messages list | ground_truth string | dataset string |
|---|---|---|
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[21, 8, -9, 23, 1, -6, 9, 14, -2, 6],\n [0, 28, -1, 29, 28, -13, 13, 17, -28, -19],\n [0, 0, -11, 19, -23, 0, -7, -18, 29, -23],\n [0, 0, 0, -10, -16, -5, 7, 15, 7, 24],\n [0, 0, 0, 0, -28, 28, -8, -25, 10, 26],\n [0, 0, ... | 30 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[5, -20, -9, 16, 26, 25, 26, -1, -26, 6],\n [0, 26, -21, 25, -9, 11, -1, -1, -9, 7],\n [0, 0, 7, 25, -24, 19, 27, 5, -17, -20],\n [0, 0, 0, 21, 3, -29, -24, 12, 0, -13],\n [0, 0, 0, 0, 26, 6, 3, 15, 8, 11],\n [0, 0, 0, 0, 0, -17,... | 29 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[10, 5, -10, 24, 12, -4, -18, 13, -8, 16],\n [5, -13, -2, 2, 6, 10, 0, -30, 6, 12],\n [-10, -2, -28, 7, 10, -18, -5, -4, 10, -2],\n [24, 2, 7, -14, -23, 14, 11, 18, 14, 16],\n [12, 6, 10, -23, -6, -2, -2, 0, -6, -6],\n [-4, 10, -... | 66 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-27, 8, 17, 10, 14, -16, -12, -14, 4, 18],\n [8, -23, 20, -14, 21, 28, -6, 26, 12, 10],\n [17, 20, 15, 16, -4, 4, -17, 6, 0, 0],\n [10, -14, 16, 10, -26, -4, 2, -20, 9, -20],\n [14, 21, -4, -26, 8, -14, -20, 6, 16, 1],\n [-16, 2... | 66 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[29, -14, -6, 2, 5, 0, -10, -24, -6, -2],\n [-14, 16, -6, -10, 4, 6, -2, -14, 0, 6],\n [-6, -6, 5, 12, 18, 0, -9, -4, -10, 3],\n [2, -10, 12, -1, 6, -7, 12, 0, -21, 22],\n [5, 4, 18, 6, 29, -29, -24, 6, -12, -16],\n [0, 6, 0, -7, ... | 74 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[28, -5, 8, -26, 24, -18, -12, 20, -16, 18],\n [-5, -19, -11, -10, -4, 0, 5, -8, 20, -8],\n [8, -11, 11, -15, 10, -26, 2, 18, 4, 0],\n [-26, -10, -15, 14, 18, 6, -10, -2, 0, -6],\n [24, -4, 10, 18, 26, -16, 7, 6, 15, 8],\n [-18, 0... | 84 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-6, 1, 8, 6, 23, 2, -12, -4, -12, 12],\n [1, -2, -21, 4, 2, -19, -11, 12, 6, -10],\n [8, -21, -6, -8, -4, 13, -6, 0, -2, -18],\n [6, 4, -8, -20, 18, 0, 8, -9, 18, 8],\n [23, 2, -4, 18, 18, -2, 9, -5, -16, -16],\n [2, -19, 13, 0, ... | 51 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[27, -1, 2, 25, 23, 26, -6, 0, -8, 21],\n [0, 2, 20, 23, 16, 18, -11, 25, -3, -23],\n [0, 0, 4, 24, 0, 13, -7, -16, 19, 14],\n [0, 0, 0, -14, -3, 22, -28, -12, 7, -4],\n [0, 0, 0, 0, 6, 20, 23, -20, -30, -1],\n [0, 0, 0, 0, 0, 5,... | 27 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-18, 6, -8, 2, -8, 24, -13, -6, 2, 6],\n [6, 3, -22, 16, 0, -12, 8, 10, 4, -2],\n [-8, -22, 3, 22, -8, -6, 8, 14, 0, -2],\n [2, 16, 22, 28, 17, 14, -6, -6, 20, 22],\n [-8, 0, -8, 17, -8, -14, -6, 14, -16, 3],\n [24, -12, -6... | 368 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[23, 6, 4, 10, 6, -14, 2, -8, 8, -5],\n [6, -5, 12, 11, -12, -14, -17, 10, 3, 6],\n [4, 12, 25, -23, -16, 15, 22, 19, -6, -3],\n [10, 11, -23, -4, 18, 22, 7, 7, -28, -6],\n [6, -12, -16, 18, 20, -14, 5, 14, -18, 8],\n [-14, -... | 363 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[26, -23, -14, -1, -17, 18, 13, 19, 2, -7],\n [0, 7, -16, 19, 12, -6, 30, -14, 2, -29],\n [0, 0, -17, -19, -14, -17, 20, -21, 25, 13],\n [0, 0, 0, 14, 29, -25, 9, 0, 6, -22],\n [0, 0, 0, 0, -24, 7, -23, 3, -14, -14],\n [0... | 26 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-26, -2, 1, -8, -2, -26, -4, 9, -8, -4],\n [-2, 11, 6, -12, 4, -13, -1, -9, -11, 16],\n [1, 6, 11, -8, -16, 22, -6, 2, -16, 16],\n [-8, -12, -8, 1, 10, 14, -16, 8, 6, -19],\n [-2, 4, -16, 10, -16, -7, 8, 14, -14, -12],\n [-... | 328 