messages listlengths 1 1 | ground_truth stringlengths 1 5 | dataset stringclasses 1 value |
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[
{
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, 7, 2, -2, -5, 8],\n [-6, 6, 10, -2, -2, 11],\n [8, -9, -5, 11, -10, 9],\n [8, -11, 11, -1, -7, -11],\n [8, -12, -1, 9, -1, 12],\n [4, -3, 3, 2, 2, 6]]\nB =\n[[-1, 10, 7, 12, -10, -8, 6],\n [-6, 8, -4, -6, 5, -9, 12],... | 327 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-9, 1, 3, 2, -5, 1],\n [10, 12, -5, 8, 3, 0],\n [5, 2, 8, 11, 12, 0],\n [-4, 2, 0, -12, 12, -6],\n [-4, 11, -12, -1, -5, 11],\n [-2, 6, 4, -5, -10, -10]]\nB =\n[[-12, -8, -3, -6, -4, -6],\n [-... | 4057 | MATH |
[
{
"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[0, 6, -6, 4, 7, -9],\n [-8, 10, -6, 0, 2, -2],\n [-9, 0, -6, 6, 9, -11],\n [-3, 0, 12, 8, -7, -1],\n [-1, 7, -2, 10, 12, -6],\n [-12, -12, 12, 12, 7, 0]]\nB =\n[[-4, -10, -6, -7, -5, -4],\n [-8, -1... | -406 | MATH |
[
{
"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-12, 6, -11, 8, -1, -7, 10],\n [-9, 10, -2, 11, 4, -7, 11],\n [-8, 7, -11, -7, 9, -2, 3],\n [3, -12, -4, -7, 3, -10, 7],\n [-9, 6, -10, 6, 7, -6, 7],\n [-4, -12, -5, -6, 5, -5, -12]]\nB =\n[[-2, 12, ... | 4252 | MATH |
[
{
"content": "Find the value at position (3, 2) of the product of the following matrices:\nA =\n[[3, 12, -10, 12, 5, 1],\n [5, -11, 9, -10, 3, -4],\n [-9, -12, -9, -12, 1, 8],\n [3, 7, 11, -5, -6, -10],\n [4, -12, 3, -1, 6, 9],\n [10, 9, 1, -7, -7, 0]]\nB =\n[[6, 9, -5, -11, 8, -12, 2],\n [-12, -8, 3, 6, -9, -1... | -28 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[2, 9, 10, -11, -3, -11],\n [4, -5, -12, -4, -2, 9],\n [3, -6, -3, 10, -10, 5],\n [12, 11, 0, -6, 12, -9],\n [0, 7, -12, -5, 1, 3],\n [1, -1, 6, 10, 2, -11],\n [-11, 10, 9, 6, 12, 9]]\nB =\n[[9... | 4739 | MATH |
[
{
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, -4, -1, 8, -12, -12, 2],\n [-11, 9, 3, 12, -5, 0, 8],\n [-12, 3, -6, -8, 9, 10, -10],\n [-1, 3, 6, -8, 9, 12, 1],\n [-8, 2, 4, 1, 7, -8, -1],\n [3, 3, 8, -6, -9, -12, -8],\n [10, -3, 9, -8, -9, -11, 7]]\nB =\n[[-3, 6, -12, ... | 671 | MATH |
[
{
"content": "What is the value at position (6, 5) when matrix A is multiplied by matrix B?\nA =\n[[0, -2, 11, -9, 12, 8, 12],\n [-9, -3, -8, -4, 11, -10, 4],\n [-10, 3, -9, 5, 4, -6, 11],\n [10, -8, -1, 4, 10, 0, 10],\n [12, -10, -4, 4, 4, 7, 3],\n [12, 9, 0, 6, 4, -9, -1]]\nB =\n[[-4, 6, -1, -4, -6, 1],\n [7,... | -79 | MATH |
[
{
"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[1, 0, -5, -3, -4, 5],\n [-11, -8, -8, -7, 6, -5],\n [3, 0, -12, 9, 7, 4],\n [-6, 12, 0, -9, -9, -7],\n [6, -1, 9, -6, -3, 6],\n [-6, -10, 0, 0, 5, 7]]\nB =\n[[-5, -4, -6, -12, -10, 0],\n [12, 4, 12, 11, -... | 130 | MATH |
[
{
"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, 9, 9, -10, 3, 10],\n [12, -2, -1, -3, 3, -5],\n [-7, -1, 11, 8, -5, -9],\n [-5, 5, -8, -4, -9, 9],\n [4, -4, -12, 8, 7, 0],\n [3, 0, 1, -10, -7, 5]]\nB =\n[[6, -8, 2, 12, -11, -3],\n [11, 5, 0, -8... | 3682 | MATH |
[
{
"content": "What is the value at position (3, 2) when matrix A is multiplied by matrix B?\nA =\n[[-7, -10, 8, 10, -8, 8, -8],\n [-3, -3, 6, 4, 8, 1, -4],\n [1, -12, 6, 0, 0, -9, -12],\n [4, -5, -11, -5, -6, -11, 9],\n [9, -10, 5, -1, -12, 9, -1],\n [-8, 12, 4, 3, 2, 10, 2],\n [-8, 8, 1, -11, -2, 6, -6]]\nB =\... | -65 | MATH |
[
{
"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[10, 3, -2, 9, 3, -5],\n [-9, -5, -9, 11, 12, -10],\n [-10, 5, 6, 6, 8, -8],\n [5, -3, 9, 8, -7, -12],\n [-8, -4, -1, 1, -11, 4],\n [1, 0, -4, 12, 2, 12]]\nB =\n[[9, 2, 11, -2, 3, 4],\n [-9, -12, -5, 4, -10, 7],\n ... | -225 | MATH |
[
{
