messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 4, 2, 3],\n [4, 1, 3, -3],\n [-1, 3, -4, 0],\n [-4, 1, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8358
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, -2, -1, -2],\n [-2, -4, 0, -1],\n [-1, 0, 4, 0],\n [-2, -1, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4299
|
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, -1],\n [-4, 3, 0, -2],\n [0, 0, -4, 0],\n [-1, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5059
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 3, -4, -2],\n [0, 0, 0, -4],\n [-4, -1, -2, -2],\n [-1, -1, 4, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
744
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, -3, 0, -2],\n [-3, 0, -2, -1],\n [0, -2, -2, 2],\n [-2, -1, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2765
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -2, -4, 3],\n [4, 3, 0, -2],\n [-3, -3, -4, -4],\n [4, -4, 1, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7614
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 0, -2, 0],\n [0, 4, 1, -2],\n [-2, 1, 2, -3],\n [0, -2, -3, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1287
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[-2, 4, -4, 1],\n [-4, -4, 4, 2],\n [3, 2, -3, 1],\n [-1, -4, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
172
|
MATH
|
[
{
"content": "What is the value at position (1, 4) of the matrix A^3 where A is:\n[[4, 4, -1, 3],\n [-2, -1, -3, -4],\n [3, 1, -2, 1],\n [4, 0, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-14
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 0, 0, -1],\n [2, -3, 2, 0],\n [-4, 3, -2, -4],\n [-4, -1, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-980
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 3) of the result:\nA =\n[[-1, -1, 1, 3],\n [4, 1, -3, 3],\n [-4, -1, 2, -4],\n [4, 3, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-107
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, -3, 4, -1],\n [-3, 1, -1, 4],\n [4, -3, 3, -1],\n [2, 3, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
13780
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, -3, -3, 3],\n [-3, 4, -1, -2],\n [-3, -1, 4, 2],\n [3, -2, 2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2540
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 2) of the result:\nA =\n[[2, 2, 2, 4],\n [2, -3, 2, 0],\n [2, 2, -4, 2],\n [4, 0, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
492
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[3, -1, 0, 2],\n [-1, 2, 1, -3],\n [0, 1, 3, 4],\n [2, -3, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
80
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -2, 0, -2],\n [-2, -1, -2, 0],\n [0, -2, -1, 2],\n [-2, 0, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
470
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, -4, 1, 4],\n [-3, 2, 1, 3],\n [1, -4, -4, -3],\n [-4, 2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-114
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 3, -1, -3],\n [3, -4, -3, 4],\n [-1, 0, -1, 1],\n [0, -1, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4706
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 1, 0, -4],\n [-3, 0, -2, -1],\n [2, -2, 1, -1],\n [-4, 1, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
869
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -2, 0, 0],\n [-2, 0, 2, 0],\n [0, 2, 4, 1],\n [0, 0, 1, 4]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
320
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 0, 4, 2],\n [0, 2, -2, -2],\n [4, -2, 2, 1],\n [2, -2, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
410
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -4, 2, 0],\n [-4, -2, 2, 0],\n [2, 2, -3, 2],\n [0, 0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1480
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, -2, -2, 3],\n [-2, 2, -3, 0],\n [-2, -3, -2, -2],\n [3, 0, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4260
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[-4, -1, -4, 4],\n [4, 1, 4, 1],\n [-3, -3, 4, -1],\n [-4, 4, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-654
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[2, 1, -1, 1],\n [-2, -4, -2, 2],\n [4, 4, 3, 1],\n [4, 3, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-394
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, -2, 0, 1],\n [-4, 3, 4, -2],\n [1, 0, 2, 0],\n [3, 1, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1011
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[-3, 0, 2, 3],\n [3, -3, -4, -1],\n [-1, 1, -1, 2],\n [4, 0, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-102
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 2, 3, 4],\n [4, -3, -4, 4],\n [3, -2, -4, 2],\n [-1, -1, -2, -3]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
168
|
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, -4, -2],\n [0, 3, -2, -1],\n [-4, -2, -3, 2],\n [-2, -1, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9489
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, -4, 0, 0],\n [-4, 3, 2, 0],\n [0, 2, 1, -4],\n [0, 0, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6539
|
MATH
|
[
{
"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[1, 2, -2, 0],\n [2, -2, -2, 0],\n [-2, -2, 3, 0],\n [0, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
38
|
MATH
|
[
{
"content": "Find the value at position (2, 2) of the 4th power of the matrix:\n[[1, 2, 0, 0],\n [2, -2, 2, 0],\n [0, 2, 3, 0],\n [0, 0, 0, -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[[3, 0, 0, 0],\n [-3, 1, -3, -4],\n [3, -3, 0, -3],\n [-3, 1, -3, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4698
