messages
listlengths
1
1
ground_truth
stringlengths
1
5
dataset
stringclasses
1 value
[ { "content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, 4, 6, 5, 9, 5],\n [-6, -1, 0, 4, 1, 3],\n [0, -7, -1, 6, -4, 10],\n [5, 1, 0, -5, -2, 4],\n [-7, 2, -1, 6, 2, 4],\n [3, 10, 2, -1, -3, -2]]\nB =\n[[-2, -2, 7, 5, -8],\n [1, 7, 2, 4, -10],\n [-7, -3, 9, -10, 4...
-495
MATH
[ { "content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-9, -8, 6, 8, 5, 1],\n [-3, -6, -2, -7, 6, 3],\n [-4, -3, 6, -4, -9, 7],\n [-5, -10, 0, -10, 8, -6],\n [-5, -3, -7, 1, 0, 0],\n [0, 7, -3, -6, 6, -1]]\nB =\n[[-8, -3, -6, -7, -8, 1],\n [7, -8,...
2348
MATH
[ { "content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, -3, -5, 8, 2, 8],\n [-6, -5, 5, 6, 3, 10],\n [10, -4, -3, -6, -4, 4],\n [-8, -2, -10, -1, -2, 6],\n [6, -3, -5, -1, -9, -2],\n [3, -1, -7, -5, 3, -6]]\nB =\n[[-3, 9, 3, 5, -4],\n [3, -4, 10, -6, 8],\n [-10, ...
375
MATH
[ { "content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[1, -9, 4, -7, 7],\n [-8, -4, 3, 6, -1],\n [-10, 10, -9, 8, -7],\n [0, 1, -9, 0, -7],\n [1, 2, 1, -5, 7],\n [9, -9, -5, -10, 8]]\nB =\n[[5, -7, 10, -1, 6, -8],\n [-1, -5, 10, 6, 9, -6],\n [-1, 5, -5, 4, 4, 0],\n [-7, 10, 10, 6, ...
-506
MATH
[ { "content": "Calculate the matrix product AB and find the value at position (4, 4) of the result:\nA =\n[[-3, 9, 4, -9, 2, -10],\n [-4, 10, -1, 2, 9, -10],\n [-6, 3, -4, -2, -5, 9],\n [3, -3, 0, 10, -9, -3],\n [-4, -4, -9, -7, -9, -3],\n [-5, -8, -5, -5, 4, -5]]\nB =\n[[10, 1, 7, -2, 6, 6],\n [3, 3, -10, 4, -2...
-95
MATH
[ { "content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-9, -8, -5, 3, 6, 4],\n [2, -10, -10, 3, -5, 10],\n [-6, -9, -7, 9, 5, 10],\n [-3, 2, -10, -4, -3, 1],\n [-4, -5, -1, 9, 2, -3],\n [7, -6, -2, -1, -5, -2]]\nB =\n[[5, -6, -8, 8, -1, 5],\n [-9, -6, 10, ...
2336
MATH
[ { "content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[1, -9, -2, -10, -3, -6],\n [7, 0, 9, -8, -4, -3],\n [7, 0, 0, -6, -3, 3],\n [-8, -7, -10, -7, 10, -1],\n [5, 6, -8, 1, 2, -8],\n [8, -7, -7, 7, 3, -4]]\nB =\n[[7, -10, -7, 4, 1],\n [5, -7, -6, 1, 10],\...
2067
MATH
[ { "content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, -4, 9, 6, 2, -9],\n [3, -1, -7, 5, -4, -6],\n [10, 1, 0, -8, -8, -7],\n [10, -2, 9, 2, -5, -10],\n [7, 0, 3, 8, 7, -9],\n [6, 1, -2, -10, -5, 5]]\nB =\n[[2, -2, 3, 0, -2, 10],\n [-10, 1, -4, 0, -1, 9],\n [-3,...
139
MATH
[ { "content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, 9, -2, 7, 1, 2],\n [-9, 8, 5, -2, 1, 2],\n [-8, 3, 6, 6, 3, 5],\n [-9, 6, -9, -3, -2, 3],\n [-5, -2, 0, 5, 8, 9]]\nB =\n[[6, -8, 4, -6, -5, -3],\n [5, -9, 0, -5, 1, -8],\n [3, 10, 10, 4, -4, -8],\n [-1, -6, -5, -1, ...
85
MATH
[ { "content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, 3, -8, 3, -10, -7],\n [5, 2, 0, -9, -4, -1],\n [-5, -6, -4, -8, -9, 3],\n [7, 8, -6, 8, 5, -9],\n [5, 5, 1, 1, 4, -1],\n [-5, 6, -7, -1, -3, 7]]\nB =\n[[7, 10, 8, -9, -3],\n [2, 6, -2, 9, -9],\n [-2, -10, -6...
1585
MATH
[ { "content": "Calculate the matrix product AB and find the value at position (4, 4) of the result:\nA =\n[[-3, 1, -4, 2, -7],\n [-5, 3, -7, 4, -9],\n [-6, -5, -6, -8, -6],\n [2, -2, -10, 4, -3],\n [2, 10, 9, 8, -10],\n [6, 4, -1, -2, -4]]\nB =\n[[9, -8, 3, 3, 1],\n [10, 8, 6, 3, 3],\n [9, 5, -10, 6, 7],\n [-4, ...
-6
MATH
[ { "content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, -8, 9, 6, 4, -3],\n [-1, 3, -7, 3, -2, 8],\n [4, -10, 4, 8, 8, 5],\n [9, -10, -1, 1, -3, -10],\n [-8, -9, 0, -6, 5, -5],\n [10, -8, 7, 9, -1, 6]]\nB =\n[[-10, -10, -10, 6, -8],\n [8, 5, 9, -2, 5],\n [5, -10, -5, -2, -...
-1665
MATH
[ { "content": "Find the value at position (6, 6) of the product of the following matrices:\nA =\n[[4, -1, 4, 3, 0],\n [3, 8, -9, 2, -9],\n [5, 1, -9, -9, -8],\n [6, 10, 3, -2, 9],\n [9, 4, 8, 3, -1],\n [9, 6, -2, -4, 6]]\nB =\n[[-8, -9, 9, 6, -7, 9],\n [6, 10, 4, -2, 2, 4],\n [9, 0, 8, -8, 5, -7],\n [5, 5, -10, ...