"content": "Find the value at position (7, 1) of the product of the following matrices:\nA =\n[[6, 2, 12, 10, -8, -3, -6],\n [12, 4, -6, 9, -1, 12, 4],\n [0, 7, 12, -9, -3, -10, -4],\n [0, 5, 2, -9, 2, 9, -11],\n [2, -5, -5, 4, -1, 6, -3],\n [-4, -8, -7, 7, -11, 11, 0],\n [-7, -8, 12, -12, 8, 9, 8]]\nB =\n[[-... | -197 | MATH |
[
{
"content": "What is the value at position (1, 2) when matrix A is multiplied by matrix B?\nA =\n[[-12, 7, 4, -1, 2, -12, 1],\n [-7, -8, -2, -9, 0, -2, -10],\n [-12, -7, 5, 11, -3, -8, 10],\n [-3, -1, -11, 0, -5, -11, 7],\n [-12, -8, -4, 4, -4, -2, 2],\n [11, -7, 10, -10, 4, -8, -1]]\nB =\n[[5, 1, 8, 11, -2, -... | -22 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-5, -5, 6, -6, 6, -7, -7],\n [-10, -6, 6, -5, -3, 7, 2],\n [2, -12, 7, -6, -9, -7, 12],\n [-12, -8, 10, -12, -9, 9, -11],\n [-3, -8, -3, -12, 9, -7, 0],\n [2, -9, 0, 11, 7, 11, 2]]\nB =\n[[-5, -8, 2, -... | 4019 | MATH |
[
{
"content": "Compute the value at position (6, 5) of the product matrix AB given:\nA =\n[[-4, 9, -2, 10, -12, 1],\n [-8, 8, 1, -9, 9, 10],\n [12, -12, 9, 10, 6, -5],\n [2, 8, 2, -4, 8, -4],\n [-3, 7, 12, 8, -4, -10],\n [7, 12, -2, -7, -11, -6],\n [5, -11, 4, -2, -1, 6]]\nB =\n[[9, 11, 12, -6, 7, -7],\n [8, 11,... | -174 | MATH |
[
{
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, 5, -12, 1, 6, 2, 5],\n [-11, 9, 4, 5, -7, 6, -9],\n [-12, -5, 10, -6, -10, -3, -3],\n [6, 1, -11, -12, 10, 10, 5],\n [-6, -5, -12, 12, 10, -10, 11],\n [10, -5, 9, 12, 2, -8, -10],\n [6, -12, 2, -5, -11, -10, 11]]\nB =\n[[1, ... | -103 | MATH |
[
{
"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-11, 8, -1, -10, 7, 9],\n [-1, 11, 4, -3, 11, 1],\n [10, 4, 5, 6, 4, 1],\n [-4, -5, -11, 0, 12, -6],\n [-4, 9, 9, -2, 1, -9],\n [0, -11, 10, -8, -2, -7]]\nB =\n[[5, 8, -3, -9, -4, -7],\n [-11, 4, -8, 12, -7... | -155 | MATH |
[
{
"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[8, -9, 6, 8, -2, -5],\n [-2, -9, 4, -6, -5, -10],\n [9, -11, 10, 2, 11, 9],\n [9, -8, 11, -12, -9, 2],\n [7, 6, -10, 7, -2, 4],\n [0, -2, -11, -4, -11, 8],\n [-4, -4, -5, 4, -12, 12]]\nB =\n[[-2, -5, -3, 12, ... | 4545 | MATH |
[
{
"content": "What is the value at position (7, 6) when matrix A is multiplied by matrix B?\nA =\n[[2, -4, 0, 2, -3, 3],\n [-6, 4, 10, 8, 9, -6],\n [1, 2, 8, -6, -4, 6],\n [3, -5, 5, 10, 5, 7],\n [-6, -10, 5, -3, -6, 4],\n [1, 11, -10, -1, 0, -11],\n [-10, -8, -2, -5, 10, 10]]\nB =\n[[-1, -6, 2, 11, 4, -9],\n [... | 161 | MATH |
[
{
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[12, -3, 12, -6, 7, -8, -12],\n [4, -10, 0, 1, 11, 5, -9],\n [5, -8, 12, 3, -12, 8, 1],\n [2, -4, 2, 4, 12, 11, -9],\n [-1, -8, -8, -2, -7, -6, 11],\n [1, 11, -2, 0, -11, 12, -6]]\nB =\n[[7, -9, -5, 7, 9, 8, 6],\n [0, 1, -3, -2,... | 1155 | MATH |
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, -4, -10, 12, -11, -1, -3],\n [-4, 2, -5, 12, -8, -2, -11],\n [11, 2, -7, -5, -8, 3, 5],\n [-7, -8, 3, 0, -8, 0, 4],\n [5, -5, 0, 6, -10, 11, -5],\n [-11, -5, 0, 0, -12, -7, 11]]\nB =\n[[6, 3, -5, -12, 3, -4],\n [0... | 1597 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, -10, 3, -7, 6, -6],\n [-3, -4, -11, 2, -8, 9],\n [-9, 7, -9, 5, -9, 4],\n [-1, 9, 4, -3, 9, -12],\n [9, 11, 5, 5, 1, 2],\n [-1, -9, -10, 7, -1, -6]]\nB =\n[[-2, -12, -7, 2, 2, 6, -2],\n [10, -11, 1, -11, -9, ... | -131 | MATH |
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, 2, -11, -10, 4, 12, 11],\n [-1, 5, 2, -1, 3, -5, 1],\n [12, 4, 8, -5, 2, 1, 5],\n [7, -6, -10, -1, 8, 11, -10],\n [7, 1, 2, 12, 1, -6, 4],\n [-1, 7, -9, -4, -7, 3, 12],\n [9, 9, 8, 8, -11, 11, -5]]\nB =\n[[-2, 0, 4... | -1065 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, 7, 9, -6, -11, -7],\n [-6, 1, 5, 2, -11, -3],\n [10, -1, 4, -5, -2, -10],\n [-7, -4, -7, -4, -6, -4],\n [5, -1, -5, -5, 5, 7],\n [2, -6, -2, 7, 3, -9],\n [-7, 9, -10, -4, -3, 1]]\nB =\n[[-2, 5, 9, -1, 10, -1]... | -90 | MATH |
