messages listlengths 1 1 | ground_truth stringlengths 6 14 | dataset stringclasses 1
value |
|---|---|---|
[
{
"content": "For the matrix power A^7 where A =\n[[-14, 1, -3, -3, 4, -5, 5, -10, -12, -6],\n [6, 8, 0, -1, -4, -2, -8, 12, 10, -13],\n [-12, 5, -7, -14, 10, 6, -11, -2, 9, -1],\n [-6, -12, -1, -11, 2, 0, -3, -1, 4, -5],\n [-10, 14, 9, 2, 2, -12, 1, 10, -6, 2],\n [5, -3, 9, -13, 5, 1, 8, 8, 6, 8],\n [-9, -13, ... | 260367722473 | MATH |
[
{
"content": "What is the value at position (9, 3) of the matrix A^8 where A is:\n[[10, -7, 3, 14, 8, -12, 2, -6, -2, -7],\n [-7, -9, 6, 2, 6, -6, 6, -3, 6, 0],\n [3, 6, 1, 8, -10, 0, -1, 10, 8, -2],\n [14, 2, 8, -11, 8, -1, -3, 8, 0, -2],\n [8, 6, -10, 8, -10, 0, 5, -2, 4, -10],\n [-12, -6, 0, -1, 0, 11, 6, 4,... | -55153743326 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-4, -7, -10, -7, -10, -5, 0, -9, 9, 3],\n [8, -12, -6, -5, -8, 4, 9, 11, -13, 11],\n [13, -7, -8, 13, -10, -11, -4, 11, 13, -5],\n [-14, 14, -11, 7, -9, 3, 10, -2, -2, -14],\n [-11, -11, 3, 9, 12, 3, 3, 0, 3, 0],\n [2, 14, -10, -4, 1,... | 1319354009 | MATH |
[
{
"content": "Find the sum of all entries of the 6th power of the matrix:\n[[-2, 4, 0, -14, 6, 0, -4, 2, 6, -12],\n [4, -3, 6, 10, -10, 10, 0, -2, 0, 3],\n [0, 6, -2, -6, 0, -2, -6, -6, -9, 2],\n [-14, 10, -6, -10, 10, 10, 0, 11, 2, 3],\n [6, -10, 0, 10, -11, -2, -7, 6, -4, 9],\n [0, 10, -2, 10, -2, -11, -6, 0,... | 777351792 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[3, 8, 0, -8, 4, -8, 4, -6, -7, -2],\n [8, -12, 4, -2, -2, 0, 0, 3, -7, 6],\n [0, 4, -4, 4, -1, 0, -10, -3, -2, -5],\n [-8, -2, 4, 9, 10, 5, -4, 2, -6, -8],\n [4, -2, -1, 10, -9, -6, 4, 2, -8, -2],\n [-8, 0, 0, 5, -6, 2, -6, 4, -3, -9],\n [4, 0, -10, -4, 4, -6,... | 166371093214 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[10, 10, -4, -1, 2, 13, -8, 7, -11, -4],\n [4, -6, 11, 6, -7, 5, -11, 1, -9, -9],\n [4, -13, -4, 10, 3, -6, 13, 1, -4, -1],\n [-7, 12, -2, -5, 8, -3, 6, 14, -12, -13],\n [-4, 9, 3, 9, 6, 10, -11, -7, 14, -4],\n [0, 8... | 3145748362271 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[8, 5, -1, -13, -6, -8, 6, 0, 4, 4],\n [5, -1, 12, -1, 0, 6, -2, 2, -11, 9],\n [-1, 12, 1, 9, -6, -1, 6, 10, -3, 0],\n [-13, -1, 9, -4, -10, 12, 0, -2, 6, -8],\n [-6, 0, -6, -10, 12, 6, 6, -5, 3, -12],\n [-8, 6, -1, 12, 6, 9, -2, -2, 8, -6],\n [6, -2, 6, 0, 6, ... | 33991880574 | 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, 6, 2, -1, 6, -2, -7, 6, 0],\n [9, -8, -2, 8, -4, -6, 0, -1, 4, 11],\n [6, -2, -8, -10, 10, -2, 3, -8, 6, -2],\n [2, 8, -10, 3, -1, 12, 0, -10, -4, 0],\n [-1, -4, 10, -1, -4, 2, -12, 0, 1... | 16589301844 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 7, 13, -2, -14, 1, 5, -7, 2, -9],\n [-13, -2, 10, -7, 10, -6, -2, 3, 3, -6],\n [-13, -11, 3, 2, -3, 1, -2, -4, -1, -5],\n [8, 13, 12, 6, 4, 9, 6, 2, -6, -1],\n [-10, -12, 7, -7, 3, 12, -12,... | 7665452481 | MATH |
[
{
"content": "Find the sum of all entries of the 8th power of the matrix:\n[[-10, -13, 11, -8, -6, 4, -1, 2, 5, 5],\n [-4, 7, -10, -3, 14, 6, -6, 14, 12, 2],\n [-7, 9, 12, -7, 14, -3, 14, 4, -5, 9],\n [-13, 9, 13, -7, -1, 4, -11, -6, -2, -6],\n [11, -2, 10, 1, 11, 7, -14, -7, 14, -6],\n [9, -2, 2, 13, 7, 10, -6... | -134957177873 | MATH |
[
{
"content": "Find the value at position (7, 8) of the 7th power of the matrix:\n[[-12, -4, -9, 12, 9, 6, -1, 2, -12, 14],\n [9, -11, -6, -2, -9, -5, 5, 5, 11, 6],\n [-2, 8, -1, -3, 8, -2, -5, -8, -10, -3],\n [14, 10, -13, -7, 11, -7, 4, -10, -7, -5],\n [-2, -6, -8, 5, 5, 4, -4, -7, 7, 1],\n [-5, -9, -5, -5, 10... | 1605761680 | MATH |
[
{
"content": "Find the sum of all entries of the 8th power of the matrix:\n[[-12, 8, -2, 8, 14, -4, 0, 9, 2, 0],\n [8, 11, 0, -8, 6, 6, -4, -4, -2, 2],\n [-2, 0, -14, -8, -5, -4, 7, 2, 0, 2],\n [8, -8, -8, -3, 0, -4, 7, -8, -1, 6],\n [14, 6, -5, 0, -14, 8, 2, -8, 8, 6],\n [-4, 6, -4, -4, 8, -10, -10, 10, 4, 4],... | 495446942772 | MATH |
