Dataset Viewer
messages
listlengths 1
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stringlengths 1
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| dataset
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value |
|---|---|---|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -1, 0, 2],\n [-1, 1, 2, 4],\n [0, 2, -4, 1],\n [2, 4, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
312
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, 0, -1, 0],\n [0, -4, 0, 0],\n [-1, 0, -4, -1],\n [0, 0, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
905
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -4, 0, 2],\n [-1, 3, 2, 3],\n [-4, 1, 0, -3],\n [-3, -3, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5776
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 2, -1, 3],\n [2, 4, 0, 2],\n [-1, 0, 4, 0],\n [3, 2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
15012
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, -1, 2, -2],\n [0, -1, -4, -3],\n [-4, 2, -4, 1],\n [2, 1, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-81
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 0, -2, -2],\n [0, 3, -4, -2],\n [-2, -4, -4, 1],\n [-2, -2, 1, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1208
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 2, 2, 0],\n [2, 1, 4, 1],\n [2, 4, 1, -2],\n [0, 1, -2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
456
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, -1, 0, -2],\n [-1, 0, -1, 1],\n [0, -1, -4, -2],\n [-2, 1, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1635
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[-4, 0, 0, -1],\n [0, 4, -2, -4],\n [0, -2, 3, 2],\n [-1, -4, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
16
|
MATH
|
[
{
"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[1, 0, 1, -2],\n [-3, 0, -2, 3],\n [3, -2, 4, 2],\n [4, -3, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-31
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, -4, -3, -1],\n [4, 4, 0, 4],\n [-1, -1, -1, 1],\n [1, -4, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
740
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[0, -1, 0, 4],\n [-4, -3, -2, 4],\n [-3, 0, 2, -1],\n [0, 2, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
256
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 1, -2, 1],\n [3, -1, 3, -1],\n [-4, -1, 3, 1],\n [-4, -2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-227
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -4, -4, -4],\n [-4, 4, -4, -2],\n [-4, 0, -3, 3],\n [0, 4, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2010
|
MATH
|
[
{
"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[2, -2, 0, -1],\n [-2, 4, -2, 0],\n [0, -2, -3, -4],\n [-1, 0, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 0, 2, 0],\n [-4, 0, 3, 1],\n [1, -4, 3, 0],\n [-1, 4, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
761
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 2, 1, 0],\n [2, -3, -2, -2],\n [1, -2, -1, 0],\n [0, -2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
979
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 0, -2, 0],\n [0, -3, 2, -2],\n [-2, 2, -1, 2],\n [0, -2, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1166
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 4) of the result:\nA =\n[[-3, 2, 3, -2],\n [2, 2, 1, 4],\n [3, 1, 3, -2],\n [-2, 4, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
150
|
MATH
|
[
{
"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[-3, 2, -2, 0],\n [2, 1, -2, 1],\n [-2, -2, 1, 1],\n [0, 1, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
22
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 3, -2, 2],\n [3, -2, -3, 2],\n [-1, -3, 4, -1],\n [3, 0, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1374
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -2, 2, 0],\n [-2, 0, 3, 0],\n [2, 3, 3, 0],\n [0, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
168
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 2, 2, 0],\n [2, -2, 1, 4],\n [2, 1, 3, 0],\n [0, 4, 0, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1055
|
MATH
|
[
{
"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[1, -2, -4, -1],\n [1, 4, 0, 3],\n [-1, 1, 3, 0],\n [3, -1, -3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-9
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 2) of the result:\nA =\n[[-1, 3, -2, -3],\n [3, 3, 0, 4],\n [-2, 0, 2, -2],\n [-3, 4, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1076
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -1, -2, -4],\n [1, -4, 0, -2],\n [4, 4, -2, -2],\n [-3, 1, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
673
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 4, -2, 0],\n [4, 0, -2, 4],\n [-2, -2, 2, 0],\n [0, 4, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7488
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 1) of the result:\nA =\n[[4, 3, 2, -4],\n [-3, 1, 0, 0],\n [4, 0, 1, -2],\n [1, -4, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
56
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 2, 0, 0],\n [2, 1, 1, 0],\n [0, 1, -2, -2],\n [0, 0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-91
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 4, -3, 2],\n [-2, -3, 4, 0],\n [2, -1, -1, 4],\n [-4, -2, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2943
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 0, 2, 3],\n [0, 2, 0, -2],\n [2, 0, -2, 1],\n [3, -2, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2940
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 2, 2, 3],\n [2, -1, -2, 2],\n [2, -2, -1, -2],\n [3, 2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1272
|
MATH
|
[
{
