messages list | ground_truth string | dataset string |
|---|---|---|
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-11, 23, -3, 9, 2, -5, -2, 6, 8, 19],\n [23, 26, 10, 7, 16, 6, -16, -7, 4, -3],\n [-3, 10, -22, 5, 12, 11, -4, -10, -2, 0],\n [9, 7, 5, 2, 10, 6, 2, -16, 8, 6],\n [2, 16, 12, 10, 28, 6, 5, -14, 3, -2],\n ... | 84 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[13, 18, -12, 29, -8, -17, 30, -14, -16, -10],\n [0, -1, -12, 1, -2, -9, -11, 7, 7, 5],\n [0, 0, 12, -5, -24, 3, 5, -25, 6, -9],\n [0, 0, 0, 29, -2, 19, 21, -14, 29, -18],\n [0, 0, 0, 0, -21, 30, -6, -13, 18, 13],\n [0, 0, 0... | 166 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-13, 15, 5, 9, 17, 5, -3, -12, -1, 27],\n [0, 20, -16, 13, -19, -29, -22, 4, -30, 15],\n [0, 0, -3, 14, 30, 26, 6, -24, 15, -15],\n [0, 0, 0, -25, 30, -10, -21, 1, -25, -29],\n [0, 0, 0, 0, -17, -8, ... | 171 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-26, -22, -21, 28, 12, 3, -10, -8, 17, 8],\n [-22, -3, 0, 14, -7, -6, 0, -1, 3, 8],\n [-21, 0, 0, 8, -16, 6, 0, 7, -24, -10],\n [28, 14, 8, 7, -14, 2, -10, -20, 0, 0],\n [12, -7, -16, -14, 18, -23, 6, 2, -4, -12],\n... | 367 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[30, -6, -22, 2, -16, -26, -16, -18, 0, 12],\n [-6, -19, -10, 14, 3, -16, -18, -24, 21, 18],\n [-22, -10, -1, -15, -4, -12, -5, -2, -18, -25],\n [2, 14, -15, -29, -6, 5, 15, -6, 12, 10],\n [-16, 3, -4, -6, -20, 2, 5, -1, -14, -1],... | 77 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-19, -7, -5, 15, -16, -8, -22, -18, -14, -13],\n [-7, 1, -14, 0, 12, -16, -17, 8, -8, -8],\n [-5, -14, -12, 24, 3, -9, 3, 2, 22, 25],\n [15, 0, 24, -28, -9, 1, 2, -14, -7, 0],\n [-16, 12, 3, -9, 4, 1... | 363 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[5, -14, -5, -3, 6, -14, 29, 30, 18, -14],\n [0, 25, 3, 26, -8, -1, -4, 20, -22, -11],\n [0, 0, -12, 6, 14, -27, -18, 7, -19, 30],\n [0, 0, 0, -16, 18, 30, -26, -26, -6, -7],\n [0, 0, 0, 0, 3, 10, -17, -4, 16, -27],\n [0, 0, 0, 0... | 26 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[13, -12, 22, -19, 4, 1, 2, 9, -14, 16],\n [-12, -24, 6, 6, 6, 12, 3, 8, 7, -24],\n [22, 6, -22, 22, 4, 12, -28, -6, -13, 6],\n [-19, 6, 22, 29, -28, 14, 9, 16, 2, 2],\n [4, 6, 4, -28, -27, 6, 0, -22, -18, 18],\n [1, 12, 12, ... | 401 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[22, -7, 6, 6, 8, -2, 10, -24, -20, 14],\n [-7, 21, 8, -8, -6, 18, -15, 0, 2, -13],\n [6, 8, 20, -7, -8, 22, -18, 21, 28, 10],\n [6, -8, -7, 15, -15, 20, -8, 2, 23, -6],\n [8, -6, -8, -15, 4, 4, -11, 14, 2, -1],\n [-2, 18... | 88 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-17, -25, -24, 9, -7, 19, 29, -27, 24, 26],\n [0, 28, -28, -3, -8, 5, 26, 24, 17, -18],\n [0, 0, -6, 24, 12, -7, 12, 6, 21, 2],\n [0, 0, 0, 21, 20, 6, 21, 28, 28, -8],\n [0, 0, 0, 0, -2, 28, 29, -17, -14, -1],\n [0, 0, 0... | 28 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-11, 20, -8, -8, 1, 10, 11, 24, 7, -28],\n [0, -23, 7, 26, 9, -17, -23, -20, 11, 27],\n [0, 0, 12, 2, -16, 6, -17, 24, -5, 26],\n [0, 0, 0, 18, -27, 5, -13, -4, 28, -12],\n [0, 0, 0, 0, -22, 25, -25, 7, -3, 17],\n [... | 157 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[16, 22, -22, 2, 0, -17, 17, -11, 6, -2],\n [22, -24, -22, -11, 15, -2, -6, 17, -16, 4],\n [-22, -22, -28, 0, -4, -2, 17, 5, -4, -12],\n [2, -11, 0, 10, 6, 20, -6, -14, 9, 5],\n [0, 15, -4, 6, -16, 12, -17, 22, -3, 4],\n ... | 58 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[5, 29, 22, -9, 29, -22, -9, 10, 19, 15],\n [0, -28, 5, 2, -13, 5, -21, 5, -10, -6],\n [0, 0, 20, -22, 17, -4, 25, 25, 26, -16],\n [0, 0, 0, 29, 22, 13, 24, 19, 8, -15],\n [0, 0, 0, 0, -25, 7, 27, 16, -29, 10],\n [0, 0, 0... | 29 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-16, 4, 13, -12, -3, -3, 4, 14, -4, -4],\n [4, 28, 9, 26, 14, 0, 24, -14, 8, -17],\n [13, 9, 20, 15, -2, -8, -11, -11, 4, 6],\n [-12, 26, 15, 18, -9, -9, 0, 6, -24, -2],\n [-3, 14, -2, -9, -2, -4, -2... | 317 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-14, 14, 12, 6, 19, 10, 3, 19, 14, 6],\n [14, 18, 22, 6, -6, 2, -10, 20, -12, -6],\n [12, 22, -26, 12, -4, 1, -2, 2, -6, 10],\n [6, 6, 12, 25, 1, -2, 2, -10, 19, 5],\n [19, -6, -4, 1, -3, -22, -10, -3, 20, 20],\n [10, 2, 1,... | 334 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-7, -14, 6, 8, 9, 0, -6, 4, 4, -15],\n [-14, -15, -9, -10, 6, 3, 0, -21, 1, 2],\n [6, -9, 5, 12, 12, 12, -5, 12, -16, -8],\n [8, -10, 12, 8, 4, -21, 4, -24, 6, -20],\n [9, 6, 12, 4, 3, 3, 10, 4, -4, -19],... | 63 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-7, 15, -1, 1, 8, -5, 10, 4, 2, 4],\n [15, 11, -5, -24, 0, 2, 4, -26, -2, 17],\n [-1, -5, 5, -4, -3, -5, 4, -9, 1, 0],\n [1, -24, -4, -17, 13, -11, -13, -11, 0, -2],\n [8, 0, -3, 13, 21, -2, 20, -17, 15, 8],\n [-5, 2, -5, -1... | 282 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[6, 0, 6, -1, -14, 6, 0, -17, 9, 7],\n [0, 8, 3, 9, -2, -12, 6, -14, -18, -6],\n [6, 3, -8, -2, -10, 3, 18, 8, 8, -8],\n [-1, 9, -2, 7, -13, -18, -10, 2, -5, 6],\n [-14, -2, -10, -13, -1, 10, -12, 18, 10, -4],\n [6, -12, ... | 64 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-19, -12, -16, 22, -26, -29, 20, -17, -2, 10],\n [0, -30, -18, 18, 29, 1, 3, 25, 23, -17],\n [0, 0, 7, 26, 7, 19, 20, 10, -16, 8],\n [0, 0, 0, -12, 21, -30, -10, 8, -13, -4],\n [0, 0, 0, 0, 11, -25, -5, -15, -1, -12],\n [0,... | 164 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-25, 16, 20, -2, -20, 20, -22, 28, -5, 10],\n [16, -20, 24, -5, 4, -12, 14, 0, -2, 6],\n [20, 24, -23, -15, 9, -4, -3, -10, -2, -25],\n [-2, -5, -15, -29, 2, -18, 22, 5, 2, -6],\n [-20, 4, 9, 2, 2, -4, -14, -2, -14, -8],\n [... | 391 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-1, -4, -12, -1, -3, -13, -6, -7, 8, -4],\n [-4, 16, -12, -3, 10, -10, -8, 26, 11, -14],\n [-12, -12, 5, 5, -14, -2, 0, 10, -16, 5],\n [-1, -3, 5, -4, -10, 0, -16, -8, 16, 8],\n [-3, 10, -14, -10, 15, 20, -22, -20, 12, 12],\... | 335 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-2, 0, 12, 12, 8, -14, 14, -21, -21, -22],\n [0, -12, -17, -25, -2, -4, -14, -16, -2, 1],\n [12, -17, -3, 21, 5, -22, 14, 1, -2, -8],\n [12, -25, 21, -3, -12, 12, 0, 4, -20, -24],\n [8, -2, 5, -12, -27, 7, -20, 8, 6, 22],\n [-14,... | 77 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-12, 26, 20, -13, -18, -14, 28, 2, 22, 29],\n [0, -26, -3, -6, -11, -10, -18, -25, -2, 11],\n [0, 0, -2, 7, -30, 25, -1, 19, 1, 26],\n [0, 0, 0, 27, -21, 13, -10, 25, -5, -16],\n [0, 0, 0, 0, 2, -20, -7, -25, -3, -2],\n [0,... | 139 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-6, 12, -16, 3, 4, 3, -4, 2, -21, -3],\n [12, -1, 21, -3, -20, -20, 16, 18, 6, -2],\n [-16, 21, -15, 13, 7, 2, -18, 8, 3, 15],\n [3, -3, 13, 20, 12, -2, -5, -16, 0, -16],\n [4, -20, 7, 12, 10, 2, 22,... | 340 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[11, 12, -8, -6, 5, 6, -4, -7, 10, -4],\n [12, 2, -6, -6, -20, 20, -7, 14, -14, -29],\n [-8, -6, 19, -11, -8, -18, 4, 3, 21, 16],\n [-6, -6, -11, 0, 20, 20, -6, 2, 18, 9],\n [5, -20, -8, 