messages list | ground_truth string | dataset string |
|---|---|---|
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-9, -10, 3, 6, -2, -20, 3, -16, 4, 0],\n [-10, 27, -14, -2, -8, 3, -5, 1, 6, -4],\n [3, -14, 13, -19, -28, -18, -19, -16, 14, 4],\n [6, -2, -19, -18, -3, -2, 6, 4, -7, 9],\n [-2, -8, -28, -3, 2, 1, -23, -16, -10, 1]... | 339 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[17, -8, -1, -14, -11, 2, -18, 8, 18, 2],\n [-8, 3, -4, 4, 14, -9, 3, 8, 10, 15],\n [-1, -4, 13, 0, 10, 10, -2, -8, 2, -4],\n [-14, 4, 0, -8, -7, 4, -12, 11, 27, 4],\n [-11, 14, 10, -7, -16, 11, 0, -12, -9, -5],\n [2, -9,... | 55 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-9, 22, 12, -16, 16, -6, 10, 10, 10, 19],\n [22, 23, -8, 23, 22, 6, 12, -4, -20, -13],\n [12, -8, 20, 19, -17, 20, -2, -10, -2, -23],\n [-16, 23, 19, 5, -18, 14, 1, -20, 16, 9],\n [16, 22, -17, -18, -1, 0, -2, -6, 12, 2],\n [-6, ... | 75 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-30, -4, -14, 4, -12, -1, 0, -6, 4, -18],\n [-4, -6, 0, -6, 14, 7, -12, -1, -4, 2],\n [-14, 0, 11, -4, -4, -15, 4, -2, -8, 18],\n [4, -6, -4, 28, 12, 4, 8, 18, 7, -4],\n [-12, 14, -4, 12, 15, -14, -14, -25, -28, 14]... | 322 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-5, -3, -5, -14, -28, -17, -15, 18, 29, 20],\n [0, -3, -3, 22, 21, 21, -6, 26, -22, -20],\n [0, 0, 14, -10, -29, 23, 3, 11, -18, -26],\n [0, 0, 0, -3, -3, -26, -11, 6, 8, -21],\n [0, 0, 0, 0, -11, 24, -30, -27, -16, 16],... | 30 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[21, -21, -1, 12, -13, -14, -25, -20, -7, 5],\n [0, 2, 23, -13, -26, 0, -15, -29, -22, -29],\n [0, 0, 28, -14, 27, -6, -12, 11, -23, 21],\n [0, 0, 0, -22, -26, -13, 9, 30, 21, -17],\n [0, 0, 0, 0, -7, 26, 24, -2, -18, 26],\n... | 186 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[11, 12, 12, -4, -10, 6, -24, 26, 0, -2],\n [12, 2, 14, 15, -14, -1, 6, 6, -18, -22],\n [12, 14, -27, 12, -20, 0, 18, 8, -14, 14],\n [-4, 15, 12, -26, 4, 12, 5, 10, -10, 0],\n [-10, -14, -20, 4, 23, 6, -4, -10, 0, -27],\n [6, -1, ... | 68 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-3, 5, 2, -21, -8, -24, -4, -10, 12, 4],\n [5, -8, -8, -6, 9, -10, -6, -1, 0, 26],\n [2, -8, -9, 10, -7, -1, 3, 12, -6, 2],\n [-21, -6, 10, 12, 0, -22, 4, -2, 12, 10],\n [-8, 9, -7, 0, -23, -16, -8, -13, 4, -24],\n [-24, -10, -1,... | 58 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[20, -7, -15, 27, -1, -7, -28, -2, 11, -19],\n [0, -4, -2, -29, 26, 30, -2, 9, 26, -22],\n [0, 0, 13, -3, 6, -8, -18, -26, 1, -3],\n [0, 0, 0, 1, -10, -26, 6, 5, 28, -3],\n [0, 0, 0, 0, -15, 19, -21, ... | 138 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[25, 0, 22, 22, 11, -2, 28, 2, -9, 18],\n [0, -23, 27, 17, 26, -25, 15, -6, 3, -22],\n [0, 0, -12, 18, -30, -7, 3, -14, 3, 4],\n [0, 0, 0, -6, 24, -19, -10, 6, 15, 7],\n [0, 0, 0, 0, 14, -20, -15, -9, 15, -20],\n [0,... | 123 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-7, -1, 11, 4, -10, -25, -10, -23, -26, 9],\n [0, 0, 27, -1, 20, -10, 5, 30, -4, 7],\n [0, 0, 1, -5, -27, -4, 5, 6, -4, 16],\n [0, 0, 0, -5, 13, -7, 21, -24, 24, 13],\n [0, 0, 0, 0, 12, -29, 15, 16, -8, -3],\n [0, 0, 0, 0, 0, 22... | 29 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-25, 17, 16, -18, -18, 2, 0, -28, -6, -11],\n [17, -18, 24, -7, -10, -4, -4, 1, -22, 26],\n [16, 24, -28, -5, 17, 6, 10, 10, -4, 24],\n [-18, -7, -5, 22, 24, 6, -2, -10, 2, -2],\n [-18, -10, 17, 24, 16, 17, -18, -22, 0, -7]... | 384 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[10, 