messages listlengths 1 1 | ground_truth stringlengths 5 12 | dataset stringclasses 1
value |
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[
{
"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[-9, 2, 2, -7, -7, -12, -6, -8],\n [9, 4, -6, -9, -10, -1, 2, 7],\n [-4, 8, -1, -8, -5, 2, -6, 6],\n [0, -12, -2, 0, -11, 6, -2, -12],\n [-12, -5, 0, -5, -11, -5, 1, -11],\n [0, -8, -12, -4, 7, -3, -2, 5],\n [4, -7, -2, 11, -9, -12, -1... | 2924149794 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[4, 6, 8, 1, -6, 2, -2, -1],\n [6, -4, -2, -4, 4, 3, -4, 0],\n [8, -2, -12, 2, 8, 6, -4, 2],\n [1, -4, 2, -9, 2, 2, 0, 0],\n [-6, 4, 8, 2, -3, -1, -4, 0],\n [2, 3, 6, 2, -1, 4, -6, -7],\n [-2, -4, -4, 0, -4, -6, -3, 0],\n [-1, 0, 2, 0,... | 1261232 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-3, 6, -12, -11, -2, 2, 10, -12],\n [-4, -5, -12, -3, 4, 5, 3, -11],\n [9, 4, -9, -6, -4, -10, 7, 8],\n [-8, 5, 8, 4, -6, 1, 2, 8],\n [9, 1, -4, 3, 6, -12, -5, 5],\n [-11, -9, 8, -12, 6, -2, 11, -7],\n [6, 1, 10, 9, 8, 11, 11, 6],\n [... | -1404873884 | MATH |
[
{
"content": "Find the value at position (4, 7) of the 5th power of the matrix:\n[[11, 0, -5, -6, 2, -4, -5, -6],\n [0, 10, -1, -7, -4, -2, -10, 0],\n [-5, -1, -11, 0, 5, 10, 3, -6],\n [-6, -7, 0, -8, -4, 0, 2, 0],\n [2, -4, 5, -4, 2, 7, 0, -2],\n [-4, -2, 10, 0, 7, 11, -7, 9],\n [-5, -10, 3, 2, 0, -7, 1, 5],\n... | 632895 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-6, 8, 0, -6, 3, 7, 5, -10],\n [8, -11, -2, 1, 8, -6, -7, 6],\n [0, -2, -10, 3, -10, -6, 5, 8],\n [-6, 1, 3, 0, -7, 2, 9, 5],\n [3, 8, -10, -7, -11, 8, 5, -2],\n [7, -6, -6, 2, 8, -11, 2, -6],\n [5, -7, 5, 9, 5, 2, 10, -4],\n [-10, 6, 8, 5, -2, -6, -4, 10]], d... | 3345492110 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 8, -3, -1, -8, -5, 2, 10],\n [8, -10, 0, 6, 6, -9, -2, 4],\n [-3, 0, 11, 3, 10, 6, 5, -6],\n [-1, 6, 3, -3, -11, -4, 3, 0],\n [-8, 6, 10, -11, 1, -4, -2, 2],\n [-5, -9, 6, -4, -4, -4, 8, 1],... | 103848672422 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[-11, -4, -9, 6, 4, -12, 11, -11],\n [4, -11, -10, -9, 0, 12, 10, -1],\n [8, -8, 1, -7, -12, 3, -7, 0],\n [0, -2, 3, 9, 1, -2, -8, 12],\n [-3, 8, 12, 2, -6, -10, -2, -4],\n [-3, 10, -9, 12, 9, 12, 7, 5],\n [1, -4, 7, ... | 9438355672 | MATH |
[
{
"content": "Find the value at position (6, 4) of the 5th power of the matrix:\n[[-8, 0, 2, 8, -2, -6, 4, -6],\n [0, -5, -9, -3, -2, 4, 0, -4],\n [2, -9, -9, 1, -5, 4, -4, 0],\n [8, -3, 1, 7, -8, 9, -4, 2],\n [-2, -2, -5, -8, 1, 6, 6, -1],\n [-6, 4, 4, 9, 6, 10, -2, 4],\n [4, 0, -4, -4, 6, -2, 4, 10],\n [-6, -... | 1850234 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[12, -2, 2, 0, 0, 0, 3, 7],\n [-2, 9, -3, 10, -3, -2, 0, -5],\n [2, -3, 11, 4, 2, 4, -2, -7],\n [0, 10, 4, 9, 2, 2, -2, 2],\n [0, -3, 2, 2, 12, -11, 0, 0],\n [0, -2, 4, 2, -11, -9, 0, 9],\n [3, 0, -2, -2, 0, 0, 9,... | 113923284 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the value at position (2, 7) of the result:\nA =\n[[-5, -1, 7, 6, 6, -7, -5, -3],\n [8, 4, -12, 6, -1, 9, -11, 4],\n [-6, 1, 1, -1, 3, 5, -5, -11],\n [-2, -12, -3, 5, 3, -11, 10, 4],\n [3, 6, -8, 10, -7, 11, 4, 3],\n [3, -6, 3, -4, 10, -7, 3, -4],\n [-9, 9, ... | 1011784 | MATH |
[
{
"content": "Find the value at position (5, 3) of the 6th power of the matrix:\n[[-2, -8, 4, -4, 3, -6, 0, 8],\n [-8, -7, 5, 0, 3, 2, -10, -4],\n [4, 5, 1, 8, 6, 3, 1, -3],\n [-4, 0, 8, 8, 4, 6, 0, -2],\n [3, 3, 6, 4, 9, -1, 2, 0],\n [-6, 2, 3, 6, -1, -3, 6, -7],\n [0, -10, 1, 0, 2, 6, 10, -7],\n [8, -4, -3, -... | 21823340 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[5, 4, 0, 6, -2, 0, 0, -4],\n [4, 8, 0, -2, -2, 3, 2, 0],\n [0, 0, 7, 2, -9, -4, -2, -4],\n [6, -2, 2, 0, -1, -2, 8, -2],\n [-2, -2, -9, -1, -11, 0, 1, 2],\n [0, 3, -4, -2, 0, 8, 2, -2],\n [0, 2, -2, 8, 1, 2, -9, -2],\n [-4, 0, -4, -2, 2, -2, -2, 3]], determine... | 10557263 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[1, -6, -3, -1, 10, -5, 10, -2],\n [7, 0, -1, -6, 8, -1, -3, -6],\n [6, -6, 10, 5, 11, 10, 12, -1],\n [-9, 12, -12, -8, -3, -6, 7, -6],\n [12, 0, 1, -8, 8, -11, 1, 8],\n [-5, 7, -11, -5, 7, -8, -1, -6],\n [8, 0, 2, -3, -9, 3, -6, 0],\n... | -10177291 | MATH |