[
{
"content": "Find the sum of all entries of the 7th power of the matrix:\n[[3, 6, -7, 10, -7, 1, -3, -10, -3, 2],\n [6, 7, -10, -6, 0, 2, -4, -12, -2, 3],\n [-7, -10, 9, -11, 12, 3, -2, 0, -7, -7],\n [10, -6, -11, -6, -2, 10, 10, 9, -2, 3],\n [-7, 0, 12, -2, -13, 4, -12, 1, 10, -13],\n [1, 2, 3, 10, 4, 1, -1, ... | -32331894812 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[11, 6, -6, 5, -8, -7, -5, -6, 2, -3],\n [6, 6, -6, 6, -10, -1, 2, 6, 8, -10],\n [-6, -6, 6, 4, 0, 0, 0, -8, 2, 4],\n [5, 6, 4, -14, -9, 0, 6, 6, 6, -4],\n [-8, -10, 0, -9, -13, 5, -7, -6, -2, -10],\n [-7, -1, 0, 0, 5, 4, -3, -8, 12, 1],\n [-5, 2, 0, 6, -7, -3,... | 9293381835317 | MATH |
[
{
"content": "Find the sum of all entries of the 8th power of the matrix:\n[[7, -6, -4, -13, 12, 3, 7, -12, 3, 1],\n [-7, 8, -7, -9, 10, 10, -13, 1, 11, 6],\n [-6, 4, 6, 0, 9, -13, 0, 7, -4, 5],\n [-3, 0, 1, 13, -9, -12, -9, 8, 11, -12],\n [6, -2, -3, -7, -13, -8, 14, 2, -8, -14],\n [-11, 0, -11, -3, 1, 6, 3, -... | -482971686234 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[-8, -4, 9, 6, 4, 2, 4, 0, -2, -9],\n [-4, 14, -1, 5, -8, -4, -1, -8, 7, 10],\n [9, -1, 9, -8, 11, -2, -6, -8, -2, 0],\n [6, 5, -8, 14, 4, 2, 8, 1, -12, 12],\n [4, -8, 11, 4, -14, -2, 0, 6, -10, 8],\n [2, -4, -2, ... | 8855007922809 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[-3, 4, -1, 4, 12, 2, 13, 1, 4, -10],\n [7, 4, -11, -10, -10, 10, 9, -14, 3, 13],\n [0, 6, 13, 4, 8, -1, 12, -9, 3, -7],\n [-10, 7, -7, 14, -9, -5, -12, -2, -8, -11],\n [-2, -9, 1, 7, 12, 6, 14, -14, 9, -2],\n [11, -1... | 314645726793 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[1, -6, -4, -6, -1, 4, 4, 1, 4, -6],\n [-6, -7, 4, 3, 9, -4, -2, -4, -6, 12],\n [-4, 4, 7, 4, -4, 0, 8, -10, -11, 2],\n [-6, 3, 4, -1, -3, -3, 5, 8, -9, 10],\n [-1, 9, -4, -3, 6, 0, 10, -6, 0, -5],\n [4, -4, 0, -3, 0, 0, 8, -3, 5, -10],\n [4, -2, 8, 5, 10, 8, -... | 11491921456 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[12, -3, 2, -4, -5, -14, -6, 10, -9, 4],\n [-3, -2, 2, -3, -4, -1, -2, 4, 8, 0],\n [2, 2, -11, -4, 0, -4, -8, 4, -13, -9],\n [-4, -3, -4, 12, 4, 0, 0, -7, -4, 6],\n [-5, -4, 0, 4, 7, -2, -4, -9, -6, 4],\n [-14, -1, -4, 0, -2, 10, 0, -4, 8, -6],\n [-6, -2, -8, 0... | 31595068304905 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[5, 6, 5, -5, 11, 8, 9, -3, -7, -12],\n [14, 6, -5, 9, -8, 10, 14, -5, -8, 3],\n [5, 13, -1, -3, -7, 10, -8, -10, -14, 0],\n [-6, -3, 7, 3, -4, -5, -5, 3, 11, -14],\n [13, 5, 11, -4, 14, -13, 11, -4, 10, -13],\n [12, -6, -14, 8, -9, 7, -13, 0, -14, 11],\n [9, 9... | 970821028300 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the value at position (5, 10) of the result:\nA =\n[[3, 0, 5, -11, 3, -5, 7, 7, 4, 2],\n [-5, 10, -11, 10, -10, -8, 4, 4, -7, -14],\n [9, -7, 4, 2, -6, 5, 8, 1, -6, 4],\n [1, 6, 11, 12, -2, 4, -10, 12, -13, -11],\n [-3, 3, -12, 6, 10, 4, 11, 7, -11, -11],\n ... | 270539935916 | MATH |
[
{
"content": "Find the sum of all entries of the 7th power of the matrix:\n[[-12, 14, -5, 6, -1, 4, 6, -11, 10, -1],\n [-9, -3, 11, -13, 2, -14, 2, 10, -10, 1],\n [-1, 5, -5, 6, 10, -12, -12, 13, 3, 9],\n [8, 3, -11, -8, -14, 1, 2, -7, -9, -13],\n [11, -5, 2, 4, 13, -11, -2, 6, 12, 11],\n [4, 1, -2, -10, -3, -8... | -33267411667 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[-9, 12, -6, 2, 0, 4, 4, -4, -6, -12],\n [12, -5, 6, 0, 8, 11, 3, 4, -5, 6],\n [-6, 6, 4, 4, -2, -4, 0, 2, -12, 12],\n [2, 0, 4, -13, 6, -5, 6, -2, -5, 0],\n [0, 8, -2, 6, 10, 0, 8, 2, 8, 0],\n [4, 11, -4, -5, 0, 0, 0, -6, -2, 4],\n [4... | 1264046766 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[9, -12, 1, -13, -9, 13, 2, -3, -6, 1],\n [-8, -7, -8, 6, -10, 8, -8, 3, 3, 1],\n [-8, 6, -13, 2, 10, 12, -7, -13, 3, 4],\n [5, -6, -3, 7, 4, -7, 7, -7, -5, 13],\n [3, 0, 9, -4, 6, 11, -1, 0, -1, -3],\n [-11, -12, -3, 10, 11, -8, -8, 7, 10, 4],\n [-1, -14, -8, ... | 2036733813366 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[-5, -1, -4, -10, -11, -12, -1, -2, 9, 8],\n [-10, -3, 10, 13, 8, -5, -13, -8, -8, -11],\n [-3, 13, 9, -11, -8, 5, -2, -7, -1, -12],\n [-13, -5, -9, 8, -8, 1, -9, 1, 12, 9],\n [-3, 7, 0, 7, -12, 13, 1, 3, 0, 8],\n [-9, 2, -13, -13, 2, 4, -10, -11, 13, 3],\n [-7... | 14465361938725 | MATH |
