messages listlengths 1 1 | ground_truth stringlengths 5 12 | dataset stringclasses 1
value |
|---|---|---|
[
{
"content": "For the matrix power A^6 where A =\n[[-3, -6, -3, 5, 9, -7, -6, 4],\n [-1, 4, 5, 1, -2, -11, 8, -12],\n [-2, -11, 3, 9, -10, 7, -12, 8],\n [7, -5, 6, -12, -8, -12, -2, 8],\n [-4, -8, -11, 0, 5, 12, -1, 1],\n [-8, 11, -3, 7, -11, -9, -1, -2],\n [-9, -2, -4, -3, -7, 2, -3, 9],\n [8, -7, -12, 8, 9, 1... | -26459851 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[-9, 10, 9, 1, 7, 9, 7, -5],\n [-2, 2, 6, -5, 0, 5, 9, 11],\n [4, -7, 12, 2, 0, 5, -2, 0],\n [-12, 5, -8, -7, -12, -6, -9, -4],\n [2, -7, 12, 4, 7, 5, 9, -9],\n [-4, 1, -10, -12, -2, -12, -1, 12],\n [-4, -8, 2, 5, -4... | 15309008516 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-6, 4, -7, 0, 2, 2, 2, 5],\n [4, -7, 8, -6, -2, -5, -6, -11],\n [-7, 8, 2, -1, -6, -2, -4, 0],\n [0, -6, -1, 11, -6, 3, -2, 8],\n [2, -2, -6, -6, -1, 2, 2, 2],\n [2, -5, -2, 3, 2, 6, -2, 2],\n [2, -6, -4, -2, 2, -2, 6, -8],\n [5, -11, 0, 8, 2, 2, -8, -1]], det... | -1234883 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[6, -3, -3, 1, 8, 1, -3, -1],\n [-3, -9, 5, 4, 6, -2, 0, -6],\n [-3, 5, 12, -1, 2, -6, 5, 4],\n [1, 4, -1, 3, 2, 2, -8, 8],\n [8, 6, 2, 2, -9, 0, 0, -7],\n [1, -2, -6, 2, 0, -1, -10, 4],\n [-3, 0, 5, -8, 0, -10, 2, 6]... | 994205801 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[8, 0, -3, -5, 2, 6, 6, 2],\n [0, 3, 2, 6, 0, 6, -6, 2],\n [-3, 2, -10, 2, -3, -2, -1, -4],\n [-5, 6, 2, 5, 9, 4, -6, -2],\n [2, 0, -3, 9, 11, 2, 0, 3],\n [6, 6, -2, 4, 2, 3, -2, 0],\n [6, -6, -1, -6, 0, -2, 6, -6],\n [2, 2, -4, -2, 3,... | 6581546501 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-2, -2, -5, -4, -2, -5, 2, 0],\n [-2, -5, 5, -4, 2, -5, -3, -4],\n [-5, 5, -3, -8, -5, -8, 10, -2],\n [-4, -4, -8, -4, -4, 4, -2, 8],\n [-2, 2, -5, -4, 8, 2, 4, -2],\n [-5, -5, -8, 4, 2, -7, -3, -2],\n [2, -3, 10, -2, 4, -3, -9, 10],\n [0, -4, -2, 8, -2, -2, 1... | 23845174582 | MATH |
[
{
"content": "Find the value at position (2, 6) of the 6th power of the matrix:\n[[-7, 9, -10, -10, 3, -3, 12, 4],\n [-6, 0, -2, -3, -6, 11, -7, 11],\n [-12, 4, 12, -1, -9, -10, -7, 3],\n [0, -4, -2, 7, 12, 8, 0, 10],\n [6, -10, -1, 6, -5, 1, 9, -4],\n [12, 11, 4, -7, -9, -9, 6, -1],\n [12, -11, 4, 2, -3, -10, ... | 7272387 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[12, 10, 9, 2, -2, 0, 1, 11],\n [10, -1, 4, -2, -4, -10, 4, -2],\n [9, 4, 0, 4, 6, -11, 0, -7],\n [2, -2, 4, -9, 2, -4, -4, -10],\n [-2, -4, 6, 2, 1, 10, 1, 7],\n [0, -10, -11, -4, 10, 2, 6, -6],\n [1, 4, 0, -4, 1, 6, -1, -1],\n [11, -2, -7, -10, 7, -6, -1, -6]... | 214425235 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[-12, -9, -2, 7, -6, 5, -9, 4],\n [-2, -2, 7, -2, 2, 1, 4, -11],\n [5, 3, -1, -3, 3, -10, -5, 9],\n [9, 12, 11, -11, 9, -12, 1, 12],\n [-9, -9, -4, -10, -8, -12, 9, 6],\n [-12, -3, 9, -1, -3, -11, 3, -5],\n [1, 2,... | -23437229 | MATH |
[
{
"content": "Find the value at position (7, 4) of the 6th power of the matrix:\n[[3, -4, 4, -6, 2, 8, -8, 4],\n [-4, 12, -1, 0, 4, 0, 0, 4],\n [4, -1, 10, 3, -8, 2, -1, -2],\n [-6, 0, 3, 5, 4, -6, 8, -5],\n [2, 4, -8, 4, 9, 5, 5, -6],\n [8, 0, 2, -6, 5, -4, 2, 2],\n [-8, 0, -1, 8, 5, 2, 10, 1],\n [4, 4, -2, -5... | 82989211 | MATH |
[
{
"content": "Find the value at position (6, 4) of the 7th power of the matrix:\n[[-4, 6, -10, -4, 9, -2, -9, -1],\n [6, -6, 2, 0, 3, -1, 4, -3],\n [-10, 2, 5, -2, -10, -2, -2, -8],\n [-4, 0, -2, -6, 7, 4, -6, 10],\n [9, 3, -10, 7, -2, -4, 8, 4],\n [-2, -1, -2, 4, -4, -7, 0, 2],\n [-9, 4, -2, -6, 8, 0, 11, 3],\... | 469992797 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[4, -1, -2, 4, -3, -3, -4, -6],\n [-1, 3, -10, 0, 7, -5, 2, -2],\n [-2, -10, -8, 1, -2, 0, -2, 1],\n [4, 0, 1, -1, 0, -1, -2, -1],\n [-3, 7, -2, 0, -11, 1, -2, -1],\n [-3, -5, 0, -1, 1, 2, -6, 5],\n [-4, 2, -2, -2, -2, -6, -10, 4],\n [-6, -2, 1, -1, -1, 5, 4, 3... | 3019803329 