messages listlengths 1 1 | ground_truth stringlengths 1 5 | dataset stringclasses 1 value |
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[
{
"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, -7, 3, 13, 10, -2, -9],\n [0, -2, -2, 4, -15, 12, -15],\n [14, -14, 2, 0, 1, 13, 7],\n [0, -2, 0, 3, -12, 7, 0],\n [3, 8, -3, -12, -6, 2, 5],\n [13, -5, -9, 13, 8, -5, 12],\n [-2, 14, -4, 13, -13... | 6111 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-15, 12, -10, 3, -13, -4, 2],\n [-11, -11, 14, -12, 0, -5, -9],\n [-9, 0, -8, -12, -15, -11, 0],\n [2, -8, 8, 15, 4, 8, -13],\n [7, 8, -8, -1, 2, -5, 15],\n [13, 4, -7, -12, -3, -6, 6],\n [12, 10, -7, -12, 0, 15... | 268 | MATH |
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-11, -6, 12, -11, 0, 9],\n [5, 12, 5, 1, 5, 5],\n [5, -12, 14, -12, -1, -5],\n [11, 8, -8, 3, -8, 0],\n [12, 8, -11, -7, 11, 1],\n [-1, -12, -11, 4, -11, 4]]\nB =\n[[7, -5, 2, 9, -15, 14, 9],\n [-4, 12, 11, 13, -5, -8,... | 113 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[2, 4, -13, 8, -14, -11, -7],\n [-4, 9, -2, -2, -3, 1, 12],\n [3, -3, -14, 5, 5, -3, -12],\n [8, 11, -6, 14, -15, 1, -2],\n [13, 9, -13, 13, -12, 11, -14],\n [-12, 11, 8, 6, -5, 14, 5],\n [-14, 3, -10, ... | 9033 | MATH |
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, 3, -4, 2, -3, 15, 4],\n [-1, 2, 14, -14, 1, 15, 14],\n [-10, 5, 0, 15, -4, -2, -12],\n [-11, 11, -12, -8, -5, -10, 13],\n [-12, 14, -8, -9, 11, -12, -13],\n [6, 11, -7, -13, -10, 7, 12]]\nB =\n[[-9, 2, -1, -12, 5, ... | -205 | MATH |
[
{
"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, -5, 2, -7, 15, -11, -12],\n [-14, -5, 14, 8, 2, -14, 9],\n [-11, 0, -12, -14, -12, -14, -11],\n [12, 1, -9, 7, 15, -3, -7],\n [-3, 3, -3, 14, -7, 3, 15],\n [6, 2, -9, 7, 2, 13, -11]]\nB =\n[[4, -... | 6222 | MATH |
[
{
"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-12, 12, 5, -13, 7, 9, 6],\n [-4, 3, -5, 14, -3, -9, 4],\n [13, 14, 13, -3, -6, -2, -14],\n [-12, 10, 9, -2, 14, 7, 0],\n [-12, -8, -4, -10, 11, -5, -5],\n [12, -8, -4, 15, -13, 1, -9]]\nB =\n[[-14, 2, -8, -1, -2,... | -47 | MATH |
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, 4, 2, -15, 8, 2, -15],\n [14, 12, -8, -7, 5, 9, -9],\n [11, -5, 8, -5, -1, 3, 8],\n [14, 8, -10, -6, -4, 3, -9],\n [-11, 3, 1, -4, 7, 14, 6],\n [-2, -10, 0, 10, -2, 14, -7]]\nB =\n[[12, -7, 10, -5, -11, -5, 9],\n [-... | -1085 | MATH |
[
{
"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-1, 8, -11, 11, -5, -6, -3],\n [6, -13, 13, -11, -2, 11, -12],\n [9, 14, 3, -8, -9, 14, 8],\n [8, 13, -4, 14, -6, -1, -9],\n [-7, -7, 7, -4, 1, 14, -8],\n [15, -11, -6, 10, 3, -14, 6],\n [-9, -12, -14, 6, 2, -15, ... | -279 | MATH |
[
{
"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-2, -5, -1, 10, -15, -11, 7],\n [-2, -5, 1, -11, -14, -14, -5],\n [11, 10, -8, -7, 11, -2, -5],\n [5, -9, -5, 5, 7, 5, 4],\n [8, 15, -4, 3, -1, 10, 14],\n [0, -10, 5, -9, -5, -10, -1],\n [4, 13, -15, -5, 1, 2... | 6533 | MATH |
[
{
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[12, 3, -2, -14, -14, 0],\n [-6, 6, 9, -10, -9, 11],\n [-1, 11, -11, 7, -2, 14],\n [-14, 1, 13, 15, 15, 3],\n [-7, -9, -7, 1, 9, -10],\n [9, 5, 4, -3, -5, 8]]\nB =\n[[8, 9, 10, 5, -13, -6],\n [-5, 11, 6, 14, -1, 13],\n [9... | 1821 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[2, 6, 1, -8, 8, 1, -4],\n [15, 12, -8, -11, 4, 14, 2],\n [7, 11, -2, 3, -2, 1, -4],\n [10, 1, 14, 6, 1, -11, 12],\n [-2, 5, 15, 0, -9, -2, -2],\n [9, -15, -5, 12, 1, 12, -8]]\nB =\n[[-4, 10, -... | 6750 | MATH |
[
{
"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, 13, -13, 3, -5, 8, -7],\n [6, 7, -8, -4, 5, 4, -4],\n [-2, -3, -12, -8, -11, 14, 6],\n [4, 1, 7, -7, 6, 11, -4],\n [-3, -15, -8, 8, 14, 15, -8],\n [11, 0, -11, -11, 12, -14, 6],\n [-11, 2, 12, 5,... | 6270 | MATH |