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-28, -27, 0, 12, -11, 8, -3, -4, -8, 2],\n [-27, -3, 12, 1, 6, 5, -26, -17, 8, -18],\n [0, 12, 1, -18, 24, -10, -12, -9, 12, 4],\n [12, 1, -18, 13, 18, -10, 24, 4, 15, 24],\n [-11, 6, 24, 18, 13, 9, -6, 6, 12, -10],\n [8, 5,... | 320 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[3, -14, -14, -2, 7, -8, 14, -18, -10, -8],\n [-14, 6, 8, -16, -18, -15, 2, 0, 20, 3],\n [-14, 8, -19, 6, -5, -8, -2, -4, -6, -8],\n [-2, -16, 6, -8, 3, -12, 9, -6, -9, 26],\n [7, -18, -5, 3, 30, -6, -4, -20, -21, 8],\n [-8, ... | 350 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-27, -20, 18, 22, 29, -7, 23, 21, -11, 14],\n [0, 27, -18, -14, 20, 21, -16, -27, -13, 12],\n [0, 0, 25, -28, -4, -13, -14, -21, 26, 6],\n [0, 0, 0, 21, 19, -26, 25, 16, -25, 9],\n [0, 0, 0, 0, 29, -16, -4, 13, 20, 8],\n [0,... | 216 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[6, -2, -6, -24, -10, -21, 16, 8, 7, 18],\n [-2, 5, -16, 10, -20, 22, 10, -4, -10, -8],\n [-6, -16, 23, -20, -18, 10, 7, 16, 9, 2],\n [-24, 10, -20, -3, -7, -4, -12, 1, 15, -12],\n [-10, -20, -18, -7, 21, ... | 79 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-20, 14, 6, -15, 22, -10, 20, 4, -2, -26],\n [14, 0, 6, -6, -20, -26, 1, 2, 16, 2],\n [6, 6, 24, 4, -4, -12, -12, 26, 11, -4],\n [-15, -6, 4, -23, -12, -3, -5, -6, 22, -7],\n [22, -20, -4, -12, -27, ... | 402 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[20, 10, -12, -16, -18, 18, -12, -2, -23, -8],\n [10, 15, 10, -1, 4, 0, 12, -8, 10, 5],\n [-12, 10, 1, -2, 14, -9, 0, -8, 10, 7],\n [-16, -1, -2, -28, -8, 16, 13, 11, 7, 12],\n [-18, 4, 14, -8, -15, -12, 1, 0, 8, -11],\n ... | 66 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-6, 13, 4, -3, -2, 15, -10, 23, 6, 16],\n [13, -23, -8, 1, 18, 4, -1, -1, -4, 14],\n [4, -8, -23, -11, 2, 14, -10, 13, 6, -8],\n [-3, 1, -11, -27, 6, 20, -22, -8, -4, 4],\n [-2, 18, 2, 6, 7, 12, 10, 16, 14, -12],\n [15, 4, 1... | 320 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-30, 19, -28, -2, -17, 14, 3, -9, 5, -16],\n [0, -21, -22, 19, 4, 15, 11, -14, 16, -13],\n [0, 0, 4, -15, 20, 14, 24, 18, -6, 24],\n [0, 0, 0, 22, -19, 4, 28, -22, 17, 6],\n [0, 0, 0, 0, 14, 3, -12, 19, -... | 30 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-7, 14, -7, 12, 4, -11, 10, 6, 15, 10],\n [14, -29, -12, 14, 15, 0, -11, 12, 6, 10],\n [-7, -12, -6, 10, -2, 0, -14, -4, 8, 22],\n [12, 14, 10, 18, 4, 10, 18, 3, 0, 25],\n [4, 15, -2, 4, 23, 16, 12, ... | 323 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[10, -20, 11, -28, -12, -4, -24, 24, 6, 25],\n [0, -4, 28, 16, 3, -20, 7, -26, 21, -24],\n [0, 0, 25, -26, -4, -2, -4, 1, -6, 11],\n [0, 0, 0, 10, 3, 4, 23, -11, 25, -7],\n [0, 0, 0, 0, -4, 19, -10, 2, 8, 9],\n [0, 0, 0, 0, ... | 107 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[13, 4, 3, -7, 1, 2, 5, -4, 7, 10],\n [4, -17, 18, -4, 6, -4, -7, 11, 4, 2],\n [3, 18, 13, -14, 10, -20, 19, -19, 0, 14],\n [-7, -4, -14, -30, -6, -6, -6, -22, 5, 16],\n [1, 6, 10, -6, -27, 14, 17, 4, 14, 12],\n [2, -4, -20, -6, ... | 80 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[22, -4, 10, 20, -21, -20, 18, -22, 2, 17],\n [-4, -3, -8, -18, -5, -24, 0, -2, -2, -16],\n [10, -8, -20, -1, -11, 12, 4, -12, -8, 4],\n [20, -18, -1, -28, -14, 12, -6, 15, -12, 23],\n [-21, -5, -11, -14, -11, 5, 6, -1, -2, 8],\n ... | 73 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-28, -6, -10, -1, 0, 4, 16, -12, 9, 2],\n [-6, 28, 2, 8, -2, 12, -11, 0, 6, -16],\n [-10, 2, 1, 4, -3, 0, -20, 18, 