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[-8, -4, 2, 4, -4, 9, 1, 3],\n [-4, -5, 4, -4, -10, -3, 1, 0],\n [2, 4, 12, -4, 8, -2, -8, 7],\n [4, -4, -4, -3, 2, 2, 1, -4],\n [-4, -10, 8, 2, 4, 2, 8, -6],\n [9, -3, -2, 2, 2, 3, 3, -2],\n [1, 1, -8, 1, 8, 3, 1... | 117159172 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[-2, 0, -2, 6, 2, -6, 6, 2],\n [0, -8, 0, 0, 0, 0, 1, -2],\n [-2, 0, -5, -2, -1, 8, 10, -2],\n [6, 0, -2, -2, 1, -1, -2, 4],\n [2, 0, -1, 1, -10, 4, 7, -4],\n [-6, 0, 8, -1, 4, 5, -4, -2],\n [6, 1, 10, -2, 7, -4, -3, ... | 20195737835 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[-10, 7, 11, -10, -7, -11, -10, 4],\n [-4, -9, 9, 10, -11, 11, -4, 1],\n [-2, -11, 8, -11, -8, -6, 9, -9],\n [1, -11, 10, -1, -3, 12, -12, 6],\n [10, 3, 2, 1, -4, 8, 10, 2],\n [-6, -9, 8, 5, -5,... | 24178503817 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[-11, -1, 11, 9, -1, 6, 6, 8],\n [-10, -7, -11, 11, 0, -4, 0, 10],\n [1, 6, -2, 1, 3, -3, 7, 3],\n [-11, 12, 3, 1, 8, 5, -7, -6],\n [0, -11, 2, 4, 0, -6, -12, -10],\n [7, 5, -6, 8, 4, -1, 3, 11],\n [-3, 10, 3, 7, 5, 2, 10, -2],\n [5, -7, -12, 10, -6, -1, 7, -9]... | 1427834448 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[-3, 4, -7, -6, 3, 4, 0, 4],\n [4, -10, 7, -2, -9, -6, -1, -2],\n [-7, 7, 3, 1, -7, -7, 10, 2],\n [-6, -2, 1, 4, 2, -8, 8, 1],\n [3, -9, -7, 2, 8, -5, -2, -3],\n [4, -6, -7, -8, -5, 12, -4, 4],\n [0, -1, 10, 8, -2... | -40673687 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[6, 0, -12, -6, 4, -2, -7, 6],\n [0, 5, -8, 0, 6, -8, 7, 8],\n [-12, -8, 0, 12, -1, 4, -7, 9],\n [-6, 0, 12, -1, 6, -6, 0, 6],\n [4, 6, -1, 6, 7, 4, -4, -1],\n [-2, -8, 4, -6, 4, -1, -6, 0],\n [-7, 7, -7, 0, -4, -6, ... | 79386266 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[0, 8, -6, 0, 2, 1, 0, -1],\n [8, 5, 0, 2, 1, 6, 2, 2],\n [-6, 0, 4, 1, 4, 4, -7, 0],\n [0, 2, 1, 3, 6, 2, 5, -10],\n [2, 1, 4, 6, 11, -6, 8, 2],\n [1, 6, 4, 2, -6, -10, 2, -1],\n [0, 2, -7, 5, 8, 2, -11, -1],\n [-1, 2, 0, -10, 2, -1, -1, 11]], determine the su... | 141531775 | MATH |
[
{
"content": "What is the value at position (4, 6) of the matrix A^7 where A is:\n[[-6, 12, 3, 2, -8, -12, 7, 9],\n [9, -4, 8, -8, 9, -7, -10, -7],\n [-5, -7, 3, 3, 8, -10, 4, 8],\n [-7, -7, 9, 6, 7, 2, 6, -11],\n [-5, -6, -5, 0, 9, 2, -1, 2],\n [1, -6, 4, -8, 7, -3, 6, 5],\n [12, 11, -3, -11, -7, -10, 6, -8],\... | -106040063 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the value at position (8, 5) of the result:\nA =\n[[-7, 0, 3, 0, -11, 6, 6, 6],\n [5, 12, -7, -11, 6, -7, 7, 10],\n [9, 2, -7, -10, -2, -5, 12, 9],\n [5, 4, 6, 6, 11, 8, 4, -9],\n [-6, -8, 3, -7, 1, 7, -11, 12],\n [5, 5, 0, 5, 4, 0, -1, -10],\n [9, -6, -12, ... | -7610630 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[10, -10, 5, -9, -10, -1, 10, -1],\n [4, -7, 2, -11, -5, 1, -8, -10],\n [-3, -6, -2, 2, -11, -8, -2, -5],\n [0, -2, 4, 2, -12, 6, 3, 6],\n [0, 10, 9, 10, -9, -2, 5, 5],\n [-3, 4, 0, 12, 1, -6, -3, -10],\n [-11, 6, -6... | 63904303 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[-10, -6, -6, -6, 4, -10, 2, -6],\n [-6, -3, 1, 6, 6, 6, -2, 0],\n [-6, 1, 9, 4, 2, 8, -2, 0],\n [-6, 6, 4, -12, -2, -6, -6, 3],\n [4, 6, 2, -2, 12, 4, -4, 0],\n [-10, 6, 8, -6, 4, 7, 1, 8],\n [2, -2, -2, -6, -4, 1, -... | 72270786033 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (7, 1) of the result:\nA =\n[[-8, 7, 10, -3, 4, 0, 4, 5],\n [0, 4, 2, -1, -3, 0, -2, -10],\n [9, -3, -2, -7, -12, -7, -8, -6],\n [9, -1, -1, -6, -11, -12, 10, 12],\n [5, -1, -6, 6, 9, -10, -3, -2],\n [-8, -11, -5, 1, -5, 10, -7, -12],\n... | 1377826607 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-8, -12, 6, -3, 12, 1, 12, 8],\n [-10, -7, -8, 4, 5, -1, -8, -4],\n [-1, 7, -4, -10, -12, 9, 2, -3],\n [1, -6, -9, -8, 7, 3, -10, 4],\n [0, -7, -8, 3, -2, 4, -8, -7],\n [-3, 8, -12, 8, -3, 4, -10, -11],\n [4, -9, -11, -8, -3, -12, -12, -9],\n [-6, 1, 1, 5, -11... | -653763 | MATH |
