messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -2, -2, 2],\n [-2, -3, 2, -1],\n [-2, 2, -3, -1],\n [2, -1, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
495
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, -2, -4, 1],\n [-2, 0, 2, 1],\n [-4, 2, 2, 1],\n [1, 1, 1, -3]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1026
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 1) of the result:\nA =\n[[1, 2, 0, 4],\n [2, 2, 2, -2],\n [0, 2, -2, 1],\n [4, -2, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-452
|
MATH
|
[
{
"content": "Find the value at position (4, 4) of the 3th power of the matrix:\n[[-4, 3, -4, -4],\n [3, 0, 4, 4],\n [2, -3, 1, -3],\n [-1, -1, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-53
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, -2, 0, 2],\n [-2, -3, 0, 1],\n [0, 0, 1, 0],\n [2, 1, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2242
|
MATH
|
[
{
"content": "What is the value at position (4, 1) of the matrix A^4 where A is:\n[[-2, 0, 1, -3],\n [1, -3, 4, 3],\n [4, -3, -3, -3],\n [3, 0, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-58
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 2, 0, 0],\n [2, 3, -2, 0],\n [0, -2, 1, -3],\n [0, 0, -3, 3]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
306
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 2, -1, 2],\n [2, -1, 0, 0],\n [-1, 0, 4, 1],\n [2, 0, 1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2201
|
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, -1, 1],\n [0, -1, 4, -2],\n [0, 1, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3116
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -4, 0, 3],\n [-4, 2, 2, -1],\n [0, 2, -3, 2],\n [3, -1, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-121
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, -3, 0, 4],\n [0, -4, -2, -2],\n [2, -4, 2, 1],\n [4, 4, 2, -4]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-6
|
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, 4, -3],\n [-1, 4, 4, 0],\n [-2, -3, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1788
|
MATH
|
[
{
"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[0, -2, 4, -1],\n [0, 2, 0, -4],\n [0, 4, 2, 2],\n [0, 0, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
64
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 1) of the result:\nA =\n[[3, 2, 2, -1],\n [-1, -4, -1, -2],\n [0, -4, -1, 1],\n [0, -2, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
52
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 4, -1, 1],\n [-1, 3, -3, 4],\n [-3, 2, 4, 4],\n [0, 2, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1570
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 2, 2, 0],\n [2, 0, 1, 4],\n [2, 1, 2, -1],\n [0, 4, -1, 4]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
830
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 3, 4, -2],\n [3, -2, -3, 3],\n [4, -3, 3, 0],\n [-2, 3, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
13307
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 0, 0, 2],\n [0, -2, 2, -3],\n [0, 2, 3, -3],\n [2, -3, -3, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8586
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 1, 2, -1],\n [1, 2, 0, 2],\n [2, 0, 1, -4],\n [-1, 2, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1440
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[3, 2, 0, -4],\n [2, 1, -1, -4],\n [0, -1, -1, 2],\n [-4, -4, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
279
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, -3, -1, -3],\n [1, 4, 1, 4],\n [-3, -3, 4, -2],\n [-4, 4, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4819
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 0, 0, 2],\n [0, 3, -2, -4],\n [0, -2, 2, 2],\n [2, -4, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
525
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 3, 3, 4],\n [3, 4, 0, -2],\n [3, 0, -1, 2],\n [4, -2, 2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
20778
|
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, 3, 1],\n [3, 2, 3, -1],\n [2, -2, 2, -1],\n [0, 4, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1188
|
MATH
|
[
{
"content": "What is the value at position (2, 2) of the matrix A^4 where A is:\n[[3, 1, 1, -4],\n [4, -1, 0, 2],\n [-1, -4, 1, -3],\n [4, 2, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-201
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -2, 0, 0],\n [-2, -2, 0, -1],\n [0, 0, -3, -2],\n [0, -1, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
221
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[-3, 2, -2, 1],\n [2, -4, 0, 3],\n [-2, 0, -1, -3],\n [1, 3, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-600
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -2, 0, 4],\n [1, 1, -1, -4],\n [2, 1, 3, -1],\n [3, 1, 2, -2]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
27
|
MATH
|
[
{
"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[-4, 0, -1, -2],\n [0, 1, 4, -3],\n [-1, 4, 1, 1],\n [-2, -3, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-86
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 3, 1, 3],\n [3, -4, 3, 0],\n [1, 3, -2, -3],\n [3, 0, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1356
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, -3, -3, -2],\n [3, 1, 1, -1],\n [0, 0, 1, -2],\n [-3, 1, 1, 4]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
176
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 0, -2, -2],\n [0, 1, 2, -2],\n [-2, 2, 4, -2],\n [-2, -2, -2, -4]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1044
|
MATH
|
[
{
"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[4, 0, 0, 1],\n [-1, -2, 3, -2],\n [4, -1, -2, 4],\n [2, -4, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
73
