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^7 where A is:\n[[12, 0, 8, -3, -3, 8, -6, 5],\n [0, 5, 2, 2, 2, 2, 8, 3],\n [8, 2, -9, -6, 4, -2, 2, 6],\n [-3, 2, -6, -1, 6, 2, -4, 8],\n [-3, 2, 4, 6, -3, 6, 2, -2],\n [8, 2, -2, 2, 6, -8, 2, -2],\n [-6, 8, 2, -4, 2, 2, 6, 8],\n [5, 3, 6, 8, -2, -2,... | 10374436196 | MATH |
[
{
"content": "Find the sum of all entries of the 6th power of the matrix:\n[[5, 2, 2, -1, -4, 6, -1, 10],\n [-8, 8, 7, -3, 9, -6, 10, -2],\n [-5, 8, -6, 3, 3, 1, 2, 7],\n [-4, 3, 3, -8, -10, 8, 12, 0],\n [-5, 4, -8, -7, -11, 9, 1, 12],\n [-9, -10, -4, 5, -1, -4, 5, 0],\n [1, -3, -10, -6, 5, 3, 4, 12],\n [-7, 12... | 51217923 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-7, 8, -5, 0, -2, 1, 8, 2],\n [8, -10, 3, 2, 6, -2, 2, 2],\n [-5, 3, -8, -2, -4, 0, 2, 5],\n [0, 2, -2, -7, 11, -2, 4, 6],\n [-2, 6, -4, 11, 4, 2, 6, -8],\n [1, -2, 0, -2, 2, 9, -6, 1],\n [8, 2, 2, 4, 6, -6, 0, 0],\n [2, 2, 5, 6, -8, 1, 0, -5]], determine the ... | -24167184 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-6, 2, 7, -4, -2, -4, 0, 10],\n [2, -4, -2, -6, 7, 2, -6, 4],\n [7, -2, 12, 4, -4, -8, 6, 12],\n [-4, -6, 4, 8, 0, 0, -8, -11],\n [-2, 7, -4, 0, -11, -6, -8, 12],\n [-4, 2, -8, 0, -6, -6, -2, -3],\n [0, -6, 6, -8, -8, -2, 2, 4],\n [10, 4, 12, -11, 12, -3, 4, 1... | 326261600625 | MATH |
[
{
"content": "What is the value at position (1, 4) of the matrix A^5 where A is:\n[[0, 10, 9, 4, 8, 3, 4, -12],\n [3, -7, -5, -12, -11, 2, -8, 11],\n [7, 2, 8, -3, -8, -10, -7, 8],\n [2, 5, 1, -3, -9, -2, 7, -6],\n [2, 10, -4, 2, -1, 5, -7, 5],\n [12, 5, 9, 11, -7, 2, 6, -8],\n [-9, 4, 8, -3, -1, -8, -6, -1],\n... | -919302 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[-1, -1, -6, -7, -3, 6, 3, -11],\n [-9, -4, -8, -12, -2, 6, 12, 10],\n [-10, -12, -9, -4, 3, -6, -8, 0],\n [-2, 1, 9, 4, 10, -1, 8, 10],\n [8, 8, 6, -8, 11, -5, -11, 4],\n [-11, 10, -10, 11, 7, 11, 5, 2],\n [-8, 9, 4, 1, -12, 1, -4, -8... | -46630686 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the value at position (8, 2) of the result:\nA =\n[[-3, -1, -8, -3, 11, 0, 6, -6],\n [3, -7, -3, -3, -2, 9, -3, 12],\n [1, 2, -6, 0, -2, -6, -2, 1],\n [4, 3, -12, -4, -4, -3, 6, 2],\n [3, -2, 11, 12, 4, 6, 0, -7],\n [2, 3, -9, -5, 12, -6, 4, 3],\n [-11, 4, 1... | -2589806 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[-7, 1, 3, 0, -8, -2, -1, 2],\n [1, -12, 4, 2, 2, 2, -6, -4],\n [3, 4, -8, -4, -3, -10, 1, 6],\n [0, 2, -4, -9, 6, 12, 2, 2],\n [-8, 2, -3, 6, 6, -8, -1, -3],\n [-2, 2, -10, 12, -8, 6, -4, 9],\n... | 30224664407 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-7, 8, -2, -6, 1, -2, -6, 3],\n [8, -2, 5, 10, -4, 8, 0, 3],\n [-2, 5, -6, 1, 0, 2, 3, -2],\n [-6, 10, 1, 5, -4, 4, 4, 2],\n [1, -4, 0, -4, -3, 0, 4, -10],\n [-2, 8, 2, 4, 0, -1, 10, 2],\n [-6, 0, 3, 4, 4, 10, 11, 2],\n [3, 3, -2, 2, -10, 2, 2, 6]], determine ... | 21179740542 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (4, 5) of the result:\nA =\n[[10, -8, 11, -7, 9, -6, 10, -9],\n [3, -3, 2, 0, -5, 9, 0, 11],\n [-6, 4, -9, -6, 3, 12, -11, 8],\n [12, 12, 9, 10, 12, 1, 1, -5],\n [-7, 9, -6, -6, -11, 12, -9, 0],\n [-3, -4, 2, -1, -3, 6, 8, -8],\n [-6, 7... | -23724926 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -6, 10, 0, -4, 4, 6, -9],\n [-6, -3, -4, 4, 0, -8, 0, 4],\n [10, -4, 10, 4, 3, 3, 6, 8],\n [0, 4, 4, 7, 8, 2, 10, 1],\n [-4, 0, 3, 8, -7, -4, 1, -4],\n [4, -8, 3, 2, -4, 6, 1, 5],\n [6, 0, 6... | 1866653418 | MATH |
[
{
"content": "Find the sum of all entries of the 5th power of the matrix:\n[[-1, -2, 1, 1, -8, -2, -2, -1],\n [-2, -3, -6, 10, -2, 4, 5, -6],\n [1, -6, 4, 4, 8, 3, 0, 1],\n [1, 10, 4, 1, -8, -6, -8, 6],\n [-8, -2, 8, -8, -3, -6, 0, 1],\n [-2, 4, 3, -6, -6, 6, -4, 8],\n [-2, 5, 0, -8, 0, -4, 10, -6],\n [-1, -6, ... | -3178391 | MATH |
[
{
