messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 2, 0, -3],\n [3, -1, 2, 4],\n [0, -4, 0, 2],\n [2, -2, 1, 0]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-11
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, -1, -3, -2],\n [1, -4, -1, 2],\n [0, 1, -4, -2],\n [0, 3, 4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1914
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 2, 4, -4],\n [-1, 0, 4, 1],\n [-2, 0, -1, 1],\n [4, 1, 4, -1]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-28
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[-1, 4, -2, 0],\n [4, 3, 3, 1],\n [-2, 3, -3, 0],\n [0, 1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
154
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 1, 2, 1],\n [1, -3, -2, -2],\n [2, -2, -4, 2],\n [1, -2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1101
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 0, 3, -1],\n [-2, -1, 2, -3],\n [3, 0, 3, 0],\n [0, 1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
268
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, -2, 3, 0],\n [-2, -4, 1, 0],\n [3, 1, -2, 3],\n [0, 0, 3, -4]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
603
|
MATH
|
[
{
"content": "What is the value at position (2, 1) of the matrix A^4 where A is:\n[[3, 4, 4, -3],\n [-2, 1, -2, -3],\n [0, 2, -3, -1],\n [-1, -2, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
52
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 4, 4, 4],\n [3, -3, 0, 3],\n [-4, -4, 3, 0],\n [0, -1, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1294
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, -2, -2, 0],\n [-2, -2, -2, -2],\n [-2, -2, 3, 0],\n [0, -2, 0, 0]]\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, -4, -4, 4],\n [1, -3, -1, -3],\n [0, 1, 3, 4],\n [-2, -4, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1194
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -4, -4, -2],\n [4, 1, 0, 2],\n [1, 2, -1, 4],\n [4, -3, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-862
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, -1, 4, -4],\n [0, 4, -1, -4],\n [1, -2, 3, 2],\n [2, 1, -2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
92
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 3, 4, 4],\n [-3, -3, -4, 1],\n [2, -4, 3, -2],\n [-4, -1, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1146
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, -4, -1, 4],\n [-3, -2, 3, -1],\n [-3, 1, 4, -4],\n [-1, 0, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-517
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -1, 2, 0],\n [-1, -3, 2, 0],\n [2, 2, -1, -2],\n [0, 0, -2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5635
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -4, 0, 4],\n [-4, -4, -3, 2],\n [0, -3, 2, -2],\n [4, 2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-541
|
MATH
|
[
{
"content": "What is the value at position (3, 4) of the matrix A^3 where A is:\n[[3, 4, 0, 1],\n [0, -4, 1, 1],\n [4, -2, -4, 1],\n [1, 3, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
65
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, -1, 3, -4],\n [-2, 2, 1, 2],\n [-4, -4, 3, -2],\n [-3, 1, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3080
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, -4, 3, 4],\n [-1, -4, 2, 4],\n [3, -3, -1, 3],\n [-2, 3, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
725
|
MATH
|
[
{
"content": "What is the value at position (4, 2) of the matrix A^4 where A is:\n[[-3, 4, -1, 0],\n [-3, 1, -3, 3],\n [-2, -2, 1, 4],\n [3, -3, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-390
|
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, 0, 0],\n [1, -2, 0, -1],\n [4, 1, -4, -4],\n [4, 3, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
570
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, -2, -4, -2],\n [4, -1, 4, 2],\n [-1, -3, 3, 2],\n [-2, -1, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2687
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, -4, -2, -1],\n [-4, 2, -3, 0],\n [2, -2, 1, 1],\n [-1, 3, 0, 3]], determine the sum of all entries.\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, 0, -4, 0],\n [0, 0, 0, 2],\n [-4, 0, -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"
}
] |
1460
|
MATH
|
[
{
"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[-4, 0, -1, 0],\n [0, 1, 3, 1],\n [-1, 3, -1, 4],\n [0, 1, 4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
95
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 0, 1, -4],\n [1, 0, -3, -3],\n [0, -2, 3, -1],\n [-2, -1, 2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1509
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 2, 3, 0],\n [2, 1, -2, 1],\n [3, -2, -4, 0],\n [0, 1, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
876
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 2, -2, -4],\n [2, -2, -2, 2],\n [-2, -2, -4, 0],\n [-4, 2, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2646
|
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, -2, 2],\n [0, -3, 2, -2],\n [-2, 2, 3, -2],\n [2, -2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7623
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 2, -3, -2],\n [-1, 4, 3, 3],\n [-1, 0, 3, -2],\n [0, -1, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
200
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, -4, -1, -1],\n [-3, 4, -3, 2],\n [-2, -3, -1, 1],\n [-4, -2, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5607
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 4, 0, -1],\n [4, 0, 3, -1],\n [0, 3, 2, 3],\n [-1, -1, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
540
|
MATH
|
[
{
