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^7 where A is:\n[[-9, -5, 14, -4, 8, 10, 1, 11, 10, 8],\n [12, -14, 4, -10, 11, 13, 12, -9, -9, -10],\n [-9, 10, -2, -14, -14, 10, -1, -7, -6, 8],\n [-5, -9, -6, 3, 0, -11, -13, -9, 2, -8],\n [8, 8, 5, 0, 9, 6, -13, 6, -3, -5],\n [10, 11, 2, 12, 3, 1, ... | 29905924500 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[10, 6, 9, 3, 7, -2, -3, 0, 0, -7],\n [6, -7, -6, -3, -6, 3, 0, -8, -6, -9],\n [9, -6, -13, -2, 2, 13, -8, 4, 2, 0],\n [3, -3, -2, -3, 6, -6, -4, -8, 3, 6],\n [7, -6, 2, 6, -8, -8, 6, 7, -3, 12],\n [-2, 3, 13, -6, -8, -14, -2, -4, -1, 11],\n [-3, 0, -8, -4, 6, ... | 381743834 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[14, 10, 11, 9, 8, -1, 4, -4, 1, 2],\n [10, -8, 2, 6, 2, 0, 8, -2, 5, -9],\n [11, 2, 0, -8, -5, -8, -2, 8, -2, 4],\n [9, 6, -8, 13, -4, 2, -2, 8, 4, 0],\n [8, 2, -5, -4, -9, 6, 4, -9, 4, -2],\n [-1, 0, -8, 2, 6, -12, 7, 12, 9, -1],\n [4, 8, -2, -2, 4, 7, -6, 2,... | 407877265770 | MATH |
[
{
"content": "What is the value at position (9, 3) of the matrix A^6 where A is:\n[[14, 2, 7, -8, 4, -4, 8, 0, -2, 1],\n [2, -1, -8, 4, 2, 2, -1, -7, -2, -6],\n [7, -8, 7, -2, 4, 2, 2, 0, 10, -7],\n [-8, 4, -2, -1, 1, -1, 10, 1, 0, 11],\n [4, 2, 4, 1, -12, -12, -1, 10, 6, -8],\n [-4, 2, 2, -1, -12, -14, -5, 4, ... | 177355295 | MATH |
[
{
"content": "Find the value at position (7, 9) of the 6th power of the matrix:\n[[-10, 8, 0, 10, -4, 5, 10, -2, -9, -10],\n [-13, 2, 9, -3, -3, 7, -1, -8, 7, 11],\n [14, -1, -8, -6, -1, 6, 2, 2, 10, 6],\n [-2, 14, 12, 14, 3, 4, 2, -9, -3, -9],\n [-12, 0, -12, 8, 0, -14, 6, 14, -12, -10],\n [12, -1, -11, 7, 13,... | -73694509 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[-10, -2, 4, 14, -13, -10, 11, 14, 11, -10],\n [-9, 1, -13, -10, 0, -14, 4, -12, 4, 0],\n [-12, -7, 0, -14, -9, 7, 2, 1, -2, -14],\n [-12, 9, -9, 5, 6, 11, -12, 0, 0, -4],\n [12, 7, -9, -9, -6, -1, 11, 14, -4, 9],\n [-9, 3, 5, 0, 7, -6... | 141513556 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[-9, -14, -1, 3, 2, -3, -2, 2, 0, 6],\n [-14, -1, -4, 4, 4, -9, 0, 6, 4, 4],\n [-1, -4, -10, 11, -11, -12, -2, -4, 0, -3],\n [3, 4, 11, -2, -8, -8, -9, -5, 8, 7],\n [2, 4, -11, -8, 11, 0, -4, 2, 4, 0],\n [-3, -9, -12, -8, 0, 3, 2, 8, -8, 1],\n [-2, 0, -2, -9, -... | -14488360297 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[7, 0, -7, -6, 6, -4, -12, 5, -1, 12],\n [-7, -12, 3, 8, -1, 5, 14, -7, 2, -7],\n [-10, -3, -13, 2, -2, 7, -1, -6, -6, -6],\n [12, 5, -9, -3, -5, 7, -10, 3, -8, -2],\n [-14, -9, 6, 6, -7, -6, -8, -5, 14, -7],\n [-13,... | 4905431190 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[-5, 2, 8, -5, 6, -5, -1, 5, 2, -6],\n [0, -8, -13, -11, 5, 9, 3, -4, -10, 11],\n [-7, 7, 5, -10, -13, -10, -12, -3, 4, -8],\n [4, -11, 8, -1, 4, 11, 11, 14, 3, 11],\n [-8, 0, 6, -14, -3, 11, 14, 9, 4, 12],\n [8, ... | 54468407919 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[-5, 10, 3, -8, 10, 3, -2, -4, -5, 7],\n [-6, 0, -1, -12, 9, -1, 6, 1, 8, 14],\n [13, -12, -7, -13, 14, 9, -13, 8, 3, -8],\n [2, -9, -5, -8, -11, -4, 1, 12, 2, 13],\n [-9, 5, 4, 5, 7, 6, 3, 0, -... | 2859435321513 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[4, -14, 1, 3, -7, -5, 7, -4, 2, 12],\n [10, -8, 11, 12, -12, 14, -8, -9, -12, -7],\n [-14, -10, 9, 4, 12, -2, 11, -4, 13, 7],\n [11, -4, -13, -6, -13, 6, 4, 11, -3, -6],\n [-6, 8, -5, -10, -6, 8, 3, -5, 2, 11],\n... | 27417650 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (1, 4) of the result:\nA =\n[[-7, -4, 14, 6, -10, -7, 11, 6, -6, 2],\n [-10, 4, 4, -13, 4, 8, 0, -7, 13, 9],\n [12, -7, -14, -1, -4, -8, 3, 12, 0, -5],\n [-11, 6, 13, -14, -1, 5, 5, 10, -6, -2],\n [14, 12, 11, 2, 9, 5, -11, -10, 3, 2],\... | -2814605179 | MATH |
[
{
"content": "Find the sum of all entries of the 7th power of the matrix:\n[[10, -2, -2, -6, -6, -12, -10, 2, -4, 10],\n [-2, 10, -5, -12, -4, 8, -12, 12, -2, 0],\n [-2, -5, 7, 1, 0, 12, 0, 8, 10, -4],\n [-6, -12, 1, 4, -4, -2, 8, -12, 0, 11],\n [-6, -4, 0, -4, -14, 1, 10, -4, -10, -2],\n [-12, 8, 12, -2, 1, 13... | -12524780930 | MATH |
