messages listlengths 1 1 | ground_truth stringlengths 6 14 | dataset stringclasses 1
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[
{
"content": "Calculate the matrix power A^7 and find the value at position (6, 5) of the result:\nA =\n[[-2, -5, -4, 4, 0, -4, -12, -13, -4, -5],\n [-12, 12, -10, 0, -11, 2, -14, -14, -3, -5],\n [-6, -6, 10, 11, 5, 5, -1, 11, 8, 14],\n [4, -5, -12, 5, 12, 7, 2, 12, -12, -3],\n [0, -10, 12, 0, 5, 9, 1, -6, -7, ... | -4318587077 | MATH |
[
{
"content": "Find the value at position (1, 3) of the 6th power of the matrix:\n[[-2, 0, -2, 4, 0, 2, -4, 7, -4, 6],\n [0, -11, -3, 4, -4, -4, 2, -10, -2, -4],\n [-2, -3, -1, -10, -2, 0, -2, 10, 14, -5],\n [4, 4, -10, -14, 6, 4, -3, 6, -4, -7],\n [0, -4, -2, 6, -4, -2, -2, -4, -2, -1],\n [2, -4, 0, 4, -2, 8, 1... | 615398 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-11, 5, -6, -6, -1, 12, 11, 9, 12, -7],\n [8, -14, 9, -4, 12, -11, 14, 2, 2, 4],\n [-2, 4, 11, 2, 9, 5, -3, 5, -1, 7],\n [-6, 10, -3, 9, 2, 1, -3, -5, 11, -13],\n [-12, 12, -10, 1, 6, -2, 11, 9, 3, -13],\n [9, -14, -6, 3, 13, -10, -12, -10, -3, -7],\n [-7, 7, ... | -89168619146 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[11, -6, 7, -2, -9, -3, -4, -2, -2, 5],\n [-6, -14, 14, 8, 7, 6, 1, -2, 12, 14],\n [7, 14, -7, 2, 0, 9, 3, -2, 0, 7],\n [-2, 8, 2, 3, 0, -12, -5, 10, 4, 7],\n [-9, 7, 0, 0, -12, 0, -2, 5, -4, 0]... | 617238997040 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[-5, 4, 4, 2, -2, 0, -4, 6, 10, 6],\n [4, 10, 2, 0, 1, 9, -2, -10, -5, 5],\n [4, 2, 4, 3, 2, -3, 2, -10, -1, -3],\n [2, 0, 3, 10, -11, -4, -3, -10, 9, -7],\n [-2, 1, 2, -11, -4, 0, -8, 12, 0, -4],\n [0, 9, -3, -4, 0, ... | 10518760904 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[5, 4, -9, 9, 5, 6, -10, 0, 10, -2],\n [4, -8, -4, 10, 0, -4, 10, 1, -4, 6],\n [-9, -4, 2, -10, 0, 0, 6, -4, 11, 0],\n [9, 10, -10, 7, -12, 0, -8, 0, 0, -4],\n [5, 0, 0, -12, -14, 6, 13, 2, -10, 8],\n [6, -4, 0, 0, 6,... | 29784796099438 | MATH |
[
{
"content": "Find the value at position (8, 4) of the 7th power of the matrix:\n[[-11, -2, -7, 6, 7, -7, 10, 10, 8, 10],\n [-2, -1, -2, -1, 3, -6, 1, 0, 12, -8],\n [-7, -2, 11, -8, 12, -1, 10, -2, 8, 0],\n [6, -1, -8, -7, 12, -4, -12, 1, 4, 0],\n [7, 3, 12, 12, 6, 1, 0, -2, -4, 0],\n [-7, -6, -1, -4, 1, -6, -6... | -194924665 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 0, 12, -5, 6, 4, -11, 7, -9, 0],\n [-9, 3, -4, -3, -7, 9, 7, -1, -11, 3],\n [-9, -9, 11, 4, -13, -11, 9, -10, 0, -12],\n [14, 1, -2, -3, 6, -6, -4, -7, 13, 11],\n [-8, -11, -13, 13, 10, 4, 7... | 7461514650 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[-10, 10, -5, -10, 7, -5, 10, -10, 5, 13],\n [6, -4, 14, -10, -10, 2, 6, -10, -14, -2],\n [-11, -7, 5, 8, -9, 0, 0, 6, 1, -6],\n [14, 9, -10, 11, 8, 1, 12, 10, -8, -12],\n [-5, 12, 1, 6, -3, -6,... | 6834969632776 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the value at position (7, 5) of the result:\nA =\n[[13, -4, 2, -5, -4, -1, 0, -5, 2, -10],\n [-4, 10, -12, 4, -14, -4, 6, 4, -6, 1],\n [2, -12, 8, 6, 2, 3, 10, 11, 1, -2],\n [-5, 4, 6, 3, 10, 10, -8, 6, 7, 0],\n [-4, -14, 2, 10, -8, 4, -5, -8, 11, -7],\n [-1... | -34109745 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[14, -12, 0, 9, 3, 0, 12, -11, -12, 13],\n [-8, 9, 5, 7, 4, 8, -7, -8, -11, -5],\n [13, 10, -5, 0, 9, 7, 3, -5, 8, -6],\n [10, 10, -6, 7, 1, 2, 1, -9, -10, -8],\n [-2, -7, -14, -5, 5, 5, 14, -14, 12, 5],\n [8, -1, 0, -9, 5, -13, 13, 14, -8, 9],\n [10, 10, 5, 4,... | 1805750778376 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[-2, -2, -5, 9, -8, -1, -3, -4, 4, 2],\n [-2, -11, 11, 4, -4, 2, 0, -7, -4, 2],\n [-5, 11, 4, 8, 8, -2, -2, -1, 4, 4],\n [9, 4, 8, -4, -10, -4, -9, 0, -10, -4],\n [-8, -4, 8, -10, -3, -5, -4, 4, -3, 4],\n [-1, 2, -2, -4, -5, 5, -4, -4,... | 946627587 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[-11, -11, 