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[[-4, 3, -3, 0],\n [3, -1, -2, 1],\n [-3, -2, -2, -2],\n [0, 1, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
957
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, -3, 2, -2],\n [-3, 1, -4, -2],\n [2, -4, -2, 2],\n [-2, -2, 2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6413
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, -4, -2, 4],\n [1, 1, 3, 2],\n [0, 0, -4, 2],\n [2, 0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-131
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 2, 0, 0],\n [-1, -2, 3, 0],\n [-1, 2, -3, -2],\n [-1, 3, 4, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1919
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 1, 1, 0],\n [1, 2, 4, 0],\n [1, 4, -4, -1],\n [0, 0, -1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
326
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -2, -2, -2],\n [-2, -3, -2, 0],\n [-2, -2, -4, 2],\n [-2, 0, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-646
|
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, 0, -4],\n [-2, 2, -2, 4],\n [1, 4, -4, 0],\n [3, -1, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
889
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, -1, 2, 3],\n [-2, 3, 4, 0],\n [0, -1, 3, 0],\n [2, 1, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3016
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 0, 0, 0],\n [0, -3, 2, -1],\n [0, 2, -3, -2],\n [0, -1, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
525
|
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, 0, -3],\n [3, 4, 4, 0],\n [0, 4, -4, -1],\n [-3, 0, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1924
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 0, 1, 2],\n [0, -2, 0, 0],\n [1, 0, -4, -3],\n [2, 0, -3, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 2, -2, 0],\n [2, -1, 0, -2],\n [-2, 0, 1, -1],\n [0, -2, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
26
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 3, 4, -1],\n [2, 1, -4, 0],\n [1, 4, 1, 3],\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"
}
] |
654
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[-2, 2, -2, -4],\n [4, 4, 0, -4],\n [-2, -2, 0, -4],\n [-3, 3, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-88
|
MATH
|
[
{
"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[3, 3, -3, 0],\n [0, 2, 4, 2],\n [-4, 2, 0, 4],\n [-2, 0, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
66
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 2, 0, 2],\n [2, -2, 1, 0],\n [0, 1, 3, -2],\n [2, 0, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
488
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-3, 4, 2, 0],\n [4, 3, 3, 0],\n [2, 3, -2, 0],\n [0, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 3, -4, -1],\n [2, -1, -1, -4],\n [3, 2, -3, 3],\n [3, 0, -2, 0]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-50
|
MATH
|
[
{
"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[-2, 0, 0, 0],\n [0, -4, -1, -3],\n [0, -1, 4, 1],\n [0, -3, 1, 1]]?\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, 0],\n [-4, 0, 2, 2],\n [1, 2, 4, -2],\n [0, 2, -2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1140
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 1, -3, -2],\n [1, 2, -2, -2],\n [-3, -2, -4, 2],\n [-2, -2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-197
|
MATH
|
[
{
"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[0, 2, 0, 0],\n [1, 3, -2, 1],\n [3, -4, 2, 2],\n [4, 0, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
91
|
MATH
|
[
{
"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[4, -2, 0, 0],\n [-2, -1, -2, 1],\n [0, -2, 4, -2],\n [0, 1, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-196
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, -4, -2, 2],\n [-4, -1, 2, 0],\n [-2, 2, -4, -3],\n [2, 0, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2942
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -3, -1, -2],\n [3, -2, -4, -4],\n [0, 4, -2, 0],\n [1, 2, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
49
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, -3, -3, -4],\n [-4, -3, 0, 4],\n [-1, -1, 4, -4],\n [0, -2, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-227
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -4, 0, 3],\n [4, -3, 3, 3],\n [-3, -4, 0, -1],\n [3, 1, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2023
|
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, -4, -3],\n [-1, 2, 2, -3],\n [-1, -2, -3, -1],\n [1, 1, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
417
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 0, -2, 2],\n [0, 4, 0, 0],\n [-2, 0, 3, 1],\n [2, 0, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
146
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, -2, -1, -1],\n [1, -1, -3, 3],\n [-4, -2, -2, 1],\n [2, -2, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
388
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 2, 0, 2],\n [2, -2, 2, -1],\n [0, 2, 4, 2],\n [2, -1, 2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4173
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, -3, -1, 4],\n [-3, 4, -3, -1],\n [0, 3, 1, 3],\n [-2, -2, 1, 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[[-2, 0, 0, -2],\n [0, -3, 0, 2],\n [0, 0, 3, 2],\n [-2, 2, 2, -3]], determine the sum of all entries.\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[[3, 4, 0, 2],\n [4, -1, -1, -1],\n [0, -1, 1, 0],\n [2, -1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
498
