messages list | ground_truth string | dataset string |
|---|---|---|
[
{
"content": "For the matrix power A^8 where A =\n[[-5, 8, -2, 8, -4, 3, 1, 2, -13, 4, -4, -2],\n [8, 12, -6, -1, 16, -9, -10, 12, -7, 10, 4, -2],\n [-2, -6, 14, -1, 11, 9, 0, -2, -2, 2, -4, 4],\n [8, -1, -1, 5, -3, 4, -8, -2, 6, 5, 0, -2],\n [-4, 16, 11, -3, -4, 8, -4, -12, 6, 4, 12, 0],\n [3, -9, 9, 4, 8, 14,... | -437823650800 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[-2, -15, 16, 14, -16, -2, -2, 3, -10, -5, -4, -12],\n [-11, -12, -11, -11, -6, 10, -1, -14, 5, 15, 8, 1],\n [2, 13, 10, 1, -4, 14, -14, 14, 7, 5, 16, -2],\n [-3, -2, 12, 9, 5, -13, 16, -12, 11, 15, 12, 7],\n [13, -8... | 157838678809648 | MATH |
[
{
"content": "Find the sum of all entries of the 8th power of the matrix:\n[[11, 14, -13, 11, 10, 14, -2, 12, -4, 6, -1, 0],\n [14, -15, 2, 2, -6, -1, 2, 1, -4, -16, -5, 10],\n [-13, 2, -13, 7, -6, -14, 10, 4, -6, 3, 4, 6],\n [11, 2, 7, 7, -6, 1, 0, -2, 11, 10, 6, 12],\n [10, -6, -6, -6, 10, 8, -5, -7, 4, 7, 6,... | 138005323909096 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[-6, -9, -13, -5, 15, -5, 8, 7, 3, -10, 15, -11],\n [2, 1, -5, -7, 6, 1, 4, -4, -15, -15, 1, -7],\n [15, 8, 7, 4, 9, -12, -11, 15, 15, -9, 1, -16],\n [7, 0, 1, 3, 9, 13, 10, 6, 9, -12, -3, 15],\n [-13, 5, 16, -4, -9, -8, 11, -16, -2, -10, 0, -5],\n [12, -3, -4,... | -21759290949682 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[-12, 11, -2, 11, 7, 9, -9, -1, -10, 0, 14, -10],\n [-14, 1, 10, 0, 15, -6, -5, -5, -5, 3, -14, 14],\n [-12, 3, -16, -6, 14, 7, -2, -15, 12, 5, -6, 14],\n [3, -2, 0, -13, 14, 12, 13, -12, 12, 3,... | 104761941805843 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 9th power of the matrix:\n[[5, 2, 6, 2, 8, 0, -4, 3, 1, -4, -3, 4],\n [2, -9, -10, -2, 4, -10, 4, -1, 6, 12, 6, -6],\n [6, -10, 13, -8, -6, 6, -8, 0, -2, 5, -14, -4],\n [2, -2, -8, 15, -4, -8, -10, 2, 1, 8, -2, 3],\n [8, 4, -6, -4, -1, -2, -4, ... | 1110471176813948 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[9, 2, 0, -4, 11, 6, -10, 0, 8, 1, -2, 10],\n [2, 15, 0, 8, 6, -2, -5, -4, 0, 3, -3, -16],\n [0, 0, -3, -10, -2, -5, 0, -10, 6, 7, -7, -8],\n [-4, 8, -10, -7, 4, 12, -4, 5, 8, 2, -2, 7],\n [11, 6, -2, 4, -6, 4, -2, 6,... | 835414395153 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[-6, -6, 2, -4, 4, -9, -8, -4, 4, -14, -2, -3],\n [-6, -9, -5, -10, 4, 5, -3, 10, -4, -8, -4, 2],\n [2, -5, 1, 0, 6, 0, 4, -6, 0, 2, -2, 3],\n [-4, -10, 0, 2, 4, -6, -2, 5, -2, 1, -1, 12],\n [4, 4, 6, 4, -12, 3, -11, -2, 9, 10, -14, -4],\n [-9, 5, 0, -6, 3, -12... | 8903122116027 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[-14, -4, -2, 14, 12, -2, -6, 0, -2, -8, -6, 8],\n [-4, -7, -10, -8, 6, 8, 3, -6, 6, -2, -3, 8],\n [-2, -10, 16, 2, -6, 5, 0, -10, 15, 4, -3, 4],\n [14, -8, 2, -3, -5, 10, -4, -13, -8, -4, -3, 12],\n [12, 6, -6, -5, -12, -8, 0, -6, -12, -1, 3, -2],\n [-2, 8, 5,... | 3785013707837221 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the value at position (9, 10) of the result:\nA =\n[[-13, -5, 10, -3, -1, 12, -5, -2, -16, 11, -9, 15],\n [8, -5, -11, 14, -8, 8, 3, -2, 9, -6, 10, 4],\n [-11, -6, 14, -6, -9, 2, 15, 9, -1, 16, -7, 6],\n [-13, 2, 2, -3, 16, 1, -9, -7, 14, 8, 8, -14],\n [-2, ... | -140490519652 | MATH |
[
{
"content": "Find the value at position (11, 6) of the 7th power of the matrix:\n[[2, 1, 15, -11, 0, -5, -15, 3, 3, 15, -14, 9],\n [-5, -14, 11, -8, 9, -11, -12, -8, 11, 9, -16, -13],\n [-4, 4, 1, 3, -13, 15, 10, 8, -10, 13, 6, 12],\n [4, 16, 1, 10, -3, 14, -9, -14, -6, 6, -12, 13],\n [-1, -3, -10, 16, -15, -1... | -6912057411 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[-1, 15, 12, -11, 5, -8, -7, -3, 3, -12, -10, -3],\n [-2, 0, 3, -1, 4, -6, -13, 8, -15, -15, 10, 14],\n [-9, -9, -12, 5, -12, -11, -10, 1, 8, -14, 8, 4],\n [14, -1, 5, 12, -5, -16, 9, -7, 8, 8, -13, 1],\n [-9, -10, 0, -11, 4, -15, -4, 15, -4, 12, -12, 9],\n [15... | 5704791770287 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[8, -11, 2, -6, 8, -7, 2, 0, -6, 14, -8, -2],\n [-11, -5, 14, 12, -2, 0, -6, -7, -2, -12, 11, -12],\n [2, 14, -15, 0, -2, -8, -3, 7, 7, 0, 0, 12],\n [-6, 12, 0, -2, -5, -8, 10, 6, 6, -3, 6, 2],\n [8, -2, -2, -5, -... | 12921802271895 | MATH |