14, -6, 0, -3, -6, -12, 12, 0],\n [10, 6, -4, -9, 0, -8, 4, -1, -11, 6],\n [-14, 9, 12, 8, -2, -4, 13, 14, 3, 8],\n [13, -6, 6, -4, -9, 1, -10, -14, 7, -1],\n [8, 6, 4, -9, 13, -3, 12, -8, -5, -5],\n [13, 10, -2, -8, 4, -14, 0, -1, -2, -8],\n [-3, -7... | 780093459 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (2, 10) of the result:\nA =\n[[7, 4, 2, 0, 3, -6, 1, 6, -6, 5],\n [4, -6, 0, -3, 0, 10, 2, 5, 0, -7],\n [2, 0, -1, 4, 9, 6, 7, -2, -4, -8],\n [0, -3, 4, 8, 2, 2, 10, -2, 0, -6],\n [3, 0, 9, 2, 10, 4, 8, -11, -8, -4],\n [-6, 10, 6, 2, 4,... | -1373032255 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[8, -5, -12, 1, -9, -11, 5, -6, 14, -8],\n [1, -9, -3, 10, 14, -12, -3, 5, -1, -1],\n [-6, -11, 8, 10, 5, 10, 0, -8, 5, 4],\n [-9, 4, -8, -14, -8, -12, 10, -9, 8, 10],\n [-9, 11, -4, -13, -9, 7,... | 31745596260716 | MATH |
[
{
"content": "What is the value at position (3, 4) of the matrix A^7 where A is:\n[[12, -11, 0, 0, 14, -11, -13, 8, 11, -12],\n [13, -5, -14, 3, -10, -6, 5, -9, 4, -6],\n [3, 9, 0, 0, 12, -1, -12, -7, 4, -4],\n [13, 13, -11, 0, 9, -5, 5, -4, 10, -6],\n [7, 2, -6, 10, 14, 8, -6, 9, 10, -6],\n [8, 7, -13, -2, 8, ... | -2618186476 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[12, -4, -2, -4, 2, 4, 0, -1, 8, 4],\n [-4, 14, -2, 0, 12, 0, -4, 2, 0, 3],\n [-2, -2, -14, 4, 6, 0, 7, -4, -3, -12],\n [-4, 0, 4, 9, 10, -3, 8, 8, 4, 2],\n [2, 12, 6, 10, 6, 0, 3, 2, -2, -5],\n [4, 0, 0, -3, 0, -5, ... | 179883756842 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[0, -6, 9, -4, -1, 10, 0, -9, -2, -1],\n [-6, -2, 4, -2, -6, -2, -4, 0, 1, -4],\n [9, 4, -13, -3, -3, -2, -3, 6, -4, -3],\n [-4, -2, -3, -9, -6, -6, 1, -10, -7, 6],\n [-1, -6, -3, -6, -11, 4, -12, -7, -2, -2],\n [10, ... | 591590468200 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[-2, -7, 13, -1, -12, -11, -4, -8, 6, -10],\n [-13, -9, 5, -10, 0, -4, -10, 3, -7, -4],\n [2, -1, -13, -8, 8, 3, -14, 0, 14, 11],\n [-14, 2, 7, 11, 13, -8, 1, -13, 0, 7],\n [5, 14, 10, -4, 9, 9, -13, -4, 6, 1],\n ... | -1197991625 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[-6, 4, -4, -9, 0, 2, -3, 9, -13, 6],\n [7, -11, 10, -12, -13, 4, -10, 2, 1, 1],\n [11, -3, -11, 2, 10, 4, -13, -10, -14, 11],\n [-1, 8, -6, 2, -3, 9, 9, 8, 11, 5],\n [-3, 0, 1, 8, 3, 7, -1, -3, -4, 0],\n [6, 6, 12, -7, 2, -7, -11, 14, -5, -9],\n [-9, 2, -7, -2... | 1275697006 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[-10, -2, -4, -3, 6, -5, 9, -7, -4, 2],\n [-2, 6, 0, 0, -8, 6, 3, -12, 10, 2],\n [-4, 0, 5, -10, 6, 0, 0, -6, 6, 6],\n [-3, 0, -10, 0, -8, -2, 5, 9, 4, 5],\n [6, -8, 6, -8, 5, -2, 0, 9, -2, -4],... | 564416171428 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[14, 4, -8, 4, 7, -4, 6, -2, 2, 2],\n [4, 1, -3, 10, 6, -4, -2, 4, 2, -10],\n [-8, -3, 10, -7, 5, 0, -1, -3, -3, -8],\n [4, 10, -7, -9, 0, -6, 6, 0, 10, 4],\n [7, 6, 5, 0, -7, -1, 3, -1, 5, 4],\n [-4, -4, 0, -6, -1, ... | 16505092511 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[11, 8, 9, -4, 3, -1, 2, -4, -1, 10],\n [8, -3, 8, 0, -8, -6, -4, 3, 0, 3],\n [9, 8, 6, -4, 0, -2, -2, 2, 3, 1],\n [-4, 0, -4, -6, -10, -11, -4, -9, -10, 6],\n [3, -8, 0, -10, 13, 0, -9, -2, 8, 6],\n [-1, -6, -2, ... | 27815453875 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[-12, 4, 13, -14, -11, 9, -4, -8, -8, -1],\n [0, -10, -1, -2, 5, 11, 7, 3, -14, -2],\n [8, 14, 5, -8, -9, 12, -6, 13, -5, 7],\n [-12, -8, 10, -4, 11, -3, -3, -2, 7, 8],\n [-7, -11, 6, 5, -14, -9... | 9265484195445 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[-12, 1, 1, 4, 10, -6, 14, 5, -14, 2],\n [-3, -6, 7, -10, 14, 13, 0, 11, -2, 4],\n [-12, -13, -2, -8, -6, 7, -5, -14, 7, 1],\n [-4, 9, -7, 11, -2, 1, -12, -2, 2, 6],\n [-9, -5, -6, 3, 2, -8, -13, -4, 3, -12],\n [-... | 46428379621 | 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, 10, -1, 14, -8, -9, 12, -9, -3],\n [7, 0, 11, 10, 