messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 0, 2, -2],\n [2, -3, 3, -1],\n [3, 3, 1, -4],\n [2, 0, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
354
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 3, -4, -1],\n [0, 2, -1, -1],\n [0, 2, -3, -1],\n [-1, 1, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1104
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 1, 0, 0],\n [1, -4, 0, -2],\n [0, 0, 2, 0],\n [0, -2, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
939
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[-3, 4, -2, -2],\n [4, -1, 0, 0],\n [-2, 0, -1, -2],\n [-2, 0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-496
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, -3, -1, 3],\n [-1, -4, 1, 4],\n [2, -2, -3, 0],\n [-1, -1, 2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
390
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 2, 1, 0],\n [-4, 0, -2, 1],\n [3, 0, -3, 3],\n [0, 1, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
34
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 2, 0, 0],\n [2, -1, -2, -2],\n [0, -2, -4, 0],\n [0, -2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5410
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[-4, 1, -3, 0],\n [-2, 1, -2, -4],\n [0, 0, -4, 0],\n [-2, 1, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 0, 3, -2],\n [0, 2, 3, -1],\n [3, 3, -3, -4],\n [-2, -1, -4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2841
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 4, 0, -4],\n [4, 1, 0, 0],\n [0, 0, 2, 0],\n [-4, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1473
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[-2, 0, 2, 0],\n [0, -3, 2, -1],\n [2, 2, 0, -2],\n [0, -1, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
276
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 0, 0, 2],\n [0, -1, -4, 2],\n [0, -4, 0, 0],\n [2, 2, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
573
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, -3, 3, -4],\n [-1, -1, -2, -1],\n [2, -3, 2, 3],\n [-2, 2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2610
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 1, 1, -4],\n [1, -2, 2, -2],\n [1, 2, -1, 0],\n [-4, -2, 0, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1023
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 0, 0, 0],\n [0, 2, -2, -3],\n [0, -2, 4, -4],\n [0, -3, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
904
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 2, -2, 0],\n [2, -4, 0, -2],\n [-2, 0, -2, 0],\n [0, -2, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
477
|
MATH
|
[
{
"content": "Find the value at position (4, 2) of the 4th power of the matrix:\n[[-3, 1, -2, -2],\n [1, 0, 2, -3],\n [-2, 2, -3, 0],\n [-2, -3, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
133
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 3, 1, -2],\n [0, 0, -3, -3],\n [0, -2, -3, 3],\n [-2, -1, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-120
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 3, 3, -2],\n [1, -3, -1, -2],\n [2, -3, 3, -1],\n [-3, 4, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-400
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 1) of the result:\nA =\n[[3, 0, -2, -2],\n [0, 4, -2, 3],\n [-2, -2, -1, 0],\n [-2, 3, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-48
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 2, 2, -1],\n [2, 0, 0, 4],\n [2, 0, 0, 2],\n [-1, 4, 2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5136
|
MATH
|
[
{
"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[-4, -4, -4, 1],\n [4, 3, -2, 3],\n [0, 2, 4, -4],\n [1, -4, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-64
|
MATH
|
[
{
"content": "What is the value at position (4, 3) of the matrix A^3 where A is:\n[[4, 3, -2, 2],\n [3, 2, -4, 1],\n [-2, -4, 0, -3],\n [2, 1, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-207
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 2) of the result:\nA =\n[[-4, 2, 1, 1],\n [-1, 1, 0, -1],\n [2, 1, -3, 0],\n [3, 4, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
80
|
MATH
|
[
{
"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[0, 1, -1, 0],\n [-1, 4, 0, 1],\n [3, -2, 1, -1],\n [1, -3, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
46
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 1, -1, 2],\n [1, 1, 0, 0],\n [-1, 0, 3, -1],\n [2, 0, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
63
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 0, -1, 0],\n [0, -3, 2, 0],\n [-1, 2, -1, 2],\n [0, 0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
333
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, 0, 0, 4],\n [4, 1, -4, 1],\n [4, -2, 4, -3],\n [2, -4, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2070
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 0, -2, -4],\n [-4, 0, 2, 2],\n [-3, 3, -1, 0],\n [2, -1, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
299
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[0, 2, -1, -4],\n [1, -3, -4, 1],\n [2, 4, 0, -1],\n [-3, -4, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-46
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, -1, 1, 4],\n [-1, -1, -1, 3],\n [-1, 2, 2, 0],\n [2, -1, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
128
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 3, -3, 0],\n [4, 0, -2, -2],\n [0, -3, 2, 3],\n [1, 0, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4803
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, -1, 1, 3],\n [-3, -2, 0, 4],\n [-1, 1, 2, 0],\n [4, 3, -1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2018
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 0, -2, 0],\n [0, 2, 2, 0],\n [-2, 2, -4, 4],\n [0, 0, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