1, -17],\n [-1, 8, 4, 18, 18, -9, 6, -2, -6, -2],\n [0, -2, -3, 18, -22, 12, 19, 18,... | 353 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-14, -6, 8, -18, -2, -3, -4, 28, 5, -10],\n [-6, -30, 2, -6, -26, -14, 4, 16, 11, 14],\n [8, 2, -27, 16, 2, 15, -20, -23, -23, 12],\n [-18, -6, 16, -9, -2, -4, -6, 10, 23, 18],\n [-2, -26, 2, -2, -13, 10, 24, 18, -4, -20],\n [-3... | 98 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-15, 15, -15, 5, -20, 12, 2, 24, 11, -1],\n [15, -13, 8, 5, -10, -22, -6, 12, -10, 8],\n [-15, 8, -30, 0, 20, 9, 4, 0, 12, 19],\n [5, 5, 0, -4, 8, 8, 4, 15, 6, 3],\n [-20, -10, 20, 8, -1, -6, 24, 7, 7, 8],\n [12, -22, 9, 8, ... | 351 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[14, 0, -20, -13, 8, 0, 11, -27, -10, 10],\n [0, -25, -3, 10, 12, 10, 25, -1, -16, 2],\n [-20, -3, -25, 0, 24, -4, 5, -21, 7, 15],\n [-13, 10, 0, -2, 4, -18, -9, -10, -21, -10],\n [8, 12, 24, 4, -16, 9, 8, 2, 26, 8],\n [0, 10, -4... | 74 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[17, 12, 4, -23, -6, 27, 0, 17, 10, -18],\n [12, 5, 8, 1, -6, 9, -10, -1, -10, -8],\n [4, 8, 7, 8, -14, -12, -19, -2, 12, 4],\n [-23, 1, 8, 21, 14, -11, -16, -10, 12, 4],\n [-6, -6, -14, 14, 18, -1, 18, -14, -12, 2],\n [2... | 78 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-22, -27, 12, 9, 19, 0, -28, 5, 26, -14],\n [0, 8, -29, -26, 2, 23, -18, -19, -12, 30],\n [0, 0, -23, 13, -27, -24, 29, 17, -9, -13],\n [0, 0, 0, -27, 22, 10, 14, 20, -19, 17],\n [0, 0, 0, 0, -10, 8, -18, 17, 23, -17],\n [0... | 147 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[28, 18, 1, -1, -11, 5, -3, -10, 11, -16],\n [18, 29, -24, 20, 2, 16, -13, 4, 2, 3],\n [1, -24, -12, 9, -10, 14, 11, 20, 0, 0],\n [-1, 20, 9, 22, 8, -20, -10, -6, -14, -7],\n [-11, 2, -10, 8, -17, 20, -21, 4, 3, 18],... | 366 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-6, 19, -15, -9, 29, -7, -3, -8, 23, 25],\n [0, 27, -22, -29, 7, -3, -5, 29, 29, -4],\n [0, 0, -10, 7, -6, 27, 7, 15, -20, -3],\n [0, 0, 0, -12, -7, -9, 24, 17, -6, -23],\n [0, 0, 0, 0, -19, -6, -10,... | 169 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-7, 24, 0, -10, -13, 10, -14, 12, 2, 12],\n [24, -23, -6, -10, 18, -14, -18, 0, -16, -6],\n [0, -6, 5, 8, 11, 8, 14, -30, 0, 2],\n [-10, -10, 8, -7, -1, -26, -11, -6, -16, -16],\n [-13, 18, 11, -1, -... | 364 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[7, 26, 6, -7, -10, -16, -14, 5, 4, -6],\n [26, -10, -4, 24, -7, 14, -15, -3, -23, 0],\n [6, -4, -4, 24, 8, 2, 8, 1, -15, 12],\n [-7, 24, 24, -16, 10, -16, 8, 20, -16, 2],\n [-10, -7, 8, 10, -7, 11, 23, -24, -8, -29],\n [-16, 14,... | 70 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-12, -7, 12, -26, 18, -12, 12, -16, -10, -8],\n [-7, -27, 24, 4, -3, -12, -28, 4, 6, -12],\n [12, 24, -11, -3, 10, 14, 21, 8, -10, 16],\n [-26, 4, -3, 1, -6, -15, 6, 10, 12, 11],\n [18, -3, 10, -6, 20, 5, 6, 7, 8, -2],\n... | 80 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-24, -1, 4, 2, 6, 8, 6, 16, 7, 2],\n [-1, -29, -4, 20, 3, -22, -6, -12, -11, -6],\n [4, -4, -5, 2, 12, 1, 21, 24, -16, 18],\n [2, 20, 2, -16, 4, 6, 2, 20, -15, -10],\n [6, 3, 12, 4, 20, -24, 14, -21, 10, 10],\n [8, -22, 1, 6... | 355 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-28, -2, 20, 13, 0, 20, -11, -16, -15, 0],\n [-2, 1, -22, 2, 0, 10, -12, 13, -4, 10],\n [20, -22, -9, 3, 0, 2, -23, -2, 4, 2],\n [13, 2, 3, 19, 2, 4, -1, -15, -2, -8],\n [0, 0, 0, 2, -11, 0, -14, -26, -8, -6],\n [20, 10, 2, ... | 320 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[24, 