15, -15, -6, -1, -8, -17],\n [-17, 6, 12, 15, -8, 9, 7, 12, -23],\n [-1, -5, -1, 3, 14, -7, -23, 22, -12],\n [-22, 13, -13, 16, -21, 18, 4, -12, 24],\n [-3, 0, -17, 14, -12, 3, 13, -11, 18],\n [12, 4, -... | 22 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[1, -15, 14, -20, 22, -17, 8, -14, 11],\n [18, -16, -22, -7, 25, 1, -25, -5, 7],\n [1, 9, -20, -21, -11, -21, 1, 12, -10],\n [4, 16, -11, 24, -13, 17, 3, -7, 9],\n [8, -15, -22, -24, 17... | 28 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[9, 8, 23, 16, -10, -18, 19, 1, -15],\n [0, 25, -20, 10, 15, 1, 24, 14, 12],\n [0, 0, -1, 10, -18, -20, -4, 6, -24],\n [0, 0, 0, -10, -17, 20, -23, -25, -18],\n [0, 0, 0, 0, -3, 12, 20, -20, -5],\n [0, 0, 0, 0, 0, -11, 3, -8, 2],\n [0, 0, 0, 0, 0, 0, 24, -17, 2],\n... | 0 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-13, -11, -16, 10, 0, 18, -17, -1, 13],\n [-11, 17, -4, 4, -15, -5, -8, 11, 2],\n [-16, -4, 14, 6, -14, 2, -4, 3, -6],\n [10, 4, 6, -2, -6, -2, 2, 2, 6],\n [0, -15, -14, -6, -13, 18, -... | 818 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[24, 6, 18, 4, 8, -19, 5, 16, 5],\n [6, 16, 0, 2, 6, 16, 6, 9, 6],\n [18, 0, 19, -12, 12, 12, -18, -18, 16],\n [4, 2, -12, -19, -10, 1, -2, -6, 0],\n [8, 6, 12, -10, -22, -16, 0, 2, -9]... | 411 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-22, -8, -14, 13, -22, 10, 5, -12, -9],\n [0, 5, -12, 1, -23, -16, 23, 15, -7],\n [0, 0, -21, 2, 8, 14, -3, -20, 18],\n [0, 0, 0, 25, -14, 23, -3, 21, 2],\n [0, 0, 0, 0, -19, 5, 15, 6, 23],\... | 0 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[22, -12, 10, 20, 5, -6, -6, 4, -6],\n [-12, 25, 8, 4, -3, -6, 11, -2, 6],\n [10, 8, -5, 14, 4, -11, 0, 1, -21],\n [20, 4, 14, -4, 2, -11, -7, -6, 20],\n [5, -3, 4, 2, 25, -8, -22, 12, -8],\n... | 439 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[12, 18, -16, 1, -1, -19, 4, 3, -3],\n [18, -2, -11, 1, 14, -3, 10, 0, -22],\n [-16, -11, 22, 12, 5, 18, 18, 6, 10],\n [1, 1, 12, -17, 1, -7, -10, 0, -6],\n [-1, 14, 5, 1, 25, -19, 13, ... | 445 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-16, -11, 13, 14, -14, -14, -19, -19, -8],\n [4, 12, -4, 7, 4, -13, 5, 3, -22],\n [-13, 7, -11, 9, 6, 8, 4, 23, 8],\n [-7, -6, 17, 13, 21, 0, 6, 22, -10],\n [-23, 0, 12, 1, -1, -18, 5, 3, -10],\n [14, -25, 0, 19, 3, -3, 19, -1, -5],\n [-13, -23, 9, 21, -13... | 338 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-19, -16, -12, 0, 18, -4, 2, -1, 14],\n [-16, -25, 4, 1, -8, 0, 12, 4, -2],\n [-12, 4, -3, -11, -1, 2, -7, -17, -10],\n [0, 1, -11, -7, 7, -4, 10, 12, -4],\n [18, -8, -1, 7, 10, 8, -12, -13, -8],\n [-4, 0, 2, -4, 8, 4, 0, -4, 4],\n [2, 12, -7, 10, -12, 0, -13, -6,... | 48 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[9, 23, -13, -23, -5, -16, 25, 2, -19],\n [-20, -8, -11, -5, -13, -6, -25, 4, -25],\n [15, 4, 18, 3, 18, 24, 13, 4, -17],\n [-19, 11, -16, -14, -19, -16, 20, -21, 23],\n [-24, 6, 3, -1,... | 824 