[
{
"content": "What is the value at position (5, 4) of the matrix A^6 where A is:\n[[-10, 14, 7, -1, -5, -4, -12, 8, -7, 6],\n [-10, 13, 5, 11, 6, 13, -5, 12, -7, 6],\n [-6, 14, 13, 14, 0, -14, 8, -10, 0, -11],\n [4, 13, -5, 8, 13, -13, -10, 3, 8, -9],\n [14, -5, 0, 8, 13, -6, -2, 3, 10, -8],\n [-13, 1, 11, -13,... | 33769607 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[9, 6, 8, 4, -8, -6, -1, 2, 6, 0],\n [6, -5, 6, -2, -6, -10, 4, -7, 10, -8],\n [8, 6, 4, -2, -6, -5, 1, 11, 10, 0],\n [4, -2, -2, -4, -8, -1, -10, 4, -4, 3],\n [-8, -6, -6, -8, -1, 4, -9, 0, -6, 2],\n [-6, -10, -5, -1... | 72933368404 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[-3, 5, -9, -3, 14, 5, -11, -13, 0, 8],\n [-9, 3, 6, 7, -10, -11, -4, -4, -6, -12],\n [-4, -13, -6, 9, 10, -5, -4, -12, 2, -4],\n [2, 4, -11, -13, 9, -1, 14, 0, 13, -12],\n [14, 5, 7, 11, -2, 7, -2, 3, 7, 5],\n [6, -... | 106913014175 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[-6, 6, 12, 3, 11, -11, -7, 8, 6, -11],\n [1, 6, 8, 6, -7, -8, 8, 10, 9, -2],\n [13, -7, 7, -8, 9, 14, -10, 11, 3, 8],\n [11, 4, -5, -4, -7, -9, -4, 1, -11, -13],\n [-2, -8, 2, 8, -2, -5, -2, -5, -8, -5],\n [14, 1, -12, -11, 13, -11, -11, 1, -6, -9],\n [-5, 10,... | 5565109443 | MATH |
[
{
"content": "What is the value at position (7, 9) of the matrix A^7 where A is:\n[[9, -14, 2, -9, 13, -14, 9, 0, -2, -9],\n [6, -2, 7, -11, -14, 8, -5, 10, -11, -2],\n [-11, 1, -6, -11, 11, 5, -7, 12, -11, -6],\n [-4, 9, -10, -6, -7, 11, -11, 5, -14, 5],\n [13, -2, 9, 13, 13, -10, 7, 5, 6, -5],\n [1, -7, -3, 1... | -17830418836 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-2, 8, 2, -7, -9, 2, 1, -2, 7, 5],\n [8, -11, 10, 2, -9, -4, -2, -9, 0, -7],\n [2, 10, 11, 3, -2, 3, 2, -4, 2, -10],\n [-7, 2, 3, 9, -9, 0, 3, 7, -6, 0],\n [-9, -9, -2, -9, 14, -12, 4, 0, 12, -4],\n [2, -4, 3, 0, -12, 6, 6, -4, 4, 0],... | -26579741191 | MATH |
[
{
"content": "Find the value at position (8, 4) of the 6th power of the matrix:\n[[-6, -2, 0, -12, -2, 10, 0, 4, 10, 8],\n [-2, 7, 8, -3, 8, 0, 10, 10, 6, 0],\n [0, 8, -4, -10, 2, 1, -8, -11, -2, -1],\n [-12, -3, -10, -12, 5, 3, -2, -2, 12, 3],\n [-2, 8, 2, 5, -9, -6, 2, -4, 2, 8],\n [10, 0, 1, 3, -6, 9, 2, -2,... | -96614738 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[1, 13, -4, 0, 13, 6, 8, -8, 0, 8],\n [13, 9, -5, -6, -6, 6, -13, 12, -2, -6],\n [-4, -5, 9, -2, -2, 0, 6, -10, -10, -4],\n [0, -6, -2, 8, 6, 10, -8, 4, 2, 2],\n [13, -6, -2, 6, 10, 2, 7, -1, 4, -2],\n [6, 6, 0, 10, 2, 3, 1, -1, -2, -3],\n [8, -13, 6, -8, 7, 1,... | 4509723218938 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[8, -9, 13, -3, 0, 4, 11, 7, 9, -13],\n [13, 4, 9, 5, 5, -13, 0, 12, 11, -3],\n [14, -14, 8, -1, -11, 7, 9, -4, -8, -2],\n [-1, -8, 7, -4, 5, 5, 10, -4, 6, -6],\n [12, 13, 10, -11, -13, -13, 10, -6, 4, 0],\n [6, 6, 3, 1, -13, 11, -3, 14, -14, -13],\n [-1, 12, -... | 12908535287874 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-4, 2, -8, -7, -5, 9, -12, -2, 8, 2],\n [-2, 12, 4, 14, 7, -6, 6, 14, 1, -10],\n [-6, 13, -6, -9, 6, -5, 3, -4, 9, 13],\n [9, 0, -8, -1, -7, 4, 0, 4, 3, 2],\n [-12, -12, -8, 13, -5, 10, 13, 2, 0, -7],\n [2, -12, -11, 12, -7, -2, -14, ... | -85185440640 | MATH |
[
{
"content": "What is the value at position (2, 8) of the matrix A^7 where A is:\n[[-14, 10, 12, 7, 2, 12, 14, -12, 2, -13],\n [7, -8, -14, 11, 6, 7, 0, -11, -9, 6],\n [-2, 14, 12, 8, -2, 5, -14, -13, -9, 14],\n [11, 14, -4, 3, -2, 6, -3, 5, -8, 5],\n [-8, 12, 9, -8, -13, -4, -14, 6, 14, -2],\n [-3, -2, -8, -3,... | 4155590514 | MATH |
[
{
