messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 3, -1, 2],\n [3, 1, -2, 2],\n [-1, -2, 1, 2],\n [2, 2, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
718
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -4, 3, 1],\n [0, -2, -4, -4],\n [-3, 0, -2, -1],\n [-2, -3, 2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-689
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -1, -4, -1],\n [2, 0, -2, -2],\n [3, -1, -2, 4],\n [-2, 0, -1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
459
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 1, 2, -1],\n [1, -1, -2, 2],\n [2, -2, 2, 0],\n [-1, 2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
399
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 0, 2, 1],\n [0, -4, 1, -1],\n [2, 1, 4, -2],\n [1, -1, -2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2562
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 0, 0, -2],\n [0, -2, -2, -2],\n [0, -2, -2, 0],\n [-2, -2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4037
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -1, -2, 1],\n [-2, -1, 2, 2],\n [4, 3, 3, -3],\n [4, 1, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2394
|
MATH
|
[
{
"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[-1, 2, -1, 2],\n [-1, -3, -2, -1],\n [-3, 4, -1, -4],\n [-4, 1, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-246
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 1, -1, 2],\n [-3, 0, 3, 4],\n [0, 4, 0, 3],\n [4, -2, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
318
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 2, 0, 2],\n [2, 3, -1, 4],\n [0, -1, -2, 4],\n [2, 4, 4, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1166
|
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, -1, 4],\n [4, 0, 0, 1],\n [-1, 0, -2, 2],\n [4, 1, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
13675
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 2, 4, -4],\n [1, -3, 2, -1],\n [0, 4, -1, 3],\n [-2, 1, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
82
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 0, -2, 3],\n [0, -3, 0, 0],\n [-2, 0, 0, -2],\n [3, 0, -2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1683
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[4, 0, 0, 0],\n [0, 4, 0, 2],\n [0, 0, 4, -2],\n [0, 2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
176
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 1) of the result:\nA =\n[[0, -2, -4, 1],\n [-2, 1, 0, 0],\n [-4, 0, 0, -2],\n [1, 0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
184
|
MATH
|
[
{
"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[-4, 0, -3, 3],\n [4, 2, -4, -1],\n [3, -1, 4, 2],\n [4, 0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
128
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -2, 2, -2],\n [-2, -3, -1, 0],\n [2, -1, 4, 1],\n [-2, 0, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4341
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, -1, -2, 0],\n [-1, -1, -2, -2],\n [-2, -2, 2, 0],\n [0, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2160
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -2, -3, 1],\n [4, 1, 2, 4],\n [1, 0, -2, -1],\n [-4, 0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
90
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -1, -4, 2],\n [3, 4, -3, 1],\n [1, -4, -4, 1],\n [-4, -3, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
937
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -2, 4, 0],\n [-2, -3, 0, -1],\n [4, 0, 2, 2],\n [0, -1, 2, -1]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
128
|
MATH
|
[
{
"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[-2, -2, -2, -2],\n [-2, 4, 2, -4],\n [-2, 2, -1, 2],\n [-2, -4, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
58
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -4, -1, -1],\n [-4, -3, 1, -2],\n [-1, 1, 4, 0],\n [-1, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1116
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, -2, 1, -2],\n [-2, -4, 1, -2],\n [1, -4, -3, -1],\n [-4, 1, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4252
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, -2, 0, -1],\n [-2, -3, 0, -2],\n [0, 0, -3, 0],\n [-1, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2540
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 0, -3, 0],\n [0, 3, 2, 2],\n [-3, 2, -3, -3],\n [0, 2, -3, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5915
|
MATH
|
[
{
"content": "What is the value at position (4, 4) of the matrix A^3 where A is:\n[[0, -1, -3, 0],\n [2, -3, 3, -2],\n [4, 1, 0, -2],\n [4, 4, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-17
|
MATH
|
[
{
"content": "What is the value at position (2, 2) of the matrix A^4 where A is:\n[[-2, -1, -2, 0],\n [4, 1, 1, -4],\n [0, 3, 0, -4],\n [1, -1, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
91
|
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, -4, -4],\n [-3, -2, 0, 4],\n [-4, -4, -1, -3],\n [0, 1, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
830
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, 0, 2, -2],\n [0, -3, 0, 3],\n [2, 0, -3, 3],\n [-2, 3, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7079
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 0, 0, 0],\n [0, 1, -1, -1],\n [0, -1, -1, 0],\n [0, -1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
315
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 0, 0, 2],\n [0, 3, -1, -2],\n [0, -1, 1, -4],\n [2, -2, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
862
|
MATH
|
[
{
"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[1, 0, 0, 0],\n [0, -4, -1, 1],\n [0, -1, -3, -3],\n [0, 1, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-36