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-14, 20, -17, 11, -17, -15, -5, -10, 17],\n [24, 22, -16, -20, -7, -17, 25, -15, 17],\n [-9, 13, 1, 0, 11, 20, -15, -24, -15],\n [4, -13, -17, 20, -25, -22, 15, 13, 1],\n [6, -20, -11,... | 679 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[21, -2, 0, -6, -14, -6, -2, 14, -7],\n [-2, 25, 8, -1, -9, 16, -16, 16, 5],\n [0, 8, 2, 12, -4, -13, 2, -14, -4],\n [-6, -1, 12, 16, 22, -22, 18, -12, 4],\n [-14, -9, -4, 22, -14, -10, 0, -12, -2],\n [-6, 16, -13, -22, -10, -1, -10, -4, 12],\n [-2, -16, 2, 18, 0, ... | 708 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-15, 6, -22, -6, 2, 1, -1, -2, -18],\n [6, -25, -4, 1, -2, 4, 0, 2, 16],\n [-22, -4, -11, 2, -12, 4, 3, -10, -16],\n [-6, 1, 2, 9, -5, -16, 8, -8, 22],\n [2, -2, -12, -5, -6, -22, -9, -6, -1... | 568 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[4, 16, -7, 4, -6, -4, 13, 1, 2],\n [16, 21, -10, -14, 4, 16, 23, -8, 12],\n [-7, -10, 0, -8, 10, 19, -18, -2, 16],\n [4, -14, -8, 24, 14, 14, -10, 10, -6],\n [-6, 4, 10, 14, -18, -2, -14, 13, 4],\n [-4, 16, 19, 14, -2, 4, 6, 12, -11],\n [13, 23, -18, -10, -14, 6, ... | 452 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[17, -4, 2, 24, -3, 5, -8, 19, 13],\n [0, -11, -6, -24, -24, 13, -21, 15, -12],\n [0, 0, 4, -24, 0, 10, 11, -15, -18],\n [0, 0, 0, 24, -2, 14, -15, 14, 5],\n [0, 0, 0, 0, -13, -11, 24, 8, 8],\n [0, 0, 0, 0, 0, -16, 16, -16, 7],\n [0, 0, 0, 0, 0, 0, -7, 0, ... | 360 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[6, -1, -2, -7, -21, 6, -6, -12, 14],\n [-1, -19, 18, 18, -4, 4, -10, 1, 14],\n [-2, 18, 1, -3, 12, -8, -8, 24, 6],\n [-7, 18, -3, -23, 1, 2, 10, -17, -5],\n [-21, -4, 12, 1, 14, 8, -22, -23, -2],\n [6, 4, -8, 2, 8, -19, 4, 3, -4],\n [-6, -10, -8, 10, -22,... | 376 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-7, 12, 7, 6, -8, -2, -4, 17, -11],\n [12, -24, 4, 4, 10, 16, 11, 4, 6],\n [7, 4, 8, 1, 0, 9, 12, 9, -4],\n [6, 4, 1, -7, 2, 14, 2, 16, 4],\n [-8, 10, 0, 2, -22, -12, 6, 23, -4],\n [-2, 16, ... | 878 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[1, -15, 2, 22, 6, 14, -6, 25, -18],\n [2, 2, 1, 12, 2, 19, 13, -24, 25],\n [23, -8, -5, 0, -3, -7, -12, 7, -18],\n [15, 7, 13, 18, -20, -5, 18, 24, -12],\n [15, -22, -22, 9, -5, 4, -1, -25, -18],\n [-8, 4, -7, 13, 5, 18, -14, -18, 1],\n [25, -6, -5, -15, -8, -20, ... | 112 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-16, -7, 3, -15, -13, 10, -5, -10, 11],\n [5, -23, 10, 10, 21, -17, -25, 22, 16],\n [14, 25, -16, -21, -9, 25, 5, -6, -24],\n [20, 10, 20, 20, -13, -19, 10, 5, 14],\n [-12, -10, 14, -1, 20, 15, 22, -17, -21],\n [10, -9, -17, 24, 22, -9, 21, 10, 20],\n [-2... | 119 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-6, 7, -2, -15, -9, 4, 2, -10, -2],\n [7, -24, -10, -10, -14, 18, 7, -9, -14],\n [-2, -10, -16, -2, 22, -10, 11, -7, 16],\n [-15, -10, -2, 2, 4, -3, 22, 2, -24],\n [-9, -14, 22, 4, 14, 1, 2,... | 835 