67
MATH
[ { "content": "Compute the value at position (3, 2) of the product matrix AB given:\nA =\n[[2, -5, -10, -3, -2, 1],\n [2, -1, 6, 2, -3, -10],\n [3, -10, -4, -3, -6, -3],\n [-6, -9, -4, -5, 0, 4],\n [-5, 2, -5, -6, -3, 5],\n [-5, -2, -6, 9, -3, 5]]\nB =\n[[8, -3, 8, -4, 1, -6],\n [10, 6, -9, -2, -1, 4],\n [4, 7, ...
-94
MATH
[ { "content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-1, -2, 0, -10, -5, 5],\n [10, -3, 8, 4, 5, 0],\n [-5, 6, -3, -2, 2, -9],\n [-1, -7, 10, 6, -1, -1],\n [10, 5, -4, -8, -4, 1],\n [-2, -8, 6, 8, 9, 9]]\nB =\n[[6, -6, 2, -3, -4, 10],\n [-10, 9, 1, 2, 4, 8],\n ...
3106
MATH
[ { "content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, -6, 0, -1, 4, 2],\n [-8, 4, 10, -7, 4, 10],\n [-2, -3, 8, 4, -7, 4],\n [-2, 5, -9, 5, -5, -3],\n [8, 7, -10, -7, 3, 4]]\nB =\n[[-8, -3, -8, 1, 3, 0],\n [-3, -9, -10, -1, -7, -7],\n [7, 2, 5, 7, 5, -9],\n [6, -9, -3, 9, 5, -...
-405
MATH
[ { "content": "Compute the value at position (5, 2) of the product matrix AB given:\nA =\n[[5, 2, -3, -5, 4],\n [-7, -3, -9, 8, 9],\n [5, -1, 4, 9, 9],\n [-8, 8, -8, 0, -5],\n [8, 8, -2, 2, 8]]\nB =\n[[-2, -1, 7, 5, -5],\n [-8, -6, 6, -7, -5],\n [-8, -6, 10, 8, 10],\n [9, -2, -9, 8, 1],\n [9, -9, 2, 10, -8]]\n\n...
-120
MATH
[ { "content": "Calculate the matrix product AB and find the value at position (1, 2) of the result:\nA =\n[[-2, -3, -5, 4, 6],\n [0, 6, -10, 10, -7],\n [-2, 0, -8, -9, 4],\n [-9, 4, -6, 6, -5],\n [5, 3, 9, 4, -1],\n [3, 5, 6, -6, -7]]\nB =\n[[-10, 5, 9, -10, 0, 7],\n [6, -10, 5, 2, 2, 5],\n [8, 10, 3, -6, 1, -2]...
-84
MATH
[ { "content": "Find the value at position (4, 5) of the product of the following matrices:\nA =\n[[6, 5, -1, -5, 7, 2],\n [6, -1, 6, 2, 3, -7],\n [-7, -4, 5, 4, -5, -3],\n [4, 9, -10, 6, 8, 4],\n [3, 6, 9, -2, -4, 5],\n [10, 6, -4, -6, -7, 3]]\nB =\n[[-9, 3, 6, -10, -7],\n [-9, 7, -7, 0, 2],\n [3, -1, 6, -3, -9]...
144
MATH
[ { "content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-4, 2, -1, -8, -4],\n [1, 6, 1, -5, -3],\n [2, -5, 1, -9, -3],\n [7, -5, 1, 7, 0],\n [8, -1, -5, -7, 1]]\nB =\n[[5, -2, 8, -3, 5],\n [-1, -5, -3, 3, -10],\n [-3, 10, 1, 3, 9],\n [-4, 9, -3, 9, 8],\...
0
MATH
[ { "content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[3, 0, -3, 9, -3],\n [2, 8, 2, -1, -5],\n [9, 8, 4, 2, 6],\n [7, 3, 6, -3, -3],\n [-9, 8, -1, 8, 1],\n [-7, -1, -5, -4, 0]]\nB =\n[[7, -9, 1, 9, -6, -3],\n [8, -4, 1, -6, 1, -5],\n [-10, -9, -10, -5...
5
MATH
[ { "content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-7, 3, -6, -2, -7],\n [-9, 3, 8, -6, -1],\n [-2, 0, 9, -1, 3],\n [7, 2, 8, 6, 3],\n [7, 9, -9, 0, -4]]\nB =\n[[0, -5, 0, -1, -9],\n [1, -9, -9, 7, 6],\n [-3, -1, -8, 0, 9],\n [9, 4, 5, 10, -3],\n [4, 3...
1285
MATH
[ { "content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-5, 3, 9, -6, -6],\n [-3, -9, -6, -9, -10],\n [0, 1, 6, -3, -1],\n [5, 5, -10, -4, 4],\n [-3, 8, -2, -3, -1]]\nB =\n[[-7, 7, 1, 3, -2],\n [3, 5, -1, -2, -5],\n [-9, -9, -10, -10, 7],\n [-8, -3, -2, -1, -3],...
37
MATH
[ { "content": "Find the value at position (1, 2) of the product of the following matrices:\nA =\n[[6, 8, 1, 10, -4, 0],\n [10, -1, 6, -2, -8, 6],\n [-7, -9, -6, 8, -9, 1],\n [5, -10, 9, 9, 1, -4],\n [-9, -6, 9, 0, -8, -1],\n [-10, -9, -9, 1, 3, 4]]\nB =\n[[-4, 1, 4, 2, 10, -6],\n [-10, -1, 7, 4, 4, -7],\n [-6, 1...
75
MATH
[ { "content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, -8, -7, 8, -6, -8],\n [7, -6, -9, 5, 9, 9],\n [7, -10, 6, 5, -1, 1],\n [3, -3, 9, -1, 1, 8],\n [-3, -9, -5, 10, 0, -4]]\nB =\n[[0, 6, 2, -4, 0, 2],\n [-2, 6, -2, 5, 2, -1],\n [3, 2, 8, -6, -2, 7],\n [5, 2, 6,...
