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[[-3, 0, 0, -3],\n [4, 0, 0, 1],\n [-4, 0, 2, -2],\n [1, -1, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
435
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 0, 0, -3],\n [-2, -3, 3, 3],\n [1, 1, 2, 1],\n [2, -4, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
716
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 4, 0, -1],\n [4, 2, 1, -2],\n [1, -3, -3, -1],\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"
}
] |
790
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, 3, 1, 4],\n [0, -1, 2, -3],\n [2, 3, 3, 1],\n [-2, -1, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1870
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 0, -1, -2],\n [0, -4, -3, 1],\n [-1, -3, -1, -2],\n [-2, 1, -2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-661
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 1, 0, -2],\n [1, 3, 2, -2],\n [0, 2, 0, 0],\n [-2, -2, 0, -4]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
16
|
MATH
|
[
{
"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[-4, 4, -3, -2],\n [2, 3, 4, 2],\n [2, -3, 3, -1],\n [-1, 4, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
596
|
MATH
|
[
{
"content": "Find the value at position (2, 3) of the 4th power of the matrix:\n[[-1, 2, 0, -2],\n [2, -2, 4, 4],\n [0, 3, 2, 2],\n [-3, -2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-208
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, -2, 2, 0],\n [-2, 1, 3, -4],\n [2, 3, -3, 3],\n [0, -4, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1223
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, -3, 1, 0],\n [3, 3, 3, -3],\n [-3, -4, 4, -3],\n [-1, 4, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1070
|
MATH
|
[
{
"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[1, 3, 0, 4],\n [-4, -3, -2, -1],\n [-3, 1, 2, 2],\n [3, 3, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-24
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 0, -2, 0],\n [0, -4, 2, -2],\n [-2, 2, -1, -3],\n [0, -2, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2424
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, -4, 0, 0],\n [-4, 1, 3, 1],\n [0, 3, 3, 0],\n [0, 1, 0, 4]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
339
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, -1, -3, 0],\n [1, 1, 4, 0],\n [1, -2, -2, 1],\n [1, -4, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-8
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 0, 1, -2],\n [0, -4, 0, -2],\n [1, 0, -1, 2],\n [-2, -2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3485
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, -2, 0, 1],\n [-2, -2, -4, 0],\n [0, -4, -2, 1],\n [1, 0, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3341
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, -1, -2, 1],\n [3, -4, -3, 0],\n [1, -2, 0, 3],\n [-2, 4, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-58
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, -1, 2, 2],\n [-1, 4, -1, 2],\n [2, -1, 2, -1],\n [2, 2, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
441
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 0, -3, -1],\n [-4, 2, 2, 0],\n [-3, -2, -2, -1],\n [-2, 4, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2369
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 1, 2, -1],\n [4, -3, 1, 4],\n [0, 4, 0, 1],\n [-4, -2, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-762
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -4, 3, 4],\n [-2, 0, 3, -1],\n [-2, -2, 2, -2],\n [-3, -2, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
828
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, -1, 0, -2],\n [-1, -4, 0, 0],\n [0, 0, -2, -3],\n [-2, 0, -3, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6155
|
MATH
|
[
{
"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[1, -3, -2, 4],\n [-4, 3, -4, -2],\n [2, -2, 1, 1],\n [1, 1, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-616
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 4, -4, -2],\n [-1, 4, -2, -1],\n [2, -2, -3, 4],\n [3, -4, -4, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1046
|
MATH
|
[
{
"content": "Find the value at position (2, 2) of the 4th power of the matrix:\n[[0, -3, -4, -1],\n [3, -4, -4, 1],\n [1, -2, -4, 2],\n [-2, 3, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
448
|
MATH
|
[
{
"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[0, -1, 1, -1],\n [-1, 2, 2, 4],\n [4, 3, -1, 0],\n [3, 4, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-11
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 0, -1, 4],\n [2, -4, 2, -2],\n [2, 1, -3, 2],\n [4, -2, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1580
|
MATH
|
[
{
"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[3, -2, -4, -1],\n [0, -3, 4, -4],\n [-1, -1, -2, 3],\n [1, 4, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
828
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 2, 2, 2],\n [2, 3, 2, 2],\n [2, 2, 1, 2],\n [2, 2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
19983
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, -4, 4, -1],\n [-2, -2, -2, 3],\n [1, -3, 0, 1],\n [0, -3, 2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
758
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 4, -3, 1],\n [2, -2, -1, 1],\n [-3, 2, 4, 3],\n [2, 1, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1012
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, -2, 0, -3],\n [-2, 1, -4, -2],\n [0, -4, 1, 0],\n [-3, -2, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1096
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -3, 2, 1],\n [-1, 2, 4, 2],\n [-2, 0, 0, -3],\n [3, 2, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4716
