messages listlengths 1 1 | ground_truth stringlengths 2 5 | dataset stringclasses 1 value |
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[
{
"content": "Calculate the matrix product AB and find the value at position (1, 3) of the result:\nA =\n[[-4, -2, -9, 8, -8, 9],\n [-7, -1, 7, 7, -5, -1],\n [7, 0, -3, 4, 2, 3],\n [6, -9, -5, 5, 6, -7],\n [3, 4, 7, -9, 2, -8],\n [-5, 10, 8, -9, -4, 4]]\nB =\n[[5, -9, 4, 2, 5],\n [2, -6, -5, -9, 2],\n [5, 6, 6,... | -30 | MATH |
[
{
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, 1, 0, -8, 8],\n [1, 10, -9, -10, 9],\n [-2, -4, 1, 0, 8],\n [-5, -7, -9, 5, -1],\n [0, 3, -3, -6, -6],\n [3, 7, -5, -7, -2]]\nB =\n[[4, -3, -4, 8, 2],\n [-2, -9, -10, -3, 6],\n [-8, 2, 8, -1, 2],\n [8, -7, 1, 10, -7],\n [-2,... | -538 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -4, -4, 5, -8, -4],\n [10, 8, -1, 10, 3, 10],\n [5, -8, 1, 6, 5, -7],\n [-7, 10, 8, 1, -6, -3],\n [7, -7, 10, 5, 6, -1]]\nB =\n[[6, -4, 1, 6, -6],\n [-8, -9, -3, -3, -9],\n [0, -7, 4, 0, -... | 1296 | MATH |
[
{
"content": "Compute the value at position (3, 3) of the product matrix AB given:\nA =\n[[-5, -1, -3, 9, -1],\n [-4, 8, 6, -8, -9],\n [-4, -10, 6, -2, 1],\n [-4, 1, -1, 2, -1],\n [6, 9, 10, -4, 8],\n [1, 9, 9, -2, 2]]\nB =\n[[-2, 1, -6, 8, 8, 3],\n [-10, 9, -5, -5, -9, -1],\n [7, 1, 10, -6, -10, 0],\n [1, -10,... | 129 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, 0, -2, 9, -3],\n [1, -2, -8, 7, -10],\n [-3, -1, 10, -5, 7],\n [4, -2, -3, -3, 7],\n [4, -5, 8, 7, 2]]\nB =\n[[5, 2, 4, -7, -6, 9],\n [8, 2, 0, 10, 3, -5],\n [4, -5, -5, -4, 7, 4],\n [6, -7, 9, 2, 0, 0],\n [-... | 62 | MATH |
[
{
"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[9, -9, -7, 1, 3, 6],\n [7, -2, -4, 0, -4, -10],\n [10, -5, 2, 5, -3, -9],\n [-7, -6, -10, -5, -10, 1],\n [-9, 8, 10, -1, 2, -4],\n [10, 9, 2, -7, 0, -7]]\nB =\n[[-1, -4, 7, 6, 5, 1],\n [1, -9, -7, -1, -5, 4... | -112 | MATH |
[
{
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, 1, -9, 8, 1, 3],\n [1, -7, 3, -2, 4, -3],\n [1, -1, 0, -7, -8, 4],\n [3, 3, -8, -5, 10, -8],\n [-10, -7, -3, -7, 6, 2]]\nB =\n[[-8, -8, -4, -9, 5, -10],\n [7, -6, 10, 3, -10, 8],\n [-6, -8, 4, -4, -5, 3],\n [-7, 3, 1, 3, 8,... | 280 | MATH |
[
{
"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[1, 8, -3, 9, -7, 7],\n [0, -8, -2, -8, -4, 3],\n [6, -5, -3, -7, 10, -9],\n [-5, -7, 3, 4, 8, 9],\n [1, -3, -2, -10, -8, -6]]\nB =\n[[6, 0, -5, -6, -7, 8],\n [1, -8, -3, -9, 2, -6],\n [-5, 1, -3, 5, 3, -4],\n... | 2891 | MATH |
[
{
"content": "What is the value at position (6, 1) when matrix A is multiplied by matrix B?\nA =\n[[9, -7, -5, 6, 3],\n [-8, 0, -1, 2, -10],\n [-10, -8, 6, -10, 3],\n [-10, 10, 0, -5, -1],\n [-7, -7, 0, 1, -4],\n [-9, 3, -3, 3, 4]]\nB =\n[[6, -9, -8, -1, -4, 10],\n [0, -2, 7, 0, -10, 9],\n [4, -5, -5, -3, -2, -... | -97 | MATH |
[
{
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, -3, 10, -8, -7, 7],\n [-3, 10, 6, -1, -1, 0],\n [-6, 6, 8, -9, 3, 2],\n [0, -1, -4, -7, 1, 8],\n [-4, -9, -6, 9, 6, 9]]\nB =\n[[0, 2, 9, 3, 10],\n [2, -10, 8, -6, 1],\n [-9, -10, -9, 2, -5],\n [4, 7, 10, -7, -2],\n [-2, -2,... | -843 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[4, -1, 5, 4, -8],\n [-2, 8, 3, -5, -6],\n [4, 5, -10, -1, 1],\n [1, 2, -7, 9, 6],\n [7, -9, 9, -3, -8],\n [6, -3, 10, -10, 8]]\nB =\n[[1, -9, -2, -3, 9, -8],\n [-3, 6, -1, 1, 1, 1],\n [7, -10, -8, -9, ... | 3068 | MATH |
[
{
"content": "Calculate the matrix product AB and find the value at position (3, 2) of the result:\nA =\n[[-10, 8, -7, -3, -2],\n [-2, 8, -7, 0, 10],\n [4, 7, 8, -7, 5],\n [-10, 2, -9, 2, 2],\n [4, 3, -2, -4, -10],\n [0, 5, -9, -9, -3]]\nB =\n[[-3, 9, 6, -4, -2],\n [8, -4, -5, 1, 1],\n [9, 5, 1, 4, -9],\n [9, -... | 69 | MATH |
