messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, -4, 1, -4],\n [2, -1, 4, -3],\n [-4, 0, -1, 1],\n [0, 2, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2648
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 4, 2, -4],\n [4, 1, 0, -4],\n [2, 0, -3, 0],\n [-4, -4, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
254
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[-2, 1, -2, 2],\n [1, 0, 0, 0],\n [-2, 0, 0, -2],\n [2, 0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-18
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 1) of the result:\nA =\n[[-2, -2, 1, -2],\n [-2, 4, -4, -2],\n [1, -4, 4, 1],\n [-2, -2, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-21
|
MATH
|
[
{
"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[-2, 1, 1, -3],\n [1, 1, 3, 4],\n [0, -1, 1, -3],\n [3, 0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-10
|
MATH
|
[
{
"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[-4, 3, 3, 0],\n [3, 2, -2, -1],\n [3, -2, -2, -2],\n [0, -1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-100
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 4, 0, 1],\n [-3, 2, -3, 4],\n [3, 3, -2, 3],\n [-1, -2, 3, -1]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
193
|
MATH
|
[
{
"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[-2, -1, 0, -2],\n [-1, 1, 0, 0],\n [0, 0, 2, 0],\n [-2, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-8
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, -2, 0, 2],\n [-2, 2, -2, 2],\n [0, -2, 3, 0],\n [2, 2, 0, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
19
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[-3, -2, -3, -1],\n [-3, -1, -1, 3],\n [1, 2, -1, 1],\n [1, 2, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
267
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 4, -2, -4],\n [2, 4, 1, -1],\n [-2, 0, 0, -2],\n [4, 2, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
256
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 0, 0, 0],\n [0, 2, 0, 0],\n [0, 0, -3, 0],\n [0, 0, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
99
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, -4, 0, 4],\n [-4, -4, 0, 0],\n [0, 0, -1, 4],\n [4, 0, 4, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2033
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 0, 0, 2],\n [0, -2, 2, 2],\n [0, 2, -4, 0],\n [2, 2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
13
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, 2, 4, -1],\n [2, 4, -4, 4],\n [3, -4, -3, -4],\n [-1, 4, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3139
|
MATH
|
[
{
"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[0, -4, -3, 2],\n [0, 4, 3, -2],\n [-3, -4, 2, 0],\n [4, -4, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-76
|
MATH
|
[
{
"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[-3, 4, -4, -2],\n [4, 0, -4, 2],\n [-1, -1, -3, -1],\n [-2, 3, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
172
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[1, 2, 4, -3],\n [-2, 4, -4, -3],\n [-4, -4, 4, 1],\n [-3, -1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-46
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 3, 3, -1],\n [-2, 3, -4, 2],\n [3, 0, -1, 1],\n [-4, 0, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
988
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, -1, 2, 0],\n [-1, 3, -1, 4],\n [2, -1, 3, -1],\n [0, 4, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
890
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, 4, 1, -1],\n [0, 1, 0, 2],\n [4, -1, -2, 1],\n [3, 4, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
83
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 0, 0, 2],\n [0, 0, 4, 0],\n [0, 4, -1, -4],\n [2, 0, -4, -3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
132
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 2, -4, 4],\n [0, -3, 1, 1],\n [2, 3, -1, 4],\n [2, 2, 3, 1]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
166
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, 1, 1, 0],\n [1, -4, -4, -1],\n [1, -4, -4, 0],\n [0, -1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7330
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -2, 0, -2],\n [-2, 1, 2, 2],\n [0, 2, -4, 2],\n [-2, 2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
204
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 1, 4, -3],\n [-3, -1, -3, -1],\n [-3, 1, -2, 0],\n [2, -1, 3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3748
|
MATH
|
[
{
"content": "Find the value at position (4, 4) of the 3th power of the matrix:\n[[4, 2, -4, 4],\n [1, 3, 2, -2],\n [4, 2, -4, 1],\n [4, 2, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
56
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 2, 0, -1],\n [2, 3, 0, 2],\n [0, 0, 2, -3],\n [-1, 2, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2622
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 0, -2, 2],\n [0, 0, -4, 0],\n [-2, -4, 4, 0],\n [2, 0, 0, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5958
|
MATH
|
[
{
"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[3, 2, -4, 3],\n [4, 4, -4, 2],\n [-1, -1, 2, 3],\n [4, 1, -4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
239
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 4, -2, -4],\n [1, 2, -4, 0],\n [0, -4, 2, -2],\n [1, 4, -4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
785
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 1, 3, -2],\n [1, 3, 0, 0],\n [3, 0, 0, 0],\n [-2, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1719
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[2, -1, 0, -4],\n [-1, 2, 4, 3],\n [0, 4, 4, 0],\n [-4, 3, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1600
