messages list | ground_truth string | dataset string |
|---|---|---|
[
{
"content": "Find the value at position (1, 2) of the 9th power of the matrix:\n[[-16, 7, 4, 15, 1, -4, 4, 1, 9, -12, -12, 14],\n [11, -4, -6, -16, 7, -4, 1, 7, 12, 11, 5, 3],\n [-6, 3, -4, 7, 7, 0, -12, 13, -3, -2, -8, -3],\n [-7, 5, 14, -4, 0, -16, -3, -16, 10, 5, -8, 15],\n [3, 10, -14, -6, 7, 12, -12, 16, ... | -694932408405 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[11, 4, 2, 2, 6, 4, 2, 4, -6, -4, -4, -4],\n [4, 2, -4, -4, 2, 11, -2, -4, 6, -3, 0, 6],\n [2, -4, -15, 0, 0, -12, 8, 11, -9, 15, 10, 10],\n [2, -4, 0, -11, 8, -12, -8, 0, 8, -8, -1, -8],\n [6, 2, 0, 8, -5, -2, 14, 4... | 134651000667733 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[-3, -5, -11, 3, 4, -1, -5, 3, 16, -15, 9, 16],\n [13, -16, -9, -16, -7, 15, -15, 14, -13, -5, 14, 6],\n [16, -9, -1, -2, 9, -3, -5, 10, 14, -13, 13, -13],\n [14, -13, 3, 1, -9, -15, -8, -1, 5, -5, -12, -2],\n [-9, 7... | 95250242052412 | MATH |
[
{
"content": "Find the sum of all entries of the 7th power of the matrix:\n[[7, -1, -6, -16, 4, -11, -3, 12, -16, -9, 2, 6],\n [-6, 10, 3, -9, 9, -14, -13, 12, 11, 2, 11, 1],\n [-3, -3, 12, -14, -8, -12, 12, -12, -4, 9, -8, -13],\n [14, -12, -10, 11, -3, 7, -12, 11, -9, 4, 7, 7],\n [-4, -2, 8, 11, -9, 14, -10, ... | -106035729714 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^9 where A is:\n[[11, -4, -4, -5, 1, 1, 0, 5, -4, 2, 7, 2],\n [4, 7, 13, 11, 0, -8, -4, -3, 9, 4, 3, -6],\n [14, 1, -3, -12, 0, 4, -3, -14, 14, 8, 0, 9],\n [0, 2, 10, -10, 9, -12, -15, -1, -6, 6, -11, -16],\n [16, 1, -14, 2, -7, 3, -6, 15, 3, 15, 5, -1... | 89901592778657 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[-4, 14, 10, -2, 6, -6, 10, 0, 1, 3, 2, 6],\n [14, -15, -2, 7, 6, 6, -2, 4, -10, 8, -9, 6],\n [10, -2, -3, 0, -10, 2, 2, -4, 2, -6, -11, -8],\n [-2, 7, 0, 3, -5, -11, -4, 0, 0, 14, 2, -5],\n [6, 6, -10, -5, -14, 12, 7, 0, -7, -14, -14, 0],\n [-6, 6, 2, -11, 12,... | 19433272317038322 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[13, -5, 9, -2, -10, 2, 4, -4, 5, -1, 0, 0],\n [-5, -15, 6, 10, 2, -2, 2, 6, -8, -10, 2, 8],\n [9, 6, -5, -10, 8, 2, -2, -2, 0, 0, 13, 0],\n [-2, 10, -10, 11, -1, 9, 12, 4, -6, -8, 4, -4],\n [-10, 2, 8, -1, -11, 14, 0... | 34171309175962 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[5, 7, 13, 3, -11, 16, -2, -2, 15, -3, -9, 5],\n [3, 7, 4, 11, 6, 7, 6, -13, -13, 13, 11, 14],\n [16, 2, -7, 8, -4, -11, 13, 6, -1, -9, -1, -6],\n [-16, 5, 1, -6, 3, -7, -7, 5, -6, -8, -2, 2],\n... | 75260153001863 | MATH |
[
{
"content": "What is the value at position (10, 8) of the matrix A^9 where A is:\n[[-1, -2, -9, 4, 6, -10, 10, 8, 12, -8, 1, 3],\n [-2, 13, 2, 4, -1, 8, -6, -7, 2, 3, 0, 0],\n [-9, 2, 9, -9, 4, -3, 6, -14, 14, 0, 2, 0],\n [4, 4, -9, 3, -5, -4, -2, -4, -6, 6, -5, -4],\n [6, -1, 4, -5, -12, -2, 10, -13, -2, 0, 1... | -172855707092949 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 16, 9, -7, 12, 11, -5, -10, -1, 3, 12, 11],\n [-10, 5, -3, -7, -15, 5, -1, -6, 16, 16, 2, 3],\n [-7, 2, -5, -7, -10, -6, -1, 16, 0, 8, 14, -16],\n [3, -8, -15, -16, -12, -5, -3, 15, -8, 16, ... | 1885473536750 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[13, 12, 12, 2, -9, 0, -5, -2, -12, -14, -12, -8],\n [7, -12, 10, 3, -15, 6, 12, 13, -14, -7, -16, -11],\n [-11, -1, -16, -12, 8, 10, 9, -1, 9, 11, 11, 13],\n [-4, 8, 2, -4, -6, 6, -3, -7, 6, 4, 3, 15],\n [-3, 7, 1, 1... | 1754554163328 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[4, -4, 16, -11, -5, 13, 1, -1, -10, -16, 11, -14],\n [-7, -3, -2, -11, -1, 1, 8, 16, 16, 2, -6, -14],\n [-16, 8, 15, -13, 6, -1, -6, 5, 16, -4, 4, -5],\n [9, -16, 5, 10, 15, -9, 1, -13, -16, -1, 13, 6],\n [14, 11, -... | 37991107913374 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-8, -15, -11, -10, -2, 4, 6, 12, -4, -12, -16, 3],\n [-16, -10, -12, 12, 10, -10, -16, -8, -16, 10, 0, 15],\n [13, -2, 11, -14, 11, -12, -15, -1, 0, -5, 9, -10],\n [7, -1, 1, -9, 10, 9, 14, 1, -15, 6, 