"content": "Find the value at position (7, 3) of the 7th power of the matrix:\n[[-6, -2, -5, 8, 4, -10, -7, 0],\n [-2, -6, 8, 10, 0, 6, -4, 6],\n [-5, 8, 10, -4, -2, -6, 6, 4],\n [8, 10, -4, -11, 4, 10, 8, -1],\n [4, 0, -2, 4, 0, 2, 8, -6],\n [-10, 6, -6, 10, 2, 6, -2, -6],\n [-7, -4, 6, 8, 8, -2, 7, -9],\n [... | 92329090 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[-10, 2, 4, 5, -5, 10, 0, -3],\n [-10, 7, 1, 0, -10, 0, 7, 11],\n [12, 10, -4, 12, 3, 10, 10, -5],\n [-1, -1, 6, 11, 4, 2, 9, 5],\n [-6, 0, 6, 3, -2, -8, -11, -12],\n [3, -8, 12, 12, -6, -4, -9, 6],\n [7, 2, -6, 11, 5, -8, 8, 12],\n [0... | 20022377 | MATH |
[
{
"content": "What is the value at position (3, 6) of the matrix A^7 where A is:\n[[7, 8, -2, -5, 0, -6, 8, 0],\n [8, -8, -5, -4, -2, 0, -2, -2],\n [-2, -5, 10, 0, 11, -2, 1, 4],\n [-5, -4, 0, 11, 0, 7, -8, -2],\n [0, -2, 11, 0, 12, 8, -2, -4],\n [-6, 0, -2, 7, 8, -12, -10, 4],\n [8, -2, 1, -8, -2, -10, -2, -8]... | 1252155206 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 0, -4, 6, -1, -1, -9, 0],\n [0, 5, 2, -6, 3, -2, 4, 5],\n [-4, 2, 9, 10, -4, -2, 1, -2],\n [6, -6, 10, -7, -8, -7, -6, -1],\n [-1, 3, -4, -8, -4, 0, -4, 1],\n [-1, -2, -2, -7, 0, 10, -3, -2]... | 11924694361 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[-6, 5, -3, -11, 0, -7, 10, -4],\n [7, -5, -3, 3, 2, 0, 5, -7],\n [7, 11, -4, 5, -6, 10, 11, -8],\n [-2, 0, -10, -12, -9, 6, 5, -7],\n [10, -3, -6, -1, -5, 0, 5, 1],\n [-2, -3, -7, 0, 9, -3, -1, -12],\n [5, 0, 12, 11, -9, -7, 5, -8],\n... | 290804336 | MATH |
[
{
"content": "Find the sum of all entries of the 7th power of the matrix:\n[[12, 1, -5, -1, -6, 11, -4, -1],\n [-9, -8, -4, -6, 1, 7, 9, 4],\n [-12, 12, 2, 11, 2, -12, 2, -11],\n [-9, 4, 3, 5, 8, 3, -5, -7],\n [9, 7, -11, 6, 0, 9, 9, 8],\n [-7, -7, 0, -12, 9, 8, 11, -4],\n [9, -1, -1, -9, 6, 3, -1, -12],\n [10,... | -1111554376 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[7, -3, -3, -5, 7, 2, -12, 2],\n [11, 4, 0, -1, -10, 10, 6, 11],\n [-8, -10, 8, -8, 11, -4, -7, 3],\n [-3, 3, -10, 5, -2, 6, 12, 10],\n [2, -2, 12, 9, 11, -3, -4, -10],\n [10, -4, 5, -1, 10, 8, 11, 3],\n [-9, -12, 0, ... | 37363522904 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[6, 4, 2, -1, 1, -4, -2, 6],\n [4, 2, 0, -2, 2, 1, -4, -4],\n [2, 0, -10, 2, -2, 10, -5, 0],\n [-1, -2, 2, -1, 10, 2, 2, -2],\n [1, 2, -2, 10, 3, 0, -8, -2],\n [-4, 1, 10, 2, 0, 11, -7, 3],\n [-2, -4, -5, 2, -8, -7, 11, 0],\n [6, -4, 0... | 149870263 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[-5, -8, 8, 6, 2, -2, 0, -2],\n [-8, 9, -5, 0, -1, 1, -5, -8],\n [8, -5, -10, 0, -4, 4, 8, -2],\n [6, 0, 0, 7, 1, 0, 2, -1],\n [2, -1, -4, 1, 9, 0, 2, 2],\n [-2, 1, 4, 0, 0, 5, -12, -10],\n [0, ... | 1524186392 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[9, -7, 11, -5, 12, 4, -3, 11],\n [-8, 6, -2, -3, -10, 9, 11, -3],\n [-11, -4, -8, 8, 4, -7, -2, -8],\n [-6, -6, -9, 8, -3, 11, 5, -12],\n [1, -7, -2, 1, 7, -10, 3, 3],\n [-6, -5, -9, -1, -1, -3, -1, -2],\n [-2, 2, -7, -2, -11, 11, 9, -4],\n [-2, 3, 0, 0, 9, 9,... | -9488607 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[12, -4, 6, 4, 8, 8, 0, -8],\n [-4, 2, -11, -1, 2, 0, 7, 0],\n [6, -11, 3, 4, 2, 1, 10, 0],\n [4, -1, 4, 7, -12, 8, 4, 6],\n [8, 2, 2, -12, -10, 4, 2, 0],\n [8, 0, 1, 8, 4, -2, 3, 4],\n [0, 7, 10, 4, 2, 3, 7, 2],\n [-8, 0, 0, 6, 0, 4, 2, 4]], determine the valu... | -52341430 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-8, -2, 8, 2, -6, -6, -2, 2],\n [-2, 1, -6, 10, -4, 6, -6, -4],\n [8, -6, -12, -2, 9, 0, 0, 0],\n [2, 10, -2, -12, -2, 2, 0, -3],\n [-6, -4, 9, -2, -10, 1, -10, 1],\n [-6, 6, 0, 2, 1, -10, -4, 3],\n [-2, -6, 0, 0, -10, -4, 5, -5],\n [2, -4, 0, -3, 1, 3, -5, -7... | 511495 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[-6, -11, 11, 0, -3, 3, -4, -5],\n [12, 2, 9, -6, 9, 10, 6, -9],\n [-4, 6, -11, -6, 9, 6, -7, 2],\n [-6, -7, -12, 1, -12, 12, -7, 5],\n [4, -11, -5, 8, 10, 10, -11, 3],\n [-9, -11, 10, -8, 4, -11, 9, 1],\n [7, -6, 2,... | 1377719611 | MATH |