[
{
"content": "What is the value at position (3, 6) of the matrix A^7 where A is:\n[[3, 9, 5, 3, 10, 9, 11, -7],\n [12, -3, -11, -6, 8, 4, -10, 7],\n [-1, -11, -6, 4, 6, -1, -4, 1],\n [-11, 8, -9, 6, 8, 3, 9, 4],\n [-11, 4, 6, -5, 11, 7, -7, -1],\n [12, 10, 5, -11, 6, 11, -3, 12],\n [-10, 12, -1, 3, -1, -5, -8, ... | -383089411 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[8, 10, 11, 1, -9, 5, -3, 5],\n [-1, 6, -5, -12, 1, 10, -7, 1],\n [-11, -4, -1, -8, -11, 6, -6, -6],\n [-3, 4, 1, -2, 7, -7, -5, 6],\n [6, 11, 11, 11, 4, 11, 11, 5],\n [-1, -4, 10, 11, 3, 5, 3, 3],\n [-9, 10, 9, -6, -12, 11, 10, 7],\n [-12, -5, 10, -5, -3, -12,... | 38464668 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[8, 4, 2, 0, 7, 7, -4, -6],\n [4, 3, 6, -2, -2, 2, 0, 0],\n [2, 6, 1, 0, 0, 10, 0, 3],\n [0, -2, 0, 12, -1, -8, 0, -4],\n [7, -2, 0, -1, 9, 4, -11, -8],\n [7, 2, 10, -8, 4, -12, -4, 0],\n [-4, 0, 0, 0, -11, -4, 12, -7],\n [-6, 0, 3, -4... | 471331677 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[2, -2, -5, 8, 8, 0, -6, -4],\n [-2, 5, 0, 12, -7, -4, 2, 4],\n [-5, 0, -1, -1, 0, -2, -4, 2],\n [8, 12, -1, -8, -4, 6, 3, 4],\n [8, -7, 0, -4, -10, 6, 0, 4],\n [0, -4, -2, 6, 6, -11, 1, 2],\n [-6, 2, -4, 3, 0, 1, 5, 10],\n [-4, 4, 2, 4, 4, 2, 10, 12]], determi... | 10918825494 | MATH |
[
{
"content": "What is the value at position (1, 8) of the matrix A^7 where A is:\n[[-5, 1, 4, -4, 2, 8, -4, -4],\n [1, 3, 2, 4, 8, 0, 4, -1],\n [4, 2, -8, -2, -12, 2, -2, -8],\n [-4, 4, -2, -11, -2, -3, 10, 6],\n [2, 8, -12, -2, 11, 0, 4, 9],\n [8, 0, 2, -3, 0, 1, 4, -2],\n [-4, 4, -2, 10, 4, 4, -10, 3],\n [-4,... | -389288625 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-12, 7, 6, -10, -3, -1, 5, 1],\n [-3, -3, 5, 11, -12, 2, -5, -10],\n [5, -4, 3, 8, 2, -8, 0, 9],\n [7, -6, 3, -6, 12, 9, 3, 0],\n [4, -4, -1, 0, -4, -8, -6, -12],\n [-9, -9, 3, -8, 9, -9, -7, 10],\n [-10, 12, -5, 4, 5, 5, 12, -1],\n [12, 12, -12, 10, -1, -2, 0... | 1802958592 | MATH |
[
{
"content": "Find the value at position (7, 3) of the 7th power of the matrix:\n[[12, -5, -10, 4, 12, 0, -3, 4],\n [-10, 0, 9, -7, 1, -3, 7, 3],\n [5, 0, -3, -7, -3, -8, -7, -6],\n [-2, 3, 12, -1, -1, 10, 7, -8],\n [3, -7, -4, -8, 8, 10, 3, 5],\n [6, -1, -11, -3, -1, 1, 5, 6],\n [-7, -8, 3, 1, 0, 8, -11, -11],... | 68043885 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (2, 4) of the result:\nA =\n[[12, -7, 5, -12, -12, 12, 1, -7],\n [-7, -9, -1, 5, -3, -10, -10, -5],\n [9, 10, 12, -12, 5, 2, 12, 8],\n [7, 4, 12, -2, 0, 12, 7, 12],\n [-3, 0, 4, 8, -12, 7, 3, 3],\n [8, -10, -11, -7, -2, -10, -12, -2],\n... | -432418037 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[1, 2, 8, 9, 0, -9, 6, 8],\n [2, -5, -3, 8, -9, 0, -7, -2],\n [8, -3, -10, -2, -4, 10, 0, -6],\n [9, 8, -2, -6, -4, 4, -11, -4],\n [0, -9, -4, -4, -8, 8, -2, -2],\n [-9, 0, 10, 4, 8, -6, -4, -5],\n [6, -7, 0, -11, -2,... | 9517856936 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[9, 0, -6, 0, 0, 6, 0, -8],\n [0, 5, -3, 1, -1, 2, -6, 3],\n [-6, -3, 4, -6, 0, -5, -4, -3],\n [0, 1, -6, -6, 6, 2, 2, 2],\n [0, -1, 0, 6, -9, -4, 0, 4],\n [6, 2, -5, 2, -4, 11, 7, 0],\n [0, -6, -4, 2, 0, 7, -8, 3],\n [-8, 3, -3, 2, 4, 0, 3, 11]], determine the... | 2593598441 | MATH |
[
{
"content": "Find the value at position (1, 3) of the 7th power of the matrix:\n[[-7, 8, -8, -1, -9, 1, 4, -6],\n [8, -10, 4, 8, -1, 3, 1, 0],\n [-8, 4, -2, -1, -6, -4, 1, 2],\n [-1, 8, -1, 9, 2, 1, 2, 6],\n [-9, -1, -6, 2, -11, 0, 2, -6],\n [1, 3, -4, 1, 0, -11, -8, 5],\n [4, 1, 1, 2, 2, -8, -3, 0],\n [-6, 0,... | -2565764868 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[0, -3, -4, 0, -6, 8, -8, 8],\n [-3, 0, -6, -2, -8, 2, 0, -3],\n [-4, -6, 6, 6, -3, 2, 2, 0],\n [0, -2, 6, -5, 10, 0, -2, 2],\n [-6, -8, -3, 10, 12, 7, 5, 3],\n [8, 2, 2, 0, 7, 1, -6, 6],\n [-8, 0, 2, -2, 5, -6, -9, 2],\n [8, -3, 0, 2, 3, 6, 2, 9]], determine t... | 29422507556 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[-6, 4, -4, 4, 2, -4, 0, 6],\n [4, 1, 4, 0, 2, -3, 6, 4],\n [-4, 4, 6, 2, 0, -8, 0, -8],\n [4, 0, 2, -6, -7, -8, 5, 1],\n [2, 2, 0, -7, -3, -2, 2, -10],\n [-4, -3, -8, -8, -2, 11, 10, 3],\n [0, 6, 0, 5, 2, 10, -4, 0]... | 56818197 | MATH |