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -4, 0, -3],\n [0, -2, 3, -4],\n [2, -3, 3, 2],\n [-3, -2, -1, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1991
|
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, -2, 1],\n [-2, -3, -2, -4],\n [0, -4, -4, -1],\n [2, -4, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1321
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, -2, 4, -2],\n [-4, -2, 1, 3],\n [4, -3, -4, -2],\n [2, 4, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7700
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 3, -2, -1],\n [-2, 1, 0, 1],\n [-3, -3, 3, -4],\n [2, 2, -4, 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[[0, -2, 4, 0],\n [-2, -3, 2, 0],\n [4, 2, -1, 2],\n [0, 0, 2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7791
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 4, -4, 2],\n [4, -2, 0, -2],\n [-4, 0, 4, 0],\n [2, -2, 0, 3]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-2188
|
MATH
|
[
{
"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[1, 0, 2, 2],\n [1, -3, -4, 3],\n [-3, -3, -4, 4],\n [-1, -3, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1022
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 1, 2, 0],\n [3, -4, 3, -3],\n [3, -1, 1, -3],\n [1, 3, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
412
|
MATH
|
[
{
"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[2, 4, -4, 2],\n [-3, -4, -1, 3],\n [3, 0, 2, 4],\n [0, -4, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
30
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, -4, -2, 0],\n [-4, -3, 0, 1],\n [-2, 0, 0, 2],\n [0, 1, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3829
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[-3, 2, -3, -4],\n [-4, -4, -3, 0],\n [2, 2, -1, 3],\n [0, 4, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
166
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 2, -4, 4],\n [-2, 2, 3, 4],\n [-2, -4, -2, -4],\n [4, 3, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-146
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 0, 0, 0],\n [0, 3, -4, 2],\n [0, -4, 3, -1],\n [0, 2, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-43
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[-2, -2, -3, 3],\n [2, -2, -3, -1],\n [4, -4, -1, 2],\n [-2, 3, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
186
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, -2, 0, 0],\n [-2, 1, -2, -3],\n [0, -2, 4, -2],\n [0, -3, -2, -1]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-92
|
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, -4, -3],\n [1, -3, -1, 3],\n [-2, 1, -1, -2],\n [1, -3, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
300
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 4, 4, 3],\n [4, 1, -4, 3],\n [0, 3, 0, 4],\n [-2, -4, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
836
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -1, 3, 2],\n [-2, 1, -1, 4],\n [0, 1, 4, 0],\n [-1, -3, -4, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
598
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 4, -2, -3],\n [0, 2, 2, -2],\n [3, -1, 1, 2],\n [-2, 3, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1181
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, -1, 2, -3],\n [2, 3, -1, -1],\n [-3, 4, -1, 0],\n [-1, -3, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4060
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[1, 3, 1, 2],\n [-4, -4, -2, 2],\n [-3, 0, 2, 1],\n [2, 1, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
16
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[3, 2, -2, -1],\n [2, -3, -1, -2],\n [-2, -1, -3, -2],\n [-1, -2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-36
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[0, 0, 4, 2],\n [2, 0, 2, 0],\n [-2, 2, -2, 4],\n [3, 3, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
20
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[0, 0, -2, 1],\n [-4, -3, 1, 3],\n [-4, -2, 3, 0],\n [1, 3, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-295
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 1, -4, -4],\n [4, 2, 2, -2],\n [1, 0, 4, 2],\n [-2, 4, -4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
530
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, -2, -2, -2],\n [-2, -1, 2, -1],\n [-2, 2, 1, -1],\n [-2, -1, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5560
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, 3, -1, -4],\n [-1, 2, -4, 3],\n [-2, -2, -3, 4],\n [3, -1, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3733
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 0, 4, -2],\n [0, 1, 0, 0],\n [4, 0, 1, 3],\n [-2, 0, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5694
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -3, -4, -1],\n [-1, -1, -4, -1],\n [3, 3, 0, 3],\n [-2, -4, 0, -1]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
68
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[-2, -2, -2, -1],\n [-2, 1, 2, -2],\n [-2, 2, 1, 0],\n [-1, -2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
65
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 2, -2, 0],\n [2, -1, 0, -2],\n [-2, 0, 4, 0],\n [0, -2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
138
|
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, 2, -2],\n [-2, -1, -2, -2],\n [2, -2, 3, 4],\n [-2, -2, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
14471
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, -3, 0, -3],\n [1, 3, -4, 2],\n [-2, -3, -2, 3],\n [0, -3, 3, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-227
|
MATH
|
[
{