[
{
"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[7, 10, 13, 2, 7, -11, 11],\n [-5, -3, 5, 4, 3, -8, -14],\n [-3, -8, 8, -1, 10, 12, -1],\n [-10, 8, -15, 1, -4, 13, 0],\n [13, 11, -1, 10, -11, 6, 14],\n [3, -11, -9, -15, -14, 10, 8]]\nB =\n[[-6, -11, -11, 8,... | 5022 | MATH |
[
{
"content": "Find the value at position (3, 6) of the product of the following matrices:\nA =\n[[-1, 8, 14, -6, -8, -15],\n [-10, 3, 0, 11, 14, 4],\n [2, -2, 9, -13, 1, 7],\n [-10, -8, -7, -8, -3, -7],\n [-7, -1, 1, 11, -13, 9],\n [14, 11, -14, -1, -11, 4]]\nB =\n[[1, -4, 6, 13, -15, 13, -3],\n [-13, -13, -12,... | -25 | MATH |
[
{
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[13, -12, -9, 6, -9, -15],\n [-4, 1, 7, -14, 7, 14],\n [11, 14, -11, 8, 15, -8],\n [-10, 10, 4, -3, -9, 0],\n [0, -1, 6, 12, 14, 12],\n [-3, 8, -12, 15, 1, 2]]\nB =\n[[-15, -11, 2, 7, 15, -2, 3],\n [-7, -14, -1, 1, 4, -11... | -321 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-6, 14, 12, 0, 11, 1, 4],\n [8, -13, -7, 15, 0, -14, 12],\n [14, -1, 2, 12, 9, -14, 5],\n [-9, -3, -5, 1, 9, 6, -3],\n [-12, 5, 5, -5, 8, 3, -4],\n [-8, -6, 5, -10, -13, -6, -3],\n [9, 0, -5, -11, -10,... | 6873 | MATH |
[
{
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[13, 15, 1, -3, 8, 8],\n [2, 14, -10, 0, -3, -4],\n [7, -4, 3, 2, 6, -6],\n [-15, 6, -15, 11, -13, 9],\n [-6, 5, 4, -14, -10, -8],\n [8, 9, -15, -6, 1, -6]]\nB =\n[[14, -11, -14, -2, 9, 12],\n [9, -3, -1, 9, 6, 11],\n [10... | 925 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[9, 3, -3, -8, -2, 3],\n [9, 7, 3, -10, 4, -5],\n [-5, -5, 13, 3, 0, 2],\n [-4, -4, -12, 11, 2, 11],\n [10, -7, 13, -5, 8, 7],\n [11, 4, -6, 1, 10, -8],\n [13, -7, -9, -15, -14, -1]]\nB =\n[[8, -4, -10,... | 7055 | MATH |
[
{
"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[9, -5, 8, 11, -5, -10, -14],\n [-4, -15, 2, 4, 13, 10, -15],\n [-11, 2, 10, -1, 2, 3, -5],\n [11, -13, -5, -3, 4, 13, 8],\n [-6, 14, 3, 14, -6, -10, 13],\n [-8, -4, 10, 2, 10, 8, 10]]\nB =\n[[-11, 11, -4, -... | 791 | MATH |
[
{
"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-14, 10, 14, -11, -12, -1, 6],\n [-4, 6, 1, -12, -5, 6, -12],\n [-10, -1, 0, 14, -10, 4, 7],\n [14, -15, -5, 13, -5, 5, 15],\n [-1, 13, -4, 8, -14, 7, -13],\n [2, -14, 7, 7, 8, 7, 15],\n [-6, -8, -6,... | 9982 | MATH |
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, -11, -7, 4, -14, -9],\n [0, -7, 2, 15, -15, -4],\n [13, -2, -4, 12, 10, -13],\n [0, -5, -8, -12, -6, 10],\n [-9, -10, -5, -5, -10, 15],\n [-1, 9, 7, -11, 4, -10],\n [0, -15, 1, -11, 15, 0]]\nB =\n[[3, 0, 1, -1, -3... | 433 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[9, 11, -14, 6, 10, -7, 6],\n [13, -4, -7, -2, 7, 6, 5],\n [-1, 4, -7, 11, -15, -10, -2],\n [4, 10, 10, -6, 6, -1, -7],\n [0, -13, 7, 10, -14, -10, 8],\n [13, 11, 2, 12, -14, 4, -8]]\nB =\n[[1, -9, -8, ... | 5324 | MATH |
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, -14, -3, -10, 2, -4],\n [15, -9, -15, 14, 2, 5],\n [8, -3, 0, 0, -1, 13],\n [4, -15, 3, 0, 12, 3],\n [-7, -12, 7, 5, -10, 15],\n [5, -6, -9, 12, -8, -12]]\nB =\n[[-12, -7, 11, -15, 6, 3, -9],\n [6, -1, 3, 1, -13, 1... | 1351 | MATH |
[
{
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-15, -2, -2, -13, -2, 11],\n [4, -10, -15, 9, 15, -5],\n [-8, 8, 4, 13, -1, 6],\n [3, -3, 10, -14, -12, -15],\n [-12, -12, -2, -14, 9, -15],\n [-6, 14, -10, 8, 1, -9]]\nB =\n[[-8, -7, 14, 15, 0, 3, -11],\n [6, -7, 7, -8,... | 918 | MATH |
