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 all entries of the result:\nA =\n[[3, -3, 2, -2],\n [3, -4, 3, -1],\n [0, -3, 3, 2],\n [-1, -3, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1124
|
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, -1, -1],\n [-4, -1, -2, 2],\n [0, 2, 3, 1],\n [-4, 2, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1406
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 1, -3, 2],\n [1, -2, -2, 0],\n [-3, -2, 3, 0],\n [2, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1397
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 0, 1, -2],\n [0, 4, 2, 0],\n [1, 2, 1, 4],\n [-2, 0, 4, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6185
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -1, -1, 3],\n [2, 3, 1, 4],\n [-2, -1, 0, 4],\n [2, 2, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3943
|
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, -3],\n [1, 0, 4, -3],\n [-2, -3, 0, 1],\n [-1, 3, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3910
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 0, 0, 0],\n [0, -3, 0, -2],\n [0, 0, 4, 0],\n [0, -2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-88
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -3, 3, 4],\n [1, 2, -1, 1],\n [4, -4, 3, -1],\n [3, 4, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
180
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 4, -1, 1],\n [4, -1, 2, -2],\n [-1, 2, -4, 0],\n [1, -2, 0, -4]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
676
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -3, -1, 1],\n [-3, 1, 0, -2],\n [-1, 0, -2, 2],\n [1, -2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
38
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[4, 0, 2, -1],\n [0, 1, 0, 0],\n [2, 0, 3, -2],\n [-1, 0, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-403
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -4, 0, -2],\n [-4, -3, 2, -2],\n [0, 2, -4, 2],\n [-2, -2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1726
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -1, -1, -4],\n [2, -4, -4, 0],\n [0, -1, 4, -2],\n [1, -4, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
879
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 2, 3, -4],\n [4, 0, 0, -4],\n [4, -4, -2, 0],\n [-3, -2, 4, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2119
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 0, 3, 1],\n [2, -4, -2, -2],\n [-2, -3, -2, -4],\n [4, -1, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-911
|
MATH
|
[
{
"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[1, -1, 0, 3],\n [-1, -3, 1, 0],\n [0, 1, 1, -2],\n [3, 0, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-24
|
MATH
|
[
{
"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[-3, -3, 0, -2],\n [-3, -3, -2, 1],\n [0, -2, -3, -2],\n [-2, 1, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-90
|
MATH
|
[
{
"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[4, 4, 3, 0],\n [2, 4, -1, -4],\n [1, -3, 0, -3],\n [2, -2, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-3
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 3, -1, 2],\n [3, -4, 0, 2],\n [-1, 0, 3, -2],\n [2, 2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6274
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 4, 0, -4],\n [3, 0, -3, 1],\n [4, -3, -3, -4],\n [1, 0, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-80
|
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, -2, -2],\n [0, -2, -2, 0],\n [-2, -2, -3, -1],\n [-2, 0, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
553
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 0, 0, 0],\n [0, 1, 2, 1],\n [0, 2, -4, 1],\n [0, 1, 1, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1118
|
MATH
|
[
{
"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[-3, -3, 4, -4],\n [-2, -1, 1, 3],\n [-1, -2, -2, -1],\n [-2, 4, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
153
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, -3, 1, -2],\n [-2, 4, -1, -4],\n [-3, -4, -1, 4],\n [-4, -2, -2, 4]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
920
|
MATH
|
[
{
"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[-2, 3, 1, -2],\n [3, 2, 0, 2],\n [1, 0, -2, -2],\n [-2, 2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-52
|
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, 0, 2],\n [-1, 1, 0, -3],\n [0, 0, 3, -1],\n [2, -3, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3351
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, 1, 4, -2],\n [-3, 2, -4, -1],\n [2, 2, 2, 3],\n [-2, -1, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2940
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -1, 1, 4],\n [4, 1, -3, 1],\n [-4, -2, -2, 3],\n [2, 1, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
51
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 2, -2, 1],\n [2, 1, 4, -1],\n [-2, 4, 0, -2],\n [1, -1, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-36
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -1, -2, -2],\n [4, 3, 1, 3],\n [1, -3, 2, -4],\n [-4, 1, 4, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
777
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, -2, -1, -1],\n [4, 3, -3, -2],\n [4, -4, -3, 2],\n [2, -3, 4, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
997
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, -3, 1, -3],\n [1, 0, -1, -2],\n [-1, -2, -1, 0],\n [0, 4, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
177
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, -4, 0, -3],\n [2, -2, 2, 2],\n [-3, -3, -2, 1],\n [-1, -4, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4070