[
{
"content": "What is the value at position (5, 8) of the matrix A^7 where A is:\n[[12, -7, -10, 1, -3, -2, -8, 9],\n [3, -4, 8, 3, -4, 4, -1, 2],\n [-3, -9, 4, 5, 5, -3, -2, 8],\n [-12, -3, -10, -7, 4, -1, -2, 4],\n [-10, -4, 5, -7, -10, -7, -2, -2],\n [-6, 0, 0, -6, 1, -11, -10, -9],\n [-5, 8, -12, -4, 4, 5, ... | -127951645 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[-8, -6, 5, 0, 9, -2, -8, 9],\n [2, 8, -6, -8, -6, 4, -4, -7],\n [-4, 4, -11, 10, 7, 0, 4, 8],\n [7, -7, 10, 6, -7, -11, 0, 7],\n [-3, -4, 0, -6, 5, 9, 1, -9],\n [-5, -1, -5, 3, -12, 11, -3, -6],\n [1, 4, 6, -8, 6, -1... | 10541859764 | MATH |
[
{
"content": "Find the sum of all entries of the 7th power of the matrix:\n[[-10, -10, 0, 7, -8, -7, 1, -7],\n [12, 4, -4, -9, 10, 2, 9, 12],\n [5, 2, 5, -6, 2, 12, -8, 10],\n [-2, 11, 1, -5, -9, -3, -6, -12],\n [7, -1, 0, 3, 1, 0, -8, 1],\n [0, 1, -1, 10, 9, 7, 2, 6],\n [-2, 9, 2, 8, -1, 6, 3, -9],\n [5, -4, 3... | -437455656 | MATH |
[
{
"content": "What is the value at position (7, 2) of the matrix A^7 where A is:\n[[4, 3, -6, 5, 6, -6, -5, -8],\n [3, 5, 2, 4, -6, 4, -8, -6],\n [-6, 2, -3, 5, -4, 0, -6, -8],\n [5, 4, 5, 11, 1, -3, 2, 4],\n [6, -6, -4, 1, -2, 1, 1, -4],\n [-6, 4, 0, -3, 1, -11, -2, -3],\n [-5, -8, -6, 2, 1, -2, 0, 10],\n [-8,... | -1388856113 | MATH |
[
{
"content": "What is the value at position (6, 6) of the matrix A^5 where A is:\n[[3, 7, 10, -3, -3, 4, 9, 10],\n [4, -11, -4, 12, 9, -9, -6, -8],\n [6, -9, 5, 9, -10, 10, -9, 1],\n [11, 1, 4, -4, 6, -10, 2, 8],\n [-12, 6, -9, 1, 5, -1, -7, -3],\n [-9, 3, -12, -10, -6, -10, 9, 2],\n [-7, 3, 4, -11, -3, -2, -7,... | -273576 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the value at position (8, 1) of the result:\nA =\n[[-5, -2, 6, 7, 7, 2, -2, -6],\n [-2, 10, -8, 8, 4, 0, -6, 4],\n [6, -8, 9, 6, -1, 8, -2, -8],\n [7, 8, 6, -5, 4, -8, -8, 2],\n [7, 4, -1, 4, -12, -4, 0, -1],\n [2, 0, 8, -8, -4, -8, 1, 3],\n [-2, -6, -2, -8,... | -1456048 | MATH |
[
{
"content": "Find the sum of all entries of the 6th power of the matrix:\n[[12, 0, 2, 8, -4, 2, -8, 2],\n [0, -1, -2, -6, -4, 12, 8, 0],\n [2, -2, 11, 6, -2, 0, 8, -2],\n [8, -6, 6, 6, -4, -7, 8, -2],\n [-4, -4, -2, -4, -1, 4, 8, 6],\n [2, 12, 0, -7, 4, -5, 0, -2],\n [-8, 8, 8, 8, 8, 0, -6, -5],\n [2, 0, -2, -... | 152722379 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[5, -9, 12, -6, -1, 10, -1, 10],\n [8, -12, 8, 11, -1, 10, -6, 2],\n [-11, -12, -9, -5, 4, 5, 10, -8],\n [-7, -1, 11, 3, -4, 2, -5, -1],\n [1, 4, 1, 7, -8, 0, 12, -7],\n [1, -7, -10, 3, -1, 1, -11, 5],\n [-6, -8, -1, 4, -1, 8, -2, -12],\n [-4, -5, 1, -9, -2, 4,... | 30493356760 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[-12, 5, -8, 12, -5, -5, -4, 5],\n [-6, -3, 8, 3, -10, -3, -5, 5],\n [-9, -1, 8, -8, -9, 6, 6, -8],\n [2, -1, 0, -7, 4, 7, -3, 1],\n [2, -3, -7, 3, -11, -3, -8, -4],\n [6, 6, -4, 3, 6, 7, 12, -9],\n [-8, 5, -5, 0, -4... | 585489269 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[0, 9, -10, 6, 10, 6, 3, 3],\n [-10, 10, 12, -4, 6, 11, -12, 1],\n [11, -2, 5, 7, -6, -7, -1, 12],\n [11, -11, 0, 7, -12, 10, 2, 7],\n [-5, 5, 2, -5, -11, -2, -5, 0],\n [-12, 5, -8, -12, -1, -8, 8, 3],\n [10, 5, -11, 2, 9, -2, -3, -10],\n [0, 0, 11, -10, -3, -9... | 16862271382 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[4, -9, 2, -1, 1, 4, -7, 0],\n [-9, 9, 2, 6, 0, -6, -2, 9],\n [2, 2, -5, 9, -8, 4, 5, -10],\n [-1, 6, 9, 9, -6, -2, 3, -4],\n [1, 0, -8, -6, 2, -4, 3, 7],\n [4, -6, 4, -2, -4, 9, 2, -4],\n [-7, -2, 5, 3, 3, 2, 4, 6],\... | 136670742 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[-5, -6, 0, 3, -2, 4, 10, 3],\n [-6, -4, 2, 2, 2, -2, 8, 4],\n [0, 2, -2, 1, -2, -6, -6, 9],\n [3, 2, 1, 2, -5, 1, -2, -4],\n [-2, 2, -2, -5, 7, 8, -4, 1],\n [4, -2, -6, 1, 8, -1, -3, -7],\n [10, 8, -6, -2, -4, -3... | -183776835 | MATH |
