messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -2, -1, 3],\n [-1, -4, -4, 0],\n [-4, 0, 3, -4],\n [-1, 4, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-196
|
MATH
|
[
{
"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[-1, 4, 2, 3],\n [4, -2, -2, 3],\n [1, -3, 0, 0],\n [0, 2, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
157
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, 2, -2, -2],\n [2, 3, 1, 0],\n [-2, 1, -1, -2],\n [-2, 0, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
840
|
MATH
|
[
{
"content": "Find the value at position (4, 2) of the 3th power of the matrix:\n[[1, 2, 4, -2],\n [1, 4, 4, -3],\n [0, 2, -2, 3],\n [4, 0, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
152
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -1, 2, 0],\n [-1, -2, -1, 0],\n [2, -1, 1, 1],\n [0, 0, 1, 1]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 0, -3, 4],\n [-1, 2, 3, 3],\n [1, 1, 4, -2],\n [-3, 3, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2190
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, -1, 0, -1],\n [-1, -4, -2, 1],\n [0, -2, 3, 1],\n [-1, 1, 1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
418
|
MATH
|
[
{
"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[-1, 2, 4, 2],\n [2, -2, 2, -3],\n [4, 2, -4, -1],\n [2, -3, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[-2, 0, 2, 0],\n [0, 1, 4, -4],\n [-1, -2, -2, 4],\n [3, -3, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-48
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 0, 2, 0],\n [0, 1, -2, -1],\n [2, -2, -4, 2],\n [0, -1, 2, 1]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-168
|
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, -3, 0],\n [-2, -1, 4, -3],\n [-4, 3, -1, -3],\n [-2, 3, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
670
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -3, -1, 4],\n [-1, 0, -4, 1],\n [0, 0, -4, -2],\n [2, -2, -2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2252
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 0, -3, -1],\n [0, 4, 0, 1],\n [1, -4, 2, 3],\n [-1, 0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
319
|
MATH
|
[
{
"content": "Find the value at position (1, 4) of the 3th power of the matrix:\n[[-2, -4, -2, -2],\n [-4, 2, 0, -2],\n [-2, 0, -4, 2],\n [-2, -2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-48
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 0, 1, 3],\n [-2, -2, -4, -1],\n [-3, 1, -3, -2],\n [-2, -4, -1, -2]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-13
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 2, 2, 2],\n [2, 0, -2, 2],\n [2, -2, -3, 0],\n [2, 2, 0, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
445
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[0, -1, 3, -4],\n [1, -3, -2, 0],\n [3, -1, 4, 2],\n [0, -4, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
75
|
MATH
|
[
{
"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[4, -2, -3, -3],\n [-4, 4, -4, -3],\n [-3, -4, -4, 0],\n [-1, -1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-169
|
MATH
|
[
{
"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[4, 2, 2, 4],\n [-4, -3, 1, 3],\n [4, 4, -4, 0],\n [-1, -1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-140
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 4, 0, -3],\n [-2, 2, 2, 3],\n [-4, 4, -2, 1],\n [2, 4, -4, 1]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
47
|
MATH
|
[
{
"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[2, 3, -2, 2],\n [1, -1, 2, -1],\n [0, 4, 0, -4],\n [0, 3, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-233
|
MATH
|
[
{
"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[-4, 2, -1, 2],\n [2, -3, -2, -2],\n [-1, -2, -4, 2],\n [2, -2, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-46
|
MATH
|
[
{
"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[-1, -4, 0, -1],\n [-4, -4, -1, 0],\n [0, -1, -1, 0],\n [-1, 0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
255
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -3, -1, -2],\n [-3, 4, 2, 1],\n [4, -2, -1, 0],\n [1, 0, -3, -1]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
30
|
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, -2, 3],\n [-1, -1, 4, 3],\n [-2, 4, 4, -2],\n [-1, 2, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10914
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, -2, 0, 0],\n [-2, -4, 2, -4],\n [0, 2, 0, -1],\n [0, -4, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5089
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 4, -1, 0],\n [2, 1, 0, 3],\n [-4, 2, -3, 1],\n [4, -4, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
606
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[-1, -1, 0, 3],\n [2, 3, -2, 4],\n [-2, -1, -4, -3],\n [2, 1, 4, -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, 0, 2, -4],\n [0, 1, 1, 4],\n [2, 1, -1, 2],\n [-4, 4, 2, 3]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
44
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 2, -2, 1],\n [2, -4, -3, 2],\n [-2, -3, -4, 4],\n [1, 2, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3082
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, 2, 0, 0],\n [2, 0, 2, 0],\n [0, 2, -2, -3],\n [0, 0, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3642
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 2, 0, -2],\n [2, 1, -2, 0],\n [0, -2, -4, 2],\n [-2, 0, 2, 1]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-58
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 0, 0, 1],\n [0, 3, -2, 0],\n [0, -2, -2, 0],\n [1, 0, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
247
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, -1, 1, -3],\n [-1, 2, 0, 1],\n [1, 0, -4, 2],\n [-3, 1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