459
MATH
[ { "content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, 2, 10, 5, 1],\n [1, 4, 5, -10, -1],\n [-2, 2, -3, 8, 6],\n [5, -4, 10, 9, 5],\n [9, -5, 5, -6, 1],\n [8, 4, -3, 5, 4]]\nB =\n[[6, -4, -1, 7, 2, -9],\n [-6, 5, 9, -7, -6, -4],\n [7, -9, 4, -9, -8, ...
2418
MATH
[ { "content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, 3, 9, 6, -1],\n [-8, 8, -4, 7, -7],\n [-3, 9, 1, -1, 1],\n [6, -3, -9, -3, 4],\n [4, -9, 2, -5, -8],\n [0, 1, 6, 5, 10]]\nB =\n[[0, 3, 2, -1, -3],\n [-5, 7, 8, 9, -6],\n [-7, -9, -4, 0, -6],\n [9, -3, 5, 1, -8],\n ...
42
MATH
[ { "content": "What is the value at position (3, 6) when matrix A is multiplied by matrix B?\nA =\n[[-9, -5, 1, 1, 2, 10],\n [-8, 5, 3, -5, -10, -10],\n [2, -5, 9, -1, 1, 9],\n [6, -3, 7, -8, -2, 5],\n [-8, 7, 0, 7, 6, 2]]\nB =\n[[-10, -4, 4, 6, 9, -1],\n [2, 0, 8, 0, -4, 10],\n [-4, -9, -8, -2, -2, -7],\n [7, -...
-199
MATH
[ { "content": "What is the value at position (4, 5) when matrix A is multiplied by matrix B?\nA =\n[[-5, -1, -2, 8, -3],\n [-3, 3, -1, -10, -9],\n [8, -7, 8, 5, 9],\n [7, 5, -8, 2, 1],\n [3, 6, 9, -1, 0]]\nB =\n[[-7, -4, 10, 2, -2, -1],\n [-2, -1, -6, 7, -3, 4],\n [7, -10, -6, 8, -10, -7],\n [5, 8, -3, -8, -2, -...
52
MATH
[ { "content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, -5, -7, 0, -5, 7],\n [-8, -6, 10, 2, -1, 3],\n [-8, 6, -1, -3, -5, 8],\n [6, -8, 5, -2, 3, -9],\n [-6, -4, -4, 4, -2, -2],\n [7, 9, 9, 2, -1, 0]]\nB =\n[[-6, 1, 1, -7, -3],\n [5, -5, -10, 2, -8],\n [4, -5, -4, 3, -4],...
131
MATH
[ { "content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, 0, 1, 1, 6],\n [2, -7, 5, 4, 2],\n [8, 0, 10, 4, 10],\n [4, -8, 6, -2, -10],\n [8, -4, 10, -5, 0],\n [-7, 9, 9, -1, -10]]\nB =\n[[-1, 0, -3, 5, -6, -10],\n [-4, 9, -9, 6, -9, -9],\n [-4, 4, -1, -8, 4, -5],\n [-3, -6, 0, -8, ...
-636
MATH
[ { "content": "Compute the value at position (2, 6) of the product matrix AB given:\nA =\n[[-3, -1, 10, 8, 3, -1],\n [5, 3, 2, 8, 0, 3],\n [6, -1, 1, -8, 9, -4],\n [5, 7, 9, -4, -10, 5],\n [6, 5, 6, -2, -2, -6]]\nB =\n[[1, -5, 7, -10, -8, -10],\n [-3, -6, -2, 7, 8, 9],\n [10, -9, 2, 4, 7, -10],\n [-4, -8, -4, 7,...
-134
MATH
[ { "content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-4, 5, -1, -10, 10, 10],\n [6, 3, -4, 8, 7, 7],\n [2, 5, -5, -7, 3, 8],\n [-6, 7, -9, 7, -5, 3],\n [4, 7, -4, -10, -2, -1]]\nB =\n[[10, 4, 4, -6, -4],\n [-8, 6, -1, -10, 1],\n [-2, 9, -7, -9, -7],\n [4, -10...
-149
MATH
[ { "content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-10, -6, -5, 6, 4, -5],\n [-4, 5, -1, 9, -4, 5],\n [6, 3, 8, 3, 8, 9],\n [6, -10, 4, -1, -8, 0],\n [6, 0, 9, -4, -7, -5],\n [-4, 2, -5, -1, -1, -8]]\nB =\n[[-3, -10, 5, -8, -10, -1],\n [-2, 10, 6, 7, 8, 8],\n...
2176
MATH
[ { "content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-9, -1, -7, -2, -2, -1],\n [-5, -6, 8, -10, -8, -6],\n [-5, -2, 1, 9, -8, -9],\n [3, -4, 0, 2, -3, 5],\n [-6, 6, 4, -4, -5, -6]]\nB =\n[[9, 10, -5, 6, -6, 3],\n [4, -7, 3, 9, 0, 0],\n [5, -5, -8, -9, 8, 5],\n...
1983
MATH
[ { "content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[2, -5, -4, 6, 1],\n [2, 1, 4, 9, -9],\n [-2, 10, -8, -4, 0],\n [-8, 5, 9, 6, 8],\n [0, 8, 1, 6, 3]]\nB =\n[[-6, -5, -3, 5, 0],\n [3, -1, 5, -10, -1],\n [-8, 10, 5, 0, 7],\n [6, 5, -5, 4, 0],\n [1, ...
69
MATH
[ { "content": "Find the value at position (3, 4) of the product of the following matrices:\nA =\n[[-10, -2, 7, -2, 0, -3],\n [3, -6, 1, 1, 1, 10],\n [2, 9, 5, 1, -2, -6],\n [10, 1, -6, 10, -4, 3],\n [-3, 10, 3, -6, -9, 10]]\nB =\n[[10, -6, -2, 3, 4],\n [-3, -2, -4, -2, -9],\n [7, -1, -4, 4, 5],\n [8, 8, 6, 4, -8...