[
{
"content": "What is the value at position (3, 8) of the matrix A^6 where A is:\n[[-6, 4, 2, 0, -2, 5, 0, 6],\n [4, 8, 0, -8, 0, -6, 0, 5],\n [2, 0, -5, 8, 5, 3, -6, -2],\n [0, -8, 8, -1, 0, 4, 0, 0],\n [-2, 0, 5, 0, 8, 4, -2, 0],\n [5, -6, 3, 4, 4, -8, -4, 10],\n [0, 0, -6, 0, -2, -4, -12, -6],\n [6, 5, -2, 0... | 9450240 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-1, -3, -5, 7, 6, -6, 1, -9],\n [-12, -5, -8, -5, -5, 8, 11, -6],\n [6, -9, 10, 7, -7, -1, 5, -1],\n [5, -10, -3, -6, -10, 6, 0, -9],\n [-3, -7, -12, -7, -5, 2, -5, 9],\n [-7, 6, 1, -11, -6, -5, -3, 0],\n [9, 8, 7, -12, -4, -3, 7, -11],\n [7, -2, -8, 5, -6, -1... | -2156858 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-5, 7, -8, -10, -8, -4, 3, 1],\n [5, -6, 2, -5, -10, -2, 7, 5],\n [2, -3, 12, -10, 2, 12, 10, -7],\n [-2, -2, 6, 10, -10, 0, 9, -5],\n [8, -2, -2, 0, -10, -7, 11, -3],\n [6, -1, 1, -2, 8, 12, -3, -10],\n [0, 5, 0, 11, 1, 1, -6, -1],\n [12, -9, 3, 6, -3, 3, -8,... | -1841690 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[-12, -8, 4, -5, -10, 2, 4, -7],\n [-8, 2, -6, -4, 5, -4, -8, 0],\n [4, -6, -9, 8, 8, 2, 0, 2],\n [-5, -4, 8, 8, 10, -2, 3, 4],\n [-10, 5, 8, 10, 8, -8, 2, 10],\n [2, -4, 2, -2, -8, 1, -7, 3],\n [4, -8, 0, 3, 2, -7, -... | 142675533 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[-5, 1, -10, 3, 5, 11, 4, 5],\n [-3, 4, 3, 8, 11, -11, 7, -9],\n [-2, -6, 4, 12, 6, -7, -3, 8],\n [-9, 12, 12, -12, -6, 12, 8, 3],\n [4, 11, -8, 9, 10, -3, -6, 0],\n [-6, 2, 4, 10, -10, -8, -3, -8],\n [11, -6, -6, 9, ... | 155141367477 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the value at position (6, 5) of the result:\nA =\n[[9, 2, -8, -4, 6, 2, 4, -2],\n [2, -10, -6, -8, 1, -10, -4, 2],\n [-8, -6, -10, 6, 3, -2, -6, -1],\n [-4, -8, 6, -11, 4, 6, -3, -2],\n [6, 1, 3, 4, 7, 8, 4, 4],\n [2, -10, -2, 6, 8, -3, 8, -1],\n [4, -4, -6,... | 1302249 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[5, 12, -3, -5, 10, -5, -2, -1],\n [12, 1, -4, 2, -5, 4, -1, -6],\n [-3, -4, -1, -6, 6, -6, 7, 6],\n [-5, 2, -6, -10, 2, 5, -8, 0],\n [10, -5, 6, 2, -2, 5, 2, -3],\n [-5, 4, -6, 5, 5, -9, -5, 1],\n [-2, -1, 7, -8, 2, -5, -5, 8],\n [-1, -6, 6, 0, -3, 1, 8, -6]],... | -1598816185 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (4, 7) of the result:\nA =\n[[12, -5, 1, -10, -6, 8, -2, -8],\n [-5, -6, 6, -7, -1, -2, 5, -11],\n [1, 6, 2, -1, -4, -4, 6, 6],\n [-10, -7, -1, -8, 1, 6, 0, -6],\n [-6, -1, -4, 1, 11, -10, 0, 1],\n [8, -2, -4, 6, -10, 8, 6, 2],\n [-2, 5... | -1795293042 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-4, -10, 5, 3, 8, -12, 8, 7],\n [3, -1, -7, 8, -4, 8, 0, 11],\n [-1, 0, 5, 6, 6, 6, -7, 3],\n [-6, -6, 10, 6, 3, 4, 9, 6],\n [3, 3, 6, 2, -10, 2, 12, 3],\n [7, -8, 6, -3, 0, 2, -1, 4],\n [2, -9, 2, 4, -2, 10, 10, 2],\n [7, 8, -6, 0, 9, 0, 7, 7]], determine the... | 21787019 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the value at position (4, 8) of the result:\nA =\n[[-11, -3, 5, 7, -8, 7, 6, -11],\n [-9, 3, 8, 3, 4, 2, 0, -12],\n [9, -8, 7, -12, -1, 10, 2, -9],\n [6, 3, 10, 5, 4, -2, 7, 0],\n [11, 9, -4, 4, 4, -8, 9, -5],\n [-10, -7, -10, -5, -1, -9, -11, 12],\n [-3, 2,... | 1464712 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[-7, -10, 7, 3, -11, 10, -11, 2],\n [-3, -12, 9, 7, 2, 11, -12, 12],\n [9, 3, 5, 11, -8, 8, -8, 10],\n [10, -3, 10, -1, -3, -11, 11, -12],\n [3, 5, -6, -9, -3, -3, 12, -2],\n [12, -10, 1, 0, 6, ... | 41130625637 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-5, 12, -3, 2, -12, -1, -1, -2],\n [12, -7, -2, -4, -4, -2, 2, -5],\n [-3, -2, -6, -2, 6, 8, 2, 10],\n [2, -4, -2, -10, -2, -6, 0, -1],\n [-12, -4, 6, -2, 4, -3, -6, -10],\n [-1, -2, 8, -6, -3, 8, -3, -3],\n [-1, 2, 2, 0, -6, -3, -12, 2],\n [-2, -5, 10, -1, -1... | -20229482677 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 0, -4, -8, -5, 