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, 10, -1, 1, 1, -2, -2],\n [4, 1, -3, -8, 4, 0, 15],\n [10, 9, 0, 2, 1, 1, 5],\n [9, 5, 2, -11, 8, -15, 3],\n [11, -10, -2, 14, 1, -13, -7],\n [-5, 13, 1, 0, 10, -10, 6],\n [8, -6, 4, -3, -2, -1, -2]]\nB =\n[[6, 3, -1... | 841 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[15, 0, 13, 9, -4, 12],\n [15, 14, 1, 4, -5, 15],\n [3, 4, -9, -4, 14, 11],\n [-9, 2, 9, -12, -11, 12],\n [12, 0, 7, 2, 11, -7],\n [7, -8, -10, -3, -2, -11]]\nB =\n[[8, -2, 7, 12, -7, 14, -4],\n [2, -12, 9, -6, -... | 743 | MATH |
[
{
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-15, -11, -6, -6, 8, 7, 4],\n [9, -9, 15, 4, 13, -6, -1],\n [-12, -11, -12, 11, -12, -5, 15],\n [2, 11, -13, 1, -14, 15, -3],\n [-12, -14, 7, -9, 1, 10, 1],\n [8, -2, -4, 10, -4, -7, -7],\n [13, -10, -5, -1, 4, -13, 8]]\nB =\n[... | 763 | MATH |
[
{
"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[15, 11, 5, 11, 11, -2, -3],\n [-3, -5, 6, 8, 0, 10, -13],\n [-5, 11, 8, 0, -5, -4, -14],\n [-1, -7, -2, -10, 5, -7, 14],\n [-2, 8, 3, -14, 13, 14, -3],\n [-9, -5, -1, 11, 5, 7, -1],\n [14, 0, 1, 8, -... | 5427 | MATH |
[
{
"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-9, -12, 13, 0, -2, -7, 8],\n [7, -6, 1, -10, 10, -7, -8],\n [10, -4, 2, -8, -12, -3, 15],\n [3, 10, 10, 7, -9, 11, 5],\n [0, -13, 14, 0, 3, -11, 6],\n [8, -15, -8, -7, 4, -10, -2]]\nB =\n[[-10, 1, 9, 3, -9... | 791 | MATH |
[
{
"content": "What is the value at position (4, 6) when matrix A is multiplied by matrix B?\nA =\n[[-2, 11, 7, 14, 8, 9],\n [0, 1, 11, 1, -2, 6],\n [-4, 6, 6, -4, -11, 0],\n [-9, -11, 1, 15, 13, 0],\n [15, 4, -6, -12, 6, 13],\n [3, -10, -8, 15, -5, -6],\n [-12, 9, 9, 4, -9, 0]]\nB =\n[[-7, 0, -9, -4, 2, -15],\n... | 58 | MATH |
[
{
"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[10, 7, 0, 10, 10, 2, -7],\n [-15, -7, -11, -5, 4, 5, 11],\n [13, 9, 11, -13, -8, -7, 2],\n [7, 6, 12, -5, 11, -5, 14],\n [-7, 2, -1, 11, -12, 10, -7],\n [-14, 5, 10, -11, 9, 13, -10]]\nB =\n[[7, 12, 10, 2, ... | 52 | MATH |
[
{
"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, 0, 15, -11, 4, -4, 14],\n [-7, -8, -15, 6, -14, -2, 2],\n [1, -12, -9, 1, 5, -8, 5],\n [-14, -14, 8, 2, -5, 15, -5],\n [-14, 11, -10, 7, -15, -5, -15],\n [-10, -12, -14, -2, -10, 13, 2]]\nB =\n[[... | 7319 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[12, -10, -7, 11, -1, -14],\n [-12, -14, -8, 15, -15, -2],\n [-1, -10, 3, 3, -2, -13],\n [-3, -14, -13, 5, 5, 5],\n [12, 11, -9, 5, 11, -1],\n [11, -8, 9, 11, 3, -11],\n [11, -12, 14, 2, 11, -8]]\nB =\n[[12, 4, 6... | 382 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-4, -7, -13, 14, 9, 1, 0],\n [-2, 0, -8, 3, -12, 0, -15],\n [13, -12, 8, 5, 12, -11, -7],\n [12, 10, 14, -5, -4, -10, 4],\n [3, -12, 0, 6, 6, -3, -3],\n [-11, 15, -8, 13, 4, -6, 15],\n [-5, 1, 10, -6, ... | 8374 | MATH |
[
{
"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[10, 9, -14, 4, 0, 9, -4],\n [-4, -1, 15, 8, -8, 2, -6],\n [-15, -5, 0, -11, 0, 8, -13],\n [3, 11, -1, 13, -14, 6, -4],\n [-6, 13, 5, -1, -7, -12, -9],\n [5, -6, 1, 4, -12, -1, -12]]\nB =\n[[11, -1, -12, 2, ... | 714 | MATH |
[
{
"content": "Compute the value at position (6, 5) of the product matrix AB given:\nA =\n[[-9, 10, -11, 8, -6, -15],\n [2, 6, -13, 10, 9, 7],\n [-5, 7, 8, 3, -8, 7],\n [-7, 11, 9, -14, 14, 7],\n [7, -13, -6, 4, 3, -4],\n [11, -11, 15, -7, 9, -15]]\nB =\n[[-13, -10, -11, -5, -7, 6],\n [10, 3, -3, -12, -10, -8],\... | -91 | MATH |
[
{
"content": "Compute the value at position (6, 2) of the product matrix AB given:\nA =\n[[-5, -4, 7, 9, 6, -13, -10],\n [8, -12, 12, -6, -13, -13, 5],\n [-11, 2, -7, 3, -15, -15, -5],\n [6, 0, -12, 4, -15, -1, 14],\n [5, -1, 6, -9, -10, -6, -7],\n [-9, 2, -14, 15, -7, 3, -15]]\nB =\n[[-4, 1, -10, 0, 3, 4],\n [... | 48 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-12, 7, 12, 10, 2, -10, -2],\n [-7, 4, 1, 3, -12, 10, 1],\n [-1, -7, 4, -13, 2, -3, -8],\n [6, 8, -7, 0, -8, 11, -1],\n [12, 8, -12, -7, -14, -3, -10],\n [2, -9, -6, -7, 10, 7, -4],\n [-10, 2, 0, 11, 15, -14, -1... | -887 | MATH |
