messages listlengths 1 1 | ground_truth stringlengths 5 12 | dataset stringclasses 1
value |
|---|---|---|
[
{
"content": "Find the value at position (6, 2) of the 7th power of the matrix:\n[[-7, -8, 7, 2, 5, -9, -1, 4],\n [-8, 6, 0, -5, 6, -2, -6, -2],\n [7, 0, 10, 5, -6, 4, -3, 6],\n [2, -5, 5, 2, 0, -5, -6, -2],\n [5, 6, -6, 0, 2, 4, -10, 9],\n [-9, -2, 4, -5, 4, 10, 4, -6],\n [-1, -6, -3, -6, -10, 4, 9, -2],\n [4,... | -504964194 | MATH |
[
{
"content": "Find the sum of all entries of the 5th power of the matrix:\n[[10, 0, -9, -5, 8, 6, 3, 3],\n [0, -10, 6, -4, -7, -7, 4, 2],\n [-9, 6, -11, -2, -6, -2, 6, 6],\n [-5, -4, -2, -8, -5, 0, 2, 5],\n [8, -7, -6, -5, 6, 10, 6, -4],\n [6, -7, -2, 0, 10, 9, 1, 1],\n [3, 4, 6, 2, 6, 1, 7, -4],\n [3, 2, 6, 5,... | 21243389 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[11, 6, 3, -6, 6, -1, 2, 10],\n [1, -2, -3, -2, -7, -11, -2, 6],\n [-7, 1, 7, -7, 4, -3, -12, -10],\n [-5, -5, 7, 9, 2, 11, -6, -2],\n [-6, -9, 12, -1, -7, 1, -1, -2],\n [6, 8, -8, 1, 8, 11, 3, 12],\n [0, 12, 9, 9, 12, 7, 9, -9],\n [-2, 4, -6, 1, -2, 9, -4, 10]... | 19445961 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[0, 10, 5, -2, 2, 12, 12, 9],\n [6, -12, -9, 1, 1, -10, 4, -10],\n [3, 1, 7, 0, 2, 1, 11, 12],\n [6, -7, -3, 2, 8, 9, 7, -7],\n [10, 12, -3, -6, 9, 4, 5, 4],\n [-4, -3, -3, 12, -6, 3, 5, -7],\n [7, -12, -12, -1, 8, -1... | 1352076373 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[-10, -2, 8, 8, -8, 8, -2, 3],\n [-2, 12, 0, 0, -11, 6, -6, -4],\n [8, 0, 3, -5, 6, 0, -6, 0],\n [8, 0, -5, -1, 0, -8, 2, -2],\n [-8, -11, 6, 0, -7, -1, 4, -4],\n [8, 6, 0, -8, -1, -8, 3, 2],\n [-2, -6, -6, 2, 4, 3, -... | 3468224159 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[7, -6, 8, -1, 9, 5, -10, -6],\n [-2, 5, -1, -7, -8, -12, -1, -2],\n [-9, 5, -9, 4, -11, 11, 9, -11],\n [-1, -7, -3, 12, 10, 12, 8, 10],\n [3, 1, -6, 6, 10, 4, -4, 0],\n [9, -8, 10, -8, -3, 8, -3, -6],\n [2, -6, 2, -10, 6, -3, 2, -10],\n [-7, -1, 2, -7, 0, 6, -... | -777964821 | MATH |
[
{
"content": "Find the value at position (8, 1) of the 5th power of the matrix:\n[[-5, 10, 7, 2, -9, 6, 8, -10],\n [0, -5, 10, 3, 0, -10, 3, -4],\n [1, 0, 8, 12, -6, 2, -6, -7],\n [-11, -4, 9, 11, 4, -8, -1, -12],\n [-3, -2, 3, 1, -5, 11, 4, 12],\n [5, -1, 12, 4, 1, 3, 1, -4],\n [-9, 12, 10, -2, -7, 2, -8, -2],... | -1822707 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[11, 2, -4, -5, 7, -12, -9, 1],\n [12, -11, 3, -10, -5, -7, 3, 11],\n [3, -6, 0, 0, -8, 12, 7, 9],\n [5, 2, 5, -11, -3, 10, 0, 5],\n [2, -1, 2, 0, 5, 2, 12, 10],\n [-2, 6, -10, -6, 8, 1, 1, 9],\n [0, -1, 11, -4, -12, 6, -2, 10],\n [9, 10, 11, 9, 6, 5, -1, 10]],... | 700425349 | MATH |
[
{
"content": "Find the value at position (7, 8) of the 6th power of the matrix:\n[[-12, 0, 5, 6, 1, -2, -6, -6],\n [0, 3, -8, 4, 8, 10, 4, -2],\n [5, -8, 0, -2, 2, 0, 8, 8],\n [6, 4, -2, 8, 5, -8, 0, -2],\n [1, 8, 2, 5, -2, 9, 3, 2],\n [-2, 10, 0, -8, 9, 12, -2, 2],\n [-6, 4, 8, 0, 3, -2, -5, 1],\n [-6, -2, 8, ... | 19862587 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[0, 11, 10, -2, -4, 0, -6, 4],\n [11, 7, -2, 4, -2, -3, 4, -1],\n [10, -2, -4, -3, 4, 0, -2, 0],\n [-2, 4, -3, -11, 0, -10, 0, 2],\n [-4, -2, 4, 0, 5, 8, 6, 0],\n [0, -3, 0, -10, 8, 0, 7, -2],\n [-6, 4, -2, 0, 6, 7, 6... | 1104883571 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[-11, 2, -2, -2, 6, 6, -6, 10],\n [2, -7, 2, -8, -1, 2, -2, -4],\n [-2, 2, 12, 1, -2, 8, 2, -7],\n [-2, -8, 1, -4, 6, -1, -7, -2],\n [6, -1, -2, 6, 7, -10, 0, -6],\n [6, 2, 8, -1, -10, 0, -3, -2],\n [-6, -2, 2, -7, 0,... | 33314599651 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[0, -6, 1, -2, 4, 2, 2, -2],\n [-6, 9, 6, 10, 2, -6, -8, 6],\n [1, 6, 6, -2, 2, 9, 4, 6],\n [-2, 10, -2, 0, -10, 10, 6, -6],\n [4, 2, 2, -10, -10, 6, -2, 0],\n [2, -6, 9, 10, 6, 2, 6, 2],\n [2, -8, 4, 6, -2, 6, -10, 8],\n [-2, 6, 6, -6... | 502307421 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[12, 3, 2, 9, -5, 6, -5, 5],\n [3, 7, 6, -3, 4, 0, 0, -6],\n [-3, -11, -9, 12, -7, 11, 5, 10],\n [-7, 12, 10, 4, 1, 11, -2, 6],\n [-11, -10, -2, -7, 1, 6, 3, 8],\n [9, 11, -6, -5, 6, 7, 3, 9],\n [-6, -4, 0, -12, -5, ... | 770508388 | MATH |
