messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -3, 2, -3],\n [-1, 4, -4, 3],\n [-4, 2, -3, -1],\n [4, 0, 2, -4]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-828
|
MATH
|
[
{
"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[3, 0, 2, 0],\n [0, -1, 2, -1],\n [2, 2, 1, 1],\n [0, -1, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
16
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 0, 2, 4],\n [-4, -1, 3, -1],\n [4, 0, 2, -2],\n [-3, -4, 1, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
714
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[3, 3, 1, -1],\n [-3, 1, -1, -2],\n [-1, -1, -4, -1],\n [3, -4, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-107
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, 4, 1, -1],\n [4, 2, -3, -4],\n [4, 2, 1, 0],\n [2, -2, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6246
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[-1, 2, 0, 4],\n [2, 3, 0, -2],\n [0, 0, -4, 2],\n [4, -2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
52
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, 0, 3, 0],\n [0, 2, -1, -1],\n [3, -1, -4, 0],\n [0, -1, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1813
|
MATH
|
[
{
"content": "What is the value at position (1, 4) of the matrix A^4 where A is:\n[[0, 4, 0, 1],\n [-3, 4, 2, -1],\n [2, -3, -3, -2],\n [4, 3, -4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-193
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 3, -3, -2],\n [-1, 1, 1, 3],\n [-2, -2, 2, 0],\n [0, 0, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
420
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -3, 0, 4],\n [3, -2, 4, -4],\n [0, -3, -3, 4],\n [-4, -1, 1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
434
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 0, 2, -3],\n [1, -4, -4, -4],\n [-4, 0, -2, -2],\n [3, 1, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-533
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 0, 0, 0],\n [0, -2, 0, 2],\n [0, 0, -1, 0],\n [0, 2, 0, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
225
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, -3, 2, -1],\n [-3, -2, 0, 1],\n [2, 0, -1, -1],\n [-1, 1, -1, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-56
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[0, 3, -1, -1],\n [2, -2, 3, 3],\n [-3, -2, 2, -4],\n [0, -2, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-25
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 0, -4, 3],\n [-2, -4, 2, -2],\n [3, 1, 4, -3],\n [-2, 3, 0, -1]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
36
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, -3, 3, -4],\n [3, 4, -4, 0],\n [4, 2, 2, 0],\n [1, 3, -4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
14824
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 0, -2, 2],\n [0, -3, 2, -4],\n [-2, 2, 2, -2],\n [2, -4, -2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-144
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, -1, -1, -2],\n [-4, -1, -4, 1],\n [-3, 2, -4, 2],\n [-3, 1, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2512
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, -3, -2, 0],\n [0, -1, -2, -4],\n [1, -1, -1, 1],\n [3, 1, 2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
100
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 3, -3, 2],\n [-2, 2, 0, 0],\n [2, -3, 4, 3],\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"
}
] |
1110
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 0, -2, 3],\n [0, 4, 0, 1],\n [-2, 0, 4, 0],\n [3, 1, 0, 4]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-552
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, -3, 4, 4],\n [4, 2, -2, -4],\n [-3, -3, 3, 3],\n [-3, -2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3450
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, -1, 3, 3],\n [3, 2, -1, -2],\n [0, 1, -1, 0],\n [4, 0, 4, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
449
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, -1, -4, -1],\n [4, 2, -1, 4],\n [4, 4, 0, 4],\n [1, 3, -3, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1080
|
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, 3, 0, 0],\n [2, 0, 2, 0],\n [2, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
296
|
MATH
|
[
{
"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[-2, 2, -1, 4],\n [2, -1, 1, 0],\n [-1, 1, -4, -2],\n [4, 0, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
29
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -4, -1, 0],\n [0, -3, 1, -3],\n [1, -2, -4, -2],\n [-1, 0, -3, -3]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-121
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, 2, -2, 4],\n [-4, -2, -1, -3],\n [0, -2, -2, -1],\n [1, 0, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2870
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 0, -2, -3],\n [0, 4, 0, 2],\n [-2, 0, -4, 1],\n [-3, 2, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
121
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[-1, 0, 2, 2],\n [0, -1, 1, -2],\n [2, 1, 1, 0],\n [2, -2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-6
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 0, -2, 0],\n [0, 1, -2, 2],\n [-2, -2, 4, 0],\n [0, 2, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3521
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -2, -4, -4],\n [-1, -1, -2, 1],\n [0, -4, 2, -2],\n [4, -4, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
666
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 4, 0, -2],\n [-2, 4, 2, 2],\n [-2, -2, 1, 3],\n [1, 0, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
454
|
