messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 0, 0, -1],\n [1, 4, 1, 4],\n [-3, -4, -1, 3],\n [0, -1, 0, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
438
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 0, 3, -2],\n [0, -4, -1, -2],\n [3, -1, -1, -2],\n [-2, -2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2015
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -3, 2, 0],\n [-3, -3, 0, 0],\n [2, 0, 4, -2],\n [0, 0, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
892
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -4, -4, 4],\n [-1, 1, 0, -4],\n [-1, 1, -1, 1],\n [0, 1, -1, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
382
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[-2, -4, -4, 1],\n [-2, -3, 4, -1],\n [4, -2, 4, 4],\n [-2, 1, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
16
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 0, 1, 0],\n [0, -4, 4, 2],\n [1, 4, 3, 1],\n [0, 2, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
901
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, -2, -1, 0],\n [-2, 3, -1, 1],\n [-1, -1, 4, 2],\n [0, 1, 2, -4]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-89
|
MATH
|
[
{
"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[4, 4, -3, -3],\n [3, 3, 4, -4],\n [4, -3, 0, 4],\n [2, -1, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
413
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 2) of the result:\nA =\n[[-1, 0, -3, -2],\n [0, -4, -1, -2],\n [-3, -1, -2, -2],\n [-2, -2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
543
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, -1, 0, 2],\n [-1, 3, -2, 4],\n [0, -2, 2, 1],\n [2, 4, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8534
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 1, -3, -4],\n [4, -2, 1, 2],\n [-2, 2, -2, 0],\n [4, 0, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
752
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -4, -4, 2],\n [-3, 0, -3, -2],\n [-4, 2, 0, 0],\n [3, -4, -3, 2]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
360
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 0, -1, 2],\n [0, 3, 2, 2],\n [-1, 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"
}
] |
1154
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[-2, -1, 0, 0],\n [-1, -1, 0, -2],\n [0, 0, -2, 2],\n [0, -2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-64
|
MATH
|
[
{
"content": "Find the value at position (4, 2) of the 4th power of the matrix:\n[[-3, 1, 4, -4],\n [4, 1, 1, -3],\n [-1, 1, -1, -1],\n [4, 0, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-72
|
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, 0, 2],\n [3, -1, 0, -2],\n [0, 0, 0, -4],\n [2, -2, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1348
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 1, 2, 1],\n [1, -3, -2, 0],\n [2, -2, 3, 0],\n [1, 0, 0, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3178
|
MATH
|
[
{
"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[-4, 2, 0, 3],\n [2, -3, 0, 4],\n [0, 0, -4, -2],\n [3, 4, -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 sum of all entries of the result:\nA =\n[[4, 2, 1, -2],\n [2, -2, -3, -1],\n [1, -3, 0, 0],\n [-2, -1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1310
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, 3, -2, 3],\n [-2, -2, 3, -3],\n [-2, -4, -4, 1],\n [4, -3, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
610
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 0, 2, 2],\n [0, 4, -3, 2],\n [2, -3, -1, 1],\n [2, 2, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
131
|
MATH
|
[
{
"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[2, 0, 0, -2],\n [0, 1, -1, 0],\n [0, -1, -2, 0],\n [-2, 0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[-3, 0, -4, 2],\n [1, -2, 3, -3],\n [1, -1, 0, 1],\n [4, -4, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 0, 0, 0],\n [0, -4, -1, -1],\n [0, -1, -4, -4],\n [0, -1, -4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1052
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 1, -4, 2],\n [-3, -2, 1, -1],\n [0, 3, -1, 3],\n [1, 1, -3, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
130
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, -4, 1, -2],\n [1, -3, 2, -4],\n [1, -4, 0, -2],\n [-3, 2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
586
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[-2, -2, 1, 0],\n [-2, 3, 4, 0],\n [1, 4, -3, 1],\n [0, 0, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
45
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 4, -3, 2],\n [4, 1, 3, -2],\n [-3, 3, 1, 2],\n [2, -2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3006
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 2, 1, -3],\n [-1, -2, -3, 4],\n [-2, -3, 4, -3],\n [1, -3, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
692
|
MATH
|
[
{
"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[-2, 2, 0, 0],\n [2, -1, 0, 0],\n [0, 0, -4, -2],\n [0, 0, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
22
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -4, 2, 2],\n [1, 3, 3, 4],\n [-1, -1, 1, 1],\n [2, 4, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
12276
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 2, -3, -4],\n [-1, 4, -1, 1],\n [-4, 3, 1, 4],\n [-4, 3, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
424
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 0, -2, 0],\n [0, 1, 0, 2],\n [-2, 0, -2, 0],\n [0, 2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
161
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[-4, 2, 2, 0],\n [2, 1, 3, 0],\n [2, 3, 1, 2],\n [0, 0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
48