5, 16],\n [1, -2, -14, 6, -15, -13, 9, 2, -7, 5, -11, -16],... | 1222673580178 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[-15, -2, 11, 14, 15, 5, 12, -9, 5, -5, 6, -15],\n [-5, 4, -5, 14, -8, -2, 15, -8, 7, -9, 11, 1],\n [15, 4, 12, 1, 6, 16, -8, -13, -1, -14, -9, -1],\n [-15, 2, 7, -1, -15, 15, -16, 1, 15, -8, -14, 7],\n [-6, 11, -1, 1... | 4347195879270 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -1, -6, 2, -1, -8, -1, -2, 2, 0, -2, 1],\n [-1, 13, 13, 4, -6, -5, -4, 6, 8, -6, 8, -2],\n [-6, 13, -12, 4, 0, 6, 4, 10, 0, 8, 0, 10],\n [2, 4, 4, -10, -11, 9, 0, 1, -4, 15, 6, -6],\n [-1, ... | 1806225078625 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[-15, -8, -8, 10, -6, 2, 4, 8, -14, 0, -8, -2],\n [-8, -15, -6, 0, 12, 0, -16, -7, 10, 4, -4, -8],\n [-8, -6, 11, -8, -4, 5, 8, -12, 2, -6, 1, -8],\n [10, 0, -8, 2, 0, 3, 13, -2, 3, -11, -10, 8]... | 4357210917018 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[8, -14, 6, 6, -4, 8, -13, 4, -6, 0, -6, 3],\n [-14, 6, -4, -12, -1, 12, 10, -3, -12, 1, -5, 0],\n [6, -4, -11, -8, 8, 0, -10, -4, 5, -8, -10, -10],\n [6, -12, -8, 10, -11, 3, -2, 6, 1, -5, 8, 1],\n [-4, -1, 8, -11, -4, 10, 2, 4, 10, -13, -10, -2],\n [8, 12, 0,... | 5462909104756488 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[16, 10, -14, 4, 0, -4, 0, 4, -4, -1, 4, 4],\n [10, -10, -1, -10, -8, -6, 8, 0, -6, -13, 4, 6],\n [-14, -1, -14, 13, 2, -3, -6, -3, -4, -4, 2, -1],\n [4, -10, 13, -16, 0, -11, -5, 5, 6, 4, -4, -2],\n [0, -8, 2, 0, 5, -7, 6, 8, -4, 5, -4, 8],\n [-4, -6, -3, -11,... | 48428878436728 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[6, 9, -6, 7, -8, -3, 7, -10, -7, 16, 16, 10],\n [-9, -3, -10, 1, 9, -2, 16, -6, 2, 1, 5, 1],\n [1, 5, 8, 14, -8, 2, 8, -2, -12, -6, -4, -9],\n [8, 10, -6, 1, -7, 16, 0, -12, 6, -14, -7, 10],\n [-10, 12, -11, -8, -9, -3, -8, -6, -6, -6, -14, 2],\n [-9, 11, -16,... | -715153819310 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -4, -3, -7, 7, 2, 1, 1, 1, -2, 0, -4],\n [-4, -5, -2, -4, -3, 0, -3, -2, -12, 9, 9, 7],\n [-3, -2, 7, 0, 10, 6, 4, -2, -14, -2, 12, -10],\n [-7, -4, 0, 13, 4, -6, -2, -3, 2, 8, 12, -6],\n [... | 1358266764291 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the value at position (7, 9) of the result:\nA =\n[[-5, 5, -1, 16, -3, 1, -1, -14, 9, -2, 10, 0],\n [-3, -15, 10, 7, -13, 9, -13, -4, -16, -16, -8, -6],\n [-1, 12, -2, -15, -7, -6, 13, 6, 5, 12, 15, 16],\n [-8, -16, 1, 5, -3, 5, 16, -11, 10, -11, -1, -15],\n... | 1749519172158 | MATH |
[
{
"content": "What is the value at position (6, 4) of the matrix A^8 where A is:\n[[-8, -4, 0, 0, 8, 2, -10, 8, -12, -12, 6, -3],\n [-4, 2, 2, -8, 9, 0, -5, 6, -2, -9, -2, 5],\n [0, 2, 16, -6, 8, -1, 0, -7, -2, 2, 5, 10],\n [0, -8, -6, 15, -8, -10, 8, 2, 7, -2, 14, -1],\n [8, 9, 8, -8, -3, 4, 2, -10, 4, -3, -1,... | -673240004156 | MATH |
[
{
"content": "Find the value at position (11, 2) of the 7th power of the matrix:\n[[8, 6, 11, 9, -5, -14, -8, -2, -9, 11, 9, -1],\n [3, -16, 7, 12, -13, -13, -14, -15, 12, 11, -5, -2],\n [14, 15, 5, -14, 0, 12, -5, -3, -9, -15, 7, 3],\n [-7, -10, -16, -7, -12, 4, -8, 12, 14, 10, -11, 14],\n [-15, 4, 5, -4, 2, 1... | -6234395573 | MATH |
[
{
"content": "Find the value at position (11, 3) of the 8th power of the matrix:\n[[-16, 10, 1, -4, -13, 8, -6, -1, -8, 6, -7, -6],\n [10, 7, 6, 2, 5, 9, -6, 8, 0, 12, 3, 10],\n [1, 6, 3, -7, -8, 4, 0, 8, 3, 0, 6, 6],\n [-4, 2, -7, 12, 4, 2, 6, -4, 11, 2, -2, 9],\n [-13, 5, -8, 4, -2, -6, 1, 4, -10, 6, 8, 13],\... | 60832122406 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[-14, 9, -13, -15, 2, 6, 8, -10, -9, -14, 6, 16],\n [11, 5, 13, -3, -8, 5, 11, -3, -2, 7, -14, 6],\n [3, -2, -1, -10, 16, 2, 1, 1, -14, -14, -1, 6],\n [6, -2, -8, 1, -11, -11, 4, 13, 11, 3, 2, -3],\n [-16, 10, 15, 12,... | 877501798925 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the sum of all entries of the result:\nA =\n[[-12, 13, 1, 6, -15, 15, -16, -16, 14, -9, -14, -5],\n [8, -10, -2, 4, 8, -1, -16, -3, -15, 14, 2, 2],\n [6, 13, 0, -15, -6, -3, 12, 2, 11, -16, -12, -3],\n [2, 7, 0, -15, 14, 0, -9, 0, 9, -10, 7, 13],\n [9, 13, -... | 121726278796392 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[-11, 9, 15, -13, -14, -15, 3, 2, -5, 11, -8, -6],\n [13, -15, 16, -10, 4, -5, 4, 6, -11, -3, 15, -4],\n [10, -6, 15, -14, -15, 13, -15, 12, 5, 8, 2, -1],\n [0, 10, 2, 13, -3, 15, 6, -7, 12, -6, -2, 15],\n [10, -16, -3, -14, 13, 14, -16, -3, -2, 8, -3, 7],\n [-... | 3912885404846556 | MATH |