16, -16, -11, -10, 3, -22, 22, -4, 4],\n [16, -5, -22, 2, 20, -1, 2, -14, -17, 12],\n [-16, -22, -16, -21, 15, -22, -12, -12, -6, 10],\n [-11, 2, -21, 6, 14, 9, -24, 0, -6, 25],\n [-10, 20, 15, 14, -14, 26, 7, 4, -21, 2]... | 402 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-19, -2, -8, 16, -22, -23, 19, -15, -8, 22],\n [0, 28, -21, -19, 30, 21, -19, -1, -21, -17],\n [0, 0, -11, 10, 8, -24, -1, 21, 10, -7],\n [0, 0, 0, 7, 5, -14, -10, 27, 15, 28],\n [0, 0, 0, 0, 9, 17, -27, 1, -12, -11],\n [0,... | 153 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-8, 12, 8, 2, 16, 4, 18, -6, 10, 4],\n [12, -24, 7, 2, 0, 2, 14, 16, 14, -3],\n [8, 7, -10, 4, -13, -12, -6, -9, 12, 4],\n [2, 2, 4, -19, 8, 12, 17, -1, 14, -1],\n [16, 0, -13, 8, 14, 2, -16, 12, -20, 16],\n [4, 2, -12, 12, 2, 0,... | 63 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[12, 8, -18, -18, 8, 15, 3, -28, 1, -27],\n [0, 22, -30, -22, 18, 19, -24, -4, -28, -9],\n [0, 0, -26, 18, 27, -1, -3, 20, -4, 19],\n [0, 0, 0, -24, 19, -1, -18, -9, -20, -26],\n [0, 0, 0, 0, 6, 0, -2... | 132 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[10, 6, 2, 18, 26, 15, -14, -22, 0, 4],\n [0, -18, 21, 6, 7, -17, -25, 27, -2, 30],\n [0, 0, -22, 5, -8, -16, 23, 26, 19, 16],\n [0, 0, 0, 16, 29, -6, 6, -8, -20, 25],\n [0, 0, 0, 0, 8, -30, 21, 13, -18, -... | 29 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-20, -5, -13, 22, 1, 29, -4, -15, -21, 13],\n [0, 2, -21, 11, 29, -5, 11, -6, -29, -5],\n [0, 0, 1, -30, -7, 19, 12, 25, 13, 2],\n [0, 0, 0, 4, -14, 27, 17, 12, 17, 13],\n [0, 0, 0, 0, 1, -12, -19, -3, -29, -21],\n [0, 0, 0, 0, ... | 30 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-17, 19, -9, 12, -23, 20, -4, -8, -29, -15],\n [19, -27, -4, -17, -17, 12, -2, -4, -6, -2],\n [-9, -4, 4, 5, -3, 8, -2, 4, -16, -2],\n [12, -17, 5, -3, -8, 18, -10, 18, 22, 6],\n [-23, -17, -3, -8, -19, 1, 10, -24, 15, 5],\n... | 367 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[6, -26, -17, -12, 4, -4, 19, -18, -10, 1],\n [-26, 9, 3, 5, 20, 18, 6, -23, 18, 18],\n [-17, 3, -13, 5, -2, -5, 10, 12, 4, -8],\n [-12, 5, 5, -6, 2, 18, 13, 12, -18, 5],\n [4, 20, -2, 2, -5, -10, -4, 2, 14, 10],\n [-4, 18, -5, 18... | 68 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[8, 26, 4, 21, 6, -18, 24, -11, 24, -4],\n [26, 25, 8, 15, -1, -10, -2, -16, -26, -21],\n [4, 8, -2, -2, 3, 12, 1, -24, 4, -18],\n [21, 15, -2, -16, 18, -10, 12, 4, -11, -2],\n [6, -1, 3, 18, 7, 12, 8... | 391 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-2, -3, 19, 8, 5, 12, 8, -3, -3, -12],\n [-3, -5, -4, -18, -14, -8, 1, -13, 16, 11],\n [19, -4, -25, 25, 2, 8, -2, -10, 0, 4],\n [8, -18, 25, 10, -19, 11, 10, -13, 16, 10],\n [5, -14, 2, -19, -18, 6, -20, 0, -14, 12],\n [12, -8, ... | 72 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[16, 2, 16, -20, 1, -16, -12, -5, -10, 8],\n [2, -30, 8, 16, -12, -16, -1, -15, 14, 16],\n [16, 8, -29, -1, 28, -5, -2, -3, 12, 4],\n [-20, 16, -1, 25, -22, -20, -25, 3, 16, -14],\n [1, -12, 28, -22, 29, 24, 22, 0, -4, -3],\n [-16... | 79 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-18, 11, 11, 14, -8, 20, -1, 24, -14, -4],\n [0, -24, 24, -27, 18, 0, -1, 0, 25, -27],\n [0, 0, 9, 9, 22, 17, 16, 19, -8, 20],\n [0, 0, 0, -15, -10, -22, 21, -6, 18, 5],\n [0, 0, 0, 0, -3, 14, 10, 25... | 120 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[3, 4, -4, -4, -10, 18, 6, 11, 0, -16],\n [4, 1, 0, -8, 6, -9, -15, 7, -6, 0],\n [-4, 0, -29, 21, 0, -1, -6, -8, 0, 14],\n [-4, -8, 21, -13, 8, -1, -11, 6, 23, -6],\n [-10, 6, 0, 