[
{
"content": "Find the value at position (1, 2) of the 7th power of the matrix:\n[[-1, 11, -4, -11, 3, 3, 9, 10],\n [-12, 8, -2, 8, -10, -11, 1, -12],\n [-7, -6, -11, -11, 2, 8, -8, 0],\n [6, 6, 2, -12, -10, 12, 5, 4],\n [12, 8, -5, -2, 7, -5, 8, -7],\n [-7, -7, -11, -3, -3, -4, 10, -10],\n [-11, -9, -5, -4, -1... | 357319432 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[-8, 7, 7, 8, -10, -4, 5, -1],\n [10, -9, 11, -6, 11, 7, -2, -11],\n [10, -1, -4, -7, -6, -7, 5, 0],\n [-4, 8, 6, -9, -9, 0, 12, -2],\n [8, -11, -7, -1, 10, -5, -8, 11],\n [11, 7, 10, -4, -9, -4... | 13381021822 | MATH |
[
{
"content": "Find the value at position (7, 2) of the 7th power of the matrix:\n[[-11, -2, -5, -7, 5, 9, -2, 11],\n [-7, -4, 9, 1, 6, 12, 8, -7],\n [7, 6, -3, 1, -8, -1, 6, -11],\n [2, -7, -5, 1, -10, -7, -2, -4],\n [4, 6, -11, -5, 12, -3, 9, -10],\n [-3, 11, 10, -11, -6, -12, 11, -1],\n [-8, -4, -1, -2, -1, -... | -295692517 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the value at position (6, 1) of the result:\nA =\n[[-1, 6, 7, 10, -4, -2, 5, -4],\n [2, 9, 5, -5, -9, 0, 2, -5],\n [3, -2, 10, 10, 0, -6, 5, -5],\n [-11, -10, -3, -6, 10, -6, -9, 8],\n [10, -5, 6, 9, -1, 12, -3, 1],\n [-1, 8, 7, 12, -9, 6, -6, 8],\n [-12, -5... | -18424474 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[-6, -11, 9, 0, 9, 6, -9, -7],\n [9, 4, 11, -4, -11, 7, -7, 5],\n [10, 9, 11, 2, 10, 3, -12, -3],\n [-3, 8, -7, 10, -9, 1, 12, 4],\n [-10, -11, 5, 4, 0, 6, -3, 8],\n [9, 11, -9, 4, 3, 12, 6, 11],\n [1, 7, 2, 6, -10, 7, 7, 3],\n [-6, 5,... | 10645304 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-7, 0, -12, 6, -6, 10, 11, 3],\n [1, -11, -6, 7, 9, 7, 2, 12],\n [1, -12, 4, 3, -8, 8, 11, 10],\n [-10, 11, 7, 6, -11, 12, 1, 10],\n [8, 12, 6, 0, 0, -7, 11, -4],\n [7, -12, 11, -3, -10, -7, 3, 7],\n [-7, -1, -10, 10, 5, 8, -10, -8],\... | 488896845 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[-3, 6, -8, -6, 0, -2, -9, -4],\n [6, 11, 0, -1, 9, 0, 0, 4],\n [-8, 0, 2, 0, 0, 5, -4, 0],\n [-6, -1, 0, -12, -11, 1, -4, -5],\n [0, 9, 0, -11, -12, -4, 0, -2],\n [-2, 0, 5, 1, -4, 9, 12, -8],\n [-9, 0, -4, -4, 0, 12, -6, 10],\n [-4, 4, 0, -5, -2, -8, 10, -5]]... | 3214297672 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[9, 8, -4, 0, -5, -10, -4, 8],\n [8, 12, 0, -4, -11, -2, 4, 4],\n [-4, 0, 12, 4, -1, 2, 1, 2],\n [0, -4, 4, 6, 1, 2, 3, 10],\n [-5, -11, -1, 1, 4, 4, 0, 8],\n [-10, -2, 2, 2, 4, 0, -4, 10],\n [-4, 4, 1, 3, 0, -4, 2, -6],\n [8, 4, 2, 10, 8, 10, -6, 1]], determin... | 390028153 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[-4, -10, -1, -9, 12, 2, 0, 5],\n [1, 0, -4, -8, 6, -5, 0, -4],\n [4, -8, -4, -2, -11, 0, -12, -5],\n [2, 9, -11, -10, 8, 4, 5, 4],\n [1, -2, 10, 10, 1, -8, -7, 6],\n [-2, -11, -3, 0, 12, -11, 1, 4],\n [-4, -5, -5... | 1123869501 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-5, -12, -2, 2, -12, 12, 3, 12],\n [-6, -12, -11, -5, 11, -2, 0, -8],\n [5, 6, 8, -10, -12, 9, -8, 6],\n [-4, 11, -6, -1, 1, 3, 0, 5],\n [-3, 8, 8, -7, 9, -10, -9, -12],\n [-2, 4, -8, -1, 7, 10, -6, -9],\n [3, 2, 1, -11, -3, 7, 11, -1... | -2639957409 | MATH |
[
{
"content": "What is the value at position (5, 2) of the matrix A^6 where A is:\n[[5, 7, 10, -5, -8, 8, 7, 12],\n [-1, 3, 7, 6, 12, -6, 12, -9],\n [6, -3, -5, 3, -9, -3, 6, 3],\n [-1, 7, -11, -2, 7, 10, 0, -10],\n [4, -3, -5, -7, 1, 6, 11, 9],\n [-12, 12, -2, 12, 12, 1, 0, -1],\n [9, -7, -9, 11, -4, -6, -6, 0]... | -28612653 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[-11, 0, 0, 1, 2, 0, 2, -2],\n [0, -9, 0, -2, -1, -6, -1, 6],\n [0, 0, -12, -2, 5, -4, -4, 0],\n [1, -2, -2, -5, 6, -6, 0, 0],\n [2, -1, 5, 6, -7, 0, -10, -2],\n [0, -6, -4, -6, 0, -10, 2, 0],\n... | 728032366 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[6, 12, -4, -2, 4, 6, 2, 0],\n [12, -10, -8, -4, -3, -4, -8, 