373
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, -3, 1, 0],\n [-3, 0, -4, -2],\n [1, -4, -4, 0],\n [0, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9516
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 1, 3, 0],\n [3, 3, 0, 0],\n [-2, -4, -4, 0],\n [1, -3, -4, 0]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
75
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 0, -4, 0],\n [0, -3, 4, 0],\n [-4, 4, -2, 2],\n [0, 0, 2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
342
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, -3, 1, -1],\n [4, -1, -2, 2],\n [-2, -2, 1, -3],\n [4, -1, -1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
105
|
MATH
|
[
{
"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[-2, -4, 3, 2],\n [-4, -2, 0, -2],\n [3, 0, -3, -2],\n [2, -2, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1341
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 0, 2, 2],\n [0, -1, 2, -2],\n [2, 2, 0, 0],\n [2, -2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-6
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -3, 0, -1],\n [-3, -1, 4, -4],\n [0, 4, 2, 0],\n [-1, -4, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1554
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 3) of the result:\nA =\n[[-2, 1, 4, 3],\n [1, -2, 0, 0],\n [4, 0, -1, 2],\n [3, 0, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
16
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 4, -4, 2],\n [0, -2, 0, 3],\n [0, 3, -1, -4],\n [-2, 1, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-195
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, -1, 4, -2],\n [3, -2, -1, -2],\n [-1, -2, -3, 4],\n [3, -2, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1028
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 2) of the result:\nA =\n[[-2, 0, -4, 4],\n [0, -2, -2, 0],\n [-4, -2, 4, -1],\n [4, 0, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
384
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 2, 0, -2],\n [2, 3, 1, 0],\n [0, 1, -1, -1],\n [-2, 0, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2111
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 0, 2, -2],\n [0, -3, -2, 2],\n [2, -2, -4, 0],\n [-2, 2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6001
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 0, 0, -4],\n [4, 0, 2, 4],\n [-4, -2, -2, -4],\n [4, 0, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-29
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -4, 0, 0],\n [-4, -4, 0, 0],\n [0, 0, -4, 0],\n [0, 0, 0, 3]], determine the value at position (3, 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 absolute values of all entries of the result:\nA =\n[[4, -3, -3, 2],\n [-1, 2, 4, -4],\n [-4, -1, 3, 2],\n [-2, 3, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
12768
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, -1, 0, -4],\n [-1, 1, -2, 0],\n [0, -2, -4, 2],\n [-4, 0, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5994
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, -4, 1, 0],\n [-4, -3, 0, -2],\n [1, 0, 3, 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"
}
] |
6554
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, -2, -2, 2],\n [-2, 4, 2, 0],\n [-2, 2, 2, 2],\n [2, 0, 2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
992
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 3) of the result:\nA =\n[[3, 2, 0, -4],\n [2, 2, -3, 1],\n [0, -3, -4, 2],\n [-4, 1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
152
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, -4, -3, -3],\n [3, -3, 4, 4],\n [1, 0, 1, 0],\n [-2, 2, 2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
504
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 2, 2, 2],\n [2, -4, 0, 0],\n [2, 0, 0, 0],\n [2, 0, 0, -1]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
50
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 2, -2, -2],\n [2, 0, 3, -4],\n [-2, 3, -3, 0],\n [-2, -4, 0, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
24
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 0, -4, 4],\n [0, 3, 4, -4],\n [3, 4, 0, 0],\n [-1, -4, -1, -1]]?\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 3th power of the matrix:\n[[-4, 2, 0, 0],\n [2, 3, -4, 2],\n [0, -4, 1, -2],\n [0, 2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1228
|
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, 4, -4],\n [0, -1, 3, -1],\n [-1, -1, -4, -4],\n [-4, 2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4876
|
MATH
|
[
{
"content": "Find the value at position (1, 4) of the 3th power of the matrix:\n[[3, 3, -3, -2],\n [2, 3, -4, -4],\n [0, 3, -1, 2],\n [3, -1, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-146
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[1, -2, 2, 4],\n [4, 3, -2, 0],\n [3, -4, 2, -3],\n [-3, -4, 0, -1]]\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[[4, -4, -4, 0],\n [-1, 3, 0, -3],\n [0, -3, -2, -3],\n [-1, -1, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3641
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, -2, 1, 0],\n [2, -3, 0, 3],\n [-2, 4, -1, -4],\n [3, -2, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-28
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 2, 0, -2],\n [2, -1, 0, -2],\n [0, 0, 1, -2],\n [-2, -2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-55
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, -4, -1, 0],\n [-4, -1, 0, 0],\n [-1, 0, 3, 0],\n [0, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1561
|
MATH
|
[
{
"content": "What is the value at position (1, 1) of the matrix A^4 where A is:\n[[4, -1, -2, 0],\n [-1, -4, 0, -2],\n [-2, 0, -4, 3],\n [0, -2, 3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