16, 16, -8, 8, -3, -18, 0, 8, 12],\n [16, -29, -11, 0, 15, -10, 2, 7, 18, -20],\n [16, -11, 14, 4, 0, 10, -10, -24, -11, -4],\n [-8, 0, 4, -16, -6, -13, 12, -4, 7, -9],\n [8, 15, 0, -6, -1, 20, -... | 357 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-3, 28, -5, 7, -25, -12, -4, 22, -22, 24],\n [0, 19, -21, -21, 2, -13, 23, -21, -24, 9],\n [0, 0, 23, -25, -12, 10, 12, 3, 12, -26],\n [0, 0, 0, 23, -17, -21, 18, -20, 0, -29],\n [0, 0, 0, 0, 0, -20, 12, -21, -11, -10],\n [0, 0, ... | 28 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[16, -10, -29, -8, -15, -20, 23, 28, -22, -29],\n [0, -18, 14, -23, -21, -4, -14, -7, -10, -30],\n [0, 0, 12, 2, -25, -19, 1, 17, 27, -20],\n [0, 0, 0, 18, 18, -11, -10, 5, 7, 25],\n [0, 0, 0, 0, -14, 3, 14, -5, 28, ... | 128 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-29, 10, 12, 10, -5, -24, 22, 27, 18, 8],\n [10, -23, 6, -2, -4, -18, 14, -6, -5, -4],\n [12, 6, -1, 8, 0, 2, -28, 2, -18, 7],\n [10, -2, 8, 15, -2, 2, -2, -15, -20, -8],\n [-5, -4, 0, -2, 21, -6, -13, 15, -9, -7],\... | 377 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[2, -20, -23, -10, 1, -26, 3, -22, 7, 12],\n [0, -21, -19, 4, 8, -13, -8, -19, 0, -20],\n [0, 0, -10, -21, -18, 27, 14, 16, -6, -18],\n [0, 0, 0, -3, -11, -11, 10, -27, -11, -26],\n [0, 0, 0, 0, -26, 26, -... | 26 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-25, 7, -2, 12, 26, -20, -15, -25, -30, 29],\n [0, 17, 29, 4, -7, 7, -28, 20, 30, 9],\n [0, 0, 20, 29, -16, -9, 15, 15, 24, -27],\n [0, 0, 0, -9, 8, 17, 9, -4, -16, 21],\n [0, 0, 0, 0, -22, -12, -13, 28, 8, -20],\n ... | 190 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[30, 10, 4, 14, -25, 14, -4, 4, 1, 22],\n [10, 4, 2, 20, 24, 6, -8, -14, -8, 16],\n [4, 2, 20, 18, -2, -22, -7, 17, -13, -16],\n [14, 20, 18, 14, 8, 16, -20, 4, -16, -1],\n [-25, 24, -2, 8, -6, -18, 1, 0, -6, -13],\n [14, 6,... | 376 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[13, 6, -6, -14, -10, 14, -14, 0, -6, 0],\n [6, 19, -6, -10, -10, 0, -5, -3, -8, 0],\n [-6, -6, -29, 8, -12, 4, -16, 12, -8, 12],\n [-14, -10, 8, -27, 0, -9, -20, 2, -4, -1],\n [-10, -10, -12, 0, 25, 4, 10, 19, -10, 2],\n [14, 0, ... | 63 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-4, 10, 6, 8, 4, 8, 13, -4, -1, 6],\n [10, -11, -23, -14, -4, 14, 2, -10, 23, 16],\n [6, -23, -9, 4, -1, -16, -4, 20, 10, -10],\n [8, -14, 4, 18, -16, 8, -12, -11, -18, -22],\n [4, -4, -1, -16, 0, 13, -3, 16, 6, -13... | 354 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[27, -22, 2, 3, 19, -5, 10, 24, -8, 16],\n [-22, 8, -11, 26, -22, -3, 6, 3, 2, 6],\n [2, -11, 3, -2, -25, 25, -16, 2, 4, 8],\n [3, 26, -2, 30, -8, 4, 28, -14, 2, -2],\n [19, -22, -25, -8, 10, 18, -6, -2, 26, -4],\n [-5, -3, 25, 4,... | 77 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[13, -4, -6, -24, 14, 10, -2, -26, -24, 10],\n [-4, -20, -10, 18, -21, -4, -4, 0, 3, 11],\n [-6, -10, 8, -26, 20, 14, -4, 2, -18, -7],\n [-24, 18, -26, -4, -8, 4, 6, -16, 8, -10],\n [14, -21, 20, -8, 4, 6,... | 87 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[2, 8, 3, 15, -6, 13, 0, -4, 3, -3],\n [8, 15, -16, -12, 2, 10, 13, 12, -8, -7],\n [3, -16, -23, -1, 6, 13, -17, -20, 8, -3],\n [15, -12, -1, -3, -16, 24, -24, 8, -10, 6],\n [-6, 2, 6, -16, 22, 2, -14... | 317 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[0, -14, 18, 12, 10, -18, 10, -14, 12, 0],\n [-14, 16, -27, -14, 24, 0, 6, -10, 4, -8],\n [18, -27, -3, -20, 4, 24, 2, -14, 2, -10],\n [12, -14, -20, 19, -8, 7, -22, 4, -8, -24],\n [10, 24, 4, -8, 14, 