messages listlengths 1 1 | ground_truth stringlengths 6 14 | dataset stringclasses 1 value |
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[
{
"content": "Find the value at position (5, 4) of the 6th power of the matrix:\n[[-8, 5, 14, 0, -4, -7, 14, 6, -8, 11],\n [4, 8, -4, -4, 9, 6, -11, -7, 9, -12],\n [7, 6, -13, 9, -3, -9, -13, 13, 6, -14],\n [-3, 11, 7, 14, -3, 10, 2, 12, 12, -5],\n [13, 13, 1, 0, 0, 4, -3, 8, 5, 10],\n [-12, -10, 4, -8, 6, -6, ... | -118234332 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[-7, -1, 8, 13, 10, -7, 6, 1, -2, 3],\n [0, 6, 9, 11, 10, 13, 13, 13, -2, -6],\n [14, 0, -2, -14, 10, -8, -6, 9, -14, -3],\n [-7, 9, -4, 4, 2, -7, -12, -12, -14, 12],\n [-10, -5, -8, 11, -6, 13, -8, -6, -7, -3],\n... | 2935112168052 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[4, 10, 0, -11, -2, -2, 6, -4, 2, 7],\n [10, -3, -8, -1, 4, 2, -2, 10, 6, -4],\n [0, -8, 10, 12, 8, -4, -8, -4, -10, -11],\n [-11, -1, 12, -6, 0, -13, 8, 3, 3, 2],\n [-2, 4, 8, 0, -6, 4, 4, -4, 0, 9],\n [-2, 2, -4... | 1972263741 | MATH |
[
{
"content": "Find the value at position (10, 1) of the 6th power of the matrix:\n[[5, 13, 12, -11, 4, 11, -12, 4, 5, -8],\n [5, -6, -14, -7, -8, 3, -7, -14, -4, 13],\n [10, 10, 3, 8, -5, -12, -8, 13, 1, 11],\n [1, 10, 5, 13, 2, -13, -14, 1, -3, -10],\n [-10, 12, 8, -6, -6, -12, 4, 1, 1, -12],\n [5, 9, 7, 9, -1... | -84822368 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[-1, -2, -10, -7, 8, 1, 0, 4, 11, -14],\n [-2, -14, 0, 6, -14, -2, 0, 10, 5, -2],\n [-10, 0, 2, -2, 1, 12, 13, 0, 2, -5],\n [-7, 6, -2, -10, 12, 1, -2, -4, 10, -6],\n [8, -14, 1, 12, 6, 0, -14, 1, 7, 4],\n [1, -2, 12... | 23515200578 | MATH |
[
{
"content": "What is the value at position (7, 6) of the matrix A^6 where A is:\n[[-13, -13, 8, 7, 4, 10, 11, 14, 7, 11],\n [11, 7, 2, 5, -5, -9, 0, 7, -4, 13],\n [-10, -14, -7, 6, 13, -3, -3, -10, -8, -11],\n [-9, -2, 5, 0, -12, 8, -7, 5, 1, -2],\n [3, 13, -5, 4, 2, 9, 4, 13, 11, 8],\n [11, -10, 11, 6, 8, -6,... | 112695581 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[6, -8, -11, -14, -10, 8, 11, -5, 7, -10],\n [-11, -13, 5, -5, 11, 4, 11, -14, 9, -10],\n [-2, -11, 1, 9, 1, 8, -13, 2, 13, 12],\n [5, 9, -3, 3, -12, 13, -14, -14, 14, 4],\n [-4, -10, -3, -12, -... | 21942412056 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-3, 2, 8, -2, 8, 10, -12, -6, 2, 2],\n [5, 1, 10, 7, -2, 12, 4, 2, -11, -3],\n [14, -6, 4, -3, -6, -8, 13, -1, 5, 4],\n [11, 0, 1, 6, -10, -12, -3, 10, 5, 12],\n [6, -11, 6, 8, 1, 10, -8, -2, 6, -5],\n [11, -8, -1, 11, -10, -12, 8, 14... | 5889326646 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[14, -2, 0, -11, 9, 0, 9, -2, 2, 0],\n [-2, -2, -6, 2, 6, 8, 10, -8, 4, 0],\n [0, -6, -12, 2, 10, 6, 0, 0, 10, 6],\n [-11, 2, 2, -9, 8, -2, 0, 4, 14, -3],\n [9, 6, 10, 8, -4, 4, -1, 1, -4, -5],\... | 14510701308313 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[14, 4, -8, -2, 10, -2, 1, -2, -11, 1],\n [4, -13, 1, 10, 2, 10, -4, -12, 10, 5],\n [-8, 1, -14, 8, 4, -4, -2, 10, 7, 5],\n [-2, 10, 8, 2, -6, -4, -14, -6, -8, -3],\n [10, 2, 4, -6, 13, -4, -3, -9, -12, -6],\n [-2, 10, -4, -4, -4, -5, -4, 8, 4, -2],\n [1, -4, -... | 2886541763628 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[4, -8, -9, 13, -13, -9, 3, -13, 3, 0],\n [12, 4, -13, 5, 10, -9, -14, 9, 0, 13],\n [8, -5, 4, 2, -10, 14, -11, -5, 9, 2],\n [-5, 2, 13, 5, 9, -10, -13, -9, 6, -13],\n [-2, -4, -4, 1, -4, 4, 0, 10, 8, 8],\n [1, -4, 7... | 2613533578034 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[14, 2, 11, -11, -14, -7, 2, -12, 14, 5],\n [0, 0, 9, 7, -1, 11, 13, 8, -1, 9],\n [-13, -2, 11, -1, 12, 9, 4, -8, -12, 0],\n [8, -1, -4, 0, 13, -2, 3, 11, -9, -12],\n [4, 0, 10, 8, -10, 13, -5, -8, 10, 2],\n [-8, ... | 1093509935726 | MATH |
[
{