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 0, 2, 3],\n [0, 3, 1, -2],\n [2, 1, 1, 0],\n [3, -2, 0, 2]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
12
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -1, -3, 0],\n [-1, 3, 2, -2],\n [-3, 2, 4, -2],\n [0, -2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
17943
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, -1, 2, -2],\n [-1, 2, -2, -2],\n [2, -2, -1, 0],\n [-2, -2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
924
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 2) of the result:\nA =\n[[-1, -3, 1, 0],\n [-3, 2, 2, 0],\n [1, 2, 0, -2],\n [0, 0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-94
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[-3, 0, -2, 4],\n [-3, 0, 0, 0],\n [1, 0, 0, 1],\n [2, 0, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-32
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, -4, 2, 3],\n [4, -3, -2, -2],\n [4, 3, -2, 2],\n [1, 0, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7148
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, -2, 0, 2],\n [-2, 2, 0, -1],\n [0, 0, 0, 0],\n [2, -1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
474
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, -4, -3, 0],\n [-3, 4, 2, 0],\n [-1, -3, 4, -2],\n [1, 1, -3, -1]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
437
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 3, -2, 3],\n [2, -1, -4, 2],\n [1, -3, 2, -1],\n [3, 3, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4469
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 4, 4, 3],\n [-4, 4, 0, -1],\n [3, -4, 0, 3],\n [2, 4, 0, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2273
|
MATH
|
[
{
"content": "What is the value at position (4, 3) of the matrix A^3 where A is:\n[[4, -3, 4, -2],\n [-1, 0, 3, -4],\n [4, 0, 1, -2],\n [2, -1, 4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
59
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 0, 2, -1],\n [0, 1, 2, 2],\n [2, 2, 3, -1],\n [-1, 2, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
81
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, -4, 2, 0],\n [-4, 0, -2, 1],\n [2, -2, 2, -2],\n [0, 1, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
647
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -1, 0, 2],\n [3, 3, -4, 0],\n [-1, -1, 1, -2],\n [-4, 4, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
888
|
MATH
|
[
{
"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[-1, 0, 0, 0],\n [0, 4, -1, -2],\n [0, -1, -1, 1],\n [0, -2, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
35
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 0, -2, 3],\n [0, 3, 2, 0],\n [-2, 2, -2, 2],\n [3, 0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
837
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 1, -2, -3],\n [2, 0, 3, 2],\n [2, -2, 3, -2],\n [3, 2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-240
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -4, 3, -3],\n [2, 3, -3, 1],\n [3, -3, -3, -2],\n [-2, 3, -3, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10591
|
MATH
|
[
{
"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[4, 1, 2, 1],\n [1, 0, -1, -3],\n [2, -1, -2, 2],\n [1, -3, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
167
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[2, 2, -1, 0],\n [-2, 3, -3, -4],\n [2, -3, -4, -3],\n [3, -4, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2185
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, 2, -1, 2],\n [2, 0, 2, 0],\n [-1, 2, 4, 0],\n [2, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1922
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 2, 0, 2],\n [2, 4, -2, -1],\n [0, -2, 3, -4],\n [2, -1, -4, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
13155
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -2, 3, -4],\n [1, -1, 1, 4],\n [3, 0, 0, 4],\n [4, -4, -1, 0]], determine the sum of all entries.\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, 3) of the result:\nA =\n[[-3, -3, 3, -3],\n [-4, -4, 1, 0],\n [-4, -4, -3, 3],\n [1, -1, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
183
|
MATH
|
[
{
"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[3, 2, -3, 0],\n [2, -1, 4, 2],\n [-3, 4, -1, -2],\n [0, 2, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
78
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 1) of the result:\nA =\n[[1, -4, 2, 0],\n [-2, 1, 3, -4],\n [0, 3, 0, 0],\n [1, 0, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-238
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, -4, 2, 1],\n [0, -2, -3, 1],\n [4, -4, 0, 4],\n [1, 0, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
97
|
MATH
|
[
{
"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[4, 0, 2, 0],\n [0, 1, 0, -2],\n [2, 0, 2, 0],\n [0, -2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
336
|
MATH
|
[
{
"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[-3, 2, -2, 0],\n [1, 1, 1, 4],\n [3, 2, 1, 3],\n [0, -4, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-51
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[1, 3, -3, 3],\n [1, -1, -3, -2],\n [-1, -4, -1, -3],\n [2, 1, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-81
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[3, 3, 2, -2],\n [0, -3, -2, 4],\n [-1, 2, 4, -4],\n [3, 1, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-16
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -3, 1, -1],\n [3, 0, -2, 3],\n [-3, 4, 2, -3],\n [1, -2, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-138
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 0, 1, -1],\n [-1, -2, -2, -3],\n [-2, 1, 0, -2],\n [-4, 3, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
92
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 4, 1, -3],\n [-4, 3, 1, 0],\n [2, -3, 1, -4],\n [3, 1, -3, -2]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-95