[
{
"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-2, -9, -14, 13, 1, -8],\n [3, -4, 10, 3, 13, 8],\n [13, -1, 14, 14, 3, 10],\n [-10, -6, -6, 14, 11, 15],\n [13, -8, 7, -15, -1, 7],\n [-14, 11, 0, -9, 12, -14]]\nB =\n[[5, -2, 8, 6, -10, -12, -9],\n [13, 10,... | 7935 | MATH |
[
{
"content": "Calculate the matrix product AB and find the value at position (7, 1) of the result:\nA =\n[[-6, -11, 11, -12, 12, -4, 9],\n [-8, -15, 12, -3, -8, -5, 11],\n [14, -2, 6, 13, 11, 12, 10],\n [-6, 10, 6, -15, 9, -1, -6],\n [13, -8, 8, 8, 13, 9, 9],\n [-6, 14, -9, 5, -13, -13, -8],\n [-5, -14, 10, -3,... | -295 | MATH |
[
{
"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, 0, -11, -13, -1, -1, -13],\n [-15, -11, -9, 6, -2, -8, 10],\n [-11, 3, -7, -9, 15, -3, -8],\n [10, -11, -10, -6, 11, -13, 8],\n [3, 1, 14, 10, -4, -1, 0],\n [-5, 13, 2, -13, 3, -15, -13],\n [11, ... | 8630 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-11, 3, 0, -8, -9, -5, -8],\n [10, -12, 12, 8, 1, -3, 15],\n [6, -2, 15, 13, 9, 0, -13],\n [3, 11, 8, 12, 8, 0, -11],\n [-4, -9, 15, -3, 6, -15, 0],\n [-15, -7, 15, -7, 5, 11, -13],\n [8, 14, -15, 6, 7, 11, 7]]\... | -535 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -1, 5, -2, 8, 2, 7],\n [1, -14, 13, 7, -14, -3, -11],\n [3, 8, -7, 8, 0, -15, -9],\n [-5, 5, -15, 8, 10, -6, -2],\n [10, 10, 14, -7, 7, -11, 13],\n [-12, -12, 14, -10, 13, -10, -13],\n [11... | 7465 | MATH |
[
{
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-15, 15, -2, -3, 15, 9],\n [-5, 14, 10, -4, 6, -6],\n [-10, -7, -9, 13, -13, 2],\n [-2, -7, 0, 15, -3, 7],\n [-2, -9, -5, 11, 1, -8],\n [-9, -6, 6, -4, 9, 12]]\nB =\n[[1, -1, -13, 1, -4, -10, 5],\n [-10, -4, 15, -3, -3, ... | 770 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[11, 14, -11, 3, 1, -15],\n [-11, 4, -3, 5, -15, -13],\n [12, 3, 5, 3, 13, -7],\n [-13, -1, -6, -6, -13, -7],\n [-5, -3, -8, -10, 1, 10],\n [-15, -5, 8, 8, 7, -4],\n [-15, 5, -11, 9, 6, -13]]\nB =\n[[11, 11, -3, ... | -746 | MATH |
[
{
"content": "Compute the value at position (5, 4) of the product matrix AB given:\nA =\n[[-12, -12, 2, -7, -3, -13, -13],\n [9, -4, 12, -12, -13, -12, -12],\n [-13, -8, -10, 12, -12, 5, 4],\n [12, -4, 11, -7, -4, 1, -15],\n [-8, -2, -3, 4, 15, -6, 15],\n [4, 5, 1, 15, 12, 0, -8],\n [0, 0, 3, -5, 12, 12, 15]]\n... | 313 | MATH |
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[15, 15, -10, -3, 4, 12],\n [-1, 12, -6, -12, 1, -4],\n [-1, -12, -3, -8, 12, -8],\n [-5, 6, 10, -15, 12, -7],\n [5, 15, 0, 6, 13, 1],\n [9, 7, -3, 3, 13, -4],\n [-11, 14, -7, 4, -15, 11]]\nB =\n[[15, -3, -3, 2, 2, -13]... | -291 | MATH |
[
{
"content": "Calculate the matrix product AB and find the value at position (1, 3) of the result:\nA =\n[[-9, 4, 4, 11, -11, -7],\n [-3, 13, 9, 14, 11, 8],\n [-1, -6, -8, -10, -12, 13],\n [-15, 10, 10, 9, -14, 12],\n [5, 8, -10, -11, 8, 12],\n [3, -4, 13, 9, 15, 15]]\nB =\n[[-11, 11, 15, 7, 10, -12, 12],\n [9,... | -147 | MATH |
[
{
"content": "Compute the value at position (5, 6) of the product matrix AB given:\nA =\n[[5, 8, 6, -12, 15, 1],\n [-13, 4, 14, 4, 8, -6],\n [-7, 4, -2, -9, 1, 3],\n [-13, 11, 14, -8, 8, 3],\n [-8, 4, 14, 5, -1, 8],\n [5, -14, -7, -5, -6, -1]]\nB =\n[[-1, 4, -8, -14, -13, -12],\n [10, -15, -12, 11, 5, -12],\n [... | 121 | MATH |
[
{
