messages listlengths 1 1 | ground_truth stringlengths 6 14 | dataset stringclasses 1
value |
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[
{
"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[0, 8, -6, -5, 6, -10, -12, 6, 9, 8],\n [8, 2, -1, -2, 0, -6, -6, 2, 8, -6],\n [-6, -1, 10, -4, 6, -2, 9, 2, -2, 2],\n [-5, -2, -4, 6, -2, 2, 6, 0, -8, -7],\n [6, 0, 6, -2, 5, 6, 12, -8, -1, 4],\n [-10, -6, -2, 2, 6, -14, -6, 2, -1, -2... | 1043837385 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[1, 11, -5, -11, -14, 8, -7, -10, -13, 9],\n [2, -8, 2, 13, -9, 14, 7, 0, -10, 0],\n [3, 3, 10, 6, 6, 8, -9, -13, 12, 2],\n [6, -11, -3, 4, -13, 11, -13, -1, 0, 5],\n [-13, -11, 4, -6, -8, -2, 12, -3, -12, -2],\n [0, -1, 9, -6, -2, 8, 7, -11, 6, -7],\n [-12, -1... | 188584783919 | MATH |
[
{
"content": "Find the value at position (10, 4) of the 6th power of the matrix:\n[[-5, 3, -14, 1, 1, 12, -5, -14, -11, -12],\n [-10, -3, 10, -3, -2, 9, -3, 10, 1, -2],\n [-10, 9, -11, 6, 0, -3, 4, 6, 13, 4],\n [6, -4, 6, -9, -6, -14, -3, 11, -1, -9],\n [-14, 7, -13, 9, -4, -12, -5, -9, -9, 5],\n [6, -13, 11, 1... | -946623 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[-9, -4, 6, -4, 4, -3, 2, 2, 9, 6],\n [-4, 9, 2, 7, 4, -6, 4, -3, 0, 4],\n [6, 2, 7, -4, 10, -10, 0, -6, 0, -2],\n [-4, 7, -4, 7, 10, 3, 6, -8, 4, 0],\n [4, 4, 10, 10, -6, 1, 8, 4, 2, -2],\n [-3, -6, -10, 3, 1, 0, 1, 8, -8, -4],\n [2, 4, 0, 6, 8, 1, -2, 0, -3, ... | 635439665478 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[3, 11, 11, 8, -9, 13, -7, 8, 11, -2],\n [-7, 4, -9, 14, 8, 0, -5, 12, 2, -14],\n [-8, 14, 12, -2, -12, 4, 0, -10, -4, 7],\n [3, -12, -9, -12, -10, -6, 13, 4, 13, 12],\n [-2, 14, -9, -4, 6, 6, 12, -1, -9, -9],\n [2, -4, 0, -6, 6, 2, 9, -8, -8, 6],\n [-14, 10, 1... | 17937158 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[-12, -8, 3, -1, 3, 4, -1, 5, -9, 14],\n [-7, 11, 11, -8, 5, 3, 3, 0, 5, 7],\n [4, 7, 6, 6, -13, -7, 6, -4, 3, 8],\n [-2, -6, -6, 2, -8, -6, 7, -14, -13, -11],\n [-1, -11, -13, -7, 3, 4, -1, 5, 10, -5],\n [2, -7, 13, -1, 6, 8, -7, -10, 1, -7],\n [-5, 12, -7, -6... | 44614564192 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[3, 3, 2, -6, 12, 0, -1, 1, -1, 9],\n [3, -7, -8, -2, -4, 2, 1, 8, 4, -5],\n [2, -8, -3, -3, 3, 1, 4, 2, -6, 3],\n [-6, -2, -3, 4, 2, -4, 12, 5, 2, 3],\n [12, -4, 3, 2, 11, -2, -6, 4, -12, -7],\n [0, 2, 1, -4, -2, 0, -3, -6, -7, 5],\n [-1, 1, 4, 12, -6, -3, 1, ... | -135028683644 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[-13, 6, -1, 4, -7, -4, 0, 10, 8, 5],\n [6, 0, 10, -11, 8, 0, 6, -6, -4, 8],\n [-1, 10, -7, -2, -4, -10, 12, 0, 2, -10],\n [4, -11, -2, -6, -7, 2, 5, -8, 6, 0],\n [-7, 8, -4, -7, -14, 0, -6, 12, 11, 0],\n [-4, 0, -10,... | 45596285502 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the value at position (9, 3) of the result:\nA =\n[[2, 12, 4, -10, 3, 3, 1, 4, -7, 0],\n [12, 3, 2, 4, 2, -7, 4, -2, 5, -6],\n [4, 2, 5, 12, 0, -2, -11, -3, 0, 0],\n [-10, 4, 12, -6, 2, 12, 0, 8, 10, -4],\n [3, 2, 0, 2, 1, -3, 12, -3, -3, 5],\n [3, -7, -2, 1... | -60906335 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[7, 6, -3, 0, 4, 8, 4, -6, -11, 0],\n [6, 7, 4, 6, -2, -10, 8, -4, 2, -9],\n [-3, 4, 8, -12, -2, -6, 0, 4, 4, 4],\n [0, 6, -12, -8, -5, -1, 4, 0, 0, -4],\n [4, -2, -2, -5, 1, 5, -8, 4, -7, -3],\n [8, -10, -6, -1, 5, ... | 437644539799 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-8, -6, -2, 5, -1, 1, 8, -6, 0, -10],\n [3, 6, 5, -7, 0, 6, 10, -6, 4, 14],\n [11, 7, -9, -11, -4, 14, -5, -12, -14, -3],\n [8, 0, 0, 6, -1, 11, -8, 2, 9, 4],\n [-8, 13, -12, -12, 11, 10, 14, 3, 5, 7],\n [-1, -12, 13, 11, 11, -8, -8, -10, -12, 3],\n [0, 5, -1,... | -2041293662 | MATH |
[
{