20, -11, -1, -26, -24, 12, 4],\n [6, 2... | 354 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[15, 22, 15, 8, -19, 27, -9, 23, -25, 14],\n [0, -8, 22, 27, 3, 11, 7, -15, -21, 16],\n [0, 0, -21, -20, -10, -6, 29, 30, 3, 23],\n [0, 0, 0, 29, 11, 30, 1, 22, 13, -20],\n [0, 0, 0, 0, 5, 6, 25, 29, 2, 2],\n [0, 0, ... | 178 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-12, 29, 3, 28, 5, -27, -21, -14, 25, -15],\n [0, -3, -23, -2, -25, -1, -29, 24, 27, 16],\n [0, 0, -8, 12, -10, -15, -27, 12, 15, -23],\n [0, 0, 0, 24, -4, 20, 26, 5, 29, 5],\n [0, 0, 0, 0, -29, 10, -15, ... | 29 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[18, -6, -7, -16, -25, -6, -12, -2, -1, 14],\n [-6, -15, 1, -25, 12, 7, 1, -20, 0, 8],\n [-7, 1, 24, -9, -13, 4, -12, -24, -1, 8],\n [-16, -25, -9, -14, 12, -3, 10, -4, -10, -2],\n [-25, 12, -13, 12, -20, 14, 2, 2, 4, -7]... | 74 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[2, 29, -14, -25, -18, -10, 0, 27, 25, -10],\n [0, -3, 25, -25, -23, -18, 3, 27, 9, -9],\n [0, 0, -30, -21, 29, -26, 24, -11, -18, 27],\n [0, 0, 0, 3, 3, -1, 6, -27, 3, 1],\n [0, 0, 0, 0, -22, 10, -7, -6, 5, -23],\n [0, 0, 0,... | 135 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-11, 1, -26, 3, 8, 4, -13, 8, 6, 13],\n [1, -20, 27, -17, -1, -10, 2, -18, 15, -16],\n [-26, 27, -18, 13, -2, 0, -5, 10, -11, 2],\n [3, -17, 13, -18, 16, -14, -9, 2, -4, -4],\n [8, -1, -2, 16, -24, -8, -2, 16, 18, 6],\n [4, -10, ... | 74 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[26, -9, 23, -10, -17, 10, 10, -2, -14, -16],\n [-9, 9, -5, -18, 8, 15, 26, 14, -6, -7],\n [23, -5, 2, -3, -4, -16, 8, -16, 10, 23],\n [-10, -18, -3, -3, -8, -4, 1, 9, -2, 6],\n [-17, 8, -4, -8, -29, 4, 16, -14, 23, 2],\n... | 68 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[10, 18, -11, 13, -7, 3, 21, 17, -8, 24],\n [0, 24, 7, -29, 10, -26, -13, 23, 27, 22],\n [0, 0, -21, 11, 24, 11, 30, 19, -15, -8],\n [0, 0, 0, 29, 5, -11, -15, -3, 23, 26],\n [0, 0, 0, 0, -30, -26, 18... | 177 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[21, -6, -6, 2, 14, -14, -25, -12, -4, 6],\n [-6, 18, 26, 6, 20, 16, -27, 0, -4, 12],\n [-6, 26, -5, -4, -18, 8, -2, -23, 20, 24],\n [2, 6, -4, -7, -13, -9, -6, -6, -24, 14],\n [14, 20, -18, -13, 2, -2, -4, -2, 8, -3... | 370 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[5, 5, 19, -7, -4, -13, 19, 16, 19, -16],\n [0, -2, -26, -20, -15, 21, 3, -14, 2, 19],\n [0, 0, 0, -13, 20, -6, -26, -1, 14, 25],\n [0, 0, 0, -13, 1, -1, -2, 5, -22, -8],\n [0, 0, 0, 0, 9, 14, 25, 27, 0, -9],\n [0, 0, 0, 0, 0, -1... | 26 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[15, 12, -18, -4, -18, -4, -8, 2, 8, 0],\n [12, 26, -15, 12, -5, -10, -10, 20, -20, 24],\n [-18, -15, -12, -8, -26, -11, 4, 17, 2, -14],\n [-4, 12, -8, -12, 4, 0, 14, -23, -2, 3],\n [-18, -5, -26, 4, 14, -14, -16, -2... | 356 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[3, -6, -22, 17, -14, -6, 4, -22, 0, 8],\n [-6, 13, -13, -15, -8, 3, -6, -10, -4, 2],\n [-22, -13, -21, 4, -6, -2, 12, -18, 13, -12],\n [17, -15, 4, 23, 6, 8, 0, -5, 3, 8],\n [-14, -8, -6, 6, 5, 4, -14, 28, -2, -12],\n [-6, ... | 322 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-6, 15, 2, 11, 7, 4, 14, -4, 26, 14],\n [15, 24, 2, -10, 29, -23, -14, -6, 0, 6],\n [2, 2, -6, -28, 2, 13, 18, 20, 8, 23],\n [11, -10, -28, -8, 17, -12, 28, 18, 10, -11],\n [7, 29, 2, 17, -29, 16, -1... | 404 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[5, -14, -15, 6, 9, -10, -20, -6, -5, 18],\n [-14, 21, -21, 0, 