"content": "What is the value at position (4, 1) of the matrix A^8 where A is:\n[[-14, -5, -8, -5, -3, -4, -6, -10, 12, -11],\n [5, 13, -2, -7, 1, -14, 2, 0, 9, 0],\n [3, 11, -9, -13, -10, 4, -8, -6, -13, -8],\n [14, 14, 9, -1, 11, 9, 8, 0, -3, 5],\n [-11, 11, -2, 14, -6, -3, -5, -6, 6, 8],\n [-8, 10, -3, 1, ... | -314000047992 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the value at position (10, 1) of the result:\nA =\n[[2, 2, -4, 6, 12, -4, 0, 4, 8, 5],\n [2, -5, -3, -3, 2, -12, 1, -10, -4, -3],\n [-4, -3, -9, 8, 0, -1, 7, 3, -2, -9],\n [6, -3, 8, 8, 0, -11, -2, -6, 10, 0],\n [12, 2, 0, 0, 2, -2, -8, 4, 11, 10],\n [-4, -1... | 89674951891 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[-9, -9, 0, 13, -12, -13, -10, -7, 4, 6],\n [1, 4, 8, 1, -9, 7, -14, 3, 7, -7],\n [-10, -3, 3, -10, 10, 7, 14, -2, 6, 11],\n [7, 14, -3, 1, -1, -4, 13, -6, 8, -5],\n [1, 4, -5, 11, 6, -11, 12, 6, -7, -4],\n [-9, -11, 6, 12, 8, 9, -10, 3, 7, 10],\n [-12, -8, 9, ... | 68418901033 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[-11, 10, -3, 9, 1, 4, 11, -3, -9, 1],\n [-3, 10, 11, 9, -5, -10, 13, 14, 13, 10],\n [10, 4, -3, -7, -11, 11, -8, 11, 9, 8],\n [-10, -4, 2, 13, 9, 6, -12, -13, 4, 14],\n [10, -13, -1, 11, -14, 1... | 501524354854 | MATH |
[
{
"content": "Find the value at position (2, 8) of the 6th power of the matrix:\n[[-12, 10, 0, -9, -4, -13, 11, 13, -13, -14],\n [-4, -10, 11, -9, -12, 5, -10, 5, -6, 13],\n [4, -10, 8, -3, -3, 1, -8, -1, 7, -6],\n [0, 8, -4, -11, -4, 11, -6, -9, 2, -6],\n [12, 8, -9, -9, -11, 5, -4, -12, 9, 9],\n [3, 1, 6, 1, ... | 316994 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-2, -13, 8, -6, -12, 0, 8, -12, -3, -9],\n [4, 2, -9, 12, 4, 2, 1, 6, -7, 9],\n [9, 4, -7, 5, 0, -7, -12, 1, -12, -14],\n [-7, 9, -6, 7, -3, 3, 2, -7, 11, 5],\n [-4, 12, -8, -1, -5, 0, -3, 5, 2, -7],\n [11, -1, 10, 11, 0, 10, 10, 13, ... | 24371686447 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[3, -10, 14, -2, 4, 4, -2, 0, -8, 2],\n [-10, -7, 6, -2, -7, -1, 0, 4, 2, -2],\n [14, 6, -2, 12, 2, 2, 0, 0, -4, -2],\n [-2, -2, 12, 10, -10, 12, -6, -5, 4, 3],\n [4, -7, 2, -10, 2, 12, -12, 0, 2, -2],\n [4, -1, 2, 1... | 363456872407 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[13, 0, 8, 6, -2, -8, 0, -3, -12, -2],\n [0, 5, -4, -2, -9, -10, 10, 5, 0, 12],\n [8, -4, -14, 4, -8, 4, -4, -2, -12, 8],\n [6, -2, 4, 4, 2, -2, -2, 2, -5, -5],\n [-2, -9, -8, 2, 10, -2, -12, 7, 3, 3],\n [-8, -10, 4, -2, -2, 14, 0, 2, 6, 10],\n [0, 10, -4, -2, ... | 415175145547 | MATH |
[
{
"content": "Find the value at position (8, 6) of the 6th power of the matrix:\n[[5, -2, 8, -12, -8, -2, 2, 8, 8, 4],\n [-2, 3, 11, -7, 2, 4, 12, 3, 4, 8],\n [8, 11, 12, 0, 6, 10, 10, -4, 6, -6],\n [-12, -7, 0, 9, -1, 6, 0, 7, -7, 0],\n [-8, 2, 6, -1, -8, 8, -8, 0, 6, 14],\n [-2, 4, 10, 6, 8, 9, 6, 4, 1, 2],\n... | -102790539 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[-5, -6, 10, -10, 0, 10, 0, 0, 0, 7],\n [-6, -5, -6, -8, -2, -5, -9, -3, 10, 2],\n [10, -6, 2, 0, 14, -4, 10, 12, 4, 8],\n [-10, -8, 0, 10, 6, -1, -4, 7, 4, -1],\n [0, -2, 14, 6, -7, -4, -5, 8, ... | 601089628565 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[-1, -14, 1, 10, -9, 3, 1, 4, 1, -10],\n [12, -3, -9, 10, -13, 1, 6, 8, -4, -3],\n [-4, 8, 5, 4, 14, -7, 14, 3, -10, -3],\n [-5, 0, -10, 2, 8, -11, 11, -3, 3, -7],\n [5, 2, -7, -2, 12, 8, -12, -12, -8, 3],\n [6, -... | 69884202735 | MATH |
[
{
"content": "What is the value at position (10, 7) of the matrix A^8 where A is:\n[[-5, -6, 4, 2, -8, -2, -3, 2, 8, -12],\n [-6, -11, -2, -1, 10, 7, -1, 7, 2, -5],\n [4, -2, 4, -1, -1, 2, 3, 1, -6, 10],\n [2, -1, -1, -13, -4, 4, 0, 8, -6, 7],\n [-8, 10, -1, -4, 14, -6, -8, -2, 2, -12],\n [-2, 7, 2, 4, -6, -10,... | 565867460040 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[14, -10, -14, -4, 4, -10, 7, 14, 9, 2],\n [4, 2, -10, 9, 5, 14, 12, -6, 7, -9],\n [12, 6, -2, 11, 6, -4, 8, 9, 8, -14],\n [2, 11, -9, -12, 1, -2, -3, 10, -4, 8],\n [-13, 13, 4, -7, -2, -1, 0, 2, 0, 6],\n [-5, -14, -3... | 4819752425 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[-12, -14, 11, 0, 0, 5, 2, 4, 2, 6],\n [-14, 5, 3, -10, 7, 0, -4, 7, -6, 10],\n [11, 3, 3, -10, 6, 8, 3, 6, 4, 0],\n [0, -10, -10, 2, -3, -4, -9, 10, 12, 2],\n [0, 7, 6, -3, -7, 8, 2, -12, 4, -4],\n [5, 0, 8, -4, 8, -5, 4, 6, 5, 12],\n [2, -4, 3, -9, 2, 4, 11, ... | 2165605184472 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[4, -5, 7, 0, 3, 4, -4, -4, -4, -6],\n [-5, -8, 4, 0, -5, 2, 0, -8, 3, 12],\n [7, 4, -13, -3, 4, -5, -2, 2, 2, 8],\n [0, 0, -3, 14, 3, 14, -4, -8, 4, -2],\n [3, -5, 4, 3, 13, 6, 0, -1, 4, -4],\n [4, 2, -5, 14, 6, 0, 4, 2, -4, 4],\n [-4, 0, -2, -4, 0, 4, 7, -2, ... | 237474164466 | MATH |
