messages list | ground_truth string | dataset string |
|---|---|---|
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[8, 21, -2, -16, 12, -23, 30, -10, 8, 27],\n [0, -8, -20, -20, -7, 22, 5, 9, -7, -28],\n [0, 0, -29, -7, 13, -1, 7, -29, 29, -10],\n [0, 0, 0, -9, 30, 13, -6, 18, -4, 28],\n [0, 0, 0, 0, -16, 16, 20, 13, 2... | 29 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[17, -16, -23, -17, -8, 29, 26, 9, -10, -15],\n [0, -13, 16, 22, -7, -5, -6, 29, 29, 29],\n [0, 0, -2, -16, 14, -30, -6, -24, -22, -7],\n [0, 0, 0, -7, -20, 20, -14, -23, 4, 4],\n [0, 0, 0, 0, 8, 27, 10, -3, -24, -22],\n [0,... | 109 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-2, 8, -10, -2, -23, 14, 14, -19, -16, -24],\n [8, 14, 3, 24, -10, -1, -16, -8, 18, 7],\n [-10, 3, 27, 22, 0, -6, -10, 0, -8, 27],\n [-2, 24, 22, -18, 15, -9, 13, -1, -14, -9],\n [-23, -10, 0, 15, 11, 17,... | 73 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-9, -20, 17, -15, 2, -22, 29, 28, -25, -15],\n [0, -28, -11, 29, 28, 5, -12, -5, -28, -12],\n [0, 0, -24, 21, 10, 2, 9, 8, -13, 9],\n [0, 0, 0, 26, -6, 19, -8, 0, -1, 11],\n [0, 0, 0, 0, -5, 17, 26, 21, 29, 18],\n [0, 0, 0, 0, 0,... | 28 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-10, -1, 2, 11, -2, 2, 0, -10, 2, 13],\n [-1, 28, 20, 4, 5, 0, 8, 5, 12, 4],\n [2, 20, 23, -10, 4, 1, 12, -5, -5, -10],\n [11, 4, -10, -26, 13, 12, 24, 6, -18, 8],\n [-2, 5, 4, 13, -1, -2, 2, 24, -27, 14]... | 66 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-5, 4, 6, 10, -12, -2, 16, 8, -1, 14],\n [4, 14, -14, 0, 0, -6, 4, -16, -14, 10],\n [6, -14, -3, -3, -8, 4, 0, 8, -1, 8],\n [10, 0, -3, 27, 28, -18, 20, 4, -4, -4],\n [-12, 0, -8, 28, 6, -12, -19, 10, 26,... | 67 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[30, 8, -26, -9, -2, 24, -28, -19, -5, -15],\n [0, 6, -9, 26, -2, -17, -3, -26, 16, 18],\n [0, 0, 21, -26, -19, -15, -5, -5, 17, -10],\n [0, 0, 0, -1, 6, -8, 27, -21, 23, -26],\n [0, 0, 0, 0, -21, 27, -12, 27, 1, -30],\n [0, 0, 0,... | 30 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-5, -8, 13, 9, -16, -18, 4, 4, 20, -2],\n [-8, -2, 2, 3, -6, -14, 4, 24, -2, -10],\n [13, 2, -7, -2, 11, 16, -4, -10, -14, 22],\n [9, 3, -2, -8, 6, -3, -11, 11, 25, -22],\n [-16, -6, 11, 6, -1, 2, 0, -15, 12, -1],\n... | 332 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[16, -2, -12, -18, 28, 14, -3, 16, 12, -18],\n [-2, -18, 8, -6, -4, 0, -17, 17, -20, -18],\n [-12, 8, 7, -9, 0, 18, -7, -4, -12, 24],\n [-18, -6, -9, 14, -10, 1, -22, 2, 12, -12],\n [28, -4, 0, -10, -4, 3, -4, 8, -1, -6],\n [14, 0... | 66 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-30, 0, 25, 14, -23, 2, 3, 22, -9, -16],\n [0, 1, -9, -6, 2, -22, -16, -12, 12, -24],\n [25, -9, 5, 0, -3, 22, 26, 4, 4, -2],\n [14, -6, 0, -4, 10, -10, 2, -2, 13, -18],\n [-23, 2, -3, 10, -18, -7, 3, 12, -28, -3],\n [2, -2... | 362 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[6, 0, -10, 4, -14, 5, -16, 4, 20, -4],\n [0, 14, -20, -23, -6, 13, 2, 0, -6, -16],\n [-10, -20, 8, -18, 22, 5, 22, 24, -24, 5],\n [4, -23, -18, 23, 2, 2, 1, 5, 7, 19],\n [-14, -6, 22, 2, -16, 4, 6, 2... | 348 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-8, -2, 8, -4, -1, 7, -22, -20, 0, 19],\n [-2, 25, 10, -19, -8, -6, -14, -4, 13, 16],\n [8, 10, 20, -18, -8, 0, 2, -3, 16, 8],\n [-4, -19, -18, -30, -6, 4, -8, -6, -4, 15],\n [-1, -8, -8, -6, -4, -5,... | 309 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[6, -4, -17, 10, 26, -20, 16, -4, 6, 4],\n [-4, -14, -1, -12, 11, -26, -22, -26, 