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 3, 2, -2],\n [-1, -1, 4, -4],\n [0, -4, 2, 0],\n [-2, -1, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2528
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 2, 0, -2],\n [2, 3, 4, 3],\n [-3, -2, 3, -1],\n [-1, 2, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4311
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 2, 2, 2],\n [1, 2, 2, -1],\n [-4, 2, 3, -4],\n [-4, -1, 0, -1]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-58
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 0, 0, 4],\n [0, -2, 0, 0],\n [0, 0, -3, 0],\n [4, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
299
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, -4, 0, -1],\n [4, 0, 2, 1],\n [-1, -2, 3, 1],\n [4, 4, 0, 0]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-162
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, 0, 0, 2],\n [0, -1, 0, -4],\n [0, 0, -4, -2],\n [2, -4, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2423
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 0, 0, -4],\n [0, 0, -1, 1],\n [0, -1, 4, -2],\n [-4, 1, -2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6244
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -2, 3, -4],\n [-3, 3, -4, -4],\n [-3, 1, 2, -3],\n [3, -4, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11824
|
MATH
|
[
{
"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[-4, 3, 0, 0],\n [0, -3, 2, -2],\n [-1, -1, 3, -3],\n [-1, 1, -3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
36
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, 0, -2, 2],\n [0, -1, 2, 2],\n [-2, 2, 3, 0],\n [2, 2, 0, 2]]?\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 3th power of the matrix:\n[[2, -1, 4, -2],\n [-1, -4, 0, 1],\n [4, 0, -1, -3],\n [-2, 1, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1154
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 0, 3, 1],\n [0, 3, -2, -2],\n [3, -2, 3, -2],\n [1, -2, -2, 2]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-70
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 3, 4, 4],\n [-2, 2, 1, 1],\n [0, -1, 0, -2],\n [3, 2, -3, -4]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-14
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[2, 2, 0, -4],\n [2, 0, 0, -2],\n [0, 0, -1, -2],\n [-4, -2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-400
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 0, 4, 3],\n [-4, -2, 3, 2],\n [2, -3, -3, -3],\n [1, 1, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4544
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, -2, 3, -2],\n [-2, -2, -2, 2],\n [3, -2, -3, 0],\n [-2, 2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
261
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 2, 2, -3],\n [2, -3, 0, -2],\n [2, 0, -1, 0],\n [-3, -2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
359
|
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, 1, -4],\n [1, 2, 2, 2],\n [2, -1, 0, -4],\n [2, 0, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
475
|
MATH
|
[
{
"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[0, 0, 2, 0],\n [0, 4, 2, -4],\n [2, 1, -1, 3],\n [1, 0, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2
|
MATH
|
[
{
"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[2, 0, -3, -2],\n [0, -3, -1, 2],\n [-3, -1, -4, 2],\n [-2, 2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-442
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 3, 2, 1],\n [3, 0, 3, 4],\n [2, 3, 2, 3],\n [1, 4, 3, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
21738
|
MATH
|
[
{
"content": "What is the value at position (4, 3) of the matrix A^4 where A is:\n[[-4, 1, -3, -1],\n [-4, -4, 0, -1],\n [2, -2, 4, 3],\n [-4, 2, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 2, 2, 1],\n [2, 0, 2, -1],\n [2, 2, -1, -3],\n [1, -1, -3, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
704
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 4, -2, 2],\n [0, -4, 0, 1],\n [3, 4, 0, -3],\n [-4, 0, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1276
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[-2, -4, 3, 1],\n [-2, -2, -2, 0],\n [-2, -4, 2, -1],\n [4, 1, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
71
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, -2, 2, 0],\n [-2, -3, 2, 2],\n [2, 2, 3, -2],\n [0, 2, -2, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
803
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 0, 2, -2],\n [0, 4, -3, 2],\n [2, -3, 4, -2],\n [-2, 2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 3, 2, 4],\n [4, -3, 1, -2],\n [-4, 0, -4, 3],\n [-1, -1, -3, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
263
|
MATH
|
[
{
"content": "Find the value at position (4, 2) of the 4th power of the matrix:\n[[1, -1, -2, 1],\n [0, -1, 0, 3],\n [0, -3, -4, 1],\n [1, 3, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
427
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 2, -4, -2],\n [2, 1, 2, 1],\n [-4, 2, 3, -1],\n [-2, 1, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4545
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 4, 3, -3],\n [4, 1, 0, -2],\n [3, 0, -3, 4],\n [-3, -2, 4, 4]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-289
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 4, 4, 0],\n [4, -4, -3, 3],\n [4, -3, 2, -2],\n [0, 3, -2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3764
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 1, 2, 2],\n [1, -2, 0, 2],\n [2, 0, -4, 0],\n [2, 2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
703
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, -1, -1, -2],\n [-1, -2, -2, -1],\n [-1, -2, 1, 0],\n [-2, -1, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-333