[
{
"content": "Find the sum of all entries of the 5th power of the matrix:\n[[-7, -6, -1, 10, -4, -2, -3, 8],\n [-12, 5, -9, -8, -4, 4, -10, 3],\n [-8, 3, -10, 7, 2, -10, 7, 1],\n [3, 4, 11, 7, 10, 5, 5, 9],\n [1, 5, 2, 2, -7, 2, 5, -9],\n [10, -5, 2, -10, 2, 0, -4, -11],\n [11, -5, 7, 4, 0, -12, -11, 2],\n [-1,... | 3118253 | MATH |
[
{
"content": "Find the sum of all entries of the 7th power of the matrix:\n[[12, -3, -4, -8, 10, -8, -2, -10],\n [-3, 12, 7, -1, 0, 2, 9, -2],\n [-4, 7, 5, 6, -5, -2, 6, 2],\n [-8, -1, 6, -6, -2, -5, 6, -9],\n [10, 0, -5, -2, 3, 9, -8, -10],\n [-8, 2, -2, -5, 9, -11, 3, -7],\n [-2, 9, 6, 6, -8, 3, -7, 6],\n [-1... | -58060021279 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[-9, 5, -2, -12, -3, -4, 10, -9],\n [-7, 3, -11, 10, 5, -3, 11, 11],\n [4, 0, 11, 5, 9, 0, 4, -8],\n [-2, -6, -3, 4, 2, 5, 10, 9],\n [6, -11, -9, -10, -6, 11, 5, -3],\n [-6, -5, -7, 9, -12, -9, 1, 4],\n [7, 5, -2, 8,... | 571156904 | MATH |
[
{
"content": "Find the sum of all entries of the 6th power of the matrix:\n[[-5, -3, 8, 4, 6, 0, 4, -2],\n [-3, 9, 4, 2, -10, 7, -7, -2],\n [8, 4, -3, -5, 0, -4, 6, 0],\n [4, 2, -5, 10, 11, 4, 4, 4],\n [6, -10, 0, 11, 6, 10, 1, -6],\n [0, 7, -4, 4, 10, -7, -4, -4],\n [4, -7, 6, 4, 1, -4, 9, 4],\n [-2, -2, 0, 4,... | 752012201 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[-6, 0, 2, 0, -4, 0, -11, 1],\n [0, -9, 3, -6, 2, -9, 8, -10],\n [2, 3, 4, 0, -6, -2, -2, -1],\n [0, -6, 0, 2, 9, -8, 4, -2],\n [-4, 2, -6, 9, 10, 0, 2, 6],\n [0, -9, -2, -8, 0, 10, 2, -10],\n [-11, 8, -2, 4, 2, 2, 10, -4],\n [1, -10, -1, -2, 6, -10, -4, -4]], ... | -16803370 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[-4, 10, -6, -10, 5, -2, -6, -4],\n [-12, 1, 7, -7, -6, -3, -6, -11],\n [-9, 8, 4, -12, -3, 6, 2, -3],\n [6, -1, 11, 3, -4, 2, 4, 1],\n [5, -11, -9, 5, -6, 0, 2, 12],\n [10, 9, -12, -2, -3, 12, -8, 3],\n [-2, 8, -7, -4, 0, 11, -5, 1],\n [11, -12, 4, 11, -8, 12,... | 443892681 | MATH |
[
{
"content": "Find the value at position (4, 8) of the 7th power of the matrix:\n[[11, -4, -4, 4, 8, 5, 5, 1],\n [-4, -2, 6, 6, 8, 1, 10, -8],\n [-4, 6, 5, -4, 2, 8, -9, 0],\n [4, 6, -4, 1, 1, -2, -3, 6],\n [8, 8, 2, 1, -1, 2, -6, 6],\n [5, 1, 8, -2, 2, 12, -1, -3],\n [5, 10, -9, -3, -6, -1, 6, 1],\n [1, -8, 0,... | 802868065 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[10, -4, 4, 5, -8, 3, 4, -6],\n [-4, 1, -6, 5, 0, -1, -6, -4],\n [4, -6, 9, 3, 8, -2, 2, -5],\n [5, 5, 3, -6, -2, 0, -6, -2],\n [-8, 0, 8, -2, 7, -3, 3, 0],\n [3, -1, -2, 0, -3, -1, 4, -5],\n [4... | 1208972084 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[4, 1, -6, 7, 0, 0, -4, 4],\n [1, -5, -5, 0, 4, 2, -2, -9],\n [-6, -5, -7, 4, 0, 0, -1, -3],\n [7, 0, 4, 6, -4, -7, 4, 2],\n [0, 4, 0, -4, -8, 6, 1, 2],\n [0, 2, 0, -7, 6, 8, -6, -7],\n [-4, -2, -1, 4, 1, -6, 8, 11],\n [4, -9, -3, 2, 2, -7, 11, 1]], determine t... | 238961 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (1, 7) of the result:\nA =\n[[10, 1, -3, -1, -7, -1, 10, 1],\n [-11, -4, -3, 4, 4, -10, 6, -12],\n [-1, -6, -9, -3, 0, -11, -3, 8],\n [9, 12, -9, 5, -8, 6, -11, -1],\n [4, -3, -11, -7, -5, 6, -2, 12],\n [-1, -4, -11, -5, -2, 8, -9, -3],... | 90661007 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[-6, 7, 11, 10, -6, -4, -12, -7],\n [-7, 9, -1, 9, -1, -3, 10, -7],\n [4, 6, 5, -7, 11, 6, -3, 11],\n [-5, 8, 11, -7, 8, 12, -6, 11],\n [-12, 5, 11, 12, 7, -1, 3, -3],\n [-3, 1, 12, 7, -3, -3, 12, -2],\n [10, -11, 12,... | 123168373341 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[7, -8, -2, 1, -2, 8, 0, 5],\n [-8, -1, 0, 2, 4, 5, -4, -6],\n [-2, 0, -12, 4, 6, -6, 5, -8],\n [1, 