"content": "What is the value at position (8, 6) of the matrix A^7 where A is:\n[[7, -12, 6, -12, -9, 13, -5, -10, 10, -12],\n [7, 9, -8, 7, 3, 8, -7, -14, 10, -11],\n [9, 11, -8, -1, -2, -5, 8, 3, -14, -11],\n [13, 1, 1, 3, -7, -5, 1, 8, 9, -4],\n [-9, -14, 14, 14, -3, 10, -9, 13, -2, 11],\n [2, -14, -7, 7, ... | -246667573 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[4, -8, 6, 6, 7, -2, 5, 0, -6, -2],\n [-8, 12, -1, 2, -2, 6, 8, -13, -6, -4],\n [6, -1, 2, -4, -10, -1, 8, 6, -12, -2],\n [6, 2, -4, 6, 6, 3, 4, 2, 6, 2],\n [7, -2, -10, 6, 11, 9, -11, -5, 2, -8],\n [-2, 6, -1, 3, 9, ... | 490313979984 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[-3, 11, 11, 14, 13, -12, 5, -5, 5, 3],\n [6, 6, 6, 12, 12, -5, -14, -9, -4, -13],\n [-8, 5, 6, 6, 6, 3, 6, 4, -11, -2],\n [3, 5, 14, 10, 9, -2, 12, 13, 4, 2],\n [-14, -9, 4, 5, -14, -7, 2, 6, 7, 0],\n [3, -8, 1, -8, ... | 14137230528821 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[4, -5, 4, -2, -7, 6, 5, 4, 6, 8],\n [-5, 8, -2, -8, -2, 2, 1, 1, 0, -2],\n [4, -2, -14, 2, 0, 5, -8, -6, 6, 0],\n [-2, -8, 2, 4, 2, 13, -4, -3, -1, -5],\n [-7, -2, 0, 2, 14, -11, -4, -6, 9, -4],\n [6, 2, 5, 13, -11, -9, 13, 1, 2, 12],\n [5, 1, -8, -4, -4, 13, ... | 15339922661 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (3, 8) of the result:\nA =\n[[7, 2, 0, 8, 4, 2, 8, -6, -10, -10],\n [2, -8, -6, -5, -7, 4, -4, 0, -2, -4],\n [0, -6, 2, -10, 2, 7, 10, -4, -4, -4],\n [8, -5, -10, -9, 4, -10, 4, 6, 0, 2],\n [4, -7, 2, 4, 9, 2, 6, 3, -8, -5],\n [2, 4, 7,... | 4765894018 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[5, -11, -14, 7, -5, -13, 12, 6, 9, 0],\n [-12, 10, 8, -6, 2, 6, 13, -2, -12, -11],\n [-11, -4, 13, -8, 11, -4, 9, -4, -5, -10],\n [-2, 14, -3, -5, -8, 4, 4, 4, -3, 5],\n [7, 0, -10, 9, -1, -3, 14, 6, -4, 13],\n [-10, 1, 11, 3, -3, 12, 12, -10, 1, -3],\n [8, -1... | 48995367920 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[6, 5, 5, -8, -6, -7, 12, -2, -1, -3],\n [-7, 6, 7, 3, 1, 14, -4, 1, -1, -12],\n [6, -13, -12, -11, 7, -10, -5, 5, 14, -13],\n [-3, 12, -10, -10, 12, 8, -14, -11, 12, 6],\n [9, -3, -3, 1, 9, 2, ... | 8312383051664 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[7, 10, 13, 7, 5, -8, -12, -10, -14, 0],\n [11, -12, -7, 10, -6, 0, -5, -13, 5, -10],\n [4, -2, -4, -14, 7, 0, 11, 3, 1, -6],\n [-14, -4, -6, 8, -4, -2, 11, -13, -1, -9],\n [-7, 3, 1, 6, 14, -3, -4, -9, -12, -1],\n [13, -13, -4, 7, -12, 3, -14, 9, -14, -3],\n [... | -1191875099 | MATH |
[
{
"content": "What is the value at position (7, 2) of the matrix A^7 where A is:\n[[13, -13, -12, 8, 2, -3, 1, 10, -2, -3],\n [-13, -13, -4, -7, -1, 6, 4, -4, 4, -2],\n [-12, -4, 9, -2, -5, -14, -5, 3, 2, 10],\n [8, -7, -2, -6, -10, -2, -2, 6, 6, -5],\n [2, -1, -5, -10, 7, 4, -2, -2, 8, -2],\n [-3, 6, -14, -2, ... | -835211414 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (8, 9) of the result:\nA =\n[[5, 1, -2, -8, -6, -5, 9, 6, 5, 2],\n [1, 9, -8, 1, -9, -8, 2, 3, 8, 5],\n [-2, -8, 6, -5, -2, -10, 8, -3, -10, 0],\n [-8, 1, -5, 6, -2, -2, -14, 4, -8, 8],\n [-6, -9, -2, -2, 12, -8, -8, 2, 13, -1],\n [-5, ... | -1861897982 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the value at position (5, 4) of the result:\nA =\n[[-1, 14, -11, -2, 1, 1, 7, -10, 5, 10],\n [-9, -9, 3, -9, -8, 9, 9, 1, -6, 11],\n [12, -2, -3, 4, 11, 8, 8, -14, -7, -11],\n [6, 7, 4, 6, 11, -10, 2, -12, 4, -14],\n [14, 8, -14, 8, 5, -6, 8, -10, -8, 10],\n... | -45503944 | MATH |
[
{
"content": "Find the value at position (2, 8) of the 6th power of the matrix:\n[[10, -4, 4, 0, 5, -4, 2, 2, -10, 12],\n [-4, -7, 4, 6, 2, -5, 10, 8, -5, 0],\n [4, 4, 10, 0, -5, 12, -2, 0, -3, -8],\n [0, 6, 0, -7, -11, -8, -4, -8, 2, 2],\n [5, 2, -5, -11, 14, -2, -10, -13, -4, -4],\n [-4, -5, 12, -8, -2, -14, ... | -158163977 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[-8, -2, 2, -4, 6, 0, -3, -4, -4, 3],\n [-2, -11, 6, 1, 5, -6, 2, -2, -9, 2],\n [2, 6, -1, -12, 6, -8, -5, 12, 10, 7],\n [-4, 1, -12, 9, 0, 6, -3, 4, -2, -5],\n [6, 5, 6, 0, 9, 8, 4, -5, 4, 8],\n [0, -6, -8, 6, 8, -6, -6, -1, 0, 6],\n ... | 1592653902 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[-8, 