18, -10, -24, -8, 23, -18],\n [-15, -21, 7, -14, 12, 4, -23, -20, -8, 26],\n [6, 0, -14, -27, 18, 4, 16, -14, -4, 16],\n [9, 18, 12, 18, 2, -16, -12, 10, 18, -6],\n [... | 82 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[11, 19, -29, 14, 1, 16, -3, 25, -27, -24],\n [0, -6, 17, 27, -22, -8, -8, 18, -5, 9],\n [0, 0, -4, 14, -29, -30, 17, -15, 12, -7],\n [0, 0, 0, -25, -5, -2, 12, 27, -30, -22],\n [0, 0, 0, 0, -28, 30, -22, -29, 29, -21],\n [0,... | 162 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[3, 0, 14, 26, -23, -6, 10, -18, -13, 19],\n [0, 3, 5, 19, -14, -19, -15, -18, -20, -17],\n [0, 0, -3, 28, 22, 20, -7, 22, -14, -22],\n [0, 0, 0, -28, 23, -23, -13, 28, -1, -28],\n [0, 0, 0, 0, -3, 6, -6, -1, -24, 15],\n [0,... | 109 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-5, -24, 10, 20, 15, 18, 21, -11, 12, -9],\n [0, -19, 30, -10, -22, -2, -4, -14, 9, -7],\n [0, 0, 30, 13, -2, -12, -21, -7, 3, 25],\n [0, 0, 0, 15, 20, -27, 10, 14, 0, -22],\n [0, 0, 0, 0, -5, 23, -30, 9, 30, -22],\n [0,... | 30 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[29, 4, -1, -20, 7, -4, 25, -10, -17, 18],\n [0, -2, -7, 5, 10, 14, 1, -25, -21, -11],\n [0, 0, -10, 14, -8, 15, -19, 24, -18, -21],\n [0, 0, 0, 30, -6, -29, 9, -5, 9, 20],\n [0, 0, 0, 0, -22, 8, -11, 21, 20, -20],\n [0, 0, ... | 210 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[15, 16, -9, -14, -15, 22, 18, -6, 26, -14],\n [16, 29, -8, -28, -4, 14, -18, 5, -18, 2],\n [-9, -8, -21, -18, -16, 1, -18, -19, 13, -14],\n [-14, -28, -18, -23, 10, 6, 16, -12, 0, 20],\n [-15, -4, -16, 10, 13, 16, -... | 400 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[17, 2, -16, 6, -25, 28, -6, 22, -14, 12],\n [0, 5, 19, 21, 15, 24, -22, -3, 4, -28],\n [0, 0, -8, 23, -1, 6, 5, 13, 25, -19],\n [0, 0, 0, 3, -27, -7, 5, 27, -3, 8],\n [0, 0, 0, 0, -18, 5, -22, 8, -1, 26],\n [0, 0, 0... | 158 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-9, -6, -16, 10, -2, -16, 22, -2, 9, 8],\n [-6, -20, -13, -4, -12, 4, -2, -8, 16, 25],\n [-16, -13, -20, -27, 0, -2, -6, 17, -2, -10],\n [10, -4, -27, -4, -17, -21, 16, -5, -2, -26],\n [-2, -12, 0, -17, 20, -28, 28, -12,... | 81 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[5, -21, -6, -3, 14, 4, 2, -12, 2, 22],\n [-21, 28, 14, 22, -13, 0, -1, -26, 0, 0],\n [-6, 14, -2, -8, -26, 21, -18, -23, -15, -11],\n [-3, 22, -8, -28, 2, 20, 8, 27, -18, -13],\n [14, -13, -26, 2, 27, 17, 1, 3, 2, 4],\n [4, 0, 21... | 80 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-19, 19, 28, 9, -19, 5, 9, -2, -29, -2],\n [0, 5, 13, -6, -10, -9, -21, 0, 16, 29],\n [0, 0, 8, 28, 3, 8, 10, 19, -8, -19],\n [0, 0, 0, -9, 25, -15, 27, -23, -1, 20],\n [0, 0, 0, 0, 9, 28, 11, 22, 22... | 152 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[22, 15, -13, 11, -28, -25, 30, -9, 24, 23],\n [0, 15, 22, 0, -10, 25, -23, -30, -28, -2],\n [0, 0, 2, -13, 11, 24, 18, 27, 22, -30],\n [0, 0, 0, -23, -2, 13, 20, 15, -12, 28],\n [0, 0, 0, 0, 6, -9, -12, -27, -26, -2... | 174 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[6, 6, -15, -27, 1, -11, -2, 0, 14, -14],\n [0, -6, 14, -15, -11, 11, -21, 21, 29, 17],\n [0, 0, 2, 12, -18, -6, 19, 6, 5, -7],\n [0, 0, 0, 3, -27, -17, -27, -3, -2, -13],\n [0, 0, 0, 0, 1, -23, 12, 15, 18... | 21 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[20, 22, 26, -1, 3, -6, 4, -2, -19, -8],\n [0, 15, -14, -15, 18, 25, -22, -28, -9, 0],\n [0, 0, 7, -8, -10, 20, -7, 1, 14, -26],\n [0, 0, 0, 26, -12, 3, -28, 8, -3, -20],\n [0, 0, 0, 0, 15, 14, 8, -4, 22, -22],\n [0, 0, 0, 0... | 140 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-15, -12, 16, -6, -1, 17, -25, -4, -16, 0],\n [0, -9, -19, -21, -10, 16, 24, 28, 0, 5],\n [0, 0, -12, -8, 15, -21, 18, 23, 30, 28],\n [0, 0, 0, -29, -20, -23, -12, 26, -15, -27],\n [0, 0, 0, 0, 27, -5, 4, 5, 22, 14],\n [0, ... | 194 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-6, 3, 28, 10, -30, 24, 0, 7, -9, -29],\n [0, -30, 27, 25, -7, 19, 5, 30, 14, 5],\n [0, 0, 28, -22, -19, 15, -11, -27, -16, -27],\n [0, 0, 0, 13, 9, 5, 4, 28, -30, -13],\n [0, 0, 0, 0, 18, -25, -25, 11, -... | 30 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[4, 0, 22, 26, -12, -5, 23, 5, -27, 17],\n [0, 30, 0, 27, 27, -18, 22, 12, 8, 28],\n [0, 0, 9, 13, -18, 26, 10, -22, -29, 4],\n [0, 0, 0, -27, 28, -17, -10, 10, -23, 2],\n [0, 0, 0, 0, -12, 28, -25, 5, -11, -30],\n [0, 0, 0, 0, 0... | 30 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[3, 12, -4, 5, -1, 22, 10, 12, 4, -16],\n [12, -5, 14, 12, -12, 2, -20, 7, 6, 2],\n [-4, 14, 28, -8, -10, -18, 12, 6, -4, -7],\n [5, 12, -8, 26, -12, 10, -23, 7, 4, 10],\n [-1, -12, -10, -12, -15, -4, -16, 2, 2, 7],\... | 329 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[17, -6, 21, -20, -25, 23, 9, 4, -4, -6],\n [-6, -16, 3, 8, -14, 22, 2, 17, 22, 8],\n [21, 3, 27, -10, 6, 6, 10, 8, -8, -18],\n [-20, 8, -10, -26, 10, 14, 16, 14, 15, -6],\n [-25, -14, 6, 10, -11, -8, -10, 9, -22, 15],\n [23, 22, ... | 80 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-23, 3, -13, 20, 21, 10, -19, -9, 20, 9],\n [0, -23, 11, -3, 19, 16, 25, 1, -20, -10],\n [0, 0, -16, -17, -19, 5, -28, 13, 26, 27],\n [0, 0, 0, 26, 20, 15, -30, 8, -6, 0],\n [0, 0, 0, 0, -23, -22, 27, -16, -23, 26],\n [0, 0, 0, 0... | 27 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[13, 1, -3, 25, -27, 8, 21, 14, -23, -17],\n [0, -28, -29, -21, -25, 24, -24, -15, -25, -15],\n [0, 0, -19, -9, -16, -9, 4, 29, 17, 19],\n [0, 0, 0, 18, -29, -29, 18, -12, -26, -27],\n [0, 0, 0, 0, 25... | 171 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-14, -13, 9, -7, -23, 6, 25, 10, -1, -11],\n [0, -8, 6, 28, -21, 2, -7, 5, 25, -15],\n [0, 0, -19, -11, 16, -13, 6, 27, -5, 15],\n [0, 0, 0, 12, 16, -10, 12, 1, -24, 22],\n [0, 0, 0, 0, -5, 5, 28, -7, -30, 27],\n [0, 0, 0, 0, 0,... | 28 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[26, 3, 17, -23, -15, 9, -8, 1, -18, -5],\n [0, -30, -29, 8, -18, -4, -27, 10, 20, -11],\n [0, 0, -29, -15, -21, -3, 13, -13, -29, -17],\n [0, 0, 0, 25, 25, 9, -8, 23, 29, -24],\n [0, 0, 0, 0, -23, 19, -26, -8, 10, -21],\n [0... | 172 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[29, -20, 6, -11, -20, 17, 16, 7, 14, -15],\n [0, 4, 19, -30, -6, 18, -4, 21, 1, -25],\n [0, 0, 8, -8, -2, -1, -9, 26, -20, -5],\n [0, 0, 0, -25, -24, 13, 8, 30, 23, 20],\n [0, 0, 0, 0, 30, 2, 9, -28, -1, 17],\n [0, ... | 187 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[27, 0, -8, 14, 14, 14, -10, 6, 7, -6],\n [0, -7, -8, -9, 6, -8, 8, -18, 11, -8],\n [-8, -8, -24, 18, 17, -17, -6, -17, -6, 3],\n [14, -9, 18, 12, 19, 2, 20, 18, 16, -4],\n [14, 6, 17, 19, 3, -4, 2, 4, -15, -17],\n [... | 320 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[4, 9, -2, 8, -14, 20, -5, -11, 15, -6],\n [0, 7, 8, 6, -12, -10, 1, -3, 8, 10],\n [0, 0, 16, -16, -3, 25, -10, -15, -8, 21],\n [0, 0, 0, -19, -27, 4, 0, 30, -4, 30],\n [0, 0, 0, 0, 13, -29, 7, 6, 28, 19],\n [0, 0, 0... | 173 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[14, -21, -25, -27, -27, -24, 17, 2, -22, -5],\n [0, 21, 16, 