2, 4, -8, -2, 10, 4, -2],\n [-2, 4, 6, -2, 8, 6, 0, 8],\n [8, 5, -6, 10, 6, 6, -5, -3],\n [0, -4, 5, 4, 0, -5, -8, 6],\n [5, -6, -8, -2... | 8400399 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[-5, 2, 6, -8, 2, -2, -2, 2],\n [2, 0, -5, -2, 0, -2, -3, 3],\n [6, -5, -5, -10, 1, -1, -3, 10],\n [-8, -2, -10, -2, 2, -2, -1, -1],\n [2, 0, 1, 2, -6, 2, -2, 1],\n [-2, -2, -1, -2, 2, -3, 6, -6],\n [-2, -3, -3, -1, -2, 6, -8, 5],\n [2, 3, 10, -1, 1, -6, 5, -11... | 100362365 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[0, -6, -6, -4, 4, -4, 5, 1],\n [-6, -9, 7, -3, -2, 2, 3, -2],\n [-6, 7, -3, 4, 4, -4, -9, 0],\n [-4, -3, 4, 6, -6, -2, 2, -3],\n [4, -2, 4, -6, 12, 9, 0, -6],\n [-4, 2, -4, -2, 9, 5, -6, -2],\n [5, 3, -9, 2, 0, -6, ... | 992098600 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[-3, -8, -1, 0, -4, 6, 0, 4],\n [-8, 9, -5, 7, 2, 0, 7, 1],\n [-1, -5, -9, -2, 10, -4, 8, 1],\n [0, 7, -2, 2, 0, 1, 6, -2],\n [-4, 2, 10, 0, 3, 2, 6, 5],\n [6, 0, -4, 1, 2, -10, 6, 6],\n [0, 7, 8, 6, 6, 6, -1, 9],\n [4, 1, 1, -2, 5, 6, 9, 7]], determine the sum... | 1131512111 | MATH |
[
{
"content": "Find the value at position (1, 6) of the 7th power of the matrix:\n[[2, 10, 3, -8, 8, 2, 4, 5],\n [-8, 0, 6, 0, 5, 1, -9, -9],\n [7, 7, 6, 0, -1, -6, 12, -1],\n [8, -9, -11, -11, -8, 10, -3, -3],\n [-4, 0, -6, -8, -3, -3, -7, 6],\n [8, -5, -12, 4, -6, 1, 8, 8],\n [4, -4, 4, -8, 12, 7, -5, -7],\n [... | -94260816 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[-12, -2, 4, -9, -1, -3, -7, 12],\n [-12, -6, 8, 3, 11, 1, 10, 7],\n [7, -7, 9, 12, -8, 11, 8, 5],\n [2, -7, 12, 6, -12, -12, 0, -10],\n [-3, 8, -10, -4, -5, -10, 12, 0],\n [-7, 0, 10, 7, 7, -1, 0, -11],\n [8, 11,... | 15618416908 | MATH |
[
{
"content": "Find the sum of all entries of the 5th power of the matrix:\n[[11, -6, 9, -3, -3, 7, -4, 4],\n [2, -11, -9, 6, 4, -8, -6, 5],\n [8, 9, -6, 4, -6, -9, -5, 0],\n [-9, -7, 12, -8, -1, -9, 11, -4],\n [-9, 6, 11, 1, -8, 5, -3, 12],\n [6, -1, 5, 4, 11, -2, -10, 10],\n [4, -12, 2, -4, 2, 11, -10, 9],\n [... | -2556562 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[-12, -3, 2, -6, 9, 5, 3, 1],\n [5, -6, 4, 5, -1, -5, 9, -11],\n [-6, -9, 5, -7, -4, -4, 1, -5],\n [6, -10, 5, -8, 1, -9, -6, 7],\n [12, -1, -11, -2, 1, 9, 10, 3],\n [7, -7, 10, -9, 2, 11, 12, -... | 44128855 | MATH |
[
{
"content": "Find the value at position (5, 6) of the 6th power of the matrix:\n[[4, -9, -6, -4, 6, 10, -6, 10],\n [-11, -7, 5, -7, 0, 6, -11, -1],\n [2, 1, -7, 5, -8, 5, -10, -10],\n [9, 9, -3, 6, -10, -1, 3, 4],\n [-6, 0, 11, -11, -9, -3, -6, 11],\n [4, 7, -7, 6, -8, -3, -4, 0],\n [6, 8, 11, -7, -9, 11, -10,... | -6433786 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 12, -5, 0, -9, 1, 1, 0],\n [-7, 4, -9, -5, 4, -10, 4, -4],\n [-11, 12, 0, 7, -11, 7, -2, 9],\n [2, -2, 10, -10, -10, -1, 11, -8],\n [7, -6, -6, 0, -4, 12, 8, 0],\n [-1, 0, 11, -3, -12, 12, ... | 51996731 | MATH |
[
{
"content": "Find the value at position (7, 7) of the 6th power of the matrix:\n[[-2, 0, -6, 0, -11, -7, -4, 7],\n [12, -11, 5, 3, 12, -1, -6, -6],\n [4, 0, -2, -7, 10, 1, -7, -7],\n [-11, 9, 7, 12, 2, 4, -5, -8],\n [4, 7, -12, 9, 5, 2, -8, -6],\n [5, -7, 9, 8, -8, 6, -3, 2],\n [-3, 3, -1, 5, 10, -12, 3, 9],\n... | -36146487 | MATH |
[
{
"content": "What is the value at position (4, 2) of the matrix A^7 where A is:\n[[10, 8, -6, 0, 7, 11, 0, -6],\n [-3, 2, 8, -7, -8, 10, -11, 8],\n [2, 3, 6, -4, 9, 6, -6, -9],\n [-10, 11, 7, -2, -12, -7, -2, -12],\n [8, -6, -7, 1, -11, -9, -2, 2],\n [5, -12, -10, -10, -6, -12, 12, -2],\n [-7, 7, -10, 6, -11, ... | -770986893 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-9, 9, 8, 4, 2, -7, 3, 4],\n [-10, -3, -8, 1, 8, 0, -7, -1],\n [-5, -8, 2, 3, -12, 3, -8, -10],\n [7, 2, 0, 11, 3, 10, -2, 8],\n [-11, 9, -7, -7, 1, 12, -2, -5],\n [-5, -12, 8, -6, -7, 8, -5, 6],\n [9, 8, 11, 7, -5, 1, 5, 12],\n [3, -... | 5425582014 