5, -10, -7],\n [-2, 10, 1, 11, 6, -6, 11, -3],\n [2, -7, 7, -7, 3, -4, 6, 5],\n [-8, 3, -6, 6, -8, 7, -2, 10],\n [5, -6, 5, -10, -8, 10, 0, 3],\n [9, -1, -6, 9, 0, -12, 2, 8],... | 89759236 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[-8, -4, -12, 10, -2, -6, 9, 7],\n [12, 1, -10, -2, 4, 5, 6, 5],\n [-7, 2, -6, -8, -8, -6, 9, -1],\n [-5, 12, 5, 5, 4, 10, -2, 2],\n [7, 12, -7, -1, 10, -6, -5, -9],\n [-10, -10, -3, 11, 2, 0, 6, -5],\n [5, -8, 8, -6... | 131321964 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[-7, -4, 6, 2, 6, -6, 0, 0],\n [-4, 7, 4, 8, -2, 0, 0, -4],\n [6, 4, -1, -4, -4, -2, 7, 1],\n [2, 8, -4, -11, 4, -8, -1, 2],\n [6, -2, -4, 4, 2, -1, 6, 4],\n [-6, 0, -2, -8, -1, 5, -11, 2],\n [0, 0, 7, -1, 6, -11, -6,... | 40086023 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-3, -1, -5, 10, 1, -11, 4, -7],\n [-5, -12, -10, 2, 4, 12, -6, 1],\n [11, 12, -10, 5, 9, -8, 7, 9],\n [2, -7, -10, 5, 12, 11, 7, 9],\n [-10, -5, 6, 5, 2, 10, 1, 3],\n [-10, 12, 2, 6, -5, -11, 12, 4],\n [-1, 6, -2, 5, 0, 1, -1, 2],\n [10, 8, -5, -11, -5, 10, -8... | 1467222 | MATH |
[
{
"content": "Find the sum of all entries of the 7th power of the matrix:\n[[-3, 6, 2, -2, -6, -4, -6, 2],\n [6, 5, 6, 0, -8, 10, 1, 10],\n [2, 6, 6, -11, 5, 0, -7, 0],\n [-2, 0, -11, -9, 0, -6, 4, 2],\n [-6, -8, 5, 0, 12, -6, 4, 8],\n [-4, 10, 0, -6, -6, -7, 7, -6],\n [-6, 1, -7, 4, 4, 7, -8, 2],\n [2, 10, 0, ... | -5252844465 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (8, 4) of the result:\nA =\n[[-3, -3, 6, -6, 4, -2, -2, 2],\n [-3, -1, 6, 4, 0, 6, 0, -4],\n [6, 6, -1, -2, 9, -8, 2, 10],\n [-6, 4, -2, 8, 0, -2, 5, -1],\n [4, 0, 9, 0, 5, 12, 4, -4],\n [-2, 6, -8, -2, 12, -12, 0, 10],\n [-2, 0, 2, 5, ... | 1254531136 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-9, 11, 12, -6, 7, 10, 9, -10],\n [-3, -10, -12, 1, 0, -8, -5, -1],\n [-7, 11, 10, -11, 11, -9, -8, -2],\n [0, -5, 8, -8, -7, 2, 10, 12],\n [3, -2, -6, -7, -1, -9, 1, -2],\n [-1, -11, -2, 0, -2, -4, 8, 3],\n [-8, -1, -10, 3, 6, 4, -2, 8],\n [6, 5, -4, 0, -7, -... | -15650728 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[-4, 0, 4, -9, 0, 6, -2, 4],\n [0, 1, 9, 4, 6, 0, -8, 4],\n [4, 9, 3, 0, 0, 0, 1, 8],\n [-9, 4, 0, 0, 2, -2, -4, 1],\n [0, 6, 0, 2, -11, -1, 1, 4],\n [6, 0, 0, -2, -1, -6, 4, 4],\n [-2, -8, 1, -4, 1, 4, 1, -8],\n [4, ... | 808745643 | MATH |
[
{
"content": "What is the value at position (2, 4) of the matrix A^6 where A is:\n[[-12, 6, 2, 8, -5, -4, 0, -1],\n [-4, 7, 11, -2, -8, 6, 8, 5],\n [-2, -2, -7, -12, 9, 8, -4, -6],\n [-7, 10, -3, -8, -12, 2, 12, -8],\n [7, -7, -8, 4, 5, -9, 11, 8],\n [10, -11, -5, -8, -9, 12, 9, 1],\n [-9, -5, -10, 1, 5, 10, -1... | -25998138 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[-5, -10, -11, -9, 5, -1, 5, 8],\n [-3, 8, -5, 12, 5, 4, 6, -7],\n [1, -8, -5, -5, 5, -4, 1, 1],\n [7, 1, 4, -11, 1, 9, 8, -1],\n [10, 12, 3, 9, -7, 5, -6, -11],\n [0, 10, -5, -1, -12, -4, -5, -4],\n [-8, 0, 1, -9, 4,... | 11883282686 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[10, -3, -11, 1, -11, 5, -12, 0],\n [-7, 9, 4, 4, 9, -2, -7, 7],\n [-10, 1, 12, -7, 4, -10, 4, 6],\n [5, -8, 2, -10, 10, -5, -6, 5],\n [-3, 10, -3, 6, 10, -12, -11, -12],\n [-4, 2, 5, 5, 9, -6, 1, 5],\n [7, 6, -8, -4... | 34357475277 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[8, 9, 3, -2, -11, 12, -5, 10],\n [12, 8, -8, -2, -2, -4, -2, -8],\n [-4, -12, -3, -5, 6, 3, 0, 11],\n [-8, 5, -4, -9, 1, -6, -1, 11],\n [-6, -2, 9, 2, -6, 7, 4, -8],\n [-5, -3, -7, 8, -11, -8, -3, -10],\n [0, 3, 2, -11, -10, 7, 5, 7],\n [7, 2, 9, -8, 10, -2, 1... | 61350734 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -6, 10, -11, 2, -1, 3, 3],\n [3, 6, -10, 9, 7, -9, -12, 9],\n [-5, 11, 2, 11, 8, 9, -8, 7],\n [-1, 7, 7, -9, 9, 2, -7, -8],\n [-2, 1, -2, -4, 11, -3, -7, -2],\n [-4, -8, -3, 7, 1, -7, -9, 1... | 32173896 