[
{
"content": "Find the sum of all entries of the 8th power of the matrix:\n[[7, -13, 0, 7, -16, -15, -11, -3, 4, 8, -9, 10],\n [-3, -13, -9, 10, 2, 13, 11, 10, -14, 11, 2, 10],\n [6, 2, -4, 13, -9, 12, -11, 0, 12, -15, 16, 14],\n [-5, 14, 9, 15, -14, 3, -15, -4, 12, -11, -9, 9],\n [-7, -16, -15, -16, -13, -14, ... | 38480808393844 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[13, 12, 3, 6, -4, -4, 5, 0, 4, -6, 6, 3],\n [12, -7, 6, -14, 4, 2, -6, 2, 6, -4, -10, 2],\n [3, 6, 2, 9, 0, -5, 5, 3, -4, -11, -6, 7],\n [6, -14, 9, 10, 8, -5, -2, 7, 4, -6, 14, 12],\n [-4, 4, 0, 8, 1, -10, 4, -2, -15, -10, 0, 10],\n [-4, 2, -5, -5, -10, 13, 6... | 292115867174821 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[16, -13, -9, -6, -15, 5, -13, 8, -2, -5, 16, 15],\n [-11, -16, 3, -12, -15, -3, 0, 1, 0, 14, 14, 2],\n [15, 0, 7, -13, -12, -16, 9, -14, 6, -4, 5, 14],\n [-9, 13, -5, 5, -2, 13, 7, 8, -15, -16, 3, 9],\n [-9, 2, 14, -2, -15, -15, 12, 16, -7, 4, 4, -4],\n [-1, 2... | 1149905726863 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -8, -13, -2, 12, -7, 16, -10, 0, -13, -7, -16],\n [3, -10, -8, 15, 11, 11, -15, -13, 0, -11, -9, -5],\n [2, 12, 15, 11, -12, -5, -12, 16, 14, 8, -10, 8],\n [12, -6, 4, 6, -11, 6, -7, -12, 1... | 44091802490103 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^9 where A is:\n[[-13, -12, -10, -1, 9, 3, -13, 15, -8, -14, 15, -15],\n [11, -12, -3, -7, 15, 11, -16, -14, 8, 13, 13, -2],\n [14, 8, 6, 9, 5, -1, 0, 10, 0, 0, 3, -15],\n [6, 11, 9, -5, 0, 11, -6, -6, -2, 9, 12, 9],\n [6, -6, -13, -7, 16, -13, -9, 5, ... | 640967660173127 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[16, -1, -9, -14, 2, -10, -2, 1, 1, -12, -9, 4],\n [-1, -12, -2, -6, -6, -4, -1, 0, -12, 11, 4, 10],\n [-9, -2, -10, -8, 0, 9, 3, 1, -3, 9, 2, -10],\n [-14, -6, -8, 2, 0, -12, 3, 0, 2, -1, -2, 2],\n [2, -6, 0, 0, 8, 4... | 83805417012942 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[-16, -2, 4, -2, 2, -6, 3, 6, 13, -13, -2, -10],\n [-2, 6, -12, 5, 4, -1, -4, 7, -6, 2, 14, -1],\n [4, -12, 0, -10, -10, 4, 1, 9, -5, -11, -4, -1],\n [-2, 5, -10, -6, -4, -1, -12, -2, -14, -6, -... | 65168892462886 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the value at position (8, 6) of the result:\nA =\n[[4, -1, -2, -8, -11, -13, -3, -11, -6, -11, -10, 4],\n [-1, 9, -2, 3, 4, -5, -13, 4, 3, -2, -2, -2],\n [-2, -2, -15, 2, 14, 9, -5, -2, 12, -13, 3, -10],\n [-8, 3, 2, 13, 2, 6, -6, -8, -12, 2, -4, -4],\n [-11... | -188959982203738 | MATH |
[
{
"content": "What is the value at position (2, 1) of the matrix A^7 where A is:\n[[12, -5, 3, 0, 2, 14, 10, 6, 0, -2, 8, -5],\n [-5, 6, 14, 4, 10, -1, -6, -2, -4, 7, -2, 0],\n [3, 14, 10, -8, -6, 7, -12, 4, -2, -4, 10, -1],\n [0, 4, -8, 11, -11, -3, -6, -5, -10, -2, 4, -10],\n [2, 10, -6, -11, -1, -3, -4, -5, ... | -2658351939 | MATH |
[
{
"content": "Find the sum of all entries of the 9th power of the matrix:\n[[-11, -16, 3, 1, -8, 15, 0, 2, -4, -16, -7, 9],\n [16, -9, 3, -15, 11, 12, 8, 9, -9, 13, -16, 11],\n [13, -4, 4, 4, -6, 10, -12, -4, -5, 16, 13, -14],\n [6, 14, -11, -6, -11, 1, -16, 1, -6, -11, -12, 7],\n [-15, -15, -5, -15, 12, 16, -1... | 75986791523601 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^9 where A is:\n[[12, -15, -1, -5, 11, 9, 15, -13, -12, 0, 3, 12],\n [8, 1, 5, -9, -7, 0, 3, 10, -15, 12, -11, 3],\n [2, -6, 1, 5, -3, -11, 4, -9, 1, 5, -11, -8],\n [-1, -6, 4, 6, 3, 0, 14, 1, 12, 15, -9, -8],\n [-11, -12, -4, 8, 14, 0, 9, 3, -11, 15, ... | -636244215115724 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[6, 1, -4, 3, -4, 0, -2, -11, 0, 6, 8, 0],\n [1, -12, 4, -12, 4, -3, -8, 4, -15, -14, 0, 6],\n [-4, 4, -6, 2, 12, 10, 6, 0, -12, 0, 4, 