"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, 12, 15, -2, 12, -9, 4],\n [-7, -13, -11, 13, 0, -13, 8],\n [-14, 11, -10, -4, 15, 2, 3],\n [-9, 7, 3, 6, -5, -8, -15],\n [7, 12, -11, 14, 7, 1, 2],\n [-9, 12, 3, 7, 12, 10, -10]]\nB =\n[[2, 10, -8... | 8382 | MATH |
[
{
"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-1, 9, 6, -14, -1, 12],\n [1, 11, -14, -2, -6, -2],\n [-7, -4, 10, -1, 11, -9],\n [-1, 14, -5, 11, -11, 10],\n [4, 12, -12, 3, -2, 14],\n [-8, 8, -11, 8, 7, 13]]\nB =\n[[-6, -6, 6, -7, 13, 4],\n [-... | -684 | MATH |
[
{
"content": "Calculate the matrix product AB and find the value at position (1, 1) of the result:\nA =\n[[0, 2, 7, -15, -5, -11, 9],\n [7, 7, -3, -14, -7, 11, -3],\n [-8, -3, 6, 8, 11, -1, 13],\n [-9, 8, 10, -9, -14, 15, -4],\n [-2, 8, -8, 6, 9, 3, 14],\n [11, 3, -10, 15, -1, 11, 0],\n [4, 13, 9, 13, 8, 10, 4]... | -239 | MATH |
[
{
"content": "Compute the value at position (2, 6) of the product matrix AB given:\nA =\n[[-13, -1, -6, 6, 6, -12],\n [-5, 0, 14, 7, -10, -6],\n [-12, -15, -13, 3, 15, -13],\n [-13, 0, 8, -4, -1, 14],\n [-1, -7, 2, -9, 10, -15],\n [-11, 8, 11, 14, -5, -15]]\nB =\n[[11, -11, -5, -14, 8, -3, 1],\n [12, -7, 5, 2, ... | -121 | MATH |
[
{
"content": "Compute the value at position (6, 5) of the product matrix AB given:\nA =\n[[9, -14, 9, -15, 3, 10, -10],\n [5, -8, -6, 12, 2, 7, 5],\n [9, 6, -3, 7, 8, 10, -11],\n [5, 14, 4, -7, 5, 9, -8],\n [11, 12, 5, -1, 7, 9, 5],\n [9, -13, 15, -13, -15, -5, 14]]\nB =\n[[-7, 11, -8, -15, -8, -14],\n [-7, -9,... | 201 | MATH |
[
{
"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[9, -5, -14, 3, -10, -7],\n [7, -15, 3, -5, 7, 4],\n [-6, 3, -6, 0, -4, 12],\n [-10, 10, -2, 13, 1, -15],\n [-2, 1, 14, -6, -1, -7],\n [-4, -5, -6, 9, -1, -5],\n [-10, -15, -10, -15, 10, -6]]\nB =\n[[6, -10, 1... | 6708 | MATH |
[
{
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[15, 11, 6, -9, -8, 14, 10],\n [-7, 11, -5, 10, -8, -1, -6],\n [-4, 4, 6, 10, 1, 12, 13],\n [-1, -5, -13, 6, -15, -11, -10],\n [7, 14, -9, 4, 14, -8, 0],\n [-11, 9, -4, -4, 13, 12, 12]]\nB =\n[[-7, 6, -8, 0, -8, 2, 10],\n [-14, ... | -870 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, 8, -10, 13, 6, 2, 15],\n [7, 12, -4, 10, -5, -14, 11],\n [2, -3, -11, -4, 12, 3, 9],\n [1, -3, 8, -13, -11, -10, -13],\n [14, -3, 1, 9, 11, 14, 9],\n [-12, 10, 1, -3, -10, -15, -9],\n [6, -10, 3, 15, 9, 6, -... | -1144 | MATH |
[
{
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[13, -10, -6, 4, 4, -5, 14],\n [2, 2, 7, 3, -12, 2, -14],\n [6, -14, 10, -2, 8, -5, -11],\n [-1, 7, -9, 15, 8, -4, 5],\n [2, -5, 12, -14, 5, 7, 3],\n [-2, 2, -8, -11, -2, 4, 3]]\nB =\n[[9, -13, 4, -5, 11, 15, 11],\n [3, 11, 8, 1... | 1161 | MATH |
[
{
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, -12, -13, 1, -8, -10],\n [-2, 3, 0, 5, -11, 0],\n [12, -3, 14, 10, 10, -14],\n [-10, -6, 6, -13, 2, 7],\n [0, 4, -1, -7, 14, -8],\n [-8, 7, -5, -2, 4, 12]]\nB =\n[[-1, 1, 9, -10, -9, 15, -2],\n [13, 12, 13, 11, -14, -14, 11... | -246 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, -7, 14, -7, 5, 6, 2],\n [9, 3, 13, 4, 5, -14, 4],\n [-8, -2, 13, 5, -3, -2, 10],\n [-4, -5, 0, 9, -13, -4, -10],\n [5, -14, -10, 10, 13, 1, 15],\n [4, -10, 13, 9, -1, -15, 2]]\nB =\n[[7, 6, 2, -8, -8, 0, -2],... | 1260 | MATH |
[
{
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[12, -10, 7, -2, 4, 1, -7],\n [3, -8, -12, -3, -3, 13, 1],\n [6, -10, -1, -2, -9, 6, -6],\n [6, 5, 14, -4, 5, -3, -11],\n [-8, 11, -12, -12, 11, -5, 11],\n [3, 4, -7, -14, 5, -2, 13]]\nB =\n[[4, 3, -14, 14, -12, -10],\n [0, 6, -... | 524 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[10, 5, -12, 7, -4, 1],\n [-12, -8, -4, 7, -10, 14],\n [-4, 3, 6, -8, -11, 13],\n [-6, -9, -6, 15, -2, -12],\n [-3, 2, 9, 6, -8, 15],\n [-11, 12, -11, -6, 7, -1],\n [14, -5, 1, -9, 3, 4]]\nB =\n[[11, 2,... | 6159 | MATH |
