messages list | ground_truth string | dataset string |
|---|---|---|
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-21, -6, 5, 5, 1, 0, 4, -4, -4, -4],\n [-6, -22, -16, 16, 6, -21, -4, 0, 11, -6],\n [5, -16, 26, -9, -6, -19, 4, 14, -22, -4],\n [5, 16, -9, -20, 4, -13, 8, 10, -6, 2],\n [1, 6, -6, 4, -9, -1, -23, 1, -12, -21],\n [0, -21, -... | 343 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[28, 22, 2, -10, -18, -14, 16, -28, 0, 18],\n [22, 6, -6, 10, -14, -9, 16, -15, -14, 17],\n [2, -6, 24, -16, 2, -11, -6, 6, -9, -12],\n [-10, 10, -16, 14, 16, -4, -11, -24, 24, 8],\n [-18, -14, 2, 16,... | 388 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[12, -25, -26, 16, 24, 4, -20, -24, 8, -12],\n [-25, 8, 2, 4, 4, -16, 6, 8, 14, -10],\n [-26, 2, -18, 11, -14, 6, 12, 0, 9, 20],\n [16, 4, 11, 17, 14, -8, -14, 2, 10, 26],\n [24, 4, -14, 14, 1, -22, 8, -17, -8, -12],\n [4, -1... | 397 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[25, -16, -4, -2, 8, 4, -8, -8, -2, -6],\n [-16, 27, 16, 4, -16, 8, 16, -8, -14, -6],\n [-4, 16, 19, -15, 0, -2, 12, -4, 11, 16],\n [-2, 4, -15, -28, -16, 14, 10, -18, 14, 2],\n [8, -16, 0, -16, 6, 8, 0, 8, -11, 13],\n [4, 8,... | 339 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[15, 24, 2, -14, 22, -14, 12, 5, -13, -1],\n [24, -28, -10, 4, 7, 10, -22, -13, -2, -6],\n [2, -10, -5, 10, 10, -12, 9, -3, 8, 1],\n [-14, 4, 10, 13, -12, -10, 8, -26, -7, -6],\n [22, 7, 10, -12, -11, -15, -4, -17, 16, -8],\n... | 370 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[18, -28, 20, 2, 0, -2, 0, 6, -1, 25],\n [-28, 0, 5, 11, 9, -7, 14, -12, -12, -16],\n [20, 5, 27, 5, 20, 18, 16, -22, -8, -8],\n [2, 11, 5, -17, 20, -23, 0, -8, -28, 12],\n [0, 9, 20, 20, -25, 6, -12, 3, 6, 14],\n [-2, -7, 1... | 388 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-15, -13, -30, 9, -30, -30, 20, -10, 30, 29],\n [0, -4, -21, 19, -19, -3, 18, 1, 2, -23],\n [0, 0, 11, 19, 30, 10, 26, -29, 4, 3],\n [0, 0, 0, -19, 23, 20, -3, -16, -12, -19],\n [0, 0, 0, 0, 13, 6, 28, 28, 25, 7],\n [0, 0, 0, 0, ... | 30 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-2, 21, -6, 18, 12, 10, -10, -7, -1, -18],\n [21, 5, 20, 21, 14, -1, 12, 13, 16, 0],\n [-6, 20, 21, 7, -4, -16, -14, -17, 9, 8],\n [18, 21, 7, -25, 9, 10, 9, 0, -6, -15],\n [12, 14, -4, 9, -5, 15, 13... | 350 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-25, -8, -6, 9, 27, 8, -3, -8, -4, 22],\n [-8, 13, 4, 11, 19, -22, -3, -10, -7, 20],\n [-6, 4, 27, -12, -18, 22, 0, -18, 2, -7],\n [9, 11, -12, -22, -12, -24, 14, -18, -2, 0],\n [27, 19, -18, -12, -19, 6, 16, 20, 28, -5],\n ... | 393 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[15, -6, 1, -14, 13, 2, -7, -16, 20, -12],\n [-6, 13, -24, -11, -28, 19, 4, -1, -5, 2],\n [1, -24, -10, 4, -17, 24, -15, 8, -8, -2],\n [-14, -11, 4, 3, -14, -6, 10, 6, -8, -10],\n [13, -28, -17, -14, -27, 6, 18, -3, -12, -8],\n [2... | 73 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-8, 2, 13, -2, 2, 6, 16, 5, 28, 9],\n [2, -1, 12, 0, 0, 4, 0, 20, -18, 10],\n [13, 12, -6, 0, 3, -6, 4, -6, 18, 16],\n [-2, 0, 0, -7, -22, 10, 14, 10, 4, 2],\n [2, 0, 3, -22, 7, -24, -5, -8, 16, 22],\n [6, 4, -6, 10, -24... | 59 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-12, 18, -3, -5, 0, -8, 2, -4, -2, 22],\n [18, 20, 0, -8, -7, 7, 24, 4, -8, -11],\n [-3, 0, -2, -2, -26, -3, 16, -4, 17, -12],\n [-5, -8, -2, 28, 22, -10, 0, -7, 18, -6],\n [0, -7, -26, 22, -29, -11,... | 374 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-15, 23, 4, 