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 6, -6, 10, -8, 8, 0, 3],\n [6, -7, 8, -8, 6, 10, -1, 8],\n [-6, 8, 11, -2, 1, 6, -6, 1],\n [10, -8, -2, -6, 2, -10, -2, -6],\n [-8, 6, 1, 2, -12, 2, 3, -8],\n [8, 10, 6, -10, 2, -7, 0, -4],\... | 128032761245 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[7, 6, -7, 6, -4, 0, 2, 0],\n [6, 9, 5, 1, 3, -4, 2, 0],\n [-7, 5, -9, 3, -7, -4, -3, -2],\n [6, 1, 3, 2, 5, -8, -2, -8],\n [-4, 3, -7, 5, -8, -7, -3, -4],\n [0, -4, -4, -8, -7, -3, 4, 0],\n [2, 2, -3, -2, -3, 4, -12, 0],\n [0, 0, -2, -8, -4, 0, 0, 5]], determi... | 48832140 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[8, -9, 0, -12, 11, -10, 3, 9],\n [-9, 12, 10, 12, 3, 6, -12, -8],\n [6, 9, 11, -2, 0, 7, -8, 8],\n [-9, -9, -9, -9, 7, 8, 5, 5],\n [3, -4, 5, 9, -11, 8, -9, -1],\n [-6, 2, -6, 9, 8, 4, 3, 6],\n [-4, 1, 4, -8, -11, 7, 3, 1],\n [1, -12, -10, -6, 2, 6, 7, -11]], ... | 2000801548 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[6, -4, 6, -8, 5, 3, -9, -1],\n [-6, 1, 10, -1, -10, -8, 4, -3],\n [-3, -2, 4, -8, 0, -3, -4, 4],\n [-12, -9, -9, 5, -4, 12, 5, 1],\n [12, 2, -7, 11, -3, 2, -9, 5],\n [5, 12, 4, -1, -6, 3, -2, 1],\n [-10, 6, 5, -3, -7, 0, -3, 5],\n [7,... | 48305788 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[1, -10, 6, -8, 2, -6, 0, 4],\n [-10, 9, -4, 6, -4, 1, -7, -10],\n [6, -4, -10, 9, -8, -6, 1, 0],\n [-8, 6, 9, 0, 2, 0, -10, 0],\n [2, -4, -8, 2, -4, -4, -4, 7],\n [-6, 1, -6, 0, -4, -3, -4, 4],\n [0, -7, 1, -10, -4,... | 3581913225 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[-2, -1, -2, 0, 1, -6, -4, 3],\n [-1, -11, 7, 2, -4, -6, 5, -4],\n [-2, 7, 8, 6, -4, -4, 0, 8],\n [0, 2, 6, 7, 0, 0, 0, -8],\n [1, -4, -4, 0, 10, 0, 2, 7],\n [-6, -6, -4, 0, 0, -8, 0, -5],\n [-4, 5, 0, 0, 2, 0, -8, -2],\n [3, -4, 8, -8... | -11931268 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-2, 5, -4, -3, 7, 8, 2, 8],\n [5, -6, -10, -1, -10, 4, -5, -6],\n [-4, -10, 1, 1, -6, -4, 10, -3],\n [-3, -1, 1, 4, 4, -6, 6, 8],\n [7, -10, -6, 4, -10, 3, 2, -2],\n [8, 4, -4, -6, 3, 12, 1, -1],\n [2, -5, 10, 6, 2, 1, 7, -9],\n [8, -6, -3, 8, -2, -1, -9, -10]... | 203844508 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[-3, 8, 2, 0, -3, 0, 8, 1],\n [8, -6, -6, 0, -2, -6, 0, 0],\n [2, -6, -8, -6, 8, -2, -6, -8],\n [0, 0, -6, 3, 2, 7, -8, 8],\n [-3, -2, 8, 2, -10, 0, 8, -4],\n [0, -6, -2, 7, 0, 4, 0, -1],\n [8, 0, -6, -8, 8, 0, -10, ... | 138933985 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[-7, 10, 8, 12, -12, 8, -3, -7],\n [10, -1, -9, 0, 4, -5, 7, -10],\n [-1, -6, -1, -11, 11, 1, 9, 10],\n [-8, -4, 8, -2, -8, -10, 4, -11],\n [11, -12, -6, 1, -8, 6, -2, 10],\n [12, -11, -5, -4, -10, -11, -6, -8],\n [8, -8, 7, 0, 8, 7, -... | 518532258 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[-12, 0, 0, -8, 4, 0, -3, 4],\n [0, 12, 3, 0, 1, 2, -3, 0],\n [0, 3, 12, -2, 7, -4, 9, 8],\n [-8, 0, -2, 9, -2, 3, 8, 4],\n [4, 1, 7, -2, -1, 2, 0, -4],\n [0, 2, -4, 3, 2, 2, 2, -4],\n [-3, -3, 9, 8, 0, 2, 2, 1],\n [... | 767404309 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[4, 5, -6, -9, -8, 10, 3, -10],\n [5, 10, 8, 1, 2, 4, -12, 12],\n [8, 4, 10, 12, -2, 4, 1, 7],\n [6, 8, -6, 11, 0, 5, 10, 1],\n [-12, -6, -5, 5, -4, -12, 9, 4],\n [6, -7, -10, 11, -8, -11, 7, 12],\n [-9, -3, -3, 1... | -159389096 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[4, 8, 5, -2, -9, 3, 4, -4],\n [-7, 11, 7, 12, -11, -4, 8, -7],\n [-10, 7, -7, -6, -12, 10, -12, -8],\n [-7, 0, -11, 2, 2, 0, 12, 1],\n [9, -6, 1, 11, -3, 4, 1, -5],\n [-9, 3, 11, 0, 9, 12, 7, 5],\n [1, 5, -8, -4, -10, -5, 7, 9],\n [-3, 9, 6, 8, -10, -2, -2, 4]... | 11549176240 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[3, -6, -9, 10, 6, -1, 2, -2],\n [-8, -8, 2, 5, -2, -1, -11, 7],\n [2, 7, -9, 9, 5, -7, 10, 6],\n [-2, 11, -11, -5, -2, -8, 5, 10],\n [5, 1, 9, -3, -10, -4, -10, -2],\n [-1, -1, -10, 8, -6, 1, 11, -2],\n [-6, 12, 8, -3, -2, 2, 6, 3],\n [9, 8, 7, -1, 5, 10, 0, -... | 10737534949 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[-9, 4, -8, -2, 6, 8, -4, -4],\n [4, 5, -10, -8, 5, -2, 1, 5],\n [-8, -10, 9, -5, -4, 5, 0, -2],\n [-2, -8, -5, 2, 2, 8, 2, -2],\n [6, 5, -4, 2, 6, 2, 2, 0],\n [8, -2, 5, 8, 2, -11, -8, 6],\n [-4, 1, 0, 2, 2, -8, 5, 4],\n [-4, 5, -2, -... | -3381417 | MATH |