4, -11, -12, -2, 10, 1],\n [-2, 6, -5, -2, -7, -3, -7, -6, -5, -8],\n [-12, -10, -12, 3, 4, 13, -5, -6, 10, 9],\n [-8, -14, 10, -5, -13... | 301668815301 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[10, 2, 14, -8, 4, -10, 6, -9, -8, -4],\n [2, -9, 2, 1, 2, -6, -4, -9, -9, -4],\n [14, 2, -12, -4, -1, -5, -1, 1, 3, -6],\n [-8, 1, -4, 5, -7, -2, 4, -12, 2, 0],\n [4, 2, -1, -7, -13, 0, 2, 0, 0, -2],\n [-10, -6, ... | -45518005063 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (9, 4) of the result:\nA =\n[[4, -8, -1, -3, 2, -4, -2, 3, 4, 5],\n [-8, 8, 11, 8, -1, 2, -2, -1, -12, 5],\n [-1, 11, -4, 2, -2, 0, 10, -8, 8, 5],\n [-3, 8, 2, -4, 0, 4, -6, 9, 2, 10],\n [2, -1, -2, 0, -9, 4, 6, 14, 2, 7],\n [-4, 2, 0, ... | -1278411448 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[13, 1, 6, -1, 8, 4, 3, -4, 12, 6],\n [1, 1, 5, -6, -7, -9, -12, 0, -2, -2],\n [6, 5, 13, 0, 0, -2, -4, 0, 1, 12],\n [-1, -6, 0, -5, -1, 0, -2, -1, -4, -9],\n [8, -7, 0, -1, 3, -2, -13, 2, 6, 5],\n [4, -9, -2, 0, ... | 8949386804 | MATH |
[
{
"content": "Find the sum of all entries of the 6th power of the matrix:\n[[8, -3, -14, 11, 10, 7, 5, -13, -6, 7],\n [10, 3, -10, 7, -1, -4, 6, 7, -12, -6],\n [-13, -1, 13, -13, 6, 12, -5, 4, 14, 14],\n [-13, 1, -9, -3, 7, -8, -11, -7, 4, -5],\n [-14, -10, -9, 12, 14, 4, 3, 4, 4, 8],\n [-14, 12, 5, -4, -12, -5... | 284280303 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 2, 3, 4, 6, -7, -2, 12, -4, 14],\n [4, -8, 12, 12, -10, -10, -7, -5, -10, 11],\n [0, 8, 1, 14, 13, -5, 9, -7, 4, -11],\n [-1, 14, -7, 6, -1, -3, -14, 8, 4, 3],\n [-3, -5, 6, -14, -1, -6, 11,... | 104065550162 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[-10, 8, 0, 12, 6, -3, 0, 12, 1, 8],\n [8, -7, 2, -2, 1, 0, 6, 6, -2, -8],\n [0, 2, 3, -1, 8, -4, 2, -10, 6, -4],\n [12, -2, -1, -8, -1, 5, 2, 6, -4, -3],\n [6, 1, 8, -1, -9, 5, 1, -3, -2, -1],\n [-3, 0, -4, 5, 5,... | 562884853 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[-14, 10, 6, 0, 4, -13, 13, 9, 9, -1],\n [7, -13, 12, 0, -14, 7, -14, -3, 7, 0],\n [11, 3, 0, -8, -3, -5, -13, -13, -9, 5],\n [-9, 13, 9, 12, -5, -12, 1, -10, -10, -5],\n [10, 8, -2, 10, 9, -12, 3, 4, -9, 12],\n [13, ... | 3549447440793 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[-10, -9, 8, -10, -6, 13, -4, 10, 8, 11],\n [-12, 5, -11, 8, 0, 3, 12, -10, -4, -4],\n [-11, 1, 11, -4, 10, -14, 11, -2, 4, -9],\n [12, 5, 4, -9, -2, -4, 4, -8, -3, 1],\n [-14, 10, 0, -2, -5, 3, -11, 7, -9, 12],\n... | -9091182727 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[8, 0, 2, 2, -6, 0, 12, 3, 4, 5],\n [0, 14, 7, 9, -4, -1, -10, 3, 11, 4],\n [2, 7, -2, -2, -6, -9, -7, 1, 0, 2],\n [2, 9, -2, -4, -9, 6, -2, 8, 6, 1],\n [-6, -4, -6, -9, -13, -2, 6, 2, -8, -4],\n [0, -1, -9, 6, -2, 9, 8, -4, 2, -3],\n [12, -10, -7, -2, 6, 8, 3,... | 2358939176 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[2, 4, -1, -10, -2, 2, 6, -4, 2, -1],\n [4, -10, 0, 6, 12, 4, 0, 3, 2, -7],\n [-1, 0, 11, -7, -6, 2, 2, 4, -6, 2],\n [-10, 6, -7, -7, -9, -10, -12, -8, 12, -2],\n [-2, 12, -6, -9, 5, -2, -4, 2, 0, 8],\n [2, 4, 2, -10, -2, 9, -10, -6, 8, -2],\n [6, 0, 2, -12, -4... | -217517687138 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[-4, 2, -3, -4, 6, -3, 1, 0, 2, 2],\n [2, -8, 4, 0, -2, -6, 4, 2, -12, 3],\n [-3, 4, 1, 10, 9, 5, 0, 2, -4, 2],\n [-4, 0, 10, -4, -1, 4, 3, -9, -8, 4],\n [6, -2, 9, -1, -8, 5, 0, 0, 0, 12],\n [-3, -6, 5, 4, 5, -5, 10,... | 3794573054 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-6, -9, -5, 10, -9, -6, -2, 1, 1, 4],\n [-10, -4, 6, 0, 14, 11, -7, 0, -4, 14],\n [-2, 12, 8, -13, 12, -13, 8, 11, -3, 11],\n [5, 7, -6, 11, 12, 5, 0, -8, 10, -1],\n [2, 11, 12, -13, 14, -6, -2, -10, -11, 8],\n [6, -14, -6, 9, 1, 4, 11, -12, -12, -8],\n [3, 10... | 255583589279 | MATH |
[
{