[
{
"content": "What is the value at position (11, 11) of the matrix A^9 where A is:\n[[-6, 0, 2, -3, -4, -4, 12, 9, -14, 0, 10, 0],\n [0, 8, 9, 4, 12, 4, 4, 8, -2, 6, 1, 8],\n [2, 9, 2, -9, -12, -4, 12, -10, -4, -9, -8, -2],\n [-3, 4, -9, 12, -2, -2, -10, -6, 10, -6, -10, 1],\n [-4, 12, -12, -2, 4, -2, -2, 4, -5... | -31017296596544 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -12, 13, 2, 2, 1, -11, -6, 4, -8, -3, 3],\n [-12, 4, 3, -8, -1, -2, -9, -2, 6, -10, 0, 5],\n [13, 3, -8, -3, 10, -4, 6, -8, -6, 0, 2, -1],\n [2, -8, -3, 10, 4, -6, -8, -14, -2, -8, -4, -2],\... | 1714662764690 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the value at position (5, 5) of the result:\nA =\n[[9, -1, 10, -4, -2, -4, 2, -12, -3, 2, -6, 9],\n [-1, 8, 2, 10, 4, 0, -6, -4, -4, -9, 8, 9],\n [10, 2, 5, -10, -12, 2, 4, 5, 10, -2, -14, 1],\n [-4, 10, -10, 14, -6, 5, -2, -1, -2, 5, 11, 0],\n [-2, 4, -12, ... | 1815125381692 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^9 where A is:\n[[-8, 0, 6, 10, -8, 10, 4, -8, -2, 4, 10, -8],\n [0, 13, 6, 6, 11, -11, 8, 6, 10, 6, -4, 0],\n [6, 6, 7, 0, -3, 10, 12, 14, -2, -4, -2, 0],\n [10, 6, 0, 13, -6, 2, -8, -5, 2, 1, 8, -2],\n [-8, 11, -3, -6, -5, 10, -4, 6, -4, -1, 4, -9],\... | -309364754910035 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[-3, 2, -2, -4, -2, 3, -4, 10, -8, -12, 4, 11],\n [2, 15, -4, -12, -6, -8, -8, 0, 0, -2, 6, 2],\n [-2, -4, 9, -11, -6, -6, 1, 4, 4, -12, 0, -4],\n [-4, -12, -11, 5, 14, 6, 0, 0, 5, -12, 6, -5],\n [-2, -6, -6, 14, ... | 10360571872399 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[-10, -4, 3, 2, -3, -8, 10, -6, 2, -7, -10, -8],\n [-4, -9, -8, -13, -4, -2, 2, -10, 4, -4, -6, -6],\n [3, -8, -6, 12, 7, -10, 0, 0, -2, 2, -8, 11],\n [2, -13, 12, 9, -2, -2, -2, -9, 0, -10, 12, -1],\n [-3, -4, 7,... | 35315263005814 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the value at position (9, 12) of the result:\nA =\n[[15, -9, 4, -2, 1, 4, 10, 6, 0, 5, -6, 10],\n [-9, -6, -2, 10, -4, -10, 2, 6, -4, -7, -11, 7],\n [4, -2, -14, -5, 0, -7, -2, 2, 6, -2, 14, 2],\n [-2, 10, -5, 1, -8, 10, -6, -11, -12, 16, 12, -2],\n [1, -4, ... | 269659142216 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[9, -4, 2, -4, 8, -3, 2, -6, 4, -8, -4, 2],\n [-4, 11, 8, -6, 0, -12, -4, 13, -10, 0, -10, 4],\n [2, 8, -1, -8, -3, -4, -14, 8, 1, -8, -3, -8],\n [-4, -6, -8, -13, 8, 2, -2, 6, -10, 0, -3, 7],\n [8, 0, -3, 8, 2, 0, 8, 0, -5, 0, 0, -2],\n [-3, -12, -4, 2, 0, -16... | -32833374256143 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[-8, 5, 4, -10, -5, -6, -14, 10, -10, -15, -7, -14],\n [0, -16, -4, -3, 0, 0, 8, 13, -6, 4, 3, 12],\n [-13, 0, -5, -13, -3, -13, 1, -4, -7, -3, -8, 3],\n [-16, 12, 0, -9, 0, 4, 8, 3, 8, 4, -4, -... | 1475480653070 | MATH |
[
{
"content": "Find the sum of all entries of the 9th power of the matrix:\n[[-1, 10, -12, -6, 6, 8, -12, 12, 10, -2, -9, 8],\n [10, 10, -2, -2, 9, -14, -12, -4, -7, -10, 10, 9],\n [-12, -2, 6, -4, 2, -4, 4, -12, 0, -2, 1, -1],\n [-6, -2, -4, -1, -6, -10, 6, 6, -12, -6, -6, -14],\n [6, 9, 2, -6, 12, 6, -2, -9, -... | -584343381389809 | MATH |
[
{
"content": "Find the value at position (8, 8) of the 7th power of the matrix:\n[[-1, -4, -13, 8, -4, 11, -5, 7, 11, -16, -14, 5],\n [4, 10, 4, 5, -4, -1, 7, 0, -12, 10, 15, 9],\n [-10, -10, 10, 7, 7, 12, 10, 4, -16, -7, 13, 11],\n [13, 11, 12, 14, -13, 2, -7, 14, 14, -6, 15, 6],\n [-14, 11, 8, 11, 2, 2, 12, 2... | 9204645488 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[3, 1, 8, -8, -5, -6, 3, 14, 2, -9, 2, 10],\n [1, -16, 2, 4, 3, -2, 0, 8, 13, 1, -12, -10],\n [8, 2, 14, 0, -6, 0, 0, -8, -2, -6, 12, 1],\n [-8, 4, 0, -14, 4, -6, 2, -12, 0, -6, -10, -8],\n [-5, 3, -6, 4, -7, 3, -2, 2, -10, -6, -4, -4],\n [-6, -2, 0, -6, 3, 2, ... | 37286019879144 | MATH |