4, 17],\n [-17, -1, 5, 14, 2, 14, 20, -26, 17, 16],\n [10, -12, 14, 10, -10, -4, -4, -8, 5, 20],\n [26, 11, 2, -10, 6, 0, 11, 10, 6, -1... | 403 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-11, 4, -16, -6, -8, 20, 0, -8, -3, 18],\n [4, -20, -10, -6, 6, -24, 0, -10, 6, 16],\n [-16, -10, -8, -22, 6, -26, -20, -8, -21, -4],\n [-6, -6, -22, -14, -2, -8, -18, -10, 8, 8],\n [-8, 6, 6, -2, -2... | 349 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[24, -27, -8, 26, 18, 1, 0, 10, 6, -16],\n [-27, -28, -2, 13, -22, 16, 18, -10, 16, 0],\n [-8, -2, -1, 2, -1, 15, -16, -10, 10, 9],\n [26, 13, 2, 24, 12, -22, -6, -20, -3, -8],\n [18, -22, -1, 12, 7, -10, 0, -2, 8, 22],\n... | 72 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-27, -26, 25, 6, -23, 11, 18, -3, 0, 27],\n [0, 23, 20, -2, -17, 9, 10, -9, -20, -8],\n [0, 0, 6, -10, -5, 15, 5, 23, -8, 26],\n [0, 0, 0, 20, 9, -16, -10, 16, -22, 22],\n [0, 0, 0, 0, 22, -5, 10, 4, 21, -6],\n [0, 0, 0, 0,... | 139 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-8, 20, 28, 25, -12, 1, -1, -2, 18, 14],\n [0, -1, -15, 9, -12, -13, -30, -17, 20, 16],\n [0, 0, 23, -3, 18, 19, -1, 7, 20, -27],\n [0, 0, 0, 24, 8, -28, 1, -21, -21, -12],\n [0, 0, 0, 0, -8, 24, -3, 1, 1... | 30 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-12, 5, -2, 29, -13, -29, -30, 16, -26, -11],\n [0, 11, -29, -28, -8, 24, -19, -11, -26, 6],\n [0, 0, -22, 3, 22, 13, 4, 21, 27, -9],\n [0, 0, 0, -21, -1, 25, 28, 15, -8, 1],\n [0, 0, 0, 0, -17, -22, 9, -29, 14, -6],\n [... | 27 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-10, 10, 22, 19, -12, 0, 16, 16, -6, 6],\n [10, 5, 24, -7, 10, 6, -4, 4, 5, -4],\n [22, 24, 8, -8, 8, 0, -2, 16, 1, -15],\n [19, -7, -8, 25, -6, 2, 6, 10, -16, -6],\n [-12, 10, 8, -6, 28, 12, 8, -8, 2, -8... | 67 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-25, -4, -8, 2, 1, -8, 4, 11, 0, 6],\n [-4, -5, 4, -11, -8, -1, -16, -16, 2, 0],\n [-8, 4, 27, -2, -15, 6, 18, -18, -10, 24],\n [2, -11, -2, 28, 10, 6, -2, 1, -1, 14],\n [1, -8, -15, 10, 11, 6, -15, -16, 14, 4],\n [-8, -1, 6... | 343 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[13, 26, -15, 25, 13, 16, 26, -21, -1, -6],\n [0, -11, -26, -30, -1, 18, -28, 14, -17, 25],\n [0, 0, -27, -13, 6, -6, 17, -30, 22, 15],\n [0, 0, 0, 18, 26, -7, -27, -19, 28, 27],\n [0, 0, 0, 0, 29, -25, 8, 25, 15, -7],\n [0,... | 203 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-18, 2, 16, 10, -10, -2, -12, -4, 0, 8],\n [2, 10, 3, -18, 2, 3, 4, -12, -3, 10],\n [16, 3, 11, 4, -5, 12, -5, -12, -4, 27],\n [10, -18, 4, -16, 18, -11, 5, 1, 11, 8],\n [-10, 2, -5, 18, 17, -10, 6, 1, -11, -7],\n [-2, 3, 1... | 297 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[22, -1, 8, 0, -13, 5, -29, -17, -18, -2],\n [0, 8, -29, 1, -18, 15, -4, 18, 10, -14],\n [0, 0, 3, 29, -7, 14, 4, 17, -25, -12],\n [0, 0, 0, 10, 1, 3, -3, 29, -16, -1],\n [0, 0, 0, 0, -11, 1, 5, 19, -... | 126 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-20, 21, 1, -29, 16, -17, -11, -9, -20, -4],\n [0, -14, 13, 25, -3, -2, -10, 16, -15, 6],\n [0, 0, -25, -12, 26, -26, -28, 28, -30, 27],\n [0, 0, 0, 3, 30, 4, 18, -6, -7, -19],\n [0, 0, 0, 0, -4, -23, 29, 15, -6, -14],\n [0, 0, ... | 28 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[0, -8, 1, -10, 8, 4, -9, 15, 18, -9],\n [-8, -20, -12, 20, -12, 18, 8, -4, 1, 12],\n [1, -12, -15, 26, 6, 8, -20, 10, -20, 19],\n [-10, 20, 26, 2, -17, -7, 15, -4, -14, 5],\n [8, -12, 6, -17, -9, 6, -27, -8, -4, -11],\n [4, ... | 341 