[
{
"content": "Find the value at position (9, 3) of the 7th power of the matrix:\n[[-3, -8, -4, 11, -8, 5, -12, -11, -13, 5],\n [0, 5, -3, 6, 2, 3, -7, 9, -7, -10],\n [9, -6, 5, 5, 8, -10, 12, -5, -14, 9],\n [-11, 9, 1, 3, 13, -3, 5, 0, 3, -10],\n [11, 11, -1, 9, 12, -8, -4, 0, 6, -4],\n [-8, 6, 8, 5, 5, 11, -11... | 33039213 | MATH |
[
{
"content": "Find the sum of all entries of the 7th power of the matrix:\n[[-2, 0, -8, 0, 3, -7, -6, 3, -3, 3],\n [0, 1, 2, 10, -4, 7, -8, -4, -2, -7],\n [-8, 2, -11, -4, 6, -2, -6, 10, -13, 4],\n [0, 10, -4, 3, -3, 4, 0, 4, 8, -1],\n [3, -4, 6, -3, 13, -7, -4, 7, 2, 2],\n [-7, 7, -2, 4, -7, -5, -1, 4, 6, -4],... | -23722126358 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (1, 6) of the result:\nA =\n[[-5, 6, 10, -4, 10, -2, 0, -3, -5, -6],\n [6, -9, 2, 6, 8, -2, 2, -2, -2, 0],\n [10, 2, -9, 1, -2, -10, 5, 4, 1, 6],\n [-4, 6, 1, -12, 1, -11, -2, -7, -6, 14],\n [10, 8, -2, 1, 3, -4, 8, -3, 1, -2],\n [-2, -... | 1329334959 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[-6, -8, -4, 0, -3, 4, 4, -3, 4, 3],\n [-8, -4, 0, -8, 2, 2, -5, 0, -10, -9],\n [-4, 0, 5, 2, -10, -3, -5, 5, 4, -12],\n [0, -8, 2, -2, -4, 6, 0, -2, -4, 6],\n [-3, 2, -10, -4, 14, -2, 9, -4, -2, 2],\n [4, 2, -3, 6, -2, 8, 4, 4, 10, -8],\n [4, -5, -5, 0, 9, 4, ... | 1587925029 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-8, -4, 8, 0, -2, 0, 10, 9, -3, -8],\n [-4, 4, 8, 0, -9, -6, -6, 4, 2, -5],\n [8, 8, 6, 8, 10, 8, 4, -4, -12, -2],\n [0, 0, 8, 12, 8, -13, -4, -6, -8, -9],\n [-2, -9, 10, 8, 9, -6, -4, -5, -1, -11],\n [0, -6, 8, -13, -6, 4, -7, 8, 0, -10],\n [10, -6, 4, -4, -4... | 10057999548 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[-6, 9, 4, 8, 4, -8, 1, 3, 6, 6],\n [9, -14, 6, -12, 6, -2, 8, 2, 2, -4],\n [4, 6, -12, 0, 4, 3, -6, -6, 4, -6],\n [8, -12, 0, 8, -12, 2, 8, 8, 10, -5],\n [4, 6, 4, -12, 9, 8, -4, -2, 6, 2],\n [-8, -2, 3, 2, 8, 6,... | 920185762 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[3, -7, -5, 5, -11, -5, -5, 12, -12, 6],\n [-11, 8, -5, -8, 7, 8, -3, -8, -2, -7],\n [12, -2, -14, 1, 4, 13, 4, 6, 11, -2],\n [14, -8, 0, 11, -9, -11, 7, 8, 5, -4],\n [9, 6, 4, -13, 2, 0, 5, 3, -3, -12],\n [2, -1, 14, -9, -11, 6, -7, 1... | -7454810318 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[-11, -2, -10, -3, 2, -5, 11, -3, -9, 12],\n [5, 13, 5, -3, -2, 6, 2, 5, -5, 4],\n [-10, 11, -10, -7, 2, -12, 6, 1, 12, 4],\n [-9, -5, 1, -2, -12, 7, -7, 5, -7, -8],\n [12, -4, 14, 5, -12, 6, 6, -8, -4, 2],\n [10, 3, ... | 4713548250088 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the value at position (8, 9) of the result:\nA =\n[[7, 2, 2, -8, -7, -6, 3, 1, -4, -8],\n [2, -10, 9, -11, -6, 2, 1, 8, 2, 4],\n [2, 9, 11, 6, -2, 0, 4, 6, 2, 6],\n [-8, -11, 6, 4, -3, 0, -1, 4, 0, 6],\n [-7, -6, -2, -3, 13, -12, 12, 8, 1, 2],\n [-6, 2, 0, 0... | 13228078833 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (6, 9) of the result:\nA =\n[[1, 8, -1, 8, -6, 3, -11, -3, 9, -10],\n [-4, -10, 4, 6, 14, -8, -11, -7, 12, -9],\n [-9, 7, -11, -1, -12, -5, 7, -9, 3, -5],\n [-6, 1, 5, -11, 11, 14, 13, -4, 13, -3],\n [9, 4, -5, -8, -8, 3, -12, -3, -1, 5... | -1331851357 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[12, -5, 2, -7, 0, -4, -1, 0, 10, 6],\n [-5, 10, -12, 2, 1, -2, 5, -4, 12, 2],\n [2, -12, 7, -6, 1, 0, -6, -6, -12, -5],\n [-7, 2, -6, 4, -8, -8, -12, -8, 0, 9],\n [0, 1, 1, -8, -4, -6, 0, -1, 0, 0],\n [-4, -2, 0, -8, -6, 1, 3, -3, -10, -6],\n [-1, 5, -6, -12, ... | 3697975405933 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the value at position (4, 5) of the result:\nA =\n[[-3, 6, 7, -11, 13, 8, 14, -8, -3, 8],\n [-4, -8, 14, 11, 12, -5, -6, -13, -10, -5],\n [10, 13, 14, -1, 12, 1, 12, -13, 4, 8],\n [-6, -1, 0, 4, 11, -7, 12, 0, -7, 13],\n [-11, 12, 14, -9, -4, -3, 9, 13, -6, ... | -66929210582 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[-12, -2, -3, -8, -6, -1, 2, -8, 4, 2],\n [-2, -11, -4, -2, 10, 3, -2, 1, 6, -2],\n [-3, -4, 8, 4, 4, 11, 4, -6, -2, -5],\n [-8, -2, 4, -2, -2, -4, 0, -4, 5, -2],\n [-6, 10, 4, -2, 2, -6, 2, 4, ... | 60775578174 | MATH |