0],\n [-4, -8, -12, 0, 3, -3, -6, -10],\n [-2, -4, 0, 9, 0, 2, 4, -4],\n [4, -3, 3, 0, -9, 10, -8, 0],\n [6, -4, -3, 2, 10, -2, -8, 6],\n [2, -8, -6, 4, -8, -8, 6, 8],\n [0, 0, -10, -4, 0, 6, 8, 8]], ... | 138192 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-4, -5, 6, -8, -2, -10, 2, -3],\n [-5, 5, 0, 0, 7, 4, -2, -6],\n [6, 0, 4, -4, 4, 5, 9, -2],\n [-8, 0, -4, -2, -5, 2, 6, -2],\n [-2, 7, 4, -5, -1, -2, -2, 4],\n [-10, 4, 5, 2, -2, 4, -12, 2],\n [2, -2, 9, 6, -2, -12, 12, 10],\n [-3, -... | 2450894649 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the value at position (3, 2) of the result:\nA =\n[[-5, 6, 4, -6, 0, 5, 0, -4],\n [6, -5, 10, 4, -5, 8, 0, -2],\n [4, 10, 9, -2, 0, 10, 5, 9],\n [-6, 4, -2, 3, -6, 6, 0, -6],\n [0, -5, 0, -6, -11, 4, 6, -1],\n [5, 8, 10, 6, 4, -11, 0, -2],\n [0, 0, 5, 0, 6, ... | 2039688 | MATH |
[
{
"content": "What is the value at position (7, 2) of the matrix A^7 where A is:\n[[-11, -9, -3, 11, -6, -1, -5, 10],\n [10, 10, 3, -11, -10, 4, 2, 5],\n [-3, 9, -11, 4, 3, 11, 12, -6],\n [6, 3, -12, -9, 0, -3, -2, 6],\n [2, -2, -10, -11, -2, -3, -10, -8],\n [2, -9, 4, -12, -12, -1, -3, -4],\n [-4, 12, 7, 7, 1,... | 737462852 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[2, 7, 11, 3, -4, -5, -2, -4],\n [3, 1, 2, 1, 11, -3, 0, -12],\n [10, -4, 4, 4, -3, 0, 5, 0],\n [8, 11, 0, 11, -3, 7, -6, -6],\n [-4, 3, 2, 12, -10, 0, -2, -5],\n [8, 8, 11, -7, -3, 4, 7, -4],\n [8, 1, 7, 0, -12, 12, 11, 6],\n [-4, 4, 2, 7, -8, -9, -9, 12]], de... | 181773262 | MATH |
[
{
"content": "Find the sum of all entries of the 5th power of the matrix:\n[[2, -8, 4, -6, -7, 2, 12, 7],\n [1, -3, -7, -3, 10, 7, -4, 0],\n [1, -12, -12, 6, -4, -8, 4, 3],\n [-1, -8, -7, 7, 10, -2, 6, 8],\n [-7, 10, -3, 2, 5, 8, -6, 10],\n [-10, 11, 3, 0, 4, -9, 6, -9],\n [12, -1, 11, -9, 11, 4, 11, 5],\n [9, ... | 8889701 | MATH |
[
{
"content": "Find the sum of all entries of the 5th power of the matrix:\n[[0, -8, 6, 0, -2, -2, 6, 4],\n [-8, 10, 5, -2, -1, 5, -2, -6],\n [6, 5, -5, 8, -6, 5, 4, -10],\n [0, -2, 8, 0, 8, 0, 8, 0],\n [-2, -1, -6, 8, -4, 0, -6, 5],\n [-2, 5, 5, 0, 0, -10, 2, -1],\n [6, -2, 4, 8, -6, 2, -12, -4],\n [4, -6, -10,... | -1523313 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[12, -6, -11, -12, 11, -12, -5, 12],\n [4, 10, -8, 1, -5, 7, 5, 10],\n [-6, 11, 1, 12, 1, -7, -10, 8],\n [1, 1, -10, -3, -4, 8, -6, -6],\n [-6, -1, -9, 7, 0, -10, 7, -4],\n [8, 9, 7, 0, -12, 10,... | 24733951976 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[12, 1, 0, 1, 0, 6, -10, 0],\n [1, 11, -6, -9, 4, 4, -2, -2],\n [0, -6, -2, -12, -6, 6, 4, -1],\n [1, -9, -12, 2, 8, 2, -10, -12],\n [0, 4, -6, 8, -8, -3, -10, 1],\n [6, 4, 6, 2, -3, 4, 0, 8],\n [-10, -2, 4, -10, -10, 0, -3, 4],\n [0, ... | -360717128 | MATH |
[
{
"content": "What is the value at position (8, 6) of the matrix A^5 where A is:\n[[-3, -2, -1, 9, -10, -7, -5, 10],\n [0, 11, 6, -5, 8, 10, 0, -9],\n [-10, 9, 12, 7, 12, -10, 9, -1],\n [-8, 12, -7, 5, 7, 1, -8, -2],\n [-4, 4, -1, 12, -12, -12, -9, 9],\n [5, 4, -1, 7, 11, 9, -1, -8],\n [-12, 6, -6, 2, 1, -10, -... | 1058094 | MATH |
[
{
"content": "What is the value at position (4, 2) of the matrix A^7 where A is:\n[[10, 1, -4, 7, 3, 4, 4, -11],\n [-3, -2, -10, -11, -9, -5, 6, 7],\n [5, -12, 11, 10, -11, -5, -3, 6],\n [-6, 4, -10, 12, 2, -9, 4, -2],\n [-7, 4, -3, -12, 5, 1, 6, 5],\n [11, 9, -12, 9, -12, -4, 1, -10],\n [-1, 4, 4, -11, -7, -12... | -199307689 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-5, -11, -5, -12, 10, -6, 9, 1],\n [-9, 8, 4, -11, 10, -11, -5, -6],\n [-5, 7, 4, 10, 4, -6, 12, -8],\n [2, -11, -2, 4, 11, 0, -9, 11],\n [5, 1, 6, -10, -9, 12, -4, 8],\n [10, 1, 12, 4, -11, 1, 9, 3],\n [6, 3, -2, 1, -6, -8, -5, 4],\n [12, 1, -3, 9, -1, -8, -5... | 58748814 | MATH |
[
{