[
{
"content": "Calculate the matrix product AB and find the value at position (4, 6) of the result:\nA =\n[[-3, -5, 8, -2, -3],\n [2, 9, -9, 3, 1],\n [-10, 3, -3, 10, 10],\n [6, 8, 7, 8, -3],\n [-10, -5, -3, 4, -5],\n [-2, 9, -4, 0, 10]]\nB =\n[[-9, 6, 0, 3, 1, 1],\n [3, 2, -3, -9, -6, -10],\n [5, 1, 6, 10, -8, ... | -64 | MATH |
[
{
"content": "Compute the value at position (3, 3) of the product matrix AB given:\nA =\n[[-8, -3, -4, 10, -10, 8],\n [-2, -5, -7, 3, 7, 2],\n [9, 2, -9, -9, 2, -1],\n [-4, -7, -10, -2, 5, -9],\n [-4, 5, 0, -1, -5, 3],\n [-7, -8, -3, -4, -5, -10]]\nB =\n[[1, -7, -10, 4, 8, 4],\n [3, -6, 0, -4, -10, 9],\n [10, 7... | -33 | MATH |
[
{
"content": "Calculate the matrix product AB and find the value at position (1, 4) of the result:\nA =\n[[3, 1, 6, -6, -9, 8],\n [10, 9, -10, 9, 3, -8],\n [-10, 2, -3, 3, 9, -9],\n [-9, -1, -2, -1, 2, 0],\n [-6, -10, 4, -4, 2, -4]]\nB =\n[[8, 3, 8, 2, 8],\n [0, -8, 1, -7, -3],\n [1, -5, 2, 10, 8],\n [-9, -5, 1... | 93 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[3, -1, -3, 9, 6, -8],\n [5, 10, -9, 1, 10, 6],\n [0, 6, -6, 2, 10, -5],\n [9, -7, 8, 0, -6, -2],\n [-10, -1, 4, 9, -7, 9],\n [7, 10, 4, -3, 6, 10]]\nB =\n[[-3, 4, 5, 7, 1],\n [-8, 1, 2, 2, 10]... | 1782 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, 6, -8, -4, 8, 2],\n [4, -3, 3, 4, -4, -5],\n [8, -7, -5, -2, 9, -1],\n [-8, -6, -5, -8, -9, -7],\n [-4, -4, 8, -1, -3, -3]]\nB =\n[[1, 7, 3, 5, -5, -4],\n [-6, -1, 2, 0, -3, 1],\n [10, 8, -8, 9, 4, 2],\n [10,... | 63 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[0, 1, 5, 1, -6],\n [3, 5, 5, 3, -10],\n [0, -8, 3, 8, -6],\n [6, 8, 4, -5, -7],\n [5, 5, 10, -10, 0],\n [-1, 10, 6, 2, 8]]\nB =\n[[-10, 6, -2, 5, 2],\n [-9, -3, 0, -3, 7],\n [5, -3, 5, 5, -5],... | 1227 | MATH |
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, 8, -10, 3, -6, 4],\n [-5, 7, -2, -9, 4, 1],\n [-1, -3, -1, 8, -1, -10],\n [0, 4, -5, -1, 3, -10],\n [-6, 6, -5, -10, -6, -9],\n [-7, 3, 4, -3, -6, 9]]\nB =\n[[9, -4, 1, -8, 8, 10],\n [1, 3, -1, 7, -9, 6],\n [-3, 8, ... | -611 | MATH |
[
{
"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-6, -2, 10, 9, -7],\n [7, -10, 10, -8, 6],\n [1, -9, 8, 4, 5],\n [-5, 4, -2, 2, 10],\n [-1, 2, -9, -8, -10]]\nB =\n[[6, -4, 2, -9, 9],\n [-5, -2, 5, -2, 8],\n [3, 0, -4, 8, -10],\n [5, 5, -1, -1, 10],\n [1, 0... | 1781 | MATH |
[
{
"content": "Calculate the matrix product AB and find the value at position (1, 3) of the result:\nA =\n[[3, -3, 10, -7, 5],\n [10, -1, -7, 7, -6],\n [4, 5, 8, 7, -1],\n [-4, 4, 6, 6, 0],\n [0, -1, 1, 1, -7]]\nB =\n[[-6, 5, 7, 1, -8],\n [9, -7, 10, -1, -5],\n [-2, 10, -4, 9, -3],\n [2, 2, -4, -3, 8],\n [-1, 8,... | -6 | MATH |
[
{
"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-9, -10, -4, -7, -8],\n [-5, -7, -8, -5, -4],\n [2, -4, -10, -1, -3],\n [10, -2, -4, -7, 4],\n [7, 8, 5, -7, -6],\n [3, 6, 1, -3, -3]]\nB =\n[[2, -1, -10, 7, -2, -8],\n [-1, 1, -8, -10, 10, -3],\n [-8, 8,... | -4 | MATH |
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, -8, -7, 1, -7],\n [2, 2, 0, 6, 9],\n [4, 9, -6, -6, 2],\n [-2, 2, 8, -7, -8],\n [10, -4, -8, 10, 0],\n [-6, 3, -2, -2, -5]]\nB =\n[[6, -2, 5, -10, -10],\n [-8, -10, -7, -2, -2],\n [-8, -1, -9, 2, 5],\n [5, 10, -7, -... | -136 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, 7, -10, -10, -6],\n [-2, -4, -3, -9, 3],\n [6, 4, 2, 6, 9],\n [-5, 0, 9, -7, 10],\n [0, 10, -5, 3, -6],\n [4, 8, -8, -8, 7]]\nB =\n[[6, 7, 6, 0, 6],\n [-5, -7, 9, 8, 10],\n [9, -8, 10, 1, -1],\n [-2, -2, 5, 2... | -96 | MATH |
[
{
"content": "Find the value at position (2, 5) of the product of the following matrices:\nA =\n[[8, -5, -8, 2, 0, -8],\n [3, 0, -7, 8, 10, -6],\n [-1, 5, -7, -2, 1, 10],\n [7, 8, -10, 2, -3, 6],\n [-2, 10, 9, 8, 0, 10]]\nB =\n[[-4, -10, 3, -9, 9, -9],\n [7, -1, -7, -8, -10, -7],\n [-1, -7, 5, 9, -4, -7],\n [-9... | -101 | MATH |