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-19, -2, -16, 6, 0, 0, -1, 0, 14, 11],\n [-2, -23, -8, 2, 20, 10, 3, 14, 0, -7],\n [-16, -8, -12, 6, 2, 7, 26, 10, 18, -18],\n [6, 2, 6, 4, 10, -6, 22, 2, -4, -6],\n [0, 20, 2, 10, 0, 28, 16, 6, -14, 10],\n [0, 10, 7, -6... | 76 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-26, 8, 6, 12, 1, 20, 23, 16, -20, 24],\n [8, -6, -20, -18, 3, -22, -4, 6, 0, 27],\n [6, -20, 4, 11, -24, -30, -5, -22, 7, -10],\n [12, -18, 11, 0, -20, 2, -11, 18, -11, -6],\n [1, 3, -24, -20, -1, 16, -6... | 78 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[22, 14, -8, 9, 14, -5, -6, 18, 4, 0],\n [14, 0, 20, -7, 8, 2, 4, -6, 0, -4],\n [-8, 20, 21, 4, -6, 3, 1, 17, -3, 24],\n [9, -7, 4, -23, 11, -11, 4, -16, -1, -1],\n [14, 8, -6, 11, 24, 6, -9, -12, -12, 17],\n [-5, 2,... | 328 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-13, -21, -1, 0, -17, 6, -8, -9, -12, 6],\n [-21, -6, 10, -10, -29, -12, 6, -5, -11, -4],\n [-1, 10, -2, -13, -4, 6, 6, 4, 4, -2],\n [0, -10, -13, 4, -14, -2, 0, -14, -24, 22],\n [-17, -29, -4, -14, -23, -4, -18, -6, 8, ... | 76 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-2, -6, 5, 8, 1, -12, 20, 12, 2, -5],\n [-6, 18, -20, -1, 4, -4, 5, -14, -22, 1],\n [5, -20, 8, -6, 6, -23, 1, 3, 6, 27],\n [8, -1, -6, -11, -6, 9, -16, 14, -3, 2],\n [1, 4, 6, -6, 28, -20, 4, 10, 21, -12],\n [-12, -4, -23, ... | 313 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-3, -24, 1, -20, -21, -22, -17, -18, 30, 26],\n [0, -29, 4, -24, -10, -13, -28, 11, 23, 30],\n [0, 0, 18, -20, 8, -7, 29, 15, -12, -27],\n [0, 0, 0, 1, 8, 14, 15, 5, 9, 6],\n [0, 0, 0, 0, -23, 2, 28, -25, 10, 8],\n [0, 0, 0... | 164 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[24, -8, 3, -18, 8, -24, -25, -2, -12, 3],\n [-8, 14, 2, 2, 2, 2, 5, -2, -6, -4],\n [3, 2, -30, 14, 2, 8, 6, -7, -8, -18],\n [-18, 2, 14, 2, 12, -18, -22, -6, 16, -6],\n [8, 2, 2, 12, -8, -6, 9, -6, 4, -10],\n [-24, 2, 8, -18, -6... | 71 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-13, -17, -11, -13, -21, -6, -29, -6, 30, 23],\n [0, 5, 0, -17, -30, 15, -15, 23, 15, 30],\n [0, 0, 4, 10, -25, -6, -18, 22, 3, -23],\n [0, 0, 0, -6, -16, -27, 14, 29, -19, 1],\n [0, 0, 0, 0, -17, -11, -13, -2, 29, -25],\n [... | 109 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[8, 19, 6, 21, 30, 4, -24, -4, -3, -9],\n [0, -24, 6, 30, -9, -26, 24, -29, -4, -10],\n [0, 0, -16, -10, -21, -8, 27, 25, 8, -26],\n [0, 0, 0, -5, 19, 14, -10, 22, -13, 6],\n [0, 0, 0, 0, 4, 18, 29, -20, -10, 21],\n ... | 150 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-8, -15, 9, -4, 0, 1, -2, -2, 8, -7],\n [-15, -18, -15, 3, -17, 14, -6, 19, 1, -14],\n [9, -15, -14, -2, -18, -6, -10, 23, 11, 0],\n [-4, 3, -2, -16, -6, -19, 19, -12, 10, -1],\n [0, -17, -18, -6, 23, 0, -9, -16, 4, 12],\n [1, 14... | 64 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[28, -14, 15, 4, -13, -5, -8, -4, 2, -20],\n [-14, 13, 0, 5, 3, 8, 9, 6, 10, -2],\n [15, 0, 24, -8, 4, -14, 12, 2, -18, -18],\n [4, 5, -8, 15, 10, 0, -21, -8, 12, 5],\n [-13, 3, 4, 10, -6, 6, -6, -2, 4, -4... | 66 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-21, -16, -1, 4, -16, 10, -8, 8, 2, -12],\n [-16, 21, -6, 8, 0, 2, 8, 4, -16, 0],\n [-1, -6, 26, -11, 0, 17, -12, 4, -8, 0],\n [4, 8, -11, 25, -10, -2, 26, -2, 22, 14],\n [-16, 0, 0, -10, 23, -8, -14, 14, 18, 8],\n [10, 2, 17, -2... | 63 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[17, 14, 5, -1, 24, 18, 24, 2, -13, 21],\n [0, 28, -3, 28, 16, -20, 26, 29, 23, 14],\n [0, 0, -25, -27, -11, 17, 16, -4, -16, -25],\n [0, 0, 0, -20, 8, -22, -5, -15, -26, 26],\n [0, 0, 0, 0, -28, -18, 12, 18, -1, 23],\n [0, 0, 0, ... | 28 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[11, -11, -16, -6, 0, 8, 8, 12, -13, 18],\n [-11, -15, 0, -2, -10, 18, -6, 6, 0, 12],\n [-16, 0, 5, 22, 0, -14, -4, 18, 7, 17],\n [-6, -2, 22, 2, -6, 1, -16, -7, -14, -4],\n [0, -10, 0, -6, -16, 12, -3, 4, 2, 6],\n [... | 311 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[3, -30, -21, -10, -26, -29, -9, 17, 26, -29],\n [0, 3, -15, 17, 20, 30, 8, -9, -19, -7],\n [0, 0, 7, 29, 28, -21, 4, 20, 18, 1],\n [0, 0, 0, -5, -27, 15, 21, -9, -16, 25],\n [0, 0, 0, 0, 21, -3, -17, -4, ... | 29 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-25, -19, -29, -24, -15, -28, 14, -28, -4, 19],\n [0, 9, 7, 2, -3, -30, 24, -23, 6, 1],\n [0, 0, 12, 6, -27, -1, -25, 15, 23, -12],\n [0, 0, 0, -20, 15, 24, -15, -30, 14, 24],\n [0, 0, 0, 0, 3, -27, -3, 7, 27, 0],\n... | 152 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[3, 0, 4, 12, -20, 24, 4, 27, -2, 0],\n [0, -14, 2, -6, 4, 7, -17, -4, -4, -2],\n [4, 2, -15, -10, -18, 12, -4, 14, -2, 12],\n [12, -6, -10, -11, 22, -24, -18, 24, -12, -18],\n [-20, 4, -18, 22, 7, -6, 5, 10, 27, 6],\n [24, 7... | 345 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-28, 20, -2, 0, 4, -10, 9, -26, -16, -20],\n [20, 29, 23, 10, 1, -1, -2, 17, -7, 24],\n [-2, 23, 30, -6, 18, 6, 7, -10, -2, 3],\n [0, 10, -6, -20, -2, 14, 14, 25, -8, 7],\n [4, 1, 18, -2, -3, -19, -2... | 370 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-2, -9, 9, -10, 20, 7, -11, 26, -2, 20],\n [0, 24, -24, -3, -3, -27, -9, -19, 14, -28],\n [0, 0, -29, -7, 3, -4, 24, 10, -30, -23],\n [0, 0, 0, -9, -6, -13, -14, 30, -19, -25],\n [0, 0, 0, 0, 29, 11, -30, 26, -2, 14],\n [0,... | 183 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[15, 14, -30, 9, 13, -12, -19, -23, -23, 30],\n [0, 14, -19, 30, 17, 2, 14, -5, 8, -3],\n [0, 0, -23, -6, -4, 15, -8, -1, 14, 16],\n [0, 0, 0, -11, -13, -13, -29, -27, -1, 2],\n [0, 0, 0, 0, 16, -3, 9, -11, 18, 2],\n [0, ... | 23 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-6, -8, -7, 26, 7, -3, -10, 23, 12, -13],\n [0, 4, 14, 24, -22, 22, 7, 27, -1, 29],\n [0, 0, 1, -28, -28, -3, 13, -16, 10, -8],\n [0, 0, 0, 1, 27, 28, 26, 23, 5, 29],\n [0, 0, 0, 0, 25, -3, 6, -24, -27, 6],\n [0, 0, 0, 0, 0, -12... | 28 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[20, 23, -19, 21, 16, -8, 1, 8, 10, 2],\n [23, 30, 18, 6, 22, 10, 6, -2, -17, -26],\n [-19, 18, -22, 18, -6, 1, 0, -2, 24, -14],\n [21, 6, 18, -9, -2, 0, 13, 8, 6, -6],\n [16, 22, -6, -2, 28, 5, -5, -4, 19... | 76 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-20, 23, 14, 16, -19, 23, -10, 23, -20, 8],\n [0, -26, -14, 25, -11, 10, 15, 27, -19, -25],\n [0, 0, -12, -5, 17, 13, 13, 21, 1, -25],\n [0, 0, 0, 7, -20, 2, -7, -8, -16, -4],\n [0, 0, 0, 0, -14, 20, 22, -17, -4, -13],\n [0,... | 159 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[26, -12, 11, -12, -2, 11, 0, -12, 0, -2],\n [-12, -1, -21, -10, -25, 10, -2, 16, -2, -3],\n [11, -21, 9, -16, -11, 30, -6, -7, 14, 2],\n [-12, -10, -16, -22, -10, 2, 6, -14, -2, 11],\n [-2, -25, -11, -10, -28, 6, 7, 6, 1... | 71 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-6, -16, 10, -18, 2, -6, 6, -4, 0, -4],\n [-16, 23, 22, -12, 6, 3, -21, 4, -10, 21],\n [10, 22, -7, -18, -14, 0, -26, -20, 8, -8],\n [-18, -12, -18, 24, 9, -13, 8, -8, 22, -1],\n [2, 6, -14, 9, -16, 16, 1... | 82 