6
MATH
[ { "content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-7, 3, 5, -4, 1, 2],\n [-7, 2, 6, 4, 0, -3],\n [-10, 6, -4, 1, -2, -4],\n [-1, 10, 7, -4, 0, 3],\n [-4, 3, -10, 2, 6, -3],\n [6, -7, -7, 2, -5, 5]]\nB =\n[[-1, 8, 10, 7, 2, -10],\n [-2, -3, 8, -8, 6, -8],\n...
-167
MATH
[ { "content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-10, -8, 3, 6, -2, 0],\n [9, 10, -1, -8, 5, 1],\n [-2, -10, 10, 6, -2, -4],\n [4, -2, -4, 1, 4, -7],\n [8, -1, -6, 5, 9, 7]]\nB =\n[[-9, 10, 1, 9, -7],\n [-1, -5, -4, 3, 0],\n [9, -5, 0, -2, 5...
2178
MATH
[ { "content": "Compute the value at position (2, 5) of the product matrix AB given:\nA =\n[[7, 9, 4, -1, 8, 1],\n [8, 5, -4, -5, -6, 6],\n [0, -4, 2, -4, -8, 3],\n [3, -7, -6, -9, 9, 9],\n [6, 0, -1, 8, 6, -1]]\nB =\n[[2, 9, -10, 1, 9, 6],\n [-9, -10, -2, -1, 4, -5],\n [3, -7, 10, 1, -2, 9],\n [2, 9, -4, -1, -2,...
182
MATH
[ { "content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-4, -4, 0, -9, 8],\n [-1, -2, 3, -4, 5],\n [0, 6, 10, -4, 0],\n [0, 10, -8, -9, -6],\n [-10, 10, -9, 4, -6]]\nB =\n[[-6, 4, 6, 1, 7],\n [4, 0, 7, 9, 8],\n [4, 1, 7, 3, -7],\n [4, 2, 10, 4, -9],\n [...
66
MATH
[ { "content": "Compute the value at position (3, 1) of the product matrix AB given:\nA =\n[[10, -1, -10, -7, -7, 2],\n [-1, -8, 1, -3, -4, 7],\n [-6, 3, 5, -6, 8, 7],\n [5, -6, -8, -1, 7, 3],\n [-1, -7, 5, 9, 5, 8],\n [-8, 10, -10, -7, 9, -4]]\nB =\n[[6, -6, 2, 7, 4, 7],\n [8, -5, 2, 3, -10, 4],\n [-10, 5, -4, 1...
-70
MATH
[ { "content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, 3, 4, 1, 1, 10],\n [6, -8, -8, 4, -4, -7],\n [-10, -3, 3, 3, -2, -7],\n [-5, -5, 0, 9, -2, 4],\n [10, 3, 8, -9, 4, -2],\n [6, 0, -1, 5, -9, -3]]\nB =\n[[3, 8, 3, 6, 3],\n [-8, -4, 0, 8, -7],\n [8, -5, 10, 9, -5],\n ...
453
MATH
[ { "content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[5, 1, 10, 1, -8, -1],\n [-5, -6, -7, 9, 5, 5],\n [-2, 5, 3, 8, 3, 8],\n [10, 2, -9, 3, -6, 7],\n [8, 0, -4, 10, -5, -8]]\nB =\n[[-5, 8, 5, -8, 6, 8],\n [-5, 6, 9, -8, 9, -7],\n [-4, -1, 9, 10, -2, 10],\n [10, -1...
-160
MATH
[ { "content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, -7, 7, 3, 1],\n [6, -2, -10, 1, 7],\n [-6, -2, 6, -7, 10],\n [-9, 7, -10, 1, -2],\n [-1, -2, -4, -9, 0]]\nB =\n[[-6, 6, 0, 1, -8],\n [7, -6, -7, -6, -6],\n [5, -3, -3, -6, -5],\n [1, 1, -3, -7, 2]...
1400
MATH
[ { "content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, 9, 0, -1, -8],\n [-9, -2, -2, -2, 0],\n [8, 7, 3, -7, -2],\n [7, -1, -6, -4, -7],\n [0, 9, 7, 9, -9],\n [8, 7, 4, -8, 6]]\nB =\n[[-1, 2, 9, -9, 10, 10],\n [-7, 4, 1, -10, 3, -1],\n [-3, -5, -10, 5, -8, -10],\...
-494
MATH
[ { "content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, 4, -8, -10, 5],\n [-2, 4, 3, -5, -3],\n [2, -5, -6, 10, 3],\n [-3, -2, -9, 6, -7],\n [-7, 10, 0, 6, -6]]\nB =\n[[9, -9, 1, 5, 7],\n [-7, 6, -7, -8, -9],\n [5, -9, -10, 5, 3],\n [-2, 6, -5, -8, -...
1874
MATH
[ { "content": "Find the value at position (4, 5) of the product of the following matrices:\nA =\n[[-10, 5, 2, -3, -10],\n [10, 0, -4, -1, 0],\n [-7, 10, -5, 5, -6],\n [6, -6, -8, -9, 9],\n [-8, 6, -6, -5, 8],\n [-5, 0, -1, 1, 9]]\nB =\n[[-10, 0, 9, 7, -4],\n [-10, 5, -4, 5, -8],\n [-3, -10, -4, -3, -6],\n [-5, -...
72
MATH
[ { "content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, 3, 8, -2, -4, 3],\n [10, -5, 8, -8, -10, -3],\n [8, 0, 4, 8, -4, 2],\n [-6, -9, -10, 7, -9, -5],\n [2, 5, -8, 9, -3, -9]]\nB =\n[[1, 3, -9, -6, -4, -3],\n [-9, -6, -6, -2, 10, 9],\n [5, 6, 6, 8, 6, 5],\n [10, 1, 2, -6, 7, 7...
-492
MATH
[ { "content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[6, -8, 7, 4, -6, -6],\n [-4, 9, 9, 10, 4, -3],\n [3, -3, 6, 3, 7, -5],\n [5, -8, 10, -8, -9, -6],\n [6, 4, 4, -2, -7, 10],\n [-5, -8, -9, -10, -8, -5]]\nB =\n[[7, 6, -1, 2, 9],\n [-4, 4, 0, -7, -8],\n ...