15
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 2, 0, 3],\n [2, -3, -2, 0],\n [0, -2, 2, 1],\n [3, 0, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3252
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 0, 1, -4],\n [0, -3, 2, 1],\n [1, 2, -2, -3],\n [-4, 1, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-214
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 0, -3, -1],\n [1, 3, 2, -3],\n [0, 1, -2, -1],\n [1, 4, -2, 3]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
61
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 1, -4, -4],\n [-1, -3, -4, -1],\n [1, -2, 4, 2],\n [-4, 4, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
876
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, -4, -1, 1],\n [-4, 2, 2, 4],\n [-1, 2, 3, 2],\n [1, 4, 2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
19289
|
MATH
|
[
{
"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[-4, 2, 0, 1],\n [2, -3, 2, -2],\n [0, 2, -4, -2],\n [1, -2, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-122
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 1, 2, 0],\n [1, 4, -3, 4],\n [2, -3, 0, -1],\n [0, 4, -1, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1078
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[2, 0, 2, -3],\n [0, 1, 0, 0],\n [2, 0, 0, 1],\n [-3, 0, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -3, -4, 0],\n [2, -2, -3, 3],\n [3, 0, 4, 4],\n [-4, -3, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1399
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 3, 1, -2],\n [3, -4, -3, 0],\n [1, -3, 1, -2],\n [-2, 0, -2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8852
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 3, -2, 2],\n [2, -1, -1, -3],\n [4, -2, 3, -3],\n [3, -2, 0, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
706
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 2, 4, 0],\n [2, 2, -1, -2],\n [4, -1, -1, 0],\n [0, -2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
514
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 2, 0, 2],\n [2, 0, 0, -2],\n [0, 0, -3, -1],\n [2, -2, -1, 0]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-32
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[3, 0, 4, 3],\n [0, -4, 0, 3],\n [2, 0, -4, -3],\n [-4, 2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-250
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -2, 0, 0],\n [-3, -4, 2, -4],\n [1, 4, 4, 3],\n [-3, 3, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5176
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -3, 3, -3],\n [-1, -4, 2, 3],\n [3, 2, -4, -2],\n [-3, 1, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
14893
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 1, -2, 1],\n [1, 1, 0, 2],\n [-2, 0, -4, 4],\n [1, 2, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
220
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, -1, -3, -1],\n [-1, -2, 0, 4],\n [-3, 0, 4, 2],\n [-1, 4, 2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1144
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 0, 2, 0],\n [0, -4, 0, -1],\n [2, 0, 4, 1],\n [0, -1, 1, 0]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
306
|
MATH
|
[
{
"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[-2, 0, -3, -1],\n [0, -4, 0, -4],\n [-3, 0, -4, 2],\n [-1, -4, 2, 3]]\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^3 where A is:\n[[3, 0, 2, 0],\n [0, 1, 0, 2],\n [2, 0, 3, -4],\n [0, 2, -4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1017
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, -2, 1, -2],\n [-2, -2, -2, 0],\n [1, -2, 3, 0],\n [-2, 0, 0, -4]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-42
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[-2, -3, -2, 3],\n [2, -1, 0, 4],\n [1, 4, -3, 2],\n [0, 2, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-45
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 4, -1, -2],\n [-1, -3, -1, -2],\n [-3, 1, 4, 2],\n [2, -2, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7
|
MATH
|
[
{
"content": "What is the value at position (4, 4) of the matrix A^3 where A is:\n[[-4, 4, 2, -2],\n [1, 2, -4, 2],\n [4, -2, 4, 0],\n [3, -3, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-3
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -2, 3, 0],\n [0, -4, -2, -4],\n [-3, 3, -3, 2],\n [3, 1, 4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
266
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -3, 3, 0],\n [-3, 2, -2, 2],\n [3, -2, 3, 3],\n [0, 2, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
492
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 3, -1, -4],\n [4, -4, 1, -2],\n [3, 3, -2, 3],\n [3, 1, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4536
|
MATH
|
[
{
"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[-1, 2, 3, -4],\n [-3, 1, -3, 4],\n [-1, 1, -2, -1],\n [4, 3, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-158
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 0, -3, 0],\n [0, 0, 0, 2],\n [-3, 0, 3, 2],\n [0, 2, 2, 0]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
12
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 2, 3, -3],\n [-1, 2, 3, 4],\n [0, -1, -3, 1],\n [0, 4, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
741
|
MATH
|
[
{
"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[-4, 2, 0, -2],\n [2, -3, 0, 0],\n [0, 0, -1, -1],\n [-2, 0, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-36
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 2, -2, -1],\n [2, -3, 0, 1],\n [-2, 0, -1, -4],\n [-1, 1, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1276
|
MATH
|
[
{
"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[-1, -2, 0, -2],\n [-2, -4, -3, 0],\n [0, -3, 2, 0],\n [-2, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