[
{
"content": "Find the value at position (6, 3) of the 6th power of the matrix:\n[[11, 4, 12, 2, 7, 4, -6, -10, 4, 2],\n [4, 2, 4, 9, 0, 2, 6, -4, -4, -2],\n [12, 4, -13, -4, 2, -8, 0, 4, 2, 0],\n [2, 9, -4, -6, -10, 0, 3, 12, -4, 2],\n [7, 0, 2, -10, 2, 4, -4, 8, -2, 7],\n [4, 2, -8, 0, 4, -2, -8, 0, 12, -2],\... | 120943336 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the value at position (1, 9) of the result:\nA =\n[[13, -7, 6, -7, 0, 4, -12, 2, 4, -2],\n [-7, -8, 2, 6, -6, -9, -1, 8, 0, 1],\n [6, 2, 9, -6, 7, -7, 8, 0, 4, 0],\n [-7, 6, -6, 6, -1, -2, -14, -1, -10, -2],\n [0, -6, 7, -1, -1, -11, -4, 6, -7, -4],\n [4, -9... | 159071926 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[-5, 11, -7, -4, 10, -7, 10, 5, -5, 2],\n [8, -4, -3, -5, 5, 2, -12, -8, 12, -12],\n [2, 8, -7, 6, 7, 4, -1, -10, 4, -2],\n [3, 8, 11, -4, 8, -3, -7, -3, -14, 3],\n [-13, -3, 4, 8, -8, -8, -14, 3, -7, 10],\n [-5, ... | -226741698680 | MATH |
[
{
"content": "Find the value at position (4, 2) of the 6th power of the matrix:\n[[14, -6, -4, 4, -8, -1, -3, -2, -4, 6],\n [-6, 1, -6, 12, -4, 10, 0, -2, 1, 0],\n [-4, -6, 14, -1, -4, 0, -2, 10, 3, -8],\n [4, 12, -1, -6, 0, 6, 6, 4, 5, -5],\n [-8, -4, -4, 0, 12, -1, 0, 9, -2, -2],\n [-1, 10, 0, 6, -1, -11, -2,... | -13601271 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the value at position (8, 6) of the result:\nA =\n[[-8, 4, 0, -9, 5, 7, -8, 9, -1, 7],\n [-11, -6, -8, 10, 0, -12, -10, 2, 12, 13],\n [9, -14, -14, 1, 8, -1, -4, -1, -7, 4],\n [-13, 8, -5, -10, 0, -14, -13, 4, 7, 2],\n [0, 9, 3, 6, -7, 14, 6, 14, -1, -7],\n ... | -69356494 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[8, 2, -6, 0, -4, -10, -5, -12, -6, -12],\n [2, 2, -2, 0, -4, 2, -2, -4, 4, 0],\n [-6, -2, 3, -4, -1, 2, 7, -4, -9, -4],\n [0, 0, -4, 12, -8, -2, 5, -3, 12, -3],\n [-4, -4, -1, -8, 9, 1, -2, -8,... | 5150808350833 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the value at position (7, 1) of the result:\nA =\n[[-9, -7, -13, -6, 10, 12, -6, -8, -6, 2],\n [-12, 1, 1, -13, -4, 1, 0, -14, 6, 2],\n [-12, 7, 7, 4, 5, -8, 7, 14, -4, 3],\n [10, -1, 1, -9, -13, 8, -4, -4, 11, -5],\n [-11, 2, -5, -6, -2, -4, -5, 9, -10, -12... | 212050191336 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[11, 2, -7, 0, 0, 0, 10, 8, -4, 6],\n [2, 5, 4, -4, -4, -2, 4, 8, 0, 7],\n [-7, 4, 6, 4, -6, -10, -4, 0, 2, -8],\n [0, -4, 4, 5, 7, -10, -6, 0, -2, 3],\n [0, -4, -6, 7, -7, 10, -2, 6, 10, -2],\n... | 5965875019455 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[-9, -12, -10, 8, 10, -5, 11, -2, 4, 0],\n [-12, 1, 6, 10, -2, 7, -1, -4, 8, 1],\n [-10, 6, -6, -4, -5, 0, 0, -5, 0, -12],\n [8, 10, -4, -9, -2, 4, -2, -10, 2, -2],\n [10, -2, -5, -2, 10, 4, 0, 1, 0, -1],\n [-5, 7... | 1044588362 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[-8, 0, 5, -11, -13, 7, -2, -3, -5, 4],\n [0, 2, 6, -9, 12, -10, 6, 13, 11, -2],\n [12, -1, 14, 9, -1, 0, 1, -5, -14, 9],\n [14, -4, -8, 2, 10, 13, -11, 14, -8, -12],\n [9, 5, -1, 3, 3, 9, 9, -14, -9, -6],\n [10, -13, -7, 9, 5, -11, 6,... | 683014601 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[-8, -5, -12, 14, -1, -5, -2, -2, -11, -2],\n [-5, 12, -8, 2, -10, 6, -2, 0, 2, -8],\n [-12, -8, 11, 4, 8, -4, 3, 4, -6, -5],\n [14, 2, 4, 2, 4, 4, 8, 7, -4, -2],\n [-1, -10, 8, 4, -5, -11, 0, -... | 362637746158 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[-9, 5, -2, -9, -4, -9, 