10, -10, 29, 21, 29, -9, 2],\n [0, 0, 17, -26, -10, -4, 10, -30, 20, -15],\n [0, 0, 0, 1, -2, 8, 16, -8, -16, -5],\n [0, 0, 0, 0, -19, -12, 28, 1, -8, -26],\n [0, ... | 124 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[21, -7, -18, -22, 3, 13, 22, 4, 20, 7],\n [-7, -13, 0, 4, 6, 6, 13, 16, -16, 14],\n [-18, 0, 5, 26, -13, -16, 5, -4, -10, -6],\n [-22, 4, 26, -18, -8, 10, 15, 10, -1, -8],\n [3, 6, -13, -8, -2, -22, 10, 2, -20, -2],... | 350 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[20, 6, 0, -1, -22, -8, -20, 20, 0, 7],\n [6, 10, 2, -19, 4, -12, 19, 0, 4, 14],\n [0, 2, 22, 10, -18, -10, -20, -1, -12, 2],\n [-1, -19, 10, -5, 6, -20, 5, 5, 8, 7],\n [-22, 4, -18, 6, 18, -4, -24, -4, -16, 18],\n [... | 336 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[24, -30, 4, -15, -30, 19, -17, -24, -8, 4],\n [0, -9, -15, -2, -25, -13, -2, -6, 14, 25],\n [0, 0, 1, 5, 1, 10, -11, 24, 6, 11],\n [0, 0, 0, -26, -25, -9, -10, -12, 12, -16],\n [0, 0, 0, 0, 13, 13, -26, 21, 8, -29],\n [0, 0, 0, 0... | 26 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[20, 2, 12, -2, -19, -4, -28, -14, 12, 2],\n [2, -1, 2, 6, -6, -22, 8, 4, 10, 11],\n [12, 2, -19, -7, -15, 22, 4, 4, -7, -4],\n [-2, 6, -7, 14, -10, -7, -6, -2, -4, -4],\n [-19, -6, -15, -10, 10, -6, 10, 1, 22, 2],\n... | 317 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-16, 2, 25, 28, 23, -18, 11, 13, 24, -9],\n [0, 3, -28, -23, -11, 30, 16, -7, 20, -13],\n [0, 0, 28, 20, -29, -26, -13, -15, -21, 22],\n [0, 0, 0, 11, 26, -7, -18, -10, 11, 12],\n [0, 0, 0, 0, -4, 19, -5, -20, 18, 4... | 148 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[17, 3, 4, 16, 3, 0, 15, 6, -23, 4],\n [3, -10, 6, 12, -18, -10, 14, 22, 12, 22],\n [4, 6, -11, 14, 15, -24, 10, 6, 11, 2],\n [16, 12, 14, 14, -11, 28, 22, -10, 10, -24],\n [3, -18, 15, -11, -22, -4, 6, -16, -18, 13],\n [0, -... | 399 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-10, -4, -29, -1, -14, -10, 2, -8, 2, -26],\n [-4, 28, 15, 10, 10, -16, 8, 14, -16, 16],\n [-29, 15, -21, -6, 1, 0, -22, -8, 9, 24],\n [-1, 10, -6, -18, -12, -8, -3, 5, -12, -2],\n [-14, 10, 1, -12, 23, 2, -3, -20, 4, 21... | 76 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-5, -1, -13, 8, -18, 8, 16, -6, -2, 8],\n [-1, -25, 14, -2, -1, 4, 2, -8, 22, -8],\n [-13, 14, 9, -5, -18, 0, 1, -10, -12, -26],\n [8, -2, -5, -17, 4, 8, 8, -17, 8, 14],\n [-18, -1, -18, 4, -1, 2, 4,... | 343 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-10, -8, 6, 25, -26, -5, 4, 17, 16, 14],\n [-8, -3, -2, 15, -12, -4, 8, -4, -2, -20],\n [6, -2, -24, -15, 3, -16, 1, 10, -17, -4],\n [25, 15, -15, 27, -4, -13, -22, 7, 8, -12],\n [-26, -12, 3, -4, 14, -4, 23, 0, 3, ... | 358 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[15, 25, 17, -27, -12, -10, 9, 26, -30, -11],\n [0, 23, -18, 10, -30, -16, 30, -16, -17, -26],\n [0, 0, -25, 10, 0, 21, -5, 27, -6, 20],\n [0, 0, 0, 27, 18, 8, 9, -16, -25, -30],\n [0, 0, 0, 0, 20, -27, -30, 10, -29, 17],\n ... | 202 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[20, -8, -16, 0, -12, -16, 2, 8, -6, 3],\n [-8, 10, 26, -14, 13, 12, 4, -1, 2, 20],\n [-16, 26, -1, 9, 2, 6, 15, 9, -11, -16],\n [0, -14, 9, -24, 24, 7, 5, 22, -3, -6],\n [-12, 13, 2, 24, 26, 3, -6, 0, -14, 22],\n [-... | 321 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-28, 6, -6, 12, -16, -16, 8, 21, 2, 5],\n [6, 19, -11, 10, -3, -18, -6, 5, 4, 15],\n [-6, -11, -7, -14, 1, 25, 11, -16, -17, -4],\n [12, 10, -14, -18, -13, -14, 11, -16, 0, 19],\n [-16, -3, 1, -13, -8, -18, -2, 