[
{
"content": "What is the value at position (4, 5) of the matrix A^6 where A is:\n[[-2, 9, -3, -10, 7, -3, 5, 1],\n [5, 11, -5, -3, 9, 0, 8, -5],\n [-9, -9, -8, -12, 4, -11, -5, -6],\n [2, 12, -8, -11, -6, -5, -6, -6],\n [1, 8, 5, -7, -9, -3, 5, -1],\n [3, 12, -6, -7, -8, -10, -1, 2],\n [-3, 7, 6, 3, -2, -5, -1... | 138598802 | MATH |
[
{
"content": "What is the value at position (6, 7) of the matrix A^7 where A is:\n[[3, 6, 4, -2, 0, -1, -3, 7],\n [6, 1, -3, 0, 6, -6, 0, -2],\n [4, -3, -3, -3, 2, 2, 4, 0],\n [-2, 0, -3, -3, 4, -1, 0, -6],\n [0, 6, 2, 4, -11, -2, 2, -4],\n [-1, -6, 2, -1, -2, 2, -10, -3],\n [-3, 0, 4, 0, 2, -10, 9, -12],\n [7,... | -831115619 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[7, -12, 2, 2, 1, -5, 10, 2],\n [-12, -4, 10, 0, -10, -3, 2, -3],\n [2, 10, 7, 3, 8, -4, 6, -1],\n [2, 0, 3, 9, 0, 1, -4, -6],\n [1, -10, 8, 0, -7, 0, -2, 2],\n [-5, -3, -4, 1, 0, -12, 3, 4],\n [10, 2, 6, -4, -2, 3, ... | 29854309011 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[-12, 6, 8, -2, 6, 1, -2, -4],\n [6, -4, 1, 4, -6, 0, 3, -4],\n [8, 1, -2, 2, -4, -6, 9, 0],\n [-2, 4, 2, -12, 9, 9, -8, 0],\n [6, -6, -4, 9, -7, -2, 4, 0],\n [1, 0, -6, 9, -2, 11, -4, 2],\n [-2, 3, 9, -8, 4, -4, ... | 60966242 | MATH |
[
{
"content": "Find the sum of all entries of the 6th power of the matrix:\n[[11, -1, 4, -11, 0, 5, 2, -5],\n [2, -12, 7, -3, -1, -8, -4, 10],\n [-5, 3, 1, 12, 0, 10, 8, 0],\n [-8, 3, -2, 9, -8, 0, -2, 12],\n [6, -10, 2, -6, -6, -7, -10, 0],\n [-6, -8, 10, 5, 9, -5, 4, 7],\n [-12, 1, 4, -3, -1, 3, 1, 3],\n [-5, ... | 381110770 | MATH |
[
{
"content": "What is the value at position (8, 5) of the matrix A^5 where A is:\n[[3, 6, 11, 11, -5, -7, -7, 8],\n [-4, -9, -1, -1, 10, 4, 2, -4],\n [-6, -3, 3, -1, 12, -6, 5, 2],\n [-7, -1, -2, 7, -10, -11, -7, 11],\n [9, 12, -8, 5, 3, -5, 12, 7],\n [9, -2, -3, 11, 12, -1, 8, -7],\n [7, -8, 10, -4, 3, 9, 1, 9... | -545850 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[-2, 9, -5, -12, 9, -1, -11, 5],\n [-6, 4, 9, 10, 1, 11, -6, 9],\n [12, -10, -7, 7, -11, 4, -1, -1],\n [4, -3, -10, 7, 5, 0, -1, 4],\n [-9, 10, -3, -2, -7, -7, -4, 2],\n [-11, -9, -8, 4, -5, -5, 9, -1],\n [8, -5, 6, -... | 52048102 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -2, 8, -1, 6, 2, -4, -8],\n [-2, 10, -1, 8, -4, -2, -3, 5],\n [8, -1, 12, -4, 4, 2, 3, -9],\n [-1, 8, -4, -4, 2, -10, -6, -4],\n [6, -4, 4, 2, -3, -7, -8, 2],\n [2, -2, 2, -10, -7, -2, -3, ... | 78573356 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[6, -6, -7, -5, 0, -8, -11, -4],\n [-2, 11, -7, -6, 12, -6, 6, -7],\n [-2, -2, -6, -11, 6, -9, -7, 4],\n [12, -8, -6, -4, 12, -12, -12, 6],\n [-7, 5, -3, -2, -12, -12, 0, -8],\n [7, -12, 7, -10, 5, -4, 1, 4],\n [1... | 341562209 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[8, 4, 6, 2, 10, 6, 6, 3],\n [4, -12, 1, 8, -4, 8, 4, 6],\n [6, 1, 3, 0, 6, -8, 5, -2],\n [2, 8, 0, -11, 1, 6, -2, 2],\n [10, -4, 6, 1, -12, -1, 2, 12],\n [6, 8, -8, 6, -1, 4, -8, 8],\n [6, 4, 5, -2, 2, -8, 4, -2],\n [3, 6, -2, 2, 12, 8, -2, -3]], determine the... | 21218179063 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-3, -2, -7, -9, 11, -1, -2, 10],\n [10, 12, 0, -8, -7, -12, -7, 5],\n [9, -4, 11, 12, 2, -5, 6, 11],\n [3, -7, -7, 9, -10, -3, -12, 1],\n [-9, -1, -7, -2, -1, -3, 5, -6],\n [-6, -2, -9, 7, -12, 0, 5, -4],\n [11, 11, -4, 10, -4, -3, -11, -7],\n [2, -10, -2, -7,... | 972640 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[0, 0, -4, -4, 4, 8, 8, -3],\n [0, 2, 6, -4, 8, -8, 10, -4],\n [-4, 6, -11, -6, 1, -10, -2, -8],\n [-4, -4, -6, 11, 0, 8, -4, 4],\n [4, 8, 1, 0, -9, 0, 10, -2],\n [8, -8, -10, 8, 0, -9, -4, 1],\n [8, 10, -2, -4, 1... | 781363800 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[-10, -6, -6, -1, -2, -8, -4, -5],\n [-6, 7, 2, -4, -2, -2, -1, 0],\n [-6, 2, -12, 9, 2, -8, -2, 0],\n [-1, -4, 9, -4, 8, -1, 4, 5],\n [-2, -2, 2, 8, 6, -2, -1, -4],\n [-8, -2, -8, -1, -2, -1, 0, -4],\n [-4, -1, -... | 1122906139 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[-8, 4, 0, -8, -8, -8, 7, 6],\n [4, -2, 6, 2, 10, 10, -6, -8],\n [0, 6, 12, -2, 0, 4, -9, -2],\n [-8, 2, -2, -10, 7, 2, 4, -12],\n [-8, 10, 0, 7, 2, -8, 0, -6],\n [-8, 10, 4, 2, -8, 11, 3, 0],\n [7, -6, -9, 4, 0, ... | 794212017 | MATH |
[
{
"content": "Find the value at position (5, 2) of the 5th power of the matrix:\n[[8, 2, -5, -9, 3, 8, -9, 3],\n [9, -1, 3, 6, -5, -7, -3, -8],\n [5, -3, -3, -6, 5, -12, -6, 8],\n [-12, 2, -9, 7, -3, 10, -4, -11],\n [1, 3, -12, -11, -6, -3, 9, 7],\n [-12, 0, -12, -8, 3, 2, 4, 10],\n [3, 0, -2, 4, 4, -11, 0, 1],... | -130047 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[8, 0, 5, -8, -7, 4, -2, 7],\n [3, -4, -11, -8, -12, -9, -9, 9],\n [12, -10, -4, 9, 10, -1, -3, -11],\n [-2, -3, 9, -7, 5, -11, -11, -3],\n [3, -1, -12, 8, -5, 3, 5, 0],\n [2, 8, -1, -5, -3, 1, -8, 5],\n [6, 2, -7, -2... | 9396000202 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[6, 0, 6, -2, -9, 4, 0, -4],\n [0, -6, 8, 2, -2, 6, -6, -6],\n [6, 8, -5, -3, -2, 0, 0, 4],\n [-2, 2, -3, -9, 3, -2, -2, 7],\n [-9, -2, -2, 3, 0, -7, -8, -1],\n [4, 6, 0, -2, -7, 3, -8, -3],\n [0, -6, 0, -2, -8, -8, ... | 944269162 | MATH |
[
{
"content": "Find the value at position (1, 2) of the 6th power of the matrix:\n[[0, 4, 0, -6, -2, 0, -1, -6],\n [4, 7, 4, 5, -6, 1, 4, -2],\n [0, 4, 12, 5, -6, 1, -4, -7],\n [-6, 5, 5, -9, 1, -2, 4, -6],\n [-2, -6, -6, 1, 7, -10, 8, 0],\n [0, 1, 1, -2, -10, -1, 1, -6],\n [-1, 4, -4, 4, 8, 1, 7, -4],\n [-6, -2... | 15427681 | MATH |
[
{
"content": "Find the value at position (2, 3) of the 6th power of the matrix:\n[[-7, -3, 0, -6, 6, 11, 6, 4],\n [0, 0, 8, -11, -3, 9, 0, -4],\n [-12, 1, 3, 7, 2, -12, 4, 11],\n [0, 2, 3, 3, -11, 4, -2, -5],\n [7, -10, -1, 7, 3, 1, 3, 8],\n [4, -2, 4, 6, 9, -12, -1, 2],\n [5, 10, 1, -12, 0, 2, -6, 2],\n [7, -3... | -1797436 | MATH |
[
{
"content": "Find the sum of all entries of the 7th power of the matrix:\n[[-1, -2, 12, 7, 9, 11, 12, 6],\n [-11, 9, 7, -12, -5, 12, 1, -4],\n [-11, 12, 10, -8, 10, 12, -5, 3],\n [9, 3, 0, 7, 2, -12, 9, -10],\n [-7, 9, 1, -9, 5, 2, -4, 5],\n [-10, -3, 4, -6, 2, -12, 12, -2],\n [4, -8, -6, 6, 12, 11, 2, -10],\n... | 11328534321 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[-4, -6, -11, 10, 10, 8, 3, -4],\n [0, 6, 7, 4, -7, -9, -12, 5],\n [6, -4, 0, -5, 10, 0, 2, -2],\n [-1, 1, -9, -12, 11, -9, 6, -4],\n [-3, -9, 7, -4, 0, -1, -2, -1],\n [5, -1, 3, -8, 7, 12, -1, 8],\n [12, -2, -4, 5, 12, -10, 7, 4],\n [1, -12, 4, 12, -5, -8, -8,... | 584340552 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[-10, -2, 4, -4, 10, 4, 4, -8],\n [-2, 1, 2, -12, 2, 4, 6, -1],\n [4, 2, 1, 0, 2, 2, 1, 6],\n [-4, -12, 0, -3, -1, 10, 8, -8],\n [10, 2, 2, -1, -3, -2, -6, -4],\n [4, 4, 2, 10, -2, 2, 4, -6],\n [4, 6, 1, 8, -6, 4, 2, -3],\n [-8, -1, 6,... | -13509068 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[5, 5, -6, -8, 2, -6, 0, -4],\n [5, 1, -2, 8, -6, 4, 10, -2],\n [-6, -2, -3, -2, 2, 2, -2, 10],\n [-8, 8, -2, 2, 2, 9, -5, 10],\n [2, -6, 2, 2, -6, 2, 8, -2],\n [-6, 4, 2, 9, 2, -12, -2, 4],\n [... | 63375260862 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the value at position (4, 7) of the result:\nA =\n[[-4, -6, -4, 0, -10, -10, -12, 8],\n [7, -11, 12, -10, 2, 11, -7, 0],\n [8, -12, 7, 6, -12, 8, 9, -11],\n [2, 1, 6, -2, 2, -7, 7, -4],\n [-8, 7, -11, -7, 5, 10, 6, -4],\n [8, 11, -7, 1, 11, 0, -2, -1],\n [6,... | 6217042 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-9, -3, 12, -10, 2, -11, 12, 12],\n [4, -7, -5, -10, 12, 5, 9, -12],\n [3, -6, -10, 10, -9, -4, -8, 6],\n [2, -5, -7, 5, 6, 11, 2, -6],\n [-3, -7, 1, 4, -4, 6, -8, 10],\n [-6, 6, 7, -6, 11, -11, 12, 10],\n [3, 0, -5, -7, -7, -4, -9, -... | 2179272374 | MATH |