"content": "Find the value at position (10, 10) of the 6th power of the matrix:\n[[8, 3, 5, -14, -13, -8, -10, 11, 4, -13],\n [-12, 5, -5, -5, 6, -7, -6, -13, 13, -12],\n [1, -11, 8, -9, -2, -9, -5, 8, 2, -7],\n [-6, -13, 2, 5, -4, 3, 7, -12, -6, -7],\n [14, -8, 12, -8, 8, 6, -7, 5, -10, -12],\n [4, -13, -1, ... | 86916413 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-2, -7, 6, 8, 3, 8, -2, 3, 2, 3],\n [-7, -4, -1, -6, 3, -2, 0, 1, 5, -3],\n [6, -1, 5, 4, 0, -14, -6, -1, -2, -2],\n [8, -6, 4, -14, 6, 4, 5, 2, -8, -12],\n [3, 3, 0, 6, -8, 2, 12, 0, -10, -4],\n [8, -2, -14, 4, 2, -1, 2, 2, -2, 0],\n [-2, 0, -6, 5, 12, 2, -4,... | 170541738866 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[-9, -13, -2, 12, -13, -2, 0, 14, 3, -4],\n [-10, 14, 10, -1, 7, 1, -1, -6, -9, -6],\n [14, -10, -4, -3, 2, -9, 5, 10, -9, 0],\n [2, 7, -12, 4, 8, -13, -6, -6, -8, 10],\n [1, 12, -9, -6, 11, -2, -13, -1, -10, -4],\n [0, -9, 13, -9, 1, 12, 5, 14, -11, -10],\n [-... | 6002756103 | MATH |
[
{
"content": "Find the sum of all entries of the 7th power of the matrix:\n[[11, 0, -5, 7, 14, 4, 6, -7, 4, 10],\n [-6, 14, -8, -7, -6, 2, 0, 1, -8, -5],\n [4, -9, 10, -3, 0, -5, 12, 9, 3, -11],\n [-4, -10, -2, -5, 7, 14, -8, -4, -11, -11],\n [-10, 10, -6, -14, 14, 1, -10, -10, -8, -7],\n [4, -14, 3, 7, -4, 7, ... | -12019088547 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-3, 8, 12, 8, 4, 6, 3, 6, 9, -2],\n [-5, 4, -11, 9, 0, 3, -14, 4, -13, -5],\n [3, -11, 14, 14, 7, -5, 11, 6, -11, 9],\n [12, 6, 3, 5, 8, -11, 0, 7, 3, -6],\n [5, 14, 2, -12, -2, -8, -1, 11, 10, -9],\n [-1, -1, 14, -1, 5, 3, -6, -3, -1, 9],\n [8, 1, -13, 1, 3, ... | -1690541029 | MATH |
[
{
"content": "What is the value at position (6, 7) of the matrix A^8 where A is:\n[[3, -2, -4, 6, 0, -10, -10, -7, 12, 0],\n [-2, -8, -4, -2, 3, 8, -8, 4, 9, -2],\n [-4, -4, 0, -6, 6, 4, 7, 4, -5, -4],\n [6, -2, -6, 12, 2, 0, -2, 4, 1, 0],\n [0, 3, 6, 2, -5, 0, 0, 12, -12, -8],\n [-10, 8, 4, 0, 0, 0, 3, 8, -8, ... | 881620739923 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[-10, -2, 7, -14, 3, -8, 2, -7, 4, 1],\n [-1, 5, 8, -5, 8, -13, 6, 9, 1, 10],\n [-2, -10, 3, 5, -4, -10, 7, 13, 7, -2],\n [13, -14, -9, -4, -5, -14, 1, -2, 6, 12],\n [1, 0, -8, -1, 9, -4, 12, -2, -10, 3],\n [-12, -3, ... | 10117670530 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[5, 4, 8, 14, 0, -9, -2, 9, 3, 3],\n [-14, 6, 8, 10, 6, 12, -4, 1, -14, 4],\n [-7, 4, 8, 1, 11, -12, -13, -3, 14, -5],\n [7, -13, 11, 6, -10, -10, -9, -12, -5, -10],\n [9, 5, -10, 0, 2, 2, 9, 3, 11, -5],\n [8, -8, -4, -1, -6, 2, -13, 2, 2, 12],\n [5, 9, -5, 9, ... | 20516342088 | MATH |
[
{
"content": "Find the sum of all entries of the 8th power of the matrix:\n[[-9, 7, -8, 0, -1, 11, -5, -2, -6, 0],\n [7, -11, -3, -7, -6, 2, -5, -2, -10, 1],\n [-8, -3, 7, 1, 8, 1, -6, -7, -2, 0],\n [0, -7, 1, 6, 5, -10, 2, 9, -8, -4],\n [-1, -6, 8, 5, 3, -8, -2, -2, 6, 2],\n [11, 2, 1, -10, -8, -12, 6, 4, -6, ... | 271782924953 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the value at position (4, 5) of the result:\nA =\n[[-10, -6, 0, 6, 5, -9, -7, 5, -10, 11],\n [2, -5, 13, -14, 1, 9, 8, 6, 10, -14],\n [-12, -9, 2, 13, 7, -13, 11, -10, -4, -5],\n [0, 3, 2, -1, 13, 13, -2, 5, -13, 10],\n [-3, 12, -4, 4, -3, 10, -11, -5, -3, -... | -13960719 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[10, 13, -3, 8, 2, 11, 11, -6, -10, 3],\n [8, -6, -2, -12, -11, 10, 3, 5, 6, 0],\n [5, 8, -9, -6, -4, 14, 14, -2, -11, 12],\n [0, 10, 2, -3, -9, -8, 10, 2, -4, -3],\n [13, -2, -14, 3, 7, 4, -4, 7, 3, 14],\n [-5, -9, ... | 658443603104 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[-3, -12, -10, -1, 12, 0, -3, -11, 9, 1],\n [-4, -11, -9, 10, 1, -13, -2, -7, -3, 6],\n [11, -9, -12, 0, -7, -13, 1, -2, -14, -4],\n [13, -14, -7, -13, -2, 14, 6, -13, 12, -11],\n [10, -13, -2, -11, 14, 11, 6, 11, 0, 14],\n [11, 6, -3,... | -2753153904 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^8 where A is:\n[[-13, -6, -1, -8, 