[
{
"content": "What is the value at position (10, 1) of the matrix A^8 where A is:\n[[-12, 5, 8, 4, -2, 3, 0, 4, 6, 8, -4, 10],\n [5, 2, 12, 6, -8, -10, 10, 8, 8, -8, 8, -4],\n [8, 12, 9, 0, 3, -8, -1, 4, -12, -8, -2, 0],\n [4, 6, 0, -9, -8, 14, 0, 2, 9, 8, 8, -7],\n [-2, -8, 3, -8, 8, -6, 4, -11, 2, -4, -10, 2]... | -202435834868 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[5, -14, 6, -14, -11, 6, -5, -12, -12, -14, -13, 7],\n [-12, 14, 2, -9, 11, 6, -10, -4, 4, -11, -7, 10],\n [9, 11, -1, 11, -14, -16, -14, 13, 2, 16, -9, 2],\n [-12, 10, 7, 14, 5, 6, 7, 15, 16, 11, 0, 9],\n [1, -2, 5, 1, 4, 2, -15, 13, 8, 9, 0, -1],\n [10, -14, ... | 111468619183673 | MATH |
[
{
"content": "Find the value at position (11, 10) of the 8th power of the matrix:\n[[9, 4, 6, 10, -6, -2, 0, 1, 2, -2, -10, 2],\n [4, -4, -4, 1, -12, -4, 8, -7, -1, -6, 5, 6],\n [6, -4, -1, -4, -2, 6, 6, 0, -6, -10, -2, 4],\n [10, 1, -4, 4, 10, -10, 2, 2, -4, -6, -4, 2],\n [-6, -12, -2, 10, -12, -6, 8, 14, 14, ... | 638890518795 | MATH |
[
{
"content": "What is the value at position (11, 3) of the matrix A^7 where A is:\n[[-9, 7, 4, 9, 4, 7, 0, 2, 4, 9, -2, 0],\n [7, -3, -2, -8, 11, -10, 4, 2, 0, -1, 1, -4],\n [4, -2, -5, -6, 0, 4, 2, -12, 0, -12, -1, -2],\n [9, -8, -6, 8, 0, -6, 2, 0, 12, -12, 5, -8],\n [4, 11, 0, 0, 16, 4, -4, 6, 14, 2, 0, -8],... | 5279157306 | MATH |
[
{
"content": "Find the value at position (11, 7) of the 9th power of the matrix:\n[[8, 10, 5, -9, -10, 5, -4, -4, -6, -2, 5, -4],\n [10, 12, 8, -6, -8, 0, 12, 5, 5, -6, 12, -10],\n [5, 8, 11, -7, -12, -3, 2, -12, -2, 6, 3, -5],\n [-9, -6, -7, -7, 0, 12, 4, -7, -4, 7, 2, -9],\n [-10, -8, -12, 0, 7, -6, -2, -6, 1... | 33578198842469 | MATH |
[
{
"content": "What is the value at position (7, 11) of the matrix A^8 where A is:\n[[-5, -11, 4, 15, 15, 10, -6, 5, 6, 6, 10, 3],\n [-2, -13, 12, -6, -10, -6, 16, 13, 15, -4, -10, 7],\n [-6, 14, -3, 9, -16, -11, 14, -5, -16, -11, 12, 13],\n [-4, 13, -5, -7, -7, 1, -11, -9, 3, -1, -15, -6],\n [7, 2, -13, -14, -2... | -70820273181 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the value at position (12, 11) of the result:\nA =\n[[16, 16, -9, -13, 14, -7, -9, 13, -3, -14, 12, -1],\n [-7, -13, -13, -15, -6, -2, -6, 6, 13, -16, 16, 6],\n [1, -7, 0, -10, -2, 10, -8, 4, 12, 16, -11, 8],\n [0, 10, 8, -5, 8, -15, -16, -14, 12, -3, 5, -2]... | 8749954068286 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the sum of absolute values of all entries of the result:\nA =\n[[-10, 4, 2, 2, 2, -3, -6, 13, 4, 12, 14, -2],\n [4, 3, 10, -3, 4, 12, 10, -9, -5, -6, -2, -8],\n [2, 10, 10, -3, 0, 5, -8, 6, -9, -2, 4, 4],\n [2, -3, -3, 12, 2, -11, 3, -7, 0, -6, -4, -8],\n [2... | 3802044769462581 | MATH |
[
{
"content": "Find the sum of all entries of the 8th power of the matrix:\n[[4, -8, -13, -14, -8, -12, 10, -6, -14, 2, -10, 5],\n [-8, -6, 4, -4, 2, 4, -4, 14, 1, -7, 0, 6],\n [-13, 4, 8, -6, 5, 2, 7, 2, -1, 9, 2, 2],\n [-14, -4, -6, -8, 6, -2, 2, -1, 4, 12, 2, -11],\n [-8, 2, 5, 6, 7, 2, 4, 4, -7, -4, 10, -13]... | 23008096587663 | MATH |
[
{
"content": "Find the sum of all entries of the 8th power of the matrix:\n[[4, -16, 0, 7, 14, 3, -1, 0, -12, -2, -2, -4],\n [-16, -14, 1, 10, -16, -8, 8, -6, -8, -4, 6, -12],\n [0, 1, 12, 6, -1, -2, 12, -5, 3, 12, -2, -7],\n [7, 10, 6, 13, 13, -4, 5, -4, 2, -12, 7, 2],\n [14, -16, -1, 13, -12, -6, -4, 1, -2, -... | 47605987870551 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-3, 13, 1, -4, -3, 8, 10, 6, -10, -7, 8, 7],\n [-6, 3, -7, 4, 11, 11, 10, 16, -13, 3, -11, -11],\n [0, 2, 0, -14, -13, 6, 1, 12, -2, -6, -8, -7],\n [12, -11, 2, 9, -8, -4, 9, 3, -15, -13, -10, 2],\n [-6, 2, 15, -3, -12, 8, -3, -5, 3, ... | -25873371408 