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[24, -14, 2, 0, 0, -20, 8, -6, 14, 10],\n [-14, 13, -16, -8, 1, 0, 4, -7, 0, 6],\n [2, -16, -12, -4, -9, -6, -11, -11, -4, 20],\n [0, -8, -4, 4, 13, -2, 0, -10, 4, -4],\n [0, 1, -9, 13, -18, -3, 10, -22, -... | 57 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-18, 6, 7, -7, -29, -9, -14, 5, -17, -21],\n [0, -6, -28, 16, 7, -14, -19, 23, 21, -7],\n [0, 0, -6, 5, 27, 29, -5, 7, -30, -11],\n [0, 0, 0, 16, -14, 9, -3, 27, -19, -4],\n [0, 0, 0, 0, 16, -1, 10, ... | 114 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-5, 9, -22, 24, -26, 25, 1, -11, 19, -20],\n [0, 1, -3, -9, 10, -14, 28, -5, 13, -24],\n [0, 0, -5, -6, -21, 28, 14, -12, -20, -18],\n [0, 0, 0, -27, 16, 0, -3, -20, 12, -30],\n [0, 0, 0, 0, -7, 23, 29, 26, 16, 0],\n [0, 0, 0, 0... | 27 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-20, 0, -3, 13, -25, 10, -15, -27, 4, 29],\n [0, 25, 28, -5, 26, -19, -20, 6, -6, -13],\n [0, 0, 24, 7, 23, -13, -5, -25, -27, 13],\n [0, 0, 0, 30, 3, -14, 12, 12, 22, -15],\n [0, 0, 0, 0, -18, 11, -23, -1, 1, 5],\n [0, 0, ... | 192 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[20, -4, -6, 6, -11, -5, 0, -16, 4, 2],\n [-4, -1, 9, -13, 14, 9, -4, 2, 2, -8],\n [-6, 9, 21, 12, 0, 10, 8, -20, -6, -8],\n [6, -13, 12, -5, -6, -19, 4, -9, -12, 27],\n [-11, 14, 0, -6, 27, -28, 0, -13, -10, 10],\n [-5, 9, ... | 342 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-30, -28, 16, -7, -4, 9, 30, 5, 3, -2],\n [0, -7, 11, -27, -28, 3, 26, 18, -8, 22],\n [0, 0, -8, 14, -26, 0, 22, 10, 26, 30],\n [0, 0, 0, -25, 6, 26, -21, 9, -24, 8],\n [0, 0, 0, 0, -28, 20, -9, 16, -27, -3],\n [0, 0, 0,... | 30 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-27, -6, 11, 21, -8, 26, -12, -6, 16, -4],\n [-6, -6, 14, -4, 4, -10, 6, -13, 6, -4],\n [11, 14, 28, -11, -4, 1, -10, 28, 13, 6],\n [21, -4, -11, 28, -9, -15, -5, 3, -8, -4],\n [-8, 4, -4, -9, -14, 6, 1, -5, 2, 9],\n [26, -1... | 333 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-21, -6, -11, 0, -27, 13, -8, -29, 25, -9],\n [0, 26, 6, -23, -24, -17, 25, 24, -28, 19],\n [0, 0, -12, 20, -13, 21, -15, -23, 29, 2],\n [0, 0, 0, -20, -26, -4, -19, -14, -25, 2],\n [0, 0, 0, 0, -26,... | 207 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-19, 2, 13, -20, -18, 4, -14, -2, -21, -8],\n [2, -7, -2, 6, -6, 12, 17, 14, -8, 6],\n [13, -2, 7, 2, -12, 20, 4, -4, 16, 0],\n [-20, 6, 2, -29, -12, -4, 16, -5, -25, -12],\n [-18, -6, -12, -12, 2, 0, 4, ... | 79 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[19, 6, 10, 14, 10, 24, 18, -20, -14, 10],\n [6, -16, -20, 8, 1, -10, -8, 10, 9, 16],\n [10, -20, 12, 24, 11, -4, 12, 7, -6, -6],\n [14, 8, 24, -8, 16, -7, 24, 6, 7, 6],\n [10, 1, 11, 16, 3, -2, -19, 22, 6, -2],\n [24, -10, -4, -... | 76 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[12, 28, 29, 7, 27, 9, 5, 19, 29, 12],\n [0, -16, -3, -13, 3, -9, -20, 27, 26, -18],\n [0, 0, -24, 30, 12, 23, -7, -27, -3, -16],\n [0, 0, 0, -17, 7, 19, 26, -30, 7, 7],\n [0, 0, 0, 0, 18, -21, -3, -10, 19... | 24 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[23, 0, 16, -1, -1, -7, 8, 0, -15, 8],\n [0, -9, -3, -14, 8, 4, -10, -8, 10, -2],\n [16, -3, 17, 2, 12, -18, 24, 6, -4, -6],\n [-1, -14, 2, -13, 10, 1, 4, -5, 10, 2],\n [-1, 8, 12, 10, -17, 12, -12, -6, 6, 21],\n [-7, 4, -18, 1, ... | 65 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-14, -8, -17, -14, 8, -6, -10, -4, 7, 8],\n [-8, 22, -16, -2, 0, 11, -10, 27, 0, -28],\n [-17, -16, 22, 18, 10, 4, 24, -3, -12, 6],\n [-14, -2, 