0],\n [3, -12, 2, 4, -7, 14, 0, -14, -6, -7, 6, 3],\n [-4, 4, 12, -7, 8, 1, -10, -1, 10, -8, 10, -8],\n [0, -3, 10, 14, 1, -7,... | 11659631888659 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[10, -2, -7, 10, 0, 5, -3, 11, -9, -9, 12, -16],\n [-8, -9, -13, 4, -12, 6, 6, -15, -14, -6, 11, -14],\n [-8, 15, -7, -5, 3, -5, -8, 8, -6, -8, -4, -4],\n [-10, -5, 6, 10, 11, 14, -5, -13, 3, -14, 12, -11],\n [-12, -5, 3, 8, 15, -14, -16, -16, -15, -4, 1, 4],\n... | -13210785144 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[12, 10, -11, 1, -12, -7, 5, 7, -10, 16, -5, 0],\n [3, -2, -8, -1, -9, 6, -10, 11, 14, -7, -2, -10],\n [5, 5, 4, 4, 9, -7, 8, -11, -2, 7, -1, -13],\n [1, -6, -4, -11, 16, 4, 14, 1, 0, -8, -2, 12],\n [-13, 7, -6, 7, -5, 14, -13, 3, -11, -12, -3, -2],\n [0, -2, 8... | -1989563488718 | MATH |
[
{
"content": "What is the value at position (4, 4) of the matrix A^7 where A is:\n[[2, -11, 4, -6, 4, 0, 8, 1, -6, -2, -6, 4],\n [-11, 7, -5, 4, -2, 6, 9, 2, 0, 12, -2, -10],\n [4, -5, -6, -10, -2, -2, 0, 13, 0, -6, 4, -5],\n [-6, 4, -10, -11, -3, -4, 16, -1, 4, 6, 8, 2],\n [4, -2, -2, -3, 14, -12, -4, 4, 2, -9... | -19134632743 | MATH |
[
{
"content": "Find the sum of all entries of the 9th power of the matrix:\n[[-2, -9, 12, 13, 8, -14, -16, 10, 7, 7, -14, -16],\n [-10, 5, -6, -13, 1, -6, 16, -15, 6, 8, -8, 3],\n [-8, -2, -2, 16, 5, -4, -3, -2, 16, -14, -10, -12],\n [9, -15, -16, -13, 11, -7, -2, 1, -5, -9, -16, -11],\n [-1, 4, -4, -11, 12, -15... | 51290416106389 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[-12, -12, 4, -6, 2, 0, 2, -3, -1, -1, 9, 4],\n [-12, 14, -6, 8, -5, -14, -4, -1, 8, -6, 0, -7],\n [4, -6, 4, 4, 2, 11, 6, -12, -3, -3, -8, -4],\n [-6, 8, 4, 15, 3, 4, 4, 12, -2, -9, -2, 4],\n [2, -5, 2, 3, -14, 4, -4, 1, 1, -2, -4, 0],\n [0, -14, 11, 4, 4, 14,... | 27846844830325 | MATH |
[
{
"content": "What is the value at position (8, 9) of the matrix A^8 where A is:\n[[-6, 0, 0, -1, 6, -5, 6, 2, 15, -16, -2, 7],\n [9, 7, -7, -11, -15, 1, 7, -5, 7, -9, -16, 8],\n [-7, -10, 12, 9, 15, 15, 16, 1, 5, -2, 6, -4],\n [5, 5, 12, -14, 2, -11, -3, 11, 14, 9, -11, -14],\n [-8, -14, 0, 10, -3, -13, -9, -6... | 184309544303 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the sum of absolute values of all entries of the result:\nA =\n[[8, 0, 10, -9, -12, 12, -11, -8, 1, 6, -9, 0],\n [0, -8, 3, 4, -7, -4, -10, -2, 11, 8, -2, -10],\n [10, 3, 4, -2, -4, -2, 6, 10, -2, 4, -1, -2],\n [-9, 4, -2, -6, -11, 14, 0, 6, -2, -8, 1, 0],\n... | 1731919932280668 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[10, 7, 5, 8, -10, 8, -4, 3, -8, -4, 8, 2],\n [7, -10, 2, -8, 10, 0, 8, -5, -2, -10, 7, 1],\n [5, 2, -15, -2, -4, -10, -2, -2, -10, -4, -8, 7],\n [8, -8, -2, -8, -3, -7, 4, 7, 2, -7, -2, -3],\n [-10, 10, -4, -3, 15, 0... | 126982449405835 | MATH |
[
{
"content": "Find the value at position (2, 11) of the 9th power of the matrix:\n[[-1, 0, -8, 5, -1, -6, -12, 2, -4, -3, -2, -10],\n [0, 7, -4, 10, 8, 14, 6, -1, -8, 0, -6, 4],\n [-8, -4, 6, -6, 15, 3, 4, 1, 6, -1, 7, 2],\n [5, 10, -6, -2, 8, -4, -1, -1, 6, 6, -8, 4],\n [-1, 8, 15, 8, 10, 8, -10, -2, -11, -6, ... | -66190357082425 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[11, -10, -1, 10, -3, -1, -2, 14, -2, -1, 4, 4],\n [-10, -3, 10, -10, 2, 4, 3, -5, 14, -7, -12, -7],\n [-1, 10, 14, 0, -10, -8, 4, 10, 6, 0, 1, -9],\n [10, -10, 0, -14, 4, 1, 0, -1, 1, 3, 8, -3],\n [-3, 2, -10, 4, -13, -2, 2, 9, -10, -... | 145161785774 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[10, 10, -6, -6, -16, -13, -16, -10, -8, -10, 2, -1],\n [1, -10, 8, 14, 6, 6, 16, -8, 2, 16, 15, -5],\n [-3, -4, -7, 16, 11, 4, 4, 12, 15, -2, 5, 8],\n [1, -2, -1, -4, 9, -7, -14, -7, 9, 0, -12, -1],\n [5, -14, -10, 4... | 1165505064005 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[1, 2, -14, 10, 6, 2, -4, 11, -1, -4, 2, -4],\n [2, -3, 12, -2, 1, -12, -1, -4, 16, -10, -1, 3],\n [-14, 12, -3, -5, 2, 6, 0, 8, -6, 1, -2, 6],\n [10, -2, -5, 9, 