"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[4, 1, -2, 3],\n [-2, 2, -2, -1],\n [3, 2, 2, 4],\n [-1, 0, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-126
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 1, -4, 1],\n [0, 1, -1, 4],\n [1, 0, -3, 1],\n [2, 0, -3, 0]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
30
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 0, -1, 2],\n [0, 2, 0, 0],\n [-1, 0, -2, 2],\n [2, 0, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
115
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -2, 1, 0],\n [-2, 4, 2, 0],\n [1, 2, 1, -2],\n [0, 0, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
88
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, -3, -3, -1],\n [1, 2, 4, 0],\n [-3, 1, 2, -2],\n [0, -4, 2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1027
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, -3, 0, 3],\n [-2, 2, 3, -4],\n [4, -2, 2, -4],\n [3, 3, 0, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
72
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 0, -1, -2],\n [0, -1, -2, -1],\n [-1, -2, -4, 2],\n [-2, -1, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1305
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 3, -2, 4],\n [3, 1, -1, 0],\n [-2, -1, 3, -2],\n [4, 0, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10179
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -2, 0, -2],\n [-2, -3, 2, 2],\n [0, 2, 4, -2],\n [-2, 2, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-459
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[-3, 0, 0, 4],\n [0, -4, -2, 0],\n [0, -2, 4, 0],\n [4, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 1, -3, 0],\n [1, 4, 0, 2],\n [-3, 0, 1, 1],\n [0, 2, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
484
|
MATH
|
[
{
"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[2, 2, 1, -2],\n [2, -4, -1, 0],\n [1, -1, 1, 0],\n [-2, 0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
45
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -1, -3, 3],\n [1, -1, 1, -3],\n [4, 3, 2, 2],\n [1, 0, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1533
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 3, 2, -4],\n [-4, 1, 3, -2],\n [2, 2, 2, 4],\n [1, 3, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1076
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -1, -3, -4],\n [-3, 4, 0, -3],\n [-1, 4, 4, -2],\n [1, -3, -1, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-28
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 2, -2, -1],\n [2, -1, -2, -1],\n [-2, -2, 4, -4],\n [-1, -1, -4, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5473
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, 1, -2, -1],\n [1, -4, 1, -2],\n [-2, 1, 1, 0],\n [-1, -2, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4505
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -3, 0, 0],\n [-3, 0, -2, -2],\n [0, -2, 3, 2],\n [0, -2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-61
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, -1, -1, 0],\n [-1, 4, 4, 2],\n [-1, 4, -1, 0],\n [0, 2, 0, 1]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-138
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, -3, -4, 4],\n [0, 4, 4, 3],\n [0, -2, 3, -1],\n [-2, -4, -1, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-2086
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, -4, -4, -2],\n [3, -2, -4, 0],\n [1, -4, 0, -2],\n [2, 0, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-5360
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, -4, 0, 4],\n [-3, -2, 2, 0],\n [-1, -2, -3, -1],\n [-3, 2, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6007
|
MATH
|
[
{
"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[2, 1, 2, 0],\n [1, -4, -3, -3],\n [2, -3, 1, 0],\n [0, -3, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1563
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 1, 3, -4],\n [-4, 4, 1, 3],\n [1, -2, 3, -4],\n [-4, 4, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-130
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, 2, 0, 0],\n [2, -1, 0, -4],\n [0, 0, -1, -2],\n [0, -4, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4660
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 0, -2, 0],\n [0, -2, -1, 0],\n [-2, -1, -2, -2],\n [0, 0, -2, 3]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-14
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -4, -2, 1],\n [0, -3, 2, 0],\n [-2, -1, 2, -2],\n [3, -2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-62
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, -2, -2, 0],\n [-2, -3, 1, 0],\n [-2, 1, 4, 0],\n [0, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-47
|
MATH
|
[
{
"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[-4, 2, 0, -1],\n [2, 1, 2, -2],\n [0, 2, 4, 1],\n [-1, -2, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
40
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 0, -4, 0],\n [0, 2, 0, 0],\n [-4, 0, 2, -2],\n [0, 0, -2, -1]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-996
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 4) of the result:\nA =\n[[2, 0, -1, -4],\n [1, 2, -1, 3],\n [0, -4, -1, -4],\n [-4, 3, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
100
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, -2, 2, 3],\n [3, -2, -2, -4],\n [2, -1, 2, 0],\n [4, -2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
642
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[-3, -3, 1, 2],\n [-3, 3, 0, -1],\n [1, 0, -2, 2],\n [2, -1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
559
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -2, 0, -3],\n [-3, 2, 4, -2],\n [-1, 4, -4, 1],\n [4, 3, -4, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-362