14, 22, 1],\n [-1... | 71 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-7, 10, -5, -6, 12, -8, -26, 6, 2, 20],\n [10, 10, -13, -4, 4, 2, 9, -2, -6, 18],\n [-5, -13, 8, -4, 0, -6, -7, 2, 6, -18],\n [-6, -4, -4, -27, -16, -10, 4, -6, 6, -4],\n [12, 4, 0, -16, 26, -2, 8, -10, -12, -4],\n [-8, 2, -6, -... | 67 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[23, -9, 8, 8, 27, 12, 17, 5, -15, 6],\n [0, 23, -2, -17, -24, 10, 26, -3, -18, -15],\n [0, 0, 8, 4, 21, -16, 26, 22, -5, 15],\n [0, 0, 0, 6, -10, 21, -23, 28, -11, -13],\n [0, 0, 0, 0, 24, 7, -13, -4, -16... | 29 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-14, -28, 0, 13, -10, 0, 7, -5, 22, 16],\n [-28, 12, -1, 5, -14, 0, 14, 3, 18, 8],\n [0, -1, 28, 18, 24, 6, -29, 12, 8, 5],\n [13, 5, 18, -13, -9, 4, 4, 24, 11, -24],\n [-10, -14, 24, -9, 28, 4, 7, 14, 8, 3],\n [0, ... | 392 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-15, -26, -30, 9, -9, 17, 15, 27, -5, 3],\n [0, 27, -10, -24, -6, 26, -19, 0, 16, -4],\n [0, 0, 23, -14, 28, -20, -2, 3, 29, 20],\n [0, 0, 0, 17, 29, -5, 14, 14, 14, 1],\n [0, 0, 0, 0, -24, 12, -8, -... | 151 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[11, 22, 6, 12, -27, 11, -27, 29, 14, -23],\n [0, -20, -29, -13, -13, -9, -19, -14, 20, -14],\n [0, 0, 18, -15, 10, -20, 13, 12, 14, -9],\n [0, 0, 0, -13, 15, -15, 16, 23, -11, 8],\n [0, 0, 0, 0, -18, -14,... | 24 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-24, -14, 30, 21, -19, 6, 6, 24, 5, 27],\n [0, -7, 3, -30, -2, -5, -21, -30, 14, -14],\n [0, 0, -22, 8, -8, -2, -29, -13, -3, 22],\n [0, 0, 0, -24, -20, -24, 12, -7, 24, 25],\n [0, 0, 0, 0, 25, 26, -21, 17, 21, -23],\n [0, 0, 0, ... | 30 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-24, 20, 0, 8, 11, -23, 22, -4, -10, -1],\n [0, 28, -30, 14, -7, 30, -25, -25, 22, -26],\n [0, 0, -16, 4, 17, 19, 10, -23, 12, 4],\n [0, 0, 0, 0, 6, -23, -25, -8, 22, -15],\n [0, 0, 0, 0, 1, 22, 18, -28, 19, -15],\n [0, 0, 0... | 125 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-28, -1, -4, 22, -14, -25, 16, 12, -13, 29],\n [0, -4, -14, -20, 7, 6, 11, 3, 16, 1],\n [0, 0, 26, 15, 15, 4, -3, 23, -9, -15],\n [0, 0, 0, 9, -19, -26, -5, -5, -18, -7],\n [0, 0, 0, 0, 18, 21, 6, 24, 7, 14],\n [0, 0, 0,... | 28 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[28, -14, 8, -8, 12, 25, 2, -9, -26, -15],\n [-14, -30, 3, -2, -22, 21, 22, 8, -2, 9],\n [8, 3, -28, -1, -9, -10, 3, 1, 5, -4],\n [-8, -2, -1, -24, -10, 11, 16, 2, -13, -4],\n [12, -22, -9, -10, -3, 2... | 378 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[22, -4, 0, 18, 6, -10, -2, -14, -20, 4],\n [-4, -8, 4, 22, 9, 19, -2, 12, 2, 14],\n [0, 4, -1, 6, -14, -16, 6, -12, 2, -2],\n [18, 22, 6, 1, -5, -16, 0, -10, 8, 16],\n [6, 9, -14, -5, 4, 0, -4, 5, 26, -2]... | 61 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-6, 4, 6, -8, 4, -4, -3, 0, 12, -20],\n [4, 23, 22, -4, -18, 16, -20, 16, -7, 2],\n [6, 22, 3, 12, -22, -20, 4, -6, 3, 12],\n [-8, -4, 12, -4, -16, 8, -12, -2, -8, -2],\n [4, -18, -22, -16, 14, -8, -16, -26, -8, -4],\n [-4,... | 353 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[19, -24, -2, -7, -2, -18, 26, 19, -10, 8],\n [-24, 7, 6, 10, 2, -12, -29, 7, -1, -25],\n [-2, 6, 5, -14, 0, -10, -17, 5, -6, 22],\n [-7, 10, -14, -25, -9, 18, -2, -8, 9, 2],\n [-2, 2, 0, -9, 9, 7, 11, -4, 12, 20],\n [-18, -1... | 358 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-20, -27, 1, 0, 0, 6, 12, -6, -2, 11],\n [-27, -5, 8, 4, 18, 20, 16, -8, -6, 20],\n [1, 8, -11, 10, -1, -8, 