"content": "Find the sum of all entries of the 7th power of the matrix:\n[[9, 8, -6, 8, -12, 4, -7, -10, -11, 9],\n [-9, -13, 5, 13, -4, -11, 0, -9, 7, 2],\n [9, -9, 4, 10, -13, 0, -4, -7, 11, 4],\n [-2, -3, -10, -9, 11, 7, -11, 4, 5, -14],\n [5, 2, -3, 0, -14, 11, -1, -9, -10, -4],\n [-11, -2, -4, -12, -14, ... | 17556681461 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-6, -10, -1, 13, -12, 6, -10, -10, 4, 12],\n [-1, 11, -11, 10, -2, -5, 10, 3, -7, -7],\n [-8, -7, -1, 4, 14, -9, -14, 8, 0, -14],\n [10, 2, -14, 0, 8, -13, -1, 6, -7, -7],\n [4, -8, 4, -9, -9, -12, -8, 4, -7, -5],\n [5, 0, 0, 14, -14, 5, -8, 12, -11, 14],\n [-... | 491219717218 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[11, -6, 8, -4, 0, -9, -10, -6, 1, -6],\n [-6, 8, 5, 0, 3, -2, 2, 3, -3, 2],\n [8, 5, -14, -5, -2, 2, 2, 1, -6, -7],\n [-4, 0, -5, 9, 2, 0, 0, 6, 0, 12],\n [0, 3, -2, 2, -1, 2, -6, 6, -6, 6],\n [-9, -2, 2, 0, 2, -1, ... | 19489940197 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[-9, 6, 9, -14, 2, 14, -4, 7, 11, 13],\n [3, 6, 2, -8, 2, 5, -6, 2, 5, 7],\n [7, 13, 14, -7, 2, -8, -14, -2, 8, 4],\n [12, 9, 4, 14, 2, -2, 14, 1, -7, 4],\n [3, -14, -1, 4, 0, 3, -13, 7, 13, 2],... | 7712373583337 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[1, -11, 5, -10, 7, 6, -1, 8, 1, 3],\n [-8, -5, -8, -14, 8, 6, 4, 1, 14, 4],\n [-11, 14, 13, 3, -13, -14, 0, -10, 5, -4],\n [-5, -13, -12, 8, 8, -3, 5, -10, -10, -9],\n [-6, -13, 6, -3, -12, 5, 11, 7, -3, 9],\n [2, -5, 9, 12, -1, 8, 2, 3, 4, 2],\n [-1, -6, -7, ... | 14628955132 | MATH |
[
{
"content": "What is the value at position (9, 4) of the matrix A^7 where A is:\n[[12, 1, 2, 9, 0, -1, -2, 0, -1, -2],\n [1, -5, 2, -1, -1, -2, 4, -2, 1, -8],\n [2, 2, -4, -10, 6, 3, -12, 7, 0, 13],\n [9, -1, -10, -4, -6, 4, 3, 3, -5, 0],\n [0, -1, 6, -6, 9, 6, 9, -7, 3, -6],\n [-1, -2, 3, 4, 6, -12, -4, -6, 3... | -2994673422 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[2, 0, -3, 1, 9, 4, -7, 6, 2, 8],\n [-10, 7, 1, -9, -7, 10, 3, 10, -3, 0],\n [12, 11, -6, -2, 11, 0, -5, 1, -8, 2],\n [8, 11, 6, 7, 11, -8, -1, 0, 6, -8],\n [-6, 4, 1, -7, 3, 12, 8, 14, 3, 5],\n [-8, -12, 3, 12, -5, -8, 2, -1, 9, -12],... | 90821443 | MATH |
[
{
"content": "Find the sum of all entries of the 7th power of the matrix:\n[[-1, 1, 1, -6, 6, 8, 4, 3, -4, 6],\n [1, 0, 4, 0, 11, -4, -1, -12, -12, 8],\n [1, 4, -1, 4, 7, -1, 4, 0, 8, 6],\n [-6, 0, 4, 0, -8, -2, 8, 10, 4, -8],\n [6, 11, 7, -8, 14, -6, 2, 4, 0, -10],\n [8, -4, -1, -2, -6, -13, 8, -3, 4, -4],\n [... | -4977669755 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[-12, -10, -7, 2, 8, -1, 2, -2, -6, -2],\n [-10, -13, 3, 3, 10, -5, 0, 3, 12, -4],\n [-7, 3, -13, -8, -1, -2, -4, 3, 8, 0],\n [2, 3, -8, 9, 2, -4, 2, -10, 4, 0],\n [8, 10, -1, 2, -10, 6, 0, 5, 1, -3],\n [-1, -5, -2, -4, 6, 14, 1, 12, 0, 8],\n [2, 0, -4, 2, 0, 1... | 14354510 | MATH |
[
{
"content": "Find the sum of all entries of the 7th power of the matrix:\n[[-8, 3, -11, -13, -1, -2, 14, -3, -8, -13],\n [-2, -1, 12, 2, -6, 2, -7, -13, 13, 9],\n [-2, -12, 1, -9, 4, -8, -5, -6, -13, 13],\n [13, 0, -10, 14, 7, -11, 5, -11, 3, -11],\n [12, 2, -3, 7, 2, -5, 7, -14, 7, 11],\n [9, 12, 3, 3, -1, 0,... | 9027285838 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[2, 1, 0, 6, 10, 2, 0, 7, -4, 11],\n [1, -9, 2, 4, -8, -3, 2, -4, 2, 0],\n [0, 2, -13, 8, -6, 6, 6, 8, 2, 8],\n [6, 4, 8, 12, 2, 13, -2, 8, 2, 2],\n [10, -8, -6, 2, -1, 7, 5, -1, -4, 4],\n [2, -3, 6, 13, 7, -12, -3, -7, 0, 2],\n [0, 2, 6, -2, 5, -3, -6, 0, 0, 3... | 38659949780 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[-6, 4, -4, 1, 0, -4, 6, -2, 2, 6],\n [4, -14, -4, 2, -2, 4, -11, -10, -8, -10],\n [-4, -4, -14, -2, 0, 7, 2, 2, -2, 2],\n [1, 2, -2, 11, 8, -2, -4, -5, 3, 2],\n [0, -2, 0, 8, -12, 2, -4, -4, -2, 0],\n [-4, 4, 7, -2, 2, -7, -4, 4, 8, 4],\n [6, -11, 2, -4, -4, -... | 2278658689 | MATH |
[
{