[
{
"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[9, -4, 5, -1, -5, 6],\n [-10, -1, -1, -6, -1, 4],\n [-7, -4, -3, 5, 5, 7],\n [8, -3, -10, 1, 5, 8],\n [2, -9, -1, -9, -8, -7],\n [7, -3, -7, 1, 2, -6]]\nB =\n[[3, 0, -3, 10, 2, -3],\n [-8, 3, -10, -8, -5, 1... | 165 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-7, -9, 9, -4, -1],\n [-4, 7, -5, 9, 7],\n [-8, -7, -6, 9, 4],\n [-4, -1, 1, -4, 6],\n [-6, 6, 7, -5, 2],\n [-7, 4, -9, 4, -1]]\nB =\n[[9, -2, 4, -10, -2, 5],\n [-3, 5, -1, 9, -7, 7],\n [-10, -9, 8, -5... | 2768 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-10, 5, -7, -10, -4, -7],\n [-10, -10, -1, -3, -9, -3],\n [4, 7, 10, -8, 5, -10],\n [8, 5, 4, 7, 1, 3],\n [0, -10, 6, -3, -5, -3]]\nB =\n[[-7, -8, 0, 3, -1],\n [10, -3, 1, -1, -10],\n [4, 1, -... | 1838 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[4, -1, 0, 8, 0],\n [-2, 4, -8, 2, 8],\n [-4, 6, -8, -4, 8],\n [-9, 6, 9, 4, 9],\n [8, 0, 9, 6, 8]]\nB =\n[[-3, -3, -10, 2, 5],\n [0, 1, -10, 1, 1],\n [-9, -1, 3, 6, 3],\n [3, 2, 8, 0, 3],\n [-... | 1475 | MATH |
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, 10, -6, -7, 10],\n [10, -9, -3, 6, -7],\n [-8, -5, -7, -9, 1],\n [-6, -3, 10, -3, 3],\n [8, 5, 2, -9, -1]]\nB =\n[[8, -8, 0, -5, 10],\n [10, -10, -5, -1, 6],\n [8, 9, 6, -1, -1],\n [7, -9, 2, 9, 1],\n [9, -8, 1, 7, ... | -206 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-7, -7, 5, 6, -9],\n [-1, 9, -2, -6, -6],\n [-5, -4, 1, 7, -10],\n [7, -6, -5, -3, 10],\n [1, 10, -10, 9, 5],\n [-6, -10, -1, 10, -6]]\nB =\n[[-6, -5, -9, 5, -4, -3],\n [5, 10, -10, -8, 10, 6],\n [8, 9... | 3033 | MATH |
[
{
"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-3, -3, -10, -6, 3, 5],\n [6, -7, 7, -9, -8, 9],\n [3, 9, 5, 2, -4, -3],\n [-10, 2, -1, 5, -1, 0],\n [2, 0, -9, -10, -2, -1],\n [-9, -3, -5, 5, -2, 4]]\nB =\n[[4, -9, -4, 1, 8, -3],\n [-7, 5, 9, -5, -4, -8],\... | 2300 | MATH |
[
{
"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, 3, 10, 7, 4],\n [-2, -6, 4, -2, 0],\n [-2, 4, 10, -4, 4],\n [6, 0, 1, -9, 0],\n [7, 6, -6, -4, -10]]\nB =\n[[4, -9, 5, -6, -7, -3],\n [-7, -10, -8, 7, -8, -4],\n [-3, 5, -5, -7, -10, -2],\n [4, -1... | 1562 | MATH |
[
{
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, -8, -10, -2, 7, 2],\n [-1, 1, -8, 0, 3, 6],\n [5, 9, 5, 8, 10, -6],\n [-1, -5, -6, -6, 6, 3],\n [-3, 6, -1, 4, -5, -2]]\nB =\n[[-2, 1, -1, -7, 10],\n [6, 5, -1, 3, 5],\n [-2, 2, 1, 2, 8],\n [8, 5, 0, -7, -1],\n [-7, 10, 5, ... | -306 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, 9, 9, 8, -6],\n [-9, -10, 4, 0, -8],\n [3, -7, 7, 10, -10],\n [2, -5, -9, 4, -9],\n [-5, -10, -7, 4, 3],\n [1, -3, 1, 1, -4]]\nB =\n[[-7, 1, 2, -2, -2],\n [-6, 1, 7, 0, 2],\n [3, 0, 5, -3, 4],\n [-3, 3, -1,... | -85 | MATH |
[
{
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, -9, 8, -1, -4, 6],\n [5, 0, 8, -10, -8, -10],\n [3, 4, 5, -1, 4, 9],\n [1, -8, 6, -8, 2, 9],\n [-1, 7, 9, -1, -9, -8],\n [0, -8, -9, -7, -5, -7]]\nB =\n[[-3, 4, -2, 1, 5],\n [-1, 10, 6, 3, -9],\n [-6, -4, -4, -9, 1],\n [2, ... | -617 | MATH |
[
{
"content": "Find the value at position (4, 2) of the product of the following matrices:\nA =\n[[-2, -5, -3, -3, -9, -7],\n [-7, 2, -6, -5, -8, 1],\n [5, -7, 1, 2, -2, 5],\n [4, -1, -5, -5, 2, 5],\n [-2, 2, 7, 2, 4, 4]]\nB =\n[[5, -1, 7, 5, 0],\n [0, -1, 8, 2, -5],\n [-1, 4, -10, 1, -2],\n [4, 10, 3, 5, -6],\n... | -86 | MATH |
[
{
"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[1, -1, 0, 10, -4],\n [-3, -4, -4, -10, -2],\n [-10, 10, -10, -7, 3],\n [-5, -4, 7, -10, 9],\n [3, -5, 7, 8, -5]]\nB =\n[[0, 9, -5, -3, -3],\n [0, -10, 8, -4, 1],\n [9, 0, 3, -1, -1],\n [-9, -5, -10... | 60 | MATH |