"content": "What is the value at position (2, 2) of the matrix A^4 where A is:\n[[1, -1, -2, -4],\n [-4, 0, 3, -3],\n [-1, -2, 2, -3],\n [-1, -2, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
67
|
MATH
|
[
{
"content": "Find the value at position (1, 4) of the 4th power of the matrix:\n[[3, -2, -3, 0],\n [-2, -1, 2, 0],\n [-3, 2, 0, 2],\n [0, 0, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-176
|
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, -1, 0],\n [-2, -3, 0, 0],\n [-1, 0, -1, 0],\n [0, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
131
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 0, 0, 1],\n [0, -3, 0, 0],\n [0, 0, 0, 0],\n [1, 0, 0, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
35
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[0, 2, -1, 0],\n [2, -4, 1, 0],\n [-1, 1, 0, 0],\n [0, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
68
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[-1, 1, 2, 0],\n [1, 3, -1, 2],\n [2, -1, -2, 2],\n [0, 2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
71
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -4, -2, 2],\n [-4, 3, 0, 0],\n [-2, 0, -2, 1],\n [2, 0, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-344
|
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, 0],\n [2, 3, -1, 2],\n [-2, -1, 4, -4],\n [0, 2, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1556
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 4, 2, 2],\n [4, 2, 1, 3],\n [2, 1, 4, 0],\n [2, 3, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2913
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, -4, 1, -2],\n [-4, -2, -2, 0],\n [1, -2, 3, 2],\n [-2, 0, 2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7245
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, -2, 2, 3],\n [1, -4, 0, 2],\n [2, 2, 3, -4],\n [-2, 1, 2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
400
|
MATH
|
[
{
"content": "What is the value at position (3, 2) of the matrix A^4 where A is:\n[[-2, -1, 2, 2],\n [-1, 0, 0, -2],\n [-2, 3, 1, -4],\n [-3, -3, -4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
368
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 4, 2, -1],\n [2, -1, -3, 2],\n [1, -2, 0, -2],\n [-3, 3, 3, -3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
680
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 0, 0, 2],\n [0, 3, -2, -2],\n [0, -2, 1, -4],\n [2, -2, -4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-288
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[1, -2, -2, -3],\n [-2, -1, 0, 2],\n [-2, 0, -4, 2],\n [-3, 2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
50
|
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, -1, -3],\n [2, 0, 2, 1],\n [2, 2, 2, 0],\n [1, 2, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
322
|
MATH
|
[
{
"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[-3, -1, 2, 3],\n [-1, 0, 2, -2],\n [2, 2, -2, -2],\n [3, -2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-816
|
MATH
|
[
{
"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[-3, -2, 0, 1],\n [-2, 2, -1, 0],\n [0, -1, -2, 2],\n [1, 0, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-28
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 1, 3, -3],\n [2, -1, 4, 2],\n [-4, -1, -3, -3],\n [2, 0, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
527
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, -4, 4, 4],\n [4, -1, -3, -4],\n [-1, 3, 4, -2],\n [-3, 4, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
13175
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 0, 0, 3],\n [0, 0, 3, -2],\n [0, 3, -2, -2],\n [3, -2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1606
|
MATH
|
[
{
"content": "Find the value at position (1, 4) of the 3th power of the matrix:\n[[3, 2, 0, -2],\n [-3, -4, -2, -3],\n [1, 2, -1, -4],\n [4, -4, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
56
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, 2, 0, 0],\n [2, -2, 2, -3],\n [0, 2, -3, -2],\n [0, -3, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3510
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 1, 4, 1],\n [2, -2, 1, -2],\n [-4, -1, -2, 3],\n [3, 4, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
556
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[-1, 0, -2, 0],\n [0, -2, 0, 2],\n [-2, 0, -3, -2],\n [0, 2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
28
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 0, 0, -2],\n [0, 1, 0, 2],\n [0, 0, 0, 1],\n [-2, 2, 1, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
532
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 2, -2, 2],\n [2, -1, -2, -4],\n [-2, -2, -1, 2],\n [2, -4, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
25
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, 2, 0, -2],\n [2, 2, -2, 0],\n [0, -2, 0, 0],\n [-2, 0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1229
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 3, 2, 2],\n [-1, 0, 3, -2],\n [2, -4, -2, -4],\n [1, 3, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
35
|
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, 2],\n [2, 1, 0, 2],\n [0, 0, 2, 0],\n [2, 2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
512
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, -4, 1, 3],\n [3, 0, 4, 2],\n [1, -3, 0, 0],\n [-1, 1, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2180
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 0, 1, 3],\n [0, -4, 2, 1],\n [1, 2, 0, 1],\n [3, 1, 1, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
578
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 3, 0, 0],\n [3, -1, -2, 0],\n [0, -2, 0, 1],\n [0, 0, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
58
