messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, 2, 0],\n [0, -2, -3, 1],\n [2, -3, -2, -4],\n [0, 1, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5236
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 3, 0, -2],\n [-4, -2, 1, -4],\n [3, -2, 4, 3],\n [-1, -3, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3496
|
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, -2],\n [0, 4, 3, -4],\n [0, 3, -4, 3],\n [-2, -4, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1737
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, -2, -2, 3],\n [-2, -3, 2, -2],\n [-2, 2, -1, 0],\n [3, -2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2732
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 2) of the result:\nA =\n[[0, 0, 1, -4],\n [-2, -4, -4, -3],\n [-1, -2, 0, 4],\n [0, 4, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-330
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -4, 2, 1],\n [1, 4, -2, 2],\n [0, -1, 2, -1],\n [-2, -4, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
506
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 1, 2, 2],\n [4, 4, 0, 3],\n [2, 0, 0, -4],\n [4, 4, 2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11721
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 0, 4, 2],\n [0, -1, -1, 0],\n [4, -1, -2, 2],\n [2, 0, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
915
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 0, -4, 3],\n [-4, -4, -3, -2],\n [-2, -2, -4, -1],\n [2, -2, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1915
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, -4, -4, 2],\n [-2, 3, 1, -4],\n [1, 4, -1, -4],\n [4, -3, 0, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
432
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 4, -1, -2],\n [4, -1, -1, 2],\n [-1, -1, 0, 2],\n [-2, 2, 2, 0]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-92
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -1, 0, -2],\n [-1, 0, 0, 4],\n [0, 0, -4, -2],\n [-2, 4, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
894
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, -2, 4, 2],\n [-3, 4, 2, -2],\n [2, 0, -3, 3],\n [-1, -1, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
34
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 3, 4, 2],\n [3, 4, -1, 4],\n [4, -1, -4, 0],\n [2, 4, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1756
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, 0, 0, -1],\n [0, 2, 0, -2],\n [0, 0, 1, -3],\n [-1, -2, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1393
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 0, -2, -1],\n [0, -3, 0, 2],\n [-2, 0, -1, 3],\n [-1, 2, 3, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-16
|
MATH
|
[
{
"content": "Find the value at position (2, 1) of the 4th power of the matrix:\n[[4, -2, 0, 4],\n [3, 2, 1, -3],\n [-4, 2, -2, 3],\n [0, 1, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, -4, 4, 4],\n [1, 2, 4, -2],\n [1, 0, -4, -1],\n [2, -1, -1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
379
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 3, 1, 2],\n [3, 3, -2, 0],\n [1, -2, -3, -2],\n [2, 0, -2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3383
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 2, 2, 1],\n [2, -3, -1, 3],\n [2, -1, -4, 0],\n [1, 3, 0, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
876
|
MATH
|
[
{
"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[2, -4, 1, 4],\n [2, -2, 3, -3],\n [-4, 2, -1, 3],\n [-3, -1, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-80
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 0, 2, -3],\n [0, 0, 3, -2],\n [2, 3, -3, -4],\n [-3, -2, -4, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-372
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, -2, 0, 4],\n [4, -2, 0, -3],\n [0, -1, -1, 4],\n [2, 1, -4, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-31
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[3, -1, 0, 3],\n [-1, -4, -4, 4],\n [0, -4, 0, -2],\n [3, 4, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-972
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -2, 2, 4],\n [-2, 2, 2, 2],\n [2, 2, -1, -2],\n [4, 2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1136
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, -4, 2, 4],\n [-4, 4, 0, 0],\n [2, 0, 2, 1],\n [4, 0, 1, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2274
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[2, 0, 3, 1],\n [0, 4, -1, -2],\n [3, -1, 1, 3],\n [1, -2, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-131
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, -1, 2, 4],\n [-1, -3, 0, -4],\n [2, 0, -2, 0],\n [4, -4, 0, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1510
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 2, -2, 3],\n [3, -3, 1, -2],\n [-3, 0, 2, 0],\n [2, 2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
244
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, 0, 0, -4],\n [-3, -4, 2, 3],\n [3, -1, 0, -2],\n [0, 0, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1883
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, -2, -2, 3],\n [-2, -1, 0, -1],\n [-2, 0, -3, 0],\n [3, -1, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4909
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, 2, 2, 4],\n [2, -2, -1, -1],\n [2, -1, 4, 0],\n [4, -1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2233
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 0, 3, 0],\n [0, 0, 2, -2],\n [3, 2, 2, 4],\n [0, -2, 4, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8723
|