"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[-4, -4, -2, 4],\n [-4, -1, 0, 1],\n [-2, 0, 2, 0],\n [4, 1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-96
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, -4, 0, -2],\n [-4, 0, 1, 3],\n [0, 1, -1, 2],\n [-2, 3, 2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
280
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, -3, -3, 4],\n [4, 2, -1, 2],\n [-3, 2, -3, -4],\n [-1, -4, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1596
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 0, 1, -2],\n [0, 4, 2, 0],\n [1, 2, -1, 4],\n [-2, 0, 4, -1]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
426
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -3, 3, -1],\n [4, -2, 2, 4],\n [-4, 3, 3, 0],\n [4, 2, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1108
|
MATH
|
[
{
"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[-2, -2, -4, -3],\n [-3, 0, 3, -3],\n [-3, -3, 1, 1],\n [-2, -3, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-59
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 3, 0, 4],\n [3, -4, 3, -1],\n [0, 3, -4, 2],\n [4, -1, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
44
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, -3, 0, 4],\n [-4, 0, 4, -2],\n [2, 0, -2, -2],\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"
}
] |
1784
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 2, 0, -2],\n [2, 2, 0, 2],\n [0, 0, 0, 3],\n [-2, 2, 3, 0]], determine the value at position (3, 2).\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, 2, -4, -4],\n [-3, -4, -1, 3],\n [-1, -1, 4, -2],\n [-4, -4, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1193
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -1, 0, 2],\n [-1, 2, 0, 3],\n [0, 0, 1, 2],\n [2, 3, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
701
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 1, -2, -2],\n [-4, -1, -4, 2],\n [-3, -3, 0, 0],\n [-4, -4, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3444
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, -3, 4, -1],\n [-1, -4, -3, 1],\n [-4, -1, 1, -2],\n [4, -2, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4206
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 2, 0, 2],\n [2, -3, 2, 0],\n [0, 2, -4, 0],\n [2, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4306
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -4, 2, 1],\n [-4, 1, 0, 2],\n [2, 0, 1, 2],\n [1, 2, 2, -2]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
113
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, -3, 2, -2],\n [2, -1, -1, -2],\n [0, -3, 2, 3],\n [-3, -4, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2850
|
MATH
|
[
{
"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[-1, 0, 3, 2],\n [3, 4, -1, -2],\n [3, -2, -2, -4],\n [-3, 1, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-40
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 1, 3, -2],\n [-1, -4, -3, -4],\n [1, 0, 3, -1],\n [-1, 3, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
53
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 2, -4, 3],\n [-4, 0, 4, -3],\n [4, 3, 0, -4],\n [0, 2, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
30
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 2, 0, 3],\n [2, -1, 0, 2],\n [0, 0, -1, 0],\n [3, 2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
387
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -4, -2, -1],\n [1, -4, 4, -2],\n [-4, -4, -4, 3],\n [3, 4, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
15437
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, -2, 4, 0],\n [-2, -4, 2, 2],\n [4, 2, -3, 1],\n [0, 2, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
21784
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 2, 4, 0],\n [-4, -4, 3, 4],\n [-1, -4, -4, 2],\n [-2, -3, 3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
947
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, -3, 4, 3],\n [-1, 1, 4, 0],\n [-4, 0, 1, 2],\n [0, 0, -2, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-119
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, -4, -1, -4],\n [2, -4, 2, 3],\n [-1, 0, 1, -1],\n [-2, -4, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
441
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, 4, -3, 4],\n [4, -1, 3, 0],\n [0, 0, -1, 2],\n [-4, -1, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1436
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 0, -4, 1],\n [0, 2, -2, 2],\n [-4, -2, -3, 1],\n [1, 2, 1, 2]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-40
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -2, -1, 0],\n [-2, 3, -1, -2],\n [-1, -1, -4, 0],\n [0, -2, 0, 1]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-37
|
MATH
|
[
{
"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[-1, -1, 0, 4],\n [-3, 4, 1, -4],\n [-4, -4, -1, 0],\n [0, 2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-2
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, -4, -3, 1],\n [-4, 2, -1, -1],\n [1, 4, 0, 1],\n [3, 3, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-134
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, -3, 0, -2],\n [-3, 2, 1, 1],\n [0, 1, 0, 4],\n [-2, 1, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1034
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 0, -4, -4],\n [1, 3, -1, 0],\n [-4, -4, 0, -1],\n [-2, -4, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1270
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, -1, -2, 0],\n [-1, -1, 2, 0],\n [-2, 2, 2, 2],\n [0, 0, 2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
624
|
MATH
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.