4, 13, -14, 9, -8, -13, -8, 4, -2],\n [10, 9, -10, 8, 4, -14, -14, 12, 3, 9],\n [-14, 12, 13, -10, -6, -3, -6, 3, 8, -4],\n [-14, 4, 7, 10, -5, -13, -8, 5, -13, 4],\n [-9, -5, -6, -7, 11, -4, -6, 5, 13, 5],\n [-... | 470030569975 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[11, 0, -8, 3, 5, -2, 4, 1, -6, 8],\n [0, 0, 0, -2, -6, -8, -2, 6, 12, -4],\n [-8, 0, -14, 1, -4, 2, 2, -2, 6, -3],\n [3, -2, 1, 4, -4, -2, 1, 7, -7, -4],\n [5, -6, -4, -4, 3, 8, -2, 5, -2, -8],\n [-2, -8, 2, -2, 8, 14, -2, 3, -1, 0],\n [4, -2, 2, 1, -2, -2, -5... | 593463063 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[1, -6, 11, 13, -14, 0, -3, -10, 8, 9],\n [3, 5, -13, -11, 0, -9, 7, -3, 14, 3],\n [12, 5, -11, -14, 0, 3, -1, -12, 14, 0],\n [12, -10, 12, 9, 7, -12, 7, -8, -9, 11],\n [7, -14, 4, -8, -11, -3, 5, 8, 10, 12],\n [1... | 3597204292 | MATH |
[
{
"content": "Find the value at position (4, 8) of the 8th power of the matrix:\n[[0, -1, 0, -2, -4, -2, 0, -6, -8, 0],\n [-1, 8, -5, 0, 9, 0, -6, 6, 4, 8],\n [0, -5, 10, 9, 9, -7, 1, 6, -1, 5],\n [-2, 0, 9, 8, -1, -11, -8, -2, 12, 7],\n [-4, 9, 9, -1, -11, -6, 4, 2, 3, 6],\n [-2, 0, -7, -11, -6, -6, -4, 1, 10,... | 130521659209 | MATH |
[
{
"content": "What is the value at position (5, 8) of the matrix A^7 where A is:\n[[-10, -6, 14, -4, 12, 4, -13, -9, 14, 8],\n [6, -14, -12, -12, 13, -1, 5, 11, 7, -10],\n [2, 0, -9, -1, -1, 10, 12, 2, -7, -7],\n [4, 14, -6, -4, -2, -2, 12, 9, 4, 11],\n [6, 4, -10, 1, -6, 13, 5, 7, -12, 4],\n [-10, -7, -1, 9, -... | 1326868647 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[7, 10, 13, -5, 2, 14, -7, 7, -14, 5],\n [6, -8, 9, -6, 13, -3, 7, 11, -6, 5],\n [9, -12, -11, -5, -11, 7, -6, 7, -14, -10],\n [-6, -10, -9, 4, -7, -5, -4, -2, 5, -11],\n [-4, -3, -10, -5, 10, 14, 9, -8, 6, -6],\n [-6... | 95135944940 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[9, 2, 6, -13, -9, 10, -10, -11, -13, -3],\n [-12, -9, 9, -1, -7, 6, 6, 11, -1, 14],\n [-12, 1, 0, -8, 0, -2, -9, 0, 2, -11],\n [7, 12, 7, 12, -1, 0, 13, -3, 4, 7],\n [13, -5, -9, 13, 10, -6, -13, -11, -6, 0],\n [-2,... | 90901154404 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[10, -2, 10, -2, 3, 2, 4, 8, 0, 0],\n [-2, -4, 6, -10, 0, -3, -7, -8, -5, -3],\n [10, 6, -13, -4, 1, 6, 0, 2, -6, 2],\n [-2, -10, -4, -1, 6, -13, 12, -4, 2, 3],\n [3, 0, 1, 6, -8, 0, -9, -4, -6, 3],\n [2, -3, 6, -13, 0, -10, -12, 1, -1, 10],\n [4, -7, 0, 12, -9... | 5184100496765 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[-10, 8, 6, -2, 0, 0, 7, 7, -2, 0],\n [8, -11, 4, -1, -4, 6, 7, -3, 6, 6],\n [6, 4, 13, -14, -10, 4, -4, -10, 0, 2],\n [-2, -1, -14, -2, 8, 7, -4, -6, 2, 6],\n [0, -4, -10, 8, 10, -3, -7, 5, 3, 5],\n [0, 6, 4, 7, -3, 12, 4, 2, -4, 10],\n [7, 7, -4, -4, -7, 4, 3... | 11850719581 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[11, 8, -3, -2, 4, 7, -2, -3, 5, -12],\n [13, -12, -1, 3, 12, 4, 14, 13, -5, 2],\n [0, 4, -6, -11, 0, 4, 1, -7, 2, 6],\n [-14, -8, 6, 3, -3, 1, -14, 12, 0, -8],\n [13, 2, -12, -4, -9, -9, 0, -8, -4, 12],\n [2, 8, 3, ... | 53624162086 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 3, -1, 1, -2, 2, 0, 4, 4, 8],\n [3, 3, -3, 6, -7, -2, 2, 0, 4, 6],\n [-1, -3, 13, -6, 5, 3, -7, 7, 0, 4],\n [1, 6, -6, -5, 10, -6, -2, -6, -4, 11],\n [-2, -7, 5, 10, -7, 0, 10, 8, 6, -6],\n ... | 7875440636017 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[-9, 5, 4, 6, -1, 9, 12, 0, -5, 2],\n [5, -6, -4, 3, -4, 0, -2, -6, 2, 4],\n [4, -4, -9, 0, 0, -2, -1, -5, 6, -10],\n [6, 3, 0, 2, -2, 11, 9, -4, -8, -2],\n [-1, -4, 0, -2, -10, -2, 6, -7, -2, 4],\n [9, 0, -2, 11,... | 37536404565 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[5, -10, -1, 2, 6, -3, -2, -10, -3, 7],\n [-10, -8, 4, 4, -10, 5, -4, -2, 7, 1],\n [-1, 4, 1, -12, -2, 6, 2, -6, -6, -6],\n [2, 4, -12, -11, 2, -4, 0, -2, 2, -1],\n [6, -10, -2, 2, 5, -2, 0, -4, -6, -1],\n [-3, 5, 6, -4, -2, 12, -8, 4,... | -68019194309 