messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, -4, 1, 1],\n [-2, 2, 3, -1],\n [-1, 1, -3, 4],\n [4, 0, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8551
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 4, 2, 1],\n [2, -1, -3, 1],\n [4, -2, -1, -2],\n [3, 2, -1, 3]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-67
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, -3, 3, 4],\n [-1, 0, -4, -2],\n [0, 0, -4, -2],\n [0, 3, 4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
293
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -2, 3, -4],\n [-2, 2, 3, 1],\n [-3, 2, 4, -4],\n [0, 3, -4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
958
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 4, 2, 3],\n [3, 2, -1, 2],\n [2, 0, 4, 3],\n [4, 3, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1527
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[1, 1, -4, -4],\n [-2, -1, -4, 0],\n [-1, -1, 0, 4],\n [3, 3, 4, 1]]\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, 2, -1, -1],\n [-1, 0, 1, 2],\n [4, -1, -3, 0],\n [1, -1, 3, -1]], determine the value at position (3, 2).\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[[2, 4, 0, -2],\n [4, -1, 1, 3],\n [0, 1, 1, 1],\n [-2, 3, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3260
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 0, 0, 0],\n [0, -3, 0, 2],\n [0, 0, -4, 0],\n [0, 2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
981
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 1, 0, -1],\n [-2, -4, 3, 2],\n [0, 0, 2, -1],\n [0, -3, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
510
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 2, 2, -2],\n [2, -1, 2, -3],\n [-2, -2, -4, -4],\n [-1, 3, 0, -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^4 where A is:\n[[3, 3, 0, 1],\n [3, -1, 2, 0],\n [0, 2, 2, 1],\n [1, 0, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2498
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[3, 0, -2, -3],\n [0, 4, 1, -3],\n [-2, 1, 0, -4],\n [-3, -3, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
73
|
MATH
|
[
{
"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[-2, -2, -1, 2],\n [3, 0, -4, 0],\n [-4, 1, 3, -1],\n [-2, 1, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-5
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, -1, 3, 2],\n [-1, -3, 0, 0],\n [3, 0, 3, 0],\n [2, 0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1176
|
MATH
|
[
{
"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[3, 0, 1, 1],\n [3, 4, 1, 3],\n [-2, 0, -4, -1],\n [0, 4, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
31
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, -1, 0, -1],\n [-1, -4, -2, 0],\n [0, -2, 0, -2],\n [-1, 0, -2, 2]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-7
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[-4, 2, -2, 3],\n [2, -3, 3, -3],\n [1, -1, -3, -4],\n [2, 2, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
92
|
MATH
|
[
{
"content": "What is the value at position (1, 4) of the matrix A^4 where A is:\n[[-4, -1, -2, 2],\n [-1, -1, 2, 0],\n [-2, 2, 0, -2],\n [2, 0, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-302
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 1, 0, -2],\n [1, -2, 0, -4],\n [0, 0, -2, 0],\n [-2, -4, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
614
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 1, 1, 0],\n [1, 4, 0, -1],\n [1, 0, -4, -3],\n [0, -1, -3, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-265
|
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, 4, -2],\n [3, -3, 0, 3],\n [-4, 3, 1, -4],\n [4, 2, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1231
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 1, -2, -3],\n [1, -2, -1, 2],\n [-2, -1, -2, -1],\n [-3, 2, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1912
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 4, 1, 1],\n [4, -3, 4, 2],\n [-3, 3, -3, 1],\n [3, -4, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-648
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 0, -2, 3],\n [0, 4, 1, -2],\n [-2, 1, 3, 0],\n [3, -2, 0, -4]], 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^4 where A =\n[[2, -1, -1, 0],\n [-1, 0, 0, 0],\n [-1, 0, 0, 2],\n [0, 0, 2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
797
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 0, -4, 4],\n [2, -3, -4, 4],\n [-1, 0, 2, 0],\n [-3, 3, 3, 2]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-111
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 3, -4, 1],\n [-1, -2, -2, -4],\n [-2, 1, -3, 1],\n [0, -4, 4, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1076
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, 1, 2, -2],\n [1, -1, -2, 1],\n [2, -2, -1, -2],\n [-2, 1, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1611
|
MATH
|
[
{
"content": "Find the value at position (1, 4) of the 3th power of the matrix:\n[[-4, 0, -3, 4],\n [-3, 2, 4, 0],\n [-3, 0, 2, 0],\n [-3, -1, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
180
|
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, 0, 2],\n [-3, -1, 1, -4],\n [0, 0, 1, -2],\n [3, -2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
598
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, 4, 2, 2],\n [4, -4, -2, 3],\n [2, -2, 1, 0],\n [2, 3, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11366
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 0, -3, -2],\n [0, 3, 0, -1],\n [-3, 0, 3, 0],\n [-2, -1, 0, -3]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-513
