messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[2, -3, -2, -1],\n [-2, -2, 2, 2],\n [4, 0, -3, -1],\n [2, -1, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, -2, 3, -2],\n [-1, 4, -1, 4],\n [1, -1, 2, -2],\n [-2, -2, -2, 0]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-56
|
MATH
|
[
{
"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[-3, 2, 0, 0],\n [2, -3, 0, -2],\n [0, 0, 2, -2],\n [0, -2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
144
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 2, -3, 0],\n [-1, 4, 3, -4],\n [3, -4, 3, 1],\n [-3, -2, -4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7491
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 2, -2, 0],\n [2, 1, 2, 2],\n [-2, 2, 3, -1],\n [0, 2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1222
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 3, -2, 0],\n [3, -3, 0, -3],\n [-2, 0, 1, -3],\n [0, -3, -3, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-354
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, -1, 0, 3],\n [-1, 0, -4, 1],\n [0, -4, 2, 2],\n [3, 1, 2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1240
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 0, 0, 0],\n [0, 2, -1, 1],\n [0, -1, 4, -4],\n [0, 1, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1157
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -3, -3, -4],\n [-3, -1, 2, 0],\n [-3, 2, -2, 3],\n [-4, 0, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10846
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 0, 2, 0],\n [0, -3, -4, 0],\n [2, -4, -1, 0],\n [0, 0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2167
|
MATH
|
[
{
"content": "What is the value at position (2, 2) of the matrix A^4 where A is:\n[[1, -2, 2, -4],\n [1, -4, 1, -4],\n [-4, -3, 0, -4],\n [-4, 3, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-443
|
MATH
|
[
{
"content": "Find the value at position (4, 2) of the 4th power of the matrix:\n[[2, -4, -4, 1],\n [-1, -3, 0, -3],\n [-2, -2, -4, -4],\n [2, -3, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
589
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 1) of the result:\nA =\n[[0, -3, -1, 0],\n [-3, -3, 0, 2],\n [-1, 0, -2, 0],\n [0, 2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-162
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, -3, -3, 0],\n [-2, 0, 3, -4],\n [2, -3, -1, -1],\n [-3, -1, -1, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
611
|
MATH
|
[
{
"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[4, 3, 2, -2],\n [2, 3, -2, 2],\n [-4, 3, -4, -3],\n [-2, -2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
34
|
MATH
|
[
{
"content": "Find the value at position (2, 1) of the 4th power of the matrix:\n[[-4, 0, 2, 1],\n [0, -4, -2, -2],\n [2, -2, 2, -4],\n [1, -2, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-558
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -1, 1, -2],\n [0, 2, -3, 0],\n [1, 3, 2, -2],\n [-1, 0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
358
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, 1, -3, -4],\n [-4, -3, -4, 2],\n [3, -3, 4, -3],\n [-3, -2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2560
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -2, 1, -2],\n [3, -4, 4, -4],\n [1, 3, -3, 1],\n [3, 4, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
936
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, -1, 1, -3],\n [-1, 4, 1, 2],\n [-2, 1, 0, -3],\n [-1, 3, 1, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2256
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, -4, -2, 3],\n [-3, -1, -4, 0],\n [3, -4, -1, -2],\n [0, 2, -2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1134
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, -2, 1, 0],\n [-2, -4, 0, 2],\n [1, 0, -2, 1],\n [0, 2, 1, 3]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-7
|
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, -2, 0],\n [1, 4, 2, -1],\n [-2, 2, -2, 1],\n [0, -1, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2065
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 2, -2, 1],\n [2, 1, -2, 1],\n [-2, -2, -3, -2],\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"
}
] |
465
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 1, -4, -4],\n [-3, 2, 4, 1],\n [0, -4, -4, -2],\n [3, -4, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
740
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, 0, -1, 2],\n [1, 2, -4, 0],\n [2, -2, 0, -4],\n [-2, -2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2026
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, -4, 2, 2],\n [-4, -4, 0, 0],\n [2, 0, 0, 0],\n [2, 0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4693
|
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, 1, 0],\n [1, -2, -1, -1],\n [-2, 2, 3, 3],\n [1, -1, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1302
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, -2, 0, 0],\n [-2, -2, 2, -2],\n [0, 2, 1, 0],\n [0, -2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
468
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, -1, 0, -1],\n [3, -3, -2, 0],\n [-1, -2, -1, 1],\n [-1, 4, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1514
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[-1, -2, -2, 4],\n [3, 1, 0, 1],\n [-3, 1, -2, 4],\n [4, -4, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-50
|
MATH
|
[
{
"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[-2, -1, -1, -4],\n [1, -4, -2, 0],\n [-2, 3, 3, 1],\n [-4, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
437
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -2, 0, 0],\n [-2, -1, -2, -4],\n [0, -2, -3, 0],\n [0, -4, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7588