[
{
"content": "What is the value at position (1, 6) when matrix A is multiplied by matrix B?\nA =\n[[-14, 5, -13, -9, 12, 15],\n [4, -2, 6, 7, -15, 7],\n [11, -5, 9, -2, 14, 14],\n [7, -10, 9, 12, -5, -5],\n [13, -5, 2, 2, 10, -8],\n [-10, -3, -2, -6, 5, 14],\n [-1, -1, 1, -12, -8, -4]]\nB =\n[[11, 15, -14, -13,... | 49 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-14, 13, -5, -1, 4, 5],\n [2, 13, -6, -6, -7, -2],\n [11, 3, 0, -12, 5, 12],\n [-10, 14, 0, -3, 2, 2],\n [-8, -10, 11, 5, 10, 5],\n [-3, 4, 0, -5, -10, -12],\n [-8, -12, 1, 13, 0, -10]]\nB =\n[[7, 14, ... | 7140 | MATH |
[
{
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, -12, 6, 0, -14, -9],\n [-8, 7, -9, 4, -15, -1],\n [7, 11, 11, -1, -4, -15],\n [-2, -4, -8, 14, 5, -15],\n [10, -4, -15, -13, -1, -9],\n [-10, 1, -10, 10, 12, 12]]\nB =\n[[9, 15, -3, 7, 13, -9],\n [1, -12, -5, -10, -15, 1],\n... | -456 | MATH |
[
{
"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[7, -7, -12, 4, -7, -3],\n [-15, 0, 0, 11, -7, 7],\n [-9, 11, -2, -4, 10, 8],\n [-2, -5, -6, 2, -1, 3],\n [14, 4, -5, 6, 5, -7],\n [8, 12, -15, -6, 9, 3],\n [12, 3, -9, -12, -13, -15]]\nB =\n[[13, 13, -8, -11, -9, ... | -612 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, 4, -8, 1, 9, 11],\n [3, -14, 7, 9, 13, -14],\n [-9, -15, 8, -12, -2, 6],\n [-4, -1, 10, 6, -1, -9],\n [-2, 9, -1, -1, -14, 1],\n [12, -11, 2, 13, 7, 1]]\nB =\n[[6, 4, -15, -6, 11, -12, 3],\n [15, 2, -8, -9, ... | 672 | MATH |
[
{
"content": "Compute the value at position (3, 4) of the product matrix AB given:\nA =\n[[-8, 11, -15, -9, 14, 11, -6],\n [14, -4, -7, -15, -5, 3, 0],\n [12, 3, -4, -2, 6, 4, 5],\n [-7, 14, 10, 8, -6, -14, 12],\n [11, 4, -4, 3, 8, -6, 8],\n [-2, -2, -1, 7, 6, 9, -5]]\nB =\n[[-9, -10, 14, -15, -11, -13, -6],\n ... | -226 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-13, -11, 10, -15, 0, -11],\n [-15, -6, -14, 12, -13, -6],\n [-1, 14, -6, 6, 10, -1],\n [6, 6, 11, 6, 0, 0],\n [9, 1, 12, -8, -10, 2],\n [-13, -11, -9, -13, -15, -3]]\nB =\n[[12, 12, 2, 2, 1, ... | 6588 | MATH |
[
{
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, -12, -15, -6, 14, -13],\n [0, -1, -2, 10, -14, 2],\n [-14, -12, 8, 10, 12, 14],\n [15, 8, 6, -5, 3, 1],\n [-13, -4, 6, 11, -1, 13],\n [-14, 10, -7, -13, 7, -15]]\nB =\n[[-9, -11, 14, -10, -8, -6, -1],\n [3, 2, 15, -8,... | 805 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[9, -7, -15, 9, -15, -9, -9],\n [9, 6, -8, 12, -8, -9, 14],\n [11, 10, -9, -7, -7, 11, 2],\n [-12, -10, 8, 7, -11, 4, -10],\n [-2, -1, -5, -13, 7, 1, 1],\n [14, 9, 0, -15, -15, 8, -7],\n [7, -5, -14, -8... | 10134 | MATH |
[
{
"content": "Find the value at position (1, 2) of the product of the following matrices:\nA =\n[[-10, -4, 4, -4, -11, -2],\n [4, 8, -15, -4, -4, 15],\n [-12, 6, -1, 8, -10, -9],\n [12, -3, -12, 0, 3, 1],\n [7, 11, 9, -14, 2, 11],\n [14, 2, -10, 2, -10, -4],\n [3, -7, -10, 6, -3, -4]]\nB =\n[[8, -6, 5, 7, -8, -... | -73 | MATH |
[
{
"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, 2, -5, 7, 4, -14, -13],\n [-2, -1, -15, -14, -15, 9, 10],\n [15, 6, 4, -1, -5, -2, 15],\n [14, 8, 7, -12, 9, 14, 10],\n [3, 6, 15, -3, -9, -8, 7],\n [-8, 6, 12, -6, 6, -10, -15],\n [-10, -1, -7, 1... | 7457 | MATH |
[
{
"content": "What is the value at position (6, 1) when matrix A is multiplied by matrix B?\nA =\n[[-8, -12, -2, -10, 4, -1],\n [10, -13, -9, -5, 4, -1],\n [5, -10, 0, -5, -2, 15],\n [7, -3, 3, -10, 15, -6],\n [13, -3, 15, -15, 8, 9],\n [-12, 1, -3, -15, 6, 13]]\nB =\n[[12, -15, 6, -6, 8, 5],\n [13, -13, -2, -2... | -262 | MATH |
[
{