2055
MATH
[ { "content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, 4, 3, -4, 0, 0],\n [9, 10, -2, -1, -6, 6],\n [-8, 10, -10, 7, 5, 2],\n [6, -5, -8, -8, 7, -7],\n [-8, 4, 9, -10, -10, 4],\n [-10, 1, -1, -4, -8, -5]]\nB =\n[[-8, 8, 10, 6, -9],\n [-5, 3, 9, -1, -7],\n [-10, 2, -1, 8...
268
MATH
[ { "content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[3, 10, -1, 6, 6, 8],\n [6, 1, -5, -3, -5, -10],\n [8, -10, 5, 4, -4, -6],\n [9, 0, -9, -1, -3, 6],\n [-8, -1, -9, 3, 3, -3],\n [6, -1, -4, 8, 7, -7]]\nB =\n[[2, 9, 6, 4, -2, -6],\n [7, -5, -1, -5, 7, 3],\n ...
330
MATH
[ { "content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-3, 8, -10, -1, 4],\n [1, 1, -4, -4, -9],\n [0, 0, 5, 7, 0],\n [2, 5, 5, -4, -4],\n [4, -3, 5, -9, -9],\n [-5, 1, 2, -9, 3]]\nB =\n[[9, -1, -4, 2, -2, -10],\n [-7, -6, -3, 3, 2, 2],\n [-8, 7, 0, -6, -3, 10]...
67
MATH
[ { "content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, -9, 8, -4, -3, 10],\n [4, 10, -10, 4, -8, 5],\n [0, -4, -3, 4, -10, -7],\n [8, 2, -4, 7, 0, -3],\n [-5, -5, 1, 6, 3, -1]]\nB =\n[[0, -1, -8, 10, -3],\n [10, -9, 8, -1, -7],\n [1, 6, 0, -1, 6],\n [0, -4, 3, -1, 10],\...
366
MATH
[ { "content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-4, -7, -9, -7, 9, 0],\n [7, -10, -10, 3, -2, 5],\n [10, 4, -1, -6, -5, 4],\n [-4, -6, -2, 10, -4, 7],\n [7, -3, -1, 7, 2, 10],\n [-4, 8, 0, -5, 1, -4]]\nB =\n[[-6, 0, 5, -6, -6, -2],\n [-8, 8, 10,...
-130
MATH
[ { "content": "Find the value at position (1, 1) of the product of the following matrices:\nA =\n[[-6, 0, 2, -7, -1, -2],\n [-5, -7, 2, 4, -8, 10],\n [4, 1, -10, 5, 1, -9],\n [-2, -5, -1, 0, 2, 0],\n [-3, 8, 3, 1, 4, -2]]\nB =\n[[8, -3, -5, 2, 7],\n [-7, -10, 0, 7, 10],\n [-3, 8, -10, 0, -10],\n [8, 3, 0, -5, -9...
-85
MATH
[ { "content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[10, -8, -4, 4, 2, 4],\n [-8, -2, 6, -2, 9, 4],\n [-1, 3, -1, 3, 10, -4],\n [4, 7, 3, 6, -9, 0],\n [7, -6, 10, -10, -9, 10]]\nB =\n[[-1, 10, 1, 1, -7],\n [5, 1, -2, 7, 3],\n [-2, -3, 3, -9, 1],\n [4, 5, 6, -2, -9],\n [-2,...
-137
MATH
[ { "content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, -1, 9, -1, 0],\n [-1, 5, -2, -1, 0],\n [-3, 1, -9, 10, -4],\n [-3, 4, 3, 2, -10],\n [-5, 10, 7, 10, 1]]\nB =\n[[9, -3, -7, -5, -2],\n [2, -5, -10, 8, 2],\n [-4, -8, 7, 2, 3],\n [9, 7, 2, -2, -9],\n [-7, -9, 4, -1, 5]]\n\nPr...
355
MATH
[ { "content": "Compute the value at position (2, 1) of the product matrix AB given:\nA =\n[[6, -4, 5, 4, 7, -10],\n [-4, 4, 6, 9, -6, 1],\n [5, -10, -9, -9, 8, -8],\n [3, -6, 7, 4, 0, 9],\n [8, -7, 0, -2, -5, 7]]\nB =\n[[10, 2, -5, -2, 6],\n [4, 10, -2, 0, 0],\n [7, -6, 8, -2, -3],\n [6, -2, -2, 0, -7],\n [-3, -...
90
MATH
[ { "content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, -10, 5, -8, -9],\n [-2, 7, 3, -8, 7],\n [-10, 10, 7, -4, -1],\n [-5, 0, -2, -3, 4],\n [2, 1, -2, 3, 1]]\nB =\n[[4, 5, 9, 0, -4, -8],\n [5, 5, 0, -8, 9, 0],\n [-8, -2, -9, 2, -8, -8],\n [6, 3, -2, ...
2187
MATH
[ { "content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, 8, -5, -7, 6],\n [-10, 8, 2, -10, 10],\n [2, 10, -3, 4, 3],\n [0, -7, -2, 9, -10],\n [-9, 1, 9, 7, 2],\n [9, 7, -10, -5, 4]]\nB =\n[[3, 6, 9, -5, 6, 4],\n [-8, -10, 7, -8, -5, -4],\n [-9, -1, 5,...
2196
MATH
[ { "content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-10, -5, 8, 5, 10, 7],\n [2, -1, 7, 4, 0, -1],\n [-7, 7, 7, 4, -10, 9],\n [-2, 10, 10, -8, 1, 8],\n [-10, -2, 6, 0, 8, 9]]\nB =\n[[8, 9, 5, 6, 2, 3],\n [-1, 0, 5, 4, -1, 7],\n [-2, 9, 6, -8, 4, -8],\n [-2, -9...