"content": "Find the sum of all entries of the 6th power of the matrix:\n[[3, 4, 7, -10, 9, -6, 12, -12, 13, -5],\n [4, -12, 14, 14, 7, 0, -14, -8, -3, 2],\n [6, 11, 14, 9, 5, -10, -11, 13, -3, 5],\n [13, 9, 3, 2, 4, -6, -11, 11, 6, -13],\n [-11, -13, 0, -13, -11, -9, -8, -5, 4, 4],\n [11, 7, 14, -3, -12, -2,... | 1081533747 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[-7, -3, 9, -11, -2, 8, 0, -4, -5, -12],\n [7, -1, 1, -5, 14, -5, -3, -6, -14, -10],\n [5, -7, -4, -3, -14, 10, 7, 5, 13, 10],\n [-4, -10, 0, -10, -3, -10, 2, 2, 9, -3],\n [9, 13, 0, 0, -9, -3, ... | 2776054115333 | MATH |
[
{
"content": "What is the value at position (8, 9) of the matrix A^7 where A is:\n[[3, 3, -6, 4, -6, 8, -9, -1, 0, 8],\n [3, -13, -2, -2, 10, 4, -2, 0, -6, -6],\n [-6, -2, -7, -7, 3, -2, -7, 5, -5, 6],\n [4, -2, -7, -14, -4, 4, -5, 1, 6, -4],\n [-6, 10, 3, -4, 3, -6, -1, -14, -7, -1],\n [8, 4, -2, 4, -6, -6, -6... | 3181437702 | MATH |
[
{
"content": "What is the value at position (2, 9) of the matrix A^8 where A is:\n[[-7, -1, -1, -5, -13, -1, -6, -12, 6, 11],\n [-7, 1, -13, -9, 13, 6, 14, 11, 10, -3],\n [-10, -13, 1, -10, 0, -3, -11, 0, -4, 1],\n [8, -9, -1, 3, -3, 12, -4, -2, 6, 8],\n [-4, 8, 1, 0, 6, 13, 0, 10, -11, -4],\n [4, 0, -11, 6, -2... | 215081448401 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[-14, 2, 10, -6, -1, -6, 6, 4, 11, -2],\n [2, 6, 8, 1, -1, 4, -9, 5, -6, 10],\n [10, 8, 14, -1, -9, -2, 7, -6, 2, 2],\n [-6, 1, -1, 9, 0, -12, 2, -10, -2, 2],\n [-1, -1, -9, 0, -14, 8, 0, -9, -2, -3],\n [-6, 4, -2, -12, 8, 6, -2, 6, -4, -6],\n [6, -9, 7, 2, 0, ... | 8350660901 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-14, -11, -12, -6, -7, -14, 12, -9, -6, -8],\n [-11, -2, 2, 13, -13, 13, -10, -3, 12, 6],\n [-7, -9, -7, 3, -12, 7, -3, 14, 11, -12],\n [7, -9, -13, 8, -3, -13, -9, 2, -12, -13],\n [8, 5, -7, 7, -3, 11, -11, -10, -2, 14],\n [0, 10, 8,... | -59576207066 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^8 where A is:\n[[-13, -6, 6, -13, 12, 10, -6, -14, -4, -12],\n [5, 8, 11, -11, 3, 8, -9, -12, 7, -4],\n [0, 7, 13, -10, 5, -5, -3, 0, 2, -5],\n [-9, 3, -2, -12, 9, -5, -1, -9, -12, 1],\n [-8, 5, -1, -6, 0, 6, -12, -13, 12, -13],\n [-12, 3, -1, 5, 3, -... | -96964804702 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[13, 8, 4, 4, -10, 4, -13, -5, 10, -13],\n [-4, 3, 14, 9, 0, -6, 8, 4, -6, -12],\n [6, -6, 13, -1, 4, -8, 1, 1, 13, -14],\n [-11, -11, -8, -7, 2, -10, -8, 13, 5, 14],\n [5, -11, 13, -9, -8, 3, -10, 5, 14, -12],\n [-8,... | 11786707914 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[13, 3, -7, -12, -6, 14, 5, 14, -9, -5],\n [6, -5, -2, 2, -6, 2, 9, -6, -6, -14],\n [-13, 13, 1, 14, -14, -5, 3, 11, 13, -7],\n [6, 13, -4, 8, -13, -7, 12, 7, -7, 2],\n [0, 2, 13, 8, 9, -2, 4, -10, -3, -14],\n [8, -10, -7, -2, -7, 10, 8, -4, -14, -2],\n [4, 9, ... | 2100483721228 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[2, -11, -11, -1, -6, -6, 10, 11, 8, 3],\n [-5, 6, -11, -3, 12, -7, -13, 7, -2, 6],\n [1, 13, -13, -4, -5, 0, 2, -7, 3, 8],\n [-6, 10, -7, 12, -1, 13, 11, 10, 3, 7],\n [5, 5, 6, -3, 4, -1, 2, 9, 6, -12],\n [11, 8, -8... | 3220639705 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[8, 14, -8, -3, 0, 10, -10, 0, -7, -5],\n [11, 1, -7, -14, -3, -10, -12, -14, -11, -7],\n [-12, -5, -13, -4, 10, -5, 6, -1, -8, 12],\n [12, -13, -6, 1, -2, -6, 5, -11, 7, -5],\n [11, 11, 7, -3, 2, -1, -1, 10, -13,... | -1677201460 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[9, 9, -13, 3, 4, 13, 13, 4, 2, -1],\n [4, 7, 9, -2, -3, 11, -9, 6, -11, 4],\n [1, -2, -11, 8, 2, 8, -14, 3, 5, 2],\n [12, 13, 12, 0, -4, 10, 13, 7, -2, -14],\n [2, -9, -11, 5, 1, 0, 12, 0, -9, ... | 4823940140002 | MATH |
[
{
"content": "Find the value at position (8, 9) of the 6th power of the matrix:\n[[-11, -9, -6, 7, -1, 13, -3, 13, 10, 5],\n [9, 10, -11, 6, 9, -3, -5, 7, 13, -8],\n [-12, 8, 13, -1, 9, -5, 1, 1, 7, -5],\n [10, -2, -9, -3, -6, -2, -11, 9, -4, 5],\n [3, 11, -4, 10, 6, -11, 3, -14, 12, -8],\n [-9, 0, 3, 9, -4, 5,... | -18133400 | MATH |
[
{