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, -6, -7, 8, -9],\n [8, -9, -7, 4, -2],\n [1, 2, 1, 0, 10],\n [2, -8, -6, -2, -4],\n [-2, 7, 6, -4, -10],\n [-10, -2, 2, 5, 9]]\nB =\n[[-5, -1, -7, 7, -1],\n [-7, 0, -9, -7, -10],\n [-10, 8, -2, 8, -3],\n [6, -3, -10,... | 460 | MATH |
[
{
"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-6, 9, 5, -7, -9],\n [10, -3, 3, 9, 2],\n [8, -4, 3, -3, -2],\n [2, -7, -8, 2, -9],\n [-10, -6, -8, -6, 7],\n [4, 3, -8, -6, 10]]\nB =\n[[-3, -6, -6, 4, 0, 10],\n [0, 6, -2, -8, 6, 10],\n [7, 5, 1, 9, -9, -5]... | 2476 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, -2, -3, 8, 8, -5],\n [8, 0, -9, 7, 3, 15],\n [-1, -12, 7, -6, 14, 5],\n [13, -3, -5, -15, -11, 4],\n [-9, -6, -5, -9, -15, -15],\n [-9, 14, -15, 14, 10, 11],\n [1, -5, -4, 0, 4, 9]]\nB =\n[[-6, -3, -8, -3, -... | -660 | MATH |
[
{
"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-2, 15, 13, -11, 2, -1],\n [-3, 11, 0, 11, -12, 1],\n [15, -5, -7, -2, 1, -10],\n [0, 3, 5, -12, 4, -13],\n [-2, 4, 6, 10, 12, 14],\n [12, 11, -3, 15, 3, -9]]\nB =\n[[-8, 5, 6, 2, -7, 0, 6],\n [9, 11, 9, 11, ... | 7489 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 13, 11, 3, 0, 3],\n [7, -6, 0, 12, -6, 0],\n [-11, 13, 1, 6, -6, -10],\n [-3, 8, 15, 13, 6, -14],\n [-15, -1, 15, 15, 15, 0],\n [-12, -5, 0, 0, 5, -8]]\nB =\n[[11, 2, 8, -11, 6, 11, 14],\n... | 6042 | MATH |
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, 4, 10, 6, -5, -14, 14],\n [-4, -7, 0, -5, -13, 0, -4],\n [10, -7, 12, -4, 11, 8, -1],\n [-10, 9, -6, -5, -3, -5, -4],\n [-15, 11, 9, 15, -11, -5, -15],\n [2, -14, 12, 14, 4, -6, -14],\n [1, -14, -10, 3, -4, 0, -12]]... | 171 | MATH |
[
{
"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-13, 10, 1, 15, 13, -1],\n [14, -10, -9, 4, 15, 14],\n [0, -2, -15, 0, -12, -4],\n [2, 10, 8, 13, -11, -3],\n [-5, -1, 3, -13, 0, -5],\n [14, -6, -5, 10, 12, -8]]\nB =\n[[0, 13, 8, -8, -7, 15],\n [12, 2, ... | 842 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[4, 12, -5, 5, -5, -7],\n [13, 0, 2, 12, -10, -7],\n [12, -7, 14, 5, -5, 1],\n [4, -13, -9, 3, 15, -1],\n [9, -13, -14, 6, 2, 15],\n [-4, 15, 5, -5, -6, 8]]\nB =\n[[0, -7, -13, -14, 9, -8],\n [... | 4786 | MATH |
[
{
"content": "Compute the value at position (5, 1) of the product matrix AB given:\nA =\n[[3, -13, -2, -10, 1, -9, 3],\n [8, 5, 2, -11, 12, 2, 9],\n [-12, -9, 8, 10, -8, 0, -15],\n [-7, -12, 5, -13, 15, -14, 15],\n [-7, 12, -10, 12, -3, 9, 12],\n [15, 8, 12, 3, 14, -15, -10],\n [-13, 7, 6, -12, -3, -1, -5]]\nB ... | -4 | MATH |
[
{
"content": "What is the value at position (6, 6) when matrix A is multiplied by matrix B?\nA =\n[[9, -15, -5, 10, 14, 10],\n [-6, 9, -11, 15, 8, -3],\n [1, -13, -5, -2, 9, 0],\n [13, -12, 0, 11, -8, 7],\n [-5, -7, 13, 15, 13, -7],\n [12, -2, 13, -10, -11, 9]]\nB =\n[[14, 6, 2, -15, -4, 3, 0],\n [6, 11, -2, -7... | 249 | MATH |
[
{
"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, 4, 8, -4, -15, -14, 2],\n [-15, 15, -5, -14, -8, 9, -3],\n [7, -10, -5, 8, -3, 7, -10],\n [-15, -12, 3, 5, -10, 3, -6],\n [12, -12, 0, -2, 10, 5, 12],\n [0, 13, 4, 1, -9, 7, -5]]\nB =\n[[-14, -2, ... | 6351 | MATH |
[
{
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[12, 4, -6, 8, -13, 12],\n [-10, 5, -6, 2, 5, 12],\n [7, 4, 5, -11, 6, 10],\n [11, -7, 3, -12, 6, 4],\n [-4, 11, 4, -9, 1, -12],\n [-13, -13, 11, 6, -7, 15],\n [4, -7, -7, 15, 0, 11]]\nB =\n[[11, -3, 8, -9, -15, 3],\n [0,... | 2424 | MATH |
[
{
"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-14, 15, -6, -9, 1, -3],\n [-11, 2, -7, 0, -14, 1],\n [3, 15, 5, 9, 9, -9],\n [-11, -13, -1, -1, 13, 3],\n [1, -11, 14, -13, 2, -8],\n [14, 13, -10, 11, 14, 1]]\nB =\n[[3, 3, 10, 9, -7, 15],\n [5, 9, 14, -10, -15,... | 722 | MATH |