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -4, 3, 0],\n [1, 3, 3, 4],\n [3, -4, 3, 3],\n [-3, 0, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-481
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 1, -2, 4],\n [-1, 1, -4, -1],\n [1, -3, 4, -3],\n [-1, 2, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7609
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, -1, -2, 4],\n [-1, -1, 1, 0],\n [-2, 1, 2, 2],\n [4, 0, 2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
519
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[-2, 2, -2, 0],\n [2, -4, 0, -2],\n [-2, 0, -3, 2],\n [0, -2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-448
|
MATH
|
[
{
"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[-3, -2, 1, 0],\n [4, -1, -2, 3],\n [-2, 0, -3, 0],\n [-2, -2, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
12
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 0, 1, 0],\n [0, -2, 4, -2],\n [1, 4, 0, 2],\n [0, -2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
43
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, 0, 0, 0],\n [0, 0, 0, 0],\n [0, 0, 3, -3],\n [0, 0, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1874
|
MATH
|
[
{
"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[3, 1, 2, -1],\n [1, -1, 4, -2],\n [2, 4, -4, 0],\n [-1, -2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
394
|
MATH
|
[
{
"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[2, 2, 0, 4],\n [-3, 1, -3, -2],\n [1, -4, 3, 2],\n [-2, -2, -4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
45
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, -1, -4, 3],\n [-3, -4, -2, 2],\n [-3, -3, 2, 4],\n [0, 2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8238
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 3, 4, -2],\n [3, -4, -2, 3],\n [4, 1, 0, 1],\n [2, 0, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1604
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, -4, -2, -1],\n [-4, -2, 4, -2],\n [-1, -3, 4, 0],\n [4, -4, 0, 1]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
308
|
MATH
|
[
{
"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[2, -4, 3, -1],\n [-4, -1, -3, -3],\n [-2, -4, -4, -3],\n [1, 4, 3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
111
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 0, 1, 1],\n [-3, -2, 4, -1],\n [4, -3, 1, 0],\n [3, -2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
262
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 3) of the result:\nA =\n[[4, -3, -2, 1],\n [-3, 2, 2, 2],\n [-2, 2, 1, 0],\n [1, 2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, -4, 2, -1],\n [3, -2, -1, -3],\n [-2, -1, 2, 2],\n [1, -3, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1793
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, -4, -3, 2],\n [-1, -4, 1, -2],\n [-2, 0, -1, 1],\n [-4, 2, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2533
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -1, 2, 2],\n [1, 4, 4, 0],\n [-4, -3, -3, 1],\n [0, 2, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
252
|
MATH
|
[
{
"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[-2, 4, -4, 4],\n [1, -2, 1, -1],\n [-3, 1, -2, 2],\n [-4, 1, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-48
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -3, -3, 4],\n [-4, 2, 3, -2],\n [0, 4, 4, 0],\n [-3, -2, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2122
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 0, -3, 1],\n [1, 3, 2, 3],\n [-1, 3, -3, -4],\n [3, -3, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
552
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 0, 1, 3],\n [0, 2, 0, 2],\n [1, 0, -2, 0],\n [3, 2, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2828
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[-3, -1, 4, 2],\n [-1, -1, 3, 2],\n [4, 3, 0, 0],\n [-1, -3, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1073
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 4, -4, 2],\n [-3, -1, -4, 4],\n [-3, -1, -3, -2],\n [2, -1, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
788
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[-3, 2, 2, -2],\n [2, 3, 0, 3],\n [2, 0, -3, 2],\n [-2, 3, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-44
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[4, 0, -4, 0],\n [0, 4, 0, -2],\n [-4, 0, -2, 2],\n [0, -2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-128
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 0, -2, -2],\n [0, 3, -3, 0],\n [-2, -3, -3, -2],\n [-2, 0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7688
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -2, 3, 0],\n [-3, -1, 4, 0],\n [4, 1, 2, 1],\n [-1, 1, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
757
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -3, 0, -4],\n [2, -2, 3, 2],\n [-1, -3, 3, -3],\n [-4, -3, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
758
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[-1, -1, 0, 4],\n [-1, -3, -2, 2],\n [0, -2, 1, 2],\n [4, 2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
892
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 2, -2, -2],\n [4, -3, -2, -1],\n [2, 0, -1, -4],\n [-1, 2, 4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
213
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 4, 4, 2],\n [2, 3, -3, 4],\n [0, 1, -2, -1],\n [0, 0, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1785
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, -1, -4, -1],\n [1, 4, -2, -3],\n [4, 4, -4, 2],\n [3, 1, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
906
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 3, 3, 4],\n [-4, -4, -4, 3],\n [-3, 3, -3, -4],\n [-3, -4, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6688