"content": "Find the value at position (7, 4) of the 8th power of the matrix:\n[[-13, 2, 6, 2, -1, -4, 10, -5, 5, -8],\n [2, -1, 0, -8, -6, 2, 0, -8, -2, 1],\n [6, 0, -13, 2, -10, -3, -3, 0, 13, -8],\n [2, -8, 2, 0, 0, -2, 12, -1, -1, -2],\n [-1, -6, -10, 0, 5, 6, 1, -3, 0, 10],\n [-4, 2, -3, -2, 6, 7, 8, 9, ... | -25057059563 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-7, 10, 3, -5, -3, 4, -6, -10, 8, 2],\n [10, 5, -3, 5, -8, -5, 6, 1, -2, -12],\n [3, -3, -4, -3, -6, -14, 0, 0, 9, 0],\n [-5, 5, -3, -4, -6, -11, -12, 6, 2, -4],\n [-3, -8, -6, -6, 8, 7, -12, -4, -2, 2],\n [4, -5, -14, -11, 7, -9, 10, 8, 4, 12],\n [-6, 6, 0, -... | 16639752564 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[9, 11, -14, 6, -12, 5, -13, -6, 4, 0],\n [3, 11, -4, 10, 8, 1, 7, 2, -10, -3],\n [-4, 0, 12, -12, -14, 5, 14, 1, -13, -13],\n [-12, -7, 9, 13, 0, -8, -9, -6, 5, 13],\n [-14, -7, 8, 8, -12, -11, 11, 10, 0, -9],\n ... | 370000592 | MATH |
[
{
"content": "Find the value at position (9, 4) of the 6th power of the matrix:\n[[10, 1, 0, -1, 0, 4, 0, -8, 0, 1],\n [1, -8, 2, -10, 6, 6, -2, -1, 8, 6],\n [0, 2, -1, 9, -8, 6, 5, -7, -10, 0],\n [-1, -10, 9, 5, 0, -4, -2, -4, -2, -4],\n [0, 6, -8, 0, 12, -1, 8, 0, -14, -3],\n [4, 6, 6, -4, -1, 8, 4, 14, -2, 0... | -107293259 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the value at position (1, 4) of the result:\nA =\n[[14, 7, -7, 6, 4, -9, 5, 10, 14, 4],\n [-11, 8, -8, 13, 13, -11, 7, -3, -2, -12],\n [7, -3, -13, 9, -13, 12, 8, -6, -14, -7],\n [8, -9, -9, 7, 10, 3, 2, 14, -3, -9],\n [11, 12, -7, 4, 13, -5, -14, 10, 14, -2... | 447307751 | MATH |
[
{
"content": "Find the sum of all entries of the 7th power of the matrix:\n[[-1, -2, -14, -7, -3, 4, -3, -7, -7, 14],\n [6, -2, -3, 14, 1, -14, -2, 11, -8, 13],\n [11, -10, -7, 10, 12, -1, 8, -2, 0, 8],\n [2, 0, 5, 3, 3, -13, -11, -14, -11, 3],\n [-10, 4, 0, 13, -7, 5, 2, -14, -3, 11],\n [4, 0, -6, -8, -13, 14,... | 377808268 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[-9, 4, 2, 7, -6, -1, -4, -13, -3, 6],\n [4, 6, -4, 0, 1, 5, -11, -12, -7, 8],\n [2, -4, -6, 10, -8, 0, -4, 6, 0, 0],\n [7, 0, 10, -14, 9, 2, -10, 4, 12, 1],\n [-6, 1, -8, 9, -14, -13, -6, 4, 8, 14],\n [-1, 5, 0, 2, -... | 81568819361232 | MATH |
[
{
"content": "Find the value at position (10, 8) of the 8th power of the matrix:\n[[14, -10, -5, 13, -10, -12, 8, -9, -11, 3],\n [13, -6, 2, 14, -2, 12, 0, 5, 2, -2],\n [1, 7, -11, -10, -10, -6, 2, -2, -13, -2],\n [7, 6, 12, 8, 4, -12, -5, -13, -2, 4],\n [11, 2, 6, -1, -3, 6, -3, -4, -8, -11],\n [4, -14, 13, 9,... | -31760794791 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[9, 8, -5, 0, 0, 0, -4, -5, -4, -2],\n [8, 1, -8, 0, -2, -4, 4, 9, -1, -8],\n [-5, -8, 9, 7, -1, -1, 5, 2, 7, -2],\n [0, 0, 7, -1, 0, -2, 10, 0, 0, -6],\n [0, -2, -1, 0, 1, -1, -3, 6, -7, -6],\n [0, -4, -1, -2, -1... | 6574891164 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[-10, -2, -7, -7, -10, 13, -6, -14, -11, -12],\n [-13, -7, 8, -6, -13, -1, -1, -11, -9, -4],\n [-12, -7, -12, -1, 13, -2, -2, -13, -2, 14],\n [4, 12, -9, 1, -13, -7, 2, 8, -13, -5],\n [13, 1, -9, 13, -13, -13, 11, -2... | 13899510146671 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[8, -6, 3, -6, 1, 2, -2, 2, 2, -8],\n [-6, -6, 2, 0, 6, 6, 6, 10, 8, 0],\n [3, 2, -9, 6, -2, 0, 8, 0, -8, -7],\n [-6, 0, 6, 14, 5, -2, -2, -4, -2, 3],\n [1, 6, -2, 5, -11, -1, 8, -2, 7, -6],\n [... | 131905203637 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[-12, 0, 1, 3, -1, -12, -3, -6, 13, -8],\n [-6, -2, 3, -10, -2, -11, -13, 1, -6, -6],\n [-9, -4, 7, 9, 7, -14, -11, -2, 8, -2],\n [-2, -13, -6, 9, -7, -8, -11, 3, -12, 13],\n [-9, -3, -3, 6, 13, -7, 7, 7, -14, -11],\... | 7570487066 | MATH |
[
{
