messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[-3, 3, -3, -2],\n [-3, -3, 4, -3],\n [1, -2, -2, 0],\n [-2, -3, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
50
|
MATH
|
[
{
"content": "Find the value at position (3, 4) of the 3th power of the matrix:\n[[-2, -2, 4, -2],\n [-2, -2, 2, 2],\n [4, 2, -3, 3],\n [-2, 2, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
216
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 4, -4, -2],\n [-1, -3, 0, 4],\n [-3, -1, 0, -1],\n [0, -3, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-243
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 3, 0, -2],\n [3, 1, 0, 2],\n [0, 0, -2, 3],\n [-2, 2, 3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-14
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 1, 1, -4],\n [0, -4, -2, 3],\n [2, 3, 1, -1],\n [-3, -2, -1, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2954
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 0, -2, 1],\n [-3, 2, -3, -1],\n [3, 1, 3, -1],\n [-3, 2, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
23
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 0, 2, 2],\n [0, 4, 2, 0],\n [2, 2, 1, 0],\n [2, 0, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
286
|
MATH
|
[
{
"content": "What is the value at position (3, 4) of the matrix A^3 where A is:\n[[2, -2, -3, -3],\n [3, -4, 2, 4],\n [0, -4, 0, 0],\n [4, -1, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
164
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 1, 3, 0],\n [-1, -4, 3, 3],\n [4, -1, 2, -3],\n [-4, 3, 0, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5909
|
MATH
|
[
{
"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[1, -1, -2, 0],\n [-1, 0, 0, 2],\n [-2, 0, 2, -3],\n [0, 2, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
13
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 0, 1, -1],\n [0, 4, -1, 0],\n [1, -1, -1, -3],\n [-1, 0, -3, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-68
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 1, -1, -2],\n [-4, 2, -1, 4],\n [-3, 2, -3, 4],\n [-4, -4, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1238
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, -4, 3, 3],\n [2, 0, 1, 4],\n [4, 1, 3, -3],\n [3, 1, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1146
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, -4, 4, -2],\n [4, 1, -2, 3],\n [4, 2, 2, 0],\n [1, -3, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7652
|
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 [0, 1, 3, 0],\n [0, -3, 1, -1],\n [-1, 1, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-386
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 1, 3, -2],\n [4, -2, -4, -4],\n [4, 4, -1, 0],\n [-2, -2, -1, -1]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
107
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[1, -2, -1, 4],\n [0, -4, 2, 4],\n [2, 2, 4, -1],\n [-1, -3, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
32
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, 0, 0, 0],\n [0, 4, 3, -2],\n [0, 3, 3, 2],\n [0, -2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3630
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 0, 3, 3],\n [0, -1, 1, 0],\n [3, 1, 0, 0],\n [3, 0, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
782
|
MATH
|
[
{
"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[1, -1, -2, -2],\n [-4, 4, -1, 2],\n [1, 4, -2, -2],\n [-4, 4, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 1, 3, 2],\n [3, 2, 1, -2],\n [-1, -3, 1, 1],\n [1, 3, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-65
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 0, -1, 3],\n [1, -3, -3, 1],\n [-4, -4, 2, 1],\n [4, -1, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
200
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 0, -2, 0],\n [0, -1, 2, 0],\n [-2, 2, -1, 0],\n [0, 0, 0, 4]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
113
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, 1, -4, -4],\n [4, 2, -3, 2],\n [-3, -2, -1, 3],\n [-3, 0, -4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
15770
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 0, 4, 0],\n [3, -4, 0, 1],\n [-2, -3, -3, -1],\n [3, -3, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1338
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 2, -4, -4],\n [4, 0, -4, 3],\n [3, -3, 0, 0],\n [-3, -1, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5034
|
MATH
|
[
{
"content": "Find the value at position (2, 3) of the 4th power of the matrix:\n[[1, -1, 0, 1],\n [-4, 4, 0, -1],\n [2, 0, -2, 2],\n [-3, 4, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-81
|
MATH
|
[
{
"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[1, 2, -1, 2],\n [2, 2, -1, 1],\n [-1, -1, 1, 2],\n [2, 1, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-60
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 4, 1, 2],\n [-2, 0, -3, -1],\n [0, -4, -3, -1],\n [-3, -3, 1, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-291
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 2, 4, -2],\n [2, -4, 0, -2],\n [4, 0, -1, -1],\n [-2, -2, -1, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8034
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, -1, -1, 0],\n [-1, -4, 2, 4],\n [-1, 2, 1, 0],\n [0, 4, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
170
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, -4, 1, -1],\n [-4, 0, -3, 2],\n [-4, 1, 1, -3],\n [-4, -2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5567
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 0, -4, 0],\n [-3, -2, -1, -1],\n [1, -2, 4, -1],\n [2, -2, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-202