6, -4, 0, 20],\n [0, 4, 10, 20, -4, -6, 10, -15, -14, -15],\n [0, 18, -1, -4, -2, 3, 18, -4... | 305 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-27, 15, -12, -1, 20, 4, 12, -6, 6, -4],\n [15, 25, -20, -16, 24, -12, -4, -8, 2, 0],\n [-12, -20, 24, -3, -8, -4, 4, -3, -6, 9],\n [-1, -16, -3, 26, -13, -4, 6, 12, -3, -17],\n [20, 24, -8, -13, -2,... | 322 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-16, 6, 15, 4, 12, 2, -10, 24, -3, 14],\n [6, -10, -1, 1, -12, -24, -13, 6, 12, 4],\n [15, -1, 30, -17, -8, -2, 8, 20, 22, 14],\n [4, 1, -17, -19, -5, -5, 25, 18, -22, 10],\n [12, -12, -8, -5, -3, -2, 10, -4, 4, 12],\n [2, -... | 343 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[24, 30, 30, 5, 7, -3, 25, -28, 26, 10],\n [0, -28, 7, 22, 21, -7, -5, 10, 16, -3],\n [0, 0, 22, -4, 17, -28, 10, 18, -3, 1],\n [0, 0, 0, -10, 1, 7, -11, -23, -27, -5],\n [0, 0, 0, 0, -26, 13, 15, 27, -25, -28],\n [0, 0, 0, ... | 225 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-27, -28, 19, -8, -15, 14, -18, 8, 0, -7],\n [0, 27, -16, -26, 18, -9, -9, -20, -7, 14],\n [0, 0, 3, -20, 26, 12, -2, -9, 2, 26],\n [0, 0, 0, 1, 9, 14, -8, -26, 0, -2],\n [0, 0, 0, 0, 30, 0, 27, -17, -14, -15],\n [0... | 211 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[15, 1, -7, 2, 4, 0, 8, 4, -7, 3],\n [1, 25, 2, 2, -4, -9, -12, 4, 10, 6],\n [-7, 2, -2, -13, -12, -9, -10, 16, 12, 16],\n [2, 2, -13, 2, 4, -7, -6, -6, -8, 4],\n [4, -4, -12, 4, 10, 9, -8, -20, -6, 4],\n [0, -9, -9, -7, ... | 58 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[16, -13, 19, 8, 13, -1, 23, 5, 18, 16],\n [-13, -23, -6, -3, 2, 1, 11, 8, 22, 0],\n [19, -6, 18, -2, -14, 4, -4, 6, 11, 23],\n [8, -3, -2, 21, 6, -14, -18, -7, 1, 12],\n [13, 2, -14, 6, -26, -10, 4, 14, 29, 0],\n [-... | 323 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-2, -12, -26, -9, 4, -21, -16, -29, 22, 11],\n [0, 17, 4, 8, -12, 16, -19, 30, 3, 14],\n [0, 0, 20, -24, -7, -28, -25, 2, 22, 3],\n [0, 0, 0, 27, -27, -26, 3, -15, 9, 16],\n [0, 0, 0, 0, 24, 12, 18, 11, 1... | 27 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-20, 17, -5, 24, -6, -24, -11, 10, 26, 20],\n [0, -1, 25, -30, -13, -23, -2, 9, -9, 1],\n [0, 0, 25, -29, 4, -24, -28, 30, -16, 12],\n [0, 0, 0, 15, -13, 28, 3, 5, 15, 8],\n [0, 0, 0, 0, -13, 12, 9, -2, -19, -13],\n... | 129 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-22, -19, -14, -15, -26, -12, 26, -3, -14, -9],\n [0, 18, 28, -16, -12, 16, 19, -5, 13, 29],\n [0, 0, 4, 12, -8, -21, -9, 16, 24, -20],\n [0, 0, 0, 21, 5, 22, 27, -10, -23, -11],\n [0, 0, 0, 0, -30, 29, -28, 0, 25, 27],\n [0, 0,... | 30 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-26, -12, -23, 6, 0, -4, -18, 11, -25, -30],\n [0, -20, 21, 10, 0, -15, -16, -26, -16, -30],\n [0, 0, 29, 17, 23, 8, 24, -23, 22, -9],\n [0, 0, 0, -1, -19, 27, 29, -29, 15, 20],\n [0, 0, 0, 0, -14, 4, 21, 26, 11, 25],\n [0, ... | 173 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[21, -28, 3, -19, 25, 27, 14, -4, 19, 6],\n [0, -6, -19, 20, 2, -22, -30, 25, 19, -8],\n [0, 0, 7, 23, 5, 25, 13, 13, -26, 24],\n [0, 0, 0, 13, -27, -25, 20, 7, -25, -20],\n [0, 0, 0, 0, 4, 30, 9, -27... | 111 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-21, -6, -4, -2, 4, -6, 0, 27, -16, -6],\n [-6, -23, -13, -20, 25, 12, -2, 22, 14, -2],\n [-4, -13, -23, 2, -16, -12, -21, -4, 6, 14],\n [-2, -20, 2, 13, 3, -16, -8, 8, -18, 2],\n [4, 25, -16, 3, 15, -4, -14, 10, 26, 18],\n [-6,... | 65 | MATH |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.