"content": "Find the sum of all entries of the 6th power of the matrix:\n[[2, -7, 13, 11, -3, 12, 7, 6, -5, 12],\n [0, -6, -13, -10, -9, -8, 6, 10, -14, 8],\n [11, -8, 5, 10, -3, 1, 1, -4, 6, -11],\n [-2, -8, -11, 0, 4, -6, -4, -7, -14, 8],\n [10, 9, -7, -2, 7, 12, -11, -7, -12, 14],\n [-6, 14, -13, -13, 13, ... | 391874806 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[0, 4, -1, 4, -2, 7, 0, -5, -8, -2],\n [4, 11, -6, -4, -10, 0, -4, 2, -8, 8],\n [-1, -6, 3, -9, 13, -8, 6, 8, 4, 4],\n [4, -4, -9, -9, 0, 3, 0, 0, 2, -8],\n [-2, -10, 13, 0, -3, -3, 2, 2, 0, -6],\n [7, 0, -8, 3, -3, 1... | 11934304707 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[-11, 4, 0, -6, -5, 3, 0, 5, 10, -2],\n [4, 14, 1, -1, -4, -12, -8, 2, 0, 2],\n [0, 1, -4, 9, 2, 2, 8, -1, -8, 10],\n [-6, -1, 9, 7, -10, 13, 1, 10, -4, -8],\n [-5, -4, 2, -10, -6, 0, 10, 10, 8, -6],\n [3, -12, 2,... | -9727645990 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[14, -4, -10, -3, 4, 2, 0, -2, -6, 8],\n [-4, 4, 2, 14, 1, 4, -2, -5, 0, -10],\n [-10, 2, -1, -9, 10, 4, -4, -5, 6, 4],\n [-3, 14, -9, -6, -5, -2, -6, -1, -3, 10],\n [4, 1, 10, -5, 11, 7, -1, -8, -10, -6],\n [2, 4... | 622259358955 | MATH |
[
{
"content": "Find the sum of all entries of the 6th power of the matrix:\n[[-11, 0, -6, -10, -2, 8, 11, 3, -10, 10],\n [1, 12, 4, -1, 10, 1, 12, 0, 7, -11],\n [-8, 1, 9, 7, 6, 7, 6, -7, 2, 1],\n [12, 8, -5, -5, 12, -13, -6, 2, -4, -5],\n [7, 10, 2, -11, 1, 5, 0, 10, 12, 6],\n [-10, -9, 2, -14, 10, 4, -11, 2, -... | 148306288 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[3, 0, 7, -6, 0, -1, 0, -2, 10, -10],\n [0, -13, 0, 0, 0, 0, 8, 10, 8, -2],\n [7, 0, 2, -4, 4, 0, -5, -7, 6, 4],\n [-6, 0, -4, 1, -12, -2, 0, -4, 1, -7],\n [0, 0, 4, -12, -3, 4, -4, 10, 7, 8],\n [-1, 0, 0, -2, 4, 9, 4... | 851718413565 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[-2, 10, 9, -9, 6, 2, -5, 4, -1, 10],\n [10, 9, 10, 8, -2, -3, 0, -10, -2, -9],\n [9, 10, -5, 6, -9, -1, 12, -2, 7, -10],\n [-9, 8, 6, 5, -10, 6, 3, -6, -6, -2],\n [6, -2, -9, -10, 10, -8, 4, -3, 4, 10],\n [2, -3, -1, 6, -8, 8, -2, 0, 13, 5],\n [-5, 0, 12, 3, 4... | 855154478 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[7, 4, 1, 6, 12, 9, 7, -11, -13, 10],\n [-2, 13, -14, 2, -2, -11, -8, 2, -6, -11],\n [4, -14, -5, -11, -6, -2, -1, -5, -9, 1],\n [-9, 2, -5, 3, 12, 7, 3, -12, 5, 12],\n [6, 10, 13, 0, 0, -11, 14, 12, -6, 12],\n [11, 4, 9, 13, 2, -4, 10, -6, -5, 3],\n [5, -2, -7... | 265504651974 | MATH |
[
{
"content": "Find the value at position (9, 8) of the 7th power of the matrix:\n[[-9, -6, -3, 10, 4, -2, -4, -2, -4, -8],\n [-6, -6, 10, -6, -7, 0, -11, 4, 0, 5],\n [-3, 10, -10, 3, 2, 8, 10, 4, -8, 14],\n [10, -6, 3, 13, 2, 2, -10, 2, 2, 12],\n [4, -7, 2, 2, 3, 0, 3, -7, 8, 10],\n [-2, 0, 8, 2, 0, -4, -1, 6, ... | -4085454329 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[11, 5, 9, 10, -2, 8, -1, 8, -10, -11],\n [-1, -5, 2, -5, 11, -8, 1, -14, 2, 6],\n [14, -6, -9, 4, -2, -12, -8, 7, -6, 7],\n [-10, -5, 8, 2, -3, 8, 1, -12, 10, 7],\n [-6, 14, 0, -10, 8, -2, -1, 5, 0, 1],\n [8, -2,... | 8227602316 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[-7, 0, -5, -14, 14, 3, -13, 4, -2, 7],\n [-14, -13, 14, 1, 0, -2, 1, 2, 6, 14],\n [14, -8, 9, 11, 2, -8, -2, -10, 11, 2],\n [-12, -8, 11, 2, -8, 6, -14, 2, 2, -4],\n [10, 12, 14, -12, 0, 14, 6,... | 2121198927132 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[-2, 3, -13, -2, -2, 7, 0, 5, 14, 12],\n [-5, 14, -12, 4, -12, 7, -1, -7, 12, 8],\n [-11, 12, 13, 5, -4, 11, -4, 12, -4, -13],\n [2, -6, 13, 13, -13, 14, 9, 0, 1, 10],\n [-11, -7, -6, 11, 11, -10, 1, -2, -8, 11],\n [5... | 7805934743942 | MATH |
[
{
"content": "Find the sum of all entries of the 8th power of the matrix:\n[[-13, 3, -3, 4, 11, 8, 3, 2, -9, 10],\n [0, -12, -9, -12, 14, -14, -2, 13, 6, 11],\n [-1, -2, 12, -11, -8, 7, -5, -8, 6, 0],\n [0, -11, 8, 8, -9, 9, 5, 11, -10, 5],\n [-3, -14, 13, -7, -14, -10, 7, -9, 14, 6],\n [-12, 0, -10, 13, 9, -1,... | 1145553330324 | MATH |
[
{
"content": "Find the sum of all entries of the 8th power of the matrix:\n[[6, 4, 7, -4, 13, 1, 6, -12, 7, -9],\n [-1, 9, 3, 2, -11, 8, 0, -4, 11, -12],\n [-12, 1, -10, 6, 14, -5, 4, 10, -11, 14],\n [14, 4, -4, -13, -5, 14, -4, 10, 5, 1],\n [4, 8, 9, -4, -1, -13, 8, 13, -10, 12],\n [-10, 4, 6, -3, 3, -11, 7, 2... | -336749350323 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the value at position (4, 10) of the result:\nA =\n[[-1, 0, 2, -2, 2, -1, 6, 9, -4, -6],\n [0, -7, -3, 1, -2, -6, 9, 4, 12, 5],\n [2, -3, -10, -2, -2, -2, -10, 6, 8, 0],\n [-2, 1, -2, -4, 8, 3, -6, 14, -4, 7],\n [2, -2, -2, 8, 1, 6, -1, -8, -2, -6],\n [-1, -... | -52811412 | MATH |