[
{
"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-3, 5, -1, 6, 8, 12],\n [-11, 8, 13, 12, 2, -9],\n [-1, -11, -4, 2, -5, 12],\n [10, 8, -8, 11, -6, -8],\n [12, -8, 3, -12, -13, 14],\n [7, -4, -12, 8, 4, 8]]\nB =\n[[10, 5, 2, 13, -8, 8],\n [14, -14, 14, -2, ... | 5863 | MATH |
[
{
"content": "Compute the value at position (1, 5) of the product matrix AB given:\nA =\n[[8, -7, 5, 4, 1, -3, 15],\n [-2, 3, -11, -11, -7, -14, 2],\n [-11, 1, -14, 9, 3, 3, 2],\n [14, 11, -11, -10, 0, -6, -13],\n [5, 6, -12, 5, 11, -4, -13],\n [-6, -13, 4, 10, 5, 8, -3]]\nB =\n[[-5, -6, 6, -9, -6, 2, 6],\n [2,... | -24 | MATH |
[
{
"content": "What is the value at position (5, 5) when matrix A is multiplied by matrix B?\nA =\n[[-3, -9, -14, 4, 7, 7, 1],\n [6, -3, -7, 6, 8, -4, -8],\n [-13, 14, -13, -2, 5, 9, 6],\n [7, -15, -15, -6, -14, -1, 2],\n [4, -4, 6, 1, 2, 8, 13],\n [3, 10, -9, -8, -7, -7, -14],\n [4, 10, 8, -1, -14, 3, 13]]\nB =... | 183 | MATH |
[
{
"content": "Compute the value at position (6, 6) of the product matrix AB given:\nA =\n[[-11, -14, 15, -9, 9, 15],\n [5, 5, 4, -14, -14, -14],\n [-1, -12, 13, 12, 6, 11],\n [1, 8, -12, 4, -10, 9],\n [-3, -12, -14, -13, 2, 8],\n [8, -8, 3, 15, 13, 13]]\nB =\n[[11, 11, -4, 12, -12, -13, 13],\n [3, -10, -1, -5, ... | -225 | MATH |
[
{
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, 8, -6, -8, -5, 0, -8],\n [14, 14, -15, 5, -1, 4, 13],\n [0, -12, -11, 4, 14, 3, 14],\n [5, 0, 1, -3, -8, 11, 4],\n [-8, 3, 5, -13, -1, 1, 5],\n [-4, 9, -9, 13, 1, 12, -11]]\nB =\n[[-10, 4, -3, 2, 7, -6, -12],\n [8, -... | -2068 | MATH |
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-15, 5, -13, -7, 6, 3, -5],\n [-15, -7, 1, 15, 15, 12, 14],\n [1, -12, -9, -2, -3, 3, -13],\n [-14, 4, -8, -8, 2, -2, 6],\n [-1, 13, -10, -3, -1, 13, 7],\n [-10, 7, 6, -2, 9, -8, -6],\n [-11, 13, -12, 1, 15, -5, -1]]\n... | 262 | MATH |
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, -15, 13, -10, -4, 14],\n [-5, 6, -10, -1, 9, 10],\n [12, -10, 14, -6, -8, 13],\n [13, 3, 3, -13, 8, 2],\n [-5, 9, 9, 6, 11, 1],\n [6, 10, 13, 11, 1, 3]]\nB =\n[[6, 1, 13, 2, -11, -12],\n [1, -4, -13, 4, 9, 14],\n [6... | -16 | MATH |
[
{
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, 14, 9, 11, 14, 0],\n [0, -4, -13, -5, -3, -4],\n [13, -3, 9, 8, 5, 10],\n [-9, 13, -2, 12, 0, 10],\n [-2, -12, -5, -5, -11, 3],\n [2, -6, -15, -15, -10, -2]]\nB =\n[[-7, 2, 1, 4, 11, 6, 13],\n [-9, -14, 11, -15, -3, -... | -1099 | MATH |
[
{
"content": "Calculate the matrix product AB and find the value at position (1, 1) of the result:\nA =\n[[-6, -7, 13, 14, 2, -4, 5],\n [-3, 0, 9, 9, 8, -15, 6],\n [5, -7, 4, 5, -8, 11, -9],\n [-10, -5, -7, -1, -2, -9, -12],\n [-7, 15, 1, -4, -4, -14, -10],\n [-8, 2, 2, -9, 13, 9, 0]]\nB =\n[[2, -15, -12, -10, ... | -161 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[10, 12, -6, -1, 15, 2],\n [-11, 7, 3, -10, 13, 5],\n [2, 2, 1, 11, -1, 2],\n [1, -14, -1, -8, -13, 12],\n [5, -9, 6, -10, 12, -11],\n [-8, 5, -10, -3, 4, 2],\n [5, -14, 14, 6, -11, -3]]\nB =\n[[-6, 12, 2, 7, 15,... | 95 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[8, 2, -8, 7, -14, 4],\n [11, 14, -2, -2, 2, -7],\n [8, 6, -2, 2, 2, -8],\n [2, 8, 6, 8, 1, 2],\n [11, -3, -7, 0, 4, -8],\n [-8, -1, 6, 10, 5, 3]]\nB =\n[[1, -14, 10, -4, 12, 14, -7],\n [5, 2, ... | 4849 | MATH |
[
{
"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[4, 1, -4, 13, -8, 9],\n [-7, 6, 11, 6, -4, -4],\n [-9, 5, 9, 6, 12, 0],\n [-9, -10, 8, -15, 8, 14],\n [8, 3, -7, 10, 14, 1],\n [7, -1, 4, -12, 8, 2]]\nB =\n[[15, -12, 1, -8, 2, -8],\n [-11, 13, 2, -10, -14, 12],\n... | 169 | MATH |