8, -10, -11, -10, -26... | 347 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[22, -3, -12, -27, -27, -18, -3, 26, -20, 22],\n [0, -25, -19, 24, 9, 6, 25, -7, 21, 24],\n [0, 0, -22, -5, -27, 10, 13, -27, 18, 21],\n [0, 0, 0, -16, 9, 7, 10, 23, 12, 24],\n [0, 0, 0, 0, -29, 12, -23, 7... | 29 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[2, -8, 4, 11, -5, 12, 0, 20, -17, 6],\n [-8, -7, -8, 11, 0, 10, -3, -9, -4, -13],\n [4, -8, -12, -12, 24, -15, -4, 8, -4, 6],\n [11, 11, -12, 9, 16, 12, 4, 7, -14, -5],\n [-5, 0, 24, 16, -18, -24, -1, -8, -12, -2],\... | 300 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-18, 23, 20, 5, -25, 28, 23, -14, -5, -7],\n [0, -29, -11, -4, -25, 19, -4, 24, 23, -7],\n [0, 0, 17, 27, 2, 11, -21, -10, -25, -1],\n [0, 0, 0, 26, 18, -28, -5, 3, -1, -13],\n [0, 0, 0, 0, -10, 23, -7, -... | 29 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-4, 20, 0, 8, -1, -2, 9, 3, -10, 0],\n [20, 29, 24, 14, 10, -16, 2, -1, -16, -10],\n [0, 24, -22, 1, -22, -8, -20, 4, -10, 16],\n [8, 14, 1, -28, 16, 3, 4, -12, -2, -6],\n [-1, 10, -22, 16, -1, -1, -... | 324 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-9, 11, -6, -10, -6, 2, -24, -22, 16, 4],\n [11, 8, 16, 18, 2, 12, 20, 18, -20, -10],\n [-6, 16, 23, 22, 12, 16, -20, -14, -9, -10],\n [-10, 18, 22, 26, 12, -14, -16, -8, 4, -20],\n [-6, 2, 12, 12, -11, 8, -17, -4, 12, 13],... | 346 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[27, -10, 14, -10, -22, -2, 9, -8, -2, -2],\n [-10, 10, -15, -6, 2, -6, 7, 15, 8, -21],\n [14, -15, 23, 8, 12, 6, 9, -6, 8, 9],\n [-10, -6, 8, -20, 2, 16, 4, -2, 0, -16],\n [-22, 2, 12, 2, 3, 10, -9, -11, -13, -11],\... | 299 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-22, 23, -2, 4, -6, 20, 10, -5, -3, -8],\n [23, 11, 17, 4, -6, 10, 12, -10, 8, 3],\n [-2, 17, -14, -5, 2, -17, -7, 14, -18, 10],\n [4, 4, -5, 15, -12, -12, -22, 3, -12, 13],\n [-6, -6, 2, -12, -9, 2, -12, -3, -4, -4],\n [20,... | 308 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[14, 10, 22, -5, 16, 6, -16, -4, 12, 16],\n [10, -18, -18, 0, 26, -4, 19, 2, 28, -25],\n [22, -18, -26, 1, 7, -1, -20, -3, -14, -2],\n [-5, 0, 1, 6, -4, -2, 2, -12, -9, 10],\n [16, 26, 7, -4, 23, 22, -24, 3, -6, 14],\n [6, -4, -1... | 79 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[23, -16, -12, -7, 4, -29, -18, 14, 26, -22],\n [0, 4, -29, 15, -15, 15, 5, -29, -15, -23],\n [0, 0, -13, 23, 10, -5, 13, -26, -10, 4],\n [0, 0, 0, -5, 1, 29, 17, 19, 13, 13],\n [0, 0, 0, 0, 10, 5, -7... | 140 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[0, -6, -2, -14, -2, -20, -24, -12, -3, 1],\n [-6, 12, -8, -16, 4, -11, 6, -8, 22, 10],\n [-2, -8, 11, -2, 20, 5, -22, 23, -24, -2],\n [-14, -16, -2, -23, -10, -6, -10, 8, 0, -7],\n [-2, 4, 20, -10, 0, -9, -9, -2, -12, -16],... | 320 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[0, -4, -29, -12, -3, 14, 13, 26, -10, 24],\n [0, -16, 3, 9, -28, -30, 30, -7, 12, -4],\n [0, 0, -14, -3, 8, 24, -27, 30, -2, 14],\n [0, 0, 0, -2, 13, 21, -2, -26, -20, -29],\n [0, 0, 0, 0, 13, -23, 24, -8... | 19 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[20, -4, 6, 16, 8, 16, 4, -10, 8, -14],\n [-4, 16, -10, -6, -11, -4, 22, 7, 16, -7],\n [6, -10, -4, -10, -12, -4, 20, 14, 18, -16],\n [16, -6, -10, 24, -12, 18, -15, 16, 8, -1],\n [8, -11, -12, -12, -3, -12, -20, 26, 8, 8],\n... | 368 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[24, 21, 29, 10, -18, -17, -30, 2, -12, -22],\n [0, 18, 17, -19, -26, -25, 21, 24, -20, 20],\n [0, 0, 24, -21, -16, 19, 22, 30, 8, 