18, 25, -4, -9, 22, -2, 0, -9],\n [8, 0, 10, -4, 10, -26, -23, -9, 6, 6],\n ... | 76 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[28, 20, 2, -3, 12, -8, 2, 5, -12, 10],\n [20, -29, 18, -7, 12, -4, 20, 16, 22, 10],\n [2, 18, -6, 3, -24, -11, 4, 26, -7, 4],\n [-3, -7, 3, 27, 9, -21, 8, 8, -14, 0],\n [12, 12, -24, 9, -22, -6, 2, 6, 6, -6],\n [-8, -4, ... | 68 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[7, -28, -1, 30, -30, -1, 14, 1, -3, -10],\n [0, 15, -18, -4, 5, -24, -9, -21, 8, 22],\n [0, 0, -27, 1, -8, 24, -25, -7, -11, 27],\n [0, 0, 0, 2, -3, -23, -30, 6, -9, -25],\n [0, 0, 0, 0, -16, -26, 29, 25, 15, 19],\n [0, 0, ... | 150 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-1, 29, 17, 22, 4, -9, 7, 0, -17, -7],\n [0, 18, 1, 5, 1, 24, -16, 12, 27, 4],\n [0, 0, -26, -10, 30, -21, -12, -6, -27, 30],\n [0, 0, 0, -29, -21, 30, 12, -6, -11, 17],\n [0, 0, 0, 0, 15, 3, 24, -3, -26, 28],\n [0, 0, 0, 0, 0, -... | 30 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[15, -16, 7, 6, 8, 14, -3, 12, 28, 0],\n [-16, -19, 4, 9, -1, -12, 0, -2, 2, 20],\n [7, 4, -18, -19, -17, -4, -2, 16, -4, -8],\n [6, 9, -19, -23, 6, 12, 8, -16, 6, -10],\n [8, -1, -17, 6, -14, 8, 20, 4, -17, 17],\n [14, -12, ... | 331 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-11, -4, -6, 6, -10, -10, 12, -2, 0, -14],\n [-4, 6, 20, 7, -18, 3, 13, 26, 4, 16],\n [-6, 20, -23, 14, 3, 20, 23, 2, -2, 2],\n [6, 7, 14, -18, -3, 3, 18, 3, 6, -22],\n [-10, -18, 3, -3, 25, -17, -8, -4, ... | 71 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-4, -10, -13, -18, -15, -22, -19, 13, 7, -12],\n [0, -24, 26, 4, 17, -13, -15, 24, 8, -27],\n [0, 0, 1, 9, -18, 14, -14, 18, 6, -25],\n [0, 0, 0, 29, -5, -17, 0, 23, -27, 29],\n [0, 0, 0, 0, 1, 28, 7, 7, 25, -3],\n ... | 131 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[5, -1, -24, 4, -10, -2, -8, 20, -4, 14],\n [-1, 14, 0, 1, -18, -18, 24, 0, 0, 20],\n [-24, 0, 6, 2, -10, 8, 14, -18, 25, -4],\n [4, 1, 2, -1, 10, -17, 2, 11, 12, -2],\n [-10, -18, -10, 10, -10, -12, 8, 1, 0, -3],\n [-2, -18,... | 333 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[27, -2, -10, -10, 9, -8, 25, -25, -9, 19],\n [0, 6, 14, 20, 23, -23, 10, 18, 4, 20],\n [0, 0, 18, -10, 20, -29, 9, -12, 8, -3],\n [0, 0, 0, -12, 25, 7, -3, -29, 7, 24],\n [0, 0, 0, 0, -9, -5, 18, 12, 5, 2... | 27 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[11, -25, 4, -19, -10, -10, 2, -6, -8, -24],\n [-25, 27, -4, -12, 22, 2, -1, -3, 10, 23],\n [4, -4, 16, 10, -9, 4, 4, 2, -14, -14],\n [-19, -12, 10, 24, 6, 0, 8, -7, -28, 14],\n [-10, 22, -9, 6, -11, 1, 24, -18, 0, 2... | 377 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[25, -1, 4, -8, 10, -28, -9, 7, 16, -4],\n [-1, 9, 6, 14, -4, 3, 6, 10, -21, 16],\n [4, 6, 28, -12, 6, 20, 4, -8, 28, 2],\n [-8, 14, -12, 27, -20, 24, -4, 10, 4, 14],\n [10, -4, 6, -20, 24, 1, 12, -6, 20, -28],\n [-28, 3, 20, 24,... | 85 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-6, 11, 10, 2, 2, -15, -13, -12, -6, 27],\n [11, -13, -22, -4, 6, 5, -10, -23, -26, -1],\n [10, -22, -12, 8, -4, -2, -6, 4, -10, -4],\n [2, -4, 8, 1, 20, 12, -7, -7, -16, 14],\n [2, 6, -4, 20, 19, -6, 9, -3, 15, -20],\n [-1... | 348 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-2, 16, 20, -11, -8, 9, 2, 1, 10, -16],\n [16, 27, 8, 16, -7, -18, -15, 1, -16, -10],\n [20, 8, -16, 17, 6, -14, -22, -8, -11, -14],\n [-11, 16, 17, 28, -9, 0, 4, 2, -10, 6],\n [-8, -7, 6, -9, -12, -18, -9, -15, 11, 0],\... | 80 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-6, -14, 