21, 2, -10, -11, -23, 20, -5],\n [0, 30, -5, 6, -1, 0, 2, -20, 22, 10],\n [0, 0, -18, -13, -5, -6, 13, -17, -26, 28],\n [0, 0, 0, -29, -27, -19, -20, -27, 12, -22],\n [0, 0, 0, 0, 11, 0, ... | 204 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[0, -25, -6, 18, 21, -13, -9, 0, 5, -22],\n [0, -28, 2, -4, 30, 12, -30, 13, 26, -22],\n [0, 0, 19, -22, 14, -3, -18, -7, 14, 28],\n [0, 0, 0, 8, 29, -9, 6, 21, 8, -11],\n [0, 0, 0, 0, 22, 25, -3, -18, -16, 29],\n [0, 0, 0, 0, 0, ... | 28 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-7, -25, 27, 20, -27, 24, -28, 18, 23, 20],\n [0, 16, 27, -25, -5, 13, 20, 7, -20, 21],\n [0, 0, -21, -5, 17, -4, 19, -17, 5, 28],\n [0, 0, 0, -8, -10, -23, 8, 27, -22, -7],\n [0, 0, 0, 0, -2, 29, -28, -1... | 29 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-19, 28, -16, 16, 6, -8, -20, -6, 18, 9],\n [28, 27, 10, 9, -2, 14, 22, -7, 21, -2],\n [-16, 10, 11, -5, 7, 16, -6, -16, -10, -4],\n [16, 9, -5, 30, 19, 18, 2, 27, 18, 16],\n [6, -2, 7, 19, 11, -5, 8, -12, 14, 12],\... | 423 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[3, -20, 15, 6, 10, -24, 26, 15, 28, 17],\n [0, 17, 8, -21, -10, -25, 18, -30, 3, 28],\n [0, 0, -4, -22, 24, -25, 0, -14, 22, 12],\n [0, 0, 0, -10, -4, 10, -3, -15, 4, 5],\n [0, 0, 0, 0, 30, 26, -10, ... | 113 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-6, 6, -22, 14, -7, -6, -20, 16, 2, -22],\n [6, -1, 2, -15, -6, 20, 16, 10, 8, -8],\n [-22, 2, -27, 18, 14, 6, 3, 10, 4, 12],\n [14, -15, 18, -6, 8, 9, 16, 18, 18, 3],\n [-7, -6, 14, 8, -15, -22, 14, 12, -10, -8],\n... | 386 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[3, 9, -24, 2, -27, 12, 21, -24, -13, -27],\n [0, 30, 30, -20, 12, -11, -20, -16, 15, -14],\n [0, 0, 17, -19, 11, -3, 17, 4, -23, -4],\n [0, 0, 0, -7, -29, 0, -9, -30, 30, -17],\n [0, 0, 0, 0, -28, -2... | 132 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[13, -2, 14, -4, 23, 24, -14, -26, 21, 14],\n [0, -18, 11, -16, -16, -13, 19, -29, -8, 12],\n [0, 0, -27, 16, 23, 24, -6, -20, 19, 17],\n [0, 0, 0, -22, 28, 22, 14, 7, -25, 12],\n [0, 0, 0, 0, -8, -16, 14, -8, 9, 6],\n [0, 0, 0, ... | 28 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-5, 12, -13, 29, 15, 15, -25, 0, -2, -22],\n [0, 4, -14, 29, -19, 5, 21, 17, 30, -7],\n [0, 0, -1, -2, 8, -21, 8, 24, -3, -13],\n [0, 0, 0, -14, -20, -30, -14, 5, 5, 15],\n [0, 0, 0, 0, -3, 17, 2, -28, 20, -23],\n [0, 0, 0,... | 98 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[24, -3, 6, 16, 29, -22, -29, -28, 27, 22],\n [0, 17, -26, -21, -3, -16, -17, 15, -8, -18],\n [0, 0, 9, -23, -14, -1, -14, 4, -30, 18],\n [0, 0, 0, 18, -6, -29, -6, -17, 8, 26],\n [0, 0, 0, 0, 0, -21, -25, 8, -6, 7],\n [0, 0, 0, 0... | 26 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[29, -16, -14, 5, 6, -2, 14, 6, -19, 8],\n [-16, -11, -3, -2, -2, -8, -1, -16, 6, 0],\n [-14, -3, -2, 10, -9, -2, 14, 21, -14, 17],\n [5, -2, 10, 14, 12, -4, -5, -8, 2, 2],\n [6, -2, -9, 12, 1, 2, 12, 0, 3, 6],\n [-2, -8, -2, -4, ... | 58 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-24, 6, -6, -16, 1, 10, -8, -4, 12, -12],\n [6, 24, 22, -6, -13, -12, -8, 27, 8, 0],\n [-6, 22, -24, 9, -13, 8, 5, -18, -6, -1],\n [-16, -6, 9, 4, 8, -1, -23, 22, 27, -12],\n [1, -13, -13, 8, 4, 14, ... | 339 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[21, -1, 5, 0, -4, 10, -12, 14, -16, 12],\n [-1, -8, 20, 0, 14, -6, 24, -4, 18, 1],\n [5, 20, 8, 1, 19, 0, 1, -6, 20, 6],\n [0, 0, 1, -20, 2, -13, -26, 26, -4, 2],\n [-4, 14, 19, 2, -16, -12, 