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the value at position (12, 9) of the result:\nA =\n[[1, -1, -9, 3, 6, -3, -1, 1, 13, -16, 0, 11],\n [-10, 3, 7, -16, 1, 9, -3, 2, 1, -10, -15, -10],\n [11, 11, 0, 13, 4, -8, 5, -2, -3, 10, 1, -7],\n [5, 6, -12, 8, -16, 7, 16, -10, 7, -2, -6, 0],\n [6, -13, 1... | 2086161434212 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[-8, 4, -4, -1, 1, 13, 8, 3, 6, 10, -2, -2],\n [4, -1, 6, 2, 1, -9, 1, -5, -7, -6, 1, -3],\n [-4, 6, -10, 0, -6, 3, 14, 4, -8, 4, 5, -5],\n [-1, 2, 0, 9, 4, 0, -3, -8, 10, -4, 14, 6],\n [1, 1, -6, 4, 6, -10, 0, -2, 8, 3, 5, 4],\n [13, -9, 3, 0, -10, -14, 3, 5, ... | 110537015289075 | MATH |
[
{
"content": "Find the sum of all entries of the 7th power of the matrix:\n[[13, -12, -13, -8, 16, 12, 14, 2, -15, 3, -5, 4],\n [14, 3, 3, 1, -11, 16, -7, 1, -2, -14, -9, -6],\n [15, 0, 13, -9, -10, 3, -5, 4, 11, 11, -1, -7],\n [5, -10, -13, 7, -3, 0, -9, -4, -10, -14, 7, 7],\n [-10, 13, -12, 4, -9, -10, -15, -... | 122090647727 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[4, 0, 2, 8, 7, 10, 1, 12, 5, -6, -6, -8],\n [0, 5, 13, 16, -9, 3, 6, -2, -8, 11, 2, 10],\n [2, 13, -7, -6, -6, 5, -14, -4, 6, -6, -8, -7],\n [8, 16, -6, 1, 2, -4, 4, 10, -10, 8, -10, 0],\n [7, -9, -6, 2, -15, 6, 7, ... | 3604916162475 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[-6, 6, 14, 1, 7, 5, -16, -11, 12, -6, -1, -11],\n [-16, 7, -14, -15, -2, 5, -13, 7, 2, 13, 5, 10],\n [-2, -16, -5, -8, 2, 1, -6, -6, 13, 3, -2, 8],\n [-14, 9, 11, -11, 15, -6, -4, 0, 13, -13, -3, 11],\n [-10, -1, -3, 10, 13, -2, 1, -6, 5, -13, -14, 7],\n [-3, ... | 108637498206 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^9 where A is:\n[[-5, -4, 10, 3, -11, -9, 4, 4, -11, 13, -7, -6],\n [-16, -7, 8, -1, 2, -7, -3, -14, -13, 16, 3, -2],\n [-10, -14, 10, 12, 9, 10, 8, 13, 3, -10, 12, 9],\n [10, -8, 5, -5, -11, -11, 10, 2, -11, 0, 12, 6],\n [0, 4, -7, -9, -3, 14, 1, 13, ... | -13711932073253 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-7, -10, 6, -4, -2, -5, 7, -10, -2, -13, -10, 2],\n [-10, -1, -4, -4, 5, -2, 6, -2, -6, -10, 8, 4],\n [6, -4, 10, 2, 10, 2, 9, 4, -2, 4, -10, -4],\n [-4, -4, 2, -4, 10, -7, 2, 13, 1, 12, -1, -16],\n [-2, 5, 10, 10, 9, 5, -8, -12, 1, 6, 6, -5],\n [-5, -2, 2, -7... | 2465395834589 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[12, 14, 4, 8, 2, 4, 2, -6, 2, 8, 10, 4],\n [14, -10, 1, -10, 8, -1, -6, 0, 11, 12, 9, 12],\n [4, 1, 5, 6, -3, 4, 7, -14, -2, 10, -8, -1],\n [8, -10, 6, 1, 9, -6, 0, 12, 14, 7, 2, 15],\n [2, 8, -3, 9, 15, -2, -7, 0, -1, -6, 0, -10],\n [4, -1, 4, -6, -2, 5, -12,... | 232018377218116 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (3, 5) of the result:\nA =\n[[12, 6, -16, -11, 0, 2, -15, -2, 6, 2, 16, -11],\n [2, 13, 5, -14, -12, 13, -14, 11, -16, 5, 0, 11],\n [13, -9, 10, 8, -4, -10, 5, 16, 14, 16, 5, 10],\n [10, 4, -7, 11, 16, -9, 16, 2, 13, -3, -3, -10],\n [15... | 1537381912 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the value at position (2, 12) of the result:\nA =\n[[12, 14, -4, -5, 2, 12, -1, -8, -10, -14, -4, 10],\n [14, 16, 7, -2, -12, -8, 10, 0, 11, 0, 0, 2],\n [-4, 7, 2, -4, 12, 3, -1, -10, 6, 0, 8, -2],\n [-5, -2, -4, 5, 6, -4, 12, 11, -8, 6, 6, -4],\n [2, -12, 1... | 607516717965 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-1, -4, -11, 2, -6, 3, 11, 1, 3, -4, 8, 2],\n [-4, -9, -4, -5, -1, 0, 3, -16, -5, 2, 12, 4],\n [-11, -4, -11, -12, 12, 6, 6, -1, 6, -2, 4, -1],\n [2, -5, -12, -7, 0, 8, 8, 7, 6, -4, 4, 10],\n [-6, -1, 12, 0, 5, -4, -6, 2, 6, 3, 10, -6... | 113708498900 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[-16, -2, 1, -5, -4, -2, -6, -4, -3, -10, 11, -5],\n [-2, -5, -2, -1, 1, 6, 0, -12, 0, -6, 0, 4],\n [1, -2, -12, -10, -10, -3, -2, 5, 8, -2, -8, 2],\n [-5, -1, -10, 5, -7, -2, -4, 2, 0, 7, 6, 8],\n [-4, 1, -10, -7, -3, 4, 6, -2, 3, -1, -5, 1],\n [-2, 6, -3, -2,... | 28000333335122 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[13, -8, 16, 9, -7, 15, 16, 10, 12, 2, 1, 