0, 18, 12, -7, -10],\n [-18, ... | 80 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[3, 4, 12, 0, 30, 13, 22, 12, 18, 16],\n [4, 23, 6, -20, 14, 4, 8, -6, 4, 9],\n [12, 6, -9, 26, 24, 2, 2, -14, 10, 0],\n [0, -20, 26, -7, -10, 16, -18, -7, 2, 8],\n [30, 14, 24, -10, -17, 14, 3, -14, 6, -8],\n [13, 4, 2, 16, 14, 1... | 67 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-24, -23, -21, -14, -12, 7, -4, -3, 0, 18],\n [-23, 11, -5, 6, 4, 5, 5, -18, -24, -4],\n [-21, -5, 25, -8, 25, 14, 2, 13, 6, 4],\n [-14, 6, -8, -19, 13, -4, 15, 20, 16, 9],\n [-12, 4, 25, 13, -13, 19, -7, 20, 18, -12],\n... | 72 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[25, 10, 6, 2, 22, 16, -10, -16, 2, -10],\n [10, -28, 1, -6, -16, 0, -18, -15, 10, 4],\n [6, 1, -10, 2, 7, 16, -1, 16, -24, -1],\n [2, -6, 2, -7, -3, 25, -9, 26, 16, 6],\n [22, -16, 7, -3, -18, -12, 1... | 394 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[14, 16, 20, 8, -14, 11, 20, -3, 27, 19],\n [0, 9, -23, -4, 10, 14, -6, 28, -18, 3],\n [0, 0, 21, -9, 2, 15, 7, 0, 14, 2],\n [0, 0, 0, -4, -4, -10, 22, 4, 27, 16],\n [0, 0, 0, 0, -3, 9, 6, 10, 2, 30],\n [0, 0, 0, 0, ... | 105 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[28, 0, -8, 10, -13, 13, -10, 3, -7, 14],\n [0, 28, 20, 8, -18, -8, -8, 8, 12, 6],\n [-8, 20, -4, 16, -2, 10, 19, -11, 17, -28],\n [10, 8, 16, -10, 2, -9, 0, -6, 4, -3],\n [-13, -18, -2, 2, 18, 6, -2, 2, -10, -9],\n [13, -8,... | 335 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-1, 8, 6, -7, 11, 11, 4, 10, -6, -26],\n [8, 24, 0, 21, -8, 12, 19, 14, -18, 3],\n [6, 0, -25, 14, 12, 6, 2, -16, -2, 8],\n [-7, 21, 14, 4, -2, 2, 6, -6, 6, 0],\n [11, -8, 12, -2, -23, 15, -6, -24, 20, -28],\n [11, ... | 341 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-29, 13, 5, -17, 17, 22, -27, 13, -1, -12],\n [0, 13, 0, -16, -2, -28, -12, -9, 16, -11],\n [0, 0, -24, -27, -30, 10, -24, -9, 6, 26],\n [0, 0, 0, 27, -4, 7, 25, -8, -19, -18],\n [0, 0, 0, 0, -22, 11, 21, -4, 17, -16],\n [0, 0, 0... | 29 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[29, 25, 16, -7, 10, -27, -19, 20, -7, -30],\n [0, 0, -21, 2, 5, 11, 4, 27, 17, -13],\n [0, 0, 29, -3, 22, 20, -22, -7, -11, -5],\n [0, 0, 0, 6, 9, -24, -12, 23, -9, -13],\n [0, 0, 0, 0, 20, -26, 9, 6, 28,... | 29 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[5, 7, 14, -4, 12, 2, 4, 12, 10, -5],\n [7, 17, 5, 14, 6, -10, -20, -6, 2, 14],\n [14, 5, 12, -13, -6, 0, -3, -9, -6, 9],\n [-4, 14, -13, -6, 8, -13, 2, 22, 10, -14],\n [12, 6, -6, 8, 28, -22, -20, 18, -15, 14],\n [2, -10, 0, -13,... | 66 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[10, -21, 12, -4, -10, -8, -14, 0, 6, -14],\n [-21, 17, -10, 12, 5, -15, 6, 7, -22, -3],\n [12, -10, 28, 16, 4, 4, 14, 6, 27, -11],\n [-4, 12, 16, 25, 10, 13, -16, -4, -15, 4],\n [-10, 5, 4, 10, 26, 22, 20, 5, -7, 9],\n [-8, -15,... | 71 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[22, -1, 8, -10, 17, -8, -15, 11, -24, -11],\n [0, 11, -17, -5, -9, 10, 5, -5, -19, 18],\n [0, 0, -27, 9, -4, -22, -19, -2, -3, -15],\n [0, 0, 0, -18, -17, 29, -16, 29, -22, 22],\n [0, 0, 0, 0, -9, 24... | 161 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[5, 22, -6, 29, -9, -24, -8, 8, -8, 4],\n [22, -19, -8, -22, -8, -2, 6, 16, -9, -18],\n [-6, -8, -6, 2, -16, 6, 12, -5, -6, -3],\n [29, -22, 2, -9, 2, -18, -8, 2, -20, 10],\n [-9, -8, -16, 2, 11, 6, -... | 372 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-19, 22, 0, -4, -24, -19, -13, 2, -19, -14],\n [22, 18, 0, -11, 14, -2, -20, -19, 8, 9],\n [0, 