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[4, 4, 0, 0],\n [4, 0, 0, 2],\n [0, 0, -2, 0],\n [0, 2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
144
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, -1, -2, 0],\n [-1, 3, 3, 0],\n [-2, 3, -2, 0],\n [0, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
417
|
MATH
|
[
{
"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[-2, -3, -2, 1],\n [1, -2, -3, 0],\n [-1, 4, 4, -3],\n [-4, -1, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
23
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, -2, 2, 2],\n [2, -1, -3, 1],\n [2, 4, -2, 3],\n [-4, 4, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
93
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, -2, -2, 3],\n [-2, 0, -2, 3],\n [-2, 2, 2, -2],\n [-3, 4, 0, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-105
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 4, -4, -2],\n [1, -4, 1, -1],\n [3, 3, 2, 0],\n [1, 4, 4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-270
|
MATH
|
[
{
"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[-4, -2, -4, -1],\n [-4, 0, -2, 3],\n [0, -3, 4, 1],\n [2, 0, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-141
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, -2, 1, 1],\n [2, -1, 3, 0],\n [-3, 4, 1, 0],\n [2, 3, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1507
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 2, 0, -1],\n [1, 4, 4, 2],\n [-3, 1, 0, -3],\n [3, 1, 2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
528
|
MATH
|
[
{
"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[-4, -2, -2, -2],\n [-2, 2, 2, 0],\n [-2, 2, 4, 2],\n [-2, 0, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
464
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, 0, -2, 1],\n [1, 4, -3, -3],\n [1, 1, 0, 2],\n [1, 2, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
588
|
MATH
|
[
{
"content": "What is the value at position (4, 2) of the matrix A^4 where A is:\n[[-1, 2, 3, 4],\n [4, -1, -3, 0],\n [-4, 4, 0, -2],\n [4, 4, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
312
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 4, 1, 3],\n [4, 1, 0, 1],\n [0, 1, 3, 1],\n [-1, -4, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-194
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, -2, 0, 0],\n [-2, -1, 2, -2],\n [0, 2, 1, -2],\n [0, -2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1172
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 1, -3, 0],\n [3, -1, 2, -2],\n [3, -3, 2, 3],\n [2, 1, 4, 3]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-31
|
MATH
|
[
{
"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[-4, -1, 3, -3],\n [-3, 4, -3, -1],\n [-3, 1, 3, 1],\n [1, 3, -3, 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[[3, -3, -2, 0],\n [-3, 1, 1, 1],\n [-2, 1, 0, -2],\n [0, 1, -2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
76
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, 0, -4, -1],\n [0, 1, 0, 2],\n [-4, 0, 1, 1],\n [-1, 2, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2321
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 0, -2, -4],\n [4, 4, 4, -4],\n [3, -3, 0, 3],\n [-1, -1, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1010
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 0, -1, 1],\n [0, 2, 4, 2],\n [-1, 4, 2, 3],\n [1, 2, 3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8184
|
MATH
|
[
{
"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[-4, -2, -2, -4],\n [-1, -2, -3, -3],\n [0, -4, 0, 2],\n [-2, -4, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-320
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 1, 1, -1],\n [1, -4, 0, -2],\n [1, 0, 0, 0],\n [-1, -2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-364
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 1, 2, 2],\n [3, 1, 1, -1],\n [0, 4, 1, -3],\n [-3, 4, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3168
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, -1, -2, -3],\n [-1, 1, 0, 2],\n [-2, 0, 2, 2],\n [-3, 2, 2, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1359
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, -3, -2, -3],\n [3, 0, 3, -3],\n [-3, 2, -4, 3],\n [-2, 4, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-115
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 0, 0, 3],\n [0, 4, 0, -4],\n [0, 0, -1, 2],\n [3, -4, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1314
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 1, -1, 2],\n [1, -2, -1, -2],\n [-1, -1, 0, 2],\n [2, -2, 2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
581
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 0, -1, 1],\n [0, -3, -2, 4],\n [-1, -2, 3, 0],\n [1, 4, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
821
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\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"
}
] |
1387
|
MATH
|
[
{
"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[3, 2, 2, -1],\n [2, -2, -1, 0],\n [2, -1, 1, 4],\n [-1, 0, 4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1450
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 2, -1, -2],\n [2, 0, 0, 2],\n [-4, -2, -4, -3],\n [-2, 4, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3397
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[3, 2, -1, 1],\n [2, -1, -1, 2],\n [-1, -1, 3, 2],\n [1, 2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
47
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, 0, -3, 0],\n [0, -4, 0, 1],\n [-3, 0, -2, -1],\n [0, 1, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
774
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 2, -1, 1],\n [2, 2, 0, -1],\n [-1, 0, 4, 4],\n [1, -1, 4, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
403
