messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, -2, 0, -1],\n [4, -2, -2, -3],\n [1, 0, -4, 4],\n [-3, 2, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1101
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -2, -2, 2],\n [-2, 0, 1, -4],\n [-2, 1, -1, 2],\n [2, -4, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1575
|
MATH
|
[
{
"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[3, -2, 2, 2],\n [-2, -2, -2, 0],\n [2, -2, -4, 1],\n [2, 0, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
714
|
MATH
|
[
{
"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[3, -3, -3, 1],\n [-1, 0, 0, 0],\n [1, -4, -4, 4],\n [-2, 3, 3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
180
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 2, -1, 0],\n [2, -1, -3, 0],\n [-1, -3, 4, 4],\n [0, 0, 4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1864
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 1, 3, 1],\n [1, 1, 0, 2],\n [3, 0, 2, 0],\n [1, 2, 0, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3852
|
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, 2],\n [-4, 4, 3, -3],\n [-4, -1, -1, 4],\n [-2, -4, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5661
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 4, 1, 0],\n [-3, -2, 0, 1],\n [1, -2, -3, 2],\n [-1, -1, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
378
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, -2, 2, 1],\n [-2, -1, -2, 0],\n [2, -2, -3, 0],\n [1, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1919
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[0, 0, 0, -3],\n [0, -3, 1, 2],\n [0, 1, 3, 0],\n [-3, 2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-36
|
MATH
|
[
{
"content": "Find the value at position (1, 4) of the 4th power of the matrix:\n[[-1, 2, 3, 0],\n [2, -4, -1, -3],\n [3, -1, 1, 0],\n [0, -3, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-471
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 2, -1, -2],\n [2, 0, 2, 2],\n [-1, 2, 1, 2],\n [-2, 2, 2, 0]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
39
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, -4, -2, 3],\n [2, 0, 3, -4],\n [0, 1, 0, 1],\n [3, -4, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1050
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 1, 1, -2],\n [1, 0, 0, 4],\n [1, 0, -3, 2],\n [-2, 4, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1784
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[0, 2, -2, -1],\n [4, 0, 4, -2],\n [-2, 2, -3, 2],\n [-1, -3, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-314
|
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, -2, 2],\n [1, 0, 1, 1],\n [-2, 1, 2, -1],\n [2, 1, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1134
|
MATH
|
[
{
"content": "What is the value at position (4, 3) of the matrix A^3 where A is:\n[[4, 1, 0, -2],\n [1, 2, 0, 3],\n [0, 0, 1, 0],\n [-2, 3, 0, -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[[-2, -3, -2, -3],\n [-3, 0, -3, 0],\n [4, 0, -4, 4],\n [4, -2, -3, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
786
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 1, 4, 4],\n [1, 1, 0, 0],\n [4, 0, 0, 0],\n [4, 0, 0, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
328
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -4, -3, -1],\n [4, 4, 2, -3],\n [-3, 3, 0, 3],\n [-4, -1, -2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
570
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 3, 2, -4],\n [-2, 4, -3, 3],\n [0, -1, 2, 2],\n [2, 2, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
39
|
MATH
|
[
{
"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[-2, 0, 0, 1],\n [0, -4, 4, -2],\n [0, 4, 2, 2],\n [1, -2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-238
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 0, 4, -1],\n [0, -2, 1, -2],\n [4, 1, -2, 0],\n [-1, -2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
950
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -1, -3, 0],\n [-3, 2, -2, -1],\n [-3, 4, 3, 3],\n [2, 3, 2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4322
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, -2, -1, -3],\n [-3, -4, -3, 2],\n [-1, -1, -4, 1],\n [3, 3, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11700
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, -1, 1, 0],\n [-2, 0, 2, 1],\n [-4, -3, -3, 0],\n [4, 3, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
102
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 0, 0, 0],\n [0, -4, 0, -1],\n [0, 0, 0, -4],\n [0, -1, -4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
347
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 3, 0, 3],\n [-1, -3, -2, 2],\n [0, 2, 4, 1],\n [1, -2, -4, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
246
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, -2, 0],\n [0, -2, 0, 2],\n [-2, 0, 4, -2],\n [0, 2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6272
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, 2, 2, -1],\n [2, -1, -1, -1],\n [2, -1, 0, -1],\n [-1, -1, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
361
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 2, -1, -2],\n [2, -3, 2, -4],\n [-1, 2, -4, -1],\n [-2, -4, -1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-69
|
MATH
|
[
{
"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[4, 3, -2, 1],\n [1, 1, -2, 0],\n [-2, 0, -2, -1],\n [-2, 3, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
63
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 3, 4, 1],\n [0, 1, -1, 1],\n [-3, 4, -4, -1],\n [-4, -2, 2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
517
|
MATH
|
[
{