8, 22, 17, 16, 4, -10, -7, 5],\n [-14, -10, -11, 21, -6, 10, -16, -28, -10, 16],\n [8, -11, 23, 12, -20, -10, 0, 8, -10, 1],\n [22, 21, 12, -15, 2, 5, 12, -2, 0, -6],\n [17, -6, -20, 2, -18, -25,... | 77 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-18, -7, -6, -2, -14, 6, 17, 4, 6, -10],\n [-7, 5, -8, 6, 11, -20, -5, -14, 12, 3],\n [-6, -8, -12, 6, 10, -14, -3, 12, -16, -5],\n [-2, 6, 6, 16, -6, -15, 10, 12, 8, -4],\n [-14, 11, 10, -6, 26, -16, -22... | 77 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-30, -20, 24, -10, -27, -24, -5, 16, 19, -19],\n [0, -14, 2, -20, -3, 1, -30, 16, -3, 22],\n [0, 0, -29, 11, -7, -27, 13, -12, -5, -20],\n [0, 0, 0, -20, 14, -28, -19, -28, 11, -4],\n [0, 0, 0, 0, -15, -2... | 30 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[29, 2, -14, 7, 0, -28, 4, 20, -4, -10],\n [2, -16, -2, 16, 11, -10, 25, 0, 8, 9],\n [-14, -2, -17, -10, -10, -3, -17, -7, 22, -18],\n [7, 16, -10, 5, 8, 10, 0, 6, -1, 7],\n [0, 11, -10, 8, 2, 21, 2, -18, -5, 10],\n [-28, -10, -3,... | 65 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-3, -4, -6, 12, -12, -6, -10, -20, 5, -10],\n [-4, -26, 4, -11, -10, -18, 14, 0, -24, 13],\n [-6, 4, -4, 1, -17, 11, -13, -19, 21, -10],\n [12, -11, 1, 16, 19, -9, -23, 9, 24, -14],\n [-12, -10, -17, 19, -28, -28, 12, 22, 4... | 380 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-5, 0, 4, 0, 6, -8, -13, -1, -1, 6],\n [0, 20, -20, -2, 12, 20, 4, -20, -6, 17],\n [4, -20, 7, 0, -6, -16, -22, 8, 18, 2],\n [0, -2, 0, -30, -8, 10, -14, 23, 6, 6],\n [6, 12, -6, -8, 8, 25, 2, -15, 0, -2],\n [-8, 20, -16, 10, 25... | 77 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-3, 0, -4, 2, 6, -14, 26, 5, 9, 0],\n [0, 25, 10, 15, 14, 12, 16, 6, 19, 9],\n [-4, 10, 7, -14, -2, 17, -24, -4, 7, 2],\n [2, 15, -14, -21, -2, -14, 24, 6, 24, 8],\n [6, 14, -2, -2, 13, -2, 11, 14, -14, -2],\n [-14, 12, 17, -14, ... | 81 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-29, -8, -13, 0, -2, -2, 1, 25, -24, 6],\n [-8, 27, -7, -14, -12, 18, -10, -19, 12, -8],\n [-13, -7, -12, 6, 6, 6, 16, -14, 10, 4],\n [0, -14, 6, -19, 10, 11, -1, 13, 1, 12],\n [-2, -12, 6, 10, 2, 0, 18, -6, -2, 9],... | 317 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[14, -15, -6, -22, -18, -4, 9, 17, -6, 20],\n [-15, 28, -6, 12, 2, -23, 0, 6, 22, -26],\n [-6, -6, -3, -7, -13, 16, -8, -2, 6, 12],\n [-22, 12, -7, -28, -26, -20, 8, 2, 2, -5],\n [-18, 2, -13, -26, 14, -20, -8, 5, 0, -8],\n ... | 371 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-3, 2, 16, 14, -2, 6, 2, 8, 12, -2],\n [2, -22, 13, 8, -16, 12, 12, -18, 22, 15],\n [16, 13, -28, -12, 0, 0, 0, 9, 10, 6],\n [14, 8, -12, -26, 4, -16, 18, 5, 2, -4],\n [-2, -16, 0, 4, 19, 2, -13, 2, -10, 14],\n [6, 12, 0, -... | 320 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[23, 2, -22, -10, 6, -10, 28, 2, 21, -22],\n [2, 24, 0, 2, 2, 7, 4, -2, 6, -4],\n [-22, 0, -8, 4, 2, 14, 1, 8, 6, -15],\n [-10, 2, 4, -8, -14, -4, -8, 24, -8, 0],\n [6, 2, 2, -14, -7, 8, 12, 3, 0, -8],\n [-10, 7, 14, -4, ... | 73 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-12, -10, 3, 4, 30, 0, 18, 0, -28, 10],\n [-10, 14, 5, 16, 13, 2, 12, -21, -4, -12],\n [3, 5, -12, -2, -20, 17, -1, -18, -23, 20],\n [4, 16, -2, -15, 2, -6, 12, -14, -5, -3],\n [30, 13, -20, 2, 27, -13, -8, -3, 16, 11],\n [0, 2, ... | 87 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-1, 22, -20, 4, 6, 30, 11, -18, 5, 25],\n [0, -19, 6, -21, 29, 25, -22, 21, -24, -29],\n [0, 0, 29, -8, 8, 9, 