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 0, 2, 2],\n [1, 3, -1, -4],\n [0, 4, 4, -3],\n [1, 3, 1, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-267
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 0, 2, 2],\n [0, -3, -3, 0],\n [2, -3, 4, 2],\n [2, 0, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9978
|
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, -1, 4],\n [-2, 0, 0, -3],\n [3, 4, 1, 4],\n [-4, -2, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1176
|
MATH
|
[
{
"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[-1, 1, 0, 0],\n [1, -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"
}
] |
0
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 3, -2, 2],\n [0, 0, -3, -3],\n [-4, 1, -4, -4],\n [-2, 0, -3, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1588
|
MATH
|
[
{
"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[-1, 0, 0, 0],\n [0, -2, 0, -2],\n [0, 0, 0, 2],\n [0, -2, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
26
|
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, 4, -2],\n [1, -3, 4, 1],\n [3, -3, -4, -4],\n [4, -1, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8021
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -3, -2, 0],\n [-3, 3, 0, 4],\n [-2, 0, -4, 0],\n [0, 4, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1242
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 0, -2, 3],\n [0, 0, 2, -2],\n [-2, 2, -4, -4],\n [3, -2, -4, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-262
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, -4, -3, -3],\n [3, -3, -1, 4],\n [-3, -2, -4, -2],\n [3, -1, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-395
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, -2, 4, -1],\n [-2, -3, -4, 0],\n [4, -4, -1, 1],\n [-1, 0, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2295
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -4, -3, 0],\n [1, 0, -1, -1],\n [0, 4, 4, 1],\n [-1, 3, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
260
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, -2, -4, -2],\n [1, 0, 0, 0],\n [4, 1, -1, 4],\n [-4, -4, 1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-90
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, -4, 4, 0],\n [-4, -4, 0, -2],\n [4, 0, 1, -1],\n [0, -2, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1536
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, -2, -2, 0],\n [-2, -4, 0, 2],\n [-2, 0, 4, 0],\n [0, 2, 0, 2]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-128
|
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, 3, 1, -2],\n [-4, 1, -4, 2],\n [-2, -2, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1122
|
MATH
|
[
{
"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[-3, 0, -2, -1],\n [0, -2, -3, 0],\n [-2, -3, -2, 0],\n [-1, 0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-42
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 1) of the result:\nA =\n[[-1, -4, 2, 0],\n [2, 2, -2, 0],\n [3, 3, 2, -2],\n [-2, 1, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-18
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, -1, 3, 0],\n [2, -2, 2, 3],\n [2, 0, 1, 1],\n [2, -1, 0, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
328
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 2, 2, 4],\n [2, -4, 0, 1],\n [2, 0, 0, -2],\n [4, 1, -2, 2]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-94
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[-2, 0, 2, -2],\n [0, 4, -3, 2],\n [2, -3, -1, 4],\n [-2, 2, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
74
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, -4, 4, -4],\n [-4, -4, -3, 4],\n [-3, -4, 3, -2],\n [0, -3, -3, -2]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-23
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 0, 2, -4],\n [0, -3, -3, 1],\n [2, -3, -3, -1],\n [-4, 1, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-312
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 1, -3, 0],\n [3, 0, -4, 2],\n [-2, -2, -2, -4],\n [4, 1, -4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3172
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 2, 2, -1],\n [2, 1, -4, 3],\n [-2, 3, -1, 3],\n [4, -3, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1404
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, -4, 2, -2],\n [0, -1, -2, 1],\n [-2, 3, -2, -2],\n [2, -3, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-61
|
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, -3],\n [-3, 0, -2, -4],\n [-3, 0, -4, -1],\n [3, 1, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3667
|
MATH
|
[
{
"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[1, 1, -2, -1],\n [1, 2, 3, -2],\n [-2, 3, -1, -2],\n [-1, -2, -2, 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, 4, 0, -2],\n [4, -1, -2, 1],\n [0, -2, 0, 0],\n [-2, 1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
430
|
MATH
|
[
{
"content": "Find the value at position (2, 4) of the 3th power of the matrix:\n[[-2, 0, -2, -3],\n [0, -3, 2, -4],\n [-2, 2, -2, -2],\n [-3, -4, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-168
|
MATH
|
[
{
"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[2, 1, 3, -3],\n [0, 2, -1, -4],\n [-1, 2, -3, 2],\n [3, 0, -4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
27
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[0, 4, -1, -4],\n [2, -3, -1, -1],\n [1, 0, 2, 1],\n [-4, 2, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
234
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 1, -2, 2],\n [-3, 4, 1, -2],\n [0, -3, 3, 0],\n [4, 0, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-140
|
MATH
|
[
{
"content": "Find the value at position (4, 3) of the 3th power of the matrix:\n[[-2, -1, 1, -2],\n [1, -2, -4, 0],\n [1, 4, -3, 4],\n [0, -4, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-116