2424
MATH
[ { "content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, -9, 1, -10, -6, -1],\n [-7, 5, -10, -4, 3, -3],\n [8, -7, -9, 0, 7, -2],\n [5, -2, -3, 3, -5, 10],\n [-7, -1, 10, -4, -5, 10],\n [7, -10, -3, 6, -5, -7]]\nB =\n[[-10, 10, -4, 6, 6, -9],\n [0, -7, 9, 1, 8, -6],\n [-4, ...
-229
MATH
[ { "content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[1, -10, -4, -3, 4],\n [9, -9, 9, 3, 2],\n [10, 7, 7, 8, -6],\n [-2, -7, 4, -7, 0],\n [-1, 6, 8, 6, 5]]\nB =\n[[-10, 8, -6, 6, 5],\n [8, -7, -5, 7, 0],\n [8, -9, 9, 8, 0],\n [-4, -6, -7, -7, -9],\n [-1, 10, 1, 4, 2]]\n\nPresent ...
245
MATH
[ { "content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, 6, 5, -4, -7],\n [-2, -1, 0, -1, 0],\n [3, -6, 8, 9, 8],\n [-6, 8, -2, 5, 6],\n [-5, 2, 0, 9, 8],\n [-8, 6, -1, -9, -7]]\nB =\n[[10, -10, 2, 2, 3],\n [-9, 7, -5, 2, 3],\n [5, 5, 3, 9, 8],\n [6, -4, 5, -5, -9],\n [2,...
-13
MATH
[ { "content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[10, -10, 2, -6, 8, 4],\n [6, -1, -5, 9, 10, 1],\n [-10, 0, -7, -4, 10, 5],\n [6, -1, 8, 9, 5, -5],\n [2, -10, 8, 0, 8, 4]]\nB =\n[[-10, 10, 8, 5, -3],\n [8, -8, -7, 3, 6],\n [10, -6, -1, -1, 1...
2556
MATH
[ { "content": "Find the value at position (4, 1) of the product of the following matrices:\nA =\n[[-6, 1, -4, 10, 9, 5],\n [10, 4, 9, 5, 7, 6],\n [0, -7, 0, 4, -6, 7],\n [-3, 1, 1, 0, 0, 10],\n [-4, -4, 1, 9, 3, -1],\n [-9, -1, 4, -2, 2, -6]]\nB =\n[[-1, -2, 9, -5, -7],\n [2, 1, 9, 3, 4],\n [-10, 4, 8, -8, 6],\n...
-35
MATH
[ { "content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, -3, 9, 3, 2],\n [-1, -9, -5, 3, -2],\n [-10, -9, 4, -9, -8],\n [6, 9, -8, -8, 5],\n [0, 2, 1, -2, 1],\n [-9, -2, -6, 6, 0]]\nB =\n[[-4, 10, 0, -1, 0, -8],\n [8, -9, 5, 1, -7, 2],\n [-8, -5, 2, -7, -6, 0],\n [-2, 10, 5, -5, -...
138
MATH
[ { "content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-3, 7, 7, 9, 7, 5],\n [2, 7, 5, -10, 10, 6],\n [-6, 2, -9, 4, -7, -7],\n [4, 10, 3, -6, -10, 1],\n [4, 9, -8, -8, -5, -5],\n [-1, 9, 2, 5, -4, -3]]\nB =\n[[-1, -2, 1, -7, 6, -4],\n [-9, 5, -3, -2, -2, ...
2523
MATH
[ { "content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, -10, 1, 10, 0, -5],\n [7, 9, 7, -1, -4, 10],\n [-6, -9, -5, -5, -6, 9],\n [9, 8, -5, -10, 0, 8],\n [3, 10, 2, 7, -8, -1],\n [-2, -2, 1, -9, -8, 4]]\nB =\n[[2, 7, 0, 1, 0],\n [5, 4, -8, -6, 1],\n ...
2188
MATH
[ { "content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, 1, 1, 2, 5],\n [-2, 6, -2, -7, -7],\n [-3, -3, 5, 5, 0],\n [-2, 6, -1, -4, -10],\n [-7, -1, -10, 7, 2]]\nB =\n[[1, -9, 8, -2, 7, -5],\n [-2, 0, 5, -1, -1, 7],\n [-10, 5, 9, 7, 7, -4],\n [9, -8, -...
1771
MATH
[ { "content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-2, -8, 3, -4, -7, -1],\n [-8, 3, 0, 7, 10, -7],\n [0, 0, 10, -3, 0, 3],\n [-6, -4, -9, -7, -8, 0],\n [-1, 6, 5, 5, 9, -9],\n [4, 6, -4, -7, 10, -7]]\nB =\n[[1, -10, -6, 0, -8],\n [7, 9, 6, -6, 10],\n ...
2394
MATH
[ { "content": "Calculate the matrix product AB and find the value at position (6, 5) of the result:\nA =\n[[-9, 6, 6, 2, -5, -3],\n [4, 9, -3, -5, 10, -8],\n [5, -2, 9, 5, -8, -10],\n [-1, -1, 5, 1, -5, 9],\n [7, 1, 9, -6, 0, -3],\n [-10, -7, -1, -4, 2, -5]]\nB =\n[[-9, -10, -4, -4, 9],\n [9, 3, 8, -4, 9],\n [6,...
-156
MATH
[ { "content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, 0, 1, -3, -3],\n [-2, 9, 8, -9, 6],\n [0, 0, -4, -6, 7],\n [3, 8, 1, 9, -7],\n [-2, -3, 7, 4, 2],\n [-9, -9, 2, -3, -6]]\nB =\n[[-4, -8, 6, -7, 6],\n [5, 8, 0, 0, 10],\n [7, -10, -3, -1, 10],\n [-4, -8, -3, 7, -8],...
423
MATH
[ { "content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, 2, -2, 8, -9],\n [-9, -9, -9, -9, 9],\n [7, -9, -9, -8, 8],\n [-5, 9, -4, 7, 1],\n [2, -9, 4, -4, -5]]\nB =\n[[-4, -9, 3, 8, -1, 0],\n [3, 7, -2, 8, 4, 0],\n [-9, 8, 5, 7, -4, -3],\n [-7, 5, 4, -5, 6, 4],\n [-7, 7, ...