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^8 where A is:\n[[7, 7, 11, 4, -3, -3, 0, 13, -8, 12],\n [-11, 6, -6, 7, 1, 11, -2, -11, 9, -6],\n [11, 6, 3, 0, 0, -9, -4, 13, -7, 14],\n [6, 2, 9, 10, 2, 9, 11, 13, 3, -11],\n [14, 0, -13, -13, -5, -12, -7, 5, -8, -3],\n [11, 4, 11, 13, 0, -1, 1, 14,... | 118406401183 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[-12, 4, -8, -2, -2, 2, -14, -1, 14, 11],\n [-12, -1, 9, -14, 1, -5, -2, -11, -6, -1],\n [-11, -5, -7, 8, -12, 8, -8, -5, -12, -13],\n [0, -6, 0, 2, -8, 5, 3, 0, 3, 9],\n [8, -3, 8, 6, 11, -7, -13, -13, -10, -14],... | 340592663077 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[11, 0, 8, -6, 4, 4, 8, -6, 10, -6],\n [0, 3, 8, 2, 2, -1, 7, 7, 3, 8],\n [8, 8, -10, -9, 3, 0, -8, -10, 2, -2],\n [-6, 2, -9, 2, -10, 6, 0, 0, -6, 4],\n [4, 2, 3, -10, 13, -6, -6, -4, -2, -6],\n [4, -1, 0, 6, -6, 14, -10, -2, 8, 2],\n... | 7318372869 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[4, -9, -13, 0, 2, 1, 13, 6, -7, -5],\n [-5, 3, -5, -6, 13, 9, 4, -14, -11, 9],\n [-12, -5, -3, 3, 8, 5, -9, 6, -13, -5],\n [-13, -6, 12, -5, -13, -7, 9, 2, 2, 14],\n [-11, 3, -3, 2, -6, 14, 4, -1, -1, 2],\n [-13, -7... | 6568137126 | MATH |
[
{
"content": "Find the sum of all entries of the 6th power of the matrix:\n[[9, -8, 2, 4, 11, -6, 11, -8, 2, 6],\n [-8, 13, -6, 9, -5, 4, 4, 2, 7, 3],\n [2, -6, 5, -8, 4, 2, -4, 8, -8, 2],\n [4, 9, -8, 7, -10, -1, 6, 3, -9, 2],\n [11, -5, 4, -10, 14, 2, 0, 7, 8, 10],\n [-6, 4, 2, -1, 2, 10, -1, -4, 8, 6],\n [11... | 2506164303 | MATH |
[
{
"content": "What is the value at position (5, 3) of the matrix A^8 where A is:\n[[-12, -4, 0, 4, -9, -7, -2, -2, 0, -2],\n [-4, -2, -5, -1, -4, 4, 2, -14, 0, 4],\n [0, -5, 9, -4, 9, 3, 2, -2, -6, -1],\n [4, -1, -4, -7, -10, 0, -6, -7, 10, -4],\n [-9, -4, 9, -10, 2, 3, -4, 0, 6, -10],\n [-7, 4, 3, 0, 3, 2, 6, ... | 63231084006 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[12, -4, -6, -9, 8, -2, -8, 2, 1, -3],\n [-4, 12, 3, 4, 1, -4, -8, 12, -4, -13],\n [-6, 3, -8, -3, -12, -6, -8, -6, 8, 2],\n [-9, 4, -3, -7, 0, -4, -10, 4, -6, 0],\n [8, 1, -12, 0, -14, 8, 2, 2, 0, 0],\n [-2, -4, -6, -4, 8, -14, 2, 5, 12, 4],\n [-8, -8, -8, -10... | -3589955952 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[0, -2, -7, 6, 6, 7, -1, -14, -2, 12],\n [-7, 3, 7, -6, -2, -12, 3, -5, -10, 12],\n [10, -9, -7, 9, -8, 6, 3, -1, 0, -5],\n [11, 6, -3, -8, 13, 13, -8, -4, -2, 0],\n [3, -8, -9, 8, -4, -7, 5, -14, -7, -7],\n [4, -12, -10, -12, 0, -1, 6, 0, 9, 2],\n [3, -13, -3,... | -424104413 | 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, -10, -7, -3, 4, -6, 5, -9, 2],\n [-8, 10, 6, -8, 2, -2, -4, 2, 1, -10],\n [-10, 6, 8, 3, -4, 12, -8, -8, 1, 8],\n [-7, -8, 3, 13, 6, 2, -6, 0, 0, -5],\n [-3, 2, -4, 6, 6, -2, 0, 0, -6, -... | 5375224280 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[5, -10, -4, 7, -6, 6, -4, -6, -10, 8],\n [-10, 2, 13, 1, -11, 6, -2, -10, 3, -3],\n [-4, 13, -2, 6, 11, 8, -2, 0, 3, 2],\n [7, 1, 6, 6, 8, -4, 4, 6, -6, 4],\n [-6, -11, 11, 8, -9, -2, -6, 5, 6, 6],\n [6, 6, 8, -4, -2, 8, 7, 8, 2, 2],\n [-4, -2, -2, 4, -6, 7, 5... | 3141688065207 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[12, -2, 8, 14, -8, -10, -6, -3, 0, -4],\n [-2, 4, -6, -2, -4, 8, -12, -9, -6, -1],\n [8, -6, 9, -8, 3, 10, 5, 1, -2, 0],\n [14, -2, -8, 5, 2, 6, 6, 12, 0, 4],\n [-8, -4, 3, 2, -5, -9, 4, 12, -2, -4],\n [-10, 8, 10, 6, -9, 1, -2, -5, -10, 8],\n [-6, -12, 5, 6, ... | 37079534560 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the value at position (4, 8) of the result:\nA =\n[[2, 4, 0, 4, 6, -8, 4, 4, 4, 5],\n [4, 1, 2, 1, 0, -2, -4, 9, -8, -10],\n [0, 2, -5, -6, 4, 4, -5, 6, 10, 4],\n [4, 1, -6, 6, 3, -10, 0, 2, -10, -8],\n [6, 0, 4, 3, -1, 4, 11, 0, 0, -2],\n [-8, -2, 4, -10, 4... | -77199671 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[0, 6, 5, -8, 5, -9, -4, 10, -2, 0],\n [6, -2, 3, -4, 13, -6, -4, 12, 8, 10],\n [5, 3, 3, 5, 0, 