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[5, -10, -12, -12, -6, -3, -1, -5],\n [9, 10, 4, 1, 4, 12, 8, 10],\n [-7, 7, 4, 7, -5, 0, 3, -1],\n [4, 5, -5, 5, -2, 0, -1, 2],\n [12, -10, -10, -7, -10, -4, -2, -5],\n [-9, 9, 11, 7, 2, -8, -6, -5],\n [-6, -5, -9, -... | 1253332803 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[5, 6, -10, 6, -4, 4, 4, -2],\n [6, -4, 5, -3, -2, -4, -6, -4],\n [-10, 5, -3, 9, 3, 0, 4, 2],\n [6, -3, 9, 7, 7, -7, 1, 2],\n [-4, -2, 3, 7, 4, 10, -6, 4],\n [4, -4, 0, -7, 10, -7, -6, 0],\n [4, -6, 4, 1, -6, -6, -4... | 84355661934 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[2, -10, 7, 6, 2, 6, -5, 10],\n [0, 10, -3, -11, -2, 12, 9, 6],\n [-4, -4, -7, -3, 9, 11, -5, 2],\n [-7, -6, 7, 4, -9, -5, 0, 11],\n [1, 5, 10, 4, 5, 1, 11, -2],\n [-3, 0, 7, 3, 1, -10, 5, -7],\n [7, -10, 6, -10, ... | 15554884 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[-5, -6, -11, -11, -9, -4, 12, 1],\n [11, -2, 8, -6, 12, 6, -9, -11],\n [12, 10, 9, 8, 10, 6, 8, 5],\n [8, -6, -2, -3, -2, 10, -4, -10],\n [11, -8, 10, -12, -12, 7, -8, 6],\n [-7, -10, 8, 0, 4, -10, 10, -10],\n [8, 10... | 108993463 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[-12, -6, 7, -1, -5, -5, 11, 9],\n [-4, 1, 7, -8, 7, 8, -11, 8],\n [-3, 11, -4, -6, 10, 9, 5, -1],\n [-2, -3, 0, -4, 3, 8, 9, 4],\n [-8, -7, -3, -2, -11, -6, 1, -9],\n [-8, 6, 8, 7, -3, -7, -11, -10],\n [2, -3, 4, -6... | 91897227 | MATH |
[
{
"content": "Find the value at position (7, 2) of the 6th power of the matrix:\n[[10, 2, -6, -6, -4, 2, -5, -6],\n [2, -1, 3, -7, 5, -2, -4, -6],\n [-6, 3, -5, -4, 2, 0, 8, -5],\n [-6, -7, -4, 0, 2, 0, 2, -6],\n [-4, 5, 2, 2, -5, -2, 6, 2],\n [2, -2, 0, 0, -2, -8, 7, -1],\n [-5, -4, 8, 2, 6, 7, -9, 2],\n [-6, ... | 7893021 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[-11, 2, 5, 5, -1, 8, 4, -4],\n [2, 1, 10, -4, 0, -10, -2, 0],\n [5, 10, 0, -1, 0, 6, 2, -9],\n [5, -4, -1, 4, -2, -6, 8, 5],\n [-1, 0, 0, -2, -5, -2, -1, 0],\n [8, -10, 6, -6, -2, -11, -3, -4],... | 75067172 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the value at position (6, 7) of the result:\nA =\n[[6, -10, 6, -2, -9, 4, 4, -6],\n [-8, 6, 12, 8, 6, -4, 4, -4],\n [1, -8, 9, -11, 11, 2, 3, 6],\n [-12, 10, -1, 6, 7, 2, -8, -12],\n [-2, -4, -6, -11, 4, 3, 3, 1],\n [-11, 6, -10, -5, 8, 12, 6, 3],\n [9, -9, ... | -1406156 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[-10, 8, 9, 0, -5, 4, -7, -6],\n [8, 12, -6, 3, 10, 3, 6, 0],\n [9, -6, -3, 2, 2, 8, -2, 2],\n [0, 3, 2, -4, 7, -2, 6, 9],\n [-5, 10, 2, 7, -11, 8, 4, 4],\n [4, 3, 8, -2, 8, 4, 0, 0],\n [-7, 6, -2, 6, 4, 0, 7, -4],\n ... | 59273419818 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[11, -11, 12, 5, 0, 8, 3, -7],\n [3, -9, 11, -3, 6, -2, -8, 5],\n [-10, -5, -2, 8, 6, 8, 12, -10],\n [-1, 2, 10, 11, 3, -8, 6, -7],\n [-1, 6, -4, 5, -10, 10, 1, 11],\n [8, -8, -8, -9, 12, 9, 3, 0],\n [-5, 11, 8, 3, 12, -11, -5, -10],\n [10, -4, -2, 8, 11, 7, -1... | -10946039 | MATH |
[
{
"content": "Find the value at position (1, 5) of the 6th power of the matrix:\n[[9, -5, 3, -3, -11, 3, -9, 6],\n [-4, -10, -2, -5, -6, -12, -5, 12],\n [11, 4, -2, -6, -4, 1, -8, 5],\n [11, 12, 10, 0, -8, -5, 2, 9],\n [-9, -12, -7, 11, 6, -1, -6, 0],\n [-6, -4, -12, 8, 11, 0, 6, 8],\n [-12, 12, 7, 8, 6, 5, 10,... | 15633133 | MATH |
[
{
"content": "Find the value at position (3, 1) of the 5th power of the matrix:\n[[6, 0, 4, 10, 5, -2, 7, 7],\n [0, 11, -2, 7, 6, -3, -10, 8],\n [-7, -6, 8, 10, 7, -8, 9, -4],\n [9, -3, 1, -2, 4, -2, -6, -2],\n [0, 6, -7, -11, 1, 3, -6, -12],\n [-11, -4, 12, 10, 5, 8, 7, 5],\n [5, -3, -5, 8, -5, -11, 5, -2],\n ... | 1060511 | MATH |
[
{