-461
MATH
[ { "content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[4, 2, 10, 9, 2],\n [-9, -5, -5, 3, -2],\n [4, 5, 8, 3, 0],\n [-5, 10, -10, -3, -6],\n [5, 3, -6, 4, -8],\n [-5, -5, -9, 2, -2]]\nB =\n[[10, -2, -8, -5, -2, 9],\n [-1, -6, -4, 7, 9, -10],\n [2,...
2046
MATH
[ { "content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[4, 3, 0, -3, -2],\n [-7, 10, 6, -5, 9],\n [-2, 6, 8, -7, -5],\n [-7, -8, -1, 3, 6],\n [7, -5, -7, -7, 8],\n [-4, 4, -4, 7, -2]]\nB =\n[[0, 1, 6, 2, 8, 7],\n [4, 2, 4, 7, -4, 2],\n [1, -4, -8, 10, 4, 7]...
2078
MATH
[ { "content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, 5, -5, -3, 1, -3],\n [-9, -2, -10, 8, -1, -2],\n [-3, 1, 0, 0, -4, 8],\n [5, -4, 2, -9, 2, 3],\n [-8, -2, 5, 3, -5, 8]]\nB =\n[[10, -8, 3, -1, 2, 6],\n [-7, 9, -3, -5, -4, 4],\n [8, 2, -6, 8, -5, 10],\n [10, ...
-136
MATH
[ { "content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[9, -9, 10, -1, 9],\n [-3, 3, 9, -8, -9],\n [8, -8, 4, 6, 8],\n [-4, 5, -1, 4, 3],\n [9, 6, 0, -1, -4],\n [-3, -7, -2, -10, 7]]\nB =\n[[-3, -3, -5, 7, 6, -3],\n [7, -4, -7, 6, -10, -10],\n [7, ...
2524
MATH
[ { "content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-8, 6, 9, -1, -7, 6],\n [-2, -2, 10, 2, 6, 6],\n [-7, -8, -9, -5, 3, 10],\n [-3, 0, 5, 3, -5, -8],\n [6, 3, 3, 8, -7, 0],\n [-4, 2, 8, -1, -8, 2]]\nB =\n[[-9, 6, 3, -5, 8, -3],\n [-8, 0, 10, 1, -1, 2],\n ...
-223
MATH
[ { "content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, -7, -7, 0, -2],\n [-7, 8, -6, 4, -2],\n [-6, 1, -2, -6, -10],\n [-3, 4, -6, 1, 4],\n [-2, 4, -2, -3, 2],\n [-10, -8, 10, 5, -7]]\nB =\n[[3, 8, -10, 9, 3],\n [2, -9, 10, 0, 7],\n [-1, 5, -7, 4, -5],\n [8, -8, -3, -10, -7],\n ...
-277
MATH
[ { "content": "Compute the value at position (3, 2) of the product matrix AB given:\nA =\n[[-9, -6, -5, -4, 7],\n [-7, 8, 0, -8, 0],\n [2, 2, 3, -9, 1],\n [-2, -5, 6, 3, -9],\n [-10, -8, 5, -2, -4]]\nB =\n[[6, 3, -6, 5, 9, 5],\n [5, 9, 4, -7, -7, -3],\n [-4, 1, 1, -3, 4, -6],\n [-1, -5, 7, 5, 6, -3],\n [4, 0, -9...
72
MATH
[ { "content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[1, -9, -1, -10, -2, 10],\n [3, 2, 3, 0, 6, -5],\n [10, 4, -8, -4, 0, 9],\n [-7, 2, -7, 1, 1, 8],\n [7, -10, -8, -10, -9, 6]]\nB =\n[[-8, -7, -7, -10, 6, 3],\n [9, 5, 4, 0, 7, -4],\n [8, -1, 7, 1, 3, -6],\n [-10, -10, 9, 4, 1, -...
-516
MATH
[ { "content": "What is the value at position (1, 6) when matrix A is multiplied by matrix B?\nA =\n[[-8, -4, 4, -9, 6],\n [8, 8, -2, 4, -5],\n [-6, 9, 8, 4, 2],\n [-1, 5, -7, 4, -3],\n [3, 3, 5, -4, 5]]\nB =\n[[4, 10, 10, -10, -6, 10],\n [-5, 0, 10, 4, 6, 3],\n [10, 5, 1, -6, 6, -8],\n [1, 7, 8, 5, -4, -6],\n [-...
-46
MATH
[ { "content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, -6, 5, 3, 1],\n [9, 1, -8, -4, 4],\n [-7, 0, -5, 5, 5],\n [-4, -4, -9, 3, 9],\n [2, 6, 2, 2, 10]]\nB =\n[[2, -9, -2, 7, -3, 9],\n [8, 2, 10, 2, -5, -5],\n [-4, -1, 4, 8, -6, -7],\n [-3, -7, 6, 2, 0, 0],\n [1...
223
MATH
[ { "content": "Calculate the matrix product AB and find the value at position (4, 2) of the result:\nA =\n[[-6, 8, 4, 7, 0, -5],\n [2, 10, -8, -3, 7, 5],\n [-6, -6, -1, 3, -7, 1],\n [-6, -3, 2, 2, -5, -3],\n [-5, 2, -4, 5, 9, -2]]\nB =\n[[-5, 5, 1, -4, -6, 5],\n [2, -10, -4, 8, 9, 4],\n [-4, 2, -7, -9, -7, -5],\...
25
MATH
[ { "content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-3, 8, 3, -6, -3],\n [7, 10, 5, -7, 9],\n [8, 9, -6, 6, -9],\n [-7, -7, 8, 8, 5],\n [8, 6, 4, 10, 2],\n [2, 3, 10, 2, 10]]\nB =\n[[7, -1, 9, -2, 1, -4],\n [-7, 9, -7, 8, -3, 7],\n [-6, 7, 2, 9, -5, 5],\n [-5, 10, 6, -4, ...