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-15, 6, 23, 25, -2, -14, -13, -1, -7],\n [-12, -19, 20, -4, -8, 22, 4, -8, -9],\n [-20, 19, 21, -25, -12, 3, -5, -16, 2],\n [-6, 23, -14, -2, -15, 9, -3, -11, 12],\n [-3, 2, 0, -7, 0, 14, -14, -16, -18],\n [-25, -12, 14, 16, 10, -20, 1, -12, -20],\n [-1, ... | 480 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-5, 4, -2, 0, -2, 7, -2, -23, 6],\n [4, -10, 14, -12, -6, -8, 16, -2, 5],\n [-2, 14, -4, -11, 12, -13, 12, 10, 2],\n [0, -12, -11, -18, 4, -22, -16, -2, -3],\n [-2, -6, 12, 4, -5, -22, 0, 2, 4],\n [7, -8, -13, -22, -22, -7, 8, 21, -12],\n [-2, 16, 12, -16, 0, 8, 1... | 68 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[5, 25, 22, 3, 7, 4, 5, -11, -19],\n [0, -24, -18, 2, -3, -18, 5, -5, 10],\n [0, 0, 1, -24, 15, 11, -11, 25, 12],\n [0, 0, 0, -16, 21, 19, 9, -6, 15],\n [0, 0, 0, 0, 1, -18, 22, 24, 9],\n [0, 0, 0, 0, 0, 1, 11, -10, 11],\n [0, 0, 0, 0, 0, 0, -4, 1, -5],\n [0, 0, 0,... | 0 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[23, 0, 7, -20, 0, 8, 0, 10, -6],\n [0, -22, 17, 8, -2, -5, -3, -4, 4],\n [7, 17, -5, 14, -10, 0, -18, 12, 12],\n [-20, 8, 14, 13, 24, 8, -10, -2, -12],\n [0, -2, -10, 24, 11, 10, -2, -8, -6],\n [8, -5, 0, 8, 10, 20, -8, -1, 8],\n [0, -3, -18, -10, -2, -8,... | 616 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[8, -5, 8, 12, 21, 11, -18, 0, 7],\n [0, 13, 23, -16, -10, 8, -17, 11, -10],\n [0, 0, 24, -17, -6, 10, 15, -18, 20],\n [0, 0, 0, 7, -11, 20, -15, 25, -23],\n [0, 0, 0, 0, 18, -2, 12, 24, -11]... | 800 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-4, 19, 4, -6, -7, 16, -22, 10, -16],\n [19, -14, 19, -6, -16, 18, 0, -18, 10],\n [4, 19, 15, -13, 10, 6, -8, 12, 7],\n [-6, -6, -13, -14, 11, -16, 20, 8, 6],\n [-7, -16, 10, 11, 22, -2, -10, 4, 6],\n [16, 18, 6, -16, -2, 0, -20, -23, 7],\n [-22, 0, -8, 2... | 12 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-11, -11, 11, 23, -20, 2, 20, 0, 2],\n [11, 15, -25, 11, -8, -10, -8, 19, 18],\n [4, -4, -7, -23, -17, -24, -8, -1, -6],\n [5, -12, -1, -10, 0, 12, 9, -13, 4],\n [-13, -25, -8, -8, 13, 2, -24, 0, 8],\n [-18, -19, -3, 4, 17, 9, -4, 6, 23],\n [-1, -18, 22, -21, 14, ... | 984 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-5, -24, -16, 20, 12, 9, -2, -17, 7],\n [-12, 10, 24, 23, 10, 0, -7, 0, -21],\n [-25, -2, -13, 24, 18, 23, -11, 19, -12],\n [-9, 24, -23, 12, -2, 14, -18, 10, -6],\n [22, 16, 4, 3, -19, 4, -19, 7, 6],\n [-19, -8, -14, 16, 1, -4, -20, -6, -21],\n [-24, 21, ... | 383 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[20, -16, -20, 17, -13, 3, -21, 9, -20],\n [-11, 8, -14, -8, 25, 20, 25, -23, -24],\n [22, -10, 21, 1, 20, 7, -23, -6, -13],\n [10, 3, 0, 15, -6, 21, 0, -1, -7],\n [-25, 2, 2, 6, -23, -19, 6, 2, -21],\n [-14, -19, 3, -9, 4, -2, -7, 15, 10],\n [-22, -11, -1... | 64 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-20, 14, 25, -9, -17, 3, -8, 21, 0],\n [0, -8, 10, -1, 7, 23, 12, 24, -10],\n [0, 0, -25, 13, 14, 