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 1, -1, -2],\n [-2, -3, 1, -1],\n [-1, 0, -1, 4],\n [-4, 2, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
221
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[2, 0, 2, -2],\n [0, 2, 4, 4],\n [2, 4, -1, -2],\n [-2, 4, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
164
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[-1, -4, 2, -2],\n [-1, -4, 0, -3],\n [-4, -3, 4, 3],\n [-3, 3, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
25
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -2, -3, 0],\n [3, 0, -3, -2],\n [-1, -4, -4, 1],\n [-3, 2, -2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
742
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -1, 1, -4],\n [4, 3, 3, 1],\n [-4, 3, 3, 0],\n [0, 4, -1, 0]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
220
|
MATH
|
[
{
"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[2, -2, -2, 2],\n [-2, -4, -1, -1],\n [-2, -1, 4, 2],\n [2, -1, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-48
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 3, 1, 0],\n [3, 4, -4, 1],\n [1, -4, -4, 0],\n [0, 1, 0, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9326
|
MATH
|
[
{
"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[1, 0, -3, -3],\n [-4, -4, 2, 0],\n [3, -3, 4, -3],\n [1, 4, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-668
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, 3, 0, -3],\n [4, 1, -3, 1],\n [4, -1, 4, 2],\n [3, -4, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
277
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, -4, 4, -2],\n [-3, 3, 4, -4],\n [3, -1, -1, -3],\n [2, -2, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
638
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, -1, -2, -4],\n [-1, -2, 2, 2],\n [-2, 2, 2, 0],\n [-4, 2, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4790
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 0, 2, 0],\n [-3, 0, -3, 1],\n [1, 2, -4, 0],\n [1, -2, 3, -1]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
168
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, -4, 3, 4],\n [-3, 4, 0, -4],\n [-4, -1, -4, 2],\n [1, 3, 2, -3]], determine the value at position (1, 1).\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, 0, 2, -3],\n [0, -3, -2, 3],\n [4, -1, -1, -3],\n [-3, -3, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
12812
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 0, -2, 0],\n [0, 3, -2, -3],\n [-2, -2, -2, -2],\n [0, -3, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-361
|
MATH
|
[
{
"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[-3, 1, 3, 1],\n [-3, -2, 4, -2],\n [2, -1, 0, 1],\n [1, -1, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 0, -2, -3],\n [0, 0, -2, 0],\n [-2, -2, 3, 0],\n [-3, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6777
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 4, 2, 0],\n [-3, -4, 3, -3],\n [-3, 0, -1, 4],\n [-2, 4, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-290
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 0, -1, 4],\n [4, 2, 0, 2],\n [-2, 4, -2, 2],\n [1, 0, -3, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
714
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, -4, -1, 2],\n [-2, 0, 3, -3],\n [-2, -3, 4, -3],\n [0, 3, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
250
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 2, -4, -2],\n [-4, -1, -3, 2],\n [-3, 4, -1, -4],\n [3, 2, -3, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
292
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 4, -3, 2],\n [-1, 3, 3, 4],\n [2, -4, 1, 0],\n [3, -1, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3544
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 3, 3, -4],\n [2, -3, 2, 4],\n [-2, -3, 1, -3],\n [-4, -3, 4, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1551
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[2, -2, 1, -4],\n [-2, -4, 0, -2],\n [1, 0, 4, 2],\n [-4, -2, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
45
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 0, -1, -1],\n [0, -4, 2, 1],\n [-1, 2, 4, -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"
}
] |
588
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, 1, 0, 2],\n [1, -3, 2, 0],\n [0, 2, -4, 0],\n [2, 0, 0, 0]]\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 (4, 1) of the result:\nA =\n[[-2, -3, -2, -4],\n [-3, -4, -1, 0],\n [-2, -1, 3, 1],\n [-4, 0, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-135
|
MATH
|
[
{
"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[4, -1, 2, 1],\n [2, 3, -1, -4],\n [4, 1, -2, 0],\n [-4, -4, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-348
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[1, -4, -4, 4],\n [-1, -1, 2, -4],\n [-2, -2, -2, -4],\n [3, 0, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
54
|
MATH
|
[
{
"content": "What is the value at position (2, 2) of the matrix A^4 where A is:\n[[1, 0, 2, 0],\n [0, 0, 0, 2],\n [2, 0, 0, 0],\n [0, 2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
52
|
MATH
|
[
{
"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[2, -2, -1, -3],\n [-3, 4, -1, 4],\n [4, -2, -2, 4],\n [1, -3, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-51
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 2, 2, -2],\n [2, -4, -1, 2],\n [2, -1, -3, 0],\n [-2, 2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1343
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 0, 2, -2],\n [0, 1, 0, -2],\n [2, 0, 0, 3],\n [-2, -2, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1366
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, -3, 1, 2],\n [-3, 0, -3, -2],\n [1, -3, -2, 0],\n [2, -2, 0, 3]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-732