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -2, -2, 2],\n [-2, -4, 1, 2],\n [-2, 1, -3, -2],\n [2, 2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-164
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 0, -3, -1],\n [-2, 2, 3, 0],\n [-1, -4, 4, -4],\n [-1, -4, 1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
374
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 2) of the result:\nA =\n[[-2, -2, -2, -2],\n [-2, 1, -2, 2],\n [-2, -2, 3, -3],\n [-2, 2, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-22
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 1, -1, -1],\n [0, 4, 2, 2],\n [2, 3, -4, 3],\n [4, -2, -2, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
78
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 1, 0, -2],\n [1, 4, 0, -2],\n [0, 0, 1, 0],\n [-2, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
483
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 0, 0, 0],\n [0, 1, 2, 2],\n [0, 2, -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"
}
] |
17
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 1, -4, -1],\n [2, 4, -3, 0],\n [-2, 4, 4, 1],\n [-1, -3, 3, -1]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1322
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 4, 2, 0],\n [4, -4, -2, 0],\n [2, -2, 3, -2],\n [0, 0, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1178
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 2, -4, 0],\n [2, -4, 2, 4],\n [-4, 2, -3, 2],\n [0, 4, 2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
17710
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -4, -3, -3],\n [2, 0, -1, 1],\n [4, 0, -4, -2],\n [-2, -1, -2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3916
|
MATH
|
[
{
"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[-4, 1, 0, -2],\n [4, 1, 2, 0],\n [-1, 4, 0, 4],\n [4, -2, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-246
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 3, 1, 2],\n [4, 3, -4, -4],\n [-1, 1, -1, -4],\n [1, 1, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
262
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 2, 2, -4],\n [2, -4, 1, 0],\n [-2, 1, 1, -2],\n [4, 4, 3, -4]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-78
|
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, 1, -2],\n [3, 2, -4, -3],\n [3, 0, -2, -1],\n [3, 3, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
309
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 2, 0, 0],\n [2, 4, 1, 0],\n [0, 1, 1, 2],\n [0, 0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3582
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, -1, 3, 1],\n [-1, -4, 0, -2],\n [3, 0, 4, 2],\n [1, -2, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5687
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, -1, 0, 2],\n [-1, 0, -1, -4],\n [0, -1, -3, 2],\n [2, -4, 2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-264
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, -4, 3, 3],\n [3, -2, -2, 1],\n [0, 2, 0, 4],\n [1, 3, 1, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
546
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 1) of the result:\nA =\n[[0, 4, -2, 2],\n [4, 2, -4, 2],\n [-2, -4, -3, 0],\n [2, 2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-778
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -1, -3, 2],\n [-1, -2, -1, 2],\n [-3, -1, 2, 2],\n [2, 2, 2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8548
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -1, 1, -3],\n [-1, -2, 2, 2],\n [1, 2, -2, -2],\n [-3, 2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3617
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 4, 1, -1],\n [4, 0, 3, 0],\n [0, -4, 2, -2],\n [2, 2, 3, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4114
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[-1, 1, 1, 0],\n [-1, -1, 4, -1],\n [3, 1, -2, 3],\n [3, 4, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
67
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 0, 1, 3],\n [4, 1, -3, -3],\n [2, 1, -4, -3],\n [-2, -2, -2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1048
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, -4, -2, 4],\n [-2, -4, 1, -2],\n [0, -2, 4, 3],\n [-2, 3, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-417
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 1, 0, -2],\n [1, -3, 1, 2],\n [0, 1, -3, -2],\n [-2, 2, -2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-295
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, -2, -1, 3],\n [-4, 2, -3, 2],\n [-2, -1, 1, 3],\n [3, -1, 3, -3]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
259
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[0, 4, 0, -2],\n [-2, -4, -2, 4],\n [-4, 1, -4, -4],\n [3, -1, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
892
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, -3, -3, -3],\n [0, -2, 3, -4],\n [0, -4, -4, -1],\n [-2, 1, -2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1192
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 0, 2, 3],\n [0, 4, 0, -1],\n [2, 0, 0, 2],\n [3, -1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
987
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 2, -2, 0],\n [2, 3, 0, -2],\n [-2, 0, -2, 1],\n [0, -2, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
962
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 0, -4, -2],\n [0, -2, 2, -3],\n [-4, 2, -4, -2],\n [-2, -3, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8561
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, -2, -2, -2],\n [-2, -1, 0, 0],\n [-2, 0, -4, 4],\n [-2, 0, 4, 4]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1328
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 4, 1, 0],\n [4, -3, 2, -1],\n [1, 2, 4, -2],\n [0, -1, -2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1332
