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 4th power of the matrix:\n[[2, -1, 3, 1],\n [-3, 0, 1, 3],\n [2, 2, 4, 1],\n [-1, 3, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3869
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 0, 0, -1],\n [0, 2, 0, 2],\n [0, 0, 1, 0],\n [-1, 2, 0, 4]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-14
|
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, -1, 0, 2],\n [0, 0, -1, -2],\n [0, 2, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
265
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -1, 4, 0],\n [-1, -2, -2, -2],\n [4, -2, 1, -2],\n [0, -2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1019
|
MATH
|
[
{
"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[-1, -1, 3, 1],\n [0, 0, 2, 4],\n [1, -3, -2, 1],\n [-3, -1, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
64
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[4, 2, 1, 3],\n [2, 3, 0, 2],\n [1, 0, 4, 0],\n [3, 2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
353
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, -2, -3, 3],\n [-1, -1, 4, 2],\n [1, 4, -4, -1],\n [3, 1, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2448
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 4, -4, -2],\n [0, -3, 3, 4],\n [3, 3, 3, -4],\n [0, -2, 3, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
30
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 1, 3, -4],\n [-1, -3, 2, 1],\n [2, -1, 4, 2],\n [4, -1, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5386
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 2) of the result:\nA =\n[[-3, -3, -3, -3],\n [4, -2, -4, 3],\n [-4, -2, 2, 2],\n [-1, 2, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
136
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, 2, 1, 1],\n [-1, 2, 0, 1],\n [-2, 2, -2, -1],\n [3, -2, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
945
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, -3, 1, 2],\n [-3, -3, 2, -1],\n [-4, 1, 3, 2],\n [3, -4, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4711
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -2, 4, 4],\n [-4, 0, 3, 3],\n [-1, 1, 3, -1],\n [4, -4, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
300
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -2, 2, -2],\n [-2, -4, 0, -2],\n [2, 0, 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"
}
] |
-520
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -3, 4, 3],\n [-2, 2, 0, -1],\n [4, -3, 1, 4],\n [-2, 1, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
368
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -3, 3, -3],\n [-2, -1, -4, -2],\n [0, 1, 3, 1],\n [2, 0, 2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
91
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, -2, 2, 0],\n [-2, -3, -2, 2],\n [2, -2, 3, 1],\n [0, 2, 1, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1047
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 2, 2, 4],\n [-3, 1, -4, -3],\n [-4, -4, -4, -2],\n [-1, -3, -4, -4]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-676
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, 2, 2, 4],\n [3, 4, -3, 0],\n [-4, 1, -1, -4],\n [-4, 1, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
812
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, -2, 4, -1],\n [-3, 0, -1, 2],\n [2, 4, 1, 2],\n [1, -2, 1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1457
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, 0, -4, -4],\n [-2, -1, -1, 4],\n [-3, 4, -3, -1],\n [0, 4, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7108
|
MATH
|
[
{
"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[4, 3, 1, -3],\n [0, -3, 3, 0],\n [1, 3, 1, 2],\n [4, -4, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-87
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -2, 0, 1],\n [-2, 4, -4, 0],\n [0, -4, 3, 4],\n [1, 0, 4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2213
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[4, 2, -2, -1],\n [2, 3, -1, -2],\n [-2, -1, -3, 0],\n [-1, -2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
116
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 0, 0, -2],\n [0, -3, 0, -2],\n [0, 0, 2, 0],\n [-2, -2, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
387
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 1, -3, 4],\n [2, -3, -1, -2],\n [4, 3, 0, -2],\n [3, 3, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
732
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, 1, 2, 3],\n [-3, 3, -2, -4],\n [3, 3, 4, -3],\n [0, 3, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-542
|
MATH
|
[
{
"content": "Find the value at position (3, 4) of the 3th power of the matrix:\n[[4, 0, 1, -4],\n [4, -1, 2, 3],\n [-1, -2, 1, -1],\n [4, 3, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
45
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -2, 0, 2],\n [-2, 0, 0, -2],\n [0, 0, -4, 0],\n [2, -2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
642
|
MATH
|
[
{
"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[-1, -2, 0, 0],\n [-4, 0, -1, 4],\n [-1, -1, -3, 2],\n [4, 1, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
154
|
MATH
|
[
{
"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[-4, -2, -1, 1],\n [-2, 4, 3, 4],\n [-1, 3, 1, 2],\n [1, 4, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
24
|
MATH
|
[
{
"content": "Find the value at position (2, 2) of the 4th power of the matrix:\n[[-3, 3, 0, 2],\n [3, -4, 2, -1],\n [0, 2, -3, 2],\n [2, -1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1941
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, -4, 1, 3],\n [-4, 4, 3, -4],\n [-3, 0, 1, -2],\n [-3, 2, 4, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
494
|
MATH
|
[
{