[
{
"content": "Find the sum of all entries of the 6th power of the matrix:\n[[-14, -8, 7, 4, -2, -2, -6, 4, 3, 0],\n [-8, -8, -4, 5, -2, 7, -10, 8, 1, -4],\n [7, -4, 9, 2, -6, 0, 1, 0, -2, 10],\n [4, 5, 2, -1, 6, 2, 8, -5, 4, 0],\n [-2, -2, -6, 6, -12, 2, -7, -6, 8, 5],\n [-2, 7, 0, 2, 2, 9, 2, 5, -11, 0],\n [-6... | 3373303484 | MATH |
[
{
"content": "Find the value at position (7, 3) of the 8th power of the matrix:\n[[13, -3, -12, 6, 2, 6, -1, 3, 0, 0],\n [-3, 3, 0, -6, -4, 6, 8, -3, 2, -7],\n [-12, 0, -13, -4, -2, 2, -3, -4, -3, -6],\n [6, -6, -4, 3, -4, 1, 2, 3, -2, 0],\n [2, -4, -2, -4, -11, -1, 0, -2, 7, -6],\n [6, 6, 2, 1, -1, -14, 2, 3, ... | 6237215115 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[-4, -9, 14, -14, 4, -8, 8, -5, 14, -3],\n [-3, 14, -14, -6, 2, 8, -3, 13, -13, -6],\n [-3, 13, 10, 10, -11, 7, 14, -3, 3, -12],\n [7, -14, 8, 3, 9, 6, 8, -7, 4, 7],\n [13, 10, -11, 11, 8, 1, 2, 13, 8, -6],\n [11, -7, 5, 4, -8, 14, -3,... | -177380271 | MATH |
[
{
"content": "What is the value at position (3, 6) of the matrix A^8 where A is:\n[[14, 1, -5, 1, -5, 2, 10, 0, 7, -1],\n [1, 13, -4, -4, -8, -8, -4, -4, 0, 5],\n [-5, -4, -8, 10, -2, 0, -1, -2, 8, -3],\n [1, -4, 10, -11, -4, 0, 4, 2, 10, -12],\n [-5, -8, -2, -4, 3, 5, 10, -3, -2, 5],\n [2, -8, 0, 0, 5, 9, 2, 1... | 78162836709 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[7, 12, -3, 0, -8, 5, -2, -2, 1, 10],\n [12, 6, -3, 2, -8, 6, 4, 12, -4, -2],\n [-3, -3, 9, -6, 1, -9, -12, 4, -2, -1],\n [0, 2, -6, -5, -6, 0, 2, 11, 3, -5],\n [-8, -8, 1, -6, 4, -2, -7, -8, -1... | 15800234532688 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-7, -3, -8, 9, 1, 10, 2, 11, 7, -11],\n [2, 3, 11, -11, 2, 0, 7, 2, -2, 10],\n [11, -12, -3, 12, 2, 7, 7, -8, -8, 11],\n [-4, 1, -11, 1, -10, 4, 7, 14, -1, -8],\n [-6, 10, 13, -2, 1, 6, -11, -8, -12, 5],\n [0, 10, 6, 11, -1, -8, 3, 10... | 151487704428 | MATH |
[
{
"content": "Find the sum of all entries of the 8th power of the matrix:\n[[7, 3, -10, -3, -13, -5, -8, 0, 12, 11],\n [7, -8, 0, 1, 7, 11, -14, 0, -12, -5],\n [1, -13, 2, -14, -11, -4, 2, -13, -14, 14],\n [13, 13, -9, -4, -11, 9, -4, -10, -5, -10],\n [12, 12, 9, 12, 11, 7, 7, -12, 14, -9],\n [11, -2, 1, -8, 3,... | 2192059160368 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[13, -6, 12, -12, 4, 6, -2, -2, 8, -12],\n [5, -1, -13, 10, -5, -6, -2, -4, -13, 1],\n [-10, -14, -7, 7, 1, -1, 11, 11, -13, 3],\n [11, 6, -8, 10, 10, -3, 0, 12, 7, -13],\n [7, 2, 12, -4, 14, -13, 13, 4, -10, 11],\n [... | 2645734772898 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-13, 4, 0, 2, 5, 8, -2, -3, 2, -4],\n [4, -9, -7, 0, 2, -9, -8, -1, -3, -6],\n [0, -7, -7, -4, 2, -10, 8, -2, 8, 4],\n [2, 0, -4, -11, 4, -4, -2, -2, -8, -4],\n [5, 2, 2, 4, -1, 8, 3, 4, 7, 5],\n [8, -9, -10, -4, 8, -2, 6, 2, 4, -2],\... | -145494985146 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[12, 5, -9, -2, -4, 0, -5, -1, -10, 0],\n [5, 5, -8, -9, -9, 8, -8, 2, -11, 3],\n [-9, -8, 14, 10, -4, -2, -4, -2, 4, -10],\n [-2, -9, 10, 14, -10, -1, 4, 8, 6, 4],\n [-4, -9, -4, -10, -4, 5, 6,... | 1852829622777 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[11, -4, -10, 9, -8, 4, -8, -5, -7, 6],\n [12, 6, -1, 12, -14, -2, 9, 14, -9, -9],\n [6, -10, -12, -3, 0, -12, 1, 3, -6, -7],\n [-4, -12, -10, -5, -10, -7, -9, 8, 6, 1],\n [-3, 2, -7, -11, 6, 2, -12, 3, 1, 13],\n [-13, -2, -14, 7, 9, -12, -14, 11, -13, 