|
MATH
|
[
{
"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[4, 4, 0, 0],\n [4, 0, -4, -2],\n [0, -4, 0, -2],\n [0, -2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-328
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -2, 4, -2],\n [1, 2, -3, 0],\n [4, 3, -3, 1],\n [-3, 4, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
27
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 2, 0, 2],\n [2, 0, 0, -2],\n [0, 0, 3, -2],\n [2, -2, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1746
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, -4, 3, -2],\n [-1, 1, -1, 3],\n [-2, -2, 3, 2],\n [-3, 2, -1, 1]], determine the sum of all entries.\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[[-2, -2, -3, -2],\n [-1, -4, 2, 1],\n [-1, 3, 3, 0],\n [1, 4, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3079
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 1) of the result:\nA =\n[[4, 1, 3, 2],\n [0, -1, 1, -4],\n [2, 2, 4, 1],\n [4, -2, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
80
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, -4, -2, -3],\n [0, 1, -3, 1],\n [-3, 1, -3, -4],\n [-3, -4, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
12941
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, -2, -3, 1],\n [-3, 4, 3, -4],\n [1, 0, -4, -3],\n [-2, -4, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1296
|
MATH
|
[
{
"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[-1, -1, 2, -4],\n [-1, 1, -2, 0],\n [2, -2, 4, -2],\n [-4, 0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
728
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 1, -3, -4],\n [1, 1, -2, 4],\n [-1, 0, -1, 3],\n [0, -2, -2, 3]]\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, -4, 4, -1],\n [-4, 3, -4, 2],\n [0, -2, -3, 1],\n [1, -4, 4, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1292
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 2, 0, 0],\n [2, -4, 0, -1],\n [0, 0, 0, 0],\n [0, -1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1041
|
MATH
|
[
{
"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[-1, -1, 3, 3],\n [1, 2, -4, 0],\n [-2, 3, 2, 1],\n [3, 0, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-21
|
MATH
|
[
{
"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[0, 2, 1, -1],\n [-3, 0, 2, 3],\n [3, 0, -3, 4],\n [-1, 1, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-8
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 2, 2, 3],\n [-2, -4, -1, -3],\n [1, 2, -1, -3],\n [1, -3, -2, -2]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
68
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 2, 0, 2],\n [2, -4, 2, 0],\n [0, 2, -1, 2],\n [2, 0, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3026
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, -4, -2, -2],\n [-4, 3, 3, 1],\n [-3, -2, 1, 3],\n [2, -1, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11551
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, -2, -2, 0],\n [-2, 1, 2, 2],\n [-2, 2, 4, 2],\n [0, 2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
663
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 1, 0, -3],\n [2, -1, 1, -4],\n [3, -1, -4, 0],\n [-3, 3, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-52
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, 0, 1, -1],\n [0, -1, 1, 2],\n [1, 1, -2, 0],\n [-1, 2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
312
|
MATH
|
[
{
"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[2, 2, -4, 0],\n [2, 1, 2, 2],\n [-4, 2, -2, 2],\n [0, 2, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
22
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 2, -1, -3],\n [4, 4, -4, -2],\n [-3, 0, -3, -2],\n [-1, 0, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-436
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -4, 4, 4],\n [4, 1, 4, 2],\n [4, 2, 0, -2],\n [2, 3, -4, -2]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
139
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, 0, -1],\n [0, 2, 0, 0],\n [0, 0, -2, -1],\n [-1, 0, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
156
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, 4, 0, 2],\n [4, 4, 0, -2],\n [0, 0, 4, 0],\n [2, -2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4454
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 3, -3, -2],\n [2, 2, 3, 1],\n [3, 2, -4, -1],\n [0, 2, 2, 4]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
26
|
MATH
|
[
{
"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[-4, 3, -3, -4],\n [2, -1, 1, 4],\n [1, -1, 4, -1],\n [0, -3, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 1, 0, 0],\n [1, 3, 0, -2],\n [0, 0, 0, -2],\n [0, -2, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-124
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, -2, 1, 3],\n [1, -2, -2, 4],\n [4, -2, 1, -2],\n [-4, 2, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
93
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 2, -2, 4],\n [2, -4, 2, 2],\n [-1, 0, -2, -1],\n [4, 0, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3846
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -2, 0, -2],\n [-2, -1, 4, 0],\n [0, 4, 1, 0],\n [-2, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
426
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 1, 3, 2],\n [3, 2, -1, 4],\n [2, -3, -4, 4],\n [1, -2, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1669
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 2, 0, -2],\n [2, -3, -2, 0],\n [0, -2, -2, -4],\n [-2, 0, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1339
|
MATH
|
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