6, -4, 3, -5],\n [5, 10, 12, -6, 2, -5, 1, -13, -6, -8],\n [-2, 12, 10, 4, -9, -4, 2, -8, -4, -4],\n [-9, -6, 4, 11, -4, 0, 0, -7, -1, 2],\n [-4, 2, -9, -4, -9, -6, 8, -1, 8, 10],\n [-9, -5, -4... | 680548412991 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (2, 1) of the result:\nA =\n[[-1, -2, 8, -5, -5, 13, -11, -1, -3, 7],\n [-9, 0, -10, -5, -6, 12, -5, 9, -3, 7],\n [-11, 14, -11, -2, 10, -1, -3, -2, 5, -2],\n [8, 7, -13, 6, 4, -6, -5, 2, -5, 5],\n [-2, 5, 10, -14, -13, 2, -2, 2, 13, -2... | -330647299 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[2, 0, 0, 0, -13, -6, 0, -1, -2, -10],\n [0, 13, -4, 7, 6, 0, -4, 6, -4, -6],\n [0, -4, -1, 6, -3, -2, 8, -8, -5, 10],\n [0, 7, 6, -6, 2, -11, 0, 9, -2, 0],\n [-13, 6, -3, 2, 2, -8, -7, -12, 3, -2],\n [-6, 0, -2, -11, -8, -1, -2, 8, -6, 10],\n [0, -4, 8, 0, -7,... | 367168063730 | MATH |
[
{
"content": "Find the sum of all entries of the 8th power of the matrix:\n[[7, 2, -8, 5, -14, -6, -6, -4, 4, -9],\n [-8, 14, 0, 5, -9, -6, 0, 11, 7, 8],\n [-9, -8, 2, -9, 13, -6, 12, -12, -1, -9],\n [-11, 1, 8, 1, 8, 14, -6, -11, -7, 9],\n [-7, 9, -9, -7, -9, 11, -1, -1, 3, -2],\n [0, -12, -9, 8, 5, 2, 5, 1, -... | -184286037378 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[-5, 0, 10, -3, -9, -8, -8, 8, -11, 14],\n [-2, 0, 3, 3, -8, -5, 1, 8, 11, 8],\n [14, -7, 4, 14, -4, 6, -9, 14, 9, 9],\n [-5, 4, 13, -1, 5, -9, -11, 11, 5, 0],\n [-10, 1, 11, -8, 13, -13, -2, -13, 13, 11],\n [-6, 5, ... | 206261123075 | MATH |
[
{
"content": "Find the sum of all entries of the 8th power of the matrix:\n[[1, 11, -8, 10, 2, 12, -12, 7, 0, -11],\n [11, 1, -1, 11, 2, -6, -8, -1, 12, 13],\n [8, -3, 2, -6, -3, -3, -7, 12, 13, -5],\n [-3, -10, 5, -14, -6, 0, 9, 14, -13, -11],\n [-11, 14, 8, -12, 1, -7, 12, -8, 11, -3],\n [-3, -11, 0, 10, -9, ... | 221867772794 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the value at position (8, 5) of the result:\nA =\n[[3, 3, -3, 3, -7, 14, -7, 11, 13, -7],\n [13, 5, 0, -7, -1, -2, 8, -7, 2, 4],\n [11, -9, 2, -11, 10, -8, 2, 14, 13, 7],\n [7, 13, 3, -9, -5, 3, 9, -8, -1, 7],\n [-1, -5, 7, 10, -6, 11, -5, -13, -12, 1],\n [-... | -48836642 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[10, -4, -13, 6, -13, -1, 3, 1, 13, -4],\n [-6, -8, -11, 1, -1, -4, -7, -4, 12, 14],\n [5, 2, 13, 11, 4, -5, -3, -14, -13, 3],\n [-8, 1, -2, -11, -5, 13, -6, 3, -6, 7],\n [-5, -7, 8, -4, -2, 9, ... | 1565597339523 | MATH |
[
{
"content": "Find the sum of all entries of the 7th power of the matrix:\n[[4, 14, 3, -8, 4, -10, 8, -2, -13, 9],\n [3, -11, -11, -7, -4, -14, 13, -6, -9, -11],\n [-9, -2, 14, 7, 14, -6, 12, -1, -3, -11],\n [-7, 2, 7, -10, -12, -11, -7, 1, -4, 12],\n [11, 12, -13, -7, -8, -14, 14, -13, 8, 12],\n [-2, -4, -12, ... | 496131833514 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[-11, 5, 2, 3, -4, -5, 6, 3, 4, -6],\n [-10, -14, -10, -12, -14, 4, 12, -9, -5, -10],\n [-3, -3, 2, 12, -13, 6, 10, 12, -1, -3],\n [13, -2, -10, -10, 2, -10, 9, 10, 11, 4],\n [-11, -8, 8, 2, -4,... | 5470853110904 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[13, 0, -4, 1, -4, 10, -5, 2, -4, -1],\n [0, 8, 1, -4, 0, 2, -6, 2, -1, 10],\n [-4, 1, 14, -10, -5, 5, -6, -8, 0, 1],\n [1, -4, -10, 1, 1, 5, 0, -9, 1, -12],\n [-4, 0, -5, 1, 1, 8, 6, 8, -8, 0],\n [10, 2, 5, 5, 8, -7, -9, 4, -5, 2],\n [-5, -6, -6, 0, 6, -9, 12,... | -450976079 | MATH |
[
{