[
{
"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-6, -1, 4, 8, 11, 7, -8],\n [-9, -1, 7, 11, 5, 4, 6],\n [-4, -9, 8, -11, -9, -11, 2],\n [-11, -9, -7, -6, -3, 6, 6],\n [9, -1, -10, 0, 5, -5, 8],\n [2, -12, -10, -5, -9, 3, 10]]\nB =\n[[-3, -1, 1, 1, -11, 1... | -226 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-3, -3, -1, -4, -12, -8],\n [7, -5, -2, -1, -12, 12],\n [9, 7, 12, -2, -8, 2],\n [-8, -1, -8, 4, 4, 11],\n [-1, 11, 2, 2, -7, -1],\n [7, 5, 1, -11, -4, -8],\n [7, -12, 10, -10, -7, -8]]\nB =\n[[8, -8, ... | 4382 | MATH |
[
{
"content": "Compute the value at position (4, 5) of the product matrix AB given:\nA =\n[[9, 2, -11, -12, 10, 10, -2],\n [-3, 5, 5, 4, -5, 2, -5],\n [4, -1, -5, 12, 1, -9, -12],\n [-12, 6, 3, 1, 8, 3, -8],\n [-4, -11, 5, -7, -4, -12, -4],\n [12, 3, 0, -4, 8, 0, -4]]\nB =\n[[-2, -9, -11, -7, 1, -9, -7],\n [6, -... | 117 | MATH |
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, -11, -7, 8, 12, -1],\n [-8, -11, 3, -8, 2, -1],\n [-9, 2, -2, 3, 10, -7],\n [1, 5, -1, -2, 0, 8],\n [10, -2, 10, 3, 2, 8],\n [2, 12, -9, -2, 6, 2]]\nB =\n[[-9, 8, 0, 9, 6, -11],\n [1, -9, 3, 8, 7, 1],\n [2, -10, -5,... | -374 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-9, 7, -9, 9, -6, 9],\n [-12, -1, 11, 0, -3, 2],\n [0, 10, 9, 9, 8, 9],\n [-4, -4, 2, -3, 11, 12],\n [-3, -5, 11, 3, 4, -8],\n [-9, 5, 11, 6, -9, -6]]\nB =\n[[-3, 12, 5, 6, -9, -3],\n [-12, 10, 5, -8, 2, 4],\n [... | -824 | MATH |
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, -10, -3, 9, -6, -4],\n [4, -2, -6, 11, 1, 6],\n [-9, -7, -3, -6, 0, 1],\n [-9, -5, -8, -12, -9, -10],\n [-4, -5, -12, -7, -4, -6],\n [-9, 0, 4, -11, -8, -1]]\nB =\n[[8, -5, -7, -5, 5, -10],\n [9, -1, -10, 9, -7, -11... | 385 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[4, 3, -1, -5, 7, -10],\n [3, 0, 10, 6, -5, 9],\n [-8, 7, -5, 11, -1, -12],\n [12, 8, 7, -7, 9, 5],\n [-5, -6, -12, 8, 3, -1],\n [-7, 7, -11, 1, -9, -12]]\nB =\n[[10, 5, 0, -11, -4, 8, -11],\n [12, -4, ... | 3995 | MATH |
[
{
"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[1, -4, 2, 8, -10, -11, -11],\n [-10, 5, 1, 7, 5, -3, 12],\n [-11, 12, 9, -12, -9, 1, -12],\n [1, 3, 9, 1, 7, -10, -10],\n [-4, -7, 12, 0, 8, -11, -5],\n [8, -11, -9, 12, 2, -9, 0]]\nB =\n[[-1, 0, 1, 7, 5, -7]... | 5318 | MATH |
[
{
"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, -9, -7, -6, 5, -8],\n [7, -10, -6, 9, 1, -6],\n [-8, 9, -8, 10, -11, 8],\n [9, -7, 2, 8, -3, 10],\n [11, -6, -8, -12, 0, 8],\n [5, 0, 8, 8, 5, -8]]\nB =\n[[0, -9, 4, -10, 4, -2],\n [8, 7, 10, 8, -... | 3713 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, 8, -2, 10, -11, -5, 9],\n [-5, 4, 2, 4, 10, 11, 0],\n [6, -8, -1, -12, 10, -8, -5],\n [0, -5, 12, 10, -2, -12, 0],\n [6, 11, -10, 11, 4, -8, 7],\n [8, -5, 1, -9, -2, 7, 2],\n [6, -6, 6, 6, -2, -8, -8]]\nB =\... | 94 | MATH |
[
{
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, 7, 8, -1, 6, 1, 4],\n [11, 8, -10, 10, -6, 4, -1],\n [-4, 2, 5, 8, 0, 8, -5],\n [1, -5, 1, -6, 10, -1, -2],\n [9, 9, -2, 12, 9, 0, 5],\n [-11, 8, 2, 7, 5, 2, 6]]\nB =\n[[10, 11, -1, 0, 9, -2, -8],\n [-12, 11, -10, 9, ... | -1652 | MATH |
[
{
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, 4, 1, 1, 12, -11],\n [8, 12, 7, -2, 3, 6],\n [10, -7, 11, 6, -8, -9],\n [2, -9, 7, -3, 11, 9],\n [-10, -8, -7, 8, 9, -5],\n [-6, 8, -3, -7, 1, -9]]\nB =\n[[12, 0, 7, 4, 10, -6, -9],\n [1, -10, 11, -8, 3, 10, 7],\n [-9, 11, ... | -308 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, -2, 12, 9, 0, -12, 4],\n [-7, -9, 7, 3, 2, 2, -7],\n [2, 1, -2, -6, -4, 3, -8],\n [12, 7, -3, 5, -10, 0, -2],\n [4, 9, 0, -7, 4, 0, 6],\n [8, 6, -3, -10, 1, 6, -8]]\nB =\n[[-8, 7, 4, 8, -3, -8, -9],\n [-7, -9... | -782 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[11, -2, 7, 5, -2, 12],\n [8, -9, 5, -12, -6, -7],\n [2, 5, 11, -2, 7, 11],\n [2, 3, -6, 8, -3, -1],\n [11, 1, 12, -8, 8, 5],\n [-8, -10, 10, -8, 11, 4],\n [6, 6, 12, 8, -1, 12]]\nB =\n[[-4, -12, 5, 8, -9, -3],\n... | -1145 | MATH |