13, -26,... | 357 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[23, -1, 11, -2, 20, 2, -24, 11, -6, -1],\n [-1, 13, 10, 20, -12, 14, -14, -4, 6, 4],\n [11, 10, -6, 14, 22, -4, -18, 2, 14, -2],\n [-2, 20, 14, 13, -1, 1, 6, 24, -12, 7],\n [20, -12, 22, -1, -6, 16, 10, 1, 14, 0],\n... | 352 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-22, 6, 18, 2, -4, -30, 17, 1, 16, 5],\n [6, 0, 8, 12, 8, 21, -2, 18, 11, 0],\n [18, 8, -11, -14, 4, -12, -10, -4, 4, 2],\n [2, 12, -14, 12, -25, -2, -18, 10, 9, -2],\n [-4, 8, 4, -25, 25, 6, 12, 10, -10, 22],\n [-30, 21, -12, -... | 66 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-1, -9, -12, 0, -11, 16, -12, -29, 9, 8],\n [0, -23, 14, 23, -4, -16, -19, 16, -17, -24],\n [0, 0, 6, -11, -21, -12, -13, -1, -1, -6],\n [0, 0, 0, 7, 1, 4, 20, 6, -24, -24],\n [0, 0, 0, 0, 24, -24, -25, -25, -18, 17],\n [0,... | 147 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-14, -8, -14, -24, -10, 2, 14, -22, -12, 8],\n [-8, -27, 12, 20, -24, -8, -2, 8, -8, -14],\n [-14, 12, 20, 24, -11, 14, 10, -9, -4, 1],\n [-24, 20, 24, -3, 8, -16, -1, 8, 4, -23],\n [-10, -24, -11, 8, 11,... | 73 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-28, 10, -23, -5, 1, -20, 19, -30, -16, -27],\n [0, -3, -21, -20, 19, -8, 30, 16, -28, 8],\n [0, 0, -9, 21, -4, 25, -15, -15, 9, -28],\n [0, 0, 0, 11, -29, 8, 15, 17, -4, 29],\n [0, 0, 0, 0, 11, -22, 10, -25, 25, 26],\n [0,... | 149 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[7, 16, -14, 8, -22, -1, 8, -20, -9, -14],\n [16, -30, -14, 9, 0, 6, -8, 12, 22, -24],\n [-14, -14, 30, 2, 24, 9, -26, -14, -3, -16],\n [8, 9, 2, -30, 8, -14, 14, 2, 12, -16],\n [-22, 0, 24, 8, -15, 13, 2, 20, 0, -12],\n [-1, 6, ... | 70 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[11, -6, 2, -18, 20, 0, 0, -4, 19, 11],\n [-6, 6, -3, -6, 0, 6, -5, 8, 10, -7],\n [2, -3, 15, -14, -10, -21, 6, -1, -2, 4],\n [-18, -6, -14, -3, 10, 2, 4, 3, -16, -16],\n [20, 0, -10, 10, -14, -9, -10, 4, 0, -22],\n [0, 6, -2... | 309 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[13, 2, 2, 2, 6, 5, 5, 30, -4, 20],\n [2, 5, 6, -22, -12, 6, -17, 4, -14, 16],\n [2, 6, 7, -4, -26, 2, 18, 8, -12, 10],\n [2, -22, -4, 11, -6, -9, 4, -2, 17, -12],\n [6, -12, -26, -6, -12, -9, -10, 1, 12, 7],\n [5, 6, 2, -9, -9, 1... | 70 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-20, -16, -11, 0, -14, -4, -2, 0, 8, 23],\n [-16, 15, 4, 2, 2, 9, -12, -24, 4, -14],\n [-11, 4, -17, 6, 0, 26, 11, 12, -12, -4],\n [0, 2, 6, 3, -2, 4, -4, -22, -7, -4],\n [-14, 2, 0, -2, 26, -10, -4, 24, ... | 64 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-6, 18, 1, 1, -6, 1, -4, 5, -6, -4],\n [18, 29, 2, -11, -14, -12, -10, -12, -12, -4],\n [1, 2, -27, 10, 28, 25, 18, -10, 22, 16],\n [1, -11, 10, -8, -1, -6, -12, 8, -2, 20],\n [-6, -14, 28, -1, 17, -12, -4, -8, -12,... | 375 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-12, -7, -27, -22, 2, -30, 21, 20, 4, -21],\n [0, -13, -17, -21, -21, -13, -7, -30, -1, -16],\n [0, 0, 4, -13, 10, -15, -10, -16, -26, 14],\n [0, 0, 0, 17, -24, -4, -6, -9, 17, -18],\n [0, 0, 0, 0, -5, -22, -26, 8, ... | 122 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-21, 2, 0, 1, -4, -12, 2, 4, 0, 4],\n [2, 24, -16, 3, 10, 1, 1, -8, -20, -6],\n [0, -16, 6, 2, 7, -8, -6, -16, 4, -18],\n [1, 3, 2, 15, -5, -18, 4, 5, -2, 14],\n [-4, 10, 7, -5, -29, 4, 14, -4, 26, 22],\n [-12, 1, -8, -18, ... | 315 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-15, 8, -8, -14, -3, 4, -26, -10, -26, 19],\n [8, -28, 