messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, -2, 4, -2],\n [-2, 2, 2, 0],\n [4, 2, 1, -1],\n [-2, 0, -1, -2]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-42
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, -2, 0, 2],\n [-2, 3, 0, -1],\n [0, 0, 2, -2],\n [2, -1, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
544
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -4, 3, 0],\n [-1, -2, 4, 1],\n [2, -1, 3, -3],\n [-1, -3, 3, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1127
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, -2, -2, 1],\n [-2, 2, 1, 3],\n [-2, 1, 0, 2],\n [1, 3, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8161
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, -1, 2, -3],\n [-1, -1, -2, 1],\n [2, -2, -1, 0],\n [-3, 1, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
281
|
MATH
|
[
{
"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[0, -1, -1, -1],\n [-2, 2, 0, -4],\n [0, 4, -3, 4],\n [0, -1, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
14
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[4, 0, -2, 2],\n [-1, -1, 0, 1],\n [0, -4, 0, 0],\n [0, -2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
36
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -3, 2, 0],\n [0, 0, -4, 1],\n [3, -3, -3, -2],\n [4, 1, 1, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
710
|
MATH
|
[
{
"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[0, 0, -2, -1],\n [1, 2, 1, -1],\n [-4, 2, 1, 4],\n [3, -3, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
170
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -4, 0, -1],\n [2, -1, -4, 0],\n [4, -4, -4, -2],\n [-4, -4, -1, -2]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-226
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 0, -2, -2],\n [0, 3, 2, 2],\n [-2, 2, 1, 2],\n [-2, 2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5415
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -1, 2, -4],\n [-2, 1, -3, 0],\n [4, 3, 0, -4],\n [2, -4, -4, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7191
|
MATH
|
[
{
"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[2, -4, 2, 3],\n [-3, -1, 2, 2],\n [-4, -2, -2, 4],\n [1, -3, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-108
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 1, 0, 2],\n [1, -2, 2, -1],\n [0, 2, 1, 0],\n [2, -1, 0, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-37
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 3, 4, -1],\n [-1, 4, -2, 3],\n [3, 0, -4, 2],\n [-2, -1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-62
|
MATH
|
[
{
"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[2, -2, 0, -1],\n [-2, 1, -1, 2],\n [0, -1, -4, -2],\n [-1, 2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-43
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 1, 3, 1],\n [3, -2, 3, -4],\n [1, 0, 4, 1],\n [-2, 2, 3, 0]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
47
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 0, 0, 0],\n [0, 2, 0, 1],\n [0, 0, 2, 0],\n [0, 1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
63
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 2, 4, 3],\n [0, 2, -4, 4],\n [-4, -2, 2, 0],\n [3, 4, 0, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10847
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 0, -2, 0],\n [0, -4, 0, 0],\n [-2, 0, -1, 0],\n [0, 0, 0, -2]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
29
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 0, 3, -3],\n [0, 2, 0, 0],\n [3, 0, 1, 0],\n [-3, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
587
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, -4, -2, 4],\n [4, -3, 0, -4],\n [2, 4, 4, 1],\n [3, -1, -3, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-3205
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 2, -2, 1],\n [-3, -3, -4, -1],\n [1, 2, 0, 2],\n [-1, -1, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
358
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 4, 2, 3],\n [2, -1, -2, -3],\n [0, 3, -4, -4],\n [-2, 4, -3, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
385
|
MATH
|
[
{
"content": "What is the value at position (3, 2) of the matrix A^4 where A is:\n[[-1, 2, -4, -1],\n [2, 1, -2, 0],\n [-4, -2, -1, -2],\n [-1, 0, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-204
|
MATH
|
[
{
"content": "Find the value at position (4, 2) of the 3th power of the matrix:\n[[4, 0, 2, 0],\n [0, 0, 2, 2],\n [2, 2, 1, 0],\n [0, 2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
24
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 3, -3, -1],\n [-3, 1, -1, -3],\n [2, 3, 2, -4],\n [1, 1, -2, 2]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
376
|
MATH
|
[
{
"content": "Find the value at position (4, 3) of the 3th power of the matrix:\n[[0, 1, -2, 0],\n [1, -2, -1, 0],\n [-2, -1, 3, -2],\n [0, 0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-72
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, -2, 1, 0],\n [-2, -3, 0, 2],\n [1, 0, -3, -2],\n [0, 2, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5475
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 1, -2, 2],\n [1, 0, -2, 0],\n [-2, -2, -4, -2],\n [2, 0, -2, 4]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-62
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[-3, 0, 0, 0],\n [0, 2, 0, 0],\n [0, 0, 2, 2],\n [0, 0, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-27
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, -3, 4, -1],\n [1, 3, -3, 2],\n [-3, -3, -2, 4],\n [-4, -3, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-929
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 0, 3, -3],\n [1, 0, 1, 4],\n [-3, 0, -3, -3],\n [0, -3, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1268