0, -20, -2, 10, -5, 22, 7, -3, -8],\n [-4, -11, -2, 9, 6, -8, -10, -11, -13, 8],\n [-24, 14, 10, 6, 25, 8, 17, 0, 24, -1],\n [-19, -2,... | 77 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-14, 6, -2, -11, 10, 7, 5, 12, -16, 6],\n [6, 30, 16, 6, -6, 13, -10, -5, 14, 18],\n [-2, 16, -1, 12, 2, 14, 18, 1, 11, 10],\n [-11, 6, 12, -14, -10, 12, 10, -9, 6, -16],\n [10, -6, 2, -10, -21, 16, 4, -10, 28, 9],\n [7, 13, 14, ... | 66 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[1, -18, -12, 2, 7, 22, -1, -4, -14, -13],\n [-18, 28, 10, -6, 9, 11, -8, -6, 1, 0],\n [-12, 10, 17, 4, 7, 8, 6, 17, -15, -18],\n [2, -6, 4, 15, 10, -1, 2, -2, 8, 15],\n [7, 9, 7, 10, 19, -9, -18, 12, -30,... | 75 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-13, -14, 8, -14, 8, -18, 2, 4, 4, 12],\n [-14, -5, -12, -16, 13, 16, 2, -6, -7, 2],\n [8, -12, 2, 8, -6, 13, -9, -16, 8, 7],\n [-14, -16, 8, 16, -6, 16, 22, -2, 6, 12],\n [8, 13, -6, -6, -12, 14, -10, -20, 20, -10]... | 333 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-25, -1, -12, -6, 0, -4, -28, -11, 12, -2],\n [-1, 11, 14, 6, 18, -2, -2, -18, -14, 14],\n [-12, 14, 2, 4, 16, -3, 0, -18, -8, 6],\n [-6, 6, 4, 6, -22, -10, -6, 5, -14, 5],\n [0, 18, 16, -22, 9, 0, 16, 20, 0, 0],\n [-4, -2,... | 365 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[2, -12, -5, 15, 10, -28, -4, -17, -11, 4],\n [0, -6, -27, 26, -29, -29, -6, 16, -8, -10],\n [0, 0, -6, -4, 21, -20, -17, -14, 23, -16],\n [0, 0, 0, 3, 5, 26, 9, 13, -18, 30],\n [0, 0, 0, 0, 13, 8, -3, -5,... | 27 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[23, 1, 25, -27, -1, 0, -13, -26, 1, -2],\n [0, -16, -16, 4, 22, 4, 12, 21, 22, -17],\n [0, 0, 7, -9, 7, 24, -20, -28, 30, 22],\n [0, 0, 0, -17, 16, 0, -6, 24, 10, -12],\n [0, 0, 0, 0, -2, 16, -17, -8, 20, 20],\n [0, 0, 0, 0, 0, ... | 23 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-27, 23, 9, -24, -18, 0, -4, 7, 2, -11],\n [23, 21, -18, -20, -1, 16, 8, -17, -2, -13],\n [9, -18, -11, 6, -7, -6, -3, 11, 1, 6],\n [-24, -20, 6, 29, 5, 11, 1, 18, 14, -1],\n [-18, -1, -7, 5, 19, -12, 4, -6, 12, 8],\n [0, 1... | 331 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-23, 15, 19, -5, 9, 15, 24, 17, 0, -12],\n [0, -24, 18, -26, -18, -13, -13, 20, 24, 19],\n [0, 0, 18, -8, 5, 18, 20, 9, 21, 2],\n [0, 0, 0, 1, -22, -1, 1, 8, -27, -6],\n [0, 0, 0, 0, 6, 4, 6, 25, 30, -9],\n [0, 0, 0, 0, 0, 18, -2... | 30 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[29, 17, -28, -25, -11, -27, 6, 22, 8, -24],\n [0, -14, 7, 5, 3, -25, 8, -29, -13, 11],\n [0, 0, 10, 20, -12, 1, -7, 3, -6, 24],\n [0, 0, 0, -1, 20, -25, -1, 25, 2, -16],\n [0, 0, 0, 0, 25, -6, 14, 30, -26, -29],\n [0, 0, 0,... | 154 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[5, 1, -8, 4, 2, 12, 8, 2, 12, 9],\n [1, -16, -2, 10, -12, -9, -14, 16, 0, 11],\n [-8, -2, 28, 2, 2, 23, -4, 1, 13, 0],\n [4, 10, 2, -6, -20, -12, 18, 0, 3, -2],\n [2, -12, 2, -20, -29, 17, -16, 8, 15, -14],\n [12, -9, 23, -12, 1... | 66 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[3, -2, -15, -6, -3, 10, 18, -6, 18, -6],\n [-2, 6, 2, 12, -8, -13, -7, 2, -10, 8],\n [-15, 2, 8, 6, 4, 10, -6, -18, -12, -4],\n [-6, 12, 6, -19, -12, -5, 19, 6, -6, -19],\n [-3, -8, 4, -12, -15, 2, 6, -26, 12, 5],\n... | 278 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[7, -6, 8, 18, -4, -2, -10, -4, -20, 18],\n [-6, -19, -18, -10, -15, -4, -19, 12, -10, 25],\n [8, -18, -30, 25, 16, -4, -9, -2, -1, -6],\n [18, -10, 25, 7, -22, -1, -14, -3, 10, 8],\n [-4, -15, 16, -22, 4, 9, -28, 13, 