[
{
"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[3, 3, 6, -6, 9, -1],\n [11, 2, -5, -7, -3, -10],\n [6, 4, -6, 8, 7, -9],\n [1, 7, 9, 2, 11, -5],\n [8, 2, 9, 7, 1, -4],\n [-5, 4, -11, 12, 11, -10]]\nB =\n[[-5, -1, -12, -3, 7, -10, -7],\n [-6, 7, 10, 12, 5, ... | 4080 | MATH |
[
{
"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-10, 0, -10, 5, -2, -5, -7],\n [-12, -12, 10, -5, -8, 3, -2],\n [-8, -9, -7, 1, 9, 6, -4],\n [-1, -2, 1, 10, 3, -12, 0],\n [10, 8, 8, 0, -11, -9, -7],\n [10, -8, 12, -10, -12, -9, 12]]\nB =\n[[7, -11, -8, -10, -4,... | -301 | MATH |
[
{
"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, -1, -2, 2, -10, -12, 7],\n [3, -11, -11, -10, -5, 11, 2],\n [-6, -7, -4, 7, -12, -5, 10],\n [10, -10, -9, 12, 2, -7, 2],\n [8, -10, 12, 8, 8, 1, 7],\n [1, -9, -1, 4, -6, -4, -10]]\nB =\n[[0, 2, 5... | 4807 | MATH |
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, -9, -5, 4, -4, -12, 11],\n [7, 12, 1, -2, 8, -10, -4],\n [1, -4, -9, -9, -5, -11, -4],\n [1, 9, -4, 11, 10, 3, 4],\n [3, -1, -10, -2, 1, 5, 8],\n [8, -8, 3, 7, -8, -10, -1],\n [-12, 8, -4, -4, -9, -10, 4]]\nB =\n[[-... | -163 | MATH |
[
{
"content": "Compute the value at position (1, 1) of the product matrix AB given:\nA =\n[[10, -7, -7, 9, 12, 5],\n [4, -1, -7, -5, 6, -3],\n [-12, 12, 0, 4, -10, -5],\n [1, -10, 3, 0, 7, 11],\n [4, 0, -7, 4, 1, 4],\n [-5, -2, 7, -12, -6, 8]]\nB =\n[[8, 4, -3, -2, 9, -4],\n [-4, 11, -8, 4, -4, 4],\n [11, 8, 6, ... | 7 | MATH |
[
{
"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-1, 3, -12, 0, -6, -8],\n [-5, 12, 1, 10, 0, 2],\n [10, 4, 2, 7, 5, 5],\n [-11, -9, -12, -9, 5, -8],\n [6, 2, -5, 7, 4, -12],\n [-1, 6, 2, -4, -6, -11]]\nB =\n[[-4, -3, -11, 6, -2, 0],\n [-3, 1, 5,... | -728 | MATH |
[
{
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[12, 10, 11, 12, -7, 8],\n [9, -2, 5, -9, -10, 0],\n [10, -4, 8, -7, -1, -11],\n [-10, -10, -1, 2, -4, 10],\n [-5, -2, 3, 12, 9, -9],\n [-12, 11, -6, -11, 11, -8]]\nB =\n[[-6, -9, -8, 11, -12, -12, 2],\n [7, 6, -3, 5, -10... | -579 | MATH |
[
{
"content": "What is the value at position (3, 2) when matrix A is multiplied by matrix B?\nA =\n[[6, 5, -7, 2, 8, -3],\n [-8, -8, -3, -8, -10, 10],\n [-7, -9, 5, -4, 4, 0],\n [2, 7, 4, 0, 3, 9],\n [-9, -8, -8, -4, 4, 0],\n [-11, 0, 9, 8, 10, 6]]\nB =\n[[-10, -3, -11, 0, 6, 4, 8],\n [1, -1, 8, -1, -2, -6, -9],... | 54 | MATH |
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, -11, -2, 9, 0, 2, -1],\n [9, 8, 9, -2, -6, -8, 4],\n [11, 7, -4, 1, -1, -7, 4],\n [6, 6, 3, -1, -1, 7, -7],\n [10, -9, -7, -2, -12, 11, 10],\n [2, -2, 12, 6, 5, 4, 6]]\nB =\n[[8, 1, 5, 6, 2, 2, -9],\n [-6, 0, -10, 3... | 492 | MATH |
[
{
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, -5, 4, -5, -6, -6, -10],\n [-12, -9, 12, -8, -12, 2, -8],\n [0, -5, -5, -8, -4, -12, -9],\n [-10, -11, -5, 10, -4, -11, 1],\n [1, -9, -7, -2, -10, -5, -10],\n [1, 0, 0, -11, 0, 6, -7],\n [3, -11, -5, 4, 10, -11, -3]]\nB =\n[... | -1813 | MATH |
[
{
"content": "Calculate the matrix product AB and find the value at position (2, 3) of the result:\nA =\n[[1, 5, 1, 7, 8, 11],\n [2, 9, -9, 0, 10, -5],\n [5, -1, 10, 1, -11, 5],\n [11, -11, -2, -4, -1, 4],\n [2, 12, 4, 5, 9, -7],\n [4, 10, 11, 5, -5, -4]]\nB =\n[[-7, -8, -1, 12, -2, 12],\n [-12, -2, 6, -4, -11,... | 62 | MATH |
[
{