11],\n [-7, -14, 12, -1, -16, 1, -13, -12, 4, -13, 3, 2],\n [7, 3, 11, 7, 3, 7, -11, 8, 15, 0, 0, -12],\n [0, -8, 3, -15, 2, -8, 2, -13, -11, -6, 4, 8],\n [13, 1, 8, 4, 6, 13... | 779334481030 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[-11, 7, 5, -8, -7, -14, -11, 9, -3, 2, 6, -12],\n [-2, 13, 16, 2, -12, -8, -10, 7, -1, -7, 4, 4],\n [-2, -4, -10, -9, -15, 5, -13, -10, -16, 2, 13, -15],\n [-4, 11, -3, -14, -1, 8, -14, -14, 12, 2, 3, 4],\n [3, 11, 10, 8, -15, 7, 16, 2, 9, -14, 10, -3],\n [3, ... | -403408107988 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 5, -3, 10, -1, -2, 5, 1, 10, 0, 8, 6],\n [5, -16, -2, 8, 0, 4, 6, 6, 4, -2, 9, -10],\n [-3, -2, 11, -4, -10, -7, -7, 2, 6, -10, 10, -10],\n [10, 8, -4, 12, 6, 0, 1, -7, 1, 1, -3, 8],\n [-1, ... | 6590710331656 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[13, 2, 8, 2, 4, 3, -4, 6, 2, -11, 0, 8],\n [2, -16, -6, 2, -6, 0, 8, -2, 10, -2, 3, -14],\n [8, -6, 16, 0, 4, 6, 2, -6, 12, -2, -10, 4],\n [2, 2, 0, -2, 0, -14, -2, 0, -9, 2, 6, 10],\n [4, -6, 4, 0, -1, 2, -8, -2, -5, 12, -4, 6],\n [3... | 313444270162 | MATH |
[
{
"content": "Find the value at position (6, 3) of the 9th power of the matrix:\n[[5, 10, -2, 4, -13, 1, -10, -1, -5, -10, -7, -16],\n [-5, 10, 11, 1, -16, 6, 0, -16, -13, -2, 4, 4],\n [5, -3, -13, 15, 11, -5, 13, -8, 2, -1, 13, -16],\n [6, -5, -12, 3, -14, -15, 3, -15, -13, -11, -3, -2],\n [16, 2, -5, -8, 2, 1... | 19072668794912 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[-4, -1, 16, -3, -15, -4, 12, 0, -14, 13, -13, 14],\n [-12, -15, -13, 10, 10, -2, -3, 1, 12, -10, 7, -11],\n [3, -7, 5, 16, 6, -13, 4, -4, -4, -5, 7, 2],\n [-8, -4, 5, 11, -10, 13, 14, -6, 13, -2, -4, 3],\n [6, 3, 2, ... | 43438644472877 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the value at position (1, 2) of the result:\nA =\n[[8, -6, -8, -10, 10, -10, 8, 7, -12, -6, 0, -3],\n [-6, 0, 2, 0, -6, 4, 14, 12, 2, 4, -12, 2],\n [-8, 2, -7, 9, 8, -15, -7, -8, -2, -10, 6, 5],\n [-10, 0, 9, -15, 2, -7, 5, 4, 1, 7, -10, 6],\n [10, -6, 8, 2,... | -378374678696 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[12, -2, 0, 0, -14, 4, -7, 8, 3, -2, 10, 2],\n [-2, 2, -2, 10, 2, -5, -10, -6, -4, -9, 2, -4],\n [0, -2, -13, 3, 5, 4, 0, -1, -14, 10, -8, -4],\n [0, 10, 3, -4, -4, 4, -11, 3, 8, 3, -2, -6],\n [-14, 2, 5, -4, 4, -3, 0, 4, -11, 2, 10, 10],\n [4, -5, 4, 4, -3, -1... | -137366415129 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^8 where A is:\n[[-1, 9, 16, -13, 9, -8, -6, -12, 15, 12, 11, 7],\n [2, -16, -12, 6, 2, -15, -15, -8, 1, -1, -8, 6],\n [16, 9, 0, -3, -4, 5, 1, 3, 13, 16, 0, -5],\n [-15, -5, 9, 15, 4, -12, 11, 6, 15, -12, -11, 2],\n [-11, -3, -14, -6, 7, 1, 14, -7, 9,... | 10060515122561 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[5, 5, -15, -9, 16, -12, -7, -14, -6, 13, 11, -12],\n [-5, 12, 9, 12, 12, -3, -9, -1, -12, -1, -4, -9],\n [9, -12, -8, -15, -10, 13, 0, 14, -16, 11, 13, 14],\n [7, 14, -6, -1, -8, 13, -5, -1, 16, -11, -16, -4],\n [9, -8, 0, 8, -10, 14, 15, 2, 0, -11, 8, 16],\n ... | -33889028407 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[0, 0, 1, 2, -8, 4, 13, 5, 0, -2, 4, -6],\n [0, 6, -2, -10, -6, 4, 2, 10, 6, -12, -6, -6],\n [1, -2, 8, 6, -2, 2, 16, -14, -5, -10, 6, 4],\n [2, -10, 6, -1, 7, -4, -3, -12, -2, -2, -6, 4],\n [-8, -6, -2, 7, -9, 9, -1, 8, -4, 4, -2, 2],\n [4, 4, 2, -4, 9, -16, 7... | -12995882871 | MATH |
[
{