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 0, 2, 1],\n [0, 1, 0, 1],\n [2, 0, 3, -1],\n [1, 1, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
408
|
MATH
|
[
{
"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[-2, -1, 0, -3],\n [-1, 0, 4, 0],\n [0, 4, -3, 0],\n [-3, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
20
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, -2, -1, 0],\n [-2, -3, -2, -2],\n [-1, -2, -1, 2],\n [0, -2, 2, -3]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
557
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 1, 4, 3],\n [2, -2, -3, 1],\n [3, -3, -4, 1],\n [1, -2, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3264
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, -2, 1, 1],\n [-2, 4, 0, 0],\n [1, 0, 1, 2],\n [1, 0, 2, 1]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-514
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 0, 1, 0],\n [0, -2, -1, 2],\n [1, -1, -4, 0],\n [0, 2, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
572
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -2, 0, -1],\n [-2, -2, -2, 0],\n [0, -2, -3, -3],\n [-1, 0, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
694
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 0, 1, -2],\n [0, -4, 0, 0],\n [1, 0, 0, 0],\n [-2, 0, 0, 3]]\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[[-4, -1, -2, -1],\n [-1, 3, 0, -2],\n [-2, 0, 4, 0],\n [-1, -2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2317
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, -2, -2, -3],\n [-2, 2, 4, 0],\n [-1, 2, -1, 3],\n [2, -1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
413
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, -1, 2, 0],\n [-1, 2, 0, -2],\n [2, 0, -2, -2],\n [0, -2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2062
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 0, -2, -4],\n [0, 0, 2, -3],\n [-2, 2, 1, 2],\n [-4, -3, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-306
|
MATH
|
[
{
"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[1, -1, -2, -1],\n [-1, 0, 0, 1],\n [-2, 0, 4, -4],\n [-1, 1, -4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-70
|
MATH
|
[
{
"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[3, -2, -2, 4],\n [-2, 0, 0, 0],\n [-2, 0, -4, 0],\n [4, 0, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-296
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, -3, -4, 4],\n [-4, 2, 2, 1],\n [-3, 4, -2, 1],\n [-3, 0, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1176
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 4, -1, -4],\n [-4, 2, 2, 3],\n [-1, 4, -1, 0],\n [-3, 1, -2, -3]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-161
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 0, 3, 2],\n [0, -2, 0, -2],\n [-3, 3, -2, -2],\n [-4, -3, 1, -4]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
99
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 2, -3, -2],\n [0, 2, -4, 2],\n [4, 3, 0, -2],\n [3, 4, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-53
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 1, -3, 1],\n [-3, 2, 2, 1],\n [-1, 2, 2, -3],\n [-1, 2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3979
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 0, 0, 4],\n [0, 2, 0, -2],\n [0, 0, 2, 0],\n [4, -2, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1241
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 0, -2, 2],\n [0, 3, -3, 0],\n [-2, -3, 1, -2],\n [2, 0, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
724
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, -3, 4, -2],\n [-3, 2, 2, -4],\n [4, 2, 3, -4],\n [-2, -4, -4, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4383
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 0, 0, 0],\n [0, 2, 0, 2],\n [0, 0, -2, -2],\n [0, 2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
342
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, 0, -2, -2],\n [0, -4, 2, 2],\n [-2, 2, -4, 0],\n [-2, 2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2793
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 2, 3, 0],\n [2, -4, -2, -2],\n [3, -2, 4, -1],\n [0, -2, -1, 3]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
228
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 3) of the result:\nA =\n[[3, -2, -1, -4],\n [4, -3, 2, -3],\n [-1, 4, -2, 4],\n [3, -1, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-21
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 2, 0, 4],\n [4, 3, -3, 1],\n [-3, 1, 0, 1],\n [2, 3, 1, 4]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-17
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 3, -4, 4],\n [-1, -1, -1, 4],\n [1, 3, -2, 2],\n [3, 3, 1, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7168
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -4, -2, -1],\n [-4, -1, -3, -3],\n [-1, -2, 4, 4],\n [-3, 4, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6172
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 1, 0, 4],\n [1, 4, -2, 4],\n [0, -2, 3, -1],\n [4, 4, -1, -1]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1230
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 2, -4, -3],\n [0, 2, 4, 1],\n [-4, -1, 1, -1],\n [2, -4, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
48
|
MATH
|
[
{
"content": "Find the value at position (2, 4) of the 3th power of the matrix:\n[[1, -1, 1, -2],\n [-1, -1, -2, 2],\n [1, -2, 3, 0],\n [-2, 2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
40
|
MATH
|
[
{
"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[-2, 2, 2, -1],\n [2, 3, 0, -2],\n [2, 0, 4, -3],\n [-1, -2, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-146