2, 10, -13, -2, 2, -10, -4, 3],\n [6, 1, 2, 2, -2, 3, 1, 0, -4, -1, -8, -6],\n [2, -12, 6, 10, 3, 1... | -120847180000 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[-16, 0, 1, 1, 6, 10, 14, -6, -6, -6, 11, 4],\n [0, -1, 2, 8, 0, -6, -4, 9, 0, 3, 14, -10],\n [1, 2, -5, -7, 6, -4, 0, -4, 4, 6, -4, 14],\n [1, 8, -7, 11, -10, -10, -10, 9, 10, -11, 6, -3],\n [6, 0, 6, -10, -12, 4, 8,... | 10854119200466 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[-3, 6, 10, -4, 5, -6, -2, 12, -2, 8, 4, -8],\n [8, 11, 6, 12, 13, 8, 3, -16, 7, 12, 8, 2],\n [2, 16, 6, 11, -14, -5, -9, -11, -15, 4, -6, 16],\n [-4, -2, -5, 6, 1, 8, 12, 3, 2, -3, 13, -7],\n [-9, -15, 5, 7, -11, -12... | 59412795426581 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 2, 1, 16, -8, -1, 3, 6, -11, -5, 5, -1],\n [7, 7, -7, 13, -4, -7, 9, -12, 2, 0, -16, 15],\n [-16, -6, 0, 5, -3, 6, 1, 2, 10, 1, 0, 9],\n [13, -1, 0, -7, 13, 13, 9, -10, -12, 4, -9, 12],\n [... | 54346943760372 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[-3, 0, 4, -8, 8, -12, 4, -8, 4, -4, -4, 2],\n [0, -12, -10, 2, 1, -11, 2, -12, -11, -10, -1, -5],\n [4, -10, 13, -2, 9, 2, 0, 10, 6, 4, -2, 6],\n [-8, 2, -2, 12, -6, 1, 16, 2, -11, -10, 6, -2],\n [8, 1, 9, -6, 4, 6, ... | 2945497269754 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[-4, -10, -3, 2, -11, -3, 9, -5, 7, 5, 4, 13],\n [-13, 12, -6, -1, 8, -13, -7, -1, -13, 1, 2, 15],\n [-4, 2, -8, 15, 7, 9, -13, 13, 16, 16, 14, -2],\n [-5, -6, 6, -4, 10, -7, 5, 6, -8, -15, 3, -9],\n [11, 3, -10, -8, 15, 15, 12, 10, 10, -2, 15, -15],\n [-2, -6,... | -486590797951 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[11, -4, 10, -6, 6, 10, -16, -6, 10, -4, 4, -2],\n [-4, -6, -9, -6, -4, 2, 2, -6, 4, 12, -5, -14],\n [10, -9, 9, -6, 10, -12, 3, 6, -2, -7, 9, 7],\n [-6, -6, -6, -8, 3, -1, -8, -3, -6, 4, 12, 0],\n [6, -4, 10, 3, 12, -4, 2, 2, -2, 4, -12, 12],\n [10, 2, -12, -1... | 6227517342568541 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[-6, 2, 6, -8, -4, 0, -9, 0, -1, -8, -1, -2],\n [2, 3, 2, -6, -7, -9, 3, 1, 1, 6, 14, -7],\n [6, 2, 0, -12, -10, 7, 5, 6, 2, -2, 6, 2],\n [-8, -6, -12, 2, 3, 6, -12, -5, 2, -12, 10, 0],\n [-4, -7, -10, 3, -14, -7,... | 20027958171889 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[14, -11, -16, -6, 4, 1, 7, -11, -9, 0, 14, 13],\n [13, -15, 12, -1, -12, -11, 1, -4, -13, -9, 16, -6],\n [-10, 8, 2, -14, -16, -6, 11, -10, -3, 4, -11, 16],\n [-10, 14, 10, 6, -16, 9, -14, 3, 4... | 2639564755679 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[12, -4, -2, -5, -4, -8, -10, 1, 14, 13, 4, 8],\n [-4, 9, -6, 4, -6, -10, 6, -3, 2, 0, 0, 0],\n [-2, -6, 12, -11, -5, -6, 2, 2, -4, 0, 10, 4],\n [-5, 4, -11, -8, -7, -10, -4, 6, -6, -3, -6, 0],\n [-4, -6, -5, -7, -3, 0, -2, 6, -10, -3, 0, 6],\n [-8, -10, -6, -1... | -6196034753 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the value at position (2, 10) of the result:\nA =\n[[0, -4, -14, -15, -8, -6, 0, 10, -4, -4, 2, 4],\n [-4, -6, 2, -6, 2, -9, 6, 12, 0, 1, -6, 7],\n [-14, 2, 13, -6, 1, -8, 14, -9, 10, 13, -10, 4],\n [-15, -6, -6, -8, 6, -4, 5, 6, -2, 0, 4, 4],\n [-8, 2, 1, 6... | 63762420925149 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 2, 10, 10, 3, -8, -10, 0, -6, -2, -6, 2],\n [2, 14, 12, 2, -8, 8, -2, -9, 4, 2, 8, -4],\n [10, 12, 12, 2, -2, 2, 0, 8, -3, 6, 4, 4],\n [10, 2, 2, 8, -3, -4, -1, 8, -14, 8, -1, -11],\n [3, -8... | 2888096799425074 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[-10, 2, 4, -9, 4, 0, 8, 2, -3, 2, 14, 6],\n [2, 1, -2, -2, 8, 2, 6, 2, 8, -13, -12, 2],\n [4, -2, -15, 4, -2, -4, -1, 8, 2, 0, -10, 5],\n [-9, -2, 4, -4, -6, 4, 1, -2, 6, 0, -5, 6],\n [4, 8, -2, -6, 7, 6, -1, -12, -1, -16, 4, -6],\n [0, 2, -4, 4, 6, 2, -6, 3, ... | 163710768759763 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the value at position (4, 5) of the result:\nA =\n[[-3, 0, -2, 10, 0, -15, 8, -9, -7, 11, -1, 0],\n [-16, 5, -13, 10, 4, -6, 14, -13, 6, 7, -6, -5],\n [-7, 13, -2, -10, 15, -10, -11, 13, -2, -11, 10, -13],\n [-2, -1, -2, 4, 6, 8, -8, 15, -12, 12, 4, -16],\n ... | -6890195550131 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[14, 1, 10, -5, -2, -4, -4, -4, 10, 2, -4, 2],\n [1, -16, 2, 1, 13, 0, -10, -8, -8, 0, 2, 10],\n [10, 2, 3, -5, -4, 9, 11, -10, 2, 3, 6, -2],\n [-5, 1, -5, 14, 10, -4, 11, 0, 1, -4, 6, -14],\n [... | 68439215809098 | MATH |