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, -3, -2, -2],\n [-3, -2, 0, 2],\n [-2, 0, 2, -2],\n [-2, 2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5830
|
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 [3, -4, 2, 4],\n [2, 2, 3, 2],\n [-3, 4, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2907
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 2, -2, -4],\n [-1, -2, -3, 0],\n [-3, -2, 0, -1],\n [-2, 1, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-205
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -4, -3, -2],\n [-4, 0, -1, 0],\n [-3, -1, 2, 0],\n [-2, 0, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
888
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 0, -2, 0],\n [0, -1, 2, 2],\n [-2, 2, -1, 4],\n [0, 2, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
934
|
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, -3],\n [-2, 4, -4, 0],\n [-2, -4, 1, 0],\n [-3, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7949
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 3, -1, 4],\n [3, 2, 4, 0],\n [-1, 1, 3, 0],\n [-4, 1, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3228
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, -1, -4, 1],\n [3, 2, 1, 3],\n [-2, -1, 1, 3],\n [-4, 1, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
298
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -1, 0, 0],\n [-1, 0, 0, 2],\n [0, 0, 0, 1],\n [0, 2, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
34
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 0, 0, -3],\n [0, 0, 2, 0],\n [0, 2, -1, -2],\n [-3, 0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2607
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 0, 0, 0],\n [0, 3, 1, -2],\n [0, 1, 1, 0],\n [0, -2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
304
|
MATH
|
[
{
"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[4, 0, 0, -1],\n [0, 3, 0, 2],\n [0, 0, -2, 2],\n [-1, 2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
425
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 2, 0, -1],\n [2, 2, -1, 4],\n [0, -1, -1, -2],\n [-1, 4, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3483
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, -1, 0, 4],\n [-1, 2, 0, 2],\n [0, 0, -3, 3],\n [4, 2, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
126
|
MATH
|
[
{
"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[2, 2, -1, -2],\n [2, -2, 0, 0],\n [-1, 0, -3, 2],\n [-2, 0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
30
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[1, 2, 0, 1],\n [1, 0, 2, -2],\n [4, 3, 1, 4],\n [4, 1, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
142
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 1, 2, 0],\n [1, -1, -2, -2],\n [2, -2, 2, 2],\n [0, -2, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1016
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 0, 0, 2],\n [0, -1, 0, 0],\n [0, 0, 4, 0],\n [2, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
252
|
MATH
|
[
{
"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[-2, 0, 1, -2],\n [-3, -4, 1, 2],\n [1, -3, 0, 0],\n [-1, 2, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
235
|
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, 2],\n [-4, 4, 2, 1],\n [1, 2, -2, -4],\n [3, -2, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
920
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 4, 0, -2],\n [4, 3, 1, -2],\n [0, 1, -1, 0],\n [-2, -2, 0, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4392
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 0, -3, -3],\n [0, -2, -1, 2],\n [-3, -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"
}
] |
6998
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, -2, -1, -2],\n [-2, 4, 0, -4],\n [-1, 0, 0, -2],\n [-2, -4, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
814
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, -2, -1, 2],\n [-2, 4, 2, -2],\n [-1, 2, 3, -2],\n [2, -2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10285
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, -2, 3, -1],\n [-2, 1, 4, -4],\n [2, 0, 0, -3],\n [-1, 1, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5922
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 2, 4, 2],\n [-2, -2, -3, -4],\n [2, 1, 0, 4],\n [2, 1, 0, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-31
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[-4, -4, -2, 2],\n [-4, -2, -1, 0],\n [-2, -1, 4, -2],\n [2, 0, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-106
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -2, -1, 3],\n [-2, 1, 0, 4],\n [-3, 0, 3, 0],\n [0, 0, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
74
|
MATH
|
[
{
"content": "What is the value at position (4, 1) of the matrix A^4 where A is:\n[[-1, 2, 0, -3],\n [-3, -3, 2, 2],\n [-4, 3, -1, 4],\n [-1, -2, -3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
54
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, -1, 3, -3],\n [2, 2, -1, 0],\n [0, 0, -3, 0],\n [2, 4, 2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-148
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 1, -3, 0],\n [-3, 4, -1, -1],\n [1, 2, -4, 0],\n [3, 2, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
16
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 0, 0, 2],\n [-4, -3, 4, -3],\n [0, 0, -4, 4],\n [-2, 1, -4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-575
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 2, -1, 0],\n [2, 2, -1, 1],\n [-1, -1, 1, 2],\n [0, 1, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
179
|
MATH
|
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