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, 1],\n [2, -4, -1, 1],\n [0, -1, -3, -1],\n [1, 1, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
715
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[-3, -2, 4, -1],\n [0, 3, 4, 2],\n [-2, -2, -2, 4],\n [0, 2, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
56
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 3, -2, -3],\n [-1, 3, -4, 3],\n [-2, 3, -3, -2],\n [-1, 3, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
567
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 1, 4, -1],\n [-4, -4, 0, -3],\n [4, -2, -4, 1],\n [-2, 2, -3, -1]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
418
|
MATH
|
[
{
"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[-4, 2, 0, 0],\n [2, 2, 1, -1],\n [0, 1, 0, 0],\n [0, -1, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
36
|
MATH
|
[
{
"content": "What is the value at position (4, 2) of the matrix A^4 where A is:\n[[3, -1, -3, 3],\n [3, -4, -2, 1],\n [-3, 0, 1, 1],\n [-4, 2, -4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-62
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -1, 1, -1],\n [-1, 4, 0, 0],\n [1, 0, 3, -3],\n [-1, 0, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
479
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, -1, 3, -2],\n [2, -3, -3, -1],\n [-2, 2, -2, -2],\n [4, 0, 1, 0]], determine the sum of absolute values 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[[-3, -1, 1, -1],\n [0, -1, -2, -4],\n [2, 1, 4, 4],\n [-4, 1, 3, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-172
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 0, 0, 2],\n [0, -3, -2, 0],\n [0, -2, -2, -2],\n [2, 0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2589
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 2, 0, -2],\n [2, -1, -1, -1],\n [0, -1, 0, 2],\n [-2, -1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
278
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 0, -4, 0],\n [0, 2, -2, 1],\n [-4, -2, -1, 0],\n [0, 1, 0, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2619
|
MATH
|
[
{
"content": "What is the value at position (4, 1) of the matrix A^4 where A is:\n[[2, -1, 2, 2],\n [-1, 2, -3, 0],\n [2, -3, 0, 0],\n [2, 0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
48
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 1, -1, 0],\n [1, 0, -1, 0],\n [-1, -1, 1, 4],\n [0, 0, 4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
836
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 2, 2, 1],\n [1, -3, -3, 2],\n [-2, -4, -3, 2],\n [3, 4, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1154
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[0, -2, 3, -3],\n [-4, -3, -1, -3],\n [-4, 0, -3, 4],\n [0, 3, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
76
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 0, -1, 4],\n [0, 4, 0, 0],\n [-1, 0, -2, 0],\n [4, 0, 0, 2]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, -3, -2, 3],\n [-2, 1, -3, 0],\n [-2, 4, -4, 4],\n [4, 1, -4, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6720
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -4, 0, 0],\n [-4, 1, 1, 0],\n [0, 1, 2, 0],\n [0, 0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1107
|
MATH
|
[
{
"content": "What is the value at position (4, 2) of the matrix A^3 where A is:\n[[3, -3, -1, 4],\n [-1, -2, -4, 4],\n [-3, -2, 4, 2],\n [2, -2, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-39
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, -4, 0, 2],\n [2, -2, 3, 0],\n [0, 4, -4, -3],\n [-1, -4, 0, -3]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-60
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 1, -4, 3],\n [1, 0, -2, -2],\n [-4, -2, 3, 4],\n [3, -2, 4, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
15327
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 0, 4, -2],\n [4, 1, -4, 1],\n [0, 1, -4, -1],\n [-2, -1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-10
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 3, 2, -4],\n [-4, -1, -1, 2],\n [-3, 0, -1, 0],\n [0, -3, 4, -1]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
153
|
MATH
|
[
{
"content": "What is the value at position (1, 4) of the matrix A^3 where A is:\n[[4, 1, 0, 2],\n [1, -4, -2, 2],\n [0, -2, 1, -2],\n [2, 2, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
90
|
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, 2, -3],\n [0, 2, 4, -1],\n [3, -2, 0, 2],\n [2, -1, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
669
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, -4, -3, -3],\n [1, 0, -1, 0],\n [-1, 3, 2, -1],\n [3, -4, -4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
225
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 4, -2, 1],\n [3, 4, 2, -2],\n [-1, 1, -1, 1],\n [4, 0, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1033
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 1, 2, 2],\n [1, 2, 0, 2],\n [2, 0, 0, 1],\n [2, 2, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
480
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[3, -2, -4, 3],\n [-3, -2, -1, -2],\n [-1, 3, 3, -1],\n [-1, -4, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, -2, 4, -1],\n [2, -1, 0, -4],\n [2, -1, 1, -2],\n [1, 1, 4, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
492
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[-4, 3, 2, 4],\n [4, -3, -1, -2],\n [-1, -4, -3, -1],\n [2, 1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1933
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 2, -2, 0],\n [2, -4, 0, 2],\n [-2, 0, 0, 1],\n [0, 2, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-9
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 0, -1, 3],\n [0, 1, 2, -1],\n [-1, 2, -1, 0],\n [3, -1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2688