"content": "What is the value at position (5, 3) of the matrix A^6 where A is:\n[[-12, 6, 6, -2, 10, 6, 0, 5],\n [6, 4, -2, 0, 4, 7, -6, 11],\n [6, -2, -7, 5, -5, 0, 0, -4],\n [-2, 0, 5, 0, -8, -3, 2, 2],\n [10, 4, -5, -8, -7, -8, 10, 0],\n [6, 7, 0, -3, -8, -11, -6, 8],\n [0, -6, 0, 2, 10, -6, -6, 2],\n [5, ... | 95800578 | 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, 4, 12, 1, 0, 1, 3],\n [8, 2, 12, 6, 9, -2, -1, -2],\n [10, -8, -5, -7, 3, -1, -7, 0],\n [-6, -5, -1, -11, 10, -4, 0, 4],\n [0, 3, -12, -6, 0, 1, 8, 4],\n [3, 2, 4, -11, 12, -1, -10, -4],... | 7581718738 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[-3, -3, 10, -10, 1, 6, 8, 8],\n [-4, 0, -4, 8, -1, 1, -8, -7],\n [0, 0, 11, -7, 1, -2, 0, -1],\n [3, -7, -4, 4, 7, 3, -1, 5],\n [-4, -10, -3, -2, -11, -5, 7, -2],\n [5, 7, -6, 1, -6, -12, -1, -12],\n [-10, -11, -10,... | 228913916 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[-6, -7, -6, 10, 6, 9, 9, 12],\n [-12, 0, -6, -12, -3, 0, -9, -6],\n [-7, -7, 8, -2, 10, -4, 9, -6],\n [-4, 10, -7, 6, 1, -12, 3, -4],\n [10, 2, 6, -3, 3, 12, -10, 6],\n [0, 1, -6, -11, 1, 10, 10, 4],\n [0, -11, -8, -9, -10, 1, -2, -5],\n [10, -4, 3, -10, -3, -... | -2236311 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[-4, -6, -2, -2, -8, 2, 2, -4],\n [-6, -7, -3, -3, 9, 2, 4, 3],\n [-2, -3, 1, -4, 0, -2, -1, 8],\n [-2, -3, -4, 2, -2, 4, -1, 0],\n [-8, 9, 0, -2, 12, 6, -4, 0],\n [2, 2, -2, 4, 6, 1, 0, -11],\n [2, 4, -1, -1, -4, 0, ... | 25298701 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[-11, -9, 0, 2, -2, -2, 2, -11],\n [-9, 8, 8, -5, -2, 2, -2, 2],\n [0, 8, 3, 0, 6, -2, -4, -4],\n [2, -5, 0, 1, -4, 2, 2, 4],\n [-2, -2, 6, -4, 3, -9, 7, 5],\n [-2, 2, -2, 2, -9, 11, 6, 5],\n [2... | 51788804 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the value at position (1, 1) of the result:\nA =\n[[7, 4, 10, 6, -11, 1, -5, 12],\n [10, 9, -7, -4, -8, -8, 5, 9],\n [1, -1, -1, 9, -7, -9, 2, 10],\n [2, 12, 4, -10, -3, 12, 8, 9],\n [-5, -4, 11, -10, -12, -2, 0, -1],\n [8, -6, -11, -12, 7, -10, -9, 4],\n [5... | 478804 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[-11, -1, -11, -7, 9, 6, -1, 12],\n [0, 4, -1, -10, 11, -5, 3, -9],\n [11, 0, -5, -12, -10, -12, 2, 5],\n [7, -10, 2, 9, -8, 8, -3, -6],\n [10, 12, -5, -10, 5, 4, 3, 9],\n [0, -9, -10, -2, -11, 5, -9, 4],\n [-7, -3, ... | 259103865 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[1, 0, 0, -4, 7, -2, -8, -8],\n [0, -11, 5, -8, -1, -2, 1, -3],\n [0, 5, -5, 0, 2, 6, -4, -6],\n [-4, -8, 0, 8, 0, 3, -4, 0],\n [7, -1, 2, 0, -7, 4, 4, -2],\n [-2, -2, 6, 3, 4, -11, 0, -3],\n [-8, 1, -4, -4, 4, 0,... | -4279332 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[7, 2, 1, 2, -4, 6, -1, 3],\n [2, -8, -2, 4, 6, -2, 3, 10],\n [1, -2, -3, 0, 4, 3, 2, -11],\n [2, 4, 0, -12, 0, -2, 2, -2],\n [-4, 6, 4, 0, 10, 4, -8, 6],\n [6, -2, 3, -2, 4, 12, 8, -12],\n [-1, 3, 2, 2, -8, 8, 10, 2]... | 118301135 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[12, 6, 0, -1, -2, -6, -4, 1],\n [6, 0, 2, 0, 8, 1, 2, -4],\n [0, 2, -11, -2, 1, 0, 8, 0],\n [-1, 0, -2, -7, -8, -1, 4, 8],\n [-2, 8, 1, -8, 6, -10, -7, -6],\n [-6, 1, 0, -1, -10, -12, 4, 6],\n [-4, 2, 8, 4, -7, 4, 5... | 90047190501 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 11, 8, -11, 8, -1, -3, 12],\n [4, 5, 3, -3, -5, 8, 12, 9],\n [0, 3, -5, -1, 4, 3, -4, 12],\n [6, 4, 11, -5, -1, -4, -7, 12],\n [-3, -4, -9, -2, 8, 9, -7, 5],\n [-9, -1, -4, 2, 10, -4, -7, -2... | 4855397557 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[-7, -2, 7, 1, -11, -1, 3, -10],\n [8, 3, -3, 7, -8, 0, -1, -12],\n [7, -2, 6, 2, 5, 3, -6, -3],\n [12, 3, 4, -6, -2, 4, -8, -12],\n [-10, 3, 11, 2, -9, -1, -12, 4],\n [11, 2, 11, 7, 7, -3, -2, 5],\n [-11, -7, 3, ... | -6154887 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[-8, -10, 0, 10, 6, 4, 0, 2],\n [-10, 12, 6, -2, 6, 1, -4, 8],\n [0, 6, 12, 4, 8, -5, -1, -10],\n [10, -2, 4, -3, -4, -2, 2, 7],\n [6, 6, 8, -4, 0, 2, -8, 10],\n [4, 1, -5, -2, 2, 11, 0, -4],\n [0, -4, -1, 2, -8, 0, ... | 103355509 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[8, -8, 8, -8, -4, -6, -2, 4],\n [-8, 2, 1, 4, -8, 2, 4, 4],\n [8, 1, -12, 0, 6, -4, 1, -5],\n [-8, 4, 0, 0, -7, -4, 4, -4],\n [-4, -8, 6, -7, -7, 6, 8, -5],\n [-6, 2, -4, -4, 6, 1, -2, 6],\n [-2, 4, 1, 4, 8, -2, -8, 0],\n [4, 4, -5, -4, -5, 6, 0, 10]], determi... | 79307306 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[-10, -10, -10, -10, 5, -7, 1, -10],\n [-12, -3, 0, -4, 9, 9, 12, -11],\n [-3, 12, -1, 6, -10, 6, -12, 2],\n [10, 0, -6, -11, 9, 7, -2, 10],\n [3, 1, 10, 2, 7, 6, -6, -4],\n [-9, -7, 10, -3, -10, 8, -12, -7],\n [-8, 10, 2, 12, -2, 7, 1... | 76742013 | MATH |