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, -3, 4, 0],\n [1, -2, 1, -2],\n [-1, -1, 1, -1],\n [4, 0, 0, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
268
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, 0, -2, 1],\n [0, 3, 0, -2],\n [-2, 0, 3, 1],\n [1, -2, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1447
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 0, 0, -2],\n [0, -4, -2, -2],\n [0, -2, -1, -2],\n [-2, -2, -2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
788
|
MATH
|
[
{
"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[-2, -2, -1, 4],\n [0, 4, 2, 4],\n [1, -4, -2, -4],\n [-1, -3, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
14
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 1) of the result:\nA =\n[[-2, 1, -2, 1],\n [1, 2, 3, 4],\n [-1, -2, 2, -3],\n [1, -1, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
83
|
MATH
|
[
{
"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[0, 2, 0, 2],\n [2, -2, 0, 0],\n [0, 0, -2, 2],\n [2, 0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
144
|
MATH
|
[
{
"content": "Find the value at position (1, 4) of the 4th power of the matrix:\n[[-1, 0, 0, -2],\n [0, -3, 2, 2],\n [0, 2, 1, 4],\n [-2, 2, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-14
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 2, 2, 0],\n [2, 4, -1, 1],\n [2, -1, 4, 3],\n [0, 1, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7704
|
MATH
|
[
{
"content": "Find the value at position (1, 4) of the 3th power of the matrix:\n[[1, 2, 0, 2],\n [2, 1, 0, 2],\n [0, 0, -3, -1],\n [2, 2, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
44
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 0, 2, -2],\n [0, 3, -2, 3],\n [2, -2, -2, 0],\n [-2, 3, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
340
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 3, 2, -2],\n [3, 1, 0, 0],\n [2, 0, -2, 4],\n [-2, 0, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1308
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, 3, 1, 3],\n [0, -2, -1, 4],\n [1, -4, -1, 1],\n [0, 3, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5862
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 0, 0, -1],\n [0, -2, -1, -2],\n [0, -1, 4, -1],\n [-1, -2, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1298
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -2, 4, -2],\n [-3, 2, -4, 2],\n [2, 1, -3, -2],\n [2, -4, 3, 1]]\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[[-4, 2, -3, -1],\n [2, -1, 0, -2],\n [-3, 0, 0, 0],\n [-1, -2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5201
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, -2, -2, 0],\n [-2, 4, 1, -2],\n [-2, 1, -1, 2],\n [0, -2, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
722
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -1, 1, -3],\n [-4, 4, 3, 0],\n [1, -3, -4, -3],\n [-1, 0, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1033
|
MATH
|
[
{
"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[0, 3, -2, 3],\n [2, -3, 4, -2],\n [2, -4, -2, -1],\n [-1, -2, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-8
|
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, -4, 2],\n [2, -4, 1, 0],\n [0, 2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5594
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 4, -1, -1],\n [3, 2, -4, 2],\n [2, 3, -2, 1],\n [-2, 4, -3, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
93
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 2, 1, 3],\n [2, 3, -2, 1],\n [0, -3, 3, 1],\n [-4, -1, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-143
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, -3, 3, 4],\n [4, 3, -3, 1],\n [2, -2, 1, 0],\n [0, -3, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-2489
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -2, 3, 4],\n [3, -3, -3, 4],\n [3, -1, 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"
}
] |
311
|
MATH
|
[
{
"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[-4, 2, -1, 0],\n [2, -1, 2, 2],\n [-1, 2, 1, 2],\n [0, 2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-402
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 2, -1, -1],\n [2, 3, -1, -1],\n [-1, -1, -4, 0],\n [-1, -1, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1406
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 0, -1, -2],\n [0, -4, 3, 0],\n [-1, 3, 2, -2],\n [-2, 0, -2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4321
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, -1, 2, -2],\n [-1, 4, -1, 3],\n [2, -1, 3, 4],\n [-2, 3, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
350
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[2, 0, 0, 0],\n [-4, -2, -2, -4],\n [-4, -3, -3, -3],\n [0, 4, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 3, 0, -1],\n [4, 3, 1, -3],\n [-3, 1, 2, 1],\n [-4, 0, 4, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1124
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -3, 2, 0],\n [-3, 2, 1, 2],\n [2, 1, -1, -2],\n [0, 2, -2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
538
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 4, -2, -1],\n [3, -2, -1, 0],\n [2, 2, -2, -1],\n [-1, -1, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
82
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 4, 4, -2],\n [-2, 4, 2, -4],\n [-2, 2, -1, 0],\n [1, 0, -3, -2]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 4, 3, -4],\n [-1, -3, 1, 0],\n [0, -4, -4, 0],\n [3, 4, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5562
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -1, -3, 4],\n [3, 0, 1, 4],\n [3, -3, -1, 4],\n [-3, 1, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
360
|
MATH
|
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