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, -2, 0, -8, -12, 11, -1],\n [-2, 4, -9, 2, 12, -4, 8],\n [7, 6, 6, -1, -8, -3, 4],\n [-8, 9, 3, -6, -4, -10, 2],\n [3, 5, 1, -10, -1, -4, -6],\n [-4, 0, 5, -8, 0, -9, -11]]\nB =\n[[3, -4, -4, -7, -2, 9, 11],\n [9, -12, -9, 0,... | -403 | MATH |
[
{
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[11, -11, 9, 4, -9, 1],\n [-3, -10, 12, -10, 2, -7],\n [4, -1, 9, 7, 11, -2],\n [12, -9, -7, -12, 7, 10],\n [3, 2, 4, -5, -1, 9],\n [8, -3, 2, -4, -11, -8],\n [-7, -6, 8, 12, -12, 10]]\nB =\n[[-6, 7, 12, -1, 3, 3, -2],\n ... | 1782 | MATH |
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, 2, 9, -4, 4, -1],\n [-6, -3, 12, 12, -3, 0],\n [6, -2, 0, 8, -5, -5],\n [-9, 2, -2, -2, -12, 4],\n [2, 7, -7, 11, 9, 12],\n [2, -4, 1, 5, 4, 5],\n [-8, 7, 7, -4, -2, 11]]\nB =\n[[9, -12, 5, -7, -11, 2],\n [8, 1, -8... | -872 | MATH |
[
{
"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-10, 3, 11, 12, -1, -2],\n [-8, 12, 5, 6, 10, 10],\n [-7, 9, 5, -7, -9, -1],\n [6, -11, 4, -2, -2, 8],\n [3, -11, -11, 10, -5, 0],\n [-3, -5, -9, 2, -12, -2],\n [-6, 4, 7, 11, 5, 9]]\nB =\n[[9, -1, -4, -8... | -130 | MATH |
[
{
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, -6, 1, 4, 5, 0, 7],\n [7, 8, 5, -9, -12, 5, -12],\n [0, 7, 7, 10, -3, -2, -4],\n [-4, -8, -12, 4, 9, -11, 11],\n [0, -4, -9, -8, -2, 11, 6],\n [8, -10, -1, 6, 6, 0, -6],\n [2, 10, -6, -5, -8, 8, 1]]\nB =\n[[-9, 10, -3, 7, 2,... | -8 | MATH |
[
{
"content": "What is the value at position (7, 2) when matrix A is multiplied by matrix B?\nA =\n[[-8, 8, -4, 12, 12, 9],\n [-7, -8, 12, -3, -5, -6],\n [-6, -7, 8, 7, -10, 6],\n [9, 2, -9, -1, -7, 6],\n [-9, 2, -4, -8, 0, 10],\n [5, -8, 12, 3, 6, 1],\n [12, 3, 2, 9, -9, -6]]\nB =\n[[3, 11, 9, 8, 9, 8],\n [-5, ... | 64 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-11, -5, 2, -6, -7, -12, 2],\n [10, -6, 12, 4, -11, -4, -4],\n [0, -7, -7, 7, 7, 8, -10],\n [4, 4, -1, 3, 2, 0, 10],\n [-12, 4, -10, 2, -9, -9, 5],\n [4, 6, -2, 7, -10, -5, 1]]\nB =\n[[-12, 1, -11, 10, -9, 11, 6... | -333 | MATH |
[
{
"content": "Find the value at position (5, 5) of the product of the following matrices:\nA =\n[[5, 7, 3, -5, -12, 4],\n [-1, 8, -2, -8, -1, 4],\n [-7, -12, -8, 12, 1, -8],\n [9, 11, -12, 5, 3, -4],\n [6, 9, -8, -11, 2, -6],\n [-9, -12, 0, 7, 9, -6]]\nB =\n[[2, 10, 1, 10, 6, 9],\n [11, 7, 11, 5, -3, -4],\n [12... | 66 | MATH |
[
{
"content": "What is the value at position (3, 1) when matrix A is multiplied by matrix B?\nA =\n[[-3, -7, 9, -2, 10, -6],\n [2, -7, 7, -4, 9, 7],\n [-1, 6, 7, -10, 2, -11],\n [8, -11, 9, -10, -7, 2],\n [-3, -4, -12, 3, -7, -4],\n [-9, -11, -9, -12, 6, 12],\n [-3, 8, 2, 9, 6, 3]]\nB =\n[[8, 11, 9, -9, -11, 12]... | 61 | MATH |
[
{
"content": "Find the value at position (5, 4) of the product of the following matrices:\nA =\n[[2, -9, -4, 6, 11, 4],\n [-2, 12, -4, -3, 5, 7],\n [0, -5, -6, 4, 8, 10],\n [2, 7, 2, -12, 12, 1],\n [-8, -2, 3, -11, -5, -2],\n [5, -10, -12, -2, 3, 5]]\nB =\n[[3, 10, -3, 5, -7, 6],\n [-9, 0, 11, 1, -10, -3],\n [-... | -95 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -7, -5, -9, 5, -2],\n [-8, 2, 5, -11, 9, -2],\n [12, 0, -9, 9, -6, -2],\n [9, 11, -9, 2, -12, 10],\n [-10, 1, -7, 5, 12, -12],\n [-7, -7, 8, 3, -8, 4]]\nB =\n[[-3, 8, 5, -6, -10, 0],\n [2,... | 3990 | MATH |
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, 8, -4, -7, 6, 0, -10],\n [-6, 9, -4, 9, -8, -3, 10],\n [4, -1, 10, 3, -10, 12, 9],\n [-4, 2, -8, 10, 0, 1, 7],\n [2, 3, 10, 0, 4, 10, -5],\n [8, -11, -8, -7, -1, 5, 9]]\nB =\n[[9, -12, 4, -2, -3, 6, 1],\n [-3, 2, 6,... | -236 | MATH |
[
{