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, -3, 4, 1],\n [2, -3, 1, -2],\n [-4, -1, 2, 4],\n [1, 2, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
260
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 1) of the result:\nA =\n[[-1, -2, -2, -2],\n [-2, -3, 2, 1],\n [-2, 2, 4, 2],\n [-2, 1, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-82
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, -2, 4, 0],\n [-2, -3, 2, -2],\n [4, 2, -4, -4],\n [0, -2, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2778
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, -2, 2, 4],\n [-2, 4, 0, 2],\n [2, 0, -2, -4],\n [4, 2, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2357
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[3, -2, -3, 0],\n [3, 3, 2, 4],\n [-4, 2, 2, -3],\n [-1, -4, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-61
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -3, 1, 0],\n [4, 3, 0, -1],\n [-1, -4, 4, -1],\n [-2, 4, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-160
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 1) of the result:\nA =\n[[4, -2, 0, 1],\n [-2, 0, 3, -2],\n [0, 3, 0, 2],\n [1, -2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-116
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, -4, -3, 0],\n [4, 3, -1, -1],\n [-2, 2, -1, 0],\n [-3, 1, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1183
|
MATH
|
[
{
"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[2, 2, 0, -1],\n [2, -2, 2, 1],\n [0, 2, 3, 1],\n [-1, 1, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
86
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, -4, -2, -3],\n [1, -1, 4, 0],\n [4, -4, -4, -4],\n [-3, 3, 3, 3]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-120
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, -2, -3, -3],\n [-2, 3, 4, 1],\n [-3, 4, 3, -1],\n [-3, 1, -1, -1]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-2356
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 0, 2, 2],\n [1, 2, 2, 4],\n [1, 2, 3, 1],\n [-2, 0, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
652
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 0, 3, -2],\n [0, 4, 0, 0],\n [3, 0, 2, -2],\n [-2, 0, -2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
930
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, 1, -3, -3],\n [-1, -3, 3, -4],\n [2, 1, 2, 1],\n [1, -2, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2576
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 0, -2, 0],\n [0, -2, 2, 0],\n [-2, 2, 4, -3],\n [0, 0, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
418
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, -3, -2, -2],\n [-3, -2, 0, 0],\n [-2, 0, 0, 1],\n [-2, 0, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5323
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 1, 0, 4],\n [0, -3, 1, 0],\n [-4, 4, -2, 0],\n [-3, -4, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
373
|
MATH
|
[
{
"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[-3, -4, -1, -4],\n [2, -1, 0, -2],\n [2, -4, -4, 3],\n [-4, -1, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
511
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, -2, 0, 0],\n [-2, 3, 0, 0],\n [0, 0, 4, 0],\n [0, 0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
354
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 4, 2, -2],\n [4, 4, -2, 0],\n [2, -2, -3, 1],\n [-2, 0, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5762
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -1, 3, -2],\n [-2, -3, 4, -4],\n [3, 3, -3, -1],\n [-3, -1, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
22344
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, -1, -2, -2],\n [-1, -3, 0, -4],\n [-2, 0, 1, -4],\n [-2, -4, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-2466
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 0, 0, -2],\n [0, 1, 3, 2],\n [0, 3, 2, 0],\n [-2, 2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2251
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, 0, 0, 0],\n [0, 2, 0, 0],\n [0, 0, -4, -2],\n [0, 0, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
726
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 4, 0, 0],\n [4, 1, 1, 3],\n [0, 1, -3, 2],\n [0, 3, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1420
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[1, 1, 2, 1],\n [1, -4, 0, 0],\n [2, 0, 0, -1],\n [1, 0, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -3, -4, 2],\n [-2, -1, 4, -2],\n [4, -2, 0, -1],\n [-2, -3, 1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
801
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, -3, -3, -2],\n [4, 0, 2, -1],\n [-1, 3, 0, 2],\n [3, 0, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2178
|
MATH
|
[
{
"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[-3, -3, 0, -2],\n [0, 1, -3, -1],\n [-4, -2, -2, 3],\n [-1, -2, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-58
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, -2, -1, 2],\n [-3, 4, 4, 1],\n [0, 1, -2, 3],\n [-3, -3, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-158
|
MATH
|
[
{
"content": "Find the value at position (2, 1) of the 4th power of the matrix:\n[[-1, -2, 4, -1],\n [-2, -1, 1, 0],\n [4, 1, 0, -2],\n [-1, 0, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
260
|
MATH
|
[
{
"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[3, 2, -4, -1],\n [2, -2, 3, -3],\n [-3, 3, 3, -1],\n [-3, 1, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-101
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, -2, 0, -2],\n [-2, 2, -1, -2],\n [0, -1, 2, 1],\n [-2, -2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1486
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -2, -2, 2],\n [3, 2, -1, -1],\n [3, -4, 3, 2],\n [4, -2, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