22, -2, -10, 20, -27, 2, -12, 22],\n [-8, 22, -11, 3, 14, 17, 14, 12, 2, -12],\n [-14, -2, 3, -6, -7, 2, 16, -10, -6, 21],\n [-3, -10, 14, -7, 2... | 397 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[7, 14, 14, 18, -12, -6, 2, -24, 10, 10],\n [14, -28, -14, -8, -2, -17, 22, -2, 18, 17],\n [14, -14, 23, 10, -1, -2, -24, -10, -2, 18],\n [18, -8, 10, 12, 8, -23, 12, 4, -4, 18],\n [-12, -2, -1, 8, 17, 18, -1, 13, 12... | 362 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[26, 4, 19, 6, -18, -6, 1, 28, -30, 18],\n [0, 4, 27, -12, 22, 21, 23, -19, 9, 9],\n [0, 0, -11, 2, -2, -15, -17, -24, -25, -10],\n [0, 0, 0, 23, -12, -6, -28, 5, 14, 22],\n [0, 0, 0, 0, 11, 16, -4, 11, -29, -25],\n ... | 156 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-26, 9, -4, 11, 10, 17, 14, -15, -12, -10],\n [9, -20, -6, 5, 4, 10, 4, 24, 23, -6],\n [-4, -6, -13, -12, -14, 20, -18, 13, -26, -24],\n [11, 5, -12, -20, -2, 8, -13, -10, 2, 24],\n [10, 4, -14, -2, 21, 5, -7, -13, ... | 390 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-23, -5, 26, 10, 7, 6, -3, 23, -6, 8],\n [-5, 1, -3, -8, 5, 8, 6, -12, -8, -8],\n [26, -3, -7, -2, 16, 23, 12, -2, -2, 4],\n [10, -8, -2, 21, -2, -16, 6, 22, 24, 0],\n [7, 5, 16, -2, 23, -14, -10, 14, -7, 26],\n [6, 8, 23, -16, -... | 71 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-5, 10, -19, -16, -26, 24, -8, 7, 1, 10],\n [10, -11, 2, -10, -26, -3, 2, -8, 17, 10],\n [-19, 2, 7, -16, -4, -20, 13, 2, -4, 6],\n [-16, -10, -16, -30, -28, -20, 5, -4, -6, -1],\n [-26, -26, -4, -28, 26, -15, -4, -7, -8... | 78 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-6, 17, -10, 22, 18, -12, 7, 14, -16, 2],\n [17, 2, -4, 6, 4, 10, -4, -2, -12, -8],\n [-10, -4, 21, -12, -3, 2, 10, -16, 8, 6],\n [22, 6, -12, -19, -15, 12, -17, -3, 5, 18],\n [18, 4, -3, -15, 11, -23, -20, 6, 2, -6],\n ... | 70 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-9, 8, -27, 25, -2, 15, 27, -7, -30, -7],\n [0, -1, -19, -12, 6, 27, 9, 12, 23, -27],\n [0, 0, 13, -11, 23, 24, 30, -10, -21, -1],\n [0, 0, 0, 9, 21, 9, 30, 7, -28, -2],\n [0, 0, 0, 0, -26, -20, -27, 18, ... | 26 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[6, -15, -10, 25, 17, 25, 13, -18, -27, 0],\n [0, 17, 2, 6, 22, 6, -7, -6, 20, 10],\n [0, 0, 9, 20, 19, 16, 5, -16, 14, 29],\n [0, 0, 0, -13, 29, 9, -30, -12, -8, -5],\n [0, 0, 0, 0, -12, 17, -13, -29, 29, -4],\n [0, 0, 0... | 17 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-27, -4, 8, -18, -20, 9, -6, 8, 10, 0],\n [-4, -19, -11, 0, -7, -19, 11, -8, -20, -4],\n [8, -11, 0, 14, -1, 4, -4, 2, -19, 12],\n [-18, 0, 14, -9, -4, 4, 12, -2, -11, -13],\n [-20, -7, -1, -4, 8, 8, -6, 14, 6, 0],\n [9,... | 68 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[15, -2, -6, 24, -18, 20, 13, 23, -12, 27],\n [0, -3, -27, -28, 27, 7, 6, 12, -6, 10],\n [0, 0, 10, -2, -19, 4, -11, -14, 22, -19],\n [0, 0, 0, -21, -13, -1, -23, 10, 20, -18],\n [0, 0, 0, 0, -24, 29, -10,... | 30 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-19, -4, 3, -2, 20, -25, 0, -28, 10, 6],\n [-4, 28, -8, -17, -2, 2, 19, 1, -23, 0],\n [3, -8, -26, 1, -26, 5, -10, -2, -10, 6],\n [-2, -17, 1, 14, -15, -7, -22, -20, -12, -4],\n [20, -2, -26, -15, -16, 17, -18, -10, 6, 20],\... | 383 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[10, 12, 3, 2, 14, 24, 9, 0, -18, 14],\n [12, -6, -26, 2, -8, -10, -22, 0, -14, 9],\n [3, -26, 19, -6, -7, -2, 12, -26, 8, 20],\n [2, 2, -6, 21, 4, -4, 0, 24, 4, 6],\n [14, -8, -7, 4, 13, 14, 10, -16, -2, -8],\n [24, -10, -2, -4,... | 