21, -16, 16, 15],\n [0, 0, 0, 24, -17, -11, 14, 15, 3],\n [0, 0, 0, 0, -12, 3, -13, -6... | 0 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-7, 4, -7, 14, 0, -2, -10, -2, 16],\n [4, 22, 10, -7, -12, -9, -16, 2, 5],\n [-7, 10, -16, 0, -16, -9, 0, 5, 16],\n [14, -7, 0, -6, -6, -21, 2, 2, -7],\n [0, -12, -16, -6, 8, -8, 14, 18, 3],\n [-2, -9, -9, -21, -8, 11, -16, -16, -2],\n [-10, -16, 0, 2, 14,... | 915 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[23, 0, -1, 9, -8, -24, 19, -18, 9],\n [0, 11, -20, -19, -25, -21, 16, 11, -2],\n [18, 24, -23, -17, 18, -16, 24, -18, 14],\n [-23, -18, 12, -6, -16, -6, 16, -17, 5],\n [0, -7, -24, -1, -8, 15, 18, 11, 9],\n [-1, -6, 11, 19, 19, -4, 5, -3, 10],\n [-8, -14, 0, 15, -... | 419 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[20, 9, -8, -23, -24, -4, 22, 7, -18],\n [0, -12, -5, 12, -4, 0, 23, -23, 1],\n [0, 0, 19, -15, -16, -24, 9, -14, 17],\n [0, 0, 0, -11, -9, 8, -13, 23, 13],\n [0, 0, 0, 0, 14, 19, -7, 5, -8],\n [0, 0, 0, 0, 0, -9, -25, 0, 15],\n [0, 0, 0, 0, 0, 0, 5, -17, 4],\n [0,... | 600 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-1, 5, 11, 25, 25, 6, 5, 1, -7],\n [0, 7, 12, -13, 7, 10, -19, -16, -18],\n [0, 0, 14, -9, -12, -8, -12, 4, -4],\n [0, 0, 0, 16, 16, 11, -25, -25, -25],\n [0, 0, 0, 0, -24, 18, 3, 10, 24],\n... | 96 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-24, 17, -14, -1, 15, 4, 16, -15, -2],\n [0, 5, 2, 25, 23, -10, 22, 22, 4],\n [0, 0, -25, 14, 5, 19, 17, -17, 8],\n [0, 0, 0, 14, -13, -8, 2, 9, -6],\n [0, 0, 0, 0, -25, -2, -24, -7, 21],\n [0, 0, 0, 0, 0, -23, 18, -21, -7],\n [0, 0, 0, 0, 0, 0, 12, -16, 11],\n [0... | 0 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-11, 12, 4, 19, -15, -9, 21, -19, -5],\n [0, 18, -12, 13, 22, -7, -2, 22, 11],\n [0, 0, 24, 18, -24, 24, 21, 13, -18],\n [0, 0, 0, 5, 8, 11, 13, -16, 24],\n [0, 0, 0, 0, 3, 20, 17, 5, -2],\n [0, 0, 0, 0, 0, 14, -6, 13, -20],\n [0, 0, 0, 0, 0, 0, 22, -4, -4],\n [0,... | 320 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-1, 19, -20, -14, 1, -9, -8, -9, 25],\n [0, -7, -9, -11, 7, 19, -10, 21, -24],\n [0, 0, 3, 13, -6, -23, -20, -11, -19],\n [0, 0, 0, 10, -18, -4, -14, -7, -21],\n [0, 0, 0, 0, 13, 22, -16, -3, -13],\n [0, 0, 0, 0, 0, 13, 22, 19, -15],\n [0, 0, 0, 0, 0, 0, -... | 760 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[9, -6, 17, 2, 8, 6, -2, -8, -16],\n [-6, -16, -10, 2, 6, -19, -16, -1, 8],\n [17, -10, 11, -3, 21, -12, 6, -11, 15],\n [2, 2, -3, 4, 10, -10, 12, -2, 2],\n [8, 6, 21, 10, 20, -10, 14, 11, -4],\n [6, -19, -12, -10, -10, -19, 4, 6, 12],\n [-2, -16, 6, 12, 14... | 943 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-24, -18, 9, -6, 23, 16, -6, -11, 2],\n [0, -21, -8, -14, 8, 4, -22, 8, -4],\n [0, 0, -23, -20, -14, 19, 18, -19, -14],\n [0, 0, 0, -21, 13, -6, 2, 9, -18],\n [0, 0, 0, 0, -24, 4, 18, -18, 5],\n [0, 0, 0, 0, 0, -5, 16, -11, -8],\n [0, 0, 0, 0, 0, 0, -22, -11, -3],... | 680 