[
{
"content": "What is the value at position (10, 10) of the matrix A^7 where A is:\n[[5, -12, -10, 10, -7, -7, -7, -3, 9, 8],\n [-7, -4, -1, -7, 14, 9, 13, -5, -8, 13],\n [2, -11, 14, -2, -11, -10, 11, 7, -11, 3],\n [-9, 9, 9, 8, 7, -13, 8, -4, 13, -1],\n [-10, -9, -5, -7, -1, 9, -12, -3, 1, 13],\n [8, 2, -14, ... | -2622973567 | MATH |
[
{
"content": "What is the value at position (6, 4) of the matrix A^6 where A is:\n[[8, -9, 1, 9, 0, 2, 4, 2, 2, -2],\n [-9, -9, -2, -7, 2, 5, 8, 2, 8, 0],\n [1, -2, -7, 12, 3, 7, -8, -6, 10, 12],\n [9, -7, 12, -12, -4, 10, -3, 2, 0, 7],\n [0, 2, 3, -4, 10, 2, -6, -2, -1, 0],\n [2, 5, 7, 10, 2, -10, 2, 0, 3, 2],... | -74203853 | MATH |
[
{
"content": "What is the value at position (5, 8) of the matrix A^6 where A is:\n[[10, 8, 2, 8, -12, 8, 4, -2, 0, 1],\n [8, 14, -4, 4, -3, 3, 1, 7, -3, -2],\n [2, -4, 4, -4, -6, -6, -2, 2, -4, 0],\n [8, 4, -4, 10, 3, -6, 2, -4, -6, 0],\n [-12, -3, -6, 3, -6, 6, 0, -4, -7, -4],\n [8, 3, -6, -6, 6, -3, -14, 0, -... | 4912248 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[9, -9, 13, -13, -9, 8, -10, 4, 5, -11],\n [7, 11, 2, -4, -11, 11, -2, 5, 11, 2],\n [-6, -11, 8, 13, -1, 4, 11, 13, -12, -1],\n [-7, 9, 12, 13, -14, -5, 3, 1, -7, -14],\n [-3, -7, 9, 1, 3, -11, ... | 14393454702 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^8 where A is:\n[[10, -13, -12, 11, 6, 10, 5, 2, 5, 7],\n [6, 14, -14, 5, -9, 14, 0, 11, 11, -1],\n [5, 0, -1, 10, 6, 9, 10, 11, -10, -9],\n [2, -4, 1, -3, 0, 8, -11, 12, 3, 6],\n [13, -12, 7, -7, 8, -12, -7, 3, -5, 10],\n [5, 2, -7, 8, -4, 14, -10, 11... | -136752934743 | MATH |
[
{
"content": "Find the sum of all entries of the 7th power of the matrix:\n[[-3, -14, 8, 7, -7, -10, 0, -14, -14, 10],\n [-5, 7, -5, 6, 0, 2, 7, -9, -12, -2],\n [1, -7, 0, 2, 2, 7, 11, -2, 2, -9],\n [2, 1, -1, -2, -9, -12, -1, -1, 0, -7],\n [14, 0, 7, 14, 12, -2, 2, 6, 9, -12],\n [13, -9, -10, 7, 11, 2, 8, 10, ... | -4230732284 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[3, -7, 0, -8, -4, -2, 10, 1, 0, -2],\n [-7, 0, 1, -8, 13, 8, 12, 0, 0, 1],\n [0, 1, -2, -8, -1, 0, 4, 1, -6, -7],\n [-8, -8, -8, -13, -3, 2, 4, 4, 0, 0],\n [-4, 13, -1, -3, -12, -9, -6, -2, 0, 0],\n [-2, 8, 0, 2, -9, -4, -6, -1, -7, -9],\n [10, 12, 4, 4, -6, -... | -81812077230 | MATH |
[
{
"content": "What is the value at position (9, 1) of the matrix A^8 where A is:\n[[7, -1, 2, -8, -2, 4, -2, -5, -4, 2],\n [-1, 8, 2, -8, 7, -5, 0, -1, -5, 8],\n [2, 2, 14, 4, -1, -2, 1, 6, 5, 0],\n [-8, -8, 4, 1, -3, 3, 2, -6, -2, 10],\n [-2, 7, -1, -3, 10, 2, -8, 6, 1, 0],\n [4, -5, -2, 3, 2, 6, 5, 5, -6, 10]... | -3510970609 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 8, -1, -7, 13, -3, -2, -4, 2, 14],\n [2, 9, -11, 6, -7, -10, 11, 1, -11, 13],\n [7, 14, 0, -3, -10, 8, 1, -1, -5, -8],\n [-2, 5, 13, 14, -10, 14, -12, 0, -11, 0],\n [-1, 5, 4, -2, -5, 6, -10... | 9267547293 | MATH |
[
{
"content": "What is the value at position (3, 5) of the matrix A^8 where A is:\n[[-3, -13, -2, -5, -6, -5, -8, -11, 4, -5],\n [-12, 10, 6, 14, 4, 6, -13, 12, 5, -5],\n [-13, -13, 13, 9, 2, 1, 1, -1, -8, 6],\n [-4, 9, -14, -4, 8, 6, -11, -8, 11, 0],\n [3, -3, 2, -14, -4, 13, -14, 0, 13, 6],\n [-5, -8, -13, -5,... | 37294101831 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[5, 3, -4, 12, -6, 1, -13, 11, 10, -13],\n [-3, -7, -6, -3, 11, -6, -5, 10, -13, 1],\n [5, -8, 13, -13, -14, 4, 13, -11, 9, 7],\n [12, -13, 10, -1, -13, 14, 0, -3, -10, 13],\n [5, 14, -8, 9, 6, -5, -1, -1, -10, 3],\n ... | 3630708253423 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[2, 1, 10, -5, 4, -6, -6, 2, 1, 4],\n [1, -7, 8, -4, 5, 2, -13, -2, 0, 4],\n [10, 8, -1, 10, 0, 1, -8, 2, 1, -4],\n [-5, -4, 10, -9, 9, 