68 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-12, 14, 8, 14, -5, -25, -28, -25, -3, -28],\n [0, -18, 26, -18, -30, 30, 9, 6, 0, 21],\n [0, 0, 14, 26, -18, 6, -17, -20, -6, 0],\n [0, 0, 0, -24, -7, 18, 5, 11, 11, 16],\n [0, 0, 0, 0, 16, 13, -5, 16, -5, -30],\n ... | 151 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[13, -8, 24, -3, -15, -10, 12, -14, -2, 10],\n [-8, 28, 9, 14, -6, -18, 6, 3, -11, -26],\n [24, 9, -14, -2, 1, 9, -9, 0, -8, 10],\n [-3, 14, -2, -14, 8, 26, 0, 2, -4, -17],\n [-15, -6, 1, 8, -2, -4, 10, 10, 10, -20],\n [-10, ... | 340 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-28, -10, -16, -16, 14, -4, 3, -10, 18, -2],\n [-10, 13, 4, -10, -11, -4, -3, 4, 0, 16],\n [-16, 4, -22, -10, 6, 11, 8, -20, 4, 8],\n [-16, -10, -10, -22, -10, 0, 8, -26, -6, 17],\n [14, -11, 6, -10,... | 338 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-17, 17, -12, 11, -8, 10, 21, 18, -18, 16],\n [17, 12, -15, 9, 7, -8, -6, 4, 10, 7],\n [-12, -15, 14, 6, -14, 12, 14, 10, 4, -12],\n [11, 9, 6, -6, -2, 0, -14, 22, -8, -10],\n [-8, 7, -14, -2, -16, 2, -1, 4, -11, 1],\n [10, -8, ... | 65 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[12, -9, -8, -14, -2, 4, 18, -2, 26, 19],\n [-9, 10, 12, -4, -2, 5, -10, 0, 19, 13],\n [-8, 12, 12, 4, 0, 8, 6, -11, 2, -5],\n [-14, -4, 4, -6, 11, -2, 15, -20, -2, -12],\n [-2, -2, 0, 11, 3, 4, 18, 8, 7, 12],\n [4, ... | 311 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-19, 1, 25, -5, 14, 10, 10, 14, -15, 3],\n [1, 17, 11, -2, 16, 3, 0, -28, 7, 12],\n [25, 11, -1, 2, -20, 28, 19, -16, -12, 2],\n [-5, -2, 2, -8, 3, -9, -2, -22, 4, 18],\n [14, 16, -20, 3, 15, -2, 4, ... | 374 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[19, -1, -17, -8, 10, 22, 16, -11, -10, 14],\n [-1, 19, 8, 2, 25, 23, 4, -4, 6, 1],\n [-17, 8, -25, -5, 2, 6, 2, -12, -7, 20],\n [-8, 2, -5, -1, -12, 20, 0, 19, 8, 2],\n [10, 25, 2, -12, 5, 23, 2, -14, 8, 9],\n [22, 23, 6, 20, 23,... | 73 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-17, -16, 10, 2, 2, -10, -26, -2, -18, -5],\n [-16, -20, -2, 23, -12, -2, 14, 6, -12, 16],\n [10, -2, 8, 14, 8, -4, 4, 18, 18, -4],\n [2, 23, 14, -15, 6, 18, -2, -12, -3, 2],\n [2, -12, 8, 6, -14, -18, 9, 5, 15, -13],\n [-10... | 335 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[6, 17, -27, 12, -17, 30, -18, -4, -7, -4],\n [0, 22, 21, 16, 19, 8, -10, 20, 26, 10],\n [0, 0, -4, 11, 15, 17, -4, -23, 2, -19],\n [0, 0, 0, 5, -29, -19, -4, 25, -14, -11],\n [0, 0, 0, 0, -23, -13, 2... | 160 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-2, -17, -22, -22, -5, 18, 16, 11, -14, 10],\n [0, 29, 30, 15, -28, -2, -6, -10, -19, 23],\n [0, 0, 14, 15, 17, -24, -21, -16, 9, -20],\n [0, 0, 0, -8, -18, -4, 10, -14, 19, 30],\n [0, 0, 0, 0, -10, -11, -11, 0, -23, -7],\n [0, 0... | 29 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[3, -12, -20, -3, 5, 2, -2, 8, -24, 4],\n [-12, 15, 22, -2, -10, 20, 10, 0, -1, 13],\n [-20, 22, 23, 18, 10, 28, -1, -8, 8, 0],\n [-3, -2, 18, 24, 13, -30, -2, 12, 10, -10],\n [5, -10, 10, 13, -8, 4, 10, -8, 11, -18],\n [2, ... | 383 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[24, -28, 10, -2, 6, 24, 25, 14, -15, -15],\n [0, 19, 12, 18, -24, -16, 7, -25, -13, -12],\n [0, 0, -29, -28, 15, 23, -6, 5, 23, 18],\n [0, 0, 0, 1, 20, 10, 5, 8, 5, 12],\n [0, 0, 0, 0, -25, -23, -16, 14, -2, -3],\n [0, 0, 0, 0, 0... | 29 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-19, 24, -29, 28, 6, 29, -27, 10, 14, 14],\n [0, 3, -8, -18, -24, 1, -8, 18, -23, 