"content": "What is the value at position (5, 3) of the matrix A^6 where A is:\n[[-9, -4, 1, 2, -2, 6, 10, 2],\n [-4, -7, -4, 2, -2, 0, -5, 2],\n [1, -4, -5, 2, 2, 10, -4, 9],\n [2, 2, 2, -8, 6, 10, -8, -4],\n [-2, -2, 2, 6, 8, 2, 2, 10],\n [6, 0, 10, 10, 2, -3, 0, -10],\n [10, -5, -4, -8, 2, 0, 2, 2],\n [2, ... | 44042778 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[5, 2, 0, -5, 5, 8, 3, -7],\n [2, -7, -8, 0, -10, -9, 6, -6],\n [0, -8, 3, -4, 2, 0, 3, -6],\n [-5, 0, -4, -11, 1, 4, 4, 5],\n [5, -10, 2, 1, 6, 0, 0, 0],\n [8, -9, 0, 4, 0, 5, -3, 2],\n [3, 6, 3, 4, 0, -3, 2, -1]... | 252642782 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-12, -12, 11, 0, 0, 2, 1, -2],\n [-12, -2, 1, -3, -8, 6, -5, 2],\n [11, 1, -8, 0, -4, 4, -6, 8],\n [0, -3, 0, -8, 6, 10, -2, -1],\n [0, -8, -4, 6, 10, -8, 5, -2],\n [2, 6, 4, 10, -8, 10, 1, 5],\n [1, -5, -6, -2, 5, 1, -4, 4],\n [-2, 2, 8, -1, -2, 5, 4, 11]], d... | 3062991 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[9, 10, 4, 2, -4, -12, 4, 0],\n [10, 8, 6, 2, 0, -1, 4, 2],\n [4, 6, -5, 8, 3, 2, 1, 4],\n [2, 2, 8, 11, 2, -7, -2, 0],\n [-4, 0, 3, 2, 5, 7, 2, 0],\n [-12, -1, 2, -7, 7, -11, 0, -10],\n [4, 4, 1, -2, 2, 0, -9, 7],\n [0, 2, 4, 0, 0, -1... | 1728783572 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[5, 9, -12, -2, 0, 2, -9, -4],\n [9, -6, 6, 1, 4, 12, 2, 9],\n [-12, 6, -1, -4, 4, -8, 0, 2],\n [-2, 1, -4, -2, -1, 9, 10, -4],\n [0, 4, 4, -1, 11, 11, -3, 0],\n [2, 12, -8, 9, 11, 3, -2, -6],\n [-9, 2, 0, 10, -3, -2... | 5542246078 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the value at position (2, 3) of the result:\nA =\n[[7, 10, 1, 2, 1, -8, 0, 4],\n [10, -3, 7, 2, -2, 0, -4, 2],\n [1, 7, 12, -5, 8, 7, -3, 0],\n [2, 2, -5, 0, 2, 0, -2, 8],\n [1, -2, 8, 2, 1, 7, -7, 2],\n [-8, 0, 7, 0, 7, 7, 7, -6],\n [0, -4, -3, -2, -7, 7, 1... | 18879997 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the value at position (4, 5) of the result:\nA =\n[[-5, 2, 0, 4, -2, 1, -6, 2],\n [2, -7, 2, -4, 0, 6, -5, 3],\n [0, 2, 12, -8, -2, -5, -9, -2],\n [4, -4, -8, 0, 2, 6, -2, -2],\n [-2, 0, -2, 2, 8, 8, -8, 2],\n [1, 6, -5, 6, 8, -2, -4, 6],\n [-6, -5, -9, -2, ... | 541004 | MATH |
[
{
"content": "Find the value at position (1, 7) of the 5th power of the matrix:\n[[7, -3, -3, 4, 8, 1, -8, -10],\n [-2, 6, 7, 6, 1, 2, -10, -10],\n [10, -4, -2, 2, 4, 11, -1, 4],\n [-4, 0, -5, 9, -7, 10, 11, -6],\n [-12, -3, 2, 1, -9, -9, -4, 2],\n [-1, -4, -10, 2, 12, 8, -2, -7],\n [2, -6, 6, 1, -9, 8, -12, 11... | -893103 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-7, 3, -8, -12, 9, 1, 10, 8],\n [6, -7, -1, -6, -3, -3, 12, 0],\n [-6, 6, -12, 2, 1, 0, -6, -1],\n [-5, 2, 4, 8, -1, 0, -5, -3],\n [-6, -11, 3, -9, -7, -6, 10, 6],\n [11, 10, -9, -3, -9, 7, -8, 1],\n [-2, -11, -4, 9, -1, 11, -12, 9],\n [2, -7, 11, 4, 8, 2, 1, ... | 16414770584 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[9, -4, -10, 12, 12, 2, 4, -11],\n [-9, 1, -2, -1, 10, 3, -1, -11],\n [-6, 8, 10, 12, 12, -10, -10, 0],\n [-6, -8, 8, -8, 12, 7, 9, -7],\n [0, -6, -11, 9, -4, 6, -11, 0],\n [-5, 3, -12, -2, -5, 8, 12, 12],\n [7, -12, ... | 1485508847 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[5, -1, -4, -6, 2, 4, 8, -2],\n [-1, 4, 8, 4, 2, -8, -2, -4],\n [-4, 8, -4, 0, 8, -10, -2, 4],\n [-6, 4, 0, 1, 2, -5, -10, 5],\n [2, 2, 8, 2, -6, -2, 0, 0],\n [4, -8, -10, -5, -2, 12, 1, 9],\n [... | 213035990 | MATH |
[
{
"content": "Find the value at position (1, 4) of the 6th power of the matrix:\n[[-5, 1, 6, 5, -10, -9, 4, 2],\n [1, 10, 6, -7, -1, 7, -2, 0],\n [6, 6, 12, -8, -3, -2, 2, -1],\n [5, -7, -8, 3, -8, -6, 3, 0],\n [-10, -1, -3, -8, -9, -5, 4, -6],\n [-9, 7, -2, -6, -5, 5, 2, -6],\n [4, -2, 2, 3, 4, 2, 2, 2],\n [2,... | 47335421 | MATH |
[
{