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, -2, 4],\n [-1, -3, -1, -3],\n [-2, 1, 0, 0],\n [-3, 1, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2753
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[-1, 0, 0, 0],\n [0, 2, -1, 0],\n [0, -1, -3, -4],\n [0, 0, -4, 0]]\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[[2, 0, 2, -2],\n [0, 2, 0, 0],\n [2, 0, -1, -2],\n [-2, 0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3090
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 0, 1, 0],\n [0, -4, 4, -4],\n [1, 4, -2, 2],\n [0, -4, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-154
|
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, -4, -3],\n [-4, 0, 3, 1],\n [1, 4, -4, 3],\n [-2, -4, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1176
|
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, 2, 1, 0],\n [-2, 1, 4, -2],\n [-3, 0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4018
|
MATH
|
[
{
"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[-3, -2, 0, 2],\n [-2, -4, -1, -1],\n [0, -1, -3, 0],\n [2, -1, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-84
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 1, 0, 3],\n [2, -4, 0, 3],\n [4, -2, 2, -4],\n [-2, 2, -4, 2]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
68
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, -2, 2, 2],\n [-3, 3, 4, 4],\n [-4, 4, -4, 2],\n [1, 0, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5882
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 2, 0, 0],\n [2, 2, 0, 2],\n [0, 0, -2, 0],\n [0, 2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
215
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -2, 0, 1],\n [-2, 3, 0, 4],\n [0, 0, 0, 0],\n [1, 4, 0, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4059
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 2, 3, -3],\n [-2, 0, 1, -1],\n [2, -2, -3, 2],\n [-3, -1, 4, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1746
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, -2, 3, 2],\n [-4, -1, -3, 2],\n [1, -4, -4, 2],\n [0, 2, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-342
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 0, -2, 3],\n [-4, -4, 0, -4],\n [2, -1, -2, 3],\n [-4, 0, -1, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
824
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, 4, 4, 3],\n [4, 0, 2, -4],\n [4, 2, 1, -1],\n [3, -4, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10350
|
MATH
|
[
{
"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[3, -4, -2, 0],\n [-4, -1, 0, 3],\n [-2, 0, -2, 0],\n [0, 3, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
288
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 2, -2, 4],\n [-2, 4, -2, 2],\n [-1, -4, -2, 1],\n [0, 1, -1, -4]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-31
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, -2, 0, 1],\n [-2, 2, -3, 0],\n [0, -3, 2, 2],\n [1, 0, 2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
924
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, -2, 0, 3],\n [-2, 1, -3, 0],\n [0, -3, -2, -3],\n [3, 0, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2106
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, -2, 2, 0],\n [-2, 2, 0, 4],\n [2, 0, 0, 0],\n [0, 4, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3761
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 0, 0, -2],\n [0, 1, 1, -1],\n [0, 1, 0, -2],\n [-2, -1, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2814
|
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, 1, 2],\n [0, 2, 0, 0],\n [1, 0, 2, 2],\n [2, 0, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
349
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 1, -3, -3],\n [-3, -3, 4, -3],\n [1, 1, 1, -4],\n [-3, 1, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1502
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 1, 1, -1],\n [1, 0, -1, -1],\n [1, -1, -4, 3],\n [-1, -1, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2849
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 2, 1, -1],\n [3, -1, -4, 4],\n [3, -3, 4, 0],\n [0, 1, -4, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9636
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 2, 0, 0],\n [2, 3, 1, -4],\n [0, 1, 0, 4],\n [0, -4, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-60
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -1, 4, 0],\n [-1, 0, -2, -1],\n [4, -2, -1, 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"
}
] |
2465
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, 0, -4, -2],\n [1, 0, -1, 1],\n [1, 2, 0, 1],\n [4, 0, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-161
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 0, -2, 0],\n [0, 1, 0, -1],\n [-2, 0, 3, 1],\n [0, -1, 1, -2]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
31
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 2, -2, 2],\n [2, 0, 2, 0],\n [-2, 2, -1, -2],\n [2, 0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
813
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[4, 4, 0, -2],\n [4, -4, 2, 2],\n [0, 2, -3, 0],\n [-2, 2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
122
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 1, 4, -1],\n [-3, -1, 2, 4],\n [-2, 2, -3, 1],\n [1, 4, -2, 4]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
126
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 0, 2, -4],\n [0, 4, 3, -2],\n [2, 3, 0, 4],\n [-4, -2, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-117
|
MATH
|
[
{
"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[3, 0, 0, 1],\n [0, -2, 0, 4],\n [0, 0, -4, 0],\n [1, 4, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
20
|
MATH
|
[
{