[
{
"content": "Find the value at position (5, 8) of the 7th power of the matrix:\n[[-11, 4, 8, 1, -4, 1, 6, -2],\n [4, -2, 8, -2, 6, -5, 10, 0],\n [8, 8, -12, 1, 3, 6, 0, 3],\n [1, -2, 1, 8, 0, 10, 4, -2],\n [-4, 6, 3, 0, -2, 8, 6, -2],\n [1, -5, 6, 10, 8, -10, -3, 1],\n [6, 10, 0, 4, 6, -3, -3, -8],\n [-2, 0, 3... | -121726414 | MATH |
[
{
"content": "What is the value at position (5, 4) of the matrix A^6 where A is:\n[[12, 11, 2, 7, 11, -8, -10, 4],\n [-3, -8, -2, -7, -9, -6, 6, -6],\n [1, 4, 10, 4, 0, -12, -11, 5],\n [-9, 0, -12, -9, -11, -9, 3, -9],\n [12, -4, 4, 8, 10, 7, 8, -11],\n [-10, 10, 2, -6, -9, -1, -12, 4],\n [-9, -9, 9, 10, 12, -4... | 2929118 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[3, 2, 3, 4, -4, -6, 1, 4],\n [2, 5, 9, 4, -3, 6, 8, -4],\n [3, 9, -7, 7, 2, -10, -6, -6],\n [4, 4, 7, 12, -2, -6, -4, 4],\n [-4, -3, 2, -2, 10, 10, 4, -4],\n [-6, 6, -10, -6, 10, -5, 4, 4],\n [1, 8, -6, -4, 4, 4, -8, 0],\n [4, -4, -6, 4, -4, 4, 0, 8]], determi... | -2320280666 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[3, 2, 7, -8, -6, 5, 3, 10],\n [2, -1, 9, 3, -10, -1, 0, -4],\n [7, 9, -6, 2, 10, -6, 4, 4],\n [-8, 3, 2, -11, 6, -2, 8, 2],\n [-6, -10, 10, 6, 11, -2, 10, -4],\n [5, -1, -6, -2, -2, -9, 0, -2],\n [3, 0, 4, 8, 10, 0,... | 3382794237 | MATH |
[
{
"content": "What is the value at position (7, 7) of the matrix A^5 where A is:\n[[-3, 2, -7, -6, -4, -2, -2, -7],\n [2, -1, -2, 4, 0, -1, 3, -6],\n [-7, -2, 9, -2, 6, 1, -1, 2],\n [-6, 4, -2, -11, -2, -11, 4, -10],\n [-4, 0, 6, -2, 5, -2, 0, -8],\n [-2, -1, 1, -11, -2, 7, 6, 8],\n [-2, 3, -1, 4, 0, 6, -1, -4]... | -59688 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[12, 6, -4, -5, 6, 5, 2, -9],\n [2, 0, 5, 7, -8, 5, -5, -12],\n [6, 10, 4, -11, 6, 3, 5, -11],\n [-7, -6, -7, -7, -4, -5, 11, 9],\n [8, -4, -1, 5, 10, -7, 10, -9],\n [12, -6, 5, 7, -8, 5, -3, -5],\n [-12, 2, -10, 2, 1, -12, 8, -5],\n [... | -115254823 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[-11, 1, -5, -7, -9, -8, 8, 0],\n [-4, 0, -4, 11, 11, 3, -1, -11],\n [6, 3, 11, 0, -8, 10, 11, -7],\n [8, 11, 4, 4, 4, -10, 0, -1],\n [-7, 9, 8, 0, 1, -6, -8, 1],\n [5, -9, -12, -6, 7, 0, -9, 0],\n [-9, -10, -5, 7, -... | 1052945731 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[3, -2, 0, -3, -10, -2, 6, 4],\n [-2, -12, -2, 7, -3, 2, -4, 1],\n [0, -2, -8, -1, -11, 0, -7, -4],\n [-3, 7, -1, 0, 0, -6, 3, 8],\n [-10, -3, -11, 0, -8, 2, 8, -5],\n [-2, 2, 0, -6, 2, 4, 2, 4],\n [6, -4, -7, 3, 8, 2, -4, 0],\n [4, 1,... | -24637242 | MATH |
[
{
"content": "Find the sum of all entries of the 5th power of the matrix:\n[[4, 6, 11, -6, 1, 0, 5, -4],\n [6, -6, 0, 3, -2, -2, 2, -8],\n [11, 0, -9, -8, -2, -4, -2, 0],\n [-6, 3, -8, 0, 2, -6, -10, 2],\n [1, -2, -2, 2, 10, -6, -4, -4],\n [0, -2, -4, -6, -6, 10, -4, 8],\n [5, 2, -2, -10, -4, -4, 11, 0],\n [-4,... | -3037346 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the value at position (4, 4) of the result:\nA =\n[[-3, -5, -11, 8, 2, -7, -8, 9],\n [9, -10, -2, -2, 3, -10, -4, -10],\n [6, -2, 1, -11, -6, -3, -3, 7],\n [-12, -7, 8, 1, -11, -7, -12, -10],\n [-9, 0, -10, 2, 0, 9, -2, -9],\n [4, -8, 8, 12, 11, -5, 8, 11],\... | 1849253 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[-11, -3, -3, -8, 9, -9, 10, -11],\n [-6, 5, 4, -2, 8, 5, -5, -1],\n [11, -12, 7, 12, 8, -1, -7, -10],\n [-8, 1, -1, 0, 0, 4, 11, 2],\n [-7, -1, -11, -9, 7, 12, 12, 8],\n [-1, -10, 4, -7, 11, 4, 4, -2],\n [10, -6, -11, 6, -11, 9, 0, 11],\n [11, 3, 4, -2, -4, 11... | 1231663082 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[0, 12, -2, -1, 9, -10, -12, -5],\n [6, 0, -6, 0, -7, -10, -7, -10],\n [0, 0, 12, 0, -12, -5, -8, 7],\n [4, -4, 0, 12, 0, -8, 1, -2],\n [12, 1, 12, -6, 11, 4, -9, -3],\n [-3, 2, 7, -1, -4, -10, 2, -1],\n [2, -12, ... | 2393152619 | MATH |