"content": "Find the sum of all entries of the 6th power of the matrix:\n[[-3, 7, -2, 12, -4, 9, 4, -4],\n [12, 10, -4, 11, 12, -4, 10, 9],\n [-11, 0, 10, -12, -7, -7, 3, -1],\n [2, -6, -11, -1, 7, -11, -9, -10],\n [-11, 5, -10, -3, -1, -9, 10, 7],\n [-6, 7, 6, -5, -10, 2, -5, 5],\n [1, 6, -9, -10, 9, -4, -3,... | 144768093 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (8, 6) of the result:\nA =\n[[0, 3, 2, 6, -9, 6, 11, 0],\n [-2, 5, 12, -2, 9, -12, 2, 11],\n [-3, 9, -9, -7, -11, 4, -1, 9],\n [11, -8, 11, 6, -7, 4, 6, 7],\n [8, -10, -5, -8, 10, -8, 11, 4],\n [6, 6, -3, -10, 9, 12, 0, 3],\n [-1, 9, 8,... | 781520127 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[5, -1, 5, -3, -9, 7, 6, 11],\n [-9, 11, -2, -10, 2, 3, -1, 5],\n [11, -7, 2, -11, 10, -1, -3, 10],\n [-9, -5, 2, 6, 3, 0, 12, 2],\n [1, 2, -1, -2, 8, -10, 12, 1],\n [-11, 5, -10, -4, -2, -10, -8, -4],\n [-3, -7, ... | 95296442 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[-4, -2, -4, -2, -4, 4, 0, -7],\n [-2, -1, -6, -4, -8, -8, -4, -6],\n [-4, -6, -9, 8, -2, -8, -6, 8],\n [-2, -4, 8, 0, 2, 2, -2, -7],\n [-4, -8, -2, 2, 5, 3, 2, 4],\n [4, -8, -8, 2, 3, 5, 2, -1],\n [0, -4, -6, -2,... | 282861613 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-5, -2, 4, 1, -11, -6, 10, 5],\n [-12, 2, -12, 4, 9, -6, 3, -11],\n [2, 9, 7, 12, -2, 11, 11, -11],\n [-2, 8, 3, -11, 6, 3, -5, 8],\n [7, -8, -5, 1, 1, 10, 9, 5],\n [-8, -3, 2, 0, -4, 12, -4, 6],\n [12, -4, -8, -7, 10, -3, -3, -7],\n [8, -12, 7, 0, -5, 11, 0, ... | 32574275763 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[6, -2, 6, -1, 1, 4, 2, 5],\n [-2, -7, -4, 4, -6, 10, -5, 2],\n [6, -4, 12, -6, -5, 6, -4, -2],\n [-1, 4, -6, -9, 7, 6, 2, -7],\n [1, -6, -5, 7, -4, 3, 0, 2],\n [4, 10, 6, 6, 3, 3, 9, -1],\n [2, -5, -4, 2, 0, 9, 8... | 291856874 | MATH |
[
{
"content": "Find the value at position (5, 5) of the 5th power of the matrix:\n[[0, 4, -9, 2, -3, 0, 0, 0],\n [4, 4, 5, 4, 2, 0, -2, -10],\n [-9, 5, 4, -7, 0, -2, -8, -2],\n [2, 4, -7, -3, 0, 3, -4, -10],\n [-3, 2, 0, 0, -8, -7, 0, 10],\n [0, 0, -2, 3, -7, 12, -7, 2],\n [0, -2, -8, -4, 0, -7, 6, 4],\n [0, -10... | -636195 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[3, 0, -2, 4, 6, -6, -11, 8],\n [0, 2, 8, -8, 4, 2, -4, -1],\n [-2, 8, -2, -7, -3, -3, -8, 4],\n [4, -8, -7, -9, 1, 6, -2, -7],\n [6, 4, -3, 1, 10, 6, 4, 4],\n [-6, 2, -3, 6, 6, -8, 0, 4],\n [-11, -4, -8, -2, 4, 0, -... | 60642906786 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-4, 12, -9, 2, 8, -3, -6, -7],\n [2, 12, -11, 11, 2, 5, 1, 5],\n [-10, 7, 9, 1, -7, 1, -11, 9],\n [3, 11, 3, 8, 4, 3, 3, -5],\n [-7, 5, 10, 1, 3, -5, 5, 1],\n [4, 9, 9, -5, 3, 10, 11, -3],\n [-3, 8, 5, 8, 5, -4, 8, -12],\n [12, 3, -3, 2, -8, 4, -4, 12]], deter... | 61251469644 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[12, -7, -11, 0, 10, 5, 7, -9],\n [-3, 10, 9, -2, 0, 10, 9, 4],\n [-2, -9, 1, -10, 10, 10, -1, -9],\n [3, -6, 7, 12, 6, 5, 8, -4],\n [-2, 6, 4, 12, 8, 5, -7, -10],\n [1, -4, -10, -11, 6, -7, -10, 12],\n [12, -4, 5, -... | 151722906309 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -4, -6, -1, 6, -8, 5, 6],\n [-4, -3, -8, 4, 8, 3, -4, 2],\n [-6, -8, -7, -4, -4, 2, 10, 0],\n [-1, 4, -4, 9, -1, -2, 7, -1],\n [6, 8, -4, -1, -12, -8, 6, -8],\n [-8, 3, 2, -2, -8, 1, -5, 0]... | 2001303438 | MATH |
[
{
"content": "Find the sum of all entries of the 6th power of the matrix:\n[[12, -2, -1, -1, 0, 9, 10, -5],\n [-9, 8, 7, -12, -7, 10, -11, 9],\n [1, 5, -3, 8, -12, -10, 7, -9],\n [5, -5, 9, -4, 9, 6, -11, -4],\n [-10, 9, -11, -6, 4, 12, 4, -4],\n [-12, -12, -5, 4, -5, 6, -9, 5],\n [0, 9, -6, -10, 1, -4, -10, -6... | -4472752 | MATH |
[
{
"content": "Find the value at position (5, 4) of the 7th power of the matrix:\n[[12, -4, 7, -12, 4, -1, -4, 9],\n [-8, 2, 0, 6, -10, -11, 0, -6],\n [-4, 9, -3, -12, 9, 3, -2, 11],\n [-5, 0, 3, -10, 0, 4, 8, -7],\n [-3, -4, 5, 4, -6, -11, -2, 5],\n [-10, 1, 7, 0, 10, 4, 9, -2],\n [-6, -10, -10, -11, 8, 3, 10, ... | -9673980 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[6, 0, 9, 4, -4, 6, 6, 10],\n [10, -7, -6, -8, -5, 1, 5, 8],\n [12, 7, 11, -10, 9, -5, 1, 12],\n [1, -6, -7, -7, -1, 9, 2, 12],\n [6, -9, -10, 0, 12, 3, 0, 8],\n [-3, 0, -5, -1, -5, -4, -3, -6],... | 62817316 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[-7, 11, -5, 5, -6, 5, -12, 