19],\n [0, 0, 6, 3, 17, -2, 6, -8, 7, -2],\n [0, 0, 0, 9, -20, -17, 25, 18, 11, -29],\n [0, 0, 0, 0, 4, 11, -3, -23, 1, -27],\n [0, 0, 0, 0, 0... | 115 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[0, 6, -2, -1, 20, -16, -10, 8, 17, 14],\n [6, 30, 24, 1, 14, 2, -8, 14, -16, 10],\n [-2, 24, -15, -14, 20, 14, -23, 11, -17, -8],\n [-1, 1, -14, -8, -28, 10, 14, -8, 2, 8],\n [20, 14, 20, -28, 8, 15, -1, ... | 70 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-26, 2, 26, -2, 20, 6, -20, -8, -3, -26],\n [2, 12, -8, 2, 17, 1, 3, -16, -18, -10],\n [26, -8, 5, 0, 8, -15, 19, 6, 6, 0],\n [-2, 2, 0, -19, 0, 3, 20, 20, -22, -2],\n [20, 17, 8, 0, 15, 8, -10, 3, -8, 9],\n [6, 1, -15, 3, 8... | 366 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[6, 22, 6, 6, 14, 8, 2, 24, -19, -5],\n [22, 2, 19, -12, -8, -18, 13, -1, 16, 1],\n [6, 19, -20, 8, -4, 21, 16, 8, 20, -10],\n [6, -12, 8, 19, 14, 22, 16, -5, 12, -8],\n [14, -8, -4, 14, -22, -18, -20, -17, -6, -15],\n [8, -18, 2... | 70 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-12, -26, -8, -12, -17, -21, 0, -18, -9, 6],\n [0, -21, 0, 12, 4, -18, -1, 3, 5, 4],\n [0, 0, 24, 22, -27, 16, -25, 24, -3, -1],\n [0, 0, 0, 8, 4, 8, 13, -16, -12, -1],\n [0, 0, 0, 0, -25, -5, -4, 4, -3, -26],\n [0, 0, 0, 0, 0, 1... | 25 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-7, 6, -2, -21, 8, 2, 0, 24, -2, -2],\n [6, -19, -4, 7, -4, -10, -15, -2, 6, 16],\n [-2, -4, 29, -10, 16, 18, 24, 16, -8, -13],\n [-21, 7, -10, -22, -26, 2, 2, 12, -14, 14],\n [8, -4, 16, -26, 5, 6, 2, -7, 26, -2],\n [2, -10... | 369 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-29, -16, 16, -4, -24, -4, -10, -18, 24, -14],\n [0, 28, -21, 26, 2, -17, 6, -23, 2, -24],\n [0, 0, -24, 10, 23, 5, 24, -24, -11, -13],\n [0, 0, 0, -17, 9, 22, -17, -10, 18, 28],\n [0, 0, 0, 0, -4, -7, -26, 11, 7, -3],\n [0, 0, 0... | 29 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[8, -10, -16, 25, 3, 25, 29, -4, -29, -21],\n [0, -4, 30, -27, 16, -18, -14, -10, -8, 2],\n [0, 0, -16, -17, -22, 13, 6, -1, -2, -8],\n [0, 0, 0, -24, 22, -22, 19, -27, -29, 25],\n [0, 0, 0, 0, 26, 13, 14, 15, 6, -4],\n [0, 0, 0, ... | 26 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-19, 26, -29, -19, -4, 15, -24, 30, 27, 27],\n [0, 22, 5, -30, 18, 4, -1, 0, -14, -23],\n [0, 0, -21, 3, -9, -27, 1, 30, -2, 15],\n [0, 0, 0, 28, 30, -27, -29, 3, 12, -9],\n [0, 0, 0, 0, -14, -19, -3, -13, -28, -26]... | 158 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[12, -12, 2, -12, -22, -26, 2, 14, -22, -18],\n [-12, 6, 4, 2, 4, -8, 19, -8, -8, 13],\n [2, 4, -15, 18, 10, -6, 7, 7, 9, -2],\n [-12, 2, 18, -30, -6, -16, -23, 20, 11, 15],\n [-22, 4, 10, -6, -29, 8, 6, -10, 8, -4],\n [-26,... | 371 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[5, -25, 12, 10, 18, -3, -2, 8, 28, -13],\n [-25, -13, 8, 18, 8, -17, 6, 15, -24, 8],\n [12, 8, 2, 22, 8, -9, 12, -9, -14, -10],\n [10, 18, 22, -4, 4, 23, -14, 25, 11, -8],\n [18, 8, 8, 4, 4, -4, -14, 4, 18, -6],\n [-3, -17,... | 409 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[9, -9, 12, 2, -22, -8, 16, 3, 15, -4],\n [-9, 16, -18, 4, 4, -9, -4, 8, 0, -23],\n [12, -18, 20, 0, 2, -17, 8, -12, 12, 2],\n [2, 4, 0, -26, 1, 12, -14, -14, 10, -6],\n [-22, 4, 2, 1, -4, 8, -3, -22, -2, 12],\n [-8, -9, ... | 59 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-10, 0, -30, -18, -20, -2, -27, 5, -16, 28],\n [0, 25, 20, -2, -10, -29, -25, 0, 23, -7],\n [0, 0, -26, -29, 27, -19, -26, 11, 29, 10],\n [0, 0, 0, 25, -25, 25, 