6, -9, 6, 1, -4, -4],\n [-6, -8, 2, 8, -1, 0, 2, 4, 4, -6],\n [-1, 2, -5, 1, 2, 6, 2, -8, -4, 0],\n [-8, 8, 1, -4, -4, -8, 11, 0, 0, 2],\n [6, -1, 2, -4, -11, 4, 10, 3, -11, 6],\n [-9, 0, 6, -8, 4, -4, 10, -8, 4, 1],\... | 2396857602210 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[11, 3, 8, 10, -7, -1, 3, 4, 9, -11],\n [7, 13, -1, -13, 2, -9, -7, 14, 1, 6],\n [-14, 11, 3, -12, 14, 14, 13, 3, 10, -5],\n [-13, 4, 10, -4, 4, 9, 9, 12, -12, -5],\n [1, 13, 11, -12, 9, 4, 5, 6, -8, 2],\n [-7, -12, -8, 12, -5, 12, 4, 10, 0, 11],\n [0, -10, -12... | 57173540790 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[8, 2, -3, -9, -2, 4, -4, -5, 7, -8],\n [2, -5, 8, -2, 2, -5, 0, 8, 7, -1],\n [-3, 8, 10, -2, 4, 7, 8, 4, 4, -2],\n [-9, -2, -2, -11, -2, 8, 4, 3, 0, 1],\n [-2, 2, 4, -2, -13, 4, -8, 5, -1, 13],... | 6382823767 | MATH |
[
{
"content": "Find the sum of all entries of the 6th power of the matrix:\n[[0, 0, 13, -8, 0, -8, -2, -3, 3, -8],\n [-8, 0, -6, -9, 11, 12, 11, -6, 4, 9],\n [5, 1, 1, 12, -14, 8, -2, 4, -11, 4],\n [7, -5, -2, -14, -2, -5, 0, 14, 0, -8],\n [11, -1, -7, 4, 10, 3, 0, 11, 12, 11],\n [-6, -3, 6, 7, -1, -13, -10, 7, ... | -471108465 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[-11, -10, -10, 2, 11, -10, 11, -4, -6, 0],\n [9, 9, -12, 1, -6, 10, 11, 8, -9, -6],\n [12, 7, 4, -9, -4, -13, 3, 13, -8, 9],\n [8, 6, -11, 9, 13, 10, -8, 2, -11, -2],\n [5, 11, 4, -11, 10, -2, ... | 4802568854543 | MATH |
[
{
"content": "Find the sum of all entries of the 8th power of the matrix:\n[[8, 3, -10, 1, 0, -11, -1, 2, 4, 2],\n [3, -13, 8, -8, -4, 0, 8, 7, -3, 0],\n [-10, 8, -3, -6, -8, -5, 1, 4, 4, -10],\n [1, -8, -6, 10, -4, -4, 6, -10, 1, 12],\n [0, -4, -8, -4, 7, 11, 8, 6, 3, -4],\n [-11, 0, -5, -4, 11, 8, 3, 5, -5, 8... | 850639330497 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^8 where A is:\n[[6, -4, 10, -9, 0, -11, -8, 5, 2, -10],\n [-4, 13, -2, 2, -4, -2, 10, -2, 2, -11],\n [10, -2, -5, 4, 1, -10, -2, -10, 3, 0],\n [-9, 2, 4, 3, 4, -14, -2, -5, 10, 2],\n [0, -4, 1, 4, -14, 4, 6, -12, -3, -12],\n [-11, -2, -10, -14, 4, -12... | 1451061391792 | MATH |
[
{
"content": "Find the sum of all entries of the 6th power of the matrix:\n[[6, -8, 3, -5, -11, 6, -7, 7, 7, 6],\n [11, -2, -1, 6, 2, -3, -11, -6, 0, 0],\n [3, 12, -9, -13, -6, -10, 10, -3, 14, 11],\n [-10, -3, 10, 0, -13, -4, 8, 9, 4, 2],\n [3, -5, -10, 10, 6, 2, 13, -14, -2, -13],\n [2, 0, -7, -13, 13, 12, -7... | 32106000 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -14, 11, 9, -13, -6, 14, 5, 5, 8],\n [4, -3, -3, -5, 4, 5, -5, 4, 11, 9],\n [-6, 14, 14, -10, 13, 14, 14, -12, 8, 4],\n [7, 12, -11, 8, -1, -9, -2, 13, -8, -3],\n [13, 5, 13, 13, -1, -2, -4... | 41008695023594 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the value at position (7, 10) of the result:\nA =\n[[7, 2, 6, 3, -2, 1, -2, 0, -9, -8],\n [2, 9, -9, 0, -12, -2, 6, -6, 9, 5],\n [6, -9, 4, 4, 6, -3, -4, 1, 14, 0],\n [3, 0, 4, 13, 6, 4, 3, -2, 5, -2],\n [-2, -12, 6, 6, 1, 9, -2, -3, -7, -3],\n [1, -2, -3, 4... | 54333576408 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[12, -2, -2, -2, -8, -2, 10, 0, 5, 5],\n [-2, -12, -11, 6, 1, 3, -6, -3, -4, -5],\n [-2, -11, -8, 7, 8, 0, 0, 6, 1, 3],\n [-2, 6, 7, -14, -6, -8, 8, 2, -4, 6],\n [-8, 1, 8, -6, -10, 5, 8, 4, -2, -2],\n [-2, 3, 0, -8, ... | 570596709787 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[-12, 8, 6, -14, 12, 9, -2, 10, 7, -13],\n [-6, 3, 7, 11, -11, 1, -9, 5, 12, 14],\n [-12, 13, -4, 9, 14, -10, -14, -7, 4, -11],\n [-6, -12, -10, 13, 1, -7, -9, -12, 1, -7],\n [-2, -10, -9, 12, -12, -7, -11, 10, 6, 2],\n [10, -7, 6, 4, 14, -1, -6, -3, -2, 8],\n ... | 25570969793823 | MATH |
[
{
"content": "What is the value at position (9, 10) of the matrix A^6 where A is:\n[[5, 1, 6, -8, -2, 2, -4, 5, -4, 14],\n [1, 14, -2, -2, 4, 2, 10, 4, 2, -11],\n [6, -2, -13, 6, 6, -10, -12, 10, 2, -6],\n [-8, -2, 6, 5, 8, -4, 12, 0, -8, -4],\n [-2, 4, 6, 8, -13, -1, -1, 2, 8, -2],\n [2, 2, -10, -4, -1, 5, 0, ... | -262925416 | MATH |