4],\n [7... | 2514776680 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[0, -4, 5, 12, -10, 4, -2, -3, -4, 1],\n [-4, -13, 4, -3, 4, 4, 6, 0, -2, 10],\n [5, 4, 1, 4, -7, 10, 2, 4, 0, 8],\n [12, -3, 4, -3, -7, 0, 4, 6, -6, 0],\n [-10, 4, -7, -7, 0, -10, -7, 6, -4, -8],\n [4, 4, 10, 0, -10, 1, 7, 2, 0, 9],\n [-2, 6, 2, 4, -7, 7, -10,... | 2189501790 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[-3, -2, 1, -6, 1, -2, 8, 4, -5, 11],\n [-2, 10, -2, -6, -10, 3, 1, 5, 0, 0],\n [1, -2, -8, -10, 11, 0, 2, -13, 6, -8],\n [-6, -6, -10, 13, 4, -5, 4, 10, -12, 0],\n [1, -10, 11, 4, -13, -3, -3, 1, -2, -8],\n [-2, 3, 0, -5, -3, -13, 7, 13, 0, 12],\n [8, 1, 2, 4,... | -108618061 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[-12, -1, -14, -6, 1, 2, -7, 0, 6, -7],\n [-8, -6, -13, 10, -5, -10, 1, 6, -14, -9],\n [-5, -5, 11, 11, 4, -2, 11, 4, -12, -2],\n [-11, 10, 14, -7, -3, 7, 9, 9, 2, 10],\n [-14, 12, -13, -6, 8, 11, -14, 4, 2, -10],\n ... | 95593184366 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[3, -10, 6, -9, -4, -9, 2, -12, 6, -8],\n [-10, -4, -1, 4, 0, -10, -4, -3, 9, -6],\n [6, -1, 0, 12, -2, -1, 5, 0, 4, -3],\n [-9, 4, 12, -12, -8, -4, -2, -3, 0, 4],\n [-4, 0, -2, -8, 9, 0, -5, 1, 10, -9],\n [-9, -10, -1, -4, 0, -10, 8, -2, -12, 7],\n [2, -4, 5, ... | -160772655 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[-7, 4, 3, 4, 2, 9, 8, -10, -12, 2],\n [4, -6, -12, 2, -2, 6, 12, -2, -6, 8],\n [3, -12, 2, -3, 2, 4, -3, -4, -2, -10],\n [4, 2, -3, 11, -10, 3, -2, -9, 0, -1],\n [2, -2, 2, -10, 9, 7, -7, 6, -1, 2],\n [9, 6, 4, 3... | 3718653621712 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 3, 12, 10, 8, 4, -5, -5, -8, 11],\n [-5, -1, -10, 10, 7, -4, 14, -8, 5, 3],\n [-4, 5, 10, -12, -8, 14, -11, 4, 6, 3],\n [-4, -1, -5, -1, -11, 8, -3, -3, -13, 11],\n [-9, -10, 4, 6, 0, -5, -... | 3061563971896 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[10, -13, 2, 11, 7, 12, 7, 5, 14, 3],\n [14, -5, -3, 12, -12, 14, -9, 5, -10, 12],\n [10, 6, 11, 12, -7, 3, 1, 13, -1, -9],\n [-4, 12, -9, -10, 0, -9, 6, 1, 3, 6],\n [-14, -12, 8, 5, 9, -12, -8, -1, 3, 9],\n [0, -2, 4, 14, 7, -13, -8, -2, -11, -9],\n [3, 4, 0, ... | 6218908825 | MATH |
[
{
"content": "Find the sum of all entries of the 7th power of the matrix:\n[[3, 7, -9, -14, -6, 0, 13, -7, 13, -1],\n [-11, -8, 5, -7, -5, 3, 3, 4, -11, 12],\n [-2, -9, 6, 11, -2, 11, 8, 7, 1, 5],\n [12, -5, -6, -8, 2, 9, 5, -8, 12, -13],\n [13, 4, -14, -13, 12, -10, 3, 14, -9, -9],\n [7, 13, 12, 1, 1, -12, 12,... | -54264346675 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -8, 8, -11, -7, 6, 1, -4, 0, 6],\n [-8, -14, 2, 10, -10, -2, -8, 4, -7, -12],\n [8, 2, -11, -8, -6, 2, 5, -4, 8, -3],\n [-11, 10, -8, -10, 12, -3, 2, 0, 1, 11],\n [-7, -10, -6, 12, -9, -5, ... | 15978420081 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[13, -8, 8, 1, -10, -11, 7, 0, 1, -6],\n [-8, 5, -13, -1, 0, -7, 2, 2, -8, 2],\n [8, -13, -4, -11, 8, 5, -6, 1, 4, 4],\n [1, -1, -11, 0, 2, 0, 4, 4, 0, -6],\n [-10, 0, 8, 2, -12, -4, 4, -5, 3, -1],\n [-11, -7, 5, 0, -4, 6, -4, -10, -7,... | 6455787526 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[12, 9, -8, 2, 2, -14, -13, 11, 3, -6],\n [-10, -14, -8, 11, -13, -12, -11, -12, 4, 10],\n [-3, 0, -11, 9, -14, 1, 14, -9, 2, -10],\n [8, -2, -3, -14, 10, -3, 12, 10, 7, -13],\n [3, -6, 1, 14, 5, 0, 7, 14, -5, -13],\... | 9306638942 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (2, 2) of the result:\nA =\n[[11, 13, 0, 5, 8, -2, 5, -4, 3, -6],\n [1, 9, 13, 0, -11, 9, -3, -2, -6, 0],\n [3, 5, 12, 7, -8, 6, 11, -3, -5, 14],\n [-8, -1, 12, 0, -11, -7, 4, 14, 4, -10],\n [7, -12, -5, 0, -13, 6, -5, 7, 1, -12],\n [-8... | 257937052 | MATH |
[
{