[
{
"content": "Find the value at position (8, 8) of the 6th power of the matrix:\n[[0, 6, -8, 10, 9, 5, -12, 8],\n [8, 3, 3, 3, 9, 6, 3, -12],\n [7, 7, -3, -11, 1, -5, -7, -10],\n [3, 4, -1, 6, 11, 7, -10, 0],\n [3, -2, 7, 3, 7, -11, -9, 12],\n [-9, 4, -12, -12, -8, 9, -1, -7],\n [-7, 12, 4, 9, 0, -5, 11, -1],\n... | 89780157 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[-11, -4, 11, -2, -2, -1, 6, 4],\n [-4, 3, 0, -1, 2, 10, -3, -5],\n [11, 0, -1, 6, -6, 1, 2, -4],\n [-2, -1, 6, 0, 0, 3, -8, -6],\n [-2, 2, -6, 0, 10, 2, 0, 10],\n [-1, 10, 1, 3, 2, -2, 6, -7],\... | 622999196 | MATH |
[
{
"content": "Find the value at position (4, 1) of the 7th power of the matrix:\n[[5, -2, 0, -7, -4, 3, -9, -11],\n [-6, 2, 12, -7, -2, 7, 4, -9],\n [6, -6, -2, 0, 8, -10, 1, -11],\n [5, -8, 0, 0, 11, 11, 1, -1],\n [8, 0, 5, 0, -9, 10, 9, -3],\n [10, -8, 5, -5, 1, -11, -5, 3],\n [-6, -10, -9, -6, -9, -4, 10, 4]... | -174393075 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[8, 0, -5, 2, 0, 0, 9, 1],\n [0, 9, 1, 8, -2, 4, -2, -12],\n [-5, 1, 9, -4, -2, -1, 8, 2],\n [2, 8, -4, 8, -3, -2, 10, -1],\n [0, -2, -2, -3, 9, -6, -5, -8],\n [0, 4, -1, -2, -6, 6, -4, -6],\n [9, -2, 8, 10, -5, -4, 11, -4],\n [1, -12, 2, -1, -8, -6, -4, 9]], d... | 31607471 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the value at position (5, 1) of the result:\nA =\n[[-5, -4, 7, 2, -10, 6, 4, -3],\n [-4, 9, -6, -2, -6, 3, -4, 0],\n [7, -6, 11, 4, -2, 2, 2, 6],\n [2, -2, 4, 7, -8, 6, -5, 4],\n [-10, -6, -2, -8, -6, 3, 4, 1],\n [6, 3, 2, 6, 3, 12, -6, 0],\n [4, -4, 2, -5, ... | -2361808 | MATH |
[
{
"content": "What is the value at position (2, 6) of the matrix A^7 where A is:\n[[7, -3, 0, 4, -5, 1, 0, -4],\n [-3, 2, 8, -6, 2, 0, -1, -5],\n [0, 8, -1, 3, -3, 2, 6, 6],\n [4, -6, 3, 1, 0, 1, -4, -2],\n [-5, 2, -3, 0, -6, 0, 6, 8],\n [1, 0, 2, 1, 0, 2, -6, 8],\n [0, -1, 6, -4, 6, -6, 9, -6],\n [-4, -5, 6, -... | 220620388 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[4, 4, -7, 4, -8, 2, 0, -1],\n [4, -7, 2, -1, 6, 4, -2, -4],\n [-7, 2, 1, 0, -4, 1, -4, 0],\n [4, -1, 0, -9, -10, -5, 6, -1],\n [-8, 6, -4, -10, 9, 0, -10, -6],\n [2, 4, 1, -5, 0, 0, 4, 5],\n [0, -2, -4, 6, -10, 4, 12, -6],\n [-1, -4, 0, -1, -6, 5, -6, 5]], det... | -20501304 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[6, -3, 4, 1, -2, -6, 0, 0],\n [-3, 6, 4, 1, 0, -1, 2, 4],\n [4, 4, -12, 6, 6, 0, 5, -4],\n [1, 1, 6, -9, -2, -6, -1, 0],\n [-2, 0, 6, -2, 0, 2, -4, 0],\n [-6, -1, 0, -6, 2, -11, 1, -12],\n [0, 2, 5, -1, -4, 1, -6, 10],\n [0, 4, -4, 0,... | -2875652 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[-8, 4, 6, -8, 10, 8, 1, -3],\n [8, -6, -5, -5, -6, 0, 1, 6],\n [-2, -11, 4, -7, -4, 6, -8, -4],\n [12, -6, -9, 5, 5, 7, 4, -9],\n [9, 3, 9, 10, -8, -4, -11, -11],\n [-9, 7, 7, 4, 7, 8, 12, 6],\n [-10, -8, -3, -7, -1... | 25532353692 | MATH |
[
{
"content": "Find the value at position (6, 5) of the 5th power of the matrix:\n[[-4, -7, -1, 5, 10, 2, 6, -4],\n [9, 11, 0, 3, 0, -12, 5, 9],\n [-10, 4, 9, -8, 12, -7, 8, 4],\n [4, -12, -6, 9, 3, -8, 3, -9],\n [-2, 1, 0, 11, -5, 8, 7, 2],\n [5, -6, 8, 6, 12, -4, -2, -3],\n [1, 3, -5, -12, -1, -10, -11, 3],\n ... | 625262 | MATH |
[
{
"content": "What is the value at position (7, 7) of the matrix A^7 where A is:\n[[7, -5, 5, 12, 5, 5, -11, -1],\n [-3, -5, 6, -3, -2, 1, 2, 11],\n [10, -3, -9, -6, -2, 11, 9, 9],\n [-10, -8, -11, -1, 8, -8, -6, -9],\n [-2, 9, -4, -9, 9, -4, -1, 3],\n [-12, -5, -12, 7, 6, -9, 1, 10],\n [1, -4, -4, 4, 2, -3, 4,... | 79174851 | MATH |
[
{