960
MATH
[ { "content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[10, 7, 5, 5, 8, 6],\n [-7, -1, 5, -5, -6, 3],\n [2, 8, 0, -4, -9, 8],\n [-2, 0, 9, 8, -10, 10],\n [8, -6, -9, -8, 4, -10],\n [1, 7, 8, 10, 8, -3]]\nB =\n[[10, -6, 1, 8, -4, 3],\n [-7, -8, -1, 3, -5, 6],\n [-6, -9, 4, 10,...
258
MATH
[ { "content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, 4, 9, -2, 10, -6],\n [-5, -1, 10, 7, -6, -2],\n [10, -7, 6, -9, 1, 2],\n [9, 4, 2, -2, 1, 7],\n [-1, 4, -4, 4, -4, -9],\n [1, -1, -2, 3, -5, -9]]\nB =\n[[10, -9, -1, 5, 9],\n [2, -1, 3, 0, 6],\n [...
2193
MATH
[ { "content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[1, -6, 4, 7, 8, 4],\n [6, -5, -8, -2, 3, -5],\n [7, 6, 8, -8, -8, 3],\n [0, 10, 2, 5, -10, -2],\n [-5, 2, -8, 4, 3, -4],\n [-9, -7, -2, 10, 1, 6]]\nB =\n[[8, 6, -6, -10, -2, 2],\n [1, -6, -3, 1, 0, -7],\n [10, -9, -7, 4, -10, -...
383
MATH
[ { "content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, 4, 1, 1, 3, 9],\n [10, -10, -1, 8, -10, -8],\n [2, -6, -2, 6, -1, -8],\n [-3, -10, 1, 5, 5, 1],\n [9, -2, -2, 7, 3, 9],\n [-2, 8, 2, -9, 2, -4]]\nB =\n[[1, -5, 9, 6, 10],\n [8, -9, -2, 1, -3],\n [-2, -3, -4, -3, 8],\n...
509
MATH
[ { "content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 5, 8, -2, 4],\n [-9, 0, -4, 9, 2],\n [3, 5, 10, -6, -4],\n [-3, 3, -10, 6, -9],\n [-2, -10, -7, -3, -8],\n [-9, 1, -6, -3, 6]]\nB =\n[[8, 8, 4, -8, -8],\n [-3, 6, -3, -3, -7],\n [2, 5, -5,...
1656
MATH
[ { "content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, -3, 5, 6, 10, 4],\n [3, -2, 5, 7, -2, -4],\n [10, -6, 3, -7, -4, -8],\n [6, -6, -9, -8, 8, 4],\n [3, -5, 0, -2, -4, -9],\n [3, -2, -9, -8, 8, -7]]\nB =\n[[-2, 2, -2, -3, -5],\n [1, -1, 1, -7, -9],\n [8, 0, 10, -8, ...
186
MATH
[ { "content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-2, 7, 0, 2, 10, 3],\n [-3, -8, -5, -8, -10, -6],\n [6, -6, -7, 3, -9, -9],\n [0, 0, -1, 0, -3, -1],\n [-9, -9, -8, 1, 2, -1],\n [-9, 7, -8, 7, 9, -6]]\nB =\n[[-10, -4, 8, -2, 2, 2],\n [4, 1, -6, -9, 8, -2]...
372
MATH
[ { "content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, 5, -3, -1, 10],\n [-7, -1, -3, -5, -7],\n [10, -1, 7, 1, -10],\n [1, 0, 4, -5, -7],\n [10, -5, 8, 4, -3],\n [5, -8, -1, -8, -5]]\nB =\n[[-7, -7, -2, -2, -5],\n [-5, 7, 6, -7, -10],\n [6, -5, -9, -1, 1],\n [-7, -4, 2,...
-582
MATH
[ { "content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-6, 8, -7, -3, 4, -5],\n [-8, -7, -3, -2, 7, 5],\n [5, 0, 8, 4, 1, 5],\n [-10, -9, -6, 3, 6, -2],\n [-6, -1, 1, 1, 10, -2],\n [5, -2, 6, -1, 9, -2]]\nB =\n[[-2, 0, 2, -1, -9, 4],\n [-5, 2, 3, 5, 0, -6],\n [-3, -5,...
-189
MATH
[ { "content": "Compute the value at position (4, 2) of the product matrix AB given:\nA =\n[[6, -5, 0, -7, 10],\n [3, 0, -3, -9, 1],\n [10, 1, -9, -9, -3],\n [7, 9, 4, -1, -5],\n [5, -4, -2, 2, -6]]\nB =\n[[-7, -4, -5, -1, 5],\n [-8, 10, 7, 2, -3],\n [8, 9, 1, 0, 8],\n [-6, 5, 4, 6, 5],\n [-9, -3, 0, 6, -8]]\n\nP...
108
MATH
[ { "content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-10, 8, 4, -1, 2],\n [-4, -8, 9, 7, 6],\n [-5, -10, 3, -1, 9],\n [7, -7, -8, 8, -3],\n [-6, 3, 6, 7, -7],\n [8, 10, 2, 1, 0]]\nB =\n[[7, -10, 4, 6, -9, -5],\n [-8, -8, -10, -2, 6, -9],\n [2, 1, -3, -7, 4,...
10
MATH
[ { "content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, 6, 3, 3, 7, 4],\n [-7, -1, -4, 7, -4, -9],\n [10, -2, 1, 3, 4, -3],\n [3, -9, -2, 4, 6, -2],\n [8, 3, -8, 3, 0, 7]]\nB =\n[[8, -9, -9, 1, 1, 10],\n [-2, 8, -4, -5, 6, -9],\n [3, 3, 9, -4, 9, -6],\n [-10, -4, ...
-775
MATH
[ { "content": "Calculate the matrix product AB and find the value at position (5, 1) of the result:\nA =\n[[-1, 4, -9, 8, 9, -8],\n [-4, 7, -6, 4, 5, 10],\n [3, 8, -9, 7, -7, -3],\n [2, 0, 2, 3, 3, -10],\n [-3, 8, -3, 7, -4, 6]]\nB =\n[[6, -2, -8, -6, 1],\n [-8, 1, 8, 4, -6],\n [3, -2, -1, 1, -2],\n [4, 6, 6, 9,...
-13
MATH