24],\n [0, 0, 0, -15, 14, -14, 5, -12, -27, 28],\n [0, 0, 0, 0, -4, -27, 30, -7, -14, 29],\n [... | 146 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[21, 6, 14, 12, 8, 1, 10, 12, 23, 16],\n [6, 18, -15, -6, -6, -8, 21, -10, -7, 10],\n [14, -15, -10, -10, -1, 28, -10, -4, -2, 16],\n [12, -6, -10, 6, 3, -6, -18, -8, -17, 8],\n [8, -6, -1, 3, 25, -10, 8, 12, 2, 12],\n [1, -8, 28,... | 78 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-3, 0, 12, -21, -2, 14, 8, 9, -12, -10],\n [0, -19, 0, 7, -6, -18, -10, -22, 0, -6],\n [12, 0, 16, -13, -22, 3, -28, 2, -21, 25],\n [-21, 7, -13, -13, 12, -10, -6, -13, -20, -10],\n [-2, -6, -22, 12, -5, -4, 8, -10, -8, ... | 66 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-28, -6, 11, -15, 2, 6, -16, 18, 13, 26],\n [-6, 5, -11, -6, -10, -6, 8, 2, -12, -19],\n [11, -11, 26, -4, -14, -2, 3, -18, 8, 2],\n [-15, -6, -4, -19, 20, -10, 15, -6, -9, -2],\n [2, -10, -14, 20, 21, 4,... | 70 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[0, -1, 4, -6, 16, -27, 18, 12, 7, -14],\n [0, -30, -13, 15, -12, 30, 19, 25, 1, 23],\n [0, 0, -9, -30, 10, 15, 4, 13, 18, -14],\n [0, 0, 0, -30, 24, -4, -19, -27, 24, -15],\n [0, 0, 0, 0, -5, -3, 11,... | 170 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-1, -13, 8, -10, -4, -6, -3, 16, 24, 3],\n [-13, 29, 11, -6, 3, -24, 10, 7, -7, -22],\n [8, 11, -17, 28, 8, 0, 12, -18, 17, -2],\n [-10, -6, 28, -18, 16, 4, 13, 14, 4, 24],\n [-4, 3, 8, 16, -22, 18, -14, ... | 78 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-21, -9, -8, 20, -12, 0, -1, -14, -22, 3],\n [-9, -16, -5, -4, -22, 18, -2, 14, -6, -4],\n [-8, -5, -27, 18, 2, 18, -11, 4, -26, -12],\n [20, -4, 18, 4, -4, 4, 2, -10, 0, 1],\n [-12, -22, 2, -4, 1, 10, -11, 10, 3, -16],\n [0, 18,... | 71 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-20, 19, -22, 7, -8, -18, -26, -6, -21, -26],\n [0, 11, -6, 6, -11, -3, -10, -20, -2, -26],\n [0, 0, 22, -26, 2, 14, 5, -23, 21, 24],\n [0, 0, 0, 22, 17, -22, 30, 25, -26, -5],\n [0, 0, 0, 0, 8, 4, -21, -4, -15, -10],\n [0, 0, 0... | 30 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[10, 19, 8, 29, 5, -8, -23, -3, 19, -2],\n [0, 8, -23, -3, 2, -20, 11, 6, -6, 3],\n [0, 0, 20, -15, -20, -17, 1, -9, -26, 5],\n [0, 0, 0, 11, -8, 29, -22, -13, 0, 6],\n [0, 0, 0, 0, -10, -30, 1, -17, 28, 15],\n [0, 0, 0, 0, 0, 25,... | 25 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[17, 15, 2, -22, 16, 4, -14, 3, 6, -19],\n [15, -29, 17, -28, -8, -7, 2, 2, 8, -2],\n [2, 17, 29, 4, 6, 20, 22, -2, 22, -20],\n [-22, -28, 4, -21, 15, -10, 0, 18, 10, 0],\n [16, -8, 6, 15, -21, 12, -10, -18, -16, 0],\n [4, -7, 20... | 74 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[12, 7, -4, 11, 7, 14, 16, -16, -4, -4],\n [7, 7, 2, -14, -2, -29, 12, -16, -8, -26],\n [-4, 2, 15, 14, 9, -18, 14, -4, 8, -27],\n [11, -14, 14, 13, -2, 0, 4, -4, 3, -3],\n [7, -2, 9, -2, 12, 0, 6, -4, -16, 21],\n [14, -2... | 72 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-28, 5, 4, -10, 21, 0, 8, 8, 19, -2],\n [5, 10, -5, -25, 6, 16, -13, -8, 10, 13],\n [4, -5, 0, -2, -25, 4, 19, 25, 20, -26],\n [-10, -25, -2, -22, -20, 2, 11, -14, 5, -18],\n [21, 6, -25, -20, 16, -21, -2, 11, -13, ... | 377 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[29, -6, 10, 12, 4, -18, 13, 15, 9, -16],\n [-6, 7, -13, -4, 7, 8, -1, 8, 7, -2],\n [10, -13, -27, 8, -5, 20, -20, 0, -8, 26],\n [12, -4, 8, 2, -5, 0, -16, 10, -4, -2],\n [4, 7, -5, -5, 15, 3, 4, 2, 14, -4],\n [-18, 8, 20, 0... | 297 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[2, -20, 