11],\n [12, 1, 10, 7, -6, 7, -6, -9],\n [12, -8, 10, 11, 8, -12, 7, -10],\n [0, -6, -7, -7, -11, 3, -7, -5],\n [8, 12, -2, 5, 10, -7, 1, 2],\n [-2, 2, 0, -7, -9, 1, 0... | 866314887 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-3, -6, 4, -2, -8, 2, 0, 0],\n [-6, -8, -2, -8, -2, 2, -2, -3],\n [4, -2, -9, 1, 6, 4, -8, -8],\n [-2, -8, 1, 9, -2, 4, -8, -1],\n [-8, -2, 6, -2, 11, 3, 7, -4],\n [2, 2, 4, 4, 3, -6, 0, -4],\n [0, -2, -8, -8, 7, 0, -1, -5],\n [0, -3, -8, -1, -4, -4, -5, -6]],... | 23705848954 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-4, -12, -8, 2, -9, -3, -11, 10],\n [-6, 11, 6, -7, 2, 7, -1, -2],\n [-10, 7, 4, -6, 10, 10, 5, 4],\n [3, 12, -11, -8, 8, 0, -2, 11],\n [-12, 10, -10, 5, 8, -9, -4, -2],\n [4, -2, -10, 6, 7, 10, 8, -2],\n [1, -7, 6, 8, 2, -2, 5, -9],\n [6, -10, -1, -9, 11, -1,... | 3913309301 | MATH |
[
{
"content": "Find the sum of all entries of the 5th power of the matrix:\n[[3, 8, -11, 9, -10, 3, -3, -4],\n [1, 12, -5, -11, -2, -11, 2, 5],\n [-8, 12, -6, 10, 6, 6, 3, 6],\n [4, 0, -5, -2, 5, -2, 10, -4],\n [1, -11, 4, 8, 3, -8, -12, -4],\n [-10, 1, 5, -1, 10, 1, 3, -8],\n [7, 7, 2, -4, 12, 4, -1, 0],\n [-3,... | 5464386 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the value at position (1, 3) of the result:\nA =\n[[12, 8, 5, 9, -12, -3, 9, 6],\n [-10, -6, -9, -8, -7, -3, -1, 1],\n [9, -11, -10, -12, -10, 11, 2, 3],\n [7, -11, 7, 3, 2, -6, 12, -8],\n [-8, 8, -4, 10, 1, 6, 5, -4],\n [-10, -2, 11, 2, -9, 8, 11, -8],\n [5... | 3225471 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[-2, 8, 9, -10, -4, -11, 1, -11],\n [8, -3, 6, -11, 3, -7, -1, 9],\n [-6, -9, -5, 6, -3, -12, -8, -7],\n [6, 5, 6, 6, 10, -12, 7, -2],\n [-10, -3, -6, 4, 11, 3, -6, 0],\n [-1, -1, -5, -5, 0, -2, 12, -12],\n [12, 4, 6, 0, 10, 2, 11, -1],\n [8, 4, -10, -6, -11, -... | 1225858736 | MATH |
[
{
"content": "Find the value at position (5, 2) of the 7th power of the matrix:\n[[-9, 3, 2, -3, 1, -4, 2, -6],\n [-6, -5, 6, 5, 4, 5, 6, 8],\n [-5, 0, -2, 6, -6, -8, -8, -5],\n [-3, -8, 2, 10, 3, -3, 11, -5],\n [6, -9, 1, -5, 8, 1, -1, -12],\n [10, 6, 5, -1, -3, 8, -12, 1],\n [-4, 2, 8, 9, 10, 1, -4, -2],\n [-... | 50579424 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[11, 7, -2, 2, -2, -7, -7, 6],\n [7, -12, -2, 0, 4, 0, -4, -2],\n [-2, -2, 8, 2, 4, -6, 2, 6],\n [2, 0, 2, -8, 2, 2, 10, 3],\n [-2, 4, 4, 2, 12, 6, 2, 4],\n [-7, 0, -6, 2, 6, 2, 6, 4],\n [-7, -4, 2, 10, 2, 6, -6, -6],\n [6, -2, 6, 3, 4, 4, -6, 10]], determine t... | 23931987221 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[6, -7, -1, 2, 2, -10, -9, -8],\n [-7, -7, 4, -5, 6, 7, 11, 8],\n [9, 0, 2, 4, 11, 8, 4, 10],\n [-11, 9, -10, 9, -4, -7, -12, 9],\n [6, -9, 0, 7, 12, -5, 10, -8],\n [-3, 7, 6, -1, -12, -4, 11, 3],\n [4, 5, 1, 4, -12, ... | 64287915 | MATH |
[
{
"content": "What is the value at position (5, 3) of the matrix A^7 where A is:\n[[-12, 9, -12, -1, 9, 2, 5, 2],\n [-6, -1, -3, -11, -11, -7, 7, -7],\n [11, -3, -10, 3, -8, -8, -3, 12],\n [10, 0, 12, 11, -10, 5, 6, -7],\n [7, -12, -3, -3, 12, 9, -12, 6],\n [-2, 0, 4, 12, 7, 5, -9, 2],\n [-11, -7, 9, 10, -4, -2... | -3837777519 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-2, 4, -6, 6, 7, -5, -8, 2],\n [4, -8, 3, -2, 2, 11, -8, 6],\n [-6, 3, 2, 8, -4, 0, 4, -8],\n [6, -2, 8, -12, -1, 3, 0, 6],\n [7, 2, -4, -1, 6, -4, 4, 6],\n [-5, 11, 0, 3, -4, 5, -6, 7],\n [-8, -8, 4, 0, 4, -6, 10, -8],\n [2, 6, -8, 6, 6, 7, -8, -2]], determin... | -1712744499 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[-4, 0, -4, -3, 6, -6, -4, 8],\n [0, -6, 4, 2, 5, -6, 2, 8],\n [-4, 4, 8, 1, -7, 4, 1, 0],\n [-3, 2, 1, 1, -6, 4, 2, -4],\n [6, 5, -7, -6, 6, 2, 0, 12],\n [-6, -6, 4, 4, 2, -2, 1, -2],\n [-4, 2, 1, 2, 0, 1, -6, 8]... | 42239529 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (7, 3) of the result:\nA =\n[[5, -5, 5, -8, -7, -11, 12, 9],\n [11, -9, 6, -9, 3, -12, 3, -12],\n [11, 4, -8, 3, 12, -10, -3, 5],\n [8, 5, 4, -2, -4, -2, -4, 