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 0, 3, 0],\n [0, -3, 0, 2],\n [3, 0, 3, 1],\n [0, 2, 1, -1]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
68
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, -4, -2, 2],\n [-2, 2, 3, 2],\n [-1, 1, 0, 3],\n [2, -3, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-157
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[3, -3, 2, 4],\n [2, 2, -2, 1],\n [0, -4, -1, -2],\n [-3, -1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-108
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 4) of the result:\nA =\n[[3, -4, 0, -2],\n [-4, -4, 0, 2],\n [0, 0, 1, -2],\n [-2, 2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-54
|
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, 0, 2],\n [-1, 1, 0, 0],\n [0, 0, 2, -1],\n [2, 0, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
490
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -3, -4, -1],\n [-4, -1, 0, 2],\n [0, 3, -2, -4],\n [-4, -1, 4, 1]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
244
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -3, 0, -2],\n [-3, 1, 0, 0],\n [0, 0, 0, 0],\n [-2, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
560
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, -3, -2, -2],\n [-2, -3, 2, 1],\n [1, 0, 3, 2],\n [-4, 1, 3, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
43
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 4, 3, 3],\n [-2, 4, 2, -2],\n [-4, -1, 0, -2],\n [-4, 2, 2, 1]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-348
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, -2, -3, -2],\n [-2, 3, 2, 3],\n [-3, 2, 4, 1],\n [-2, 3, 1, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3280
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 3, 1, 0],\n [4, 2, 1, 2],\n [0, 4, 2, 3],\n [-3, -4, 2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1253
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -3, -1, -4],\n [0, -3, -4, -1],\n [2, 3, -3, 1],\n [0, -3, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
310
|
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 [-3, -2, -4, 3],\n [-1, 1, -1, -2],\n [3, -1, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
294
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, -2, 4, -2],\n [-2, -2, 0, -2],\n [4, 0, -3, 2],\n [-2, -2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6075
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 2, -2, 3],\n [4, 0, 1, 1],\n [2, -4, 1, 1],\n [2, 0, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
72
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 2, 1, 3],\n [4, -4, 2, -3],\n [-4, -3, 1, -1],\n [1, -1, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
860
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 4, 1, 0],\n [1, 2, -3, -4],\n [1, -3, 3, -4],\n [1, 4, -4, -3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-68
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, -4, -1, 2],\n [0, 2, 3, 3],\n [-2, 3, -4, 1],\n [-2, 0, 3, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
78
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 2, -2, 2],\n [-3, 3, 4, -2],\n [1, 4, 1, -4],\n [2, -1, -1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
130
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 2, 2, -4],\n [2, -2, 0, 0],\n [2, 0, -2, -2],\n [-4, 0, -2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
352
|
MATH
|
[
{
"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[-4, -2, -1, 4],\n [-2, -1, 2, 4],\n [1, 2, 3, 1],\n [1, -1, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8
|
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, -3],\n [4, 1, -2, -3],\n [1, 1, -4, -4],\n [-4, -1, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1374
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[0, -2, -1, 0],\n [-2, 3, 0, 0],\n [-1, 0, -2, 2],\n [0, 0, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-42
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 3, 0, 4],\n [3, -4, 4, 0],\n [-2, 0, 0, 4],\n [4, 0, -3, 4]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-236
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, -2, 0, -2],\n [-2, -1, -2, -2],\n [0, -2, 1, 0],\n [-2, -2, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
667
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -2, 1, 1],\n [-2, 4, 0, 2],\n [1, 0, -3, 2],\n [1, 2, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
683
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 3, 2, 0],\n [3, 4, 0, 0],\n [2, 0, 0, -2],\n [0, 0, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
348
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 2, 2, -2],\n [2, 4, 0, 1],\n [2, 0, 4, 1],\n [-2, 1, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
421
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 0, 4, 2],\n [0, 4, 0, 0],\n [4, 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"
}
] |
1150
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 0, 1, -3],\n [3, 2, -4, -2],\n [0, 0, -2, 2],\n [4, 3, -4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-753
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, 3, 1, 4],\n [3, 1, -2, -2],\n [2, -1, 1, 3],\n [-2, -1, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
719
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 1) of the result:\nA =\n[[3, 3, 2, -4],\n [-2, 3, 1, 4],\n [1, 0, 0, 0],\n [2, -2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-234
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, -1, -1, 3],\n [3, -2, 4, -3],\n [-3, 0, 3, -1],\n [2, 0, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2362
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 0, -1, 2],\n [0, -1, 0, 1],\n [-1, 0, 1, 2],\n [2, 1, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