"content": "Find the value at position (4, 2) of the 3th power of the matrix:\n[[1, -3, -3, 0],\n [-2, 0, -1, 4],\n [-3, 3, 0, -3],\n [-1, -4, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
81
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -1, -1, 3],\n [2, 0, -1, 2],\n [3, 4, 4, 4],\n [0, 4, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3784
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 0, 1, 1],\n [0, 2, 2, 0],\n [1, 2, -2, -2],\n [1, 0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1116
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, -4, -3, 0],\n [0, -1, -2, 1],\n [-3, -1, -4, 0],\n [-2, 1, 1, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-449
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 0, 0, 0],\n [0, 1, 4, -1],\n [0, 4, 4, 0],\n [0, -1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
768
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 0, -3, 1],\n [3, -3, 0, -1],\n [1, -4, -2, 3],\n [4, -4, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6506
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 0, -2, 2],\n [0, -3, 2, -2],\n [-2, 2, 4, 0],\n [2, -2, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
28
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 1, -4, 2],\n [2, -4, 2, 0],\n [3, -1, -2, 4],\n [0, -1, -3, 4]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
28
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 4, -3, 1],\n [4, 3, 3, 3],\n [0, -4, 3, 1],\n [-4, 3, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1382
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 0, 0, 0],\n [0, -4, 1, 0],\n [0, 1, 0, 2],\n [0, 0, 2, -2]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
84
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 4, 2, -4],\n [-4, 3, 0, -2],\n [4, 1, -4, -1],\n [-3, 2, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
878
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 3, 3, -3],\n [4, 1, 1, 3],\n [-4, -1, -3, 4],\n [0, 3, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
832
|
MATH
|
[
{
"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[3, -3, 3, -2],\n [1, 2, -2, 3],\n [-4, -3, 2, 2],\n [-2, 2, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-129
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 3, -3, 2],\n [1, 0, -4, 3],\n [4, 0, -2, 2],\n [0, 3, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-234
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-2, 0, 0, -1],\n [0, -4, 0, 0],\n [0, 0, -1, 0],\n [-1, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -2, 0, -3],\n [-1, 1, 4, -1],\n [3, -1, -2, 1],\n [-4, 1, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-122
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 4, 1, -2],\n [4, -2, -1, -1],\n [1, -1, -3, -1],\n [-2, -1, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1207
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 4, -2, 1],\n [4, -3, 0, 0],\n [-2, 0, -4, 0],\n [1, 0, 0, -3]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-123
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 2, -4, 1],\n [-2, -2, 4, 4],\n [3, -3, 2, 2],\n [4, 4, 3, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5618
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 0, 0, 3],\n [0, 0, -1, 0],\n [0, -1, 3, 2],\n [3, 0, 2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
291
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 0, 0, -2],\n [0, 4, 2, -1],\n [0, 2, 1, 0],\n [-2, -1, 0, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
499
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 1, 2, -1],\n [2, -2, 4, -4],\n [0, -2, -2, -4],\n [-1, -1, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1969
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 0, 1, 0],\n [0, 1, -2, 2],\n [1, -2, 2, 2],\n [0, 2, 2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
13
|
MATH
|
[
{
"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[-4, 2, -2, -2],\n [2, -1, 2, 0],\n [-2, 2, -3, 1],\n [-2, 0, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
725
|
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, -3, 0],\n [0, -2, 0, 0],\n [-3, 0, -3, 0],\n [0, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
680
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -2, -3, 3],\n [-2, 0, 0, 2],\n [-3, 0, -1, -4],\n [3, 2, -4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-256
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 4, -3, 2],\n [-1, 4, -2, -2],\n [-3, 0, 0, -2],\n [-1, 4, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-475
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[-2, 2, -1, 0],\n [1, -2, 4, -1],\n [-4, 2, 0, -1],\n [4, 4, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-2
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 2, 0, 0],\n [2, -1, 0, 2],\n [0, 0, -3, 0],\n [0, 2, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
369
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 2, 3, 0],\n [-1, 4, -2, 1],\n [-4, 0, -2, 1],\n [-3, -1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-996
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 0, -2, -2],\n [0, 4, 0, 2],\n [-2, 0, 2, -1],\n [-2, 2, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
618
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, -4, -2, -1],\n [-4, -1, 4, 4],\n [0, 2, 0, 4],\n [3, 1, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4909
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 0, 3, 1],\n [1, -1, -1, -4],\n [-2, -2, 2, -1],\n [1, 1, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
201
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 2) of the result:\nA =\n[[0, -1, 0, 0],\n [-1, -2, 2, 1],\n [0, 2, -4, -3],\n [0, 1, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
354