"content": "Find the value at position (10, 4) of the 9th power of the matrix:\n[[0, -7, -12, -13, -2, -15, -9, -1, 3, 7, 0, -12],\n [-3, -3, 14, 3, -4, -8, -5, -1, -16, -1, -11, 3],\n [-11, -14, 4, -10, -3, 13, 5, -3, 8, -14, -12, -12],\n [-8, -13, 3, 4, 7, -10, -9, -6, -8, -11, 0, -4],\n [0, -15, 13, 15, -1... | -5992211040152 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^8 where A is:\n[[2, 2, -2, 2, 2, 10, 10, 2, -6, -8, 0, -1],\n [2, -9, -14, 8, 2, -6, 6, 4, 0, 6, -2, 6],\n [-2, -14, 6, -4, 0, 10, -9, -3, 5, -6, 4, -12],\n [2, 8, -4, -15, -2, 6, -8, -6, 6, 0, 13, 12],\n [2, 2, 0, -2, 11, 8, 8, 4, -3, 2, 8, 3],\n [10... | 15822757222704 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 9th power of the matrix:\n[[7, -1, 15, -13, -3, 12, 5, 6, 9, 9, 5, -14],\n [0, -3, 13, -4, 9, 15, 6, -5, 6, 11, 2, -9],\n [-1, -10, 10, 3, 0, 11, -9, -13, 16, 5, 14, -16],\n [-3, -10, -9, -9, 7, -16, -9, -12, 15, -16, -15, -2],\n [-8, -5, -7, 7... | 1310151302689310 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the sum of absolute values of all entries of the result:\nA =\n[[-12, 16, 15, 4, -15, 16, -6, 6, 16, -9, 16, 12],\n [14, 13, -9, 9, 6, 9, -15, 9, 1, 10, 0, -2],\n [-10, 0, 2, 10, 0, 15, -1, 13, -3, 1, 5, -1],\n [-1, 9, -11, -10, -8, 9, -15, -14, 4, -14, -8, ... | 695582689360133 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[16, 4, 5, 2, 15, -12, -5, -11, 1, -10, 2, -2],\n [-8, 3, 3, -13, -7, -16, 7, -10, 5, 6, -16, 7],\n [3, 15, 14, 16, 1, 16, 16, -12, 1, -8, 14, -10],\n [-2, -13, -9, 7, -9, -12, 6, -2, 2, 8, -13,... | 43093077832259 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[-12, 8, -12, 11, 2, 1, -4, -8, -8, -4, -6, 0],\n [8, -8, 0, 6, -2, 0, -6, 4, 2, 0, -2, 9],\n [-12, 0, -11, -14, -10, -14, 6, -4, 10, -2, -1, 4],\n [11, 6, -14, 3, -12, -4, 5, 14, -5, -9, 6, -4]... | 119984594888089 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[-5, -8, 7, -4, 6, 6, -4, 12, 4, 10, -5, 4],\n [-8, -10, -6, -6, -6, -12, 7, 6, -5, 0, 9, 12],\n [7, -6, -5, 10, 0, 4, 0, -2, 4, 5, -4, 6],\n [-4, -6, 10, 9, 6, 4, 12, 12, -6, -10, 0, 12],\n [6, -6, 0, 6, -12, -2, -5,... | 3661188341924 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the value at position (6, 3) of the result:\nA =\n[[4, 0, 9, 0, -10, 8, 9, -11, -7, 0, -3, -14],\n [-1, -12, 6, 10, -12, 1, -5, 4, -10, 0, -8, 7],\n [-6, 8, -10, 0, 2, 4, -8, -9, 10, 6, -7, -15],\n [-10, -15, -1, -11, -1, 8, -7, -8, 15, 15, -15, 4],\n [-14, ... | -3307757319310 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 9th power of the matrix:\n[[2, 11, 2, 8, -2, 6, 12, -10, -2, 4, 3, 6],\n [11, -6, 5, -12, -6, 6, -8, -7, -4, 0, 4, -4],\n [2, 5, 15, 8, -3, -14, 8, 6, 1, 1, 3, 1],\n [8, -12, 8, -16, 2, 10, -8, 0, 2, 4, -6, 4],\n [-2, -6, -3, 2, -3, 11, -2, -5,... | 4311107067709948 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 9th power of the matrix:\n[[-11, -5, 2, -4, 6, 8, 15, 4, -8, -4, -2, -6],\n [-5, -8, -10, -6, -4, 4, -7, 2, 2, 3, 4, -2],\n [2, -10, 14, 4, -1, 6, 8, -3, 2, -10, 10, 10],\n [-4, -6, 4, 7, -2, -15, 6, 6, 6, 12, 0, -1],\n [6, -4, -1, -2, 15, -11,... | 4717239028135860 | MATH |
[
{
"content": "What is the value at position (8, 1) of the matrix A^7 where A is:\n[[15, -11, -16, -13, 8, -9, 3, -3, 16, -14, -2, 10],\n [2, -16, 16, 0, -4, -5, 9, 10, 7, 0, -6, 5],\n [-9, 15, 12, 15, -12, -4, 8, -7, 9, 9, 4, 6],\n [-5, 8, -5, 15, 1, 3, -15, 16, 0, 13, -8, 14],\n [4, 5, 0, -14, 15, 16, -7, -12,... | -14915972036 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[-4, -3, -5, -4, 7, 14, -3, 13, 10, -11, -11, -2],\n [7, -4, -10, 4, -3, -14, -5, 4, 3, 10, -12, -6],\n [-11, -12, 5, -16, 3, 7, 3, 12, 7, -9, 5, 16],\n [13, -11, -4, 2, 9, 0, 10, 7, -3, -14, -12, -3],\n [-9, 8, -... | 96022502227 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[-9, 4, 2, 0, 8, 9, 4, 14, -6, -6, 0, -4],\n [4, -8, -2, -12, -2, 0, -6, -6, -2, -6, -3, -6],\n [2, -2, -8, 12, -8, 4, 2, 6, 0, -10, -4, -6],\n [0, -12, 12, 8, 2, -7, 6, -8, 3, 4, -2, 2],\n [8, -2, -8, 2, -7, -8, -2, 11, 6, -10, -4, -4],\n [9, 0, 4, -7, -8, 14,... | -1080851267535 | MATH |
[
{