23, -20, -28, 0],\n [0, 0, 0, 0, -26, ... | 167 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-9, -14, -16, 4, -2, -26, 30, -2, 6, 6],\n [-14, -2, -12, 8, 9, 7, 14, 22, 10, 1],\n [-16, -12, -14, -6, -19, -16, 4, -19, -16, -8],\n [4, 8, -6, 7, -16, -4, 4, -14, 23, 15],\n [-2, 9, -19, -16, 21, -6, 4, 14, 8, -12],\n [-... | 360 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-8, 6, 22, -21, 1, -18, 6, -2, 16, -22],\n [6, 5, -12, -16, -14, 26, -4, -9, 13, 28],\n [22, -12, -8, 4, 8, 20, 22, -11, 2, 22],\n [-21, -16, 4, 23, 14, 20, 4, 20, -8, -17],\n [1, -14, 8, 14, 8, 8, 1... | 374 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[27, -29, 22, 26, -10, -16, -20, -21, -13, -8],\n [0, 23, 24, 25, -5, 22, -29, 8, -24, -7],\n [0, 0, -5, -8, -17, -2, -6, 25, 0, -29],\n [0, 0, 0, 16, -20, -2, 11, 4, 18, -22],\n [0, 0, 0, 0, 20, -14, -9, ... | 28 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[14, -12, 14, 0, 4, -20, -5, 12, 16, 0],\n [-12, -25, 27, -6, -6, -29, 2, 12, -13, -10],\n [14, 27, 7, -2, -20, -16, -21, 19, -14, -2],\n [0, -6, -2, 7, 0, -4, 0, 26, -24, -9],\n [4, -6, -20, 0, -24, 15, 22, 0, 20, 4],\n [-2... | 375 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-23, 14, -2, -12, -16, 13, 21, -4, -20, -19],\n [14, 16, -16, -10, 8, -19, 1, -18, -14, 6],\n [-2, -16, 5, -14, 13, -4, 6, -8, 6, -4],\n [-12, -10, -14, -6, 18, 1, 8, -12, -4, 2],\n [-16, 8, 13, 18, -13, ... | 71 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-27, -27, 21, -30, -6, -5, -20, -8, -29, -12],\n [0, 9, 24, 21, -27, 26, -15, 16, 6, 30],\n [0, 0, -16, -8, 18, -28, -13, 12, -5, -25],\n [0, 0, 0, 27, -14, 15, 7, 11, 17, 19],\n [0, 0, 0, 0, 4, -19, 17, -28, 17, -27],\n [0, 0, ... | 28 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[8, -4, -8, 14, -4, 16, 22, 12, 4, -18],\n [-4, 30, -2, -1, 2, -16, 14, -2, 22, 0],\n [-8, -2, 21, 4, 0, -19, 6, -9, -1, 11],\n [14, -1, 4, 29, -8, -4, -14, 10, -2, 9],\n [-4, 2, 0, -8, -14, -10, -6, -13, -6, -6],\n [16, -16... | 354 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-12, 1, 23, -3, 10, -23, 11, 10, 28, 28],\n [0, 8, -9, -7, 7, -29, 30, 10, 10, -12],\n [0, 0, -3, 1, -12, -15, -1, -9, -17, 21],\n [0, 0, 0, 23, -29, -9, 15, 2, -16, 19],\n [0, 0, 0, 0, 10, 10, -20, -27, -24, -10],\n [0,... | 28 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-23, 14, -8, -22, -1, 6, -8, 7, -10, -10],\n [14, -24, -5, -18, -14, 2, 4, 1, -2, -9],\n [-8, -5, -8, -12, 21, 10, -20, 1, 11, 4],\n [-22, -18, -12, -3, -28, -4, 0, 17, 2, 16],\n [-1, -14, 21, -28, -18, -8, -8, 22, 7, -5... | 67 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[29, 14, 11, 4, 2, 4, -2, 18, -14, 16],\n [14, -6, 0, 3, 20, -7, 16, 1, -8, 12],\n [11, 0, 21, -3, -10, -25, 15, -5, -2, -12],\n [4, 3, -3, -13, -18, 26, -8, -4, 0, -20],\n [2, 20, -10, -18, -23, -8, 5, -2... | 61 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-29, -7, 10, -12, -4, -14, 2, 4, -27, -6],\n [-7, -28, -7, 18, 22, -15, 23, -10, 11, -8],\n [10, -7, -14, 8, 12, 14, -25, -6, -8, 4],\n [-12, 18, 8, 11, -8, 8, 4, 2, 16, 8],\n [-4, 22, 12, -8, -28, -16, 19, 16, 4, 10],\n... | 81 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-1, 2, -2, 10, 2, -12, 26, 25, 2, -20],\n [2, -19, -8, 10, 18, -13, -6, -21, 9, -4],\n [-2, -8, 30, -14, -8, -2, 18, 9, -3, -26],\n [10, 10, -14, -3, 26, -11, 24, -8, -11, 26],\n [2, 18, -8, 26, 7, 0... | 368 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-17, 5, 18, -6, 9, -13, -8, 4, 26, 0],\n [5, -7, 12, -1, 12, -12, 3, -3, 4, -24],\n [18, 12, 