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[3, 23, -10, 18, 10, 1, 16, -18, -7],\n [0, 5, -14, -23, -8, -10, -16, -4, -25],\n [0, 0, 19, -3, 18, 12, -20, -19, 5],\n [0, 0, 0, -20, 21, 13, -6, -14, 25],\n [0, 0, 0, 0, 17, 1, 14, ... | 400 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[1, 20, -16, 15, 12, 24, 5, 13, -10],\n [4, 14, 7, 19, 1, 21, -18, 5, 4],\n [-7, -3, 13, 16, 22, -19, -17, 1, 21],\n [-15, -17, -8, 21, -18, 10, -17, 19, -21],\n [-23, 22, -16, -24, 21, -14, 25, 4, 19],\n [19, 9, 1, -20, -2, -13, -18, -24, 3],\n [9, -16, 25... | 7 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[17, -23, -11, 11, -15, 21, 13, -18, -24],\n [0, 17, 17, 0, -11, 22, 7, 14, -8],\n [0, 0, -4, 1, -19, 14, -4, 14, 6],\n [0, 0, 0, 3, -4, -13, -9, -23, 13],\n [0, 0, 0, 0, -22, 4, 14, -16, 1],\n [0, 0, 0, 0, 0, -8, 22, 22, 2],\n [0, 0, 0, 0, 0, 0, 8, 3, -16]... | 232 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-16, -22, 16, -25, -19, 16, -14, 15, 7],\n [0, 2, 8, 24, -18, 25, 21, 7, 2],\n [0, 0, -14, -18, -3, -18, 12, -18, -14],\n [0, 0, 0, 6, -16, 10, 5, -17, -9],\n [0, 0, 0, 0, -11, 19, 6, ... | 400 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-19, 23, 13, 11, -22, -19, -8, -4, 20],\n [0, 14, -8, -24, -24, 0, -9, 8, -15],\n [0, 0, -1, -9, -6, -22, 23, -17, 2],\n [0, 0, 0, 12, 18, 11, 14, 22, -2],\n [0, 0, 0, 0, 22, -20, 18, -7, 14],\n [0, 0, 0, 0, 0, 17, 18, 14, 3],\n [0, 0, 0, 0, 0, 0, 23, -15... | 80 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[0, 14, -2, -9, 16, -5, 14, -5, -14],\n [14, -24, 6, 6, -6, -10, 9, 10, -4],\n [-2, 6, -14, 10, -8, -24, 10, 1, -10],\n [-9, 6, 10, -18, -14, 10, 7, -6, -6],\n [16, -6, -8, -14, -9, -18, -2, 2, -14],\n [-5, -10, -24, 10, -18, -23, -4, -4, 12],\n [14, 9, 10,... | 311 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[19, 19, 15, -14, -7, 7, 15, 19, 8],\n [0, -5, 3, 19, -4, -24, -13, -11, 4],\n [0, 0, 6, -12, -23, 24, -2, -7, 25],\n [0, 0, 0, -24, 14, 23, 14, -4, 24],\n [0, 0, 0, 0, -25, -15, 23, -20, 21]... | 0 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[9, -8, 2, 18, 15, 0, -23, 0, -2],\n [-8, -18, -12, 7, 15, -7, -2, 17, 9],\n [2, -12, -12, 8, 8, 4, -2, 1, -4],\n [18, 7, 8, 6, 12, -24, -4, -5, 6],\n [15, 15, 8, 12, 23, -13, 2, -22, 0],\n [0, -7, 4, -24, -13, -8, -12, -12, -17],\n [-23, -2, -2, -4, 2, -12, -11, -... | 544 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-13, 12, 13, 13, -18, 10, -25, -7, -18],\n [4, 19, 12, -14, -4, 12, 24, 15, -10],\n [8, -10, -25, 11, -7, -3, -13, -2, -20],\n [16, -14, -2, -23, -13, 8, 10, 25, -15],\n [2, -25, -17, 20, 24, -15, 7, -16, 16],\n [24, -12, 17, -21, -25, -25, -20, 1, 13],\n ... | 100 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[3, 24, -2, 10, 19, -9, -8, 9, -24],\n [0, 21, -10, -14, 20, 21, 23, -18, 4],\n [0, 0, 17, 19, 18, 15, 13, 13, 9],\n [0, 0, 0, -7, -20, -21, 13, 8, -6],\n [0, 0, 0, 0, 23, 7, 17, 5, -11],\n [0, 0, 0, 0, 0, -16, 13, 15, -22],\n [0, 0, 0, 