646
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 0, -2, 3],\n [0, -2, -2, 1],\n [-2, -2, 3, 3],\n [3, 1, 3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
908
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, -2, 0, 2],\n [-2, 4, 1, 0],\n [0, 1, 0, 0],\n [2, 0, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3118
|
MATH
|
[
{
"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[0, 4, 0, -4],\n [-3, 4, -1, -2],\n [-4, 4, -3, 1],\n [-3, 3, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, -4, 3, 0],\n [2, -3, 2, 3],\n [-4, 4, -1, 0],\n [1, 4, -4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1040
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[0, -4, 4, 0],\n [1, 3, 1, 1],\n [2, 2, -2, -4],\n [3, -3, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
32
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, -1, -2, 0],\n [-1, 1, 0, 2],\n [-2, 0, 3, 0],\n [0, 2, 0, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
19
|
MATH
|
[
{
"content": "Find the value at position (2, 4) of the 3th power of the matrix:\n[[-3, 0, 0, -4],\n [0, -4, 2, -2],\n [0, 2, -3, 2],\n [-4, -2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-98
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, -2, -2, 3],\n [-1, 4, 2, 3],\n [-2, -3, -4, 0],\n [2, 1, 0, -3]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
204
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 0, 2, 4],\n [0, 0, -1, 0],\n [2, -1, 1, -4],\n [4, 0, -4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-203
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, -2, 2, 0],\n [4, 0, 1, -4],\n [1, -1, -1, -4],\n [-4, 3, -4, -3]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-4
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 3, 4, 3],\n [1, -4, -3, 1],\n [-2, 3, 0, 4],\n [-3, -4, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-194
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -2, 0, -2],\n [-2, -3, 0, 0],\n [0, 0, -1, -2],\n [-2, 0, -2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2580
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, -1, 4, 0],\n [-1, -1, 0, -3],\n [4, 0, -3, 2],\n [0, -3, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
142
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[3, 0, -3, -2],\n [0, -1, 0, 2],\n [-3, 0, -2, 0],\n [-2, 2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
214
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, 2, 2, 0],\n [2, -1, -2, -3],\n [2, -2, -1, 1],\n [0, -3, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2740
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, -4, 2, -4],\n [-4, -2, 4, 3],\n [3, -3, 0, 0],\n [-3, 4, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-141
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -1, 0, -2],\n [-1, 0, 0, 0],\n [0, 0, 0, 0],\n [-2, 0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9
|
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, 4, -4],\n [2, -4, 0, 2],\n [3, -3, 0, 1],\n [4, 4, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10684
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 4) of the result:\nA =\n[[-4, -1, 0, -4],\n [-4, 0, 3, -3],\n [0, -1, 2, -3],\n [-2, -2, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-152
|
MATH
|
[
{
"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[4, 0, -1, 0],\n [0, 1, 2, 0],\n [-1, 2, -2, 3],\n [0, 0, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
341
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 2, 4, 3],\n [-4, 3, 2, 4],\n [0, 0, 4, 2],\n [1, -2, 4, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1379
|
MATH
|
[
{
"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[-2, 1, 0, 2],\n [1, 4, 0, 0],\n [0, 0, 1, -2],\n [2, 0, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
16
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, -2, 2, -1],\n [1, 4, -3, -1],\n [0, -2, 1, -4],\n [-3, 4, 0, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
36
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 3, 3, 0],\n [-1, -4, 3, -2],\n [4, -2, -3, -2],\n [3, -2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1082
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, -3, 0, -1],\n [-3, 0, 1, 2],\n [0, 1, -4, -3],\n [-1, 2, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-411
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -3, 1, -4],\n [2, 2, 0, 3],\n [-3, -4, -1, -3],\n [0, 2, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
196
|
MATH
|
[
{
"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[3, 2, 0, 2],\n [2, 2, 2, -1],\n [0, 2, -3, 0],\n [2, -1, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
96
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -3, -4, -3],\n [-2, 2, 1, -4],\n [-2, 4, -1, -4],\n [-4, -3, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-457
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -2, -2, -2],\n [-2, 2, -4, 4],\n [-2, -4, 2, 2],\n [-2, 4, 2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1240
|
MATH
|
[
{
"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[1, -1, 4, -2],\n [-1, -4, 2, 2],\n [4, 2, 3, 0],\n [-2, 2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-18
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, -1, -2, 0],\n [-1, -3, 0, 2],\n [-2, 0, -4, 0],\n [0, 2, 0, -2]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-62
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, -2, -3, 3],\n [-2, -1, 0, 4],\n [2, -4, 3, -2],\n [1, 3, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4318
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 3, 1, 3],\n [-3, -2, -2, 4],\n [0, -4, 2, -4],\n [-3, -1, 4, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
456
|
MATH
|
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