[
{
"content": "Calculate the matrix product AB and find the value at position (4, 4) of the result:\nA =\n[[4, -10, -6, 9, 10, -5, -2],\n [-3, -7, -10, -10, 1, 3, -12],\n [-4, -9, 6, -4, -9, -6, -11],\n [-11, -8, -6, 5, -2, 15, -12],\n [1, -7, -4, -14, -15, -4, -1],\n [10, 14, 13, 11, -7, -1, 10]]\nB =\n[[14, 14... | 380 | MATH |
[
{
"content": "Calculate the matrix product AB and find the value at position (4, 6) of the result:\nA =\n[[5, -14, -6, -11, -8, -6, -6],\n [3, 6, 7, 6, -12, 2, 13],\n [-5, 0, 1, 2, 12, -7, 12],\n [-12, -14, -11, 4, 8, 4, -3],\n [-1, 6, -9, 4, 7, 4, 13],\n [0, -6, -14, -4, 8, 14, 11],\n [15, -14, -3, -3, 0, 12, ... | 99 | MATH |
[
{
"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-10, 3, -7, -14, 14, 6],\n [-11, 6, 14, -6, -11, 7],\n [-12, -14, 8, 5, -15, -1],\n [5, 11, 12, -5, -14, 4],\n [-15, 3, -11, 7, -12, -5],\n [1, 10, -4, 1, 14, -4],\n [8, -11, -9, -5, -13, 12]]\nB =\n[[10,... | -55 | MATH |
[
{
"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[1, 14, -13, -4, 12, -10, -2],\n [-7, -6, -8, 1, 13, -11, 15],\n [-5, -3, 13, 14, -14, -7, 12],\n [13, -1, -11, 13, 7, -8, 11],\n [-13, -10, -4, -15, -1, 13, -8],\n [-3, -10, -4, -14, 9, -5, -11],\n [-9, -2, 1... | 9489 | MATH |
[
{
"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-7, 12, 5, 10, -1, 5],\n [-5, 8, 4, -9, -5, 6],\n [3, 8, -7, 4, -4, -3],\n [10, -4, -4, -9, 6, -5],\n [-11, 7, -10, -3, -8, -3],\n [-14, 15, 3, -2, 14, -15]]\nB =\n[[8, -9, -11, 13, 3, -9, -9],\n [-11, 3, 11,... | 6057 | MATH |
[
{
"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, 9, 5, 2, 8, -12, 5],\n [-14, 8, 7, 5, -8, 3, 14],\n [7, 7, 11, -4, 11, 4, 8],\n [-13, 14, 7, 0, 1, -10, 9],\n [-4, -12, 6, -12, 7, 1, 9],\n [-6, 2, 6, 8, 8, -8, 7]]\nB =\n[[-10, 2, 4, 15, 8, -4],\... | 4402 | MATH |
[
{
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-14, -12, -12, 5, -7, 6, -11],\n [-3, -10, 5, 14, -6, 5, -5],\n [-1, 2, 4, 14, 4, 4, -4],\n [-2, 11, 7, 9, -1, -7, 1],\n [13, -7, -2, 10, -15, 10, 11],\n [-11, -9, -10, -13, 10, 14, 5],\n [3, 5, 2, -5, -2, 10, 10]]\nB =\... | 2019 | MATH |
[
{
"content": "What is the value at position (2, 7) when matrix A is multiplied by matrix B?\nA =\n[[10, 11, 13, 2, 5, -5, -7],\n [-11, 3, -2, 0, 15, -9, 2],\n [-7, -11, -11, -10, 3, 0, 0],\n [4, 7, -3, -10, 0, 1, 5],\n [-14, 10, -3, -1, 10, -12, 8],\n [10, 5, -14, 6, -5, -5, 4]]\nB =\n[[-6, 5, -10, -9, -3, -6, ... | -440 | MATH |
[
{
"content": "Find the value at position (6, 2) of the product of the following matrices:\nA =\n[[-15, 13, -2, -1, -13, -8, 8],\n [-15, -2, 8, 13, -13, 1, 5],\n [14, 5, 3, -4, -8, -2, -6],\n [-10, -1, 4, 15, -4, -4, 4],\n [-6, -4, 1, 12, -5, -15, 14],\n [14, 1, 6, 2, 0, -9, -14],\n [2, -12, -10, 12, -14, -7, 11... | -200 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-11, 10, -7, 15, 7, -10],\n [-5, -13, 10, -12, -1, 7],\n [-1, -10, 6, 4, -14, -11],\n [5, 4, 15, -9, -1, 0],\n [11, 9, 11, 8, -11, 11],\n [9, 1, -15, 2, -4, -9],\n [10, 9, -7, -6, -15, 14]]\nB =\n[[5, ... | 9870 | MATH |
[
{
"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-3, 11, -2, -1, 6, -7],\n [-3, -8, 2, -6, 9, -8],\n [-10, 1, -15, -6, -11, -9],\n [-14, 7, 12, -9, -7, 13],\n [12, -4, 8, 10, -13, 13],\n [-5, -15, -2, 11, -9, -9]]\nB =\n[[-7, -13, 1, 10, -7, -11]... | -105 | MATH |
[
{
"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-12, 12, -1, 2, 5, -1, 2],\n [8, 14, 10, 3, 3, 4, 3],\n [-12, 1, 13, -7, -3, -7, 7],\n [-11, -7, -2, -15, 8, 7, -10],\n [9, -13, -5, 0, -15, 12, 7],\n [-10, -6, 15, 7, -9, 9, -8]]\nB =\n[[7, -1, -6, 8, -8, ... | -399 | MATH |
[
{
