messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "For the matrix power A^4 where A =\n[[0, -2, -1, 0],\n [-2, 1, 0, -2],\n [-1, 0, -1, 0],\n [0, -2, 0, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
387
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 1, 3, -2],\n [2, 1, -3, -3],\n [-4, -2, 3, -1],\n [-1, -2, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-107
|
MATH
|
[
{
"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[-1, -4, 3, 4],\n [4, -4, -4, 0],\n [-2, -2, -3, -1],\n [-3, -3, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-365
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[-2, 2, -2, 0],\n [2, -3, 0, 0],\n [-2, 0, 0, 0],\n [0, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-24
|
MATH
|
[
{
"content": "What is the value at position (4, 3) of the matrix A^3 where A is:\n[[-4, -3, 1, -1],\n [1, 4, 4, 0],\n [2, 1, 4, -1],\n [4, 3, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
112
|
MATH
|
[
{
"content": "Find the value at position (2, 2) of the 4th power of the matrix:\n[[-1, -4, -3, 4],\n [-2, -3, -4, -3],\n [-4, -3, -3, -3],\n [-1, 1, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2107
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 0, -1, 0],\n [0, 1, 0, 0],\n [-1, 0, -1, 2],\n [0, 0, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
13
|
MATH
|
[
{
"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[0, -2, -3, 0],\n [-2, 1, -2, -2],\n [-3, -2, -1, 4],\n [0, -2, 4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
293
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, -2, -1, 2],\n [4, 1, 2, -2],\n [0, -4, 4, 0],\n [4, 0, 1, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
53
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, -4, 0, 3],\n [0, 0, -4, -4],\n [4, -4, 3, 1],\n [4, 4, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6805
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -2, 0, 0],\n [-2, 0, 2, 0],\n [0, 2, 1, 2],\n [0, 0, 2, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
214
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, -2, -2, 2],\n [-2, -3, -1, -1],\n [-2, -1, 2, 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"
}
] |
413
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, -4, 2, -2],\n [0, 0, 1, 1],\n [4, -1, -4, -4],\n [4, -2, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-132
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 3, 1, -2],\n [3, 0, -2, -2],\n [1, -2, 2, -3],\n [-2, -2, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-217
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 1, -4, 0],\n [-2, 0, -2, 0],\n [3, 1, -3, -4],\n [4, -3, 2, 3]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-32
|
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, 0, 3],\n [2, -1, -2, -1],\n [-3, 0, -3, -3],\n [4, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1092
|
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, -4, 1],\n [-2, 3, -4, -4],\n [-2, 2, 2, 2],\n [4, 0, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6776
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 2, -2, 1],\n [2, 4, 0, 2],\n [-2, 0, -1, 2],\n [1, 2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
507
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 2) of the result:\nA =\n[[-3, 1, 2, -2],\n [-1, 4, 4, -3],\n [3, -2, 0, 4],\n [4, 2, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
37
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, -3, -1, -3],\n [-3, -3, 2, -4],\n [1, 0, 0, -1],\n [1, 3, 3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3583
|
MATH
|
[
{
"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[3, 0, -3, 0],\n [0, -1, -1, 0],\n [-3, -1, -4, -2],\n [0, 0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
87
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -3, -3, -2],\n [-1, -1, -3, 0],\n [-2, -3, -2, 2],\n [-2, 1, 2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5740
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[2, 0, -1, -2],\n [0, -4, 2, 0],\n [-1, 2, -3, -2],\n [-2, 0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
114
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 2, 2, -1],\n [2, -2, -1, 1],\n [2, -1, -2, 4],\n [-1, 1, 4, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
248
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 0, 1, 0],\n [0, -4, 0, 2],\n [1, 0, -3, -4],\n [0, 2, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-253
|
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, -1, -2],\n [1, -4, -1, 0],\n [-1, -1, 2, 2],\n [-2, 0, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3356
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 3, 3, -1],\n [3, -2, -4, -2],\n [4, -2, -4, 0],\n [-2, 3, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2469
|
MATH
|
[
{
"content": "Find the value at position (4, 2) of the 4th power of the matrix:\n[[0, 0, -2, -2],\n [0, -3, -2, 4],\n [-2, -2, -1, 1],\n [-2, 4, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1280
|
MATH
|
[
{
"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[2, 0, -2, 2],\n [0, -2, -1, -2],\n [-2, -1, 0, -1],\n [2, -2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
65
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 4, 2, 0],\n [4, -2, 0, -2],\n [2, 0, 3, -2],\n [0, -2, -2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2457
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -2, 2, 1],\n [-2, 3, 0, 2],\n [2, 0, 0, 0],\n [1, 2, 0, 3]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "Find the value at position (4, 4) of the 3th power of the matrix:\n[[-4, -2, -2, 3],\n [-2, -4, -3, 2],\n [-2, -3, 1, 1],\n [3, 2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-70
|
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, 0, -2],\n [2, 0, 0, 4],\n [0, 0, -2, -2],\n [-2, 4, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6432