8, -10, -8, -2],\n [0, 0, 0, -26, 24, 0, -6, 0, 19, -11],\n [0, 0, 0, 0, -29, -6, -18, 27, 8, ... | 29 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[14, -18, -24, -4, -21, 3, 5, -6, -25, -7],\n [0, -8, -25, -2, -6, 24, -14, 15, -7, -20],\n [0, 0, 3, -3, -28, -20, 7, 30, -17, 20],\n [0, 0, 0, 23, 25, 8, -1, 28, -23, 20],\n [0, 0, 0, 0, 28, -24, -22, 14, -30, -2],\n [0, 0, 0, ... | 28 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[21, -6, -2, 0, 23, -10, 4, 1, -6, -2],\n [-6, -16, 11, -12, 0, 0, -13, -8, 8, -4],\n [-2, 11, -7, 6, 0, 0, 16, -8, -2, 12],\n [0, -12, 6, -16, 18, -16, 24, -8, -6, -2],\n [23, 0, 0, 18, 0, 18, -8, 17, -4, -22],\n [-10, 0, 0, -16... | 72 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[12, 10, 10, 8, 8, 6, 26, 4, 10, 24],\n [10, 2, -13, -10, -6, 16, -14, -16, -14, -1],\n [10, -13, -4, 20, 5, 6, 14, -6, 0, 15],\n [8, -10, 20, -25, 5, -6, -18, 23, 3, -16],\n [8, -6, 5, 5, -13, 4, -23, -6, -6, 0],\n [6, 16, 6, -6... | 80 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[23, 18, 18, -7, 16, -24, -12, -9, 26, 24],\n [0, 4, -1, -2, -9, -20, -11, -2, 20, 10],\n [0, 0, -30, 0, -1, 17, -13, 24, 27, -14],\n [0, 0, 0, -6, -16, 15, 25, -9, -28, 25],\n [0, 0, 0, 0, 3, 4, 19, 30, -... | 30 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-25, -17, -12, 3, -2, -16, 12, -4, 4, 18],\n [-17, -12, -14, 0, 19, 2, -10, 0, -2, -8],\n [-12, -14, 13, -15, -10, 2, -2, -8, -4, 4],\n [3, 0, -15, 30, -23, 17, 2, -11, 2, -6],\n [-2, 19, -10, -23, -2, 2, 7, -10, -6... | 364 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-29, 0, 14, 1, 2, 4, 0, -10, 6, -8],\n [0, 2, -3, -25, 6, 2, 16, 20, 9, 1],\n [14, -3, -7, 5, 16, 9, -6, -12, -12, 0],\n [1, -25, 5, 26, 14, -14, -18, -1, -8, 0],\n [2, 6, 16, 14, 9, 20, -21, 8, -2, -8],\n [4, 2, 9, -14, 20... | 340 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-29, -13, 17, 3, -8, 4, -12, -12, 8, 8],\n [-13, 12, -3, 9, -15, -6, 4, 17, 11, 4],\n [17, -3, 15, -3, -5, -20, -6, 16, 14, -6],\n [3, 9, -3, 23, -13, -6, 4, -20, 4, 18],\n [-8, -15, -5, -13, -15, -14, -10, -17, -8, -17],\n... | 339 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[24, -19, 9, -29, 5, -17, -15, -12, 3, 13],\n [0, 15, -25, -18, 5, -9, -13, -19, 21, 28],\n [0, 0, 22, 20, 9, -24, 1, 17, -12, -25],\n [0, 0, 0, 12, 6, 17, -24, 28, -26, -20],\n [0, 0, 0, 0, -8, 22, 6, -22, -16, -28],\n [0, 0... | 182 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-19, -16, -16, 10, -18, 4, 24, 5, 0, 18],\n [-16, -22, -20, 0, 10, -4, 18, 24, 3, -10],\n [-16, -20, 17, -2, -2, -6, 2, -6, 6, -3],\n [10, 0, -2, -10, -16, 2, 16, 6, 8, 2],\n [-18, 10, -2, -16, -22, -26, ... | 76 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[9, 4, -8, 10, -8, 0, -10, -6, -8, -9],\n [4, 2, 10, 10, -8, 16, 4, -4, 14, 9],\n [-8, 10, -7, -22, 2, 11, 20, 8, -17, -8],\n [10, 10, -22, -29, 19, -10, 11, 6, -1, -18],\n [-8, -8, 2, 19, -12, -22, -10, 1... | 74 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-16, 6, -18, -26, -20, -21, 21, -18, 10, 22],\n [0, 19, -16, 11, 25, -24, 9, -3, 1, 4],\n [0, 0, 5, -10, -25, -30, -27, -20, 13, -5],\n [0, 0, 0, -2, -10, 17, 14, 14, 18, -4],\n [0, 0, 0, 0, 28, -15, -1, 30, -27, 9],\n [... | 28 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-26, -8, -20, 16, 2, -18, -12, 0, -6, -2],\n [-8, -15, -6, -6, -12, 4, 0, -2, 7, -4],\n [-20, -6, 30, -2, 4, 20, 6, -2, 20, 14],\n [16, -6, -2, -2, -8, 5, 6, 1, 8, 14],\n [2, -12, 4, -8, 3, 2, -20, 0... | 296 | MATH |
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