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, -6, 11, 4, -6, 0],\n [-8, 4, -10, -6, 4, -6],\n [8, -12, 4, 4, -2, 12],\n [-10, 2, 8, -2, 3, 12],\n [9, -4, 11, 11, -12, 12],\n [9, 3, -4, 6, -1, 6]]\nB =\n[[9, -4, -6, 1, 6, 6, -11],\n [-4, 0, 2, -10, -2, 8, 1],\n [12, -5, ... | 112 | MATH |
[
{
"content": "Find the value at position (3, 7) of the product of the following matrices:\nA =\n[[6, -10, 9, 1, -5, 10],\n [-9, 7, -2, -2, -2, -11],\n [4, -4, -11, 11, 2, 3],\n [12, -9, -5, -4, -8, 3],\n [0, -6, 7, 4, -10, -8],\n [6, -1, -6, -4, -7, 4]]\nB =\n[[3, 10, -10, 8, -9, -3, -8],\n [8, 9, -3, -1, -3, 0... | -11 | MATH |
[
{
"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-12, 0, 8, 1, 0, -9],\n [-6, 9, -3, -6, 8, 2],\n [2, -9, 10, 10, -7, 11],\n [7, -8, 7, -1, -12, -5],\n [-12, -8, 9, -7, 8, -10],\n [2, -8, 11, 1, 5, 3]]\nB =\n[[-7, 12, 11, 1, 11, -5],\n [-6, -5, 0, ... | 4101 | MATH |
[
{
"content": "Compute the value at position (6, 5) of the product matrix AB given:\nA =\n[[3, 8, -10, 9, -7, 1],\n [11, 5, 4, -9, 10, 2],\n [-2, -10, -10, 3, -8, 8],\n [-3, 6, 12, -9, 6, -2],\n [-11, -3, -2, 12, 7, 3],\n [6, 10, 11, -2, 1, -11],\n [10, -8, -8, 6, 8, -1]]\nB =\n[[5, -9, 9, 4, -3, 7, -7],\n [12, ... | 68 | MATH |
[
{
"content": "What is the value at position (2, 5) when matrix A is multiplied by matrix B?\nA =\n[[1, 5, 7, 5, 3, -12],\n [10, -2, 2, -1, -5, 9],\n [7, -7, -10, 11, 0, 0],\n [-11, -8, 4, -7, -11, -9],\n [9, -2, -5, -1, -5, -2],\n [9, 7, -5, -5, 4, 7],\n [7, 10, 3, 1, -2, -6]]\nB =\n[[3, 0, 2, 11, 3, 8],\n [10,... | 56 | MATH |
[
{
"content": "What is the value at position (6, 7) when matrix A is multiplied by matrix B?\nA =\n[[-1, -11, 7, 5, -7, 11],\n [-3, 7, 2, -8, 7, -10],\n [-8, 12, -5, -5, -5, -1],\n [11, 10, -5, -2, 1, -5],\n [11, -3, -6, 4, -9, 0],\n [-9, -8, 9, -9, 5, -7]]\nB =\n[[11, 11, 10, 9, -11, 10, -2],\n [1, -8, -7, -3, ... | 135 | MATH |
[
{
"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[10, -6, 0, 4, -4, -5],\n [7, 8, 5, 0, 3, -4],\n [-1, -1, -7, 6, -6, 12],\n [-10, 3, 5, 3, 10, -6],\n [-9, 12, -5, 0, 0, 4],\n [4, -8, -7, 6, 0, 12],\n [1, 9, -9, -6, -5, 12]]\nB =\n[[0, -7, -7, 11, 8, -10... | 133 | MATH |
[
{
"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[9, -9, -12, -12, 2, 0, 4],\n [11, -5, 5, 0, 10, 1, -5],\n [-5, 2, 0, -6, -8, 4, 12],\n [3, 10, -11, 9, 5, 4, -6],\n [0, 5, 1, 5, 0, -2, 8],\n [8, 3, 10, 4, -5, 6, 7]]\nB =\n[[2, -4, 7, -3, -1, 8],\n [10, ... | -73 | MATH |
[
{
"content": "Calculate the matrix product AB and find the value at position (6, 7) of the result:\nA =\n[[8, -5, 10, 11, -7, 9],\n [5, -7, -8, 0, 6, 9],\n [-5, -4, 4, -10, 6, -2],\n [11, 4, 8, 6, -11, -5],\n [6, -6, 4, -7, 6, 11],\n [-7, -11, -7, 10, -8, 6],\n [7, -9, 9, 4, -2, -9]]\nB =\n[[0, 7, 4, -4, -9, 10... | -55 | MATH |
[
{
"content": "What is the value at position (4, 6) when matrix A is multiplied by matrix B?\nA =\n[[7, -5, -3, 6, -10, 11, -8],\n [-10, 3, 4, 2, -10, -1, -4],\n [8, -1, 2, -11, 10, 5, 7],\n [-1, 10, -9, 10, 3, 10, 3],\n [-12, 9, 12, -11, -10, 8, 12],\n [7, 4, 7, 9, 8, -12, 7],\n [-7, 2, 1, 7, 2, 1, 12]]\nB =\n[... | 104 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[9, -4, -6, 8, 11, 2],\n [-11, 10, 7, 12, -1, -12],\n [10, 9, -5, -8, 2, -12],\n [-12, 12, -3, 9, -3, 8],\n [2, 4, 9, -7, -10, 0],\n [3, -5, 2, 4, 4, 9]]\nB =\n[[0, 4, -7, 4, 3, 1, 0],\n [-7, -10, 1, 1,... | 4562 | MATH |
[
{
"content": "Compute the value at position (3, 2) of the product matrix AB given:\nA =\n[[10, 2, 6, -2, 2, -1, -10],\n [4, -10, 6, 7, -9, -10, 3],\n [-1, -5, 11, 4, -6, -2, 5],\n [-12, -10, -9, 0, -7, 1, -8],\n [3, 2, 2, -9, -5, 3, 3],\n [-9, 0, 0, -11, -10, 9, -5],\n [11, 2, -2, -4, -6, 0, -11]]\nB =\n[[-5, -... | -32 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-2, -2, 4, -9, -9, 4, -4],\n [6, -8, 9, 11, -7, -10, 9],\n [-12, 7, 9, 3, 10, -2, 0],\n [-3, -10, -4, -1, 10, 1, -12],\n [5, 4, -4, -4, 10, -3, 6],\n [2, -8, 2, 7, 10, 12, -11],\n [0, 11, 3, 2, 12, -3,... | 4940 | MATH |