"content": "What is the value at position (3, 2) of the matrix A^7 where A is:\n[[9, -8, 2, 6, 0, -10, -2, -2, -1, 0],\n [-8, -2, 7, 2, -4, 2, 2, -6, -2, 1],\n [2, 7, 8, -6, 0, 6, -2, -1, -5, -8],\n [6, 2, -6, -10, 0, 8, -3, -1, -3, 1],\n [0, -4, 0, 0, -7, 1, 0, -1, 5, 0],\n [-10, 2, 6, 8, 1, -14, -1, -4, 4, ... | 1292703594 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[-6, 6, 13, 11, 0, -7, 10, 10, 8, 11],\n [0, -14, -7, 8, -11, 7, -5, 1, 3, -11],\n [-7, -11, -5, 5, -11, 1, -3, -5, 10, -4],\n [-13, 1, 8, 4, -3, -11, 2, -3, 1, -12],\n [-13, 11, -8, -9, -14, 0, 12, -3, -2, -7],\n [-6... | 4534892412 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[11, 11, 4, 10, 9, 4, -5, 2, 1, -10],\n [14, -11, 9, 7, -5, 6, 10, -9, 14, -4],\n [-4, 12, 1, -1, 12, 4, 7, 13, 12, 13],\n [-11, -10, 7, 10, 4, 2, 3, -7, -11, 8],\n [3, 13, -4, 11, -1, -2, 9, 11, 1, 13],\n [-3, -6, -8, -5, 14, 12, 2, 3, 10, 11],\n [-8, 12, -12,... | -1339302135 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[-1, 2, 6, 0, -2, -6, 3, -3, 10, 0],\n [2, 1, -2, 0, -2, -2, -2, 6, 2, -6],\n [6, -2, -7, 4, 8, -1, -13, 4, -2, -6],\n [0, 0, 4, -4, 6, 0, -6, 7, -8, -8],\n [-2, -2, 8, 6, -4, -4, 0, -2, 2, -4],\n [-6, -2, -1, 0, -4, -3, 10, 5, 6, -6],\n [3, -2, -13, -6, 0, 10,... | 48183436 | MATH |
[
{
"content": "Find the value at position (7, 7) of the 7th power of the matrix:\n[[3, 14, -11, 0, -10, 6, -1, 1, 0, -4],\n [-13, 8, 9, 3, -11, 0, -3, 12, 12, -12],\n [-11, 6, 1, -9, -13, 11, 7, -6, -3, -3],\n [12, 9, -1, 2, -6, -3, 12, -5, -4, -13],\n [13, 1, 12, -14, 7, 14, -14, 7, -13, -3],\n [12, 8, 8, 13, 5... | 925130042 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the value at position (5, 4) of the result:\nA =\n[[3, -8, 4, 0, -2, -9, 10, 3, -3, 10],\n [-8, -5, -8, -10, 2, -2, -3, 8, 11, 2],\n [4, -8, -1, -5, 3, 4, 4, 1, 12, 7],\n [0, -10, -5, 12, 2, -3, -3, 0, 10, -6],\n [-2, 2, 3, 2, 7, -8, -10, 4, -5, 5],\n [-9, -... | -8154783 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[13, -6, -3, -2, 1, 14, -2, 8, -1, -8],\n [-13, -3, 11, 13, 9, 2, 9, -10, 14, 5],\n [-5, 3, -12, -2, -2, -5, 14, -13, 12, 13],\n [1, -11, 4, -10, -8, -6, -10, -7, -13, 7],\n [9, 10, 12, 5, 5, -8, 14, -11, 6, 0],\n [3, -13, 12, -1, -5, -10, -3, -5, 11, 14],\n [3... | 97697066441 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[1, 0, 3, -12, -1, -14, -8, -13, -5, 9],\n [10, 1, -3, 12, 3, -9, 12, 2, -7, 6],\n [-6, 4, -13, -8, -4, 8, -2, -5, 0, 6],\n [-8, 13, -9, 10, -3, -12, 1, 5, -6, -5],\n [-2, -7, 11, -9, 13, -12, -3, -6, -6, -4],\n [-9,... | 4418990210980 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[-14, -1, 0, 6, 4, 8, 9, -8, 4, 8],\n [-1, 8, -8, -8, -2, 8, -4, 3, 7, 7],\n [0, -8, 1, 12, 0, 12, -1, 4, -2, -10],\n [6, -8, 12, -1, 4, 8, 2, 11, -4, 2],\n [4, -2, 0, 4, 13, -4, 0, 4, 0, -10],\n [8, 8, 12, 8, -4,... | 620448728 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[-4, 6, 5, 6, 10, 6, 11, 1, -8, -4],\n [6, -11, 3, -4, 0, 0, -4, 2, -3, -4],\n [5, 3, -12, -4, 4, -8, -6, 0, 2, 6],\n [6, -4, -4, -2, 1, 2, -8, -1, -14, 4],\n [10, 0, 4, 1, 11, -6, 12, 13, 0, 3],\n [6, 0, -8, 2, -6, ... | 461305922475 | MATH |
[
{
"content": "Find the sum of all entries of the 6th power of the matrix:\n[[-12, -1, 6, 1, 8, 11, 5, -9, -14, 5],\n [9, -10, -7, -3, -14, -2, 11, -6, 5, 10],\n [9, -7, -2, 13, -13, 0, -1, 4, 11, -6],\n [4, -1, -7, -10, -8, -11, -7, -11, 6, -14],\n [11, -7, -8, -4, 6, 1, 7, 2, 9, 10],\n [12, -10, 11, -8, -5, -2... | 4088005610 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-1, 10, 8, -7, 10, 10, 0, 5, 3, 6],\n [10, -1, 2, -4, 1, 4, -1, 0, 9, -2],\n [8, 2, -9, -10, 0, 3, -2, 10, 2, -8],\n [-7, -4, -10, 7, 2, -4, -3, 2, 12, 8],\n [10, 1, 0, 2, 8, 1, 0, 11, -2, 2],\n [10, 4, 3, -4, 1, 12, 4, 2, 10, 10],\n [0, -1, -2, -3, 0, 4, -7, ... | 19956390347 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[-8, -6, 3, -1, -11, -7, 1, -11, 13, 4],\n [11, -9, 4, 0, -3, -3, -13, -6, -12, -14],\n [-1, 13, 13, -2, 14, 10, -10, -8, -1, 1],\n [3, -1, -14, -9, 14, 6, -5, -9, -13, -8],\n [2, 12, 9, -1, 8, -8, 7, 11, 6, -6],\n [4, 10, 6, 9, -4, -1... | 1802270574 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the value at position (6, 7) of the result:\nA =\n[[2, 14, 0, 11, 12, -7, -8, 2, -3, 13],\n [-11, 5, 13, 10, 11, 3, -11, -5, -12, 11],\n [-10, -3, 8, -10, -10, -11, 10, -9, -5, -9],\n [12, 7, 7, -14, 1, -4, -9, 5, 3, -9],\n [2, -3, 2, 6, 7, 3, -5, 9, 5, -3],... | -97310825559 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[-11, 4, -4, 2, 0, -8, -10, -3, -2, -7],\n [4, -5, -7, -6, -6, 1, 2, 5, 11, -10],\n [-4, -7, -1, 12, -8, 5, 8, -5, 3, -5],\n [2, -6, 12, -13, 10, -5, 4, 7, 4, -5],\n [0, -6, -8, 10, 7, -8, -8, -... | 811904815516 | MATH |