"content": "Find the sum of all entries of the 7th power of the matrix:\n[[5, 11, 6, -8, 6, 10, 7, -12, 7, 7],\n [0, 13, -5, 1, 2, 8, 4, -14, -14, 6],\n [-1, 11, 11, -13, -13, 13, 5, -5, 0, 12],\n [13, 13, 0, -8, -7, -4, 1, 11, 8, 10],\n [-8, 5, -6, 10, 4, 11, 9, -14, 3, -7],\n [14, -7, 7, -7, -1, 9, -13, -12... | -22688169815 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the value at position (8, 1) of the result:\nA =\n[[11, 1, 6, 13, 5, 5, -2, 5, 12, -11],\n [-11, 7, -13, -2, -2, 5, -8, -8, 2, -5],\n [-3, 10, 8, 12, 7, 1, -13, 7, 6, -6],\n [-3, 2, 1, -10, 4, 10, 13, 2, 7, -12],\n [2, 12, 0, 4, 0, 3, 11, -3, 13, -3],\n [9, ... | 71642421650 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[-6, 0, 11, -8, -8, 0, 4, -4, -4, 9],\n [0, -7, 2, -1, -2, 2, -2, 6, -10, 2],\n [11, 2, 12, -13, -10, 8, 0, -1, 10, -4],\n [-8, -1, -13, -4, 9, -10, 2, 7, -7, -2],\n [-8, -2, -10, 9, 1, 2, -3, 11, -10, -4],\n [0, 2, 8... | 38001996533 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[3, -2, -12, 2, -4, 0, -2, 5, -11, 7],\n [-2, 5, -8, 1, 4, -8, 8, -9, 9, -7],\n [-12, -8, 9, -2, -6, 0, -4, 1, 11, 11],\n [2, 1, -2, -6, -2, 0, 8, 6, 0, -11],\n [-4, 4, -6, -2, -3, 0, -8, 0, 3, 4],\n [0, -8, 0, 0, 0, -9, -10, 2, 3, -2],\n [-2, 8, -4, 8, -8, -10... | 390596604 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[-6, 7, -11, 5, -4, 2, -1, -5, -10, 6],\n [6, 13, 2, 1, -14, -5, -3, 3, -14, 14],\n [9, 13, -3, 5, -9, -7, -1, -10, 7, -11],\n [7, 1, -9, -12, -11, 7, -7, 14, -1, -8],\n [-11, 4, -4, 0, 9, 1, -9, -3, -7, 10],\n [1... | -3429140716 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[-9, 0, -2, 2, -8, 0, 2, -4, -4, -9],\n [0, 2, -2, -4, -8, -2, 10, -6, 0, 7],\n [-2, -2, 9, -3, -6, 5, 4, -1, -8, -7],\n [2, -4, -3, 1, -5, 2, 4, -4, 2, -12],\n [-8, -8, -6, -5, 14, 9, -3, -2, 8, -5],\n [0, -2, 5, 2, ... | 302935416828 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the value at position (3, 2) of the result:\nA =\n[[-6, -1, 6, -6, 0, -2, 6, 0, 2, 2],\n [-1, -3, -10, -13, -6, -1, 4, 12, 3, 4],\n [6, -10, 3, 2, 0, -2, -1, -10, 2, 0],\n [-6, -13, 2, 14, 3, -8, 5, 0, -8, 6],\n [0, -6, 0, 3, 0, 2, 2, -12, -4, 0],\n [-2, -1,... | -225053738 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[12, -3, -4, -5, 8, 7, 13, 7, -7, 0],\n [7, 3, 8, -2, 11, 1, -2, -11, -4, 12],\n [4, -7, -5, -3, 13, 6, 5, -4, 5, 6],\n [13, -11, 4, 5, -5, 0, -2, -2, 6, 13],\n [3, -8, -1, -10, -6, 7, 12, 2, 10, -10],\n [1, -6, 2, 3,... | 93449266878 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (8, 4) of the result:\nA =\n[[3, 9, 13, 10, 8, -4, -14, 1, -11, 8],\n [-9, -4, 9, -9, -5, -9, -5, 7, 8, -10],\n [13, 12, -6, -8, 2, 12, -3, 13, 10, -4],\n [-9, 12, 9, 10, -4, -4, -1, 1, -13, -13],\n [-10, -1, 6, 13, -5, -5, 3, 11, 5, -6... | -7056750269 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[-11, 13, 13, 6, 5, 5, 10, 10, -6, -4],\n [-10, -4, -2, 6, -13, 7, -13, -5, -2, -10],\n [-4, 14, 0, 13, 13, -10, 5, -10, -8, -5],\n [14, -13, -14, 5, 8, -14, -11, 0, 0, -9],\n [-9, -14, -8, -10, 7, 2, -8, -11, -12, -3],\n [12, 14, 0, 5, -6, 6, -3, -10, -7, 0],\... | 753204024 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[1, -4, -6, -2, -8, 0, 3, 2, 2, 9],\n [-4, -5, 4, 10, -8, -2, 4, 4, -4, -6],\n [-6, 4, 5, -2, -2, -4, -3, -9, 2, 2],\n [-2, 10, -2, 10, -2, 2, -10, 0, -4, -6],\n [-8, -8, -2, -2, 12, 3, 0, -4, 13, -4],\n [0, -2, -4, 2... | 273903900403 | MATH |
[
{
"content": "What is the value at position (2, 4) of the matrix A^7 where A is:\n[[7, 2, -11, -8, 14, 14, 13, -6, 11, -12],\n [5, 6, -10, 3, 14, 6, 11, 2, -8, -1],\n [0, 6, 7, -1, -6, 1, 4, -14, -7, 3],\n [-13, 11, 14, -11, 6, -14, 12, 4, -4, 9],\n [-9, 4, -1, 13, 8, 12, 7, 6, 9, 9],\n [4, 9, 11, 10, -2, -3, 1... | 475667366 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[-1, -10, 0, -6, 0, 4, 1, -7, 0, -4],\n [8, -11, 6, 9, -5, 8, 11, -5, -13, -7],\n [-7, -6, -13, -1, 5, -13, -11, -12, 8, -1],\n [6, 1, 0, -8, 3, 5, -9, 13, 6, 1],\n [-4, -13, 13, 8, -13, -1, -6, 8, -3, -12],\n [7, -10... | 18735263494263 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[-2, -10, 13, 11, 0, 9, 6, -10, -10, -11],\n [12, 13, 12, 13, 8, 1, 