"content": "Compute the value at position (5, 1) of the product matrix AB given:\nA =\n[[8, -4, 14, 11, 14, 2, -13],\n [-11, 13, 0, -7, 3, 9, -5],\n [-12, -9, 7, -10, -8, -13, -13],\n [-4, 7, 14, -10, -5, 3, 11],\n [-8, 15, 3, -7, 12, -3, 9],\n [15, 1, -11, 13, -10, 10, -11],\n [6, 13, 15, 3, -8, 3, -9]]\nB =... | -105 | MATH |
[
{
"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-11, -10, -9, -15, -7, 2],\n [4, 10, 15, -12, -11, 4],\n [14, 13, 8, 12, -1, -13],\n [-9, -4, 1, -13, -13, -10],\n [0, -15, 0, 8, -5, 14],\n [9, -6, -2, -2, -2, 3]]\nB =\n[[3, 1, -13, 6, -4, 4],\n ... | -511 | MATH |
[
{
"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, -11, -12, 1, 4, 11],\n [9, 1, -14, 11, 0, 1],\n [-2, -15, 0, -3, 5, 12],\n [8, 1, 12, -11, -1, 2],\n [-15, -15, 4, 6, 10, -6],\n [1, -13, -6, 4, 1, 11]]\nB =\n[[-13, 13, 3, -7, -8, -5],\n [-10, 8... | 6241 | MATH |
[
{
"content": "Calculate the matrix product AB and find the value at position (3, 2) of the result:\nA =\n[[-3, -15, -12, 11, -12, -5, 14],\n [0, -7, -10, -10, -5, 7, -2],\n [-12, 11, 8, -7, 10, -14, -4],\n [8, 14, -7, -11, -11, 6, 5],\n [3, -1, -8, -14, -10, 3, 8],\n [11, 1, 5, 14, -3, 1, -12],\n [4, 0, -4, 6, ... | -53 | MATH |
[
{
"content": "Compute the value at position (3, 1) of the product matrix AB given:\nA =\n[[-11, -3, -4, -15, 13, 10],\n [-13, -2, -1, -14, 9, -9],\n [-13, 9, 3, 1, -12, 1],\n [2, -1, -8, -10, -4, -12],\n [13, -3, -7, -6, -13, -2],\n [-13, 15, 7, -5, -3, 1],\n [-13, -13, -5, 2, 15, 4]]\nB =\n[[-5, 9, 9, 5, 13, 1... | -81 | MATH |
[
{
"content": "Find the value at position (4, 4) of the product of the following matrices:\nA =\n[[-12, 12, -13, 10, 8, 15],\n [11, 2, -11, 15, -4, 1],\n [8, -1, 9, -5, -9, -3],\n [14, -2, -13, 12, -14, -1],\n [9, -9, -15, 5, -14, 5],\n [-8, 7, 15, -8, 6, 5]]\nB =\n[[-5, 3, -4, -8, 6, -3],\n [-4, 8, 7, 10, -6, -... | -116 | MATH |
[
{
"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-14, 1, 5, 8, 9, -9, 2],\n [-5, 6, -3, -1, -13, 14, 1],\n [-7, -4, 4, -10, -5, 4, 5],\n [-7, 13, -4, 14, 9, -10, 2],\n [7, -8, 9, -7, 7, 5, 14],\n [-7, -3, -8, 13, -14, 13, -3],\n [-3, -8, -8, -6, -13, -1... | -328 | MATH |
[
{
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, -5, 2, -9, 2, -13, -14],\n [3, -5, 12, -6, 0, 10, -3],\n [-8, -2, 9, -3, 13, -11, 4],\n [10, -12, 1, 3, -6, 4, -8],\n [-9, -1, -6, -4, -15, 10, 10],\n [-14, 15, -1, 12, -7, -6, -1]]\nB =\n[[2, 3, 0, 6, -13, 2],\n [-8,... | 395 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[8, 13, -4, -7, 13, 0, 2],\n [-8, -3, 10, -15, 5, 6, -2],\n [12, -5, -11, 7, 13, 4, -13],\n [13, -5, 3, -2, -1, 9, 1],\n [12, 4, 2, -4, 12, -15, -14],\n [11, 2, 12, -8, -9, -10, -5]]\nB =\n[[-4, 2, 7, 1... | 5766 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[13, 4, -13, 12, 2, 3],\n [0, 1, 0, 0, 1, -2],\n [-9, -5, -13, 4, 2, -14],\n [4, -15, 9, 12, 5, 12],\n [-15, -8, -15, 7, 1, -11],\n [7, 12, -6, -14, 12, 1],\n [12, -9, -12, 8, 1, 14]]\nB =\n[[1... | 7942 | MATH |
[
{
"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[12, -11, 0, -1, -10, 0],\n [2, -5, 5, -6, 11, -2],\n [1, 0, 10, -2, 10, -1],\n [11, -7, 10, 2, 11, 4],\n [12, -5, 8, -10, -13, -7],\n [7, -4, 13, 14, -7, 3]]\nB =\n[[-12, 6, 11, 0, -10, -5],\n [-4, 1, 9, -1, 11, -... | -400 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-14, -9, -1, -14, -10, 2, -7],\n [6, 13, -7, 0, 11, 5, 5],\n [-8, -6, 7, -11, -4, -3, -2],\n [-15, -15, 13, 12, 14, 10, -2],\n [2, 13, -13, 2, 7, 2, -8],\n [-5, 14, -5, 9, 11, 1, -5]]\nB =\n[[-15, 3, 3, 0, -14, ... | 2036 | MATH |
[
{
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, 1, 1, 14, -5, -15],\n [10, -1, -5, -9, 13, -15],\n [0, -13, 11, -6, -12, -8],\n [11, -12, -6, -4, 14, -14],\n [13, -9, -13, 8, -4, -5],\n [-11, 4, 15, 6, -13, -4],\n [14, 1, -12, 10, 14, -15]]\nB =\n[[-6, -3, 10, -10,... | -5043 | MATH |