|
MATH
|
[
{
"content": "What is the value at position (1, 1) of the matrix A^4 where A is:\n[[1, 1, 0, -2],\n [1, 4, -3, 2],\n [0, -3, 0, 2],\n [-2, 2, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
90
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 2, -1, 1],\n [2, -3, 0, 0],\n [-1, 0, 2, 2],\n [1, 0, 2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
137
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, 1, 2, 3],\n [1, -1, -2, 0],\n [-4, 3, 1, 2],\n [-2, 2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1227
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, 0, 0, -2],\n [0, 0, -2, -2],\n [0, -2, 2, -1],\n [-2, -2, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
230
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 3, 4, -4],\n [-1, -3, 2, -4],\n [1, 0, 3, -3],\n [-1, -4, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-382
|
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, 2, -4],\n [4, -1, 3, 2],\n [-1, -3, 3, -2],\n [-1, 1, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1291
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 0, 0, 4],\n [0, 3, 1, -1],\n [0, 1, -2, 0],\n [4, -1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2099
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, 1, -4, 1],\n [0, -1, -2, 1],\n [0, 2, -2, 3],\n [1, -1, -4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2056
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 4, -4, 3],\n [4, -1, -3, -1],\n [2, -3, 0, 0],\n [-4, 1, 4, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-16
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 1, 2, -4],\n [-3, -4, -4, 0],\n [-1, -3, 3, -4],\n [-4, -2, -1, 0]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
701
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 1, 0, 0],\n [1, -4, -4, 0],\n [0, -4, -4, -2],\n [0, 0, -2, 2]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
456
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 0, 2, -4],\n [1, 4, -2, 4],\n [-3, -3, 1, -2],\n [-3, 2, -4, -4]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
924
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 0, -2, 0],\n [0, -4, -2, -4],\n [-2, -2, 0, -1],\n [0, -4, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8338
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, 2, 4, -3],\n [-1, -2, 1, -4],\n [-1, -3, 3, 4],\n [-2, 1, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1321
|
MATH
|
[
{
"content": "What is the value at position (1, 4) of the matrix A^4 where A is:\n[[4, 1, -3, -2],\n [-1, -3, -4, 3],\n [-3, -4, 1, 3],\n [-3, -2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-686
|
MATH
|
[
{
"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[1, 0, 4, 2],\n [-4, 1, 4, -1],\n [3, 3, 3, -4],\n [0, 2, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-12
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, 2, 1, 2],\n [4, -2, 0, 4],\n [-4, -4, -1, 1],\n [-4, 0, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
296
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 4, -1, 2],\n [4, -1, -2, -2],\n [-1, -2, 0, -2],\n [2, -2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1491
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 1, -1, 1],\n [-2, -2, 3, -3],\n [-4, -3, 1, 0],\n [-3, -1, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-57
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, -3, 0, -2],\n [-3, -1, -1, 0],\n [0, -1, 0, -2],\n [-2, 0, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4731
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 4, -2, 0],\n [2, 0, -1, -2],\n [-3, 1, 2, -1],\n [4, 4, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
39
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[1, 4, -4, -3],\n [3, 1, -2, -4],\n [3, -3, 2, 0],\n [-4, -1, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
107
|
MATH
|
[
{
"content": "What is the value at position (1, 1) of the matrix A^4 where A is:\n[[-1, 2, 0, -2],\n [2, 4, 0, 0],\n [0, 0, 2, 0],\n [-2, 0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
133
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, -4, 2, -4],\n [-4, 1, -2, 4],\n [-2, -4, -1, 4],\n [-4, -4, 0, -2]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-66
|
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, -2],\n [-2, 2, 2, 4],\n [0, 2, -1, 2],\n [-2, 4, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
13106
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 2, 4, 0],\n [2, 1, 0, -4],\n [4, 0, -4, 2],\n [0, -4, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8818
|
MATH
|
[
{
"content": "What is the value at position (3, 4) of the matrix A^3 where A is:\n[[4, 0, 0, -4],\n [0, 2, 0, -2],\n [0, 0, 1, 2],\n [-4, -2, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
74
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 2, 1, -1],\n [2, 0, 0, -2],\n [1, 0, 4, 2],\n [-1, -2, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
924
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, -2, 3, -1],\n [-2, -4, 0, 1],\n [3, 0, 3, 2],\n [-1, 1, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2266
|
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, 1, 0],\n [2, 2, 0, 0],\n [1, 0, 3, 0],\n [0, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1297
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 0, -4, -2],\n [0, 2, 0, 2],\n [-4, 0, 3, 1],\n [-2, 2, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
856
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, -2, 0, 2],\n [-2, -2, -3, -2],\n [0, -3, 4, 3],\n [2, -2, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3685
|
MATH
|
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