3, -5, 14, 5],\n [12, -12, -5, -2, 9, 8, -12, -11, -2, -1],\n [-11, -3, 1, -5, 8, 9, 5, 9, 2, 14],\n [10, -8, -11, 9, -3, -5, -13, -1, -7, -5],\n [-... | 10419572834044 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[10, 8, -3, 6, -10, -1, -9, -14, 1, -9],\n [-2, -2, -4, 1, 7, -1, -4, -10, 11, 10],\n [11, -5, 6, 10, 11, 0, -8, -12, -4, -6],\n [-5, 8, -11, 13, 10, 7, 10, 5, 11, 3],\n [14, -1, -6, 11, 13, 5, 1, 12, -13, 8],\n [-8, -10, 6, 9, 7, 2, -4, 13, -11, 2],\n [6, -10,... | 12082215996 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -2, 11, -4, -4, -13, -1, 0, 8, 13],\n [-14, -3, -1, 3, 6, 9, 13, 8, -12, 14],\n [11, 10, -3, 14, -10, -12, -8, 1, 5, 2],\n [6, 12, -7, 0, 13, 5, 0, 8, -7, 10],\n [-4, 10, 6, 7, 8, -5, 3, -6... | 8375235001 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[9, -5, -10, -1, 9, 13, 6, -2, 4, -7],\n [-3, 5, 4, 4, -9, -7, -5, 6, 2, -14],\n [4, -3, 13, 7, -13, 2, -8, -1, -1, -3],\n [1, 3, -7, -13, -4, -14, -5, 3, 1, -13],\n [8, 2, 1, 4, -10, 13, 8, -9, 9, 2],\n [1, 1, -8, 1,... | 55411409936 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[9, 0, 2, 2, 0, 5, 12, 4, 2, 7],\n [0, -1, 4, 0, -4, 6, 6, 0, -1, -13],\n [2, 4, -5, -6, 4, 9, 1, -6, -2, -8],\n [2, 0, -6, 2, 0, -5, 6, -4, 5, -6],\n [0, -4, 4, 0, -4, -4, 2, -6, -4, -4],\n [5, 6, 9, -5, -4, -7, 4, ... | 3768466609466 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[6, -8, -6, -8, 12, 6, -12, 9, -3, 8],\n [-11, 2, 14, -12, -4, -7, -13, 10, -1, -11],\n [1, -1, -8, -5, -3, 8, 13, -7, 8, -4],\n [5, -2, -3, -8, 6, -3, -5, -8, 4, 11],\n [12, -8, 8, 3, 9, 8, 10, -3, -11, 10],\n [-... | -36483882086 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[-5, -4, -10, 7, 1, -6, 6, 1, -6, 2],\n [-3, 0, -5, -11, 2, 3, 3, -5, -4, 6],\n [-14, -5, -12, 12, -9, 2, -3, -4, 2, -12],\n [-6, 3, 13, -9, -12, -9, -4, -4, -8, -2],\n [-2, -8, -1, -13, -12, -11, -7, 6, -14, -6],\n [... | 10945103852 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[13, 11, -2, 5, -5, 14, -6, -2, -8, 3],\n [7, -1, -11, -7, -3, -7, 1, -14, 9, -5],\n [-8, -1, 2, 4, -10, 4, -12, -14, -7, -6],\n [-10, -14, 2, 10, -1, 2, -6, -12, -12, -2],\n [5, -10, -9, -1, -9, 11, 14, 14, 10, 2],\... | 4279870048 | MATH |
[
{
"content": "Find the value at position (7, 2) of the 7th power of the matrix:\n[[4, 5, 2, -1, -10, -6, -6, 8, 10, 4],\n [5, 9, -8, 0, 8, -10, -8, 8, -12, -3],\n [2, -8, 13, -8, 8, 2, 1, 6, 4, -2],\n [-1, 0, -8, -14, -8, 0, 10, 2, -5, 2],\n [-10, 8, 8, -8, -14, -2, -3, -4, 6, 4],\n [-6, -10, 2, 0, -2, 2, 8, 4,... | -11474938134 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[-13, -2, 2, 5, 13, 1, -6, -11, 6, -6],\n [-2, 7, -4, 2, -2, 6, 12, 2, -4, -2],\n [2, -4, -12, -4, 9, 1, -8, 2, -2, -2],\n [5, 2, -4, -5, -6, 2, -10, -2, 0, -12],\n [13, -2, 9, -6, -9, 0, -4, -1... | 14578754028 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the value at position (6, 7) of the result:\nA =\n[[6, -14, -13, 10, -5, -4, 11, -12, 9, 11],\n [-7, 0, -10, -7, 3, 3, -3, -11, -7, -13],\n [5, 9, -12, -7, -3, -13, 2, -1, -1, -9],\n [-7, 10, -5, 9, 3, -14, -8, -8, -2, 1],\n [-3, 14, 4, -9, -8, 10, 2, 14, 4,... | 190912907 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[-7, -6, 4, -3, -2, -5, -6, -6, -12, 12],\n [-6, 14, 12, 0, 1, -2, 7, 1, 4, -10],\n [4, 12, 13, 6, 4, 1, -4, -10, -12, -4],\n [-3, 0, 6, 3, 0, -10, -10, -2, 12, 2],\n [-2, 1, 4, 0, -3, -1, 0, -6, 11, 0],\n [-5, -2, 1,... | 17187782507071 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[3, -11, 14, -3, 6, -10, -11, 4, 4, -10],\n [0, -3, 11, -2, -9, 14, 2, 12, 5, -5],\n [-1, 0, -5, -9, 14, 1, -13, -5, -10, 12],\n [-6, 4, 4, -6, 1, 14, 4, 5, 13, 10],\n [-11, -10, 3, -7, -2, -6, -5, -11, 4, -11],\n [14, -2, 8, 2, 12, -4, -13, 11, -10, 10],\n [-2... | 327124635 | MATH |
[
{
