messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -4, 3, 0],\n [-4, -4, 0, 3],\n [0, 4, -2, -4],\n [3, -3, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2400
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -2, -1, 0],\n [4, 3, 1, 1],\n [0, -4, -2, 1],\n [-1, -2, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
404
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -2, 0, 2],\n [-2, 1, 3, 2],\n [0, 3, 3, 0],\n [2, 2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
783
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, -2, 4, 0],\n [-2, 3, 2, 0],\n [-2, 0, -4, -2],\n [3, -4, -1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
73
|
MATH
|
[
{
"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[1, 1, -2, 4],\n [-3, 0, 0, -1],\n [-3, 1, 3, 0],\n [-4, 2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
103
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 2, 0, 0],\n [2, -3, 3, 2],\n [0, 3, -3, -1],\n [0, 2, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-91
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 2, 0, 2],\n [2, -3, -2, -1],\n [0, -2, 3, -4],\n [2, -1, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-122
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 4, -2, 3],\n [0, 2, 0, -2],\n [-3, 3, 1, -2],\n [-4, -3, 3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
427
|
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, 2, 1],\n [-3, -1, -4, 1],\n [-3, 3, 2, -1],\n [-3, 3, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
596
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 0, -2, 0],\n [0, 2, -1, -1],\n [-2, -1, -2, 0],\n [0, -1, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
254
|
MATH
|
[
{
"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[1, 0, 0, -1],\n [0, 2, -2, -4],\n [0, -2, 3, 0],\n [-1, -4, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-812
|
MATH
|
[
{
"content": "Find the value at position (3, 4) of the 3th power of the matrix:\n[[-3, 2, -2, 0],\n [2, -3, 1, 0],\n [-2, 1, 3, 0],\n [0, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, -4, 0, 0],\n [-4, 3, 0, 0],\n [0, 0, -2, -2],\n [0, 0, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5314
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, -2, 0, 1],\n [-2, -3, 0, 1],\n [0, 0, -2, -2],\n [1, 1, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1306
|
MATH
|
[
{
"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[-4, 4, 1, 4],\n [0, -4, -3, -4],\n [-2, -2, 4, 3],\n [-1, 3, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-14
|
MATH
|
[
{
"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[4, 0, 1, -1],\n [1, -3, -4, 2],\n [-4, -3, 4, 3],\n [4, 2, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
346
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 0, -2, -4],\n [0, 4, 0, 2],\n [-2, 0, 4, 0],\n [-4, 2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4341
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 2, -2, 0],\n [2, 2, -2, -2],\n [-2, -2, -3, -3],\n [0, -2, -3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2769
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, 1, -1, -1],\n [-1, -4, 0, 4],\n [-1, 0, 2, 1],\n [2, 4, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11317
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -3, 0, -2],\n [-3, -3, -2, -2],\n [0, -2, 2, 4],\n [-2, -2, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
91
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 1, 1, 2],\n [1, -2, 2, 1],\n [1, 2, -2, 0],\n [2, 1, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
296
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, -4, -2, 1],\n [2, -3, -1, 0],\n [4, 4, 0, 0],\n [-1, 1, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-497
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 2, 2, 0],\n [-3, 4, -2, -3],\n [2, 4, 3, 0],\n [-2, -4, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6116
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, -1, -2, 0],\n [-1, 1, -2, 2],\n [-2, -2, -4, 2],\n [0, 2, 2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5013
|
MATH
|
[
{
"content": "What is the value at position (1, 4) of the matrix A^3 where A is:\n[[-3, -2, -3, 3],\n [1, -2, 3, 0],\n [3, 2, 0, 1],\n [1, 3, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
12
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[2, 2, 3, 3],\n [-4, -2, 3, 1],\n [-2, -2, 2, -2],\n [-4, -3, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
81
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 0, -2, 4],\n [0, 2, -2, 0],\n [-2, -2, -1, 2],\n [4, 0, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7218
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 0, -4, -1],\n [1, 4, -1, -4],\n [-1, 0, 0, 2],\n [1, 2, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-316
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 0, 1, -1],\n [0, 1, -2, 2],\n [1, -2, 0, 2],\n [-1, 2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
153
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 4) of the result:\nA =\n[[4, 1, 0, 4],\n [3, -3, -1, -3],\n [-3, 2, 3, 0],\n [-4, -2, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
33
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -2, 0, -2],\n [-2, -2, 2, 3],\n [0, 2, -2, 0],\n [-2, 3, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-50
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 4, -1, -1],\n [0, -4, -4, -1],\n [-1, 3, -2, -3],\n [-3, 3, -2, -2]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
397
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 3, 0, 0],\n [3, 0, -2, -2],\n [2, -4, 4, -2],\n [3, 1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2658
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -1, 0, 2],\n [-1, 4, -2, 2],\n [0, -2, 0, 1],\n [2, 2, 1, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