1, -23, 1, -10, -6, 26, -11, -30],\n [0, -24, 26, 27, -6, -22, -9, -29, 22, -12],\n [0, 0, 28, -26, 14, -21, 28, -30, -5, -5],\n [0, 0, 0, -10, 15, -19, 7, -17, 18, 1],\n [0, 0, 0, 0, 24, -21, 4, -15, -25, -27],\n [0, 0, ... | 30 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-10, -17, -26, -10, 2, 14, 10, 6, 22, -20],\n [-17, 14, 8, 20, -10, -8, -3, -8, 15, 4],\n [-26, 8, -14, -2, 1, -6, -14, -10, 5, -2],\n [-10, 20, -2, 28, -22, -2, -10, 2, 5, -13],\n [2, -10, 1, -22, 4... | 323 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[23, -29, 14, 24, -30, 7, -25, 17, 13, -16],\n [0, -29, -1, -2, -19, 21, 3, -1, 5, 4],\n [0, 0, -28, 11, -19, -27, 24, 21, 28, -24],\n [0, 0, 0, -28, -4, -16, -23, -13, -2, 15],\n [0, 0, 0, 0, -22, -21, 9, -11, -29, 27],\n [0, 0, ... | 29 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[9, -26, -8, -26, -1, 1, -7, 18, 20, 20],\n [0, 11, 4, 1, 23, 26, 14, 17, 13, -9],\n [0, 0, 18, 3, -15, -20, 2, 13, 7, -12],\n [0, 0, 0, 23, 22, -28, -13, -13, -19, -13],\n [0, 0, 0, 0, 29, -12, 25, -... | 167 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[19, 1, 8, -10, -24, -22, -22, -28, -21, -8],\n [1, 12, -2, -20, 5, 18, 14, -7, -4, -12],\n [8, -2, 14, -4, -4, 12, 3, -2, 6, -12],\n [-10, -20, -4, -23, 10, -12, -6, -26, -3, 0],\n [-24, 5, -4, 10, -14, 8, -10, 23, ... | 329 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-16, -9, -11, -2, -6, 12, 25, -7, 3, 12],\n [0, 17, -29, 20, -15, 9, -10, 21, 6, -23],\n [0, 0, 15, 24, -9, -13, 27, -26, 11, 16],\n [0, 0, 0, -22, 26, 0, 0, 10, 20, 26],\n [0, 0, 0, 0, 24, 11, -5, -21, -25, 22],\n [0, 0, 0,... | 158 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[24, -19, 4, -22, -8, 16, 14, 21, -1, 4],\n [-19, -15, -9, -14, -4, -5, -8, -2, 6, -22],\n [4, -9, 28, -7, 16, -10, 7, 2, 6, 3],\n [-22, -14, -7, 14, -2, 6, 18, -14, 8, 22],\n [-8, -4, 16, -2, -11, 1, 14, 6, 15, 4],\n [16, -5... | 312 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-26, 10, -16, 2, 25, -6, 2, -17, 22, -10],\n [10, -17, -14, -6, 1, -5, -16, 8, 22, -1],\n [-16, -14, 29, 14, -12, -12, -10, 11, -8, -4],\n [2, -6, 14, -13, -8, 0, 0, -4, 19, 14],\n [25, 1, -12, -8, 2, 18, 7, 19, 4, 10],\n [... | 355 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-10, -2, -4, -8, 4, 8, -22, 4, 18, -5],\n [-2, -13, 2, -5, 8, -4, -2, -7, 4, -4],\n [-4, 2, -9, -14, 24, 20, 9, 22, -12, -8],\n [-8, -5, -14, -8, 12, 2, -2, -21, 22, -1],\n [4, 8, 24, 12, -1, 14, 17, 11, -4, 8],\n [8, -4, 2... | 315 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[13, 15, 2, 0, 6, 14, -2, -16, -12, -8],\n [15, 19, -3, -22, 2, -6, 20, 25, 0, -16],\n [2, -3, -17, -2, 4, -4, 8, -26, 9, 17],\n [0, -22, -2, 0, -24, 6, -5, -28, 6, -1],\n [6, 2, 4, -24, 7, 14, 8, -28, 26, 14],\n [14, -6, -4, 6, 1... | 71 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-7, 4, 2, -14, -8, 19, -19, 0, 12, 0],\n [4, 23, -2, -8, -22, -3, 14, -8, -18, -10],\n [2, -2, -3, -20, 24, -12, -26, 6, 2, -6],\n [-14, -8, -20, -18, -3, 6, -6, -24, 20, 2],\n [-8, -22, 24, -3, 23, -6, 0, -8, 12, -14],\n [19, -3... | 68 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[17, 22, 4, -22, 4, 5, 3, -2, 0, -6],\n [22, -26, 3, 14, 13, -12, 8, 1, 12, -17],\n [4, 3, -22, -7, 15, -3, 6, 2, 20, -12],\n [-22, 14, -7, 14, 2, -5, 0, -17, 7, -3],\n [4, 13, 15, 2, -24, -16, -14, 10, -18, 2],\n [5, -12, -... | 354 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-9, -21, 16, 18, -4, -6, 0, -13, 5, 0],\n [-21, -9, 15, 3, 10, -2, 0, 15, -21, -13],\n [16, 15, 1, -12, -8, 18, -2, 8, -6, -2],\n [18, 3, -12, -28, -9, -10, 6, 22, 2, 2],\n [-4, 10, -8, -9, 2, 10, 0, 16, 5, 1],\n [-6, -2, 18, -10... | 83 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[14, 16, -20, -4, 2, -24, 2, 5, -3, -6],\n [16, 9, 4, 13, -8, -20, -20, 12, 1, 12],\n [-20, 4, -21, -22, 14, -9, 21, -4, 14, -6],\n [-4, 13, -22, -21, 14, 20, -22, -10, -14, 22],\n [2, -8, 14, 14, -27, 22, -6, 18, -20, -8],\n [-2... | 72 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-26, 12, -2, 4, 0, -9, 2, -10, 14, 7],\n [12, 16, 6, -20, -5, 8, 16, 11, 9, -24],\n [-2, 6, 19, -10, 9, 26, -5, -28, 10, -24],\n [4, -20, -10, 2, 4, 4, 4, -8, -12, -24],\n [0, -5, 9, 4, 18, -22, -16, 2, 24, -2],\n [-9, 8, 26... | 382 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[27, 26, -24, -8, -12, -12, 27, 17, -12, 18],\n [0, 29, 9, -3, -20, 19, -20, 24, -22, -17],\n [0, 0, 18, -10, 17, 27, -26, 2, -22, -28],\n [0, 0, 0, -8, -17, 29, -15, 6, -11, -11],\n [0, 0, 0, 0, -19, 14, ... | 30 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[20, -12, 18, 2, 16, 12, -6, 14, 6, 0],\n [-12, 25, -18, 5, 20, 23, -5, -8, 2, -10],\n [18, -18, -11, -24, 19, 0, 7, -17, -22, 12],\n [2, 5, -24, -10, -15, -12, -18, 0, 14, -8],\n [16, 20, 19, -15, -12, -12, 25, -26, -3, -6],\n [1... | 68 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[22, 10, -4, 14, -22, 9, -12, 16, -26, -11],\n [10, -16, -2, -20, 17, 7, -22, -4, -14, -14],\n [-4, -2, -13, -8, 4, 9, -14, 19, -12, 14],\n [14, -20, -8, 28, 2, -2, -10, -4, 18, -16],\n [-22, 17, 4, 2, -3, -19, 4, -8... | 375 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[1, 23, 6, -10, -22, 2, 4, -15, 21, -6],\n [23, 14, -18, 2, 8, 8, 24, 18, -2, -17],\n [6, -18, 6, 8, -16, 10, 4, -4, 17, 22],\n [-10, 2, 8, 9, 2, 8, 22, -16, 15, 6],\n [-22, 8, -16, 2, 19, -4, 6, 12, -18, -12],\n [2, 8, 10, 8, -4... | 74 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[23, -22, -25, -30, -9, 20, -27, 14, 21, 26],\n [0, 24, 6, 11, 28, 21, 30, -12, 13, -30],\n [0, 0, 17, -14, 1, 19, -17, -14, 1, 2],\n [0, 0, 0, 16, 20, 3, -3, -7, 25, -17],\n [0, 0, 0, 0, -30, -9, 2, 13, 23, 16],\n [0, 0, 0, 0, 0,... | 30 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[21, 24, -4, 14, -28, -13, 14, -2, -4, -12],\n [24, 24, -11, 12, 18, 22, -2, -9, 2, -5],\n [-4, -11, 24, 10, 14, 6, -16, 8, 14, 8],\n [14, 12, 10, 27, 17, 4, -23, 10, -6, -8],\n [-28, 18, 14, 17, -6, 14, 10, 4, -24, 0],\n [-13, 22... | 68 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[8, -8, 24, 12, -26, -4, 3, -8, -14, -12],\n [-8, -14, 0, 4, 2, 4, 1, -8, 22, 16],\n [24, 0, 17, -11, 12, 22, -4, 23, -6, -14],\n [12, 4, -11, 29, 3, -7, 6, 6, 17, 10],\n [-26, 2, 12, 3, 13, 0, 8, -8, 2, -1],\n [-4, ... | 359 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[27, 18, 20, 10, 6, 8, 0, 29, 12, 4],\n [18, 12, -2, 20, -16, 1, 12, 4, -4, -6],\n [20, -2, 28, 8, 6, 18, 4, -4, 18, 4],\n [10, 20, 8, -7, -7, 10, 0, -16, 6, 18],\n [6, -16, 6, -7, 4, -11, 4, -1, 0, -18],\n [8, 1, 18... | 321 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[25, -26, -2, 12, 13, 12, 16, -19, -17, -26],\n [-26, 27, -14, -10, -8, -12, -12, 8, 22, -11],\n [-2, -14, -1, -21, 20, 18, -1, 2, -13, -3],\n [12, -10, -21, -21, 6, -18, 4, 7, -10, -6],\n [13, -8, 20, 6, 3, 8, -30, ... | 392 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-19, 17, -20, 23, -14, -21, 24, 17, -15, -16],\n [0, -16, 24, -11, -27, 1, 28, -9, 4, -17],\n [0, 0, -21, -25, -4, -20, 5, -21, -15, -7],\n [0, 0, 0, 10, 5, 18, 11, 24, 14, -8],\n [0, 0, 0, 0, 20, -14, 24, -10, 29, -27],\n [... | 147 