2, -1, 6, -6, 2],\n [4, 5, 0, 9, -14, 10, 2, 4, 0, 2],\n [-6, 2, 1, 2, 10, 7, 6,... | 11294639973875 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the value at position (7, 5) of the result:\nA =\n[[10, 7, 13, 5, 0, 6, -2, 7, -4, 4],\n [-7, 5, -7, -5, 11, 1, 4, 11, 8, -4],\n [-2, 13, -6, 5, 9, 4, 1, -8, 4, -3],\n [0, 8, -1, -4, 11, -5, 12, -4, -9, -13],\n [-4, 4, -9, -1, 5, -9, 2, -5, 13, -14],\n [-12,... | 69844282 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[13, -4, 0, 10, 11, 10, 7, 14, 4, -14],\n [-11, -1, -1, -12, 13, 2, -12, 1, -1, 5],\n [14, -2, 0, -1, 9, 10, 4, -9, -5, 12],\n [0, 6, 7, 5, 11, -9, 8, 10, -5, -8],\n [7, 2, 3, 2, -6, -5, -5, 10, -8, 1],\n [14, 3, -9, 12, 5, -14, -14, -... | 11412662650 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[-1, 11, 1, -8, -6, -11, 7, -4, -13, -3],\n [-3, -11, 3, 11, 6, -8, 14, -14, 11, 11],\n [8, 11, -2, -9, -9, -3, -7, 9, 7, 4],\n [-10, 3, -10, 10, -5, -14, -5, -10, -3, 7],\n [12, -8, -6, 7, 6, -3, 8, 14, -14, -4],\n [6, 0, -13, 5, -8, 6, -3, 7, 3, -12],\n [-8, ... | 2427800448314 | MATH |
[
{
"content": "Find the sum of all entries of the 6th power of the matrix:\n[[11, -2, 7, -10, 8, -10, -5, 6, 12, -5],\n [12, -8, 11, 0, -8, 14, 12, 0, -12, 4],\n [-5, 13, 14, 0, -12, -9, -3, 0, -9, -2],\n [14, 4, -12, -7, -7, 8, 11, 5, 0, -11],\n [4, 6, -12, -2, -7, 8, 1, -2, -12, 1],\n [-6, 13, -1, -2, 6, 10, -... | -545414388 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[3, 12, 13, 10, 13, 4, 9, 12, 0, -6],\n [-7, 5, 13, -14, -11, -1, 10, -13, 1, -12],\n [11, -7, -9, 1, 9, 1, -8, -2, -2, -10],\n [10, 5, 7, 3, 0, 3, -13, -5, 8, -2],\n [3, 0, -3, 0, -2, 3, 0, 10, 8, -4],\n [4, -12, -8, 6, 11, -1, -1, 7, -2, -3],\n [9, -6, -14, 4... | 7050626278 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[1, -12, 13, -2, -1, -7, -3, 8, 8, 7],\n [6, 11, -7, 6, 10, -6, -14, -9, 8, 4],\n [8, -4, -4, 8, -2, -4, 3, 8, 0, -14],\n [6, 10, -8, 8, 12, -2, -3, 3, 9, 4],\n [0, -7, 4, -5, -8, 3, 1, 5, 12, -9],\n [12, -6, 6, -2, ... | 3848760189 | MATH |
[
{
"content": "Find the sum of all entries of the 7th power of the matrix:\n[[-12, -14, -11, 10, -2, 2, 13, -4, -13, 10],\n [1, -13, 14, 4, 8, 4, 10, 1, 7, 4],\n [-6, -14, -5, 4, -14, -13, 1, -3, -7, 8],\n [3, -13, 10, 14, -2, -9, 6, 11, -9, -6],\n [1, -4, -8, -5, -5, 10, 5, 3, 13, 9],\n [5, 14, -6, 0, -11, -7, ... | -27517536322 | MATH |
[
{
"content": "Find the value at position (7, 10) of the 7th power of the matrix:\n[[-5, 13, 9, -6, 5, -8, -13, 7, 9, 13],\n [8, -8, -7, -8, 6, 8, 14, -1, 11, 4],\n [-10, 8, 10, 3, 5, -3, 8, 2, -2, -13],\n [10, -2, 11, -8, 13, -5, 8, -9, -12, 11],\n [-12, 3, -4, 7, 5, -10, 4, 7, 12, 13],\n [4, 0, 1, 9, -6, -11, ... | 2789825977 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[2, -1, 9, -4, 11, 4, -13, 13, -12, -4],\n [-9, 14, -1, 4, 11, 1, 6, 7, 9, -8],\n [12, -7, 4, 5, 1, 7, 12, -8, -6, -2],\n [-14, 14, -7, 9, 7, -11, -12, 12, -12, 7],\n [-2, -7, -8, 12, -14, 12, 1, -9, -8, -3],\n [8, -6, 12, -4, -5, 6, -14, 3, -11, -10],\n [-6, 1... | 574671397 | MATH |
[
{
"content": "Find the value at position (6, 7) of the 6th power of the matrix:\n[[-13, 9, -7, 14, 5, 2, -2, -14, -13, 0],\n [-3, -1, 10, 14, -13, 3, 7, -8, 14, 8],\n [14, 10, -9, -1, -7, 12, 7, -13, 2, -10],\n [-1, 10, 9, 14, 5, 6, 14, 6, 7, -12],\n [-10, 1, 3, 11, 2, -4, 2, 1, 11, 8],\n [-13, -11, 6, -8, -13,... | 47558375 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the value at position (2, 7) of the result:\nA =\n[[-5, -6, -1, -4, 2, -3, -2, -14, 8, -1],\n [-6, 9, 2, 6, -4, 2, 4, 7, 6, -6],\n [-1, 2, -8, 0, -7, 8, 4, 2, -2, -4],\n [-4, 6, 0, 11, -2, -3, -2, 6, 8, -2],\n [2, -4, -7, -2, 11, -2, -10, 4, 4, 4],\n [-3, 2,... | 113417884 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[8, 10, -4, 6, 2, 4, -12, 7, 3, 8],\n [10, -3, -12, 1, 2, 0, -10, -4, -4, 0],\n [-4, -12, -14, 6, -2, 6, 4, 6, 4, -2],\n [6, 1, 6, -7, 12, 0, 14, -7, -2, -8],\n [2, 2, -2, 12, 8, -10, 0, 6, 2, -2],\n [4, 0, 6, 0, -10, -1, -6, 6, -5, 6],\n [-12, -10, 4, 14, 0, -... | 1291696548 | MATH |