"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[2, 0, 2, 4],\n [0, -4, 0, 2],\n [2, 0, -4, 2],\n [4, 2, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
80
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, -1, -1, 0],\n [-1, -2, 0, 4],\n [-1, 0, 3, 4],\n [0, 4, 4, -3]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
125
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 3, 4, 3],\n [-3, 4, 4, 3],\n [-3, -4, -2, 1],\n [-2, -3, 1, 1]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-162
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 2, 1, 3],\n [-3, 1, -1, -1],\n [-4, 1, 1, 1],\n [-2, -1, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
149
|
MATH
|
[
{
"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[4, -4, 0, 0],\n [-3, 2, 2, -1],\n [0, -4, -4, 1],\n [2, -3, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-140
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[3, 1, 1, 0],\n [1, -4, 0, 0],\n [1, 0, 0, 0],\n [0, 0, 0, 1]]\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, -4, 2, 3],\n [1, 2, 4, 3],\n [4, -3, -1, 2],\n [-4, -3, -2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1228
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 4, 4, -1],\n [1, 1, -3, -4],\n [2, -2, -4, 1],\n [-3, 2, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
975
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 3, 1, -4],\n [0, 2, -2, -1],\n [1, -4, 4, -4],\n [-3, -1, 4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
53
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 4, -1, 2],\n [4, 1, 1, 2],\n [-1, 2, 2, 0],\n [3, -2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1068
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 0, -1, 3],\n [-2, -3, 4, 2],\n [-1, -4, -2, 1],\n [1, -1, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-796
|
MATH
|
[
{
"content": "Find the value at position (1, 4) of the 3th power of the matrix:\n[[-2, 2, 3, 3],\n [0, 1, 1, -4],\n [2, -2, 0, 2],\n [-4, 4, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
16
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, -1, -3, -4],\n [0, 2, 3, -4],\n [0, 4, -4, 3],\n [1, -3, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1276
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 4, 0, 0],\n [4, -1, 0, 2],\n [0, 0, -4, 0],\n [0, 2, 0, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
910
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, -1, 1, 2],\n [-1, 2, 0, -1],\n [-4, 2, 0, 3],\n [2, 1, -3, 2]]\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[[0, 4, -2, -3],\n [3, -3, -2, -4],\n [3, 2, -3, 1],\n [4, 2, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5372
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[2, -1, 2, -4],\n [3, 3, 0, -4],\n [-4, 4, 0, 4],\n [-4, 2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-74
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 0, 1, 2],\n [0, -1, -2, -2],\n [1, -2, 0, 3],\n [2, -2, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
855
|
MATH
|
[
{
"content": "What is the value at position (4, 3) of the matrix A^4 where A is:\n[[2, -3, 3, -2],\n [0, 3, 1, -1],\n [-3, -4, -2, 3],\n [0, 0, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
54
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 0, 3, 1],\n [-4, 4, -3, -4],\n [0, 3, 3, -1],\n [0, -4, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1105
|
MATH
|
[
{
"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[-2, 0, -3, -1],\n [-1, -3, -1, 0],\n [-2, 2, 0, 0],\n [-2, 0, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
26
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 0, -2, 4],\n [0, -4, 4, 1],\n [-2, 4, -2, 0],\n [4, 1, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
476
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, -1, 0, 2],\n [-1, 0, 0, 2],\n [0, 0, -4, -2],\n [2, 2, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
658
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, -1, -4, 1],\n [2, 0, -3, -4],\n [-2, 4, 4, -4],\n [-4, -2, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7640
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, -2, 0, -1],\n [-2, -1, 3, -2],\n [0, 3, -4, 2],\n [-1, -2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1160
|
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, -4, 0],\n [2, 3, 0, -4],\n [-4, 0, 2, 0],\n [0, -4, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
14693
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -4, -3, -4],\n [0, -2, 4, 0],\n [-4, -4, -4, -4],\n [-4, 0, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-2958
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, -2, 3, 0],\n [-3, -3, -4, -1],\n [-4, 0, 2, -3],\n [-1, -2, 0, -2]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 4, 4, -2],\n [-3, 1, -1, 4],\n [1, 2, 0, 3],\n [0, 0, 1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
793
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 2, -2, 0],\n [2, 2, 0, 0],\n [-2, 0, 4, 0],\n [0, 0, 0, 2]], determine the sum of all entries.\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^4 where A is:\n[[1, -4, 0, 0],\n [-4, 0, 2, -2],\n [0, 2, -2, -2],\n [0, -2, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3634
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -2, -1, -1],\n [-1, 2, 4, -1],\n [2, -1, -4, 4],\n [2, 4, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1272
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 3, -4, 4],\n [0, -3, 1, -2],\n [0, 1, -2, -4],\n [2, -1, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1524
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, -4, 0, 4],\n [-4, 0, 0, 0],\n [0, 0, -4, 2],\n [4, 0, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2784