54
|
MATH
|
[
{
"content": "What is the value at position (4, 3) of the matrix A^4 where A is:\n[[-2, 0, -3, -1],\n [-3, 3, -1, -2],\n [0, -4, -3, 4],\n [-4, 4, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
217
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -2, 1, 2],\n [-2, -2, 0, 0],\n [1, 0, 3, -2],\n [2, 0, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-149
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, -2, -4, 3],\n [1, -4, 2, 3],\n [-4, 3, 2, -3],\n [0, 3, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-38
|
MATH
|
[
{
"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[1, -2, -2, -2],\n [-2, -1, -1, 1],\n [-2, -1, 0, 0],\n [-2, 1, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
66
|
MATH
|
[
{
"content": "Find the value at position (2, 2) of the 4th power of the matrix:\n[[2, -4, 4, 3],\n [-2, 2, -4, -3],\n [-1, 3, -3, -1],\n [2, -4, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
300
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -3, 0, 1],\n [-3, 0, 4, 2],\n [0, 4, 2, -1],\n [1, 2, -1, -2]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
63
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 1, -2, 0],\n [1, -4, 2, 0],\n [-2, 2, 1, -2],\n [0, 0, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-31
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -2, 0, -1],\n [-2, 3, 0, 0],\n [0, 0, 3, -2],\n [-1, 0, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1258
|
MATH
|
[
{
"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[-2, -3, -2, -1],\n [2, -1, 3, 1],\n [1, -1, -4, 4],\n [1, -2, -4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
27
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 2, 2, 2],\n [2, -4, 0, -1],\n [2, 0, -4, 2],\n [2, -1, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8681
|
MATH
|
[
{
"content": "What is the value at position (4, 3) of the matrix A^4 where A is:\n[[1, 0, 0, -2],\n [0, -1, 2, 2],\n [0, 2, -2, -2],\n [-2, 2, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
804
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 0, 2, 1],\n [0, 0, 2, -2],\n [2, 2, -1, 1],\n [1, -2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1886
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[-2, -3, 0, -2],\n [-3, 0, -1, -1],\n [0, -1, 2, 0],\n [-2, -1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-76
|
MATH
|
[
{
"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[-2, 3, 0, -3],\n [3, 4, -3, -1],\n [0, -3, -2, 2],\n [-3, -1, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
210
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, 1, 2, 1],\n [1, -3, -4, -4],\n [2, -4, -1, 2],\n [1, -4, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6698
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 3, 4, -1],\n [-3, 3, 4, 0],\n [0, -1, 3, 2],\n [-4, 2, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-157
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 2, 2, 0],\n [2, 2, 2, 0],\n [2, 2, -1, 0],\n [0, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
341
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, 0, 3, -1],\n [1, -4, 0, -1],\n [2, -4, 0, -4],\n [-3, 1, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-341
|
MATH
|
[
{
"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[-4, 4, -1, 1],\n [4, 3, 3, -1],\n [4, -2, -3, -1],\n [-3, -2, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-743
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 4, 2, 1],\n [4, -1, 0, 4],\n [2, 0, -1, -2],\n [1, 4, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1578
|
MATH
|
[
{
"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[0, 0, 0, 2],\n [0, 0, 0, -4],\n [0, 0, 0, 0],\n [2, -4, 0, 1]]\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[[3, -1, -3, 2],\n [3, 0, 2, 3],\n [-2, 3, -1, 0],\n [0, 3, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4357
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -1, -3, -2],\n [3, -4, 3, -2],\n [3, 2, 0, 0],\n [2, 4, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-255
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 1, 0, 4],\n [-1, 2, 1, 1],\n [-1, 2, -4, 2],\n [-2, -4, 2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
624
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 0, -3, 4],\n [2, 1, 4, 4],\n [2, 2, 2, 0],\n [2, -3, 3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
528
|
MATH
|
[
{
"content": "Find the value at position (4, 2) of the 3th power of the matrix:\n[[1, 3, -4, 4],\n [4, 1, -2, -2],\n [0, -1, -2, 0],\n [1, -3, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-101
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, -3, -4, -1],\n [-4, -4, -4, 0],\n [2, 0, 3, 1],\n [-1, -2, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3294
|
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, 0],\n [-2, 3, 0, 2],\n [2, 0, -3, 0],\n [0, 2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2159
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -2, 0, -1],\n [2, 4, 1, -1],\n [1, -1, -2, 2],\n [2, -1, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
372
|
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, 2],\n [-2, -2, 0, 1],\n [-2, 0, -3, 4],\n [2, 1, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
14606
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, -2, 2, 0],\n [-2, 2, 0, -2],\n [2, 0, -3, -4],\n [0, -2, -4, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-468
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -2, 0, 0],\n [-2, 2, -3, 1],\n [0, -3, 1, 0],\n [0, 1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-49
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 0, -2, 4],\n [0, -2, 0, -1],\n [-2, 0, -3, 0],\n [4, -1, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-124