"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[7, -6, 0, -9, -14, -6, -1],\n [-8, -7, -13, 9, 14, -3, 5],\n [-4, 7, -1, -11, -10, -14, 11],\n [-8, -10, 5, 3, 15, -7, -3],\n [2, 3, 7, 12, 6, 9, 7],\n [5, -14, -5, -10, -3, 7, -2]]\nB =\n[[-15, 10, 5, -7... | -651 | MATH |
[
{
"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[14, 4, 15, 6, 15, -9, 9],\n [0, 10, 1, 8, 6, -4, -5],\n [1, -1, 14, -11, 6, -7, 8],\n [-4, -14, 7, -12, 6, -15, 9],\n [-13, -3, -13, -7, 15, 0, 0],\n [-8, -6, 0, -10, -12, -3, -3],\n [14, -4, -14, 6, 13, -1... | -1161 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[9, 4, -4, 3, -15, 3, 12],\n [-7, -10, 0, -13, -2, -6, -12],\n [9, 1, -4, -7, -8, 13, -9],\n [2, 1, -8, -4, -8, 6, 8],\n [-1, 7, 15, 0, -6, 3, 11],\n [-13, 1, 8, -8, -9, 8, 2],\n [14, -7, 1, -9, 8, -15,... | 8139 | MATH |
[
{
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[12, 10, -6, -4, -12, -11],\n [-6, -5, 1, 12, -14, -2],\n [-8, -13, -11, -1, -5, -13],\n [10, -11, -6, 13, -11, -11],\n [-9, 3, -11, 4, -2, -11],\n [1, 10, -8, -15, 13, 13]]\nB =\n[[5, 12, 15, -10, 8, -8, 0],\n [-10, -11,... | -843 | MATH |
[
{
"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[5, 1, -3, -12, 13, -11, -10],\n [-14, -10, 3, 12, 4, 7, 5],\n [9, -14, -1, 2, -4, 5, 8],\n [3, -10, 13, -8, -14, -13, -5],\n [1, 4, 15, -5, -2, -9, 11],\n [0, 0, 12, 3, 2, -4, 12]]\nB =\n[[-15, 3, 13, -5, 4, ... | 6639 | MATH |
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[14, 13, 8, -5, 12, -4],\n [-2, 1, 7, -15, -4, -2],\n [6, -11, 1, 10, 7, 0],\n [10, -3, -10, 1, -7, 3],\n [-13, -2, 15, -3, -5, 3],\n [-1, -15, -11, -10, 5, -5],\n [-4, 13, 4, 10, -15, -10]]\nB =\n[[15, 3, 9, 0, 8, -10]... | -483 | MATH |
[
{
"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[14, -13, 13, 14, -10, -2],\n [15, -7, 2, 8, 6, 7],\n [-7, 2, 7, 2, 12, 3],\n [-3, -6, 10, 9, 12, -12],\n [2, 14, 11, -7, 12, 2],\n [-11, 9, -13, -8, 2, 1]]\nB =\n[[-7, -4, -5, 0, -3, -2],\n [9, -11, 3, -3... | 362 | MATH |
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, 9, -14, 9, -15, 8, -15],\n [-8, 12, 7, 6, 9, -14, -12],\n [-10, -11, -10, 14, 5, -15, -8],\n [7, 7, 6, 12, -15, -10, 5],\n [10, 1, 9, 10, 12, 14, -7],\n [5, 6, -4, 1, -11, 11, 0],\n [-12, 1, -9, 15, 6, 8, -5]]\nB =... | -1772 | MATH |
[
{
"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[12, 12, 4, -7, 1, 3, 13],\n [-9, -5, -2, 7, 15, -13, 8],\n [12, 4, -11, 12, -5, 8, -3],\n [11, -15, -10, -10, 14, 11, -15],\n [-15, -3, 7, 10, -7, -11, 6],\n [11, -5, 13, 1, 7, 15, -3]]\nB =\n[[-13, -1, 11,... | -684 | MATH |
[
{
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, 8, 10, -7, -9, -3],\n [15, -3, -12, -5, 1, 10],\n [-8, 8, 6, 7, 11, 13],\n [14, 0, -7, -2, 4, 10],\n [7, 15, -12, 12, 6, -9],\n [-14, 5, -2, -1, 2, -1]]\nB =\n[[-11, 5, -2, -8, 3, -14, 0],\n [12, -6, 14, 15, 12, 10, 0],\n [-... | 1914 | MATH |
[
{
"content": "Calculate the matrix product AB and find the value at position (3, 2) of the result:\nA =\n[[15, 13, -14, 13, -11, 11],\n [12, 11, 9, -2, 2, 8],\n [-1, -3, 8, 1, 8, -11],\n [-12, 7, 5, -5, 13, 6],\n [9, 10, 7, 15, -13, 6],\n [1, 14, 6, -15, 6, 6],\n [13, 4, -14, -11, 4, -14]]\nB =\n[[-10, -8, 12, ... | -254 | MATH |
[
{
"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[3, 6, 2, -1, 10, 3, 13],\n [-12, -5, 13, 12, 7, 12, 4],\n [-1, -4, -2, -5, -10, 3, 6],\n [2, -8, -15, -13, 14, -14, 8],\n [-11, -10, 11, 2, 14, 3, 3],\n [2, -9, 13, 12, 1, 4, -3],\n [15, 1, 8, -15, -1, -14, -... | 6705 | MATH |
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, -5, -4, -6, -7, -7],\n [12, -15, 9, -2, 2, 7],\n [-6, -6, -7, -11, 6, -6],\n [12, -5, -4, 6, 11, 14],\n [-4, 9, 1, 3, -5, 2],\n [-4, -11, -5, -12, 5, -11],\n [12, 15, -13, -1, 7, 4]]\nB =\n[[13, 9, 1, 12, 0, 11],\n ... | 740 | MATH |
[
{