10, -1... | 365 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[5, 0, 12, -14, -8, -20, -3, 6, -10, -20],\n [0, 26, -15, -22, -2, 14, 2, 6, -16, -8],\n [12, -15, -22, -4, -4, 22, -28, 16, -5, 8],\n [-14, -22, -4, -17, -18, -10, -9, -8, -9, 25],\n [-8, -2, -4, -18... | 373 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[12, -16, 17, -6, 13, -8, 13, -4, 6, 0],\n [-16, -3, 29, 16, 6, 0, 2, 26, 20, 11],\n [17, 29, -21, -7, 4, -22, -2, -4, 18, -8],\n [-6, 16, -7, 14, -12, 8, 13, 20, -2, 15],\n [13, 6, 4, -12, -27, 0, 4,... | 363 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[28, -2, -24, 26, 7, -7, 7, -25, -11, 23],\n [0, 5, -21, -9, 2, -8, 15, 19, 23, 10],\n [0, 0, -27, -10, 25, -18, 11, -18, 23, -19],\n [0, 0, 0, -22, -18, -9, 9, 5, 22, -3],\n [0, 0, 0, 0, 22, 24, -20, 26, -1, -16],\n [0, 0, ... | 181 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[9, -14, 10, -19, 8, 2, 1, -10, 22, -17],\n [0, 18, -24, -16, 0, -3, 10, -23, -24, 5],\n [0, 0, 16, -1, 14, 9, 10, 10, -26, -10],\n [0, 0, 0, -7, 15, -12, -12, 17, 28, 6],\n [0, 0, 0, 0, -10, -24, 11, -6, 25, 16],\n [0, 0, 0, 0, 0... | 24 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[3, 16, -4, -15, -12, 0, -2, 12, -6, -4],\n [16, -19, -12, -20, -18, -8, -12, 6, -16, -10],\n [-4, -12, 9, -20, -12, 13, 2, -26, 3, 14],\n [-15, -20, -20, 6, 0, 17, 2, -10, -18, 0],\n [-12, -18, -12, 0, 17, 0, 8, 13, -4, 2],\n [0... | 66 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[12, -4, -23, -6, -19, 16, -14, -2, 2, 11],\n [-4, -10, -12, 8, 18, 6, 8, -20, -26, -18],\n [-23, -12, 16, -19, 1, -5, -12, 14, 11, 3],\n [-6, 8, -19, -29, -11, 22, 18, 15, -2, 11],\n [-19, 18, 1, -11... | 359 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-8, -8, 7, 18, 8, 13, -8, -16, 17, -4],\n [-8, -19, 5, 2, 4, -13, 0, 16, -6, -17],\n [7, 5, 14, 24, -10, -1, -1, -2, 2, -18],\n [18, 2, 24, -30, -12, -16, 14, 14, 1, 8],\n [8, 4, -10, -12, 21, -22, 1... | 347 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-7, -17, 6, 24, 23, 28, 28, -10, 24, 12],\n [0, 8, -18, -12, 25, -5, 5, 21, 13, 15],\n [0, 0, -15, 22, 26, -12, 6, -17, 13, 13],\n [0, 0, 0, 13, 12, 16, -24, 11, 6, 16],\n [0, 0, 0, 0, 21, 7, 0, -30, 16, 12],\n [0, 0, 0,... | 21 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[22, -5, 0, 24, -20, -2, 4, -6, -15, 17],\n [-5, 29, -2, 8, -4, 16, 8, -3, 6, -2],\n [0, -2, -8, 14, -26, -20, -18, 14, -15, 19],\n [24, 8, 14, -16, 26, -4, -14, 15, -20, 1],\n [-20, -4, -26, 26, -25, 7, 0, 14, 20, 0],\n [-2, 16, ... | 77 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[25, -24, 5, -23, -4, -25, -7, 5, -26, -11],\n [0, -11, 22, 10, 9, 3, 8, 29, 19, -21],\n [0, 0, 3, 4, 6, 14, 14, 7, 15, -8],\n [0, 0, 0, 25, -30, -22, -28, 28, 7, 5],\n [0, 0, 0, 0, -15, -2, -25, -17, -21, -7],\n [0,... | 172 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-27, -5, -22, 10, -20, -26, 22, 7, 21, 1],\n [0, 7, 9, -3, 22, -7, 25, -12, 23, -30],\n [0, 0, 22, -12, -29, 29, 17, -29, -22, -13],\n [0, 0, 0, 13, 20, -8, 2, 29, 7, 28],\n [0, 0, 0, 0, -17, -18, -9, 12, 17, -13],\n [0, 0, 0, 0,... | 27 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[23, 6, 16, 2, 19, -24, 4, -2, -7, -14],\n [6, -29, -9, -7, -1, -6, -4, 2, -8, -16],\n [16, -9, 5, 21, 5, -2, 12, -3, -3, 24],\n [2, -7, 21, -26, 18, 14, 9, -12, 11, 16],\n [19, -1, 5, 18, 6, -2, 9, -30, 5... | 84 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-26, -16, -16, -14, 14, 5, 3, -3, -8, -27],\n [-16, -3, -18, -10, 0, 6, -12, -8, -2, -12],\n [-16, -18, 0, 11, -3, -16, -19, 5, -12, 