3, -6, -3, 1, -12],\n [-8, -4, 5, -10, 2, 0, -4, 1, 6, 8],\n [5, 13, 0, 2, -12, 6, -4, -9, 6, 6],\n [-9, -6, 3, 0, 6,... | 1515208048027 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[-5, -4, -6, -6, 0, 0, 5, -4, -3, -4],\n [-4, -11, 2, 2, -1, 1, -4, 10, -6, 2],\n [-6, 2, -7, 6, -3, 6, -3, -6, -8, -1],\n [-6, 2, 6, 3, 8, -7, 0, -6, 0, 6],\n [0, -1, -3, 8, -14, 7, 8, -2, -6, 5],\n [0, 1, 6, -7, 7, 1, -6, 12, 0, -4],\n [5, -4, -3, 0, 8, -6, -... | 4810839565686 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[0, -11, -6, -11, 14, 1, 13, 6, 0, 9],\n [-13, 13, 12, -1, -12, 7, 13, 8, -11, -14],\n [8, 13, -6, 2, -1, 2, -14, -5, 8, 1],\n [12, 10, 4, 9, 10, -12, 13, -3, -12, 0],\n [2, 3, -8, 4, -8, -10, 11, -7, 6, 1],\n [1,... | -976201388 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[6, 4, -8, -1, 4, -7, -2, 4, -6, 2],\n [4, -3, -4, 12, 4, 1, -8, -8, 4, 4],\n [-8, -4, -9, 2, 3, 10, -7, -4, 9, 8],\n [-1, 12, 2, 1, -4, 0, 2, -12, -8, -1],\n [4, 4, 3, -4, 0, 4, -8, 2, 0, 0],\n [-7, 1, 10, 0, 4, ... | 48580036002 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[1, 10, -8, -13, -9, -6, -8, -13, 4, -7],\n [-4, 10, -11, 1, 10, 3, -2, 12, -10, 12],\n [-13, -4, -14, -2, -10, 3, -1, -2, -8, -7],\n [3, -8, 5, 2, 1, -4, 4, 12, 13, -14],\n [6, 14, -7, -14, -6, 4, 6, -6, 6, 10],\n [-5, 9, 8, -4, -14, 5, 10, 11, -7, 5],\n [-3, ... | 191052184216 | MATH |
[
{
"content": "Find the value at position (9, 7) of the 7th power of the matrix:\n[[0, -2, -3, -10, 8, -1, -10, 0, 12, -10],\n [-2, 0, -9, 8, -3, -8, -10, 6, 8, 11],\n [-3, -9, -3, -4, 4, 10, -11, 6, -1, 4],\n [-10, 8, -4, -1, 4, 4, 6, 6, 4, -8],\n [8, -3, 4, 4, -5, -9, 9, -10, 2, -9],\n [-1, -8, 10, 4, -9, -8, ... | 13290072253 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[11, 8, -4, 10, -7, -2, 0, -12, 6, -3],\n [8, 2, -3, -4, -4, -7, 8, 0, 4, -5],\n [-4, -3, -8, 0, -6, 2, 2, 8, 0, 2],\n [10, -4, 0, 7, 12, 0, 4, 7, 1, -1],\n [-7, -4, -6, 12, 3, -2, -8, -1, 5, -8],\n [-2, -7, 2, 0, -2, 0, 6, 10, -6, 0],\n [0, 8, 2, 4, -8, 6, 4, ... | 711939325561 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-7, -8, -6, 11, -8, 0, -6, -3, -12, -8],\n [-8, 1, -4, -2, 2, -10, 3, -12, -4, -10],\n [-6, -4, 4, -5, -2, 10, -8, 12, -2, -5],\n [11, -2, -5, 2, -3, -4, 2, 2, -8, 9],\n [-8, 2, -2, -3, -14, -6, 2, -2, -4, -2],\n [0, -10, 10, -4, -6, ... | -126228344795 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[9, 4, 10, 4, 9, 11, -6, 8, -11, -5],\n [-6, 4, 0, 4, -13, -5, 4, 2, 5, 9],\n [6, -13, 4, 2, 3, 2, -13, 4, -14, -4],\n [10, -5, -10, 1, 9, -10, 9, 8, -3, -11],\n [8, -9, 4, -6, -3, 11, 0, 1, -2, 10],\n [6, 9, -8, 10, ... | 141663163624 | MATH |
[
{
"content": "What is the value at position (6, 9) of the matrix A^6 where A is:\n[[-11, 12, -6, 8, 0, 5, 11, 0, -2, -4],\n [12, -9, -1, 0, 8, -6, -4, 4, -7, 2],\n [-6, -1, 5, 9, -1, 0, 8, -2, 12, 6],\n [8, 0, 9, -12, -4, 10, -5, -1, 0, -10],\n [0, 8, -1, -4, 7, -4, 0, 2, 8, -4],\n [5, -6, 0, 10, -4, -6, -2, -6... | -175571095 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[9, -2, 10, -8, -7, 8, 1, -4, 11, -11],\n [2, 1, 4, 8, 12, -4, -8, 12, -2, 4],\n [2, 11, 10, 13, 7, -2, 14, -3, -8, -14],\n [-14, 5, 8, -1, 12, 0, -4, 9, 11, -6],\n [2, -11, 5, 4, -8, -14, -6, -2, 9, -13],\n [-13, 9, ... | 151335473008 | MATH |
[
{
"content": "Find the sum of all entries of the 7th power of the matrix:\n[[-6, 1, 3, -7, 8, -4, 5, 4, -11, 5],\n [11, -5, 9, -2, 14, 5, -1, 6, -13, 14],\n [-11, -8, 4, 2, 1, -2, 9, 9, 7, 8],\n [11, 12, 3, 6, -3, 8, 10, -14, 0, -12],\n [-9, -1, 8, -9, -14, 5, -9, -7, 11, 0],\n [-1, 1, 5, 8, 1, 12, 4, 9, -14, -... | -13918251546 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[13, 6, 8, -10, -4, 9, -10, -8, -9, 11],\n [-2, -13, 4, -4, 12, 5, -10, -6, -9, 2],\n [4, 8, -7, -8, -10, 0, -5, 9, 1, -6],\n [-8, -4, -6, 2, -6, -12, 7, -7, 4, 5],\n [1, -8, 13, -8, 5, 10, -2, -12, -3, 9],\n [-7, -2,... | 2300084208 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[11, 6, 8, 14, -3, 13, 14, 4, -9, -3],\n [9, -2, -7, 1, -13, 7, -8, -3, -8, 4],\n [-1, -6, 3, -4, 1, 4, -4, 3, -4, 10],\n [-11, 3, 4, -2, -11, -5, 14, 7, -10, -12],\n [1, 11, -7, 9, -8, 4, -1, 0, 2, 6],\n [-14, -9... | -42346450036 | MATH |