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, -2, -4, 0],\n [-2, 4, 2, -4],\n [-4, 2, -2, 2],\n [0, -4, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4640
|
MATH
|
[
{
"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[-4, 4, 4, 2],\n [-4, -1, 3, -2],\n [-2, 3, -1, -4],\n [-3, -2, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
192
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 3, 0, -4],\n [-1, 0, 3, 1],\n [-2, 2, -2, -1],\n [2, 1, -3, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
452
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, -2, 0, 0],\n [-2, -4, -2, 2],\n [0, -2, 3, -4],\n [0, 2, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-196
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, -1, 2, -2],\n [-1, 0, -3, -1],\n [1, 0, -4, 0],\n [4, -4, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4587
|
MATH
|
[
{
"content": "Find the value at position (2, 2) of the 4th power of the matrix:\n[[-4, 2, 0, -1],\n [2, 3, 1, 0],\n [-3, 3, 1, -4],\n [3, 1, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
303
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, -4, 4, 3],\n [0, -1, 3, 3],\n [2, 1, -2, -2],\n [-4, -1, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1663
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 0, 1, -2],\n [3, 4, -4, 0],\n [4, -2, 4, -3],\n [4, -1, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8970
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 4, -2, -2],\n [3, 2, 3, 2],\n [3, 3, 1, 1],\n [0, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6354
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, -4, -2, 0],\n [-4, 2, 0, -2],\n [-2, 0, 2, -2],\n [0, -2, -2, 3]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
996
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, 1, -3, -4],\n [0, -4, 0, -2],\n [-1, -3, 4, 4],\n [-3, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1735
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, -3, 1, -2],\n [-3, -2, 2, 2],\n [-3, 3, 3, 1],\n [-4, -4, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1228
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -1, -4, 0],\n [-2, 1, 0, -1],\n [3, 2, 4, -4],\n [2, -3, -1, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
114
|
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, -2, -1],\n [0, 3, -3, -1],\n [0, -1, 3, -1],\n [-4, 3, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
760
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, -2, -2, 0],\n [-2, -2, 2, 0],\n [-2, 2, 0, -1],\n [0, 0, -1, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
833
|
MATH
|
[
{
"content": "Find the value at position (4, 4) of the 3th power of the matrix:\n[[-2, 0, 0, -1],\n [0, 0, 0, -2],\n [0, 0, 4, 0],\n [-1, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-30
|
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, 3, -4],\n [1, -1, 2, 4],\n [-3, -1, -3, 0],\n [-3, -3, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1176
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 1, 1, 1],\n [-4, 0, 4, -3],\n [1, 0, 0, 0],\n [-1, -3, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1163
|
MATH
|
[
{
"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[3, -4, -1, -2],\n [-2, 3, 3, 0],\n [-4, -3, 0, -4],\n [4, 2, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-435
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, -3, 0, -4],\n [-3, -2, 0, 0],\n [0, 0, -2, 0],\n [-4, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2830
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, -1, -4, 3],\n [3, -3, 1, 3],\n [-1, -1, 4, 0],\n [3, 1, 2, -3]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-67
|
MATH
|
[
{
"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[2, 2, 2, -2],\n [2, 2, 1, -3],\n [3, 1, 3, -1],\n [3, -4, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
706
|
MATH
|
[
{
"content": "What is the value at position (1, 1) of the matrix A^4 where A is:\n[[-1, -2, -3, -2],\n [-2, -1, -3, 0],\n [-3, -3, 1, 0],\n [-2, 0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
545
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[1, 0, -4, 2],\n [0, -3, 1, 2],\n [-4, 1, -1, -1],\n [2, 2, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
93
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 0, 4, -3],\n [-4, -3, -3, 1],\n [2, -2, -3, 0],\n [3, -3, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-350
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -1, 0, -1],\n [-1, 4, -1, 2],\n [0, -1, -4, 0],\n [-1, 2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
121
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 0, 2, 0],\n [0, -1, 0, 1],\n [2, 0, 4, -1],\n [0, 1, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1918
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 0, 2, -1],\n [-3, 4, -1, 4],\n [4, -3, -2, -4],\n [-4, -4, 3, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-48
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 4, 2, -2],\n [3, -4, 0, 3],\n [-4, 2, -3, 0],\n [0, 4, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
14580
|
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, 0, -3],\n [4, -1, 0, -2],\n [0, 0, 0, 0],\n [-3, -2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6051
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, -3, 1, 4],\n [-2, 1, -1, 4],\n [3, 1, -4, 0],\n [-1, 4, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-442
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 2, -3, 3],\n [1, 2, -4, 3],\n [-3, -4, 1, -2],\n [4, 4, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8809
|
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, -2, 1],\n [1, 3, 0, 2],\n [-2, 0, -4, 0],\n [1, 2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2986
|
MATH
|
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