"content": "Find the value at position (2, 3) of the 6th power of the matrix:\n[[-12, 0, 1, 3, -6, -3, 2, -5],\n [-2, 11, 1, 0, 10, 0, -4, 4],\n [5, 6, 0, -1, 8, 7, 7, -5],\n [11, -2, -6, -12, -3, 2, -9, -12],\n [-2, -8, 6, 6, -9, -11, -6, 0],\n [7, 8, -1, -11, 9, -4, 3, -5],\n [11, 5, -9, 11, -2, 4, -5, 6],\... | -7230750 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[-9, 2, 4, -2, -7, -10, -4, -1],\n [2, -7, 0, 4, -4, 2, 11, 0],\n [4, 0, -3, 4, 10, 6, -2, -7],\n [-2, 4, 4, 9, 6, -1, 7, 1],\n [-7, -4, 10, 6, -12, 0, -4, -12],\n [-10, 2, 6, -1, 0, 6, -2, 6],\n [-4, 11, -2, 7, -... | 851439483 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[-7, -1, 4, 8, 2, -6, 2, -4],\n [-1, 6, 5, -6, 4, 0, 6, -6],\n [4, 5, -6, -3, 1, -3, -8, -2],\n [8, -6, -3, -8, 4, 9, 4, 0],\n [2, 4, 1, 4, 4, 0, 3, 1],\n [-6, 0, -3, 9, 0, -11, -8, 6],\n [2, 6, -8, 4, 3, -8, 6, -8],\n [-4, -6, -2, 0, 1, 6, -8, -3]], determine ... | 170482679 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[-7, -2, 0, 0, 0, -1, 3, -5],\n [-2, -6, 3, 3, -4, -2, 1, 0],\n [0, 3, 8, -4, 2, 6, -4, 1],\n [0, 3, -4, 7, 4, 2, 0, -6],\n [0, -4, 2, 4, 2, 8, -10, 3],\n [-1, -2, 6, 2, 8, -7, 0, 4],\n [3, 1, -... | 196810804 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[5, -2, 3, -6, -7, 4, -10, 9],\n [-2, -1, -6, -1, -7, 4, 1, 0],\n [3, -6, -11, -5, 5, 1, -6, 4],\n [-6, -1, -5, -6, -2, 3, 2, -2],\n [-7, -7, 5, -2, -8, -3, -1, 6],\n [4, 4, 1, 3, -3, 3, 7, -6],\n [-10, 1, -6, 2, -1, ... | 107528670855 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-7, -5, 0, 10, 7, -9, -8, -3],\n [-8, -1, -12, 11, -3, -8, 6, 6],\n [7, -1, 10, 3, -8, 4, 1, -1],\n [0, 8, 1, -8, 9, 10, -8, 5],\n [1, 5, 7, -12, -6, 4, -10, -3],\n [-6, -1, 9, 2, 10, 8, 3, -5],\n [-7, -9, -2, 4, -11, -7, -9, -10],\n [-6, -6, 3, -11, -5, 2, 3,... | -1378172747 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[-3, -2, -2, -6, 3, 2, -1, -1],\n [-2, 1, 6, 5, 0, 6, 0, 0],\n [-2, 6, 1, -2, 0, -4, 4, -6],\n [-6, 5, -2, 12, -4, 6, 4, -3],\n [3, 0, 0, -4, -1, 2, -4, 2],\n [2, 6, -4, 6, 2, 3, 6, 2],\n [-1, 0, 4, 4, -4, 6, 1, -6],... | 37626256 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[-11, 8, 5, 8, -3, -7, 11, 9],\n [-9, 6, 1, 1, 5, 4, 5, 5],\n [-8, -4, -12, -9, -6, -2, 1, -3],\n [6, -5, -10, -5, 5, -8, 7, -2],\n [-4, 6, -1, -8, 3, 12, 0, -7],\n [3, 5, 4, -1, -12, -6, 1, 5],\n [10, -12, 7, -3, 2,... | 9647309263 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[2, -2, 0, 5, -5, -4, 9, -2],\n [4, -12, -2, -6, -5, 6, 12, -9],\n [-9, 6, 11, -4, 4, 5, -12, 1],\n [-9, -3, 10, 1, -6, -1, 9, 3],\n [-8, -2, -9, 0, -5, -6, -2, -2],\n [4, 9, 1, -11, 7, 8, -5, 9],\n [-11, 8, 2, -8, -7, 4, -5, 6],\n [-8, 10, 6, 1, -3, 0, 9, -8]]... | -187274 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[-6, -3, -2, -10, 0, -11, -9, -10],\n [2, -9, 10, 8, -9, 2, -7, 10],\n [-8, -1, -6, -10, -6, -1, 2, 6],\n [-7, -5, -7, -10, -8, -4, 11, 3],\n [9, 3, -4, 5, 0, -2, 12, -3],\n [-3, -7, 3, 12, -1, -9, -8, -11],\n [6, -12, -9, -1, -11, -1, 3, -11],\n [4, -11, -9, -... | -18725578 | MATH |
[
{
"content": "What is the value at position (2, 8) of the matrix A^5 where A is:\n[[7, -1, -8, 1, 3, -2, -1, 6],\n [4, 11, -6, -4, 1, 7, -1, 2],\n [-1, 8, 8, 10, 0, -4, 11, -6],\n [-12, -3, -7, 2, 2, -4, 0, 10],\n [-12, -4, -10, -4, 7, 12, 2, 11],\n [-6, -9, 12, 7, 4, 9, -9, 6],\n [-8, 3, -10, -2, 12, 9, 2, 6],... | 135148 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[4, 3, -11, -2, -9, -7, -6, 4],\n [-5, -12, 12, 2, 7, -1, 2, 10],\n [9, 2, -4, 3, -11, 2, 2, -6],\n [8, 0, 10, 4, -2, -3, 12, -12],\n [1, -8, -5, -12, -6, -11, -6, -6],\n [-4, 9, -9, 10, -6, 7, 5, 0],\n [-2, -4, 1... | -416811499 | MATH |
[
{
"content": "What is the value at position (3, 3) of the matrix A^7 where A is:\n[[11, -7, -3, 1, 7, -10, -6, -11],\n [-6, 4, 0, 8, -4, 0, 2, 0],\n [4, -5, -4, -4, -5, 3, 7, -6],\n [4, -6, -7, -8, 4, -5, -12, 3],\n [4, -10, 0, -5, 3, 11, -6, 8],\n [2, 11, -11, 11, -11, -3, -8, -9],\n [2, 0, 4, 8, 10, -12, 5, 2... | -93236437 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the value at position (4, 8) of the result:\nA =\n[[-6, 10, 1, 6, 0, -7, 4, -6],\n [10, -1, -1, 2, -4, -1, -7, 2],\n [1, -1, -5, 0, -2, 5, 4, -4],\n [6, 2, 0, -7, 8, 6, -2, 7],\n [0, -4, -2, 8, -12, 2, 3, -8],\n [-7, -1, 5, 6, 2, -9, -1, -4],\n [4, -7, 4, -2... | 5515925 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[0, -1, -4, -2, 6, -6, 3, -6],\n [-1, -3, -10, 8, -4, -4, 0, 6],\n [-4, -10, -11, -4, 0, 3, -5, 0],\n [-2, 8, -4, -1, 6, -10, -6, 10],\n [6, -4, 0, 6, -4, 8, 10, -6],\n [-6, -4, 3, -10, 8, -4, -3, -2],\n [3, 0, -5, -6... | 134714502 | MATH |