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -4, -1, -1],\n [1, -4, 1, -2],\n [2, 1, -4, -1],\n [3, -1, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1151
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 4, -4, 4],\n [-3, 2, -3, -4],\n [3, 2, -3, 1],\n [-4, -3, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
417
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[2, 2, 2, 2],\n [2, 1, -4, 0],\n [2, -4, -1, 4],\n [2, 0, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
280
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, -1, 0, -3],\n [2, -4, 3, -4],\n [3, 4, -3, -3],\n [2, 3, 1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6937
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, -1, -2, -2],\n [-4, 0, 4, -3],\n [3, 3, -1, -4],\n [-1, 3, 3, -2]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-28
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, -2, -4, 0],\n [-3, 3, -2, -3],\n [-3, -3, -4, -3],\n [2, 4, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1816
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 1, 3, 2],\n [4, -4, -3, 2],\n [0, -3, 2, 3],\n [-2, -2, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
852
|
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, -2, 2],\n [0, -3, 2, 2],\n [-2, 2, -2, 2],\n [2, 2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2754
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 3, -4, 2],\n [-2, 0, 4, 1],\n [2, 2, 0, 3],\n [-4, -2, 3, 1]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
759
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 1) of the result:\nA =\n[[0, 0, 0, 1],\n [0, 2, 0, 0],\n [0, 0, 4, 1],\n [1, 0, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
30
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, -1, -4, -3],\n [-4, -3, 0, -1],\n [-3, 0, -3, 1],\n [3, -3, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9033
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, 1, 2, 0],\n [1, 2, 0, -2],\n [2, 0, 3, -4],\n [0, -2, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
575
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -3, 4, 1],\n [-1, -1, -4, -2],\n [-2, -3, -3, -4],\n [0, 3, -1, 0]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-108
|
MATH
|
[
{
"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[-4, -2, 0, 2],\n [1, -2, -3, -2],\n [2, 0, -4, -1],\n [0, -1, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-48
|
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, 4],\n [-3, 4, 4, -1],\n [-3, 2, -1, -3],\n [-4, -4, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
16064
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 0, 0, 2],\n [0, -4, -2, 0],\n [0, -2, -2, -4],\n [2, 0, -4, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
13408
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, 0, -3, 2],\n [0, -4, 0, -1],\n [-3, 0, 3, 0],\n [2, -1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
554
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 1, -3, -2],\n [1, 0, -4, 3],\n [1, 0, 1, 1],\n [1, 2, -3, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
734
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 4, -2, -3],\n [-2, 0, -2, -1],\n [1, -3, -1, -1],\n [1, 1, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
425
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[2, 0, 0, 0],\n [0, -4, 2, -2],\n [0, 2, 4, 0],\n [0, -2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
16
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 1, 1, 0],\n [4, -2, -2, 1],\n [-1, 0, 2, -3],\n [3, -4, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
92
|
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, -2, -3, 2],\n [-2, -1, 1, 4],\n [-2, 2, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9951
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 2, -2, 0],\n [2, 2, 4, 2],\n [-2, 4, -2, 0],\n [0, 2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9581
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, -2, -1, -4],\n [-2, -1, -3, 0],\n [-1, -3, -1, -1],\n [-4, 0, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
14329
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[-3, 0, 4, 2],\n [0, -1, 0, -2],\n [4, 0, -3, 0],\n [2, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
142
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 1, -4, -4],\n [2, -4, 2, -2],\n [-3, 3, 2, -3],\n [-2, -3, 1, 2]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
50
|
MATH
|
[
{
"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[-4, -4, 1, -4],\n [-2, 1, 3, -1],\n [-4, 2, -3, -1],\n [1, 1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-131
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[-3, -4, -1, 3],\n [3, -4, -3, -3],\n [3, 0, 1, 0],\n [-4, 2, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
165
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 3, 3, -1],\n [4, -1, -3, 1],\n [4, -4, -3, 3],\n [-1, 3, -3, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
23
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 1, -3, -1],\n [-1, -3, 3, -3],\n [-1, 0, -4, 0],\n [3, 1, 0, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4377
|
MATH
|
[
{
"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[-1, -4, 2, 0],\n [1, 3, 4, -1],\n [3, 0, -2, 1],\n [-3, 3, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-357
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, -1, 1, 0],\n [-1, 1, 1, 0],\n [1, 1, -1, 2],\n [0, 0, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
261
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 3, -2, -3],\n [-3, -2, 1, -3],\n [0, -2, 4, 0],\n [3, -1, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
311
|
MATH
|
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