[
{
"content": "What is the value at position (3, 7) of the matrix A^8 where A is:\n[[8, 7, -1, 2, 4, -4, -11, -5, 12, 8],\n [4, -11, -4, -8, 5, -6, 13, 7, -13, 12],\n [-14, -7, 12, 4, 8, 1, -1, -11, 4, 10],\n [7, 7, -9, 0, -2, 4, 7, -11, -13, -12],\n [-1, -11, 1, -4, 14, -2, -14, -2, 0, -8],\n [13, -10, 13, 12, ... | 12262629439 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[-3, 8, -2, -4, -2, -4, 12, 6, -2, -8],\n [8, -2, 1, -2, -6, -3, 2, -4, 2, 2],\n [-2, 1, -10, -6, -9, 12, 2, 8, 2, -10],\n [-4, -2, -6, -1, 5, -2, 6, 8, 0, -12],\n [-2, -6, -9, 5, 4, -4, -1, -8, 1, 0],\n [-4, -3, ... | 675934851 | MATH |
[
{
"content": "Find the sum of all entries of the 8th power of the matrix:\n[[-5, -1, -6, -6, 4, 6, -11, 0, -6, 9],\n [-1, 12, 4, -11, 13, 4, -12, -1, 4, 6],\n [-6, 4, 13, 3, -6, 4, 11, -2, -7, -7],\n [-6, -11, 3, -2, -8, 0, -12, 12, 0, -2],\n [4, 13, -6, -8, -3, 8, -7, -2, 9, 6],\n [6, 4, 4, 0, 8, 5, 10, -8, -6... | 13979544388416 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[-11, 8, 1, -2, 5, 4, 4, 0, 12, 0],\n [8, -6, 5, 3, 0, 3, 0, -8, 4, 2],\n [1, 5, 4, 2, -10, 2, -4, 2, 2, 12],\n [-2, 3, 2, 12, 0, -1, -13, 2, 6, 4],\n [5, 0, -10, 0, 7, 4, -1, -8, 10, 2],\n [4, 3, 2, -1, 4, 7, 4, ... | 1551576831982 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -8, -4, -10, 5, -1, -10, -7, 8, -2],\n [-8, -12, 8, -10, -4, 4, 2, 1, 10, -6],\n [-4, 8, -6, -2, -8, -14, -8, 8, 2, -6],\n [-10, -10, -2, 0, 3, 8, -12, -2, 2, 2],\n [5, -4, -8, 3, 5, -4, -2... | 10508997939 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[8, -8, -6, -4, 12, 8, 13, -7, -11, -5],\n [5, -5, -7, -1, -11, 14, 5, 11, -12, 13],\n [-12, 12, -11, -3, 14, 3, 13, 4, -4, 13],\n [3, -1, -4, -1, 7, 14, -12, -13, -6, -7],\n [-10, 14, -6, -10, 6, -2, -4, -4, 5, -3],\... | 113338021243 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the value at position (6, 8) of the result:\nA =\n[[7, -8, 6, -5, 13, -8, 11, -4, 11, 14],\n [-12, 12, 6, 7, -6, -11, -7, 9, 11, 7],\n [-3, -7, 0, 13, -1, -10, 2, 5, -4, 7],\n [0, 10, -2, -11, 7, -2, 11, -2, -4, -10],\n [10, 11, -1, 7, -12, 3, -12, -9, 11, -... | 13569630909 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[6, 0, 5, -3, 0, 10, 6, -9, 0, -4],\n [0, 4, 6, -4, -6, -8, 10, 6, 2, -2],\n [5, 6, 10, 10, 1, -4, -1, 2, -1, -8],\n [-3, -4, 10, -5, -9, 2, -10, -6, -12, 1],\n [0, -6, 1, -9, 7, -6, -2, -12, 4, -2],\n [10, -8, -4... | 1135048299 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[-4, -3, -2, 0, -12, -4, 8, 0, 10, 2],\n [-3, 2, 8, -4, -1, 8, 5, 2, 0, 4],\n [-2, 8, 4, 10, -2, 10, 2, -9, -3, 6],\n [0, -4, 10, -12, -7, -10, -2, -14, 7, 11],\n [-12, -1, -2, -7, 5, -3, 2, 2, 8, 0],\n [-4, 8, 10... | -45771598180 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-11, 5, -4, -7, 7, 11, -6, 11, 10, 5],\n [-5, -8, 4, 7, 14, -14, -10, -9, -3, 13],\n [-3, 6, -1, -8, 13, 5, 6, 5, -1, 1],\n [-6, -13, 2, -11, -1, -1, 13, 0, 13, -3],\n [-2, 7, -5, 1, 14, 14, 0, -7, -11, -14],\n [-1, -6, 4, -9, 1, 11, 9, -4, 6, 12],\n [8, -4, -... | 151998128392 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[13, 7, 10, 4, 5, 6, 9, -6, 4, 4],\n [8, 10, -14, 2, -1, -3, -13, 7, -12, 13],\n [9, -10, -12, -1, 9, 9, 3, -10, -12, 8],\n [-13, -6, 3, 12, -13, 7, 4, -12, 11, 3],\n [-1, -2, 1, 6, 13, -4, 6, 8, 9, 9],\n [-3, -12, -9, 1, -3, 6, 5, 11, -9, 5],\n [-1, 9, -6, 2, ... | 254255606400 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[6, -7, 5, -2, -8, -8, 4, 8, -4, -2],\n [-7, -10, 4, 2, 2, 4, 0, 7, 0, 5],\n [5, 4, 2, -10, 2, 1, -14, 3, -2, -10],\n [-2, 2, -10, -6, 3, 2, -2, 0, 12, -4],\n [-8, 2, 2, 3, 0, 0, -2, 0, 0, 10],\... | 5020264613154 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[14, -10, 1, 0, 0, 0, 3, -1, 10, -12],\n [-10, 7, 8, -4, -8, 0, -2, -2, 