[
{
"content": "Find the value at position (3, 7) of the 8th power of the matrix:\n[[-4, -1, 6, -5, -7, -9, 4, 8, 4, -3],\n [6, -8, 3, 11, 5, 3, 8, -12, -6, 12],\n [-9, -14, -5, -7, 14, 8, 2, -12, -12, -12],\n [-8, 7, -4, 13, 3, -10, 7, 13, -13, -1],\n [-14, -11, -1, 0, 13, 5, 5, 2, -12, 8],\n [-11, 3, 9, 12, -14... | -169223497234 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[0, 4, -10, -2, -11, -2, -9, -3, 14, -6],\n [0, 6, 0, 2, 14, -10, -10, 10, 9, -10],\n [6, -1, -13, -6, -1, 12, 0, -11, 8, 11],\n [-9, -1, -10, 12, -4, 6, -1, -8, -1, -2],\n [3, 10, -13, -6, -4, 5, 14, 11, -4, 11],\n ... | 321729715141 | MATH |
[
{
"content": "Find the sum of all entries of the 6th power of the matrix:\n[[2, -4, 2, 0, -1, 0, -10, 11, -4, -8],\n [-4, -10, 0, -4, -4, -6, 2, 8, 4, -10],\n [2, 0, -8, -10, 0, -6, 4, -3, -6, 6],\n [0, -4, -10, -13, -10, 0, 2, -8, 6, 2],\n [-1, -4, 0, -10, -9, -8, -2, -3, -6, -3],\n [0, -6, -6, 0, -8, -5, 8, -... | 5317113287 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[-1, 1, 0, 6, 4, -4, -4, 12, 4, -1],\n [1, -12, -4, -6, -6, 0, 0, 10, 3, 5],\n [0, -4, -8, 1, -2, -8, -2, -6, 8, -2],\n [6, -6, 1, 11, -7, -11, -4, 8, 4, 0],\n [4, -6, -2, -7, 2, 4, 11, 6, 1, -4],\n [-4, 0, -8, -11, ... | 305876662909 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[-9, 5, -2, 0, 14, 2, 4, -1, -4, -10],\n [5, -14, -2, 2, -2, -2, -6, -2, 2, 8],\n [-2, -2, 13, -2, -2, -11, -2, -3, 4, 0],\n [0, 2, -2, -11, 6, -8, -10, -2, 2, 8],\n [14, -2, -2, 6, 14, 2, -12, 12, 7, 8],\n [2, -2, -... | 33044432757 | MATH |
[
{
"content": "Find the value at position (8, 10) of the 8th power of the matrix:\n[[9, -9, -9, 13, 1, -13, 14, 1, -12, 7],\n [1, -3, -12, -4, -4, 8, 1, -10, 5, -7],\n [-4, -4, 3, 4, -5, 13, -11, 13, -5, -1],\n [-9, -10, 0, -10, 8, 9, -9, 4, 5, 2],\n [-1, -4, -1, -10, -2, -3, 11, 9, 4, -5],\n [-2, 0, 5, -2, -11,... | -51875338854 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[4, -4, -2, 12, -4, 0, -9, -9, 4, -9],\n [-4, -6, -6, -2, -8, 0, -4, -1, -7, -2],\n [-2, -6, -7, 7, 12, -6, 1, 6, 8, 12],\n [12, -2, 7, 4, -2, 9, -2, 2, -4, 5],\n [-4, -8, 12, -2, 9, 0, 0, -1, 2, -4],\n [0, 0, -6, 9, 0, 3, 2, 8, -6, -8... | 2423966092 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[13, 1, 0, -6, 5, 0, -13, 5, -1, 13],\n [11, -4, -12, -13, 3, -1, 9, 14, -10, -3],\n [-1, -9, -7, -8, -8, -3, 14, -8, -3, 12],\n [1, 12, -8, -7, -14, -2, 4, -14, 9, 3],\n [-8, 7, 12, 2, 13, 0, 7, 10, 4, 13],\n [8, -11, 2, -8, 1, 2, 12, 5, 14, 0],\n [-6, 6, 8, -... | 423290851405 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-9, 0, -4, 0, 5, -6, -12, -3, 0, 0],\n [0, 12, -2, 1, -8, 6, -4, 10, -11, 9],\n [-4, -2, -13, -6, -5, -6, 6, 4, -10, -4],\n [0, 1, -6, 8, 1, -6, 6, -4, 4, -6],\n [5, -8, -5, 1, 9, -8, 0, 7, 8, 3],\n [-6, 6, -6, -6, -8, 0, 0, 4, 4, 6],\n [-12, -4, 6, 6, 0, 0, -... | 513023647754 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[4, 11, -11, 5, 9, 2, 9, -6, -4, 8],\n [-14, -8, 7, -10, -10, -14, -9, -2, 0, -11],\n [2, 13, 9, 9, 13, -2, -4, -11, 14, -8],\n [4, 9, -8, -1, 6, 1, 6, -6, 7, 7],\n [-13, 12, 1, -10, -3, 5, 11, 0, -12, -6],\n [12, 13,... | 334788509015 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[1, 0, 1, 0, 6, 6, -3, -2, 2, -4],\n [0, -13, 5, -2, 0, -6, -1, 6, -2, -10],\n [1, 5, 2, 12, 4, -6, -8, -4, -4, -1],\n [0, -2, 12, 4, 10, -7, -1, 0, 0, -4],\n [6, 0, 4, 10, 1, 0, -10, 2, -1, -2],\n [6, -6, -6, -7, 0, -1, 13, -11, -1, 4],\n [-3, -1, -8, -1, -10,... | 78295230 | MATH |
[
{