0, 0, 0, -25, 7, -1... | 800 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[12, 2, -4, -8, 19, 0, -21, -24, -4],\n [0, -4, 2, -24, -3, 2, 25, -7, -7],\n [0, 0, 6, -10, -18, 11, 8, -2, 1],\n [0, 0, 0, 17, -8, -16, 16, -25, 5],\n [0, 0, 0, 0, -23, -1, -16, 22, 6],\n [0, 0, 0, 0, 0, 21, 9, -19, -24],\n [0, 0, 0, 0, 0, 0, 19, -17, 25],\n [0, ... | 56 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[4, -10, 4, -9, 22, 10, 16, 6, 12],\n [-10, 1, -4, -8, 6, -2, 15, 15, -11],\n [4, -4, -1, -22, -2, -3, -5, -4, -11],\n [-9, -8, -22, 3, -14, 4, 0, 5, -6],\n [22, 6, -2, -14, 9, -10, -22, -2, -10],\n [10, -2, -3, 4, -10, -16, 6, 1, 0],\n [16, 15, -5, 0, -22,... | 321 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[13, 4, -2, -18, 1, -6, -8, -2, -19],\n [4, 6, -11, 12, 5, -2, 15, -12, 9],\n [-2, -11, 3, 12, -6, 3, 18, 0, -8],\n [-18, 12, 12, 0, 5, 5, -2, -6, 5],\n [1, 5, -6, 5, -15, 0, -10, -8, -... | 246 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-12, 19, -12, 3, -20, -14, 15, -25, 19],\n [0, 7, -17, 18, 10, -9, -20, 0, -18],\n [0, 0, -7, -20, 2, 7, 9, -19, 18],\n [0, 0, 0, -6, 25, 15, 16, -10, -4],\n [0, 0, 0, 0, 18, -19, -13, 16, 22],\n [0, 0, 0, 0, 0, 10, 6, 17, 19],\n [0, 0, 0, 0, 0, 0, 15, -11... | 200 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-16, 12, -23, 6, -9, 9, -22, -4, -17],\n [0, -6, 10, -4, 2, -16, -15, -24, -5],\n [0, 0, -8, 10, 20, 24, 7, 8, -6],\n [0, 0, 0, -14, 2, -8, -6, 17, -25],\n [0, 0, 0, 0, -6, 25, -25, -7... | 560 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[2, 15, -12, -11, 16, -20, -15, 5, -19],\n [0, 9, 14, -19, -3, 7, -17, 18, -15],\n [0, 0, 21, 24, -9, 7, 23, -21, 17],\n [0, 0, 0, -19, -4, 14, -2, 4, 24],\n [0, 0, 0, 0, -21, -4, 19, -20, 3]... | 800 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-15, 2, -25, -5, 4, -22, -14, 8, -2],\n [2, 4, 22, 2, -16, 18, -18, -4, 2],\n [-25, 22, -25, 2, -8, 12, -12, 14, 20],\n [-5, 2, 2, -11, -20, 4, 8, 0, 4],\n [4, -16, -8, -20, 17, 8, -22, -4, 12],\n [-22, 18, 12, 4, 8, 12, -24, 5, -7],\n [-14, -18, -12, 8, ... | 112 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-14, 16, 19, 3, 14, 22, -4, -3, 8],\n [0, -25, 16, 19, 0, 14, -5, 14, 23],\n [0, 0, 20, 0, -22, -21, -6, -10, 25],\n [0, 0, 0, 16, -1, -4, -12, 22, -21],\n [0, 0, 0, 0, -23, -18, -8, 10, 18],\n [0, 0, 0, 0, 0, -5, -9, -7, -3],\n [0, 0, 0, 0, 0, 0, 25, -18... | 0 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[21, -15, 18, 20, 14, 0, -15, -16, 9],\n [-15, -21, 0, 13, 6, -14, 10, 2, 13],\n [18, 0, -25, -15, 6, -19, -8, 8, -12],\n [20, 13, -15, -3, 7, -8, -4, 6, -6],\n [14, 6, 6, 7, -24, -14, 6, 6, ... | 384 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[22, 24, -17, 18, 15, -14, 22, -11, 24],\n [16, 24, -7, 13, 22, 19, 20, 2, 15],\n [-4, -20, 17, -20, 13, -11, 17, 0, -23],\n [-2, -18, 3, -18, -11, -4, -3, 2, -20],\n [15, -2, -8, 6, -25, -2, 23, -4, -11],\n [-1, -11, 20, -18, 9, 3, -20, -11, 12],\n [2, 17, -4, 