[
{
"content": "What is the value at position (4, 8) of the matrix A^7 where A is:\n[[1, -1, 1, -6, 0, -5, 6, -2],\n [-1, 4, 6, 8, -2, 2, -1, 1],\n [1, 6, -7, -10, -2, -9, 6, 6],\n [-6, 8, -10, -8, 0, -2, 3, -8],\n [0, -2, -2, 0, -11, 1, 5, 9],\n [-5, 2, -9, -2, 1, -3, -2, -9],\n [6, -1, 6, 3, 5, -2, 3, 4],\n [-2... | -2372268097 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the value at position (4, 3) of the result:\nA =\n[[5, -3, -8, -5, -2, 2, 12, -10],\n [-3, 6, -4, -3, -9, -4, -2, -9],\n [-8, -4, -12, -3, 0, 8, 4, 0],\n [-5, -3, -3, -7, 1, -2, 5, 0],\n [-2, -9, 0, 1, 7, 0, -4, 2],\n [2, -4, 8, -2, 0, -4, 5, 4],\n [12, -2, ... | -2073298 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[-8, -6, 8, -1, 2, -10, 2, 0],\n [-6, 11, -9, -3, -6, -2, -10, -4],\n [8, -9, 8, -9, 2, -6, 4, 1],\n [-1, -3, -9, -5, -1, 8, -4, -4],\n [2, -6, 2, -1, 1, 0, -4, -2],\n [-10, -2, -6, 8, 0, 7, -1, 2],\n [2, -10, 4, -4, -4, -1, 0, 4],\n [... | -2850209 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[-6, -5, -7, 1, 7, -6, -10, -11],\n [9, 5, 9, -10, 1, 5, 0, -5],\n [-9, 2, -1, 1, 7, -6, 11, -1],\n [-4, -3, -5, 7, -11, 3, 8, 10],\n [5, 7, 9, 11, -3, -7, -7, 9],\n [7, 0, 6, 4, -11, 5, -6, 1],\n [9, 2, -5, -4, 8, -2, -10, 7],\n [1, -5, -10, 5, 10, 1, 7, -5]],... | -46562090 | MATH |
[
{
"content": "Find the sum of all entries of the 5th power of the matrix:\n[[4, -2, 0, 4, -4, 8, -6, 1],\n [-2, -4, -6, -4, 9, -1, -6, -3],\n [0, -6, 5, -5, -4, 0, -8, 4],\n [4, -4, -5, -6, 4, -8, -6, -2],\n [-4, 9, -4, 4, 1, 0, 7, 6],\n [8, -1, 0, -8, 0, 10, -10, 2],\n [-6, -6, -8, -6, 7, -10, -3, -2],\n [1, -... | -35083173 | MATH |
[
{
"content": "Find the sum of all entries of the 6th power of the matrix:\n[[10, -2, 4, 4, -4, 2, 6, -2],\n [-2, 4, 3, -2, -1, 2, 4, 1],\n [4, 3, 2, -7, -6, -2, 8, 6],\n [4, -2, -7, -5, 8, 0, -8, -6],\n [-4, -1, -6, 8, -6, 4, -4, 8],\n [2, 2, -2, 0, 4, 8, -10, 3],\n [6, 4, 8, -8, -4, -10, 0, 0],\n [-2, 1, 6, -6... | 90836704 | MATH |
[
{
"content": "Find the sum of all entries of the 5th power of the matrix:\n[[4, -10, 6, -2, -4, 11, 8, -4],\n [-10, 8, 4, -2, 4, -5, -8, -3],\n [6, 4, 3, -1, -8, 8, 3, -4],\n [-2, -2, -1, 12, 7, -2, 8, 4],\n [-4, 4, -8, 7, -4, 6, -2, -3],\n [11, -5, 8, -2, 6, -10, 0, -9],\n [8, -8, 3, 8, -2, 0, -7, 2],\n [-4, -... | 7115618 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[7, 4, 0, 1, 2, -6, 6, -2],\n [4, -12, 9, 4, 8, -6, -3, 10],\n [0, 9, 6, 2, -4, -6, 6, -5],\n [1, 4, 2, -9, 8, -4, 8, -6],\n [2, 8, -4, 8, -9, -3, 0, 2],\n [-6, -6, -6, -4, -3, -11, -4, -5],\n [6, -3, 6, 8, 0, -4, 9, -6],\n [-2, 10, -5, -6, 2, -5, -6, -5]], det... | 63677916389 | MATH |
[
{
"content": "Find the sum of all entries of the 7th power of the matrix:\n[[-12, -8, 11, 6, 0, -2, 9, -2],\n [-11, -4, -11, 8, 6, -1, -4, -4],\n [10, -3, -8, -4, 10, 5, -3, 4],\n [-3, 1, -9, -3, 11, 9, 5, -8],\n [-4, -7, 3, 9, 10, 3, -2, 8],\n [2, 6, -10, 3, 8, 7, -8, -4],\n [-8, -9, 0, 7, 4, 7, -1, 7],\n [12,... | 585604571 | MATH |
[
{