[
{
"content": "Find the sum of all entries of the 8th power of the matrix:\n[[13, 6, 2, -13, 3, 0, 5, 8, -12, -10],\n [-4, -6, -10, 10, -14, 10, -1, -10, -7, 6],\n [-1, 13, 1, -9, -7, -13, 4, 12, -6, -10],\n [-10, 10, 11, 4, -11, 1, 1, 1, -8, 3],\n [9, 6, -14, -12, 10, 6, -7, -14, -8, -8],\n [-7, 4, 2, -4, 0, -6... | -82434621057 | MATH |
[
{
"content": "Find the value at position (1, 5) of the 6th power of the matrix:\n[[-4, -1, -8, -10, 2, -8, -6, -6, -5, 2],\n [-1, -8, 6, -1, 0, -5, 1, -5, -4, -10],\n [-8, 6, -9, -6, 9, -8, 1, -8, -4, 0],\n [-10, -1, -6, -5, 4, -8, 4, 6, 8, 0],\n [2, 0, 9, 4, 9, -6, -6, 7, -8, -1],\n [-8, -5, -8, -8, -6, -6, 4,... | -44671411 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[13, -4, -12, 0, -7, 5, 3, 12, 6, -14],\n [14, 9, -7, -12, -14, 5, 10, 1, -6, 2],\n [12, 1, 8, -9, 8, -8, 9, 1, -7, -5],\n [-1, -4, -13, -3, 13, 13, 5, 5, -2, 0],\n [12, 11, -3, -2, -7, 1, 14, 14, -12, 13],\n [14, -2,... | 4039862706113 | MATH |
[
{
"content": "Find the sum of all entries of the 8th power of the matrix:\n[[1, 0, -6, 7, 8, -3, -7, -2, -10, -1],\n [1, -4, 5, -3, 0, 9, -3, 11, -6, -14],\n [-12, -3, 5, -2, 8, -9, -5, -5, 1, 12],\n [-14, 1, -11, -9, 4, -13, 3, -5, 13, 13],\n [-11, 14, -14, 0, -5, 3, 1, -2, 11, 0],\n [-13, 5, -11, -14, -8, 8, ... | 60110278678 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-14, -14, 10, 5, 2, -4, 11, -3, -12, -9],\n [-4, 14, -2, -4, -7, 14, -5, -13, 9, -1],\n [14, 1, 2, -4, -13, 9, 8, -10, 14, 1],\n [1, 11, -13, 1, 10, -10, -7, 14, 5, -1],\n [10, -5, 8, -13, -12, 3, 6, -13, 6, 14],\n [-6, -13, 10, -8, -... | -287349507 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 10, 7, 12, 5, 7, -10, 4, -8, -12],\n [-2, -1, 1, -2, -13, -1, 5, -8, -10, -1],\n [-6, -5, -8, 13, -1, 10, -1, 10, 13, -13],\n [2, 12, 5, -11, -2, 3, -12, 4, -10, -14],\n [-6, 9, -7, -12, -13... | 5427571636 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[-8, -3, 13, -7, 1, 3, 4, 13, -11, 13],\n [10, 13, -3, 1, 6, 7, 2, -11, 5, 11],\n [9, 9, 11, 7, 9, -6, -10, 2, 2, -13],\n [-13, 6, 8, -8, -11, -2, 5, -4, 11, -12],\n [12, -13, 1, -12, 9, 0, 2, 1... | 8272053293532 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[8, -7, 2, 6, 11, 10, 13, 12, -8, -14],\n [-7, 4, 14, 5, 5, -5, -3, 9, -14, 9],\n [10, 10, 6, -11, -11, -6, 0, 9, 11, 0],\n [11, 13, -8, -3, -12, 5, -6, -1, -2, 9],\n [13, -3, -14, 4, 1, -3, -5, -13, 3, -2],\n [14, 9... | 1439117956017 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (4, 10) of the result:\nA =\n[[-11, 6, 14, -1, -5, 7, 13, 1, -4, 7],\n [14, 10, 11, -1, -1, -13, 7, -2, -12, 3],\n [7, -11, 6, 6, 4, 1, 13, -11, 4, 8],\n [0, -14, 1, 0, 1, 7, 5, -14, 2, -10],\n [-10, 11, -8, -2, -3, -11, 10, -11, 8, 6],... | -2783589675 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[7, -6, -6, -4, -2, 0, 2, -2, -8, 12],\n [-6, -7, -14, -2, -3, -13, -10, 6, -9, -9],\n [-6, -14, -9, 8, 6, -2, -2, 2, -2, -8],\n [-4, -2, 8, 13, -2, 1, 6, 6, -8, 0],\n [-2, -3, 6, -2, 12, -4, 4, -2, -12, -10],\n [0, -13, -2, 1, -4, 4, -6, 0, -2, -8],\n [2, -10,... | 879442359 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-7, -1, 0, -2, -9, -7, -4, 0, -5, 6],\n [-1, -12, -6, 4, 8, -2, 0, -6, 4, 6],\n [0, -6, -14, -1, -4, -7, 5, -5, 1, -11],\n [-2, 4, -1, 4, -4, -3, -12, 0, -4, -5],\n [-9, 8, -4, -4, -13, 0, -2, -10, -8, -4],\n [-7, -2, -7, -3, 0, 3, 0, 5, 4, -12],\n [-4, 0, 5, ... | -580698169 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[3, 9, 8, -12, -9, 7, 11, 6, 14, 9],\n [0, 12, -3, -10, -8, 7, 12, 0, -8, -2],\n [10, -12, 11, 8, -2, 11, -12, 14, -13, 13],\n [8, -11, 2, -9, -4, -9, 7, -13, 2, -12],\n [-3, -1, -13, 7, 14, 13, 7, 14, -10, -5],\n [-5... | 