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[3, 4, 14, 6, 7, -24, -2, -6, -20, -10],\n [4, -7, 3, 6, 0, -6, -10, 12, 2, 6],\n [14, 3, -24, 2, 3, 6, 10, -18, -28, 0],\n [6, 6, 2, -12, -9, 16, 10, -23, -12, 3],\n [7, 0, 3, -9, -8, -24, 0, -14, -11, -4],\n [-24, ... | 302 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-9, -10, -6, 6, 10, 16, 8, -8, 1, -4],\n [-10, 21, 14, -18, -14, -11, -5, 3, 10, -26],\n [-6, 14, 11, 24, 8, -7, -4, -4, 10, 16],\n [6, -18, 24, 4, -8, 0, 13, 4, -15, -8],\n [10, -14, 8, -8, -21, -2, -4, -18, 4, -12... | 334 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-13, 3, -19, 18, -10, -6, 18, 8, 20, 4],\n [3, 30, -9, 4, -1, -1, 8, 2, -6, 4],\n [-19, -9, -7, -3, -2, 0, 3, 4, -4, 1],\n [18, 4, -3, -20, -2, 4, 21, 4, -9, 22],\n [-10, -1, -2, -2, -18, -23, 20, -16, 0, 0],\n [-6, -1, 0, 4, -2... | 76 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-12, 24, 3, 10, 10, -24, 26, -15, 28, 7],\n [0, 27, -18, 3, 15, 6, 12, 16, -25, 29],\n [0, 0, 28, 21, 30, -27, -26, -25, 29, -18],\n [0, 0, 0, -18, 11, 18, 25, -13, 28, -24],\n [0, 0, 0, 0, -10, 17, 11, -... | 28 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-7, 16, -10, 4, -5, 4, 13, 18, 24, -11],\n [16, -27, 6, 2, 3, 10, 4, -9, -6, 2],\n [-10, 6, -24, -3, 6, -10, 12, 4, 2, 13],\n [4, 2, -3, -10, 0, -3, -24, -5, -5, 1],\n [-5, 3, 6, 0, -2, -8, -20, -24, -2, -12],\n [4,... | 336 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[23, 2, 16, -6, 11, 0, -16, 2, -7, 17],\n [2, -27, 15, 12, -5, -22, -3, 23, 18, -12],\n [16, 15, -1, -4, 0, 9, 26, 2, 2, 12],\n [-6, 12, -4, -11, 3, -5, -12, -6, 20, -4],\n [11, -5, 0, 3, 25, 12, 16, 16, 0, -21],\n [0, -2... | 65 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[26, -3, 19, -10, -1, -6, -9, 8, 24, 6],\n [-3, 19, 20, -4, 21, 3, 2, -14, 0, 5],\n [19, 20, -8, 13, -22, -12, -12, 7, 2, 4],\n [-10, -4, 13, 29, -4, 22, -2, 16, 12, 24],\n [-1, 21, -22, -4, -9, -6, -11, 0, -12, 22],\n [-6, ... | 357 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[17, 12, -18, -6, 4, 14, 3, -8, 18, -8],\n [12, -9, 2, 2, -26, 2, 4, 3, 7, 5],\n [-18, 2, 28, 18, 0, -8, -3, 11, 8, -8],\n [-6, 2, 18, -28, -18, -24, 6, -10, -1, -22],\n [4, -26, 0, -18, 3, 12, 13, -16, -6, -26],\n [... | 346 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-4, 4, 12, -15, 0, 13, 4, -4, 6, 3],\n [4, 4, -28, -2, -10, -21, -16, -10, 4, -19],\n [12, -28, -25, -6, -9, -14, -14, 9, 0, 10],\n [-15, -2, -6, 18, 6, 0, 5, 13, 24, -15],\n [0, -10, -9, 6, -29, -10, 12, -16, 25, 8],\n [13,... | 355 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-27, -19, -7, -6, 18, 8, -1, -26, 0, -6],\n [-19, 23, 1, 8, -15, 10, -7, 6, 0, 6],\n [-7, 1, -10, 21, -10, 5, -18, -2, -6, -11],\n [-6, 8, 21, -13, 4, -20, 8, 0, -10, 3],\n [18, -15, -10, 4, 8, 9, -18, 24, -20, 20],\n [8, 1... | 335 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[6, 26, -22, 4, 8, 14, -5, -4, -10, 14],\n [26, -8, -4, -4, -8, -14, -12, 19, -4, -2],\n [-22, -4, -5, 2, -13, -4, 4, -10, 2, -20],\n [4, -4, 2, -18, -19, -27, -16, 20, 6, 10],\n [8, -8, -13, -19, 11, 4, 2, 20, 18, 15],\n [1... | 360 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-6, -3, -19, -8, -14, 27, 27, 10, 6, -13],\n [0, -22, 14, 4, 5, 26, -13, -11, -10, 16],\n [0, 0, -25, -22, 12, -2, -2, -18, 5, -4],\n [0, 0, 0, 13, -25, 8, 26, 1, 18, 12],\n [0, 0, 0, 0, 19, 23, 20, 12, 0... | 25 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-8, -15, 4, 2, -14, 7, -5, -18, -14, -27],\n [-15, -17, 27, 0, -5, -22, 8, -10, -2, 2],\n [4, 27, 17, -10, -8, -9, -3, -2, -10, 