"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[5, -3, -2, 2, 0, 7, 5],\n [6, 2, 7, -3, -8, -6, -9],\n [7, 6, -5, 4, -15, -14, 9],\n [5, -11, -4, -5, 6, -12, 3],\n [8, 5, -8, -14, -14, 15, 12],\n [12, -11, 0, 14, 11, 3, -3],\n [9, 2, 5, -1, 5, -13, -2]]\nB... | 6743 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -13, 14, 1, -12, 11],\n [13, -9, 15, -8, -7, -12],\n [14, -2, 2, 12, 1, 11],\n [-4, -4, -15, -11, -6, -8],\n [-4, 6, 3, 10, -5, -2],\n [-2, 1, 6, -13, 10, 11]]\nB =\n[[7, -11, -13, 7, -5, ... | 5882 | MATH |
[
{
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-4, -7, 2, -3, -1, -6, -9],\n [-8, 15, -9, -4, -13, 13, -3],\n [-7, 3, -8, 13, -15, 2, 10],\n [-7, 1, -2, 0, -6, -3, -4],\n [-4, -13, -15, -6, 13, -14, -11],\n [-14, -4, -9, 0, 2, -8, 3]]\nB =\n[[-10, 9, -5, 0, 2, 13, -11],\n [... | 2001 | MATH |
[
{
"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-11, 2, -2, 5, -7, -3, 8],\n [8, 9, 1, 4, 8, 7, -10],\n [-10, -10, 15, 15, 13, 14, -9],\n [6, 8, 7, -2, -4, 1, -14],\n [-13, 12, -6, -13, 7, 9, 9],\n [-13, 9, -13, 6, 10, -3, 8],\n [15, 6, 2, 8, 11, -1, -9]]\... | 9245 | MATH |
[
{
"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[13, -11, -11, 11, 0, 6, -1],\n [-10, 15, -12, 12, 3, -13, 11],\n [-6, 8, 1, -3, -10, 1, 11],\n [-10, 0, 12, -13, -7, -14, 6],\n [12, -10, 3, 7, -5, -7, -13],\n [1, -9, -6, -5, -13, 7, 5],\n [-10, 10, -3, -1... | -153 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-6, 1, -2, 3, 2, 14, -15],\n [13, -6, 11, -14, 2, 7, 4],\n [-11, -13, 5, -7, 13, 4, 12],\n [-2, -11, 4, 6, -10, -6, 11],\n [9, -1, 11, -10, 12, -2, -3],\n [-4, -2, -2, -3, -10, -7, -7]]\nB =\n... | 7033 | MATH |
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"content": "What is the value at position (1, 3) when matrix A is multiplied by matrix B?\nA =\n[[-6, -12, 7, 14, -13, -9],\n [14, 9, -10, -7, -4, 5],\n [-13, 0, -13, 6, -3, 3],\n [1, 0, -9, 12, -12, -15],\n [14, -10, 9, 11, 14, 11],\n [9, -5, 15, -10, -4, 2],\n [12, 1, 11, 2, 7, 14]]\nB =\n[[13, -14, 0, 6, -... | -26 | MATH |
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"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[14, -13, -6, 9, -8, 3],\n [4, 12, 3, -1, 3, -6],\n [-13, -6, -12, -6, -4, 0],\n [-7, 10, 2, 1, -15, 9],\n [-2, 14, -14, -10, 9, -13],\n [-1, -11, 0, -8, 15, 5],\n [1, -8, -6, 9, -3, 15]]\nB =\n[[12, -1, -14, 6, 14, -2]... | -51 | MATH |
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"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-11, 15, -11, -6, -14, 2, -2],\n [-4, 15, -15, -14, -15, -14, -15],\n [-10, 8, -3, 4, 0, 2, -1],\n [-6, -14, 0, 11, -7, 7, 2],\n [10, -5, -15, 14, 15, -6, 1],\n [12, 15, 8, 2, 3, 4, -4],\n [15, -8,... | -826 | MATH |
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"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-7, -6, -10, 12, -5, -6, 9],\n [-7, 13, -10, 15, 0, 2, 4],\n [-2, 0, 14, -13, 9, 10, -1],\n [-11, 3, -6, -1, 5, -2, -5],\n [-7, -4, 13, -8, 15, -6, -14],\n [-6, 9, -2, 7, 6, 4, 12]]\nB =\n[[0,... | 6164 | MATH |
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"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[5, -15, -1, -1, 11, -10],\n [6, 0, -15, -14, -7, -4],\n [3, 6, -6, 5, 5, 2],\n [8, -13, -9, 12, 15, 6],\n [-6, 1, -5, -13, -8, -11],\n [-13, 11, -9, -8, -11, 13],\n [-14, -8, -15, -10, -7, -14]]\nB =\n[[-... | -51 | MATH |
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"content": "Calculate the matrix product AB and find the value at position (6, 1) of the result:\nA =\n[[14, -7, 6, 2, -7, -7],\n [14, -14, 9, -9, 9, 6],\n [-3, 5, 13, 6, 0, 14],\n [-6, -14, 15, 10, 10, 11],\n [1, 11, -13, -2, 6, 3],\n [11, 0, 10, 5, -8, 4]]\nB =\n[[-5, 10, -7, 5, -14, 1],\n [-1, -11, -3, 15,... | 15 | MATH |
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