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, -4, -3, 4],\n [3, 4, 1, 2],\n [-1, 0, 1, 1],\n [-2, -2, 3, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-273
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -2, 0, 4],\n [-2, 4, -3, -1],\n [0, -3, 1, 0],\n [4, -1, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
412
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 1, 1, -2],\n [1, 4, 2, 0],\n [1, 2, 4, 0],\n [-2, 0, 0, 4]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
135
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 4) of the result:\nA =\n[[-1, 0, 0, 2],\n [0, -1, 2, -2],\n [0, 2, 2, 0],\n [2, -2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
58
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -2, -2, 0],\n [-2, 1, 0, 2],\n [-2, 0, -4, 2],\n [0, 2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
949
|
MATH
|
[
{
"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[4, 0, 0, -2],\n [0, 1, 0, 0],\n [0, 0, -4, 2],\n [-2, 0, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-704
|
MATH
|
[
{
"content": "Find the value at position (2, 4) of the 3th power of the matrix:\n[[0, -4, -4, 4],\n [-4, -1, 4, 2],\n [-4, 4, 0, -2],\n [4, 2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-30
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 2) of the result:\nA =\n[[-2, 3, -4, -1],\n [2, 2, 3, 3],\n [0, -1, -4, -4],\n [4, -3, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
568
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, -3, 3, -3],\n [2, 1, -1, -1],\n [-1, 0, 1, -1],\n [-1, -3, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
160
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 0, 2, -2],\n [-3, 0, 0, 0],\n [-4, 3, -1, 0],\n [1, -2, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-78
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 0, 2, -3],\n [0, -2, 3, 0],\n [2, 3, -1, -4],\n [-3, 0, -4, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-534
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 4, -1, -3],\n [-4, -4, 0, 0],\n [-4, 3, -4, 0],\n [-2, 2, 3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1278
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[3, 0, 2, 4],\n [-4, 4, 1, -4],\n [0, -2, 3, 3],\n [-1, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-139
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, -2, -2, 0],\n [-2, -4, 2, 3],\n [-2, 2, -3, -2],\n [0, 3, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
15971
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 0, 0, 0],\n [0, 3, 0, -3],\n [0, 0, 1, -4],\n [0, -3, -4, -2]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 1) of the result:\nA =\n[[-3, -4, 2, -2],\n [-2, 0, 3, -4],\n [2, -3, -3, 1],\n [0, 2, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
200
|
MATH
|
[
{
"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[0, 3, -2, 1],\n [3, -2, 2, -1],\n [-2, 2, -2, 0],\n [1, -1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-136
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 4, 2, -2],\n [4, 4, 2, 2],\n [2, 2, 4, 4],\n [-2, 2, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2407
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 2, 2, -2],\n [0, 3, -3, -4],\n [1, 4, 0, -1],\n [-2, -3, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-29
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, 2, 0, 0],\n [2, 3, -2, 1],\n [0, -2, 2, 0],\n [0, 1, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4265
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 3, 4, 3],\n [2, -1, -2, -3],\n [2, -4, 1, 3],\n [-4, 4, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1201
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 2, 2, -2],\n [2, 2, 1, -3],\n [2, 1, -1, 1],\n [-2, -3, 1, 4]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
142
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, -2, 2, 0],\n [4, -2, 4, 3],\n [-3, -2, -2, -1],\n [-4, -3, -4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-214
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -3, 1, -4],\n [4, -2, -1, 0],\n [3, 4, 4, 4],\n [-1, -4, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
433
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, -2, -1, 4],\n [4, 0, 4, 1],\n [2, 4, -2, 2],\n [-2, -2, 3, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1150
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, -2, 0, 2],\n [-2, -4, -2, 0],\n [0, -2, -2, 4],\n [2, 0, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-146
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -4, -2, -1],\n [2, -1, -4, 3],\n [-1, 1, 1, 1],\n [1, -4, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4136
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 0, 0, -2],\n [0, -3, -2, 1],\n [0, -2, 1, 0],\n [-2, 1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
415
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[-2, 0, -1, 0],\n [0, 0, -1, 0],\n [-1, -1, 3, 0],\n [0, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 2, 2, 1],\n [2, -3, 2, -1],\n [2, 2, -3, -1],\n [1, -1, -1, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
80
|
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, 4],\n [0, -2, -3, 2],\n [-3, 1, -4, -3],\n [2, 4, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4944
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, -2, -1, -2],\n [2, -1, 3, 1],\n [-3, 1, -1, 2],\n [0, -3, -2, 3]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
118
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 2, -2, 0],\n [2, 1, -2, -1],\n [-2, -2, 2, -1],\n [0, -1, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-194
|
MATH
|
[
{
"content": "Find the value at position (4, 3) of the 3th power of the matrix:\n[[2, 1, 1, 4],\n [-4, -3, 2, 2],\n [1, -3, 1, 1],\n [4, 2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-32