457
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, -2, 4, 2],\n [-2, -2, -1, 4],\n [4, -1, -1, -2],\n [2, 4, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1551
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 0, -2, 1],\n [0, -4, -2, 3],\n [-2, 0, 3, 3],\n [2, 2, -2, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-130
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 0, 1, 0],\n [0, -3, -3, 0],\n [1, -3, -4, 2],\n [0, 0, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7032
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 0, -2, -2],\n [0, 0, 2, 0],\n [-2, 2, 4, 2],\n [-2, 0, 2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4105
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[-2, 3, 4, 4],\n [-1, -4, 3, 1],\n [-4, 3, 3, 0],\n [-1, 3, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6
|
MATH
|
[
{
"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[-1, -2, 0, 0],\n [-2, 2, 0, 0],\n [0, 0, 1, 2],\n [0, 0, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-14
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, -2, 2, 0],\n [-2, -3, 0, -2],\n [2, 0, -3, -1],\n [0, -2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-159
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 4, -1, 1],\n [-3, -1, -3, -3],\n [1, -1, -4, 3],\n [3, 2, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3895
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, -1, 2, -3],\n [0, -4, 0, 1],\n [2, -4, 1, -4],\n [1, -1, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
298
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 3, -2, -1],\n [3, 1, 3, -4],\n [-3, 4, -4, 0],\n [-4, 2, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1860
|
MATH
|
[
{
"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[-1, -4, 1, -2],\n [1, 0, 2, 1],\n [-3, 0, -2, 4],\n [1, -1, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-54
|
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, -1, 0],\n [-2, 2, 0, 1],\n [-1, 0, 2, 0],\n [0, 1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1116
|
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, 0],\n [0, 2, -3, 0],\n [0, -3, -4, -2],\n [0, 0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
455
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 0, 0, -4],\n [0, 2, 0, 3],\n [0, 0, -2, -4],\n [-4, 3, -4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
13105
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 0, 2, 2],\n [0, -3, 0, 0],\n [2, 0, 2, 0],\n [2, 0, 0, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
68
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 4) of the result:\nA =\n[[1, 4, -4, 0],\n [-4, 2, -4, -2],\n [3, 1, 3, -3],\n [3, 3, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-14
|
MATH
|
[
{
"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[3, 2, 0, 3],\n [2, 1, 0, -3],\n [0, 0, 1, 2],\n [3, -3, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-33
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 3, -4, 2],\n [3, -2, 1, -2],\n [-4, 1, -3, -3],\n [2, -2, -3, 4]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
975
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 1, -4, 1],\n [-2, 2, 2, -1],\n [-3, -4, 0, -2],\n [-4, 1, 3, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
441
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[0, -3, 4, 2],\n [-2, -3, 0, 0],\n [0, -3, -4, 2],\n [1, 0, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
54
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -1, -2, -1],\n [1, 2, 1, 2],\n [3, 0, 3, 4],\n [-4, 4, 3, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11250
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -4, -2, 0],\n [-4, -2, 3, 0],\n [-2, 3, -4, -2],\n [0, 0, -2, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2895
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -2, 2, -3],\n [4, -4, 4, -2],\n [2, 2, 2, -1],\n [-3, 1, 4, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1294
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, 3, -2, -2],\n [3, 1, 4, 2],\n [-2, 4, 0, 4],\n [-2, 2, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
19209
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, 4, -3, 3],\n [-3, -1, 1, 1],\n [-1, 4, -3, 0],\n [-2, -4, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1700
|
MATH
|
[
{
"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[0, 1, -2, 0],\n [1, 4, 4, 0],\n [-2, 4, 2, 2],\n [0, 0, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
216
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, -1, 2, -1],\n [-3, -1, 3, 1],\n [-1, -1, 3, -2],\n [-3, -1, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1371
|
MATH
|
[
{
"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[-4, -2, 0, -2],\n [-2, -2, -2, 1],\n [0, -2, -3, 4],\n [-2, 1, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-8
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 3, -1, 3],\n [4, 1, -4, 0],\n [-3, 1, -3, -2],\n [2, 2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
345
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 1, 0, 0],\n [1, 3, 0, -2],\n [0, 0, 3, 0],\n [0, -2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
158
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 4, 4, -2],\n [2, -2, 0, -3],\n [2, -4, -1, 3],\n [4, 2, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-108
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 0, 0, 0],\n [0, 0, 4, -4],\n [0, 4, -2, -1],\n [0, -4, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
685
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 0, 4, 2],\n [0, -2, 3, 1],\n [0, 2, 1, -2],\n [-4, 4, 2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
347
|
MATH
|
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