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, -1, 0, -2],\n [-1, -3, -2, 0],\n [0, -2, 4, 1],\n [-2, 0, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-58
|
MATH
|
[
{
"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[0, -4, 0, 0],\n [-3, 2, 0, 1],\n [-1, 0, 1, 4],\n [0, -4, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-176
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[3, 0, 2, 2],\n [-2, 1, 1, -1],\n [0, 2, 2, 1],\n [-3, -4, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-108
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 4, -1, 2],\n [4, 0, -2, 0],\n [-1, -2, 4, -1],\n [2, 0, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1469
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -2, 0, -4],\n [0, -3, 2, 1],\n [-2, -1, 1, 3],\n [3, -1, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
51
|
MATH
|
[
{
"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[1, -4, -4, -4],\n [-1, -3, 2, 1],\n [2, 3, 2, -4],\n [1, 0, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1
|
MATH
|
[
{
"content": "Find the value at position (2, 2) of the 4th power of the matrix:\n[[3, 1, 0, 2],\n [1, 2, 2, -2],\n [0, 2, -2, 3],\n [2, -2, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
210
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -2, -4, 0],\n [-2, 2, -2, 0],\n [-4, -2, 0, 2],\n [0, 0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
920
|
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, -2],\n [-3, 2, 1, 0],\n [-3, 1, 3, 2],\n [-2, 0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1658
|
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, 0, -1, -2],\n [-2, -1, 1, -2],\n [0, -2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
993
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, 2, 2, 2],\n [-4, 1, 1, -2],\n [-2, 4, -1, -3],\n [-4, 1, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1068
|
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, -2],\n [-3, 2, 1, 0],\n [0, 1, 1, -2],\n [-2, 0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1728
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -1, 0, 0],\n [-1, -2, 1, 0],\n [0, 1, -2, 0],\n [0, 0, 0, 2]], determine the value at position (2, 4).\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 all entries of the result:\nA =\n[[0, 0, -2, -2],\n [0, -4, 1, 2],\n [-2, 1, 2, 2],\n [-2, 2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1803
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 2, 1, 4],\n [3, 0, 3, 3],\n [-4, -1, -1, 4],\n [-3, 1, -4, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4255
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -4, 0, -1],\n [-4, -2, 4, -1],\n [1, 2, 1, 3],\n [-2, -2, 1, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1590
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[3, -1, 0, -1],\n [2, 0, -2, -1],\n [2, -1, 2, -1],\n [1, 3, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-37
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[4, -2, 2, -1],\n [-2, -3, 0, 2],\n [2, 0, -3, 0],\n [-1, 2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
44
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 2, 2, -2],\n [2, -3, -3, 0],\n [2, -3, 2, 2],\n [-2, 0, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
55
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 2, 0, -4],\n [0, 0, -1, -2],\n [2, 2, 1, -2],\n [-3, -1, 1, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-66
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -2, 0, 3],\n [-2, 1, 0, -3],\n [0, 0, -2, -3],\n [3, -3, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5316
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -2, 0, 1],\n [-2, -1, 0, 1],\n [0, 0, 3, -2],\n [1, 1, -2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2670
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 0, -2, -4],\n [0, 1, 0, 0],\n [-2, 0, 2, -2],\n [-4, 0, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
12598
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, -1, -3, 2],\n [1, 2, 1, -4],\n [-4, -2, 1, 2],\n [4, -1, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1558
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -2, -3, 3],\n [-2, 3, 2, -2],\n [-3, 2, -4, -2],\n [3, -2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-320
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[-4, 1, 1, 2],\n [4, -3, 2, 1],\n [1, 3, 1, 3],\n [2, 4, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-17
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 0, 4, -4],\n [-2, -3, 1, 0],\n [2, 3, 1, 4],\n [-3, -3, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3903
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, 0, -4, -2],\n [0, 2, 1, 0],\n [-4, 1, -4, 0],\n [-2, 0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9975
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 0, 0, 0],\n [0, -2, -4, -2],\n [0, -4, 3, -2],\n [0, -2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-334
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 0, -4, 0],\n [0, -1, 1, 0],\n [-4, 1, -1, -2],\n [0, 0, -2, 3]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
416
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, -4, 3, -3],\n [-2, 0, 1, 2],\n [-4, 2, 3, 1],\n [-2, -2, 2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1088
|
MATH
|
[
{
"content": "Find the value at position (4, 2) of the 4th power of the matrix:\n[[1, 0, 2, 2],\n [0, 0, 0, 2],\n [2, 0, -3, 2],\n [2, 2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
214
|
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, 2],\n [0, 0, 0, -2],\n [1, 0, -3, 0],\n [2, -2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1350
|
MATH
|
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