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, -1, 0, -2],\n [-1, 1, -2, 3],\n [0, -2, -4, -2],\n [-2, 3, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1918
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 1, -4, -4],\n [-1, 3, -1, 2],\n [-4, -1, 4, 1],\n [-1, -3, -3, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7872
|
MATH
|
[
{
"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[-3, 2, -1, 1],\n [-2, -1, 1, -1],\n [-1, -4, -3, 4],\n [4, 1, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 2, 0, 2],\n [2, 2, 2, 2],\n [0, 2, -4, 0],\n [2, 2, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1282
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 0, 1, -2],\n [0, -4, -2, 2],\n [1, -2, 3, -3],\n [-2, 2, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
889
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 0, -2, -4],\n [0, 3, 0, -2],\n [-2, 0, 1, 2],\n [-4, -2, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
52
|
MATH
|
[
{
"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[1, 4, 1, -1],\n [-2, -4, 3, -3],\n [1, 1, 2, 2],\n [3, 2, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-21
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, 1, 1, 1],\n [3, 3, 1, -2],\n [-1, -1, 2, 4],\n [0, -2, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4952
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 0, -2, -2],\n [0, 3, 4, 0],\n [-2, 4, 4, -2],\n [-2, 0, -2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1513
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 0, 0, 2],\n [0, -1, -2, 0],\n [0, -2, -3, 0],\n [2, 0, 0, 4]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -1, 2, -3],\n [-1, 0, 3, 4],\n [-1, -3, 4, 0],\n [2, 0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-201
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 0, 2, 2],\n [2, 2, 1, -4],\n [1, -3, -3, -4],\n [-1, 1, 4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2942
|
MATH
|
[
{
"content": "What is the value at position (4, 2) of the matrix A^4 where A is:\n[[1, -2, -2, -3],\n [-4, -4, 2, 0],\n [1, -3, 1, -4],\n [2, 0, 1, 4]]?\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[[2, -2, -3, 2],\n [0, 3, 2, -1],\n [2, 0, 2, -1],\n [-2, 0, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
301
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 0, -2, 2],\n [0, -4, -1, 0],\n [-2, -1, 2, 0],\n [2, 0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
843
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 4, 2, 2],\n [4, -1, 0, 1],\n [2, 0, 2, 2],\n [2, 1, 2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2225
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, -3, 4, 1],\n [1, 1, -2, 2],\n [-4, 4, 1, -4],\n [3, -4, 1, 2]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
768
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, -1, -2, 3],\n [-4, 1, -3, -4],\n [-3, 1, 0, -3],\n [0, -2, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1379
|
MATH
|
[
{
"content": "Find the value at position (2, 3) of the 4th power of the matrix:\n[[-4, -2, 2, 2],\n [-2, 0, 2, 0],\n [2, 2, 3, 2],\n [2, 0, 2, 0]]\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^3 where A is:\n[[1, 3, 1, 0],\n [-1, 3, 0, -3],\n [-3, 0, -1, -2],\n [2, -2, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-101
|
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, 0, -1],\n [0, 4, 0, 0],\n [0, 0, -4, -3],\n [-1, 0, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2050
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 0, 2, 0],\n [0, 2, 1, 0],\n [2, 1, -1, 2],\n [0, 0, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
527
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, -4, 4, 1],\n [-1, 4, 3, -3],\n [2, -2, -4, 0],\n [2, -4, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1948
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 4, 0, 0],\n [3, -3, -2, -4],\n [-2, 3, 1, -1],\n [-4, 3, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6932
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 4, 0, 0],\n [4, 0, -2, -2],\n [0, -2, 0, 0],\n [0, -2, 0, -1]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-912
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -3, 4, -1],\n [-1, -3, 2, -3],\n [-4, 1, 4, 3],\n [-4, -1, -3, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1072
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 2, 0, -4],\n [2, 2, -4, -1],\n [0, -4, 4, -3],\n [-4, -1, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
12284
|
MATH
|
[
{
"content": "What is the value at position (1, 4) of the matrix A^4 where A is:\n[[1, 3, -1, 4],\n [2, 2, 0, -1],\n [1, 0, -1, -4],\n [0, -2, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
26
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, -4, 3, 2],\n [0, 3, 4, 1],\n [4, -2, -3, 0],\n [-3, 2, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3310
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 2, 4, 2],\n [2, -3, -1, 3],\n [4, -1, -1, -4],\n [2, 3, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3514
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -1, 2, -2],\n [-1, 3, 4, 0],\n [2, 4, 0, -2],\n [-2, 0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7694
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -1, -3, 0],\n [1, 3, 0, -4],\n [1, 3, 2, 1],\n [-2, 4, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
621
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 2, 1, 4],\n [2, -2, 0, 0],\n [1, 0, 0, -2],\n [4, 0, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
352
|
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, 0, -4],\n [-3, 2, 3, 2],\n [3, 1, 4, 1],\n [-3, 4, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7947
|
MATH
|
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