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 4, 3, -3],\n [2, 2, 1, 3],\n [1, 1, 3, 1],\n [2, -2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2763
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 4, -2, 1],\n [4, -4, -1, 3],\n [4, 1, -3, -1],\n [-2, 1, 0, 1]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-190
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 1, 1, -1],\n [-3, 1, 0, 1],\n [-2, -4, 0, -2],\n [0, -2, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1012
|
MATH
|
[
{
"content": "Find the value at position (4, 2) of the 3th power of the matrix:\n[[2, -4, -2, -1],\n [-4, 3, 0, 0],\n [-2, 0, 3, 0],\n [-1, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
24
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 1, -2, 4],\n [-3, 2, 0, 2],\n [4, -4, 1, 4],\n [-1, -3, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1103
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -4, 0, -3],\n [2, -2, -1, -3],\n [-1, -4, 2, 4],\n [4, 3, -3, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1063
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -2, 0, 4],\n [3, 4, 2, 2],\n [-3, -1, 1, -3],\n [3, 1, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6396
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 4, -3, -4],\n [4, 4, 0, -1],\n [-3, 0, 2, 4],\n [-3, 0, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1710
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, -2, -3, 0],\n [-2, 0, -4, 0],\n [-3, -4, 3, -2],\n [0, 0, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3312
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[-2, -3, 1, -2],\n [2, -3, 2, 1],\n [-3, -3, 1, -3],\n [-4, 1, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
38
|
MATH
|
[
{
"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[0, 1, 0, 0],\n [1, 3, -1, 3],\n [0, -1, 1, 0],\n [0, 3, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
54
|
MATH
|
[
{
"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[0, 0, 2, -3],\n [3, 2, 3, -4],\n [-3, 1, 0, -2],\n [-2, 1, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
14
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, -2, 1, 4],\n [-3, 4, 4, 4],\n [2, -3, 0, 3],\n [-1, 0, -4, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
832
|
MATH
|
[
{
"content": "Find the value at position (1, 4) of the 4th power of the matrix:\n[[4, 3, -4, 0],\n [-4, 2, -4, 2],\n [2, -2, 0, -2],\n [4, -1, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
162
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 0, -2, -1],\n [0, 0, 0, 0],\n [-2, 0, -2, 0],\n [-1, 0, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
202
|
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, 4, 0],\n [-2, -2, -2, -1],\n [4, -2, -1, 1],\n [0, -1, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7257
|
MATH
|
[
{
"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[-4, 0, -3, 2],\n [0, -4, 2, 0],\n [-3, 2, -3, 3],\n [2, 0, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
124
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 2, 1, -4],\n [2, -4, 2, 0],\n [1, 2, 3, 2],\n [-4, 0, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3704
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 1, -2, 0],\n [1, -4, -2, 1],\n [-2, -2, 3, -2],\n [0, 1, -2, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-79
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, -1, 2, 2],\n [-1, 2, 0, 0],\n [2, 0, 1, 0],\n [2, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
822
|
MATH
|
[
{
"content": "Find the value at position (1, 4) of the 4th power of the matrix:\n[[-4, 4, -2, -2],\n [-1, 0, -3, 3],\n [2, 1, 1, 0],\n [2, 3, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-38
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 2, 2, 1],\n [2, -1, 1, -3],\n [2, 1, 3, 0],\n [1, -3, 0, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
913
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 4, -2, 0],\n [4, 0, 1, 2],\n [-2, 1, -4, 2],\n [0, 2, 2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5747
|
MATH
|
[
{
"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[-1, 0, -3, 0],\n [0, 1, -1, 0],\n [-3, -1, -2, -2],\n [0, 0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-17
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 2, 0, -4],\n [2, 3, 3, 0],\n [0, 3, 0, 0],\n [-4, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7787
|
MATH
|
[
{
"content": "What is the value at position (2, 1) of the matrix A^4 where A is:\n[[-2, 1, 3, -3],\n [1, 2, 3, -4],\n [4, -2, -3, -1],\n [3, -2, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
32
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -2, 4, -2],\n [-4, -1, -4, -2],\n [-1, 4, 4, -4],\n [4, -1, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10860
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, -2, 0, 3],\n [-2, -4, 1, 1],\n [0, 1, -1, -2],\n [3, 1, -2, 0]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
106
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[4, 1, 3, -2],\n [1, 2, 0, -2],\n [3, 0, 1, 0],\n [-2, -2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
105
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 0, 0, 4],\n [4, -1, 0, 2],\n [-2, -2, 3, -4],\n [1, 4, -3, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-93
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 2, -4, 3],\n [4, -3, 2, -2],\n [-2, 3, -1, -4],\n [2, -4, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
136
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 0, -3, -2],\n [0, -4, 1, 0],\n [-3, 1, -3, -2],\n [-2, 0, -2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-714
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 0, -2, -3],\n [0, 0, 2, -1],\n [-2, 2, -2, 1],\n [-3, -1, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3921
|
MATH
|
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