[
{
"content": "Find the sum of all entries of the 7th power of the matrix:\n[[8, 10, -7, 7, -5, -4, 12, -15, 1, 11, 6, 5],\n [10, 5, 12, -4, 2, 0, -7, 8, 10, 8, 6, 2],\n [-7, 12, 1, -11, 3, -6, 4, -4, 4, 0, -12, 2],\n [7, -4, -11, -9, -4, 6, 3, -8, 12, 5, -3, 6],\n [-5, 2, 3, -4, -16, 4, 3, 4, 11, 10, 2, -2],\n ... | 173196998478 | MATH |
[
{
"content": "Find the value at position (11, 7) of the 9th power of the matrix:\n[[15, 6, -4, 1, -9, 0, -9, 10, 8, 0, 6, 2],\n [6, 9, -5, 10, -8, -12, -8, 2, -6, 12, -2, 6],\n [-4, -5, -5, -8, 0, 8, -12, 9, 12, -8, 9, 1],\n [1, 10, -8, 16, -7, 4, -11, -4, 0, 0, -5, 0],\n [-9, -8, 0, -7, 4, -14, 6, 8, -8, 0, 1,... | -61808170022166 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[5, 7, 5, 6, 11, -15, -13, 4, 9, -2, -2, 5],\n [-16, 9, -7, 3, -16, -5, 7, 9, -15, 3, 2, 8],\n [-16, 14, -13, -14, -6, 2, -8, 3, -8, 1, 15, -13],\n [13, -6, 2, 1, -12, 2, 3, -15, 2, -6, -4, 3],\n [-15, -8, -10, -1... | 220521547654 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 9th power of the matrix:\n[[-13, -5, -12, 8, 0, 8, 4, -3, -8, -8, 4, -7],\n [-5, 14, 6, -2, -8, 6, 2, 0, 8, -8, 2, 8],\n [-12, 6, -4, 5, 1, 8, 10, 6, -3, -4, -8, 6],\n [8, -2, 5, -4, 3, 0, -6, 2, -7, -4, -1, 2],\n [0, -8, 1, 3, -9, 8, 12, -8, -... | 4850501897003658 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^9 where A is:\n[[-13, -3, 0, -3, 4, 4, -10, 0, 2, -1, -4, 3],\n [-3, -13, 10, 1, 4, -2, 6, 2, -7, 1, 3, -1],\n [0, 10, -7, 6, 4, 1, -11, 12, 0, 0, -4, 0],\n [-3, 1, 6, -11, -10, 4, 10, 1, 2, -4, -6, 14],\n [4, 4, 4, -10, -7, 6, 2, 8... | 2339993226810520 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[16, -10, -8, -10, 3, 10, -4, -6, 6, 1, -5, 0],\n [-10, 5, 0, 2, -12, -11, -1, -10, -4, 14, -3, 12],\n [-8, 0, 7, 4, -8, -10, -2, -6, 0, -2, -8, 13],\n [-10, 2, 4, 16, 0, -8, 4, -10, -8, 2, -14, -11],\n [3, -12, -8, 0, 5, -7, 2, -8, 8, 4, -1, -6],\n [10, -11, -... | 243034006024409 | MATH |
[
{
"content": "Find the value at position (3, 12) of the 8th power of the matrix:\n[[-6, 10, -13, 9, 9, -2, -4, 5, 4, -6, -15, -6],\n [9, -2, -4, -2, 2, -6, -5, 6, -16, 13, 6, 8],\n [4, 11, -6, 7, -5, -14, 16, -4, -15, -1, 3, 15],\n [6, -7, 6, 0, -9, -13, -9, 6, 16, -3, 4, -13],\n [9, 1, -16, -14, 10, -1, 6, 15,... | -7707462693 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-3, -9, -12, 3, -10, -12, 6, 6, 6, 0, 2, 12],\n [-13, -12, -7, -3, -13, -11, -6, 6, 3, 1, -3, -16],\n [6, 14, -3, -10, -11, 6, -4, 5, 1, 16, -6, -10],\n [12, -16, 8, 9, -2, 12, 8, -11, 10, -13, -13, 11],\n [4, -14, 0, 14, 8, 7, 6, -5, 7, 0, -12, -7],\n [-2, -3... | 35810116826 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[8, 3, 0, -3, 2, -3, -3, 0, 12, -5, 8, 8],\n [3, 5, 5, 4, -7, -7, 0, -2, 10, 9, -4, 6],\n [0, 5, 3, 11, 2, 6, -1, -2, 4, 10, -4, -4],\n [-3, 4, 11, -4, 8, 10, -6, -2, -4, 0, -2, 0],\n [2, -7, 2, 8, -1, 2, 4, 10, -10, -6, 4, -14],\n [-3, -7, 6, 10, 2, -14, 3, 4,... | 1447961062 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[4, -1, -4, 9, 3, -11, 7, -3, 0, 2, 2, -1],\n [-1, -15, -9, 4, -5, 6, -14, -4, -2, 6, 4, 11],\n [-4, -9, 14, -4, 4, -4, 3, 2, 2, 4, 6, -1],\n [9, 4, -4, 12, 12, 6, 4, 8, 0, -5, 12, 4],\n [3, -5, 4, 12, -15, -3, 9,... | 6681237706292 | MATH |
[
{