"content": "Find the value at position (8, 10) of the 7th power of the matrix:\n[[-8, 0, -10, 12, -8, 6, 7, 5, 4, 7],\n [0, -9, -4, -4, 6, 5, -1, 6, -6, -8],\n [-10, -4, -9, -2, -3, 2, 1, 0, 4, 8],\n [12, -4, -2, 13, -6, -2, 2, -7, -10, -10],\n [-8, 6, -3, -6, -14, -2, 8, 8, 6, 13],\n [6, 5, 2, -2, -2, -13, 5... | -10573665007 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[11, 2, -6, 0, 10, 2, 0, -4, 0, -5],\n [2, 4, -4, 0, -9, 0, -12, 6, -5, 2],\n [-6, -4, -10, 0, 4, -8, 12, 2, 3, -9],\n [0, 0, 0, -13, 6, 6, 0, 8, 10, -2],\n [10, -9, 4, 6, -6, -4, -2, -7, 10, 2],\n [2, 0, -8, 6, -4, 3, 8, 6, -6, -6],\n [0, -12, 12, 0, -2, 8, 9,... | 292677761113 | MATH |
[
{
"content": "Find the value at position (4, 10) of the 6th power of the matrix:\n[[-6, -9, -1, 4, -4, 2, 7, -6, -6, 10],\n [-9, -9, 0, 4, 4, -1, -2, -2, 8, -3],\n [-1, 0, -4, 8, -12, -10, -6, 0, 2, 6],\n [4, 4, 8, -7, -12, 7, 0, -2, 5, -2],\n [-4, 4, -12, -12, 10, -2, 9, -3, -6, 1],\n [2, -1, -10, 7, -2, 10, -... | -27990663 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[-6, 12, -11, 7, 4, -6, 8, 8, 5, -9],\n [12, -4, 9, 0, 7, -9, 5, 9, -5, 9],\n [10, 7, 3, 1, -11, 5, -2, 9, -10, 5],\n [9, 14, 4, 3, 5, 12, 2, 1, -14, 6],\n [14, 12, -14, 5, 9, -1, 9, -13, 0, 14],\n [-12, -2, 4, -14, -... | 23949920678983 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-9, -4, 0, 6, 3, -2, -8, 6, -10, 8],\n [-4, -8, -7, 6, 10, 2, -4, -8, -2, 6],\n [0, -7, -3, -2, -3, -8, -1, 2, 2, 0],\n [6, 6, -2, -13, 6, 8, -10, -1, 4, 2],\n [3, 10, -3, 6, 1, -2, 4, -2, 10, -2],\n [-2, 2, -8, 8, -2, 12, -7, -3, -6, -3],\n [-8, -4, -1, -10, ... | -4628659620 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[2, 12, -14, 6, 13, 13, -10, 13, 10, 5],\n [6, -2, -9, 14, -5, 8, -6, 14, -9, -14],\n [9, 3, 10, 12, 8, -8, 11, -5, -3, 6],\n [9, 11, 0, 2, -12, 10, 0, -14, -4, 9],\n [-9, 13, 14, 1, 11, 6, -3, 7, 12, 6],\n [0, 10, 3,... | 3834051066454 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[10, 10, -2, 2, 2, -3, 7, -10, -8, 4],\n [10, 13, 0, -4, 0, 3, 8, 8, -8, 6],\n [-2, 0, 6, 6, -2, 6, -6, 2, -6, 5],\n [2, -4, 6, -11, -4, 8, -4, 0, -10, -4],\n [2, 0, -2, -4, -1, 0, 0, -4, 6, -1],\n [-3, 3, 6, 8, 0, -14, 10, -6, -6, -10],\n [7, 8, -6, -4, 0, 10,... | 4054526346738 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[11, -7, 0, 12, 8, -6, -4, 3, 10, -3],\n [-7, 13, 2, 1, -4, -2, -4, 9, 6, -6],\n [0, 2, -7, 0, -11, 0, -4, -8, -1, 0],\n [12, 1, 0, -6, -6, -9, 8, -2, 2, -4],\n [8, -4, -11, -6, 13, 9, -7, 10, -7, 2],\n [-6, -2, 0, -9, 9, 10, -8, -3, -6, 0],\n [-4, -4, -4, 8, -... | 19199580688 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the value at position (7, 9) of the result:\nA =\n[[0, 6, 2, -8, -7, 2, 6, 13, 13, 0],\n [6, 12, 10, 6, 0, 6, 0, -6, -8, -1],\n [2, 10, 13, -6, -4, 0, 4, -6, -12, -9],\n [-8, 6, -6, 11, 1, -4, -8, 10, -6, -3],\n [-7, 0, -4, 1, -10, 2, 4, -5, 0, -1],\n [2, 6,... | -242367031832 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the value at position (10, 2) of the result:\nA =\n[[1, -4, -5, -4, -10, -8, 12, -2, 3, 2],\n [-4, 10, -5, 14, -8, 2, -8, -5, -13, -10],\n [-5, -5, -9, -2, 12, -6, 8, -8, 5, -6],\n [-4, 14, -2, 5, 4, 1, 11, -10, 5, -5],\n [-10, -8, 12, 4, -11, 0, -2, -6, 10,... | -8208152867 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the value at position (6, 3) of the result:\nA =\n[[-12, -5, -6, 2, 0, -12, 12, 6, -12, -11],\n [-11, 2, -9, -4, -3, 8, 13, -8, -2, -9],\n [8, -12, 6, -1, -1, 8, -5, -10, 11, -13],\n [-9, 8, -4, 3, 11, 9, 6, -4, 9, 0],\n [-12, -13, -8, -10, 6, -2, -7, 14, -6... | 237738875580 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[-11, -12, 7, 2, -9, 10, -10, -10, 1, 12],\n [-12, -7, 4, 0, 1, 8, 10, -8, 2, 10],\n [7, 4, -10, 5, 0, 7, 2, -2, -7, -7],\n [2, 0, 5, 7, 4, -7, 8, -8, 4, -6],\n [-9, 1, 0, 4, 2, -2, 8, -5, -8, -... | 1665016482450 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[-3, -1, -13, 11, -8, 1, -6, -14, -3, -13],\n [12, 7, 3, -1, -3, 3, -10, -8, -11, -2],\n [1, 7, 13, 1, 4, -11, 5, 5, 13, -14],\n [-2, 5, 5, 7, -6, -5, -9, 7, -8, 8],\n [1, 2, 9, -14, -6, -1, 0, -11, 10, -7],\n [10, 0,... | 6188775911 | MATH |
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