[
{
"content": "What is the value at position (1, 8) of the matrix A^6 where A is:\n[[1, -10, 5, 2, -9, 8, 4, -6],\n [-10, -4, 2, 2, -4, -11, -4, -4],\n [5, 2, -12, 1, 8, -6, -2, 0],\n [2, 2, 1, -6, 5, -6, -4, 10],\n [-9, -4, 8, 5, 6, -4, 0, 0],\n [8, -11, -6, -6, -4, -4, -5, -9],\n [4, -4, -2, -4, 0, -5, 2, 0],\... | 36840570 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[7, -8, 0, -5, 3, 5, 12, 3],\n [-12, -5, 8, -11, 11, -8, 2, 1],\n [-10, -6, -9, -2, -1, 2, -7, 11],\n [-12, 5, 1, 11, -6, -3, -4, -11],\n [-5, 9, -12, 7, -11, -6, 12, 3],\n [9, -9, 8, 4, -9, -10... | 1209236865 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[7, 5, 3, -10, -4, -6, 6, -8],\n [6, -3, 7, -1, -5, -10, 6, -2],\n [-5, 0, 10, 10, -3, 5, -1, -6],\n [-2, -3, -10, -6, -9, -5, -5, -7],\n [0, -1, -10, -7, 9, 6, -2, -9],\n [2, -11, 2, 4, -11, -6, 3, -8],\n [3, 12,... | -6071856019 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the value at position (2, 1) of the result:\nA =\n[[7, -4, 10, 0, 4, -6, 2, -6],\n [-4, -3, 3, 6, 4, -2, -6, -4],\n [10, 3, 10, 2, -5, 2, 7, 4],\n [0, 6, 2, 1, 10, 1, -4, -8],\n [4, 4, -5, 10, -4, -1, 2, 6],\n [-6, -2, 2, 1, -1, -2, -1, 2],\n [2, -6, 7, -4, ... | 15028604 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-7, 0, 11, -1, 2, -10, -2, -6],\n [0, -3, 2, 8, 2, -6, 8, -2],\n [11, 2, -2, -8, 7, -1, 4, -5],\n [-1, 8, -8, -7, -3, 2, -4, 0],\n [2, 2, 7, -3, -11, -10, 9, 7],\n [-10, -6, -1, 2, -10, -11, 8, 6],\n [-2, 8, 4, -4, 9, 8, 7, -2],\n [-6, -2, -5, 0, 7, 6, -2, -10... | 234287221 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-6, -1, 9, 9, 10, 11, -10, 6],\n [-3, -5, 3, 3, -1, 10, -8, 7],\n [-7, 12, -7, -5, 4, -1, 9, 1],\n [-11, 6, -7, 5, -9, 9, -8, -7],\n [2, -7, -5, -4, 8, 9, -7, 9],\n [-11, 3, 7, -12, 3, -12, -12, -6],\n [3, 4, 3, 3, -7, 5, 9, 9],\n [-10, -5, -9, 10, -9, 4, 9, -... | 1084035 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[12, 3, -4, 6, 3, 4, 10, 2],\n [3, 1, 8, -1, 4, 0, 0, -5],\n [-4, 8, 12, 5, -3, 9, 4, 6],\n [6, -1, 5, -2, 4, -1, -6, 6],\n [3, 4, -3, 4, 10, -2, 4, -8],\n [4, 0, 9, -1, -2, -10, 5, 6],\n [10, 0... | 2099754808 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -10, -8, 10, 4, -12, 8, -4],\n [10, 4, 0, 2, 8, -5, -5, -11],\n [10, -3, -8, 3, 12, 6, -12, 0],\n [-9, -6, -12, -11, 3, 1, -8, 12],\n [1, 4, -1, 7, -1, -10, 8, 8],\n [-11, 8, 12, 8, 2, -2, -... | 15788576293 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[10, 2, -2, -3, -10, 4, -4, 2],\n [1, 6, 4, 9, 7, 4, 3, 7],\n [-5, -6, -1, -12, -1, 12, -7, 3],\n [5, 6, 10, -10, -10, -8, -10, 6],\n [-8, 1, 8, 3, 12, -12, 4, -2],\n [-4, 8, -9, -11, -4, 9, 12, -8],\n [-9, 10, -8, 11... | 44661663119 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[11, -8, -12, -5, 12, -12, 8, -7],\n [7, 1, -2, -11, 8, -9, 0, -6],\n [-7, -10, -4, 1, 7, -2, -8, 1],\n [6, -5, -6, -6, 11, 10, -10, -10],\n [5, 0, -12, -8, -9, 3, 2, 5],\n [4, 1, 1, 6, -7, 0, 5, 2],\n [10, -6, 6, 4, -4, -2, -8, -11],\... | -257310 | MATH |
[
{