0, -7],\n [1, 8, -7, -2, 6, -2, 10, -3, -5, -4],\n [0, -4, -2, 12, 4, 7, -6, 4, -4, -6],\n [0, -8, 6, 4, -2, -11, -12, -4, 9, 1],\n [0, 0, -2, 7, -11, 14, -5, 7, 12, -8],\n [3, -2, 10, -6, ... | -84386544433 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[-11, 2, 11, 7, 6, -10, -13, -14, 1, -8],\n [6, -12, -1, 7, 4, 1, 7, -9, 10, 9],\n [-14, -8, -4, 10, 3, -6, 7, -12, 9, 8],\n [13, -7, -7, 8, -14, 14, -5, 0, -5, 11],\n [-7, 6, 14, -13, 3, -13, 1... | 10332986099 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[6, 3, 0, 10, 9, 2, 8, -2, 6, -8],\n [3, -12, 6, 4, -7, 5, -8, 12, -8, 9],\n [0, 6, 11, 4, -4, 2, 7, 10, 10, 0],\n [10, 4, 4, -5, -4, 10, 9, 2, -6, -10],\n [9, -7, -4, -4, -14, -2, 3, -6, -4, 1],\n [2, 5, 2, 10, -... | 86060490436 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[9, -4, -10, -7, 6, -10, -8, -2, 4, 2],\n [-4, 3, 2, 1, 1, 0, -2, -2, -12, -2],\n [-10, 2, -7, 3, -4, 2, 0, -2, 5, 2],\n [-7, 1, 3, -5, -6, 2, -8, -6, 0, 0],\n [6, 1, -4, -6, -6, -6, 6, -2, 8, -10],\n [-10, 0, 2, 2, -... | 4186543706 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^8 where A is:\n[[13, -7, 13, -1, 11, 1, 10, 4, 1, 10],\n [-5, 0, 12, 11, -11, 13, -11, 14, -2, -3],\n [0, 14, 8, -2, -9, 11, -1, -12, -7, -3],\n [-1, -10, -13, -5, -12, 8, -5, -6, 2, 13],\n [-9, 12, -6, 8, -12, -8, -3, 3, -5, -13],\n [2, -12, -14, -7,... | -127078773158 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[2, -4, 0, 9, -2, 0, -5, -1, -6, -8],\n [-4, 9, 1, 6, 2, 1, -7, -2, -1, 2],\n [0, 1, 7, 4, 7, 0, 0, 6, 0, 0],\n [9, 6, 4, 1, -10, 0, 2, 6, -2, 10],\n [-2, 2, 7, -10, -3, -3, 0, -10, -2, -4],\n [0, 1, 0, 0, -3, -4, 1, -1, -6, -4],\n [-5, -7, 0, 2, 0, 1, 7, 4, 0,... | 348417524128 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[8, -14, 11, -3, -13, 3, 0, -8, -6, 8],\n [13, 7, -12, 6, -5, -13, 10, 7, 10, 10],\n [-3, -8, -10, -11, -14, 0, -6, -9, -1, -13],\n [-3, 8, 13, -9, -2, -11, 7, 1, 14, -4],\n [-9, -10, -14, 4, -8, 3, -5, -5, 2, 9],\n [... | 11622809543593 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[12, 5, 1, 6, -1, 1, 9, -6, 6, 13],\n [6, -13, 10, -2, 7, -10, 6, 5, 2, -9],\n [2, 11, -13, -8, 14, 2, 9, -7, 8, 8],\n [-14, 14, 4, 10, -10, -10, 8, 12, 11, 9],\n [7, 6, -14, 11, -5, -5, 14, 10, 7, -12],\n [13, -3, 11... | 7901482490 | MATH |
[
{
"content": "What is the value at position (9, 9) of the matrix A^7 where A is:\n[[7, -2, 8, 10, -5, -5, -14, -8, 5, -6],\n [-4, 5, -13, -14, 8, -3, -8, 4, -10, 11],\n [-3, -1, 13, -8, -7, -1, -3, -6, -5, -5],\n [-14, 10, 7, -9, -1, 8, -6, 8, 8, 12],\n [-3, 4, 11, 10, 5, 7, 14, 8, 13, 14],\n [-3, 10, -2, 14, 1... | -347301181 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[-8, 3, -8, 4, -7, -6, 6, -9, -2, -2],\n [3, -4, -6, 0, -2, 2, 6, -6, 5, -2],\n [-8, -6, 1, 2, -12, 10, 2, 4, -1, -10],\n [4, 0, 2, -9, 5, -12, -2, 2, 6, 12],\n [-7, -2, -12, 5, -4, -8, 0, 0, 2, 1],\n [-6, 2, 10, ... | -32022087249 | MATH |
[
{
"content": "Find the value at position (9, 8) of the 7th power of the matrix:\n[[-3, 0, -10, -13, 5, 3, -12, -10, -13, -6],\n [9, -10, 12, 2, 6, 5, 0, -2, -6, -13],\n [8, -13, 14, 14, -4, 13, -12, -12, -5, 9],\n [-13, -14, -9, -9, -4, 1, -14, -10, 10, 11],\n [12, -5, 6, 13, 8, -9, -4, 11, 1, 5],\n [-2, -3, 3,... | -1710012145 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-5, -4, 10, 2, -11, -9, -8, 12, -10, -9],\n [2, -1, -4, -10, -13, -1, 12, 1, -13, 2],\n [11, 1, -6, 5, 5, -6, -10, -11, -8, 14],\n [14, -10, 9, -12, -7, 1, 12, -9, 14, -6],\n [7, 5, 3, -4, 4, -8, -5, -10, -8, 8],\n [-9, 3, 6, 0, 12, -5, -9, 9, -14, 13],\n [13,... | -17866700304 | MATH |
[
{
"content": "Find the value at position (10, 8) of the 7th power of the matrix:\n[[-14, -10, 2, -14, 6, 1, -12, -5, 4, -4],\n [8, -12, -13, -12, 0, 12, 5, -6, 0, 13],\n [-13, -9, -10, -9, -10, 7, -3, -11, 9, 13],\n [10, 11, 8, -1, -1, -4, 13, -14, 6, 8],\n [-10, -10, -3, -10, 6, -2, -4, 6, -14, -3],\n [-9, 12,... | 1471339330 | MATH |