"content": "What is the value at position (5, 12) of the matrix A^9 where A is:\n[[-15, -2, -12, -6, -8, 7, 9, -2, 14, 4, -6, 2],\n [-2, 2, 1, -10, -2, -8, -4, 0, 10, 0, -3, 0],\n [-12, 1, -9, -2, -3, 0, -2, -4, -8, -2, 2, 8],\n [-6, -10, -2, 8, -3, 5, -2, -8, 2, -8, -9, 0],\n [-8, -2, -3, -3, -13, 6, 4, -4, ... | 58155639981142 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 2, -6, 1, -2, 13, -10, 6, 2, -8, -5, -13],\n [2, 13, -2, -11, 0, 4, 0, -6, -4, 10, -3, 6],\n [-6, -2, 0, 2, 13, 4, -5, 8, 3, 6, 9, 4],\n [1, -11, 2, -7, -4, 8, 0, -2, 4, -11, 6, 3],\n [-2, 0... | 72422889145851 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^9 where A is:\n[[-10, -2, 1, 10, 6, 12, 7, 8, 3, 4, -15, 3],\n [-6, -15, -2, 9, -14, 1, 3, 7, -1, 6, -7, 5],\n [3, -7, 9, 5, -5, -10, 16, 1, -6, -5, 15, -7],\n [14, -14, -5, -1, 12, -16, 11, -9, -1, 9, 5, 8],\n [7, -10, 4, -16, -15,... | 310863165522780 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 9th power of the matrix:\n[[4, 9, -6, -6, 13, -16, -2, 11, -12, -9, 5, 13],\n [-13, -15, 4, 16, -3, -1, 11, -8, -6, 2, 12, -8],\n [-10, 14, -14, -9, -8, -2, -9, 0, 15, 6, -16, -10],\n [-3, -7, 4, 16, -5, -4, 14, -2, -8, -11, -14, -3],\n [-3, 6,... | 2748062375389252 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[5, -2, 8, 4, 8, 4, -2, -4, -6, 4, -6, 4],\n [-2, 7, -10, -11, 6, 4, 0, -6, -2, 6, 7, -4],\n [8, -10, -2, -8, 2, -14, 0, 2, 1, 9, 2, 10],\n [4, -11, -8, 8, 0, 1, 8, 4, 8, -2, -4, 0],\n [8, 6, 2, 0, -14, -6, -14, 7, -... | 661834445727 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[-3, 0, 2, -10, -6, 0, -8, 4, -10, 0, -12, 0],\n [0, -16, 7, -7, 12, 0, 2, 8, 6, 0, -7, -2],\n [2, 7, -13, -2, -2, -13, -3, 7, -6, -11, -6, 0],\n [-10, -7, -2, 8, -2, 12, -4, 4, 2, 2, -10, 6],\n [-6, 12, -2, -2, 8, -1... | 95435005843225 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the value at position (1, 1) of the result:\nA =\n[[9, 0, 4, -3, -10, -1, 10, 12, 11, -10, 0, 0],\n [0, -2, 12, 0, 1, 8, -8, -11, -9, -1, 5, 4],\n [4, 12, 12, -7, -2, 0, 8, 2, -2, -10, 3, -6],\n [-3, 0, -7, -11, -2, -13, 8, -1, -2, 7, 6, -6],\n [-10, 1, -2, ... | 7857361884572 | MATH |
[
{
"content": "Find the sum of all entries of the 7th power of the matrix:\n[[3, 13, 6, -4, 4, -6, -2, -2, -3, 0, 2, 12],\n [13, 6, -5, -10, -15, -8, 5, 3, 2, 4, 8, 11],\n [6, -5, 9, -3, 8, -2, -8, -10, -2, -1, -6, -2],\n [-4, -10, -3, 1, 8, 2, 0, -2, 8, 6, 8, -12],\n [4, -15, 8, 8, -16, 0, 2, 3, 2, 4, -2, 8],\n... | -157860760793 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[0, 4, 12, -12, -2, -6, 0, -2, -8, -2, 0, 10],\n [4, 10, 0, -2, -7, -12, -6, -9, 0, -5, 3, 0],\n [12, 0, -9, 4, -2, -6, 2, 6, -4, -6, 8, 2],\n [-12, -2, 4, -13, -6, 2, -14, -8, -2, -3, 10, -6],\n [-2, -7, -2, -6, -15, -6, -1, 6, -7, -10, 6, 2],\n [-6, -12, -6, ... | 46409592116463 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^9 where A is:\n[[3, -7, -11, 13, -14, 3, -14, -1, -13, 0, 12, -13],\n [-7, -8, -6, -16, 14, 0, 1, -10, 9, 7, 16, 9],\n [12, 7, -5, 11, 9, 8, -2, 14, -9, 10, -13, -5],\n [14, 4, 3, 0, 14, -2, 15, -15, 11, 4, -4, 16],\n [10, 9, 1, -7, 2, -5, 7, -16, -8,... | -132293087661122 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^8 where A is:\n[[-14, -2, 7, -1, -10, -1, 11, -5, 8, 13, -9, -6],\n [13, -11, 13, -3, 11, -12, 4, -11, 7, -1, -10, 9],\n [4, 1, 0, 4, -11, 2, -15, 2, 5, -1, 8, -6],\n [-5, 11, -15, -5, 8, -15, 16, -4, 7, 3, 3, -5],\n [-9, 16, 14, 12, 1, 3, -9, 7, -16,... | -1148384761904 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[8, 6, -4, -6, 12, 6, -3, 0, 4, 6, -15, -1],\n [6, 0, 0, 5, -4, 8, -6, -3, 10, 3, -6, 8],\n [-4, 0, -16, -2, -8, -7, -10, 4, -2, 1, 8, 4],\n [-6, 5, -2, -7, -6, -6, 1, 4, 0, 12, 1, -2],\n [12, -4, -8, -6, 8, 8, 2, -11... | 3005425056584 | MATH |
[
{