5759876400 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[2, -10, -3, -9, 3, 11, -10, -9, -6, 0],\n [-5, 2, 14, 11, 4, -3, -6, 0, -1, -14],\n [2, -14, 8, 14, 6, 7, -2, -7, -2, 1],\n [-13, -2, 3, -12, -2, 4, -2, 4, -11, 4],\n [3, 10, -9, 4, 10, -11, -11, 9, -8, -8],\n [11, ... | 4517825578 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[-11, -2, -2, -3, 8, 5, 2, -6, 3, 12],\n [-2, 14, 2, 0, -2, -2, 8, 6, 3, 2],\n [-2, 2, -5, -10, 4, 8, -2, 6, 1, -4],\n [-3, 0, -10, 11, 6, -5, 10, -2, 5, -7],\n [8, -2, 4, 6, 8, 0, -3, -1, -3, -4],\n [5, -2, 8, -5, 0, -12, 0, 2, -8, 2],\n [2, 8, -2, 10, -3, 0, ... | -56775545441 | MATH |
[
{
"content": "Find the sum of all entries of the 8th power of the matrix:\n[[11, -12, -11, 0, -10, 5, 5, -10, -5, 1],\n [10, -3, 10, -1, 7, -4, 13, 4, -9, -5],\n [5, -12, 7, 0, -4, 7, -13, 10, 9, -9],\n [2, 13, 3, -11, 8, -6, -5, 6, 11, -13],\n [14, -4, -4, -4, -14, 11, -1, 14, -14, 6],\n [8, 10, -6, 9, -14, 6,... | -1645940072411 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[2, 0, 2, 0, -4, 0, -11, -5, 8, 3],\n [0, 13, -8, 2, -5, -8, -3, -2, 6, -6],\n [2, -8, 13, -1, 0, 9, -5, -4, -1, -10],\n [0, 2, -1, -14, 8, -8, -7, -9, 0, -9],\n [-4, -5, 0, 8, 0, 13, 0, 2, -4, 5],\n [0, -8, 9, -8, 13, -5, 2, 8, 4, 1],\n [-11, -3, -5, -7, 0, 2,... | -494036024528 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-1, 5, -8, -8, 10, -4, -4, 2, -6, -6],\n [5, 0, -5, 11, -14, -4, -5, -9, -1, -10],\n [-8, -5, -4, -2, -6, 12, -2, 0, 0, 3],\n [-8, 11, -2, 12, 12, -4, 2, 2, 0, -8],\n [10, -14, -6, 12, 14, 0, -4, -4, -2, 2],\n [-4, -4, 12, -4, 0, -2, -8, -1, 10, 4],\n [-4, -5,... | 413585444969 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[3, -2, -8, 5, -3, -13, 12, -3, -3, 9],\n [-11, -11, 3, 1, -1, 2, 2, -12, -9, 8],\n [-2, -6, 6, -6, -7, 2, 1, 1, 12, 13],\n [4, 9, 1, 10, -1, 5, -1, -1, -1, -3],\n [-9, 5, -2, 1, -6, -13, 7, 12, 14, -12],\n [-5, 5, -... | 47901119623 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-13, 4, 0, -8, 10, 8, 10, -6, -6, -7],\n [4, -7, 2, 6, 4, 11, 10, 10, -10, 0],\n [0, 2, 13, 7, 2, -7, 7, -10, 4, 6],\n [-8, 6, 7, -3, 4, 0, 0, -2, 4, 0],\n [10, 4, 2, 4, 10, 2, 7, -1, -6, -2],\n [8, 11, -7, 0, 2, 2, 4, -2, 0, 6],\n [10, 10, 7, 0, 7, 4, -6, -7,... | 72349840514 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[-8, -3, 1, -6, 5, -10, -4, -13, 7, 1],\n [-11, -10, -8, -9, 9, 7, -5, -1, -7, 14],\n [-1, -1, 5, 13, 8, -12, -14, 14, -6, -6],\n [7, -13, 1, -7, 11, -9, 8, -2, -14, 4],\n [0, -14, -5, -14, 13, -3, -4, 14, 2, -11]... | -697698404 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the value at position (6, 3) of the result:\nA =\n[[10, 0, 2, 4, -5, 0, 4, -2, 5, -6],\n [0, -5, 1, 4, 8, -4, -5, 5, 8, 6],\n [2, 1, -13, -4, 5, 2, -3, 12, -8, -12],\n [4, 4, -4, 11, -2, 2, -4, -8, -2, 4],\n [-5, 8, 5, -2, 9, 6, 5, 2, 12, 0],\n [0, -4, 2, 2,... | 41705396 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[13, 13, -10, -6, -10, 6, -2, -6, -2, 0],\n [13, 1, 0, -10, 10, -2, 4, -2, -2, -2],\n [-10, 0, 3, -8, -4, 8, -6, 2, -3, -6],\n [-6, -10, -8, -8, -2, 0, 8, -6, 10, -4],\n [-10, 10, -4, -2, 14, -2, 2, 4, -6, 0],\n [6, -2, 8, 0, -2, 1, 4, -2, 1, -12],\n [-2, 4, -6... | 370938800617 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[-12, -6, 2, 2, -10, -2, -4, 7, -5, -4],\n [-6, 1, 9, -6, 0, -2, 4, 4, 0, 6],\n [2, 9, 12, 6, -4, 7, -5, 0, 4, -3],\n [2, -6, 6, -14, -8, 9, 8, 2, 4, 5],\n [-10, 0, -4, -8, 0, 4, 12, -1, -8, 4],... | 21094303373713 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[-1, 8, 3, 6, -4, 2, -6, 3, 0, 10],\n [8, 10, -6, -4, -4, 10, -8, -10, 8, 4],\n [3, -6, -11, 2, 5, -12, 2, 7, -6, 11],\n [6, -4, 2, 9, 0, 6, 2, 10, -4, -10],\n [-4, -4, 5, 0, -10, 0, 3, 4, 8, 2],\n [2, 10, -12, 6, 0,... | 13007515904991 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[5, 14, 2, -5, -6, 7, -9, -4, -13, 8],\n [-3, -3, 1, 10, 7, 12, 9, -3, 6, 3],\n [-2, 0, 1, -11, -3, 2, -14, 7, 3, 