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 0, 4, 1],\n [0, 1, 4, 0],\n [4, 4, 0, 2],\n [1, 0, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1291
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 3, 2, -2],\n [1, -3, 4, -2],\n [-1, 1, 3, 4],\n [-1, -3, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
972
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, -3, -2, -4],\n [-4, 1, 2, -3],\n [3, -2, -3, -2],\n [4, 2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1219
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 2, 2, -1],\n [2, -3, -2, 0],\n [2, -2, -2, 2],\n [-1, 0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4082
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -3, -3, 2],\n [1, -1, 4, -2],\n [-2, -4, -1, 4],\n [1, 4, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
40
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 3) of the result:\nA =\n[[3, 3, 0, 2],\n [3, -4, -2, 0],\n [0, -2, -1, 0],\n [2, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-12
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 1, -4, -1],\n [-4, -2, 0, -2],\n [4, 2, 2, -4],\n [4, 4, -4, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1179
|
MATH
|
[
{
"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[0, 0, -2, 2],\n [0, 4, 0, 1],\n [-2, 0, -4, 0],\n [2, 1, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-24
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -1, -2, 0],\n [0, -3, -3, 3],\n [-3, 4, 4, -3],\n [-2, 0, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
501
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, -1, 1, -3],\n [0, 2, 0, 4],\n [-3, 1, 1, -4],\n [1, -1, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
150
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -3, 3, 0],\n [-1, -3, -3, 2],\n [-1, 1, -4, 1],\n [1, 3, 1, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5994
|
MATH
|
[
{
"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[-2, 4, 1, 4],\n [2, 4, 2, 1],\n [3, -3, -3, -4],\n [0, 4, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
241
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 1, 2, 3],\n [-3, -3, -2, 3],\n [-4, 3, 3, 0],\n [-4, -1, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-444
|
MATH
|
[
{
"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[2, 0, -2, 1],\n [0, 0, -2, -1],\n [-2, -2, -4, 2],\n [1, -1, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-386
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 2, 0, 0],\n [2, 0, 2, 0],\n [0, 2, 2, 0],\n [0, 0, 0, 0]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 0, -2, 0],\n [0, 1, -3, 2],\n [-2, -3, -4, 0],\n [0, 2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1124
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 3, 4, 4],\n [3, -4, 4, -1],\n [-3, 4, 1, -3],\n [1, -1, 1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-175
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, -2, -2, -2],\n [-2, -4, 2, -2],\n [-2, 2, 0, 4],\n [-2, -2, 4, 1]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
120
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 3, -2, -3],\n [-1, -4, -1, 1],\n [0, 4, 1, -3],\n [-2, -2, -3, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1452
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 2, 2, 3],\n [2, -4, 2, 2],\n [2, 2, -4, -4],\n [3, 2, -4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3737
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 0, -4, -1],\n [0, 1, 0, 0],\n [-4, 0, 0, 2],\n [-1, 0, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3414
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, -3, 0, 3],\n [-3, 3, -1, -2],\n [0, -1, 2, -2],\n [3, -2, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1177
|
MATH
|
[
{
"content": "Find the value at position (3, 4) of the 3th power of the matrix:\n[[-3, 2, 0, -3],\n [-2, 1, 0, 4],\n [2, -1, 4, 2],\n [3, 3, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
30
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 0, 0, 0],\n [0, 1, -2, -2],\n [0, -2, -4, 0],\n [0, -2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2201
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 1, 2, 4],\n [1, -4, 0, -2],\n [2, 0, -2, 2],\n [4, -2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-52
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, -2, 2, 0],\n [4, -4, -3, 2],\n [2, 3, 2, -2],\n [2, -2, -3, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2521
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[0, 2, 4, 1],\n [2, 4, 1, -2],\n [4, 1, -1, 0],\n [1, -2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
54
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 0, -3, 0],\n [0, 3, 1, -2],\n [-3, 1, -3, 2],\n [0, -2, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
410
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 4, 1, 0],\n [3, 0, 3, 2],\n [4, 3, 4, -1],\n [-2, -4, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8128
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 4, 1, -3],\n [-2, -1, -3, -1],\n [-1, 2, -1, 3],\n [-3, 4, 0, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2217
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 0, 0, 2],\n [0, 4, 4, 0],\n [0, 4, -4, -2],\n [2, 0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3008
|
MATH
|
[
{
"content": "What is the value at position (4, 2) of the matrix A^3 where A is:\n[[-2, -1, 0, 1],\n [-3, 2, 2, -1],\n [-1, 4, 3, 4],\n [2, 0, -1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-45
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 1) of the result:\nA =\n[[-2, -1, 2, -4],\n [2, 4, -4, -1],\n [3, 2, -4, -3],\n [2, -3, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-146
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, 3, 0],\n [0, 0, -2, 0],\n [3, -2, 4, -4],\n [0, 0, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10605