"content": "Find the value at position (5, 12) of the 8th power of the matrix:\n[[-14, -4, 13, -3, 9, -10, 11, -9, -2, -12, 16, -14],\n [5, 5, 15, 6, 4, -13, -2, 4, 3, 3, 8, 14],\n [-13, 12, 13, -8, -12, 1, 16, -4, 16, -15, -5, 12],\n [12, 6, -12, 14, 6, -1, -9, -8, -15, 1, 2, -9],\n [0, -12, -9, -7, -14, -14... | 704013657625 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the sum of all entries of the result:\nA =\n[[-1, -5, 4, 4, 6, -12, 1, 0, -4, 1, 13, 8],\n [-5, 16, 4, 6, 12, -1, 10, -6, 4, 12, -5, -8],\n [4, 4, 6, -10, 4, -8, 8, -9, -7, -8, 2, 4],\n [4, 6, -10, 11, -8, 0, -4, -4, 0, 0, 7, -2],\n [6, 12, 4, -8, 3, -3, -2,... | 144354129089417 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[-6, 10, -10, -15, 6, 4, 6, -16, 12, 1, 16, -11],\n [-7, 11, -5, -13, 8, -10, 3, 6, -9, 0, 12, 9],\n [-7, -6, -2, 1, -13, 10, -12, -11, -7, 2, -5, 7],\n [-1, -8, -4, 1, 15, 2, 4, 4, -11, -15, -1... | 1346003809638 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[0, 11, 10, 16, 7, -16, -9, -15, 1, -2, -13, -2],\n [9, -4, -7, 10, 10, 7, 14, -7, -4, 2, -14, -2],\n [-8, -14, -13, 12, 12, 14, 5, 1, -15, -5, 5, 9],\n [8, 15, -8, -7, 15, -14, 13, -12, 13, -16, -8, -13],\n [3, 7, -4, -4, 2, 0, 3, -2, 16, 12, -9, 4],\n [-7, -1... | -22138116934441 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-6, -14, 14, 4, 12, 2, -10, -6, -14, 16, 11, 15],\n [-13, 0, 9, 0, -9, -8, -10, -16, -1, -15, -9, 5],\n [10, 1, -1, 9, 5, -16, 15, 5, 10, 16, 13, 2],\n [16, 8, -11, 12, -2, -5, -2, 14, -16, 3, 12, -6],\n [-8, -1, -1, 16, 2, 8, 7, 15, -14, -4, 13, 6],\n [13, -5... | 9386963144 | MATH |
[
{
"content": "Find the sum of all entries of the 8th power of the matrix:\n[[16, 4, 14, 13, 2, 0, -16, 8, -7, 16, -3, -11],\n [3, -5, 10, -6, -2, 11, -15, -3, -12, -7, -3, 1],\n [0, 11, 14, 16, -13, 6, 4, 8, -2, -3, -4, 16],\n [4, 7, 8, 6, -13, 4, 7, 9, 8, -9, -11, -14],\n [-1, -11, 4, -14, -16, -10, 7, 3, -9, ... | 5555183614182 | MATH |
[
{
"content": "What is the value at position (2, 2) of the matrix A^7 where A is:\n[[-12, -10, 6, -2, -6, -2, -8, -10, -5, -4, -6, -5],\n [-10, -15, -2, 5, -10, 9, -7, 4, -9, -10, -10, 2],\n [6, -2, 7, 0, 0, 4, -4, 6, -8, -5, -12, 8],\n [-2, 5, 0, 12, 8, 9, -2, -2, 4, -8, 4, -8],\n [-6, -10, 0, 8, 14, -12, -8, 1... | -92621258642 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[-3, -6, 4, 2, -3, 10, -6, 6, -4, 0, 4, 4],\n [-6, -12, 8, -6, 4, 12, -6, 0, 2, -2, -4, 9],\n [4, 8, -13, -4, -10, 8, -1, -8, 10, -7, 2, 0],\n [2, -6, -4, 9, 12, 4, -10, -3, 0, -15, 2, -1],\n [-3, 4, -10, 12, 10, 0, -4, 0, -10, -8, 2, -2],\n [10, 12, 8, 4, 0, -... | 10091719677771 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the value at position (3, 2) of the result:\nA =\n[[4, 9, -8, -11, 16, -2, 1, 6, -10, -3, -3, 3],\n [13, 12, -10, 13, 13, 9, -12, 8, 13, 2, 13, -9],\n [5, 13, 1, 6, 7, -1, -9, -4, -3, 3, 15, -9],\n [-15, 6, -15, 11, -12, 8, -16, 5, -10, 6, 7, 9],\n [-3, 14, ... | 553668169314 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[12, 12, 10, -5, -12, 13, 12, 6, -16, -12, -13, -6],\n [-3, 15, -4, 15, -8, 14, 0, -4, 13, 9, -6, -14],\n [2, 5, 5, 15, -10, 7, -8, 8, 5, 7, -10, 6],\n [-16, -12, 6, 4, -2, -15, 4, 1, 1, 1, -2, -6],\n [-5, -16, 15, -7... | 19468658217737 | MATH |
[
{
"content": "Find the value at position (11, 8) of the 8th power of the matrix:\n[[-13, -1, -6, 15, 5, -16, 9, -14, 15, 16, 16, -15],\n [5, -5, -15, -9, 0, -13, -16, -11, 5, -6, -15, 1],\n [-8, -11, -5, 4, 9, -7, -1, -2, 6, 4, -1, -6],\n [3, 4, -1, -6, 16, 5, 8, 16, -2, -16, -13, 0],\n [11, 15, -9, 2, 7, -14, ... | -573732966409 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[9, 6, 16, 4, -3, -4, 15, -5, -7, 5, 8, 12],\n [-10, 12, -1, -9, -8, 3, 2, -1, 12, 11, 0, -13],\n [13, 13, 14, 15, 1, -11, -14, -3, 0, 10, 9, -3],\n [7, 4, -16, 15, -6, 0, -14, 12, 2, 16, -12, -15],\n [-8, 8, 3, -... | 470554464122 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[-11, -10, 2, -4, -10, 8, 4, -4, -8, -1, -4, 0],\n [-10, -10, 5, 6, -8, -1, 9, 6, 2, -10, -8, -6],\n [2, 5, -15, 2, -6, 7, 10, -6, 6, -8, 2, -2],\n [-4, 6, 2, 9, 0, -10, -4, -12, -8, 5, 8, 14],\n [-10, -8, -6, 0, 4, ... | 96154710895434 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[-10, 0, 13, -13, -13, -2, 5, -6, 15, 2, -1, -7],\n [0, -11, 16, 3, -3, 11, -11, 2, -11, -12, -15, -11],\n [-3, -3, 13, 7, 13, -6, -3, 5, -14, 12, -9, -10],\n [7, -12, 3, -12, -11, 11, -2, 9, 4,... | 1553799651917 | MATH |
[
{