[
{
"content": "What is the value at position (5, 6) when matrix A is multiplied by matrix B?\nA =\n[[-11, 2, -5, -6, 2, 10],\n [1, -5, -1, 0, -2, 4],\n [4, 11, -9, 8, -5, -8],\n [3, -9, 9, 2, -1, -8],\n [10, 3, 1, -3, -6, 0],\n [7, -8, -10, 2, -9, 2],\n [1, 7, 6, 0, -3, 8]]\nB =\n[[-8, 10, 7, 7, 12, -7],\n [-9, ... | -162 | MATH |
[
{
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[12, 7, -4, -9, 5, 5],\n [-8, 7, 10, -2, -8, 9],\n [-9, -1, -11, 0, -3, -4],\n [-3, -6, -9, 6, -3, -10],\n [12, 8, 6, 8, -11, 7],\n [-3, -11, -11, 11, 4, 3]]\nB =\n[[3, 1, -6, 8, -2, 11, -12],\n [-2, 10, 8, -9, -6, 2, 5],... | -246 | MATH |
[
{
"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[4, 3, -11, 9, 7, -7],\n [12, -3, -3, -5, -12, 0],\n [11, -4, 9, -3, 2, -8],\n [9, 3, 0, 9, 12, 7],\n [5, -2, -4, 3, -11, 12],\n [-11, -1, -5, -4, -1, -4]]\nB =\n[[-3, 12, -11, 3, 7, -6],\n [-11, -12, 6, -9, 11, 9]... | 148 | MATH |
[
{
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, -9, 9, 1, 3, -9, 11],\n [12, -12, 0, -9, 7, 5, -7],\n [-10, 10, 0, 3, -8, -9, 8],\n [-5, 6, 1, -6, 1, -7, -1],\n [3, 4, 0, 10, 1, -6, 1],\n [2, -1, 4, -4, 9, 2, -1]]\nB =\n[[-11, -8, 0, 7, 10, -5, 1],\n [2, -2, -12, 8, -10, ... | -412 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, 2, -12, 4, -11, 7, -7],\n [-5, 3, 6, -12, -10, -10, -8],\n [-1, -1, 7, 0, 7, -4, -6],\n [-9, 6, 9, 6, -7, 0, -2],\n [0, 0, 12, 9, 7, 2, 8],\n [0, 9, -2, 6, -5, 7, -5],\n [-3, 3, 6, 10, -2, 0, -4]]\nB =\n[[7, ... | -806 | MATH |
[
{
"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[8, -8, 1, 8, 11, 3, 12],\n [0, 12, 9, 9, 12, 7, 9],\n [-9, -2, 4, -6, 1, -2, 9],\n [-4, 10, 0, 10, 5, -2, 2],\n [12, 12, 9, 6, -12, -9, 1],\n [1, -10, 4, -10, 3, 1, 7]]\nB =\n[[0, 2, 1, 11, 12, 6],\n [-7, -3, 2, 8... | 392 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-6, 5, -4, -10, -5, 11],\n [6, -9, 5, 7, -2, 1],\n [12, 5, 3, -10, 2, -9],\n [-8, 4, -6, 3, 1, 3],\n [-6, -4, -9, 9, -2, -11],\n [-1, -1, -9, 5, 8, -6]]\nB =\n[[-12, 10, 0, -7, -7, -1],\n [-5, 11, 9, 6... | 3793 | MATH |
[
{
"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[5, -10, -6, -2, 5, -1, -7],\n [-8, -12, -1, -2, -9, 5, -9],\n [4, -11, 11, 9, -11, -1, -7],\n [-3, 12, 10, 12, 8, 10, 3],\n [1, -6, 6, 10, 4, -4, 0],\n [9, -8, 10, -8, -3, 8, -3],\n [-6, 2, -6, 2, -10, 6, -3]... | 4305 | MATH |
[
{
"content": "What is the value at position (2, 7) when matrix A is multiplied by matrix B?\nA =\n[[12, 5, -1, 12, 4, 1, 3],\n [1, -4, -9, 12, 10, -2, -7],\n [2, -8, -2, 12, 5, 0, -2],\n [1, 5, 12, 6, 11, 2, -4],\n [-5, 7, -12, -9, 1, 12, -11],\n [3, -10, -5, -7, 3, 11, 3]]\nB =\n[[-6, 0, 0, -8, 12, 7, 9],\n [5... | -17 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[7, 4, -8, -10, -11, -10],\n [-5, 3, -7, 0, 10, 9],\n [9, 3, 3, -10, 0, 1],\n [-5, -1, 10, 10, 9, 8],\n [-5, 8, 12, -4, -12, -7],\n [10, 6, 10, -2, -2, 10],\n [0, -2, 5, 10, 2, -12]]\nB =\n[[8,... | 3964 | MATH |
[
{
"content": "Calculate the matrix product AB and find the value at position (3, 5) of the result:\nA =\n[[-7, -7, 0, -2, 1, -11],\n [-5, -10, 10, 8, -10, -12],\n [11, 6, 5, 4, 7, 11],\n [0, -10, -12, -9, 12, 0],\n [4, -2, -11, 12, 3, -11],\n [6, 10, 6, 12, 3, 9],\n [6, -4, -12, -3, 6, -12]]\nB =\n[[-11, 3, -1,... | 25 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[5, 2, -11, 0, -9, -3],\n [0, -3, -4, -5, -10, 3],\n [1, -4, 8, -2, -10, -8],\n [-3, 0, -9, 11, 0, -1],\n [-8, -3, 11, -4, 7, -6],\n [-11, 9, 11, 10, -6, -5]]\nB =\n[[-6, 8, 10, 1, 6, -8],\n [10, 12, 5,... | 3319 | MATH |