"content": "Find the value at position (1, 7) of the 5th power of the matrix:\n[[-2, -6, -12, -4, -8, 3, -2, 0],\n [-6, -5, 7, -3, 2, 0, 1, 0],\n [-12, 7, 10, -2, 1, 1, -2, -5],\n [-4, -3, -2, 5, 4, -6, -2, -1],\n [-8, 2, 1, 4, 12, 0, 0, 4],\n [3, 0, 1, -6, 0, 4, 2, -6],\n [-2, 1, -2, -2, 0, 2, 10, -1],\n [0,... | 44014 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[-12, 8, 4, -2, 11, -11, 12, -4],\n [6, -7, 12, -6, -9, -10, -11, -3],\n [-3, 4, 3, -12, -1, 7, 7, 12],\n [-3, -12, 3, -2, -9, -10, 12, 0],\n [8, 2, 12, -3, -7, -2, 12, -12],\n [7, -9, -3, 9, 2, -12, 8, 2],\n [-10, -... | 2755931452 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-11, -1, 8, -2, 4, -3, 8, 2],\n [-1, -12, -2, -6, -3, 4, 0, -4],\n [8, -2, -3, 8, 5, -9, 8, -4],\n [-2, -6, 8, 5, 3, 1, -4, -10],\n [4, -3, 5, 3, 12, -2, 0, 0],\n [-3, 4, -9, 1, -2, -3, 3, -9],\n [8, 0, 8, -4, 0, 3, -3, -2],\n [2, -4, -4, -10, 0, -9, -2, -9]],... | -523365123 | MATH |
[
{
"content": "Find the sum of all entries of the 5th power of the matrix:\n[[6, -3, 0, -5, -6, 6, -1, -4],\n [-3, 2, 6, -1, 4, -3, 2, -2],\n [0, 6, -11, 0, -9, -1, -2, 4],\n [-5, -1, 0, -1, 2, -3, -6, 8],\n [-6, 4, -9, 2, 7, 4, 2, 0],\n [6, -3, -1, -3, 4, -4, 5, -5],\n [-1, 2, -2, -6, 2, 5, 7, 8],\n [-4, -2, 4,... | 1626879 | MATH |
[
{
"content": "Find the sum of all entries of the 7th power of the matrix:\n[[2, -3, 10, -9, -7, -5, 11, -6],\n [-1, 5, 5, 6, -9, -12, -8, -6],\n [-2, 8, 10, 8, -2, -3, 11, -6],\n [3, -12, -12, -1, 3, -8, 1, 5],\n [-4, -11, -1, 12, -3, -11, 2, -9],\n [6, 9, -9, 12, -4, 0, -3, 1],\n [12, -10, -10, 7, 3, -4, 1, 9]... | 8784008154 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-9, 1, 7, 11, 7, -6, -9, 4],\n [-4, -9, -10, 6, -4, -5, -6, -6],\n [-9, 6, -1, 7, -7, -1, 7, -9],\n [-11, 2, 10, -7, 5, 8, 9, -8],\n [-9, -2, -2, -4, -10, -2, -11, -4],\n [11, 12, -3, -2, -10, 4, -2, 4],\n [6, -9, -11, 11, 1, 2, -10, 7],\n [9, 0, 9, 0, 5, 9, 7... | 69882791 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[-6, 0, 7, 0, 10, -6, -2, 1],\n [0, -12, -2, 1, -8, 4, 7, 6],\n [7, -2, 0, 10, -4, 0, 10, -1],\n [0, 1, 10, 10, -6, -8, 8, 7],\n [10, -8, -4, -6, 3, -3, 2, -4],\n [-6, 4, 0, -8, -3, 10, 1, 1],\n [-2, 7, 10, 8, 2, 1, 10, 2],\n [1, 6, -1... | 1870379191 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[10, 6, -3, -2, -5, -7, -2, 3],\n [-9, -11, 0, -6, 4, 10, 0, -3],\n [0, -3, -6, -3, 3, -10, -9, -9],\n [-9, 3, -4, -7, -3, 12, -9, 10],\n [-1, -3, -1, 12, 6, 6, 9, 11],\n [-12, -9, 0, -5, 9, 1, 3, -11],\n [-5, 0, -12, -1, 4, -6, 3, 1],\n [-3, -10, -1, -5, 3, 12... | 1353678267 | MATH |
[
{
"content": "Find the sum of all entries of the 5th power of the matrix:\n[[4, -4, -6, 4, -5, -2, 0, 1],\n [-4, 9, -9, -7, 8, 0, 10, -10],\n [-6, -9, 3, 4, -4, 1, 2, -8],\n [4, -7, 4, -8, 4, -3, 0, 4],\n [-5, 8, -4, 4, -8, 10, 4, 4],\n [-2, 0, 1, -3, 10, -10, -8, 3],\n [0, 10, 2, 0, 4, -8, -10, 2],\n [1, -10, ... | -6353777 | MATH |
[
{
"content": "What is the value at position (1, 4) of the matrix A^7 where A is:\n[[2, 8, -2, -6, -2, 6, 4, 2],\n [8, -4, -2, 1, 2, 2, 6, -12],\n [-2, -2, -12, 4, 8, 2, -8, -9],\n [-6, 1, 4, -1, 1, 0, 0, -6],\n [-2, 2, 8, 1, -8, -1, 3, 2],\n [6, 2, 2, 0, -1, -11, -4, 2],\n [4, 6, -8, 0, 3, -4, 1, -4],\n [2, -12... | 13652462 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[1, -9, 8, -1, 7, 1, 3, -8],\n [3, -9, -10, -12, -9, -4, -12, 3],\n [10, -10, 11, -7, 0, 4, 2, 8],\n [-1, -5, 3, -10, -9, -6, 2, -2],\n [3, 9, 1, 10, 0, -4, 12, 5],\n [-10, 7, 9, -8, 9, 11, -11, 9],\n [12, 8, 4, 3, 11, 7, 11, 0],\n [7, -2, -5, 12, 8, -8, -11, 1... | 366397 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[-9, -10, -11, -10, 3, 7, -4, -7],\n [2, -8, -4, 11, -7, -10, 10, 0],\n [9, 2, -2, 3, 2, 11, -7, 1],\n [-2, 7, -3, 3, -1, -6, -6, 11],\n [5, 2, -7, 6, -5, 7, 2, -9],\n [5, 0, 9, 9, -12, -5, 6, 4],\n [-3, -12, -12, 8,... | 8210728557 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[4, -9, -6, 4, 11, 3, 1, 3],\n [-11, 11, 2, -2, 0, -9, 11, -12],\n [2, -1, 8, -4, -6, -10, 3, -9],\n [10, 1, 9, 0, 7, 6, -11, -3],\n [12, 6, 2, -6, 2, 4, 11, 3],\n [4, 3, 5, 4, -9, -11, 4, 4],\n [-11, 9, -11, 2, 3, -2, -11, -5],\n [8, 11, -1, 1, 1, 11, -1, -11]... | 47695034 | MATH |
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