[
{
"content": "Find the sum of all entries of the 5th power of the matrix:\n[[1, 0, -2, 0, 9, 11, -4, -3],\n [-9, 4, 1, 11, 5, -2, 3, -12],\n [-6, -3, -4, 12, -10, 9, 10, 1],\n [12, 2, -11, 11, 1, 3, -6, -9],\n [5, 11, -8, -7, -6, 2, -12, 11],\n [-9, 12, -12, -2, 5, 1, 9, -2],\n [-3, 4, -9, 11, 2, 3, 8, 0],\n [-... | -1346740 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (5, 8) of the result:\nA =\n[[9, 6, 7, -8, 2, 8, -2, 2],\n [6, -8, -2, 0, -6, -5, 4, -1],\n [7, -2, 8, 0, -4, 0, 4, -10],\n [-8, 0, 0, -12, -3, -8, 5, 4],\n [2, -6, -4, -3, 11, 0, 2, -2],\n [8, -5, 0, -8, 0, -12, -7, -2],\n [-2, 4, 4, 5... | -142332764 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-10, 0, 2, 0, -6, 6, 2, -4],\n [0, -3, 6, -2, 1, -2, 6, 2],\n [2, 6, 9, 1, -5, -4, 9, 0],\n [0, -2, 1, 4, 4, -2, -2, 2],\n [-6, 1, -5, 4, 0, -10, 8, -3],\n [6, -2, -4, -2, -10, 7, 10, 10],\n [2, 6, 9, -2, 8, 10, 10, 6],\n [-4, 2, 0, 2, -3, 10, 6, -2]], determi... | 52868766733 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (8, 8) of the result:\nA =\n[[3, 4, 1, 2, 4, 1, -8, 6],\n [4, 8, 12, -7, -2, 4, -2, -1],\n [1, 12, -12, -4, -6, -4, -1, -3],\n [2, -7, -4, 8, -2, 6, -1, 4],\n [4, -2, -6, -2, -5, -6, 3, -1],\n [1, 4, -4, 6, -6, 7, -2, -3],\n [-8, -2, -1... | 19501256 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the value at position (6, 5) of the result:\nA =\n[[-2, -12, -6, 3, 1, 2, 1, 8],\n [-2, 3, 6, 4, -7, -2, 4, -4],\n [5, 4, -1, 10, 9, 9, -8, -2],\n [-9, -9, -10, 11, 10, 12, 4, -6],\n [-9, 10, 0, -1, -12, 8, 6, 8],\n [7, 5, -2, 7, -10, 4, -1, -3],\n [-5, 2, -... | 6041510 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the value at position (1, 5) of the result:\nA =\n[[11, 10, 5, -12, -10, 8, -1, -12],\n [-10, -10, -8, 6, 12, -12, -9, -9],\n [4, 1, 5, -12, 9, 3, -10, 10],\n [8, -4, 10, -9, 8, -8, -2, 8],\n [-4, -10, -7, 11, -2, -4, 2, 10],\n [-10, -12, 7, 9, 6, 1, 4, 9],\... | 1239637 | MATH |
[
{
"content": "Find the value at position (8, 5) of the 6th power of the matrix:\n[[-12, -8, -7, 3, 12, 3, 1, -12],\n [0, 7, -3, 11, -3, -4, 0, -10],\n [5, 7, -11, 4, 6, 10, 0, 0],\n [-12, -11, -12, 11, -8, 11, -10, -6],\n [11, 9, 0, 10, 5, 11, 8, -6],\n [-12, -8, 4, -5, 2, 7, -9, -11],\n [-8, -12, 12, -8, -7, -... | 13593512 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -1, 7, 10, 8, 1, 2, 6],\n [-1, -3, 4, -7, 4, -4, -1, 0],\n [7, 4, 5, 0, 0, -10, -2, -2],\n [10, -7, 0, -11, -4, 0, 2, 6],\n [8, 4, 0, -4, -12, 10, -5, -2],\n [1, -4, -10, 0, 10, 12, -8, 0],\... | 33420325895 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[11, -4, -8, 6, -6, 3, 12, -10],\n [-4, -9, 10, 0, 2, -1, -4, -5],\n [-8, 10, -1, 2, 1, 2, 4, 2],\n [6, 0, 2, 7, 2, 4, 2, -10],\n [-6, 2, 1, 2, 3, 2, -4, 3],\n [3, -1, 2, 4, 2, -4, -4, 2],\n [12, -4, 4, 2, -4, -4, -1... | 3736374760 | MATH |
[
{
"content": "Find the sum of all entries of the 7th power of the matrix:\n[[-12, 0, 10, -2, -2, 12, 0, 2],\n [0, 6, 0, 2, 6, -10, 4, -2],\n [10, 0, 3, 6, 0, -4, 4, -3],\n [-2, 2, 6, 3, 8, -6, 4, 4],\n [-2, 6, 0, 8, -8, 1, -2, 3],\n [12, -10, -4, -6, 1, -10, -8, 0],\n [0, 4, 4, 4, -2, -8, 5, 3],\n [2, -2, -3, 4... | 695777623 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[-8, 5, -9, 8, -6, 0, 6, 6],\n [5, -3, 10, -6, -4, 3, -2, 5],\n [-9, 10, 4, 10, 6, 1, 4, -2],\n [8, -6, 10, 5, 4, 0, 3, 0],\n [-6, -4, 6, 4, -9, 0, -6, -1],\n [0, 3, 1, 0, 0, 4, -4, -3],\n [6, -2, 4, 3, -6, -4, 3, -6],\n [6, 5, -2, 0, -1, -3, -6, -2]], determin... | -1372132 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[5, 11, -9, -3, -12, -8, 0, -12],\n [10, -5, -10, -10, -6, -9, -10, 2],\n [-5, -10, -6, 5, -2, -2, 4, -7],\n [-5, -12, -3, 12, 