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, 2, -3, 0],\n [2, 0, -2, 2],\n [-3, -2, -2, -2],\n [0, 2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3117
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[-4, 2, 3, 1],\n [-4, 0, 0, 0],\n [-1, 1, 0, 3],\n [-4, 2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-2
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 1) of the result:\nA =\n[[-3, 2, 3, -1],\n [1, 2, 0, -2],\n [-3, -3, -4, -2],\n [-1, 1, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
870
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 0, -1, 2],\n [0, -1, 0, 0],\n [-1, 0, -4, -2],\n [2, 0, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1526
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[2, -2, 2, 2],\n [-2, -4, -2, 4],\n [2, -2, -4, -2],\n [2, 4, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-80
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -2, 2, -2],\n [-2, -1, -2, 0],\n [2, -2, 4, -2],\n [-2, 0, -2, -1]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-58
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, -2, -2, -4],\n [-2, 2, 1, -2],\n [-4, -2, 3, -2],\n [3, 3, 4, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2684
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, -1, 4, 1],\n [1, 2, 2, -2],\n [-1, 0, -3, 0],\n [-2, 2, -4, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-26
|
MATH
|
[
{
"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[-4, 1, -1, -2],\n [1, 2, -2, 0],\n [-1, -2, 4, 2],\n [-2, 0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
581
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, -1, 4, -2],\n [4, 3, -3, 4],\n [3, -3, 0, 0],\n [-1, -4, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2236
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, 1, -2, 4],\n [1, -3, -2, -2],\n [-2, -2, -4, -3],\n [4, -2, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
17337
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, 0, 4, 4],\n [-2, -4, 2, -2],\n [4, -3, -4, 2],\n [-2, -4, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-2120
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 1) of the result:\nA =\n[[-3, 4, -2, 4],\n [-4, 4, 1, -2],\n [3, 4, 1, 0],\n [4, -4, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-509
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, -1, 0, -3],\n [0, -1, 4, 3],\n [-4, 2, 2, -2],\n [3, -1, 1, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2868
|
MATH
|
[
{
"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[2, -3, 1, 2],\n [3, -2, -3, -3],\n [-3, -1, 2, 2],\n [0, -1, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-15
|
MATH
|
[
{
"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[0, -2, 2, -2],\n [-2, 3, 2, 4],\n [2, 2, -4, 4],\n [-2, 4, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-152
|
MATH
|
[
{
"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[-1, 2, -1, -2],\n [2, -2, 4, -2],\n [-1, 4, 0, 0],\n [-2, -2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
104
|
MATH
|
[
{
"content": "What is the value at position (3, 2) of the matrix A^4 where A is:\n[[3, -2, 2, -2],\n [-2, -1, 2, 0],\n [2, 2, 1, 0],\n [-2, 0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-88
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 2, 2, -2],\n [2, 3, -3, 4],\n [2, -3, 0, -3],\n [-2, 4, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
408
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[2, 1, 0, 1],\n [1, -3, 0, 2],\n [0, 0, 3, 0],\n [1, 2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
62
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, -2, 2, -4],\n [-2, 2, 0, -1],\n [2, 0, 4, 0],\n [-4, -1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2674
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 2, 2, -1],\n [2, -4, 0, -2],\n [0, 0, 1, -3],\n [-2, 4, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
49
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, -2, 0, -4],\n [-2, 0, 1, -4],\n [0, 1, 1, -1],\n [-4, -4, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5436
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 1, 0, -1],\n [1, 1, 3, 0],\n [0, 3, -1, 0],\n [-1, 0, 0, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
175
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -3, 1, -4],\n [-1, -4, 0, -3],\n [3, -1, -2, -2],\n [-3, 3, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-141
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -1, 2, 0],\n [3, -3, -1, 0],\n [3, 4, 0, -4],\n [-4, -1, 3, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3108
|
MATH
|
[
{
"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[4, -4, 0, 3],\n [-4, 3, 0, -2],\n [0, 0, 2, 1],\n [3, -2, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-206
|
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, 1, 2],\n [2, -3, 4, -2],\n [0, -4, 0, 0],\n [-4, -2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2971
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 2, -2, 0],\n [2, 2, 0, -2],\n [-2, 0, 2, -3],\n [0, -2, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3394
|
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, 4, -1],\n [1, 1, 0, 3],\n [4, -4, -2, 1],\n [-1, 2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3309
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, -2, -1, -2],\n [-2, -1, 4, -4],\n [-2, 3, -2, 3],\n [4, 3, -1, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
716
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, -4, 1, 1],\n [-2, 0, 3, 4],\n [-4, 3, -1, -4],\n [2, -4, -1, 4]]?\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, 4, -4, -1],\n [-2, 4, 3, -1],\n [-1, 4, 1, -1],\n [-4, -4, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1848
|
MATH
|
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