|
MATH
|
[
{
"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[-1, 3, -3, -3],\n [4, -4, -2, 2],\n [-3, 2, 0, 3],\n [0, -4, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
198
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, -3, -2, -1],\n [2, -4, -3, -4],\n [3, 0, 4, -1],\n [-3, 1, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-392
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 4, -4, 1],\n [2, -1, -1, -2],\n [0, -1, -3, -1],\n [-1, -4, 2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-79
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 0, -1, 1],\n [0, 0, 2, 4],\n [-1, 2, 2, -3],\n [1, 4, -3, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4531
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[3, 4, -3, -1],\n [4, 1, -4, 0],\n [4, -4, 0, 2],\n [0, -1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
55
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 2, -2, 0],\n [-2, 1, -1, 3],\n [2, 2, 1, -1],\n [1, -4, -2, 3]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
220
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 1, -1, -3],\n [-4, 2, -1, -3],\n [3, -3, -3, -4],\n [-2, -4, -4, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
20860
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 2, 2, 0],\n [2, -4, 0, -1],\n [2, 0, 0, 0],\n [0, -1, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
595
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, -2, -1, 4],\n [4, 3, 4, 1],\n [0, 4, 2, 0],\n [2, -4, -3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1319
|
MATH
|
[
{
"content": "Find the value at position (2, 3) of the 4th power of the matrix:\n[[-3, -3, 4, -3],\n [-3, -4, 4, 3],\n [4, -3, 2, 0],\n [-3, -2, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-913
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 2, -2, 0],\n [2, 4, 0, -2],\n [-2, 0, 0, -3],\n [0, -2, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
248
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, -2, 0, 2],\n [-2, 2, 0, 0],\n [0, 0, 2, 2],\n [2, 0, 2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
200
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, -2, 2, 0],\n [-2, 2, 2, -2],\n [2, 2, -3, 0],\n [0, -2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
14
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -1, -1, -2],\n [-1, -4, 0, -1],\n [-1, 0, -1, -2],\n [-2, -1, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
487
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 2, -2, 2],\n [4, -3, 0, -2],\n [3, 4, 4, 2],\n [-3, 3, -3, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
908
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, -4, 3, 3],\n [-2, 1, -2, 0],\n [-1, -4, -4, 1],\n [4, -4, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6833
|
MATH
|
[
{
"content": "Find the value at position (1, 4) of the 3th power of the matrix:\n[[3, -4, 1, -4],\n [0, 1, -1, -2],\n [0, -2, 3, -1],\n [4, 1, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-10
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[1, -2, 0, 0],\n [-2, 0, 4, 3],\n [0, 4, -1, 3],\n [0, 3, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-18
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -2, 0, 0],\n [-2, 4, 0, 2],\n [0, 0, -4, 0],\n [0, 2, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1762
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, 1, -1, 2],\n [1, 2, -2, 0],\n [-1, -2, 3, -2],\n [2, 0, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3858
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 2, 0, 2],\n [4, -3, 4, 0],\n [4, -2, -4, 4],\n [-1, 2, 2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9647
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, -2, 0, -1],\n [-2, 2, 2, 2],\n [0, 2, 2, 0],\n [-1, 2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3458
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[-1, -4, 2, 2],\n [4, 4, 3, 1],\n [0, 1, -3, 3],\n [3, -3, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-22
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 2, -2, 4],\n [2, -1, 1, -4],\n [-2, 1, 1, 2],\n [4, -4, 2, 2]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-110
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 0, 0, -1],\n [0, -4, 0, -2],\n [0, 0, -1, 0],\n [-1, -2, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-109
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, -2, -4, -2],\n [-2, 4, -2, 2],\n [-4, -2, -3, 3],\n [-2, 2, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10641
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, -1, 4, 2],\n [-1, 3, -1, -3],\n [4, -1, 3, -2],\n [2, -3, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
13668
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 1, -1, -2],\n [1, 0, -2, 1],\n [-1, -2, -4, 0],\n [-2, 1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-196
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 1, 4, 0],\n [2, 1, 2, -4],\n [3, -3, 2, 1],\n [3, 2, 2, 4]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
777
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -1, 3, 3],\n [-3, -4, 4, -2],\n [-1, -3, 1, -1],\n [-4, 2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3462
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 4, -3, -1],\n [4, 1, 2, 1],\n [0, -1, -1, 4],\n [-3, 3, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
707
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, -2, -3, 2],\n [4, 4, 4, -4],\n [1, 1, -1, -3],\n [-1, 3, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-221
|
MATH
|
[
{
"content": "Find the value at position (4, 2) of the 4th power of the matrix:\n[[-1, -2, -4, -2],\n [-1, -3, -3, 1],\n [-1, 4, 1, 4],\n [1, 1, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
108
|
MATH
|
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