6, -10, -9, -2],\n [2, -12, -4, -2, 6, 0, 3, -9],\n [-12, 7, 0, -12, -8, -8, 1, 10],\n [1, -5, -9, -6, 7, 6,... | 565814152 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[9, -2, -4, -1, 0, 2, -8, -4],\n [-2, 6, 0, 2, -4, -1, -1, 8],\n [-4, 0, -7, -1, 2, -2, 8, 4],\n [-1, 2, -1, 9, 0, -5, 1, -4],\n [0, -4, 2, 0, 8, 8, -3, -4],\n [2, -1, -2, -5, 8, 11, -2, 0],\n [-8, -1, 8, 1, -3, -2, -3, -10],\n [-4, 8, 4, -4, -4, 0, -10, -12]],... | 315071196 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (8, 7) of the result:\nA =\n[[-3, 1, 9, 12, 5, -7, 5, 7],\n [3, 2, 3, -5, 0, 10, -2, 12],\n [-6, 4, 5, 9, 10, 6, 12, 0],\n [2, 10, 9, 9, -12, 3, -8, -10],\n [10, -3, 6, -8, -6, 1, -10, 0],\n [0, -3, -11, -7, -5, -9, 12, -1],\n [2, -5, -... | -139300244 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[7, -4, -10, -7, -7, 10, 12, -1],\n [10, -12, 3, 11, -8, -4, -3, 0],\n [2, -1, -8, -8, 5, -1, -10, 12],\n [-6, 4, 6, 5, -12, 12, 11, -8],\n [-11, -12, -6, -2, -2, 5, 4, -11],\n [-6, -6, -3, 9, 8, -10, -1, -10],\n [-2, -1, 12, -9, 12, 3, 7, 5],\n [-9, 9, -7, 8, ... | 17886551072 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[9, -4, -2, -4, -5, 6, -10, -4],\n [-4, 11, 1, 3, 0, 4, 0, -2],\n [-2, 1, -9, -3, -4, 4, -6, 3],\n [-4, 3, -3, -8, -6, -5, 4, 0],\n [-5, 0, -4, -6, -2, 4, -1, 0],\n [6, 4, 4, -5, 4, -3, 2, 3],\n [-10, 0, -6, 4, -1, 2, -6, 0],\n [-4, -2... | -11254802 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[7, 9, -9, 12, 7, -7, -7, -2],\n [4, 11, -10, 0, 9, -10, 3, 2],\n [-2, 5, 2, -8, 3, 3, 4, -4],\n [10, -10, 7, 0, 9, -10, -6, -7],\n [-4, -1, 2, 8, 7, -10, -3, -12],\n [6, 6, 10, 10, 0, -1, -12, 6],\n [11, 3, 12, 10, 10, 2, 3, -2],\n [11, -7, -2, -10, 2, -12, -6... | 579525569 | MATH |
[
{
"content": "What is the value at position (4, 3) of the matrix A^5 where A is:\n[[4, -4, 10, 0, -2, 7, -7, -12],\n [-6, -1, 9, 7, 10, 6, 4, -9],\n [-10, -12, 5, 8, 2, -5, -12, 7],\n [1, -9, -8, 10, 0, 11, 2, -7],\n [-12, 10, 6, 0, -7, 2, 3, 11],\n [10, 3, -3, 9, -4, -4, 4, 4],\n [4, 11, -1, 0, -1, 1, -3, 10],... | 1377809 | 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, -6, -2, -6],\n [-9, 11, 7, -6, -9, -1, -8, 10],\n [6, -8, 6, 8, -10, -2, -6, 4],\n [12, -4, 8, -4, -3, 0, 2, 9],\n [-8, -10, -5, 7, -3, 0, -10, 9],\n [-5, -4, 9, 8, -1, -2,... | 171374429548 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[11, 12, 10, 11, 7, 3, 7, 0],\n [-11, 11, -11, 12, 1, -9, 4, 0],\n [-9, -10, -1, 9, 10, -5, -11, -7],\n [9, -3, -1, 8, -3, -3, 10, -10],\n [7, -3, -4, 7, 6, 1, -11, -8],\n [7, -5, -6, -7, -2, -1... | 120484408 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[2, 6, -12, -8, 2, -10, -12, -5],\n [-1, 9, 12, 6, 12, 12, -1, 0],\n [-12, 6, -7, -5, -9, -8, 12, 9],\n [-6, 10, -9, 7, -9, 2, 8, -8],\n [11, -4, -11, -6, 4, 3, 4, 7],\n [10, -11, -2, -11, -12, -11, 10, -4],\n [9, -11, 2, -3, 2, -3, 12, 10],\n [4, -4, 5, -9, -4... | 46227738 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[6, -2, 8, -6, -7, 4, -2, 8],\n [-2, 0, 0, 2, 0, 0, 7, -6],\n [8, 0, -12, -1, 2, 4, 5, 3],\n [-6, 2, -1, -6, -1, -2, 12, -6],\n [-7, 0, 2, -1, 3, 8, 0, -6],\n [4, 0, 4, -2, 8, -11, 0, 4],\n [-2, 7, 5, 12, 0, 0, 10, 4],\n [8, -6, 3, -6, -6, 4, 4, 12]], determine... | 227100026 | MATH |
[
{
"content": "Find the sum of all entries of the 6th power of the matrix:\n[[-9, 6, -11, -4, -1, -11, -7, -8],\n [-8, 7, 9, -8, -9, -4, 9, -3],\n [3, -3, -3, 6, -3, -7, 4, -8],\n [-7, 11, 2, 12, 6, 5, -9, -5],\n [3, 11, 6, 7, -10, -3, -11, -9],\n [-7, -2, 1, 3, 8, 6, -11, 12],\n [4, -4, 4, 2, -6, 9, 10, 6],\n [... | 1453177 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[12, -7, -12, -5, -12, 6, -2, 8],\n [11, 12, 2, 10, 12, -2, 6, 8],\n [-3, 11, -1, -12, 11, -6, 4, -3],\n [-7, 4, 5, -8, 5, 4, 9, 3],\n [-5, 11, 0, 11, 3, -2, -7, -10],\n [-12, 5, -8, 0, -3, -8, 1, 4],\n [-12, 12, -11... | 1963893546 | MATH |
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