8],\n [2, 0, -10, -1, -24, -7, -18, -4, 2, -16],\n [-14, -5, -8, -24, 30, 26... | 73 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[26, 26, -16, 0, -10, 12, 0, 6, 2, 0],\n [26, -5, 4, -10, 4, -2, 0, -10, -7, -4],\n [-16, 4, -15, -18, -16, 19, -4, -16, 14, 16],\n [0, -10, -18, 19, -15, 2, 24, 10, -15, -8],\n [-10, 4, -16, -15, -30, 26, -6, 4, -20, -15],\n [12... | 76 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[8, -2, 22, -6, 22, 24, -2, 8, -4, 0],\n [-2, 5, 17, -5, -5, 8, 6, 18, 14, -9],\n [22, 17, 15, 2, -20, -4, -14, 16, 6, 12],\n [-6, -5, 2, 7, 15, 2, 30, -6, 14, 6],\n [22, -5, -20, 15, 30, 20, -9, 17, -8, -... | 72 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-20, -6, -12, 14, 22, 11, 16, -18, 15, -3],\n [-6, 16, -28, 25, -12, -2, 10, -11, -12, -16],\n [-12, -28, 28, -2, 0, 14, 19, -12, 0, -14],\n [14, 25, -2, 23, 0, 20, 3, -14, -22, -12],\n [22, -12, 0, 0, -24, -18, -10... | 425 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-18, -10, -14, 13, 0, 17, 17, 5, 4, -6],\n [-10, 19, 14, -20, -16, -16, 0, -20, -16, -9],\n [-14, 14, 9, -26, 19, 0, 8, 2, 4, 0],\n [13, -20, -26, 14, 4, 6, -6, -15, 16, -10],\n [0, -16, 19, 4, -22, 17, 4, 4, 1, -16],\n [17,... | 357 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-14, -24, 2, 19, 5, -6, 10, 20, 16, 0],\n [-24, -13, 4, -4, -3, 10, -8, -10, 0, 12],\n [2, 4, 13, -6, -3, 17, 21, 22, -18, 18],\n [19, -4, -6, 6, 11, 8, -1, 8, 2, -26],\n [5, -3, -3, 11, 17, 5, 8, 11, -4, -9],\n [-6, 10, 17, 8, 5... | 69 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-9, -12, -20, 2, 15, -10, -13, -13, 14, 14],\n [-12, -23, 16, -2, -24, -3, -15, -9, -12, -8],\n [-20, 16, 28, -4, 7, -8, 18, -12, -13, 24],\n [2, -2, -4, 9, -18, 0, 18, 26, -18, 6],\n [15, -24, 7, -18, -21, -16, 11, -11,... | 70 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[16, -11, -7, -15, -18, -3, -24, -16, -8, -8],\n [0, 0, -26, -4, 13, 29, -21, 20, 11, 30],\n [0, 0, 1, -8, 23, 16, -22, -2, -4, 7],\n [0, 0, 0, -5, -11, 30, -16, 14, 7, -11],\n [0, 0, 0, 0, -15, -30, ... | 85 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[26, -22, 26, 9, 12, 26, -7, 30, 15, -23],\n [0, -7, 22, -21, 4, -27, 26, 24, 13, -22],\n [0, 0, 17, -18, -4, -1, 15, 8, -19, 25],\n [0, 0, 0, -27, 23, 18, 3, -8, 23, 14],\n [0, 0, 0, 0, -13, 11, -27, 22, -23, -9],\n [0, 0, ... | 179 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-4, 0, -16, -28, 6, 10, 10, -1, -26, 13],\n [0, -3, -13, -6, -5, -18, 2, 13, 14, 22],\n [-16, -13, 19, 10, -6, 14, 6, -6, 0, 14],\n [-28, -6, 10, 14, 4, -10, 18, 1, 15, 0],\n [6, -5, -6, 4, -16, 4, -4, 0, -12, 4],\n [10, -18, 14... | 79 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[25, 24, 2, -21, -28, -20, 2, 4, -8, -4],\n [24, 19, -12, -20, -6, -10, 11, -14, -6, -8],\n [2, -12, -28, 4, -1, -2, 16, -7, -10, 8],\n [-21, -20, 4, 30, -10, -18, -22, 19, 10, -16],\n [-28, -6, -1, -10, 25, -18, 14, -5, ... | 84 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-7, 4, -13, -4, 20, 12, 16, -8, -7, 16],\n [4, 21, 20, -8, 5, -14, 1, -10, -17, -2],\n [-13, 20, -7, -10, 18, -3, 4, -18, -4, -2],\n [-4, -8, -10, -3, 8, -20, 7, 15, -6, -20],\n [20, 5, 18, 8, -11, 10, 0, 4, -6, 4],\n [12, -... | 324 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-7, -2, 4, 4, 14, 0, -6, -24, 16, -4],\n [-2, -13, -4, 6, 2, 9, -22, -15, 2, -5],\n [4, -4, 18, -6, -10, -4, -16, 26, 2, -4],\n [4, 6, -6, 14, 2, -13, -20, 22, -10, -3],\n [14, 2, -10, 2, 16, -12, -2, 10, 12, -6],\n [0, 9, -... | 334 | MATH |
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