7],\n [1, -14, 12, -5, 4, 1, -1, 10, -13, 9],\n [-9, 13, 7, 8, -10, -3, 12, -11, 7, 9],\n [-11, -10, -8, -9, -2, -11, -2, -11, -5, 5],\n [-14, 6, -... | -29733288952 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[-11, -13, 4, 11, -10, -6, 9, -2, -3, 4],\n [-6, -5, 4, -5, -3, -1, -7, 1, 2, 5],\n [-11, -9, -3, 13, 3, -8, -10, -5, -9, 12],\n [-1, -9, -1, -3, 12, 7, 11, -3, -7, -5],\n [1, 5, 11, -7, -6, -2, 14, 5, 2, 4],\n [2, -... | 5805223965 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (4, 7) of the result:\nA =\n[[13, -14, 3, -11, 8, 5, 6, 5, -11, 10],\n [-9, 13, -12, -9, -2, 8, -8, 9, 14, -11],\n [-14, -9, 9, -10, -2, 4, -11, 9, -9, -2],\n [14, -10, -2, 10, -5, -12, 8, 10, 12, -2],\n [12, -3, -11, -5, 11, -12, 2, -6... | -852799305 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[0, -14, 3, -12, 8, 10, -4, -4, -4, 11],\n [-14, 13, -6, 8, 8, 6, 8, -12, 4, 6],\n [3, -6, -9, 2, 0, 4, -8, -1, -6, -5],\n [-12, 8, 2, -9, 10, -5, -12, -4, -2, -3],\n [8, 8, 0, 10, -2, 0, -10, -3, -4, 0],\n [10, 6, 4, -5, 0, 0, 8, 1, 8... | 7430314279 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -3, 0, -6, -1, -4, 10, -2, -2, -12],\n [-3, 3, -3, -2, -2, 4, -10, 8, -8, -2],\n [0, -3, 0, 1, -7, 2, 10, 1, 4, -4],\n [-6, -2, 1, -11, 3, 8, -4, 6, 12, 0],\n [-1, -2, -7, 3, -11, -2, -4, 1... | 231881891393 | MATH |
[
{
"content": "Find the value at position (7, 2) of the 6th power of the matrix:\n[[-3, 3, 1, -13, -4, -3, -10, 12, 12, 9],\n [-9, 10, -4, 6, -5, -11, -6, -3, -5, 12],\n [-1, -10, -14, -10, 1, -10, -10, 14, 3, 14],\n [-9, 6, 3, 13, -5, 0, 9, 7, -4, 11],\n [13, 12, 4, 10, -2, 12, 12, 5, -12, 1],\n [-8, -3, 14, 0,... | 358322225 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[-13, 8, -5, 8, 4, 2, 9, -2, 14, 11],\n [-1, 12, -4, -5, -8, -5, 9, -14, -1, -12],\n [-2, -13, 2, 6, -12, 11, 0, -7, -9, 11],\n [-6, 10, -4, 7, -13, -6, 3, 4, 7, 3],\n [-10, 3, -3, -11, 0, -4, 12, 4, -10, -9],\n [-2, 8, -5, 9, 10, -1, -11, 5, 8, -3],\n [0, 11, ... | 15267432 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[-3, -6, -4, -7, 8, -3, -12, -2, 0, 1],\n [-6, -5, 0, 14, -6, 6, -4, 7, 2, -10],\n [-4, 0, -14, -1, 0, 4, 0, -2, 6, 2],\n [-7, 14, -1, -13, -2, -8, -1, 7, -1, 2],\n [8, -6, 0, -2, 4, -10, 0, 3, -10, -8],\n [-3, 6, 4, ... | 297798137727 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (6, 10) of the result:\nA =\n[[11, 2, 2, 4, -6, 5, 4, 3, 11, -9],\n [2, -10, -4, 4, 6, -2, 8, -2, -4, -4],\n [2, -4, 11, 1, 8, 6, 5, 2, -4, -7],\n [4, 4, 1, 7, -7, 7, -6, -4, -10, -5],\n [-6, 6, 8, -7, 8, -1, -4, 0, -8, 1],\n [5, -2, 6,... | 1853116709 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[13, -3, -2, 2, -11, -5, -14, -4, 1, -4],\n [-6, -13, -8, 4, 3, 14, 5, -8, 8, -6],\n [-3, 14, -12, 8, 7, 11, 1, -8, 8, 11],\n [-10, 10, 8, -8, 13, 4, 2, 1, 6, 9],\n [6, 11, 4, 10, 3, 4, 13, -11, 11, -14],\n [12, -... | 1154018192 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-13, 2, 7, 14, -12, 2, -3, 9, -3, 5],\n [-5, -8, -5, 3, 7, -9, -8, 13, 2, -3],\n [2, 3, -1, -4, -13, 6, -14, -4, -13, 1],\n [7, -12, 5, -14, 6, 5, -7, 4, 11, -14],\n [14, 11, -10, -14, -4, 6, -6, -10, -13, -2],\n [3, 11, 10, -3, -1, -10, 12, 9, -5, 5],\n [-13,... | 117308291232 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[7, 2, -2, -5, 0, -2, -4, 12, 6, -1],\n [2, -2, -7, -4, -5, -7, -10, -8, 0, -3],\n [-2, -7, -9, -2, 2, 6, 7, 6, -10, -9],\n [-5, -4, -2, 12, 4, -6, -2, -3, 5, -1],\n [0, -5, 2, 4, -2, 13, 2, 6, -3, 12],\n [-2, -7, 6, -6, 13, 7, 0, 0, -6, -2],\n [-4, -10, 7, -2,... | 10930951087928 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[-3, 0, -2, -6, 2, -1, 4, 0, 2, -4],\n [0, -1, 1, 2, -3, -1, 8, 2, -6, 7],\n [-2, 1, 8, -8, 7, 0, -4, 2, 2, 6],\n [-6, 2, -8, 4, -3, -6, 6, 10, -4, -8],\n [2, -3, 7, -3, -1, 0, 11, 2, 1, 2],\n [-1, -1, 0, -6, 0, -6, 1, 4, 2, -7],\n [4, 8, -4, 6, 11, 1, -1, 8, -... | -21230866 | MATH |
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