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, 0, -2, -3],\n [0, 0, 4, 0],\n [-2, 4, -1, 2],\n [-3, 0, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5329
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 0, -3, -2],\n [0, 4, 2, 3],\n [-3, 2, 3, 4],\n [-2, 3, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2776
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 4, -3, -4],\n [1, -4, -4, -4],\n [0, -2, 3, 2],\n [4, -3, -4, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1250
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 0, 0, 2],\n [0, 1, -4, 0],\n [0, -4, -1, 0],\n [2, 0, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
612
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 1, 2, 4],\n [-1, -4, 2, -3],\n [-3, 1, 1, 3],\n [0, 1, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-144
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, -2, 0, 1],\n [-2, -1, 0, 0],\n [0, 0, -2, 0],\n [1, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-183
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 2, -2, -2],\n [2, 3, 0, -2],\n [-2, 0, 3, 0],\n [-2, -2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-90
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 0, -2, 0],\n [0, 2, -2, 1],\n [-2, -2, -4, 3],\n [0, 1, 3, 0]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
252
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, 0, 0, 0],\n [-1, -2, -2, -2],\n [3, 4, 2, 3],\n [1, -1, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1020
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 3, -2, -1],\n [3, 0, 0, 4],\n [-2, 0, -1, 3],\n [-1, 4, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3426
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, 1, 2, -3],\n [1, 3, 0, 1],\n [2, 0, 0, 2],\n [-3, 1, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1180
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -2, -4, -2],\n [-2, -4, 2, 0],\n [-4, 2, 3, -4],\n [-2, 0, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1107
|
MATH
|
[
{
"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[2, -4, -3, 3],\n [-4, -1, 4, 2],\n [-1, 2, 3, 3],\n [-1, 4, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1648
|
MATH
|
[
{
"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[4, 3, 4, 1],\n [1, -2, -1, -2],\n [0, 2, -3, 0],\n [-3, 4, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
32
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 1, -4, 3],\n [2, 1, 3, 2],\n [-1, 1, 3, 4],\n [2, -1, -1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
846
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -3, -2, -1],\n [-3, -1, 4, -3],\n [-2, 4, 1, 0],\n [-1, -3, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1101
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 2, -2, 4],\n [2, 0, 0, 2],\n [-2, 0, 4, -2],\n [4, 2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
866
|
MATH
|
[
{
"content": "Find the value at position (4, 2) of the 3th power of the matrix:\n[[-1, 3, -4, 2],\n [1, 4, 2, -3],\n [2, 1, -2, -1],\n [-3, 4, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-9
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 3, 2, 1],\n [4, 1, -3, -2],\n [1, -4, -3, 1],\n [3, -1, 2, -1]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
147
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, -1, 0, 1],\n [-1, 0, 0, -3],\n [0, 0, 0, 0],\n [1, -3, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-251
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 0, 0, -2],\n [0, -2, 2, 1],\n [0, 2, 0, 2],\n [-2, 1, 2, 2]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-34
|
MATH
|
[
{
"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[2, -2, -3, 3],\n [1, 3, -2, 1],\n [-1, -4, 0, -4],\n [2, -2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
69
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 4, 4, -3],\n [1, 2, 4, -4],\n [-4, -3, -4, -4],\n [0, 0, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1442
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -4, 3, -1],\n [-3, -3, -3, 4],\n [2, 3, 0, 4],\n [1, 1, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
763
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 1, 0, -2],\n [1, 3, -4, 0],\n [0, -4, 2, 1],\n [-2, 0, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6594
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 0, 1, 2],\n [0, 3, -4, -2],\n [1, -4, 4, -1],\n [2, -2, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
45
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 2, -3, 2],\n [4, 2, -3, 1],\n [2, 4, -2, 4],\n [3, 3, -1, 3]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
39
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, -2, 0, 3],\n [-2, 3, 3, -2],\n [0, 3, 2, 0],\n [3, -2, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1102
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 3, 0, 4],\n [-1, -3, 2, 1],\n [3, 3, -1, 4],\n [-3, -4, -1, -4]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-133
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, 4, -4, 3],\n [4, 1, 0, 2],\n [-4, 0, -1, 1],\n [3, 2, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8165
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[-1, 2, -4, 0],\n [2, -4, -1, -4],\n [-4, -1, 0, 2],\n [0, -4, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-172
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, -2, -2, -2],\n [-2, 3, -3, 2],\n [-2, -3, -4, -2],\n [-2, 2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11523
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, 3, -4, 3],\n [2, 0, 3, -4],\n [0, 4, 1, 3],\n [-3, 0, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-340
|
MATH
|
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