4],\n [7, -8, -1, 5, 12, 12, 3, -4],\n [-5, -7, 4, 1, 8, 11, 1, -9],\n [-5, 9,... | -50279062 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the value at position (1, 2) of the result:\nA =\n[[-12, 9, 11, -6, 4, -5, -1, 12],\n [-11, 4, 9, 7, 1, 10, -10, 6],\n [1, -5, -6, -8, -10, -12, 6, 2],\n [12, -12, -8, 7, -2, 1, 9, 5],\n [7, -4, 2, -2, -8, 2, 11, -11],\n [-1, 12, 10, -6, -11, -5, -4, -8],\n ... | 44628111 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[-6, -5, 2, 0, 0, -4, -11, -4],\n [-5, 3, 8, -7, 8, -6, 7, -2],\n [2, 8, 12, 6, -6, -2, 0, 0],\n [0, -7, 6, -7, 0, 4, 0, 4],\n [0, 8, -6, 0, -7, -4, 7, 3],\n [-4, -6, -2, 4, -4, -8, 6, 10],\n [-11, 7, 0, 0, 7, 6, ... | 404648235 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[2, 0, 2, 8, 0, 1, -1, -5],\n [0, -7, -3, 0, 4, 0, 6, 9],\n [2, -3, -9, 4, -5, 5, -2, 4],\n [8, 0, 4, 6, 2, 6, 5, -1],\n [0, 4, -5, 2, -4, -2, -2, 10],\n [1, 0, 5, 6, -2, 6, -4, -3],\n [-1, 6, -2, 5, -2, -4, 10, -2],... | 10221331070 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-6, 12, 1, 4, -11, -4, 0, -8],\n [-9, 10, 8, -12, -4, 11, 3, 6],\n [-10, -10, -6, 5, 12, 7, -6, 11],\n [3, 8, 11, -9, 0, -3, -11, 6],\n [1, -7, 0, 9, -1, -1, 10, -1],\n [-2, 1, -9, 0, -5, 11, 10, -10],\n [1, 6, 5, -2, 0, 10, -7, 10],\n [5, 7, -12, -11, -6, -8,... | -277589515 | MATH |
[
{
"content": "Find the value at position (2, 7) of the 6th power of the matrix:\n[[-10, -2, 4, 1, 8, 2, 0, -10],\n [-2, 3, -2, 10, -6, -6, -8, 4],\n [4, -2, -5, -7, -2, 0, -2, -6],\n [1, 10, -7, -4, -6, 0, 2, 4],\n [8, -6, -2, -6, -10, 2, -4, 5],\n [2, -6, 0, 0, 2, 4, -10, -4],\n [0, -8, -2, 2, -4, -10, -11, 2]... | 60483428 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[6, -2, 0, 2, -5, 8, -1, 2],\n [-2, -5, -2, -1, -4, -12, -4, 0],\n [0, -2, 0, 3, -1, 0, 3, 8],\n [2, -1, 3, 1, 1, 5, 1, -2],\n [-5, -4, -1, 1, 0, -8, 0, -2],\n [8, -12, 0, 5, -8, -9, -2, -2],\n [-1, -4, 3, 1, 0, -... | 526181455 | MATH |
[
{
"content": "Find the value at position (7, 5) of the 7th power of the matrix:\n[[-2, -2, 0, 0, -2, 0, 4, 6],\n [-2, -3, 4, -2, -3, 6, 5, -2],\n [0, 4, -9, 9, 8, 4, 2, -8],\n [0, -2, 9, -8, -6, -2, 1, 0],\n [-2, -3, 8, -6, 10, -10, -6, 0],\n [0, 6, 4, -2, -10, -11, 6, -10],\n [4, 5, 2, 1, -6, 6, 1, 4],\n [6, -... | -493650270 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (1, 2) of the result:\nA =\n[[4, -7, 7, 12, -7, 2, 4, 9],\n [-10, 6, 10, -11, -4, -4, -6, 12],\n [3, -7, -4, 0, -11, 1, -8, -2],\n [2, -7, -7, 3, 7, -9, -8, -7],\n [0, 1, 11, 0, -3, 4, 11, 5],\n [-6, -9, 11, 9, 8, 3, -3, 8],\n [7, 6, -1... | -713746641 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-1, 4, 2, -3, 9, -3, 6, -4],\n [4, 12, -5, 2, -6, 0, 6, -2],\n [2, -5, -3, 6, -4, 2, -2, 6],\n [-3, 2, 6, -9, -6, -8, 4, 0],\n [9, -6, -4, -6, -9, -7, 8, -3],\n [-3, 0, 2, -8, -7, -5, 7, -1],\n [6, 6, -2, 4, 8, 7, -2, 7],\n [-4, -2, 6... | -28069585827 | MATH |
[
{
"content": "Find the sum of all entries of the 6th power of the matrix:\n[[3, -8, -2, 4, 4, -8, -1, -2],\n [-8, -10, 1, 4, 0, 0, -9, 1],\n [-2, 1, -6, -1, 1, -6, 4, 4],\n [4, 4, -1, 10, 6, 2, 6, 2],\n [4, 0, 1, 6, -9, 8, 4, 6],\n [-8, 0, -6, 2, 8, -9, 8, 0],\n [-1, -9, 4, 6, 4, 8, 10, -10],\n [-2, 1, 4, 2, 6,... | 428481015 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-6, 3, 8, -6, -4, 1, 4, 0],\n [3, -4, 2, -1, 1, 6, 2, -4],\n [8, 2, 11, 2, 12, -7, -8, -1],\n [-6, -1, 2, -2, -4, -2, -6, -4],\n [-4, 1, 12, -4, 12, -4, -6, -2],\n [1, 6, -7, -2, -4, -3, -6, 1],\n [4, 2, -8, -6, -6, -6, -1, -6],\n [0, -4, -1, -4, -2, 1, -6, 12... | 5756780425 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-2, -2, 3, -5, -10, 2, 10, 8],\n [-2, 5, 4, 0, -2, -5, -2, 6],\n [3, 4, 10, 1, 3, 7, -10, -5],\n [-5, 0, 1, -10, -4, -2, -5, 0],\n [-10, -2, 3, -4, -12, 6, -3, -4],\n [2, -5, 7, -2, 6, 12, 1, 0],\n [10, -2, -10, -5, -3, 1, -8, 2],\n [8, 6, -5, 0, -4, 0, 2, 11]... | 43173411524 | MATH |
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