7, ... | 226 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-9, 18, -9, -13, 14, -13, -18, -18, 8],\n [22, 13, -4, 14, -19, -25, 8, 5, -10],\n [16, 24, 1, -3, 17, 5, -3, 15, 7],\n [20, -16, -19, -25, 4, -19, 4, -11, 5],\n [10, -10, -21, 0, -6, ... | 658 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[24, 23, -22, -18, 8, 22, -2, 12, -2],\n [12, 15, 4, 23, 20, 5, -1, -20, -22],\n [-3, -10, -20, 9, -13, 20, 3, 22, -23],\n [2, -12, -4, 24, 23, 25, -10, 16, -22],\n [-25, -8, -9, -5, -20, -15... | 90 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-18, -5, -9, 12, 5, 13, 0, 0, -18],\n [0, 16, 4, -15, -9, 23, -22, -13, 22],\n [14, -9, 5, 17, 22, -2, 1, 0, 12],\n [-2, 11, 7, -12, 19, -13, -21, 0, -25],\n [-8, 4, -16, -3, 19, 25, -... | 147 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-2, 3, -11, -16, 2, 0, -14, -3, -8],\n [3, -19, -1, 18, -15, -8, 2, -21, -3],\n [-11, -1, 16, -6, 5, -8, -12, -12, 4],\n [-16, 18, -6, -12, -12, -3, 8, -4, 5],\n [2, -15, 5, -12, -9, -2, 12, 22, -16],\n [0, -8, -8, -3, -2, -18, 0, 2, 22],\n [-14, 2, -12, ... | 622 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-17, -4, 22, -25, -17, -12, -24, 2, 6],\n [-11, 9, -5, 21, 5, 17, 23, 3, 0],\n [-22, -10, 10, -4, -25, 22, -1, -25, 12],\n [21, -22, 15, 15, -13, 3, 14, -10, -22],\n [-4, -13, -10, 8, 4, 18, -24, -25, 9],\n [-18, -4, -18, 16, 12, -4, -11, 19, 14],\n [-24, ... | 768 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[8, 17, -2, 7, -18, 12, -14, 5, -2],\n [17, 16, 0, 0, 2, -10, 6, -6, -4],\n [-2, 0, -12, 8, -10, -2, -6, -6, 14],\n [7, 0, 8, 2, -4, 7, 0, -6, -7],\n [-18, 2, -10, -4, -4, -9, 9, 8, -17],\n [12, -10, -2, 7, -9, -16, -12, 8, 3],\n [-14, 6, -6, 0, 9, -12, 20... | 148 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-1, -7, -22, 18, -3, 10, -23, 20, -6],\n [-21, 21, -16, 11, -7, -22, -9, 13, -23],\n [11, 8, -3, -10, -6, 14, -1, -25, 0],\n [-20, 15, -18, 13, 3, -6, -24, -25, -4],\n [25, 20, 12, 24, 15, 1, -2, 12, -6],\n [16, -5, -19, 11, 17, 6, -11, 17, 9],\n [-18, 21,... | 744 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[23, 10, -8, -11, 9, 8, -2, 0, 4],\n [10, -9, -12, 5, 18, -4, 15, -4, -15],\n [-8, -12, 23, 4, 6, -6, 0, 17, -16],\n [-11, 5, 4, -3, 0, -10, 6, 2, 1],\n [9, 18, 6, 0, 25, -12, -13, 3, 4],\n [8, -4, -6, -10, -12, -13, 6, 14, -5],\n [-2, 15, 0, 6, -13, 6, 4, ... | 862 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[20, 13, 25, 22, -13, -9, 21, -8, -14],\n [19, -1, -23, 22, 15, -18, -6, -10, 14],\n [-1, 6, -1, -12, 3, -16, -17, 16, -6],\n [-14, -25, -20, -21, -24, 10, 0, -5, -7],\n [10, -18, -25, ... | 354 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-5, 12, 20, -25, -22, -11, 10, 8, -17],\n [0, 17, -23, 14, -6, 14, 22, 8, -3],\n [0, 0, -18, -14, 3, -4, 5, -8, 8],\n [0, 0, 0, 19, 16, 25, -2, -7, 8],\n [0, 0, 0, 0, 25, 5, -8, -21, -9],\n ... | 750 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[12, 11, -21, 6, 13, 4, 13, -3, -7],\n [25, -23, 18, 14, 23, -2, 10, -23, 21],\n [5, -1, -6, 22, -12, -22, 0, -24, 12],\n [7, -18, -13, 2, -6, 3, -13, 8, -10],\n [6, -14, -22, 13, -12, -14, 4, -25, -1],\n [-1, 24, -5, 24, -24, 22, 13, -1, 4],\n [-18, -10, -... | 888 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[15, 22, -16, -15, -20, -21, 3, 19, -23],\n [5, -1, -14, -11, 21, -24, -13, 24, -23],\n [-3, 19, 11, -5, -17, 23, -3, -23, 21],\n [0, 16, -22, -17, 20, 9, -7, -2, 23],\n [12, -1, -3, -2... | 145 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-4, -14, 15, 13, 24, 5, -20, 8, 21],\n [0, -12, 18, -19, 11, -3, -11, 2, 8],\n [0, 0, 4, -14, 24, -9, -24, 11, -5],\n [0, 0, 0, -11, 16, 18, -5, -21, 10],\n [0, 0, 0, 0, -23, -4, -14, 1, -12],\n [0, 0, 0, 0, 0, -20, 14, -18, -16],\n [0, 0, 0, 0, 0, 0, -24... | 800 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[4, -12, -8, -4, -19, 4, 21, 15, -10],\n [-12, -21, -4, -15, -13, 6, 4, -2, -6],\n [-8, -4, 4, 5, -15, 3, -4, -4, 8],\n [-4, -15, 5, 14, 4, 0, -2, 2, 0],\n [-19, -13, -15, 4, 7, 0, -14, 2, -2... | 308 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[5, -20, 7, 22, 25, 15, 21, 21, 6],\n [0, 22, 19, 23, -7, -14, -1, 17, 25],\n [0, 0, -6, 24, 10, 5, -9, 12, 7],\n [0, 0, 0, -1, -19, 15, 3, 3, -6],\n [0, 0, 0, 0, 19, -21, 16, -23, 15],... | 400 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[10, 23, -2, -7, -20, -22, -13, 18, 14],\n [17, -5, -2, -7, -18, 21, 1, -6, -1],\n [18, 24, -1, 14, 22, -1, -2, -13, 1],\n [-6, -15, 13, -23, 22, 1, -13, 5, -20],\n [-24, 12, 6, 6, 17, -10, 13, 13, -12],\n [15, -12, 4, -6, 1, 23, 23, -10, 14],\n [15, 15, 23... | 184 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-14, 23, 10, 9, -13, -11, 25, 14, -14],\n [-3, -25, -11, -18, 21, -11, -15, 21, -12],\n [13, -12, 20, 14, -10, -19, 7, -2, 21],\n [-5, -3, -21, 2, 14, -17, -12, 24, 12],\n [19, 16, 20, 5, -15, 0, -20, 17, 10],\n [-5, 21, 2, 0, -9, -22, -12, -2, 17],\n [3, ... | 128 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[13, -22, -2, 10, 17, -6, -12, 23, 18],\n [0, -11, 25, 10, -1, 15, 8, -16, 5],\n [0, 0, -8, -4, -3, 6, 5, 24, 1],\n [0, 0, 0, 17, 21, -5, -15, -3, 10],\n [0, 0, 0, 0, 17, -15, -4, 24, 0],\n [0, 0, 0, 0, 0, 22, -6, 4, -2],\n [0, 0, 0, 0, 0, 0, 10, 25, 14],\... | 200 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[10, -16, -3, 1, -12, 21, -7, -15, -7],\n [0, -21, 14, -7, 10, 7, 25, -21, 10],\n [0, 0, 14, -3, 16, -8, 17, -22, 2],\n [0, 0, 0, -23, -7, 7, 20, -3, 6],\n [0, 0, 0, 0, 1, -15, -21, 25, 11],\n [0, 0, 0, 0, 0, -10, 17, -19, 12],\n [0, 0, 0, 0, 0, 0, -22, 20... | 0 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-11, 7, 12, -21, 6, 2, 2, -12, 9],\n [7, -5, -14, 8, 0, 2, -18, -22, -2],\n [12, -14, 6, -9, 7, 4, 8, -16, -8],\n [-21, 8, -9, 4, 4, -2, -8, -18, -14],\n [6, 0, 7, 4, -9, -20, -10, 8, -12],\n [2, 2, 4, -2, -20, 12, -12, 8, 8],\n [2, -18, 8, -8, -10, -12, -... | 680 | MATH |
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