12, -5, 4, -5, 16, -3, -18, 4],\n [-6, -1, -5, 16, 20, 25, -9, -7, -22, -3],\n [9, 12, 4, 20, 16, 21, 12, ... | 349 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-5, 2, -4, 8, 1, 0, 0, -10, 15, 8],\n [2, -30, 15, -19, -16, 12, 19, 10, 8, -26],\n [-4, 15, 14, -24, 6, 9, -18, -10, 2, 8],\n [8, -19, -24, 14, -3, -2, 0, 0, 7, -19],\n [1, -16, 6, -3, 12, 16, 14, -... | 321 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-3, -15, 1, 16, -19, -15, 21, -12, -26, -19],\n [0, -26, 11, 27, -14, 16, -23, 9, 9, -1],\n [0, 0, 14, -15, 10, -15, 11, -28, -8, -9],\n [0, 0, 0, 14, 5, -27, 7, -7, -12, -20],\n [0, 0, 0, 0, 24, 8, 22, -13, -19, -17],\n [0, 0, 0... | 27 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[5, -24, -20, 4, -4, -18, -10, -2, 10, -19],\n [-24, 25, 2, 11, -2, -20, -2, 12, 2, 26],\n [-20, 2, 11, 20, -10, 20, 0, -16, 5, -13],\n [4, 11, 20, -11, -10, 23, 4, 18, 15, -4],\n [-4, -2, -10, -10, -... | 368 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-11, -18, -22, -10, -2, 0, 3, -16, -2, 0],\n [-18, 19, 9, 10, -14, 10, 6, 19, 18, 4],\n [-22, 9, -18, 22, 6, 15, -4, 18, 19, -9],\n [-10, 10, 22, 20, 6, -14, 4, -16, 6, -4],\n [-2, -14, 6, 6, 28, -1, -2, ... | 67 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-24, 21, -4, -19, -11, 26, -17, -21, 10, -8],\n [0, 16, 27, 0, 21, 25, -21, -12, -12, 13],\n [0, 0, 28, 13, 10, 30, 28, 1, -11, -27],\n [0, 0, 0, -18, -28, -19, -2, 24, 30, 0],\n [0, 0, 0, 0, -9, 10, 0, 21, 25, 14],\n [0, 0,... | 178 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-7, 17, 22, 20, 23, 7, -17, 6, 6, -25],\n [0, -9, -13, 20, -29, 1, -14, 29, -30, -22],\n [0, 0, 6, 27, -1, 0, -8, 19, -3, 28],\n [0, 0, 0, 5, -5, -5, 14, -18, -14, 9],\n [0, 0, 0, 0, -19, -22, -16, 14, 6,... | 19 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[18, -6, 5, -14, 0, -5, -15, -2, 10, 18],\n [-6, -6, -12, 16, -25, -9, -2, 12, -14, -14],\n [5, -12, 27, -1, 6, 20, -20, 6, -10, 14],\n [-14, 16, -1, -27, -26, 12, -2, 0, -17, 2],\n [0, -25, 6, -26, 3, 16, -15, -23, 4, 8],\n ... | 380 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[14, 30, -18, 23, -24, -26, 27, -2, -23, -23],\n [0, -24, -12, 30, 8, -8, 5, 11, 1, 14],\n [0, 0, 20, 11, 8, -26, -28, -9, -3, -9],\n [0, 0, 0, 12, 11, 29, 24, -18, -24, -21],\n [0, 0, 0, 0, -9, -11, 17, -11, -25, -22],\n [0, 0, 0... | 24 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-21, 25, 16, -28, -29, 23, 6, 25, 0, 2],\n [0, 12, -19, 27, -28, 24, 30, 17, -5, -17],\n [0, 0, -5, -15, 22, -23, 18, 18, -3, -24],\n [0, 0, 0, 10, 5, -23, -21, -16, 24, -13],\n [0, 0, 0, 0, 30, 26, ... | 157 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-11, 0, 10, -2, 4, -24, -4, 5, 9, 27],\n [0, 4, 0, 0, 6, -6, 5, -30, 8, 10],\n [10, 0, -21, -5, 4, 19, -1, 22, 2, -4],\n [-2, 0, -5, -14, 20, -16, 10, 6, 23, -2],\n [4, 6, 4, 20, -21, 8, -5, -3, 16, 2],\n [-24, -6, 19, -16,... | 327 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[30, -10, 6, -14, -8, -8, -4, 2, -22, -9],\n [-10, 19, -2, -22, 8, 0, 16, 6, 12, 12],\n [6, -2, 6, 22, 10, 0, 16, -4, 12, 5],\n [-14, -22, 22, -30, 18, -3, 6, 14, -11, -13],\n [-8, 8, 10, 18, -9, -18, 7, -9, 6, 3],\n [-8,... | 67 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[6, -25, -11, 1, 15, 13, -2, -27, -24, 12],\n [0, 3, 5, -24, 2, -16, 21, 1, -9, 25],\n [0, 0, -6, -26, -17, 19, 4, -29, -6, 23],\n [0, 0, 0, -20, 29, 18, 4, -8, 24, -26],\n [0, 0, 0, 0, -26, 23, -28, -25, -8, 15],\n [0, 0, 0,... | 111 | MATH |
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