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 2, -3, -3],\n [-3, -4, 2, -1],\n [0, -2, 0, 4],\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"
}
] |
3418
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 4, 0, 2],\n [4, -1, -3, -4],\n [2, -4, -2, 1],\n [3, -4, 3, 1]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-960
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -4, 4, 4],\n [4, -1, 4, 0],\n [-2, -4, 4, 0],\n [4, 1, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1179
|
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, -2, 0],\n [2, 4, 2, -2],\n [-2, 2, -4, 0],\n [0, -2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
857
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 0, 1, 0],\n [2, -4, 0, 1],\n [2, -3, 4, -3],\n [0, -1, -4, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
46
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 3, 4, -2],\n [0, -4, -4, 0],\n [3, 4, -1, -4],\n [-3, 3, -3, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1942
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 1) of the result:\nA =\n[[3, 3, -2, 4],\n [-4, 0, 0, -3],\n [0, -4, -1, 3],\n [1, -4, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-496
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 0, 0, -2],\n [0, -4, -2, 0],\n [0, -2, 2, -2],\n [-2, 0, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
889
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, -2, 2, 2],\n [-2, 2, 0, -2],\n [2, 0, -3, 1],\n [2, -2, 1, -1]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
36
|
MATH
|
[
{
"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[3, -2, -2, -2],\n [4, -1, -2, 1],\n [-4, 0, -3, 2],\n [-1, -3, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-51
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, -3, -3, 4],\n [-3, -4, -3, -3],\n [2, -2, 3, -4],\n [-3, 2, -1, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4408
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 0, 0, 0],\n [0, 4, -2, 0],\n [0, -2, -3, 1],\n [0, 0, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 2, 0, -1],\n [-4, 0, 1, -1],\n [2, 3, 4, -3],\n [0, -1, -3, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
150
|
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, -1, 0],\n [2, 0, 0, 2],\n [-1, 0, -4, -1],\n [0, 2, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
610
|
MATH
|
[
{
"content": "Find the value at position (2, 3) of the 4th power of the matrix:\n[[-1, 0, 0, 4],\n [0, -3, -1, 0],\n [0, -1, -3, 0],\n [4, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
120
|
MATH
|
[
{
"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[1, -2, 1, -4],\n [2, 2, 3, 1],\n [-1, -2, -1, 1],\n [4, -4, -4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-236
|
MATH
|
[
{
"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[-1, 0, -4, 3],\n [0, -1, 2, 0],\n [-4, 2, 0, -1],\n [3, 0, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-87
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 2, 1, 1],\n [2, 0, 4, -1],\n [1, 4, 4, 0],\n [1, -1, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1064
|
MATH
|
[
{
"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[4, -1, 0, -2],\n [1, -1, 0, 3],\n [4, 2, -4, -3],\n [-4, 1, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-128
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 2, 4, 2],\n [2, -2, 0, 0],\n [4, 0, -2, 0],\n [2, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
776
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 3, 2, -3],\n [2, 0, 3, -1],\n [-1, 0, 0, -3],\n [2, -4, 2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
181
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, 0, -1, -2],\n [0, -1, 3, 2],\n [-1, 3, 3, -2],\n [-2, 2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2567
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, 4, -1, 1],\n [4, -1, 0, 3],\n [1, 1, -2, -3],\n [-2, 0, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3994
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[2, 0, -1, 2],\n [0, -4, 3, -3],\n [-1, 3, -1, 1],\n [2, -3, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-30
|
MATH
|
[
{
"content": "Find the value at position (2, 4) of the 3th power of the matrix:\n[[2, 0, 0, -2],\n [0, 4, 2, 0],\n [0, 2, 1, 3],\n [-2, 0, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
30
|
MATH
|
[
{
"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[-1, 4, -1, -4],\n [-2, 4, 3, -2],\n [-4, 3, -4, -1],\n [-3, 2, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-69
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 0, -3, 3],\n [0, 3, 0, 0],\n [-3, 0, -3, -2],\n [3, 0, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
677
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, 2, -3, -2],\n [-1, 4, -2, -3],\n [1, 4, 4, 1],\n [3, -3, 4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6520
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 0, 0, 0],\n [0, 2, 2, 0],\n [0, 2, -1, 0],\n [0, 0, 0, 0]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
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 [2, 0, -1, 1],\n [2, -3, -2, -3],\n [2, 4, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
646
|
MATH
|
[
{
"content": "What is the value at position (4, 4) of the matrix A^3 where A is:\n[[-3, -3, 0, 0],\n [1, -3, 4, 4],\n [0, 1, -4, 3],\n [-1, -1, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
60
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, 1, 3, 3],\n [3, -2, 2, -4],\n [-2, 0, -4, -3],\n [-2, -1, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2333
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 2, 2, 2],\n [2, -2, -2, -3],\n [2, -2, -3, -2],\n [2, -3, -2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
24780
|
MATH
|
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