[
{
"content": "Find the sum of all entries of the 7th power of the matrix:\n[[-13, 11, 2, 0, 4, 8, 1, 8, -4, -6],\n [11, 11, -2, 0, 0, 4, 0, -1, -10, 2],\n [2, -2, -8, -4, 6, -2, -8, -11, -4, -14],\n [0, 0, -4, -9, -11, -2, -2, 4, -2, 0],\n [4, 0, 6, -11, -5, 8, -4, -5, -2, 5],\n [8, 4, -2, -2, 8, 13, 0, 4, 6, 6... | 9127910183 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[6, 3, 1, -7, 11, -4, 6, 6, 3, 8],\n [14, 9, -5, -2, 2, 3, -5, 1, 5, -10],\n [-2, 3, 2, -6, -1, 2, 14, -11, 3, 12],\n [5, 9, 9, 0, -4, -3, -6, -2, 0, 12],\n [0, 13, -10, 8, 4, 11, 5, 11, 10, 11],\n [11, -1, 13, 2, 3, 6, -12, -13, -14, -5],\n [4, 2, -3, -14, -3,... | 1537665962005 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[5, -6, -6, -4, -7, -8, 0, 0, -4, -8],\n [-6, 11, -2, 4, 0, -4, 2, -2, 8, 12],\n [-6, -2, -1, -8, -2, 1, 6, 0, -5, -6],\n [-4, 4, -8, -3, 10, 9, 8, -1, -10, -6],\n [-7, 0, -2, 10, 0, -2, -2, 4, 3, 6],\n [-8, -4, 1, 9, -2, -12, 2, 4, 2,... | 3833678924 | MATH |
[
{
"content": "What is the value at position (7, 9) of the matrix A^8 where A is:\n[[-10, 0, 0, -9, 2, -10, 3, 8, 2, -2],\n [0, 10, 2, -7, -6, 0, 2, 2, 1, 0],\n [0, 2, -1, 3, -2, -11, 4, 2, -1, -4],\n [-9, -7, 3, 2, -6, -8, 0, -4, -1, 0],\n [2, -6, -2, -6, -5, 4, 0, 8, -2, 6],\n [-10, 0, -11, -8, 4, -5, -13, -4,... | 27382365037 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[-9, 7, 14, -3, 7, -3, -5, 8, 11, -9],\n [2, 4, 3, -9, 9, 4, -5, 9, -7, 6],\n [9, -9, 6, 10, -8, 9, -14, 12, 3, 9],\n [13, 10, 5, -3, 1, -5, 12, -5, -1, 10],\n [5, -5, -5, 11, 10, -4, 8, -13, 10, 5],\n [-7, 8, 14, -8,... | 6637343088 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[1, -6, 4, 0, -6, 0, 1, -9, 0, 12],\n [-6, -10, 11, 7, 3, 4, 4, -8, 4, -9],\n [4, 11, 11, -3, -10, -3, 5, 5, 2, -4],\n [0, 7, -3, -13, 2, -7, 0, 11, 10, -1],\n [-6, 3, -10, 2, -6, 3, -5, 6, -9, 1],\n [0, 4, -3, -7, 3, -1, 2, -5, -6, 2],\n [1, 4, 5, 0, -5, 2, -1... | 1348017763 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[-10, 7, -8, 2, -8, -7, -10, -3, 0, 4],\n [7, 9, -6, 0, -6, 1, -12, -4, -4, -2],\n [-8, -6, 11, -4, -7, -2, -8, -6, 2, -1],\n [2, 0, -4, -7, 2, -2, 4, -8, 8, 6],\n [-8, -6, -7, 2, 4, -2, 5, 4, -6, 8],\n [-7, 1, -2, -2, -2, 10, 6, -4, -13, -12],\n [-10, -12, -8,... | 6141097969796 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (4, 5) of the result:\nA =\n[[11, 2, -9, 8, 7, -11, 2, 12, -6, -11],\n [-8, 8, -13, 2, 9, -7, 8, 0, 0, -7],\n [1, 4, -4, -13, 8, 9, 2, 13, 11, 1],\n [10, 0, -2, 0, 12, -11, 1, -3, -11, -12],\n [7, 2, 7, 3, 10, 3, 8, 13, 2, -3],\n [8, 6,... | 4762749668 | MATH |
[
{
"content": "What is the value at position (9, 4) of the matrix A^6 where A is:\n[[-5, -8, 8, 6, -2, 2, 0, -13, 6, 2],\n [-8, -1, 10, 8, 6, 1, 2, -8, 10, 9],\n [8, 10, -7, -12, -9, 4, -6, 4, -4, -6],\n [6, 8, -12, 14, -6, 4, -10, 0, 1, 0],\n [-2, 6, -9, -6, 11, 2, 8, 4, -1, 8],\n [2, 1, 4, 4, 2, 7, 12, 3, -6, ... | 580367034 | MATH |
[
{
"content": "What is the value at position (6, 10) of the matrix A^6 where A is:\n[[14, -4, -2, 1, -1, -2, 0, -4, 4, 8],\n [-4, -6, 2, 0, 2, -6, -6, 0, 7, 1],\n [-2, 2, 6, -1, 10, 0, 8, -2, -10, -8],\n [1, 0, -1, 10, -6, -4, -1, -2, 14, -2],\n [-1, 2, 10, -6, -10, -4, 4, 8, 6, 6],\n [-2, -6, 0, -4, -4, 8, 8, -... | -23249362 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[-8, -11, 3, 13, -9, 12, -6, 12, -6, -1],\n [-7, 4, -12, 3, -10, -1, 13, -11, -8, 5],\n [10, 13, -3, -13, -4, -1, 7, 8, 1, 5],\n [14, -9, 8, -11, 0, 9, 10, -14, -8, 10],\n [-3, -5, -10, -3, 3, -5, -9, 13, -3, -8],\n ... | 17334942754529 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[9, 3, 8, -6, 3, 2, 4, 2, 10, 2],\n [3, 6, 0, -10, -12, 2, 12, -3, -6, -1],\n [8, 0, -7, 0, 4, 0, 3, -2, 4, -6],\n [-6, -10, 0, -1, -4, 12, 0, 0, -12, -6],\n [3, -12, 4, -4, -13, 8, -6, 2, -12, 5],\n [2, 2, 0, 12, 8,... | 639019660374 | MATH |
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