"content": "What is the value at position (10, 12) of the matrix A^9 where A is:\n[[-3, -9, 0, -2, -11, -10, 15, -8, 3, -15, 1, -15],\n [-2, -6, -14, -8, 6, -7, 7, 15, -13, -10, 12, 12],\n [-8, -15, -14, 11, 3, -13, 13, 14, 5, -8, -8, 14],\n [-1, 5, 14, -4, 11, -10, 8, -16, -6, 1, 14, -1],\n [13, 8, 11, 7, 4,... | -1803932115473 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 9th power of the matrix:\n[[7, 4, -2, 9, -7, -14, 12, -12, 7, -12, 15, 9],\n [10, -5, 15, -11, -4, 14, 1, 12, -7, -14, 1, 12],\n [9, 15, 10, -6, -11, 14, -9, 7, 1, -8, 5, -7],\n [-16, -14, 9, -10, 10, -2, 6, 4, -4, 15, 3, -12],\n [15, 11, 11, -... | 2635915010150257 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^9 where A is:\n[[-1, -12, -4, -16, 12, -15, 0, 7, 1, -9, 11, -13],\n [1, -9, 3, 0, -6, 1, 3, -13, 9, -4, 4, 7],\n [14, 2, 16, 6, -11, 9, -16, -5, -7, 9, 10, 10],\n [-16, -3, -3, 15, 15, 2, -9, -3, -12, 14, 15, 7],\n [5, 4, 16, -2, -... | 1788324263334112 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-8, -7, -7, -9, 2, -14, 6, -15, -2, -10, -12, 2],\n [14, -15, -4, -3, 9, -10, 4, -2, -4, 3, 9, -13],\n [3, 2, 14, 2, -15, 9, 5, 0, 7, -5, 5, 3],\n [-14, -2, -3, -7, 3, 6, -8, -7, -14, -5, 3, 8],\n [8, 11, -1, 4, -10, -5, 1, 1, -6, 15, 16, 16],\n [-2, 1, 5, -11... | 430211975659 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[5, 14, 4, -14, -6, -5, 8, 4, -10, 14, -6, -16],\n [-3, 6, -12, -12, -15, -11, 0, -12, -3, 11, -5, 16],\n [7, 1, -6, 8, 2, -13, -10, 1, -2, -2, -15, -10],\n [12, 8, 4, -5, -9, 4, 7, -15, 12, -4,... | 628780013967 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[-9, 10, 12, 16, -10, -13, 9, -4, -6, 8, 4, -15],\n [8, 15, -16, 16, -11, -4, 0, -1, 5, -10, -15, -16],\n [2, -1, 12, -9, 9, -6, -7, -13, 6, -15, 16, 15],\n [3, -4, -14, 12, 1, -11, -3, -13, 9, -5, 11, -11],\n [-13, -... | 140055257104199 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^9 where A is:\n[[5, 9, -8, -8, 10, 8, 2, 2, 4, 1, 2, 4],\n [9, -4, -4, -10, 3, 4, 12, -14, 0, 2, 2, -8],\n [-8, -4, -15, 0, -6, 4, -6, -3, -10, 2, -6, 6],\n [-8, -10, 0, -14, 4, -8, -8, 5, -8, 8, 8, 4],\n [10, 3, -6, 4, -10, -4, 4, ... | 3191391873943160 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[16, 7, -6, 8, 15, -16, 12, -6, 5, -5, -16, -1],\n [-1, -14, 13, -14, 14, -5, 13, 8, 6, 0, -16, 0],\n [1, -7, 16, -11, 4, 13, 9, -10, 4, 16, -14, -5],\n [16, 7, -10, -9, -10, -13, 5, 16, -6, -8, -2, 11],\n [13, 6,... | 2324198426925 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[11, 14, -15, 5, 1, 15, -11, -13, 13, -5, -9, 4],\n [14, 5, -3, -8, 16, -1, 1, -1, 13, -5, -3, 13],\n [4, -11, 7, -4, 11, 0, -7, -4, 16, -10, -12, 16],\n [-3, 4, 1, -3, 10, 9, 11, -16, -4, 5, -14, 4],\n [-16, -7, 7, -... | 890138499475 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[4, 11, -8, -4, -1, 6, 15, 16, 4, -13, -6, 5],\n [-4, 2, 7, -13, 8, 14, 4, 13, -12, -13, 15, -12],\n [-1, 10, -5, -16, -15, -9, 8, -16, -3, 15, 12, 2],\n [13, 6, -12, 6, -10, 14, -3, 10, 6, 9, -10, 4],\n [7, 0, -8, -... | 1621119561147 | MATH |
[
{
"content": "Find the value at position (7, 2) of the 8th power of the matrix:\n[[4, 0, 4, 10, -2, 6, 8, 4, -9, 8, 0, -2],\n [0, -7, 0, -12, 2, 4, 0, 3, 2, -12, -3, 0],\n [4, 0, -9, 4, 4, 3, 8, 0, -2, 4, 2, -10],\n [10, -12, 4, 3, 8, 6, 4, -2, -7, 6, 2, 14],\n [-2, 2, 4, 8, 3, -4, 12, -2, 10, -1, -1, -4],\n [6... | 34861942796 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[14, -2, 4, 8, -8, 1, -10, 4, -6, -4, 6, 4],\n [-2, -3, -6, -4, -10, -2, -10, -8, 13, 8, 13, -6],\n [4, -6, -5, 0, -10, 15, 3, 3, -5, 1, 7, -2],\n [8, -4, 0, -7, 11, 7, -4, 6, -3, 12, -2, -2],\n... | 2708650229158 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (6, 7) of the result:\nA =\n[[1, 6, 3, 14, 8, -14, 3, 8, 13, 4, 13, -1],\n [6, -6, -5, -12, 5, 0, 4, 10, -4, 13, -2, 1],\n [-6, -10, 15, -4, -1, 9, 4, 1, 3, -5, 4, 15],\n [-8, -6, -6, 11, 0, 16, 7, 4, -6, 15, 9, 1],\n [-5, 3, 10, -16, -... | 12702753101 | MATH |
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