500
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, -3, 2, 1],\n [-1, -3, -2, 2],\n [3, 4, 3, -4],\n [-1, -4, -1, 2]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
653
|
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, -2, 1],\n [2, 4, -2, -3],\n [3, 1, -4, 0],\n [4, 4, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
465
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 3, 1, 2],\n [0, -3, -4, -3],\n [-4, -2, 3, -1],\n [-3, 2, 4, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-836
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 4) of the result:\nA =\n[[0, -3, 1, 0],\n [-3, 1, 0, -1],\n [1, 0, -2, -2],\n [0, -1, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-15
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 4, -2, -4],\n [4, -3, 2, 0],\n [1, 4, -3, -3],\n [-2, -4, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2709
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 1, 1, -3],\n [2, 1, -2, -2],\n [3, -1, -2, 4],\n [-3, 2, -1, 4]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
248
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 2, 1, 0],\n [-1, -4, 0, 3],\n [4, -2, -3, 3],\n [2, 3, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1203
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, -2, 2, -2],\n [-2, 3, -2, -2],\n [2, -2, 4, -3],\n [-2, -2, -3, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
61
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 4, -3, -3],\n [-2, 4, -3, -1],\n [-4, -2, 4, -3],\n [0, -4, 1, 3]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-182
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 4) of the result:\nA =\n[[2, -3, -4, -1],\n [-2, 1, 3, 2],\n [2, -1, 1, 2],\n [-4, -1, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
24
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[1, 2, 1, 0],\n [-2, -3, 1, -3],\n [4, 0, 1, -2],\n [-3, 2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[3, 0, 0, 0],\n [-4, -3, 0, 0],\n [1, -4, -3, -2],\n [-3, -3, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -1, -2, -1],\n [2, 0, -1, 2],\n [3, 1, -1, -3],\n [-1, 4, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-72
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 3, -3, 0],\n [-2, -2, 1, 4],\n [2, 4, -1, 4],\n [-4, 3, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
27
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -4, -3, 0],\n [4, -4, -4, 2],\n [-2, -1, -3, 0],\n [-4, -4, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
12812
|
MATH
|
[
{
"content": "What is the value at position (4, 2) of the matrix A^4 where A is:\n[[0, 0, 2, 0],\n [0, -1, 0, 3],\n [2, 0, 0, -2],\n [0, 3, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-633
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 3, 2, -4],\n [-4, 4, 2, -1],\n [-2, -4, 1, 3],\n [-1, 4, -1, 0]]\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^3 where A is:\n[[2, -1, -4, 0],\n [1, 1, -1, -4],\n [-4, 2, -2, -3],\n [4, 3, 3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
336
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 4, 3, 1],\n [-2, -1, -1, 4],\n [-4, 3, 2, 0],\n [0, 1, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-249
|
MATH
|
[
{
"content": "Find the value at position (4, 4) of the 3th power of the matrix:\n[[3, -4, 3, 0],\n [-4, 2, 3, -1],\n [-3, -4, 3, -1],\n [-3, 0, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-7
|
MATH
|
[
{
"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[2, 3, 0, 0],\n [3, 1, -2, -3],\n [0, -2, 1, -1],\n [0, -3, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-141
|
MATH
|
[
{
"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[-1, 0, 3, 2],\n [-1, -2, 0, -2],\n [3, -2, 3, -3],\n [2, 3, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-10
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 2, 0, 0],\n [-2, -4, 1, -2],\n [-4, -2, -4, 1],\n [3, 0, 4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
228
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 1, -1, 4],\n [1, 3, 4, 0],\n [4, 3, 2, -2],\n [1, -2, 3, 2]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-47
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 2, 0, 0],\n [2, 3, 0, 0],\n [0, 0, -2, 0],\n [0, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
725
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 3, 2, 3],\n [-1, -4, -4, 2],\n [0, -1, 3, 1],\n [-3, 2, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
593
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, -2, -2, -2],\n [-2, -4, 1, 0],\n [-2, 1, 0, 0],\n [-2, 0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2463
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 2, 3, -1],\n [2, 1, 0, 1],\n [3, 0, -1, 2],\n [-1, 1, 2, -1]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
54
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -3, 2, 3],\n [2, 3, -3, -3],\n [4, 3, -1, -4],\n [-3, -4, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1043
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 3, 2, 1],\n [0, -4, -4, 3],\n [1, 4, 2, 2],\n [-3, 1, 3, -3]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
33
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -2, -2, -1],\n [-2, 0, 2, -3],\n [-2, 2, -3, 0],\n [-1, -3, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4312
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 0, 0, -1],\n [0, -2, 3, -1],\n [0, 3, 3, 0],\n [-1, -1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
252
|
MATH
|
[
{
"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[4, 2, -2, 0],\n [2, 3, -2, 0],\n [-2, -2, -3, 2],\n [0, 0, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
144
|
MATH
|
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