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -1, 1, 0],\n [-1, 0, -2, 2],\n [1, -2, 0, 2],\n [0, 2, 2, 4]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
107
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, -2, -3, 4],\n [4, 1, -2, 3],\n [-3, -1, 0, -1],\n [-2, 1, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
370
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 0, -1, -2],\n [0, -1, 2, 4],\n [-1, 2, -3, -2],\n [-2, 4, -2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7710
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, -3, -1, -1],\n [-1, -4, 0, -1],\n [0, -3, -3, -2],\n [-2, 4, -2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3249
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 2, -3, 1],\n [0, 1, 3, -3],\n [1, 4, 2, -2],\n [-3, 3, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-220
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 0, -2, -1],\n [4, -4, 4, 0],\n [-3, 1, 3, 0],\n [3, -1, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
685
|
MATH
|
[
{
"content": "What is the value at position (1, 4) of the matrix A^4 where A is:\n[[2, -3, 0, 4],\n [2, -3, 2, 2],\n [-2, -3, -4, 1],\n [1, 0, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-406
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -1, -2, 1],\n [3, 2, -3, -1],\n [4, 3, 2, -2],\n [-1, -1, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-852
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -1, 0, 0],\n [-1, -1, 1, 0],\n [0, 1, -4, 0],\n [0, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-27
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 3, 0, -4],\n [-3, 1, -4, 0],\n [-4, 3, -1, 1],\n [-1, -2, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-5
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[4, 1, -3, 4],\n [2, 4, -4, 0],\n [-1, -4, 1, -1],\n [-3, 2, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
18
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 1) of the result:\nA =\n[[0, 4, 1, -2],\n [2, 2, 1, -4],\n [-2, -1, -3, 0],\n [-3, 0, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-16
|
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, 0, 1],\n [-2, 4, -2, 1],\n [0, -2, -1, 1],\n [1, 1, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2700
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 0, 0, 2],\n [0, 3, 1, -1],\n [0, 1, 1, 2],\n [2, -1, 2, -4]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -4, 2, -3],\n [3, 2, 3, 3],\n [-3, -2, -1, 3],\n [-4, -4, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3182
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 3, -2, -1],\n [4, 4, 1, -4],\n [4, 3, 2, 2],\n [3, -2, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8394
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, -1, 4, 2],\n [-1, 3, 0, 0],\n [4, 0, -1, -1],\n [2, 0, -1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1349
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 1) of the result:\nA =\n[[2, -4, 4, 1],\n [3, 2, 1, 1],\n [-2, -2, 1, 3],\n [-4, -1, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-639
|
MATH
|
[
{
"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[-2, -3, -4, 3],\n [-2, 4, -4, 1],\n [3, 1, -4, 1],\n [1, -2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-5
|
MATH
|
[
{
"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[3, -2, -4, 0],\n [-2, 1, -2, -1],\n [-4, -2, -4, -1],\n [0, -1, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-154
|
MATH
|
[
{
"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[-2, 4, 0, -1],\n [4, 3, -2, 2],\n [0, -2, 4, 2],\n [-1, 2, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-470
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, 1, -2, -1],\n [0, -2, -4, 0],\n [4, -4, 4, -1],\n [-4, -3, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3563
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, -4, 2, 1],\n [-4, -1, 2, 0],\n [2, 2, 3, 4],\n [1, 0, 4, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7366
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, -4, 0, 2],\n [-3, -1, -2, -3],\n [-2, 1, 2, 1],\n [4, -1, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-284
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 0, 0, -2],\n [0, 4, -2, 3],\n [0, -2, -2, -2],\n [-2, 3, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1955
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -1, -2, 0],\n [-1, 0, 1, -1],\n [-2, 1, 4, 0],\n [0, -1, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-98
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, -3, -3, -2],\n [1, 2, 2, -1],\n [1, 0, -2, -3],\n [0, -2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
869
|
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, 0, 2],\n [-1, -2, -1, 2],\n [0, -1, -4, 2],\n [2, 2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1155
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 4, -3, 2],\n [4, -4, 2, -1],\n [-3, 2, 1, 0],\n [2, -1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
130
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, -3, 0, 0],\n [-3, -2, -4, 0],\n [0, -2, 0, -4],\n [2, 0, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-358
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 2, 0, -2],\n [2, 0, 0, 0],\n [0, 0, 3, 0],\n [-2, 0, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
590
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 1) of the result:\nA =\n[[3, 2, -2, 3],\n [-2, -1, 3, 1],\n [-1, 3, -4, 1],\n [4, 1, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
127
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 4, 2, 0],\n [4, 2, -1, 0],\n [2, -1, 4, 0],\n [0, 0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
226
|
MATH
|
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