"content": "Find the value at position (7, 7) of the 7th power of the matrix:\n[[-6, -6, -3, -2, 2, 1, 2, 8],\n [-6, -8, 0, 9, -3, 4, -6, 0],\n [-3, 0, 12, -4, -8, 0, 2, 7],\n [-2, 9, -4, -9, -2, -2, 3, 1],\n [2, -3, -8, -2, 5, 4, 2, 4],\n [1, 4, 0, -2, 4, 5, 2, 0],\n [2, -6, 2, 3, 2, 2, -8, 4],\n [8, 0, 7, 1... | -456600843 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[-10, 9, -12, -10, -2, 5, -6, -4],\n [-9, 10, 11, -3, 5, 10, 3, -1],\n [6, 11, 9, -10, -5, 6, -4, 6],\n [4, 0, -11, -9, -2, -11, -9, -9],\n [7, -12, 12, -2, 10, -11, 6, -5],\n [10, 7, -9, 12, 3, 2, -8, -8],\n [2, 10, ... | 1688385742 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-7, 9, -10, 2, 2, -2, 4, -2],\n [9, 7, 2, -10, -4, -8, 6, -5],\n [-10, 2, -6, 5, -4, -9, -7, -2],\n [2, -10, 5, -1, 10, -4, 2, -1],\n [2, -4, -4, 10, -7, 1, 2, -2],\n [-2, -8, -9, -4, 1, -8, 0, -9],\n [4, 6, -7, 2, 2, 0, 8, 2],\n [-2, -5, -2, -1, -2, -9, 2, 4]... | 1979055 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[-4, -1, 2, 7, -11, -4, 1, -9],\n [-9, -7, 11, -8, 11, 4, 0, 7],\n [4, 6, 10, -12, 8, 4, 9, 12],\n [-10, 1, -1, 2, -7, 7, 9, -11],\n [-9, 0, 0, 10, 9, 12, 10, 4],\n [-7, -2, 6, 3, -5, -12, -3, -11],\n [6, 1, -10, ... | 2392954 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[5, 1, 4, -11, 6, 9, -4, -5],\n [-3, -4, -5, -6, 9, 11, -7, -11],\n [-4, -4, 6, -4, -11, 6, 3, 9],\n [1, 7, 11, -12, 0, 9, -11, 9],\n [1, -12, 2, 5, -4, 9, -5, -6],\n [-4, -4, -2, -9, -6, 8, -6, -9],\n [-1, 4, 7, -10, -4, -8, 7, 3],\n [-5, 8, 3, 6, 3, 5, 2, 11]... | -598868524 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[5, 1, 11, 3, -8, -5, 3, 8],\n [-12, -2, -2, -11, 9, 6, 11, -8],\n [-10, 10, -5, -9, 0, 12, 9, 1],\n [-12, -8, 8, -6, 10, -7, 2, 2],\n [-5, -11, 1, 3, 10, -3, 2, 10],\n [-9, -1, -3, -11, -9, 7, -7, 1],\n [10, -10, 2, -12, 6, 12, -12, 0],\n [-5, 5, 9, -10, 10, 5... | 339169 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[-7, 7, -11, 12, -9, 12, 5, -6],\n [-2, -8, -5, -2, 11, 7, 7, 2],\n [11, -10, -6, 11, -5, -2, -3, 7],\n [-4, 2, 7, 11, 9, -8, 2, -9],\n [-8, 2, 4, 10, -5, 12, 6, -4],\n [-3, -8, -3, 9, -12, 12, 12, 9],\n [11, -9, ... | 1439959001 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[7, 1, 3, 5, -3, 10, 2, -3],\n [-12, 6, -11, 0, 12, 3, -5, -10],\n [8, 6, 1, -2, -1, -2, -2, 9],\n [8, 5, -3, 3, -5, -7, 6, 0],\n [2, 0, -12, 8, -11, 0, -11, 12],\n [-2, 0, -3, 10, 9, 2, -12, 1],\n [-3, 5, -2, -6, 2, ... | 20644514255 | MATH |
[
{
"content": "What is the value at position (6, 4) of the matrix A^7 where A is:\n[[7, 6, -10, -4, 4, -2, 5, -4],\n [6, 8, 6, -1, 0, 1, 7, -4],\n [-10, 6, -6, -4, 12, 6, 1, -12],\n [-4, -1, -4, 6, -2, -6, 0, 2],\n [4, 0, 12, -2, 2, 0, 0, 2],\n [-2, 1, 6, -6, 0, 6, 0, -4],\n [5, 7, 1, 0, 0, 0, 8, -5],\n [-4, -4,... | -505323144 | MATH |
[
{
"content": "What is the value at position (4, 7) of the matrix A^7 where A is:\n[[-1, 11, -1, 4, 9, 9, 6, -4],\n [-1, 8, 4, 10, -3, 6, -2, 7],\n [9, 11, 0, -9, 2, -1, 12, 11],\n [-3, 9, -6, 11, -11, 8, -6, -5],\n [8, 6, -7, 8, -5, 12, 12, 9],\n [7, -9, 12, 7, 11, -4, -8, -7],\n [6, -1, -8, -8, 5, -7, -4, -2],... | 317745798 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-8, 0, -10, -9, 10, 6, 2, -4],\n [0, 3, 2, 10, 4, -1, 2, 2],\n [-10, 2, 3, -2, -5, 6, 6, 5],\n [-9, 10, -2, 8, 6, 9, 2, 3],\n [10, 4, -5, 6, -11, 4, 5, 8],\n [6, -1, 6, 9, 4, -1, -4, 2],\n [2, 2, 6, 2, 5, -4, 8, 4],\n [-4, 2, 5, 3, 8, 2, 4, 2]], determine the ... | 1311698 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[10, -10, 6, 2, 3, 9, 9, 4],\n [-12, -2, -7, 10, -4, 7, 3, -7],\n [-1, 6, 0, 0, -9, -4, 1, 1],\n [4, -8, 10, 6, -11, 0, -2, -11],\n [-12, 8, -10, -1, -6, -12, -4, 5],\n [11, 7, -7, -4, 10, -5, 10, 5],\n [12, 2, -12, 1, 5, 6, 6, -3],\n [7, 8, -7, 4, 1, 0, -5, 9]... | 11770894 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-3, -6, 0, 10, -9, -8, -6, 4],\n [-6, 9, -4, -8, -9, 0, -2, -1],\n [0, -4, -6, -4, -2, -1, -4, -8],\n [10, -8, -4, -12, 6, 1, 7, 6],\n [-9, -9, -2, 6, -7, 0, -2, 3],\n [-8, 0, -1, 1, 0, -3, 1, 6],\n [-6, -2, -4, 7, -2, 1, -10, 4],\n [4, -1, -8, 6, 3, 6, 4, 3]]... | 132326075 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[2, -1, 3, 7, 6, -8, -1, -8],\n [-3, 4, 2, -5, -5, -5, -3, 7],\n [0, 3, -4, 3, -3, -10, 10, 9],\n [12, 1, 0, -9, -9, -7, 11, 6],\n [-2, -5, 1, -5, 1, 10, -6, 8],\n [5, -1, 1, 2, 5, -1, -3, -1],\n [-5, -7, 11, 6, -12, ... | 20273782738 | MATH |
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