[
{
"content": "Compute the value at position (7, 3) of the product matrix AB given:\nA =\n[[9, 2, 15, -5, 2, -2, 2],\n [0, 10, 0, -7, -4, -8, -3],\n [14, 9, 9, 5, -10, 2, -1],\n [-14, 15, 3, 4, -14, -14, -2],\n [-3, 1, 0, -4, 11, 14, 9],\n [-15, 4, -7, -4, 12, -8, -14],\n [-8, -12, -8, -2, 0, 6, -14]]\nB =\n[[3,... | -306 | MATH |
[
{
"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-1, 3, -1, 14, -9, -13, -14],\n [11, -4, 14, -8, -6, 8, -6],\n [3, 13, -6, -11, -3, 15, -13],\n [3, -12, -3, -1, 2, -2, 15],\n [-8, -14, -13, 9, -2, -6, -1],\n [-8, 2, -11, -11, -8, 10, 5],\n [-15, 5, 4, ... | 398 | MATH |
[
{
"content": "Calculate the matrix product AB and find the value at position (3, 6) of the result:\nA =\n[[-5, -4, -9, -14, 9, 15],\n [4, 3, 5, -4, 13, -7],\n [14, -6, 7, 0, -7, 6],\n [-15, 6, 10, -9, 3, 8],\n [14, 2, 12, -11, 10, -6],\n [6, -12, -12, 10, 14, 0],\n [4, -7, 15, -5, 6, -7]]\nB =\n[[-6, -15, 6, -1... | 252 | MATH |
[
{
"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[1, -3, 11, 6, 9, -9],\n [14, -8, 11, -9, -7, -13],\n [-4, 11, -13, -8, -12, -3],\n [-2, 10, -1, 0, 10, -5],\n [-10, -8, 4, -6, -2, 13],\n [0, 5, -12, -11, -14, 6],\n [9, -14, -6, -11, 6, -14]]\nB =\n[[2, -5, -8, 1... | -146 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-5, -10, -5, 14, -12, -9],\n [-8, -12, 6, 3, 6, -1],\n [3, -14, 1, -6, -10, 13],\n [1, -8, 15, 9, -4, 13],\n [-1, 11, 5, 8, 12, -12],\n [-7, 15, -6, 15, -13, 7]]\nB =\n[[6, 10, 11, 9, -1, 4, 4],\n [-8,... | 6417 | MATH |
[
{
"content": "Compute the value at position (3, 6) of the product matrix AB given:\nA =\n[[9, 0, -9, 7, -7, 10, 13],\n [5, -13, -8, 1, -1, -11, -2],\n [12, 0, -8, 14, -9, 7, -12],\n [15, 8, -13, 13, 3, 8, 0],\n [7, 15, 8, 13, 8, -15, -8],\n [-15, -14, 11, 13, -9, -1, 10],\n [-12, 2, 3, -6, 2, 8, -7]]\nB =\n[[-1... | 254 | MATH |
[
{
"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 10, -11, 13, -3, -9],\n [9, -1, 4, 1, -5, -6],\n [0, -1, 7, 7, -10, -14],\n [-3, -14, 12, -4, -4, -13],\n [-9, -1, 9, 6, 2, -10],\n [7, -13, -4, -6, 9, 5]]\nB =\n[[-3, 8, 0, 6, -14, -13, -15],\n [... | 6260 | MATH |
[
{
"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-15, -14, 10, 9, 2, -11],\n [14, 0, -15, -13, 5, -9],\n [2, -5, -12, -9, 2, -8],\n [-15, -6, 5, 7, 9, -9],\n [-15, 8, 1, 3, 10, 3],\n [-14, -2, -14, -2, 0, -5],\n [14, -7, -12, 14, 15, 12]]\nB =\n[[-3, 15, -6... | 7999 | MATH |
[
{
"content": "Compute the value at position (1, 7) of the product matrix AB given:\nA =\n[[2, -6, -13, -6, -6, -11],\n [-10, 13, -14, 13, 4, -3],\n [-1, -10, 1, 13, -6, -11],\n [-13, 6, 13, 0, 12, -12],\n [0, -7, 2, 15, 13, 2],\n [-6, 0, 15, -5, 4, 11]]\nB =\n[[8, 15, 1, -10, 9, 8, 14],\n [-2, -4, 3, 6, -4, -3,... | -230 | MATH |
[
{
"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[12, -7, 6, -2, -15, -14],\n [-4, -14, -5, -13, -12, -3],\n [11, 0, -1, 12, -3, 5],\n [-4, -9, 1, 12, -14, -12],\n [-1, 0, -9, -4, 14, -5],\n [12, -11, 9, 15, 4, -1],\n [-11, 15, -8, 2, -7, 11]]\nB ... | 138 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-14, 2, -7, 0, -4, -9, -7],\n [15, -15, 14, -11, -7, -2, -5],\n [8, 8, 2, 10, -8, 15, 6],\n [-4, -3, 3, 14, 5, -14, 13],\n [12, 5, 0, 4, 13, -9, 8],\n [8, -1, -12, 12, 8, 14, -9]]\nB =\n[[0, 1... | 6530 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-4, -3, -7, -2, -7, -10, -4],\n [-15, 7, -9, -15, -11, 11, 2],\n [0, 13, 2, -1, -3, 0, -1],\n [-2, -7, 0, -3, -2, 0, 5],\n [-11, -15, -9, 5, -11, 15, -7],\n [-5, 11, 1, -11, -10, -2, 0]]\nB =\n[[12, -1... | 5428 | MATH |
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