"content": "What is the value at position (10, 1) of the matrix A^7 where A is:\n[[-7, -13, -4, -7, 14, -2, -14, 14, 3, -10],\n [-14, -3, -10, 6, 1, 8, 3, -13, 0, 13],\n [7, -4, 14, -5, -12, -2, -2, 9, -12, -5],\n [-11, -1, 14, 8, 2, -14, 10, 0, 13, 7],\n [6, -13, 3, -8, 7, 13, -2, 9, -12, -12],\n [-2, 6, 11,... | 311343787 | MATH |
[
{
"content": "Find the sum of all entries of the 6th power of the matrix:\n[[12, 5, -8, 8, -11, 2, 9, -11, 3, 5],\n [-7, -7, 6, 1, 0, 3, 8, 4, -9, -6],\n [14, 1, 6, -6, 5, 10, 2, -11, 0, -4],\n [-1, 2, 13, -2, -6, 9, 1, -7, -1, 0],\n [-8, 10, 12, -4, 14, -12, -8, 7, -10, -6],\n [5, 4, -2, 12, 4, 1, -13, -14, -1... | -658855202 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[-12, -13, -1, -14, -9, -8, -13, -13, 0, 6],\n [-10, -2, 4, 4, 0, -14, -12, 10, 3, 2],\n [10, 6, -7, -4, 5, -7, 13, 6, -9, -9],\n [-9, -13, -5, -5, -6, 8, -12, -13, -11, -7],\n [-6, 11, -13, 1, -9, -7, -12, -4, 10, 5... | 21191312135 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[8, 9, 11, 0, 11, 2, -2, -4, -10, -4],\n [9, -13, 2, 6, 3, -10, -2, 2, 0, -4],\n [11, 2, 6, 2, -11, -6, 5, 2, -6, -5],\n [0, 6, 2, 9, -2, -8, -3, 4, 0, 2],\n [11, 3, -11, -2, 4, -6, 6, -12, -3, 6],\n [2, -10, -6, -8, ... | 6548289217 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[8, -8, -3, 2, 1, 0, -2, 0, 2, 0],\n [-8, 12, -5, -6, 2, -6, 3, -2, 10, 10],\n [-3, -5, 3, 0, -8, -10, -10, 0, 8, 11],\n [2, -6, 0, 8, 0, 0, 1, -2, 2, -2],\n [1, 2, -8, 0, 5, -2, 2, 6, 0, 0],\n [0, -6, -10, 0, -2,... | 2405286718830 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[6, -3, 10, -12, 1, 11, 6, 0, 8, -14],\n [-3, 2, 0, 4, -10, 8, 3, -2, 0, 6],\n [10, 0, 10, 4, 9, 0, -4, 10, 2, 0],\n [-12, 4, 4, 1, 9, -4, 2, -1, 5, -6],\n [1, -10, 9, 9, -9, -8, -6, 4, -5, 0],\... | 573411764400 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[8, 6, -3, -9, -8, -4, 9, 6, -4, 2],\n [6, -5, 3, -10, -4, 0, -3, 8, 6, -10],\n [-3, 3, 9, 4, -6, 0, 7, -6, -2, 1],\n [-9, -10, 4, 4, -8, -4, 6, -4, -2, 0],\n [-8, -4, -6, -8, -7, -10, -1, 3, 10, 6],\n [-4, 0, 0, -4, -10, -2, -10, 2, 9, 4],\n [9, -3, 7, 6, -1, ... | 260549107995 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[-3, 2, -8, 6, 0, 6, 11, -4, 3, -3],\n [2, -12, 2, 6, 0, -2, 4, 0, -2, -2],\n [-8, 2, -7, 3, 4, -1, 1, -3, -12, 6],\n [6, 6, 3, -2, -4, 2, -1, 4, 0, 5],\n [0, 0, 4, -4, -7, -2, 2, -1, 5, 4],\n [6, -2, -1, 2, -2, -3, -... | 3402517906 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -10, -4, -1, 2, -14, 6, -5, -7, 1],\n [-10, -8, 6, -1, 5, 6, 5, 7, -12, 0],\n [-4, 6, -9, 5, -4, 0, -4, 0, -2, -7],\n [-1, -1, 5, 1, 4, -2, -1, 0, 6, -8],\n [2, 5, -4, 4, -10, -2, 4, 1, -6,... | 4623091513 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the value at position (9, 1) of the result:\nA =\n[[3, 5, 8, 13, -7, -10, 6, 5, 10, -3],\n [1, 11, 5, 4, 10, -8, 10, -11, 4, -5],\n [-7, 1, -11, -5, 4, 1, -3, 5, -13, 13],\n [-4, 5, 8, -2, -12, 2, -5, -7, -9, -1],\n [4, 9, 7, -14, 10, -4, 10, 10, -1, -2],\n ... | -38162530 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[8, -1, -10, -7, 3, -9, -10, -5, 3, 12],\n [-2, 8, 5, -9, 6, -11, -2, 3, -2, -2],\n [-8, -10, 14, -12, -9, -7, 12, 11, 11, -3],\n [-13, -4, 11, 13, 5, -12, 8, -5, -7, -7],\n [-1, -11, 0, -5, 3, 7, 0, 4, 9, -12],\n [-13, -2, -2, 10, -6, 10, -12, -13, -1, 1],\n [... | 425516596 | MATH |
[
{
"content": "Find the sum of all entries of the 7th power of the matrix:\n[[-9, 8, 0, -11, -3, -12, 1, -10, 0, -2],\n [8, 13, -1, 3, -14, -6, 8, -2, 0, 4],\n [0, -1, 7, -2, -5, -8, -2, 1, -10, 2],\n [-11, 3, -2, 13, 3, 4, -3, -2, 2, 2],\n [-3, -14, -5, 3, 10, -6, -10, 2, -1, 0],\n [-12, -6, -8, 4, -6, 14, 6, 8... | 13629033147 | MATH |
[
{
"content": "What is the value at position (7, 4) of the matrix A^8 where A is:\n[[8, -6, -13, 5, -13, -7, 3, 9, 7, -8],\n [-4, 14, 7, 13, 10, 5, -14, 10, 1, 1],\n [14, -5, 9, 2, 14, -5, -9, -1, 11, 13],\n [13, 0, -11, 12, -13, 4, 13, -2, -3, 10],\n [6, 8, -2, 0, -13, -7, -12, -14, 14, 9],\n [-4, 12, -6, 9, 2,... | 64207142510 | MATH |
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