11],\n [-14, -10, 11, -18, 14, 30, 14, -8, 2, -11],\n [14, 0, -3, 14, -30, -1, 14, 6, 0, 2... | 333 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-30, 4, -13, 1, 8, 10, 4, 4, 6, -2],\n [4, -15, -4, 3, -10, -1, 10, 22, 2, -4],\n [-13, -4, -30, -2, 4, -1, 7, -2, 2, -3],\n [1, 3, -2, 4, 7, 22, 15, 20, -24, 13],\n [8, -10, 4, 7, 17, -5, 14, 5, 10, 2],\n [10, -1, -1, 22, -5, -1... | 61 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[14, -14, -14, 8, 12, -19, 10, -16, -30, 27],\n [0, 1, -20, -26, 20, -13, 19, -13, -8, 21],\n [0, 0, -5, -30, -3, 27, -11, 10, 17, -8],\n [0, 0, 0, 8, -13, 2, 27, -6, 1, 17],\n [0, 0, 0, 0, -18, -12, -28, 21, -4, -14],\n [0, ... | 122 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-28, -21, 8, -7, 0, 6, 13, -24, 19, -12],\n [-21, -12, -27, 1, -2, -5, 20, 25, 10, 18],\n [8, -27, -14, -11, 20, -2, 10, 0, -16, -14],\n [-7, 1, -11, 8, -12, -7, -12, 13, -3, 18],\n [0, -2, 20, -12, ... | 410 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-19, 27, -18, -26, -15, -3, -23, 25, -3, 15],\n [0, -2, 26, -13, 21, 13, 12, -15, -5, -9],\n [0, 0, -9, 29, 29, -10, 19, -7, -30, -2],\n [0, 0, 0, -22, -10, -17, -3, -13, 28, 2],\n [0, 0, 0, 0, 3, -7, -12, -29, -25, 24],... | 22 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-1, -20, -3, 7, 2, 23, -19, -16, 4, -4],\n [-20, 29, 16, 16, 12, -2, 2, 6, 20, 20],\n [-3, 16, -29, 3, -6, -4, -20, 20, 12, 16],\n [7, 16, 3, -13, 0, 26, 2, 16, -20, 10],\n [2, 12, -6, 0, 21, -12, 2,... | 426 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[4, 24, 23, -14, -26, -17, -17, 15, 12, 29],\n [0, -11, -18, 23, -22, 21, 3, -19, 9, -15],\n [0, 0, -25, -11, -25, 4, 10, 20, -28, -10],\n [0, 0, 0, -9, -17, 24, -6, -28, -26, -26],\n [0, 0, 0, 0, 30, 17, 10, 7, 6, -27],\n [0, 0,... | 30 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-2, -13, 27, 17, -20, -28, 11, -13, -15, 10],\n [0, -30, 12, 12, -4, 0, 14, -3, 9, 20],\n [0, 0, 26, 29, 7, 5, 29, 29, 10, -4],\n [0, 0, 0, -5, 23, -4, -27, 20, 27, 17],\n [0, 0, 0, 0, -16, 16, 17, -1, -17, -23],\n [0, 0, 0,... | 169 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[30, 18, 13, 21, 0, -23, -6, 18, 15, 23],\n [0, -20, 9, -30, -10, -14, 21, -3, -13, -2],\n [0, 0, 3, -11, 0, -28, -30, 29, 2, 19],\n [0, 0, 0, 2, -9, -14, 11, -22, -9, -21],\n [0, 0, 0, 0, -28, -14, -22, 16, 9, 5],\n [0, ... | 30 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-8, 12, -26, 0, -6, 4, 12, -30, -16, 8],\n [0, 28, 3, 16, -13, -6, 30, 5, -30, -22],\n [0, 0, -9, 7, 15, 10, -29, 10, 14, 21],\n [0, 0, 0, -8, -19, -21, 29, 1, -26, 25],\n [0, 0, 0, 0, 5, -18, 19, -29, -20, -3],\n [0, 0, 0,... | 114 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[5, 20, 13, 4, 0, 20, 22, 24, 11, 0],\n [20, 6, 4, -13, 8, -3, -14, -2, -3, 6],\n [13, 4, 25, 19, 19, 2, -6, 9, 5, -17],\n [4, -13, 19, 30, -6, 9, -6, -6, 2, 14],\n [0, 8, 19, -6, 17, 2, -12, 10, 6, 4],\n ... | 68 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-15, 16, 22, 7, -4, 19, -4, -6, -20, -12],\n [16, 20, -16, -6, 10, 5, -9, 22, 24, -4],\n [22, -16, 17, 6, -8, -16, 9, -9, 3, -27],\n [7, -6, 6, -15, -2, -22, -12, 3, 14, 4],\n [-4, 10, -8, -2, 18, 14, 10, -3, 0, -22],\n [19, 5, -... | 74 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[24, -30, 4, 10, -23, -26, 1, -30, -29, 11],\n [0, -16, 11, -22, -19, -21, -7, 10, 19, -12],\n [0, 0, -29, -21, -26, 8, -25, -29, -23, -27],\n [0, 0, 0, 5, -23, 0, -14, 28, 26, 15],\n [0, 0, 0, 0, -6, -17, -8, 12, 10, -14... | 29 | MATH |
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