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 3, -4, 4],\n [-3, -3, 4, -2],\n [2, 0, 2, 3],\n [-1, 2, 2, -4]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-144
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 0, -1, -2],\n [0, 4, 2, -1],\n [-1, 2, 2, -3],\n [-2, -1, -3, 4]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
115
|
MATH
|
[
{
"content": "What is the value at position (4, 2) of the matrix A^3 where A is:\n[[-1, -3, 4, -3],\n [-4, 1, -4, -4],\n [0, 0, 0, 2],\n [-4, 1, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
31
|
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, 0, 1],\n [-2, -2, -1, -2],\n [0, -1, 3, 2],\n [1, -2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
524
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, -3, -2, -4],\n [-4, -2, -1, 4],\n [4, -1, 3, -2],\n [-4, 3, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1035
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 2, -2, 0],\n [2, -4, 0, 0],\n [-2, 0, 1, 0],\n [0, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3942
|
MATH
|
[
{
"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[-2, 2, -1, -1],\n [2, 3, 0, 2],\n [-1, 0, -4, -1],\n [-1, 2, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
30
|
MATH
|
[
{
"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[-4, 0, -3, 2],\n [0, -1, 0, -1],\n [-3, 0, 0, 2],\n [2, -1, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
392
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, -2, -2, 1],\n [-2, -1, 0, 0],\n [-2, 0, 0, -1],\n [1, 0, -1, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1826
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, -2, 0, -3],\n [-2, -4, 0, -2],\n [0, 0, -4, 2],\n [-3, -2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6113
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[0, 2, 0, 0],\n [-2, 0, 2, 3],\n [-4, 0, 0, 1],\n [-2, -4, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-32
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 2, -1, 0],\n [2, 1, 0, 3],\n [-1, 0, -1, -1],\n [0, 3, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1155
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 4, 0, -1],\n [-1, -3, 3, -1],\n [-1, 4, -1, 3],\n [1, 4, 4, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
815
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, -1, -3, 0],\n [2, 2, 3, -4],\n [-3, 1, 0, 4],\n [3, -2, 4, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8552
|
MATH
|
[
{
"content": "Find the value at position (2, 4) of the 3th power of the matrix:\n[[1, 0, -4, 2],\n [0, -1, 0, 2],\n [-4, 0, -4, 2],\n [2, 2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
38
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, -2, -4, 3],\n [-2, 2, -1, 2],\n [-4, -1, -4, 0],\n [3, 2, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2272
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -1, 4, 1],\n [-2, -1, 4, -3],\n [0, -4, 1, -4],\n [0, 2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4080
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[-1, -4, -2, -1],\n [-1, 4, 2, -1],\n [0, -2, -2, -4],\n [-3, 3, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
20
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, -2, -3, 2],\n [-2, 3, -2, 0],\n [-3, -2, 4, 4],\n [2, 0, 4, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3934
|
MATH
|
[
{
"content": "What is the value at position (4, 2) of the matrix A^4 where A is:\n[[-3, -2, 2, -2],\n [-2, -4, 0, 0],\n [2, 0, 4, -4],\n [-2, 0, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
204
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 2, 2, 0],\n [2, -4, 0, 3],\n [2, 0, -4, 2],\n [0, 3, 2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1402
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 4, 2, -4],\n [1, 0, 3, 0],\n [-1, 0, 4, -4],\n [3, 1, 0, -2]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
32
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 2, 0, -2],\n [2, 3, -2, -2],\n [0, -2, -3, -3],\n [-2, -2, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4178
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[4, -3, 4, -2],\n [2, 1, 3, 1],\n [0, -3, -2, 4],\n [-1, 2, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
103
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 1, 0, 2],\n [1, -2, 1, -2],\n [0, 1, 4, -3],\n [2, -2, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1056
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 2, 0, -1],\n [1, 0, 4, 4],\n [4, -3, 0, -1],\n [4, -1, 1, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, -1, -1, -2],\n [-1, 0, 0, -2],\n [-1, 0, 1, 1],\n [-2, -2, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1937
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 0, 3, 2],\n [0, -3, -2, -4],\n [3, -2, 0, -3],\n [2, -4, -3, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
13037
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 4, -4, -3],\n [4, -3, 2, -4],\n [-1, 0, -2, -4],\n [0, 2, -4, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2049
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 1, -1, -1],\n [-1, -2, 0, 2],\n [1, -4, 1, 0],\n [-1, 0, -4, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
401
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 0, 4, -1],\n [-2, 4, 1, -3],\n [-2, -4, -4, 2],\n [3, 2, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
104
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 2, -2, -4],\n [3, -2, 1, -4],\n [1, 3, -4, -1],\n [3, -3, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-100
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 4, 2, 0],\n [4, 2, 0, -4],\n [2, 0, -2, -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"
}
] |
1880
|
MATH
|
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