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 0, -2, -3],\n [2, -4, 0, -3],\n [1, 0, -1, 2],\n [4, 4, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
186
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -2, -3, -3],\n [4, 2, 2, 2],\n [-4, 4, -2, 4],\n [2, 1, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-53
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 2, 0, 2],\n [2, 2, -2, 4],\n [0, -2, -3, 1],\n [2, 4, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7672
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -2, -1, -1],\n [-1, 1, 2, -3],\n [-3, -3, 2, 4],\n [-1, -4, -4, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5381
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 0, 0, -2],\n [0, 4, -2, 0],\n [0, -2, 3, -3],\n [-2, 0, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-190
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[-2, -2, -3, 1],\n [-4, 0, -4, -1],\n [-3, 3, -2, -1],\n [-1, -4, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-97
|
MATH
|
[
{
"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[-1, 2, -2, 2],\n [2, 3, 3, 2],\n [-2, 3, 4, -4],\n [2, 2, -4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
27
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 1, 4, -3],\n [4, 1, -1, 1],\n [0, -3, -1, 2],\n [-4, 4, -1, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-110
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 0, -3, -3],\n [0, 1, 0, 3],\n [-3, 0, -3, 1],\n [-3, 3, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-140
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, 0, -2, -4],\n [0, -4, -3, 0],\n [-2, -3, 0, 2],\n [-4, 0, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9802
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 3, -1, 4],\n [-3, 0, 0, 3],\n [-2, -1, 2, 4],\n [4, 2, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
108
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 2, -2, 2],\n [2, 2, 0, 2],\n [-2, 0, -3, 1],\n [2, 2, 1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1047
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, -4, 3, -4],\n [4, 3, 1, 3],\n [2, -3, 0, 1],\n [1, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-930
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 2, -2, -4],\n [2, -1, 2, 2],\n [-2, 2, -2, -2],\n [-4, 2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4430
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 3, 0, 1],\n [3, -3, -1, 1],\n [0, -1, 1, -1],\n [1, 1, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2654
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -3, 4, 1],\n [1, 1, -1, 3],\n [-1, -3, 1, 0],\n [-3, -2, -3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
394
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 1, 1, 1],\n [-4, -1, 3, -1],\n [1, -4, 4, 4],\n [3, 2, -2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2147
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 2, 0, -1],\n [2, -1, -2, 0],\n [0, -2, -2, 0],\n [-1, 0, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
295
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 0, 2, 2],\n [0, -3, 0, 4],\n [2, 0, 3, -4],\n [2, 4, -4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
220
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 0, 0, 4],\n [0, 3, -1, 0],\n [0, -1, -1, 4],\n [4, 0, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6496
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 0, 2, -3],\n [0, 3, 4, 0],\n [2, 4, -3, 1],\n [-3, 0, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
888
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 3, -2, 2],\n [3, -2, -4, 1],\n [-2, -4, -4, 0],\n [2, 1, 0, -4]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1338
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, -1, 2, 0],\n [-3, 3, 0, 4],\n [-3, 3, -1, 4],\n [3, 2, -4, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -1, -4, 2],\n [-1, -1, -2, 0],\n [-4, -2, -4, -2],\n [2, 0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-988
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 3, -1, 4],\n [3, -2, -4, 0],\n [-1, -4, 3, 0],\n [4, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1293
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, -1, -2, 2],\n [-1, -3, 2, -4],\n [-2, 2, 1, 0],\n [2, -4, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1107
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 1) of the result:\nA =\n[[2, 4, 0, -2],\n [4, -3, 0, 0],\n [0, 0, 4, 2],\n [-2, 0, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-368
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 3, 0, 1],\n [3, -1, 0, 0],\n [0, 0, 3, -4],\n [1, 0, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-120
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, -2, -2, -1],\n [-2, 0, -2, -2],\n [-2, -2, 2, 1],\n [-1, -2, 1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5476
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 2, 3, -1],\n [2, -2, 3, 1],\n [3, 3, -1, 2],\n [-1, 1, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
631
|
MATH
|
[
{
"content": "Find the value at position (1, 4) of the 3th power of the matrix:\n[[1, 1, -2, 0],\n [1, 0, -1, -1],\n [-2, -1, 4, -2],\n [0, -1, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
25
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 4) of the result:\nA =\n[[3, 3, -4, -2],\n [1, -3, 3, -3],\n [-3, 1, 2, 0],\n [4, -3, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-78
|
MATH
|
[
{
"content": "What is the value at position (4, 4) of the matrix A^3 where A is:\n[[0, -4, -2, 0],\n [-4, 1, 2, 2],\n [-2, 2, 0, 0],\n [0, 2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 1, 3, 0],\n [0, 4, 0, 2],\n [2, 0, 1, -3],\n [1, -4, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2471
|
MATH
|
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