[
{
"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, 12, -1, 10, -10, 10],\n [1, 4, 6, -7, -9, -6],\n [6, 4, 12, 3, 2, 9],\n [-5, 6, -5, 5, 3, 7],\n [6, -3, 4, 0, 0, -6],\n [-3, -11, -9, 12, -7, 11]]\nB =\n[[5, 10, -7, 12, 10, 4, 1],\n [11, -2, 6, -... | 4682 | MATH |
[
{
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, -6, -1, 10, -4, -2, -3],\n [8, -12, 5, -9, -8, -4, 4],\n [-10, 3, -8, 3, -10, 7, 2],\n [-10, 7, 1, 3, 4, 11, 7],\n [10, 5, 5, 9, 1, 5, 2],\n [2, -7, 2, 5, -9, 10, -5],\n [2, -10, 2, 0, -4, -11, 11]]\nB =\n[[-5, 7, 4, 0, -12... | -1859 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-6, -11, -7, 4, -6, 12],\n [-8, -8, 7, 3, 6, -4],\n [-8, -5, -4, -8, -3, 12],\n [-11, -4, -2, -9, 9, 9],\n [9, -11, 10, -7, 1, -12],\n [5, -6, -12, -12, -12, 11],\n [-9, -9, 5, -2, -12, -3]]\n... | 5435 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[4, 7, 5, -2, 8, 1, -4],\n [2, -1, -3, 6, 11, 6, -7],\n [7, 11, -7, -5, -12, 9, 4],\n [4, 11, 2, -6, 6, 9, 12],\n [10, -10, 9, -2, 7, 6, -4],\n [-3, -11, -12, 3, 5, 10, 4],\n [-7, 1, 10, 12, 2, 1, 11]]\... | 6632 | MATH |
[
{
"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[5, 4, -8, -1, -7, 9],\n [-4, 7, -12, 9, 2, 8],\n [-7, 6, 5, -7, 0, -12],\n [10, 10, 0, -6, 2, -1],\n [-12, 2, -9, 0, 10, 12],\n [-8, -11, 10, -12, 3, 10],\n [-7, 10, 3, 1, -10, 2]]\nB =\n[[-10, 10, -11, -12, ... | 5066 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[0, 2, 12, 10, 9, -12, -2],\n [-3, 12, -8, 3, -2, 8, -7],\n [-4, 0, 11, -5, 1, 11, -12],\n [4, 11, -8, 12, -11, 12, 11],\n [-4, -9, 4, 4, 8, 5, 3],\n [-5, -2, 8, 8, 5, 10, 11]]\nB =\n[[-3, 0, 4, 5, -3, ... | 4867 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[10, -10, -5, 7, -9, 8],\n [9, -6, 1, 1, -9, 3],\n [11, 9, -12, 4, 12, -3],\n [9, 3, 3, -5, -6, -7],\n [3, 7, 3, -6, -4, 1],\n [-2, 1, -6, -12, 12, 0],\n [7, -10, 7, -9, -2, -11]]\nB =\n[[1, -1... | 4661 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[6, -11, -1, 1, -7, 0, -9],\n [9, 5, -1, 7, 9, 8, 6],\n [-5, -6, 3, 6, -7, 7, 8],\n [-2, -8, 3, -6, -8, -2, 2],\n [-10, -8, 10, 8, -8, -4, 2],\n [-10, -7, 4, 8, -5, 8, 12]]\nB =\n[[-2, -7, -5, -3, 11, -... | 3055 | MATH |
[
{
"content": "What is the value at position (2, 4) when matrix A is multiplied by matrix B?\nA =\n[[-11, -7, -5, 6, -2, 12, -1],\n [-4, -11, -5, -2, 8, -9, -3],\n [8, 7, 3, -5, -9, -3, -1],\n [1, 3, 9, 5, 8, 9, 8],\n [-1, 5, -6, 7, 11, 10, -6],\n [-4, -12, -7, -7, 9, -1, 9]]\nB =\n[[-1, -3, 10, -7, 4, 6, 5],\n ... | -89 | MATH |
[
{
"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-12, -8, -11, 7, -10, 6, 5],\n [9, 5, 1, 11, -5, -1, 8],\n [-3, 10, 7, 4, -2, -11, -9],\n [-12, 2, 0, -5, 12, -9, -3],\n [6, 5, -8, 6, 10, 9, 3],\n [-12, -1, 11, -11, 8, 12, -5],\n [5, 12, 3, -8, 9, ... | 6475 | MATH |
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, 3, 0, 0, 4, -6, -5],\n [0, 10, 3, -9, -5, 3, 8],\n [-3, 12, -1, -1, -8, 3, -12],\n [-4, -1, -8, 9, 7, 9, 11],\n [-10, -8, -11, 1, -11, 0, -6],\n [-3, 0, 3, 1, -2, -3, -7]]\nB =\n[[-9, 8, -12, -6, 11, -4],\n [-5, -8,... | -303 | MATH |
[
{
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, 1, -9, -4, 0, 5],\n [2, -3, 3, -1, 7, -8],\n [-11, -3, -12, -6, 4, 3],\n [11, -10, 1, -3, 9, -6],\n [4, -7, 10, 9, -9, 4],\n [-4, -9, -6, 10, -11, 4]]\nB =\n[[11, -5, 10, 2, 2, -5],\n [3, 6, -2, -11, 10, 11],\n [4, 3... | -895 | MATH |
[
{
"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-1, 10, 9, 8, 7, 2],\n [10, 3, -8, 8, 2, 4],\n [5, -8, 0, 6, 0, 5],\n [1, -9, -9, 7, 7, 6],\n [0, -1, -6, 12, -1, 8],\n [-9, -11, -11, -8, 10, -3]]\nB =\n[[-3, -4, 0, -6, -8, -3],\n [-3, -7, 6, 8, -5, -12],... | -252 | MATH |
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