"content": "What is the value at position (4, 5) of the matrix A^7 where A is:\n[[-7, -3, 3, -4, -2, -6, -2, -4, -7, 4, 4, -3],\n [-3, -8, 5, -2, 11, 4, -8, 2, -10, -9, -4, 8],\n [3, 5, -10, -9, 0, -5, -7, 2, 2, -5, 1, 8],\n [-4, -2, -9, -14, -8, -6, -4, 0, 11, -10, 2, -4],\n [-2, 11, 0, -8, -7, 4, 10, -3, 10... | -22260636572 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^9 where A is:\n[[-12, -12, 3, -4, -8, -12, 15, 13, 11, 11, -11, 12],\n [-13, 1, -2, 8, -13, -3, 0, 2, 12, 5, -3, -15],\n [-10, 11, -9, 12, -7, 4, -13, 4, 8, 3, -10, -10],\n [15, 15, 5, 8, -11, 10, 1, -5, 11, 2, 0, -2],\n [-12, 16, 4... | 855377921135446 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[12, 14, 12, 0, -12, 1, -3, 14, 1, 8, -6, 9],\n [-12, -1, -9, -4, 15, 10, 9, -8, -10, -9, -15, 1],\n [7, -6, -7, 12, -11, -7, 13, 11, 12, 8, 10, 15],\n [-13, -1, -6, -2, 13, 10, -1, -16, 8, 11, -3, -13],\n [-3, -1, -2, -4, 0, 11, -7, 0, -9, -15, -16, -12],\n [5... | 145029678024828 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[-8, -4, 13, 2, 14, -2, 11, 4, 9, 8, -2, 1],\n [-4, 2, -10, -7, 11, -7, -4, -7, -8, -4, -10, -4],\n [13, -10, -11, 2, -1, -13, -4, 2, 0, -7, -9, 4],\n [2, -7, 2, -5, 2, 3, -3, 13, 9, -8, -9, 3],\n [14, 11, -1, 2, 14, ... | 109106949186438 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^9 where A is:\n[[-3, -2, 6, -7, -4, -6, -3, -3, 6, -10, 11, 3],\n [-2, 15, -3, 0, 10, -4, 2, 0, 6, 0, 3, 3],\n [6, -3, -13, 2, 6, 2, 0, -10, 4, 12, -2, -3],\n [-7, 0, 2, 5, 2, 4, 0, -1, 4, -2, 0, 0],\n [-4, 10, 6, 2, -13, 0, -6, 12,... | 2407441616930039 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-13, 6, 3, 7, 14, 12, -2, -10, -1, -4, -6, 0],\n [6, -10, 4, 0, 3, -10, 3, -3, -1, 0, -6, -10],\n [3, 4, 11, -3, 0, 6, -5, -4, 7, -8, -10, -6],\n [7, 0, -3, 0, 0, 9, 14, 7, 12, -10, -7, 1],\n [14, 3, 0, 0, 9, 0, 9, 6, -6, -1, 10, 6],\n [12, -10, 6, 9, 0, -15, ... | 22891692485 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^9 where A is:\n[[14, -9, -5, -12, 13, -13, 4, -1, 1, 14, 15, 16],\n [2, 3, -7, 9, 1, -2, 1, 14, -2, 12, -2, -16],\n [6, -6, -1, 13, 12, -14, 0, 9, -8, 0, 14, 14],\n [-6, 5, -14, 11, 15, -13, -6, -16, -1, 15, 16, -6],\n [-4, 3, 8, -1... | 2542909922184041 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[16, -13, 11, -13, -11, 16, -12, 2, 1, -14, -15, -16],\n [-13, -9, 12, -3, 13, -10, -4, 5, -15, -9, 4, 3],\n [-6, -12, 13, 16, -5, -12, -16, 8, -13, -8, -14, 13],\n [3, -7, 3, -14, -6, -2, 11, -10, 16, 2, 12, -15],\n... | 2248601328963 | MATH |
[
{
"content": "Find the value at position (12, 7) of the 8th power of the matrix:\n[[-9, -1, -12, 2, -2, 8, -16, -6, -2, 2, -10, -8],\n [-1, 5, 8, -11, -10, 10, 12, 2, 8, 0, 7, 6],\n [-12, 8, 0, -6, 0, -12, 4, 4, 2, 2, -4, 3],\n [2, -11, -6, -9, 3, 8, -5, 0, 13, 3, 5, 11],\n [-2, -10, 0, 3, -4, -2, 0, 8, -2, 1, ... | 2259399029304 | 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, -2, 3, 0, 1, -8, 11, 10, 8, 2, 12],\n [0, 12, 0, -4, -10, -1, 11, 2, 14, -6, -6, 15],\n [-2, 0, 3, 6, -4, -10, 2, -12, -8, -8, -4, 8],\n [3, -4, 6, -12, -11, 2, 6, -3, -8, 4, 12, -6],\n ... | 419059341084602 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^9 where A is:\n[[3, -9, 12, -6, 3, 4, 4, 8, 3, -6, 8, 4],\n [-9, -4, -2, 5, -12, -8, -2, 2, -5, -4, -4, -2],\n [12, -2, 14, -10, -9, -4, 2, 0, 14, 4, 0, -1],\n [-6, 5, -10, -4, 4, -2, -2, -6, -6, -6, 1, 6],\n [3, -12, -9, 4, -10, 3,... | 4709803902758478 | MATH |
[
{
"content": "What is the value at position (11, 7) of the matrix A^7 where A is:\n[[-3, -9, -5, -10, -14, 9, -14, -13, 15, -3, -14, -4],\n [-9, -15, 14, 10, 0, 7, -16, 12, 9, 7, 16, 9],\n [9, -6, 12, 12, -14, -8, -11, -8, -9, 10, 7, -12],\n [-7, 3, 5, -5, 12, 14, -11, -10, 16, -2, -4, 7],\n [13, 16, 3, 2, 2, 7... | -2000080656 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-9, -16, -9, -12, -16, -14, 10, 6, -6, -6, 14, 7],\n [2, 15, 0, -5, -2, -4, 13, 2, -8, 11, 8, -13],\n [-10, -13, 6, -11, -8, -8, 4, -14, -4, 1, 14, 12],\n [-15, 14, -10, -7, -4, -16, 8, 13, -15, 7, -5, -12],\n [-2, -10, -15, -14, -13, -1, 10, 5, -14, 0, 5, -10... | -731542864305 | MATH |
[
{
"content": "Find the sum of all entries of the 7th power of the matrix:\n[[-9, 10, 10, -10, -14, -13, 7, -9, -4, -8, 3, 3],\n [-12, -12, -16, -2, 0, -5, -2, -3, 10, 5, -8, 4],\n [-14, 14, -4, -15, -3, -10, 12, -13, -13, 7, 4, 11],\n [-9, 0, -8, 3, -12, 12, -5, 15, 14, 14, -16, -12],\n [-5, -1, -1, 4, 16, 9, -... | 184852459969 | MATH |
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