128
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, -3, 2, 3],\n [-2, -1, -3, -1],\n [-3, 1, -4, -4],\n [2, 2, -1, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
344
|
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, -3, 0],\n [2, -4, 1, -2],\n [-3, 1, 2, 0],\n [0, -2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4445
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, 0, -2, 0],\n [0, 1, 2, 2],\n [-2, 2, -2, 0],\n [0, 2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2785
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, -3, 3, -3],\n [-2, -1, -1, -3],\n [4, -2, 3, 1],\n [-2, -3, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11199
|
MATH
|
[
{
"content": "What is the value at position (4, 3) of the matrix A^4 where A is:\n[[1, 2, 4, 2],\n [2, 0, 0, 0],\n [4, 0, 3, 0],\n [2, 0, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
296
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, 4, 2, -2],\n [4, -3, 0, -2],\n [2, 0, 4, -2],\n [-2, -2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2982
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 2, 4, -1],\n [2, 2, 4, 1],\n [2, -3, 1, 2],\n [1, -3, -2, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1851
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 0, 0, 2],\n [0, 4, 0, -2],\n [0, 0, -2, 0],\n [2, -2, 0, -2]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-20
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -4, -1, -2],\n [-4, -1, 4, -2],\n [-4, 1, 2, -1],\n [3, -1, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2175
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -4, -4, 1],\n [-2, 1, -3, -4],\n [-4, 1, -3, 0],\n [-1, 3, 1, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6951
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 0, 3, -1],\n [0, 3, 1, 2],\n [3, 1, 4, 2],\n [-1, 2, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7955
|
MATH
|
[
{
"content": "Find the value at position (2, 1) of the 4th power of the matrix:\n[[4, -1, -1, -1],\n [0, 0, 2, -3],\n [-2, 1, 4, 0],\n [-4, 3, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-128
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 0, -2, 3],\n [0, -4, 2, 2],\n [-2, 2, -2, -2],\n [3, 2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8645
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 0, -2, 3],\n [0, 2, -2, -2],\n [-2, -2, -1, -3],\n [3, -2, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1461
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, -4, 0, -2],\n [-4, -2, -4, -2],\n [0, -4, 1, 1],\n [-2, -2, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
16621
|
MATH
|
[
{
"content": "What is the value at position (1, 2) of the matrix A^4 where A is:\n[[-4, -2, -4, -2],\n [-2, -1, 0, -4],\n [-4, 0, 3, 2],\n [-2, -4, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1090
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 2, 3, 4],\n [-3, 1, -1, -3],\n [2, 4, 1, 4],\n [3, 4, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1533
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, -2, -1, -2],\n [-2, 3, 0, 0],\n [-1, 0, -1, -3],\n [-2, 0, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
500
|
MATH
|
[
{
"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[4, 4, 2, 0],\n [1, 1, -2, 4],\n [-2, -1, -3, 1],\n [4, 0, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
105
|
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, 2, -2],\n [-2, -3, 0, -1],\n [2, 0, 2, 2],\n [-2, -1, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2336
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, -3, -2, 0],\n [-3, -1, 3, -1],\n [-2, 3, -2, 1],\n [0, -1, 1, 4]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
18
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 4, 3, -2],\n [-3, -2, -2, -1],\n [3, -1, 0, -1],\n [2, 0, 1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
640
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -3, 1, 0],\n [-3, 0, 1, 0],\n [1, 1, -3, 0],\n [0, 0, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
527
|
MATH
|
[
{
"content": "Find the value at position (4, 3) of the 3th power of the matrix:\n[[3, 1, 0, -1],\n [1, 4, 0, -2],\n [0, 0, 2, 3],\n [-1, -2, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
63
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[4, -2, 0, 0],\n [-2, 1, -2, -2],\n [0, -2, 0, 2],\n [0, -2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
58
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 2, -2, -3],\n [2, -2, 2, 0],\n [-2, 2, 1, 0],\n [-3, 0, 0, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-195
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, -2, 0, -2],\n [-2, 0, -3, 1],\n [0, -3, -3, 0],\n [-2, 1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
522
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 2) of the result:\nA =\n[[-1, 4, 1, 2],\n [-3, -2, 0, 1],\n [2, -1, 1, -1],\n [-1, 0, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
190
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -3, 3, -2],\n [-2, -2, -4, -3],\n [-3, 2, 4, 2],\n [-1, 4, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-70
|
MATH
|
[
{
"content": "What is the value at position (4, 2) of the matrix A^4 where A is:\n[[2, -2, -1, 0],\n [-2, -3, 2, 0],\n [-1, 2, -3, 2],\n [0, 0, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
128
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 3, 2, 0],\n [2, -4, 3, 3],\n [4, 3, 4, -1],\n [-2, 3, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2620
|
MATH
|
[
{
"content": "Find the value at position (4, 2) of the 3th power of the matrix:\n[[-4, -2, 0, 2],\n [-2, -4, 0, 1],\n [0, 0, 4, 2],\n [2, 1, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
109
|
MATH
|
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