"content": "What is the value at position (1, 1) of the matrix A^4 where A is:\n[[2, 0, 0, -4],\n [0, 2, -2, -2],\n [0, -2, 2, 0],\n [-4, -2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
528
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 2, 0, -4],\n [2, -2, 2, -1],\n [0, 2, 1, 0],\n [-4, -1, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1756
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 2) of the result:\nA =\n[[1, 4, -2, -2],\n [2, -2, 3, 2],\n [2, 0, 1, 1],\n [3, -3, 1, -4]]\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[[-4, -2, 0, 2],\n [-2, 4, 2, 0],\n [0, 2, 3, 0],\n [2, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
731
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 0, -4, 2],\n [0, 3, 0, 0],\n [-4, 0, 1, -3],\n [2, 0, -3, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-52
|
MATH
|
[
{
"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[-1, -2, 2, 3],\n [-2, 4, 1, 2],\n [2, 1, -2, 0],\n [3, 2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
88
|
MATH
|
[
{
"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[4, 0, 0, 2],\n [0, -4, -1, 0],\n [0, -1, -2, 0],\n [2, 0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, -3, 3, 1],\n [-1, -3, 0, 3],\n [2, 4, -1, -3],\n [-4, 0, -1, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-75
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -1, 1, -3],\n [-1, -2, -2, -2],\n [1, -2, 1, -1],\n [-3, -2, -1, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4572
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 2, -3, -4],\n [2, -1, -1, -2],\n [1, -2, 4, 2],\n [-3, 3, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1079
|
MATH
|
[
{
"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[-2, 0, 1, 0],\n [0, 2, 0, 0],\n [1, 0, -4, 0],\n [0, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
325
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, -2, 0, -1],\n [-2, 4, 0, -2],\n [0, 0, 0, 0],\n [-1, -2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
328
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 0, 0, 0],\n [0, -2, 2, -2],\n [0, 2, -4, 0],\n [0, -2, 0, 3]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-108
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[-1, 2, -3, -3],\n [-3, 0, 3, -3],\n [1, -2, 1, 1],\n [3, 3, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-258
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 0, 4, -1],\n [-1, -1, -2, -4],\n [2, -4, 4, -1],\n [-3, -2, 3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2939
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 0, -4, -1],\n [0, -2, 4, -2],\n [-4, 4, -4, 0],\n [-1, -2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-428
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, -3, 0, -4],\n [-3, -4, 4, 0],\n [3, 2, -4, 1],\n [0, 1, 3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3212
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 0, -4, -1],\n [0, 3, 2, -1],\n [1, 2, -2, -1],\n [2, 1, 1, 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, 0, 0, -2],\n [0, 4, 0, 0],\n [0, 0, -2, 3],\n [-2, 0, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1150
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 1, 4, -3],\n [4, -2, 2, 4],\n [1, -3, -2, -2],\n [-4, 1, 2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11894
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 1, 3, -1],\n [-4, 1, -1, -2],\n [-4, 4, 1, 1],\n [3, -3, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
557
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, -3, 0, -3],\n [-4, 1, -4, -1],\n [3, -1, -2, 0],\n [-3, 3, 2, -2]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
178
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 4, 0, -2],\n [-3, 1, 2, 4],\n [-4, -3, -2, -1],\n [-1, -3, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
389
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -1, 1, 4],\n [0, -4, 1, -1],\n [1, 2, 2, -3],\n [4, 1, 3, -2]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-90
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, 3, 0, 1],\n [2, 2, 4, 0],\n [-4, -2, -4, -4],\n [-3, -3, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1803
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[4, -1, 3, -2],\n [2, -4, 2, 3],\n [-1, -3, 1, 2],\n [-1, -2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
18
|
MATH
|
[
{
"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[-4, 0, -4, 0],\n [0, -2, -1, 3],\n [-4, -1, 1, 1],\n [0, 3, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-176
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 1, 2, -4],\n [4, -1, -2, 2],\n [-1, -1, 1, -4],\n [-2, -2, -4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6278
|
MATH
|
[
{
"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[3, 2, 0, 2],\n [2, 4, 0, 1],\n [0, 0, 4, -4],\n [2, 1, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2793
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -1, 0, 4],\n [-1, 4, 1, 1],\n [0, 1, 2, -2],\n [4, 1, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1264
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, -1, -2, -2],\n [-1, 2, -1, 0],\n [-2, -1, -3, -2],\n [-2, 0, -2, 0]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-36
|
MATH
|
[
{
"content": "What is the value at position (1, 2) of the matrix A^4 where A is:\n[[-2, 0, -2, -1],\n [0, 1, 4, 1],\n [-2, 4, -1, -2],\n [-1, 1, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-279
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 2, -1, 0],\n [2, 0, -1, 0],\n [-1, -1, 3, -2],\n [0, 0, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
700
|
MATH
|
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