[
{
"content": "Find the sum of all entries of the 6th power of the matrix:\n[[10, 10, -1, -11, -11, 8, 8, 1, -4, 7],\n [-8, -14, -6, 14, -9, 9, -2, 6, -3, 8],\n [4, 11, 2, 8, 6, -14, -6, 10, 7, 12],\n [10, 8, -7, 12, -13, 3, -11, -14, 9, 6],\n [-3, 1, 8, 13, 3, -10, 1, -6, -6, -13],\n [-1, -4, -13, 1, 6, 4, -2, ... | 754978510 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[-8, -4, -3, 8, 8, -3, -2, -2, -2, -8],\n [-4, -9, 6, 0, 4, 10, -12, 8, -2, -4],\n [-3, 6, -5, 2, 4, -2, -2, -2, 2, -2],\n [8, 0, 2, -14, -3, -12, -3, 1, 2, -1],\n [8, 4, 4, -3, 12, -4, -11, 4, ... | 8423018324 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[12, -6, 0, -2, -1, -10, 0, 0, 0, -13],\n [-6, 0, -1, -10, 2, 10, 2, 0, 6, -2],\n [0, -1, -8, -6, 0, 6, -8, -4, -4, 0],\n [-2, -10, -6, -2, 7, -7, -2, -2, -10, 2],\n [-1, 2, 0, 7, 12, 0, -12, 2, 4, 2],\n [-10, 10, 6, -7, 0, 0, -2, 7, 7, -12],\n [0, 2, -8, -2, -... | 281154032914 | MATH |
[
{
"content": "Find the value at position (9, 7) of the 6th power of the matrix:\n[[-13, -10, -8, 10, 6, 4, 4, 4, 8, -2],\n [-10, -4, 0, 12, 7, 0, -2, -7, -4, -2],\n [-8, 0, -3, 0, 6, 0, 0, 0, 2, -10],\n [10, 12, 0, 7, -8, -12, 7, -2, -2, 9],\n [6, 7, 6, -8, 5, -5, 0, -1, 2, 0],\n [4, 0, 0, -12, -5, -4, -12, 8, ... | 63601232 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[-8, 2, 0, -5, -1, 10, 14, 4, -3, -8],\n [2, -3, 5, 10, -8, 0, -4, 10, 11, 4],\n [0, 5, 3, 4, -1, -2, -2, 2, 6, 8],\n [-5, 10, 4, 8, 10, 6, 6, -6, -4, -4],\n [-1, -8, -1, 10, -12, -6, -8, -5, 5, -2],\n [10, 0, -2, 6, ... | 631710781194 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[-4, -2, -10, 8, -2, 2, 6, 10, -5, 0],\n [-2, 9, -2, -1, -2, -2, -5, -12, 4, 2],\n [-10, -2, 8, -8, -2, 0, 8, -7, 4, -6],\n [8, -1, -8, -1, 10, -7, 2, -6, -6, 0],\n [-2, -2, -2, 10, -13, 0, -12, -2, 8, -2],\n [2, -2, 0, -7, 0, 1, -9, -2, 2, -6],\n [6, -5, 8, 2,... | 16853965116 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-9, 2, 2, -4, 8, 0, 6, -2, 9, 0],\n [2, -7, -2, 10, 4, -3, -5, -4, 4, -3],\n [2, -2, -1, 1, 6, -10, -2, 4, -12, 1],\n [-4, 10, 1, 2, -2, 4, 0, 4, 6, -4],\n [8, 4, 6, -2, -14, -3, -1, -7, -5, 10],\n [0, -3, -10, 4, -3, -5, 0, 2, 2, 2],... | -26772845827 | MATH |
[
{
"content": "What is the value at position (2, 2) of the matrix A^6 where A is:\n[[1, 7, -8, 13, -7, -11, -11, 12, -9, -13],\n [-6, 13, -7, 3, 13, -3, 1, -14, 11, 5],\n [12, -11, -1, 3, -10, 13, -12, 4, -3, 11],\n [13, 4, 5, -4, 6, 5, -6, 5, 12, 8],\n [11, 12, -10, -5, -6, 10, -2, 14, 14, -7],\n [7, -2, 13, 12... | 112619565 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[7, 6, 0, 0, 10, -6, 7, 6, -4, 10],\n [6, -5, -2, -10, -2, 7, 2, 1, 4, 5],\n [0, -2, 10, -2, 9, 8, 0, -6, 1, 0],\n [0, -10, -2, -14, -4, 0, 5, 6, 8, 4],\n [10, -2, 9, -4, 7, -6, -4, -8, -6, 0],\n [-6, 7, 8, 0, -6,... | 294801433617 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[6, -2, -6, -8, -2, 10, -10, -2, 8, -12],\n [-2, 0, -2, 0, -4, -8, 13, -2, -9, 6],\n [-6, -2, 11, -2, 12, -4, -2, 4, -8, -4],\n [-8, 0, -2, 2, -10, -2, -9, 0, -12, -7],\n [-2, -4, 12, -10, 4, 1, 2, -7, -8, 4],\n [10, -8, -4, -2, 1, 11, -8, 8, -5, -2],\n [-10, 1... | 45325021244724 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[10, 5, 10, 13, -13, 6, 1, -9, 4, 3],\n [2, -4, 8, -11, 9, -7, 9, 3, -2, 6],\n [-7, -5, 3, 3, 2, 1, -9, -1, -10, 0],\n [-2, 1, 1, 2, 12, 9, 9, -10, -4, 0],\n [-12, -7, -12, 14, -11, 12, -1, 8, 8... | 140379578415 | MATH |
[
{
"content": "Find the sum of all entries of the 8th power of the matrix:\n[[-14, 2, 10, 9, 4, 6, -9, -1, -10, -4],\n [2, 6, -4, -5, 2, -8, -3, 2, 0, -6],\n [10, -4, 14, 4, 4, 6, 0, -2, -3, -8],\n [9, -5, 4, 14, 10, -4, 7, -8, 8, 0],\n [4, 2, 4, 10, 0, 0, -6, 12, -4, 5],\n [6, -8, 6, -4, 0, 5, 6, 0, -1, 6],\n [... | 1574913217502 | MATH |
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