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 3th power of the matrix:\n[[-3, 1, 2, -3],\n [-2, -3, 4, 2],\n [4, -2, 0, 2],\n [-1, 1, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1029
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -3, 0, -2],\n [-3, 3, 0, 2],\n [0, 0, -2, 4],\n [-2, 2, 4, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1711
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 0, 1, 4],\n [0, 3, 2, 2],\n [1, 2, 3, 0],\n [4, 2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
507
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, -2, 2, 1],\n [-2, 0, 2, -2],\n [2, 2, 3, 1],\n [1, -2, 1, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
264
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -1, -4, -4],\n [0, 2, 0, 4],\n [-2, -2, 3, 4],\n [-3, -2, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-40
|
MATH
|
[
{
"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[2, 3, 0, 0],\n [3, 1, 0, 0],\n [0, 0, 3, 2],\n [0, 0, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
72
|
MATH
|
[
{
"content": "Find the value at position (4, 2) of the 4th power of the matrix:\n[[-3, -2, -2, 2],\n [-2, -2, 1, 4],\n [-2, 1, 0, -2],\n [2, 4, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1414
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 0, 0, 2],\n [0, 4, -2, 0],\n [0, -2, -3, -3],\n [2, 0, -3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
68
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, -1, 0, 0],\n [-1, -1, -1, 3],\n [0, -1, -1, 4],\n [0, 3, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4084
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, -3, 1, 1],\n [1, 4, -3, 3],\n [-4, -3, -3, 2],\n [-2, 3, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2216
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[-4, -2, 2, 0],\n [-2, 4, 1, -2],\n [2, 1, 2, -4],\n [0, -2, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
797
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 0, 3, 2],\n [0, 2, 0, -3],\n [3, 0, 3, -2],\n [2, -3, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
640
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 2, 2, 1],\n [2, -3, 2, 1],\n [2, 2, 0, 4],\n [1, 1, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
661
|
MATH
|
[
{
"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[-4, 2, 1, 0],\n [2, 0, 4, 0],\n [1, 4, -1, 2],\n [0, 0, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
301
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 3, -3, 0],\n [1, -1, 0, 0],\n [2, 0, -1, 4],\n [1, -1, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
322
|
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, 2],\n [1, -4, -4, 0],\n [-4, -2, -3, 2],\n [-3, 3, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1441
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 2) of the result:\nA =\n[[-1, 0, 0, 0],\n [0, -2, 0, -2],\n [0, 0, 3, 3],\n [0, -2, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 1, 2, 1],\n [1, 2, 2, 0],\n [2, 2, 1, -2],\n [1, 0, -2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1761
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 4, 4, -2],\n [-2, -3, 1, -3],\n [4, -1, 4, 1],\n [4, -3, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4356
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 2, 3, 1],\n [2, 2, 2, 0],\n [3, 2, 4, 0],\n [1, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1557
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -2, -4, 1],\n [1, 0, 4, -4],\n [-3, -1, 3, 1],\n [-1, -4, 2, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
32
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -2, -4, 2],\n [1, -2, -1, -4],\n [2, -2, -4, -2],\n [-4, 4, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1400
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 0, 1, -2],\n [0, -1, 0, 2],\n [1, 0, 1, -2],\n [-2, 2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-34
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -1, 0, -2],\n [-1, 2, 0, 0],\n [0, 0, -2, 0],\n [-2, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[4, 3, -3, 3],\n [0, 3, 3, 2],\n [-1, -4, -3, -1],\n [4, 4, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1349
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 0, -4, 1],\n [-4, -1, -1, -3],\n [2, 2, -3, -2],\n [-4, 4, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-548
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 4, 1, 1],\n [-1, 1, 3, -3],\n [4, 2, -1, 2],\n [-4, 3, -1, 0]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-190
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 1, 1, 3],\n [1, -4, 0, 1],\n [1, 0, 0, 0],\n [3, 1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1114
|
MATH
|
[
{
"content": "Find the value at position (4, 2) of the 4th power of the matrix:\n[[-4, 0, -3, 3],\n [0, 0, 1, 3],\n [1, 0, 2, 4],\n [-1, -3, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
165
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 2, -2, 3],\n [-3, 0, -1, -2],\n [0, 3, 1, 4],\n [3, -2, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3038
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 2, 4, -4],\n [-3, -4, 0, 3],\n [3, -2, -2, -4],\n [2, 1, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2934
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 0, -2, 1],\n [0, -3, 3, 0],\n [-2, 3, -1, 0],\n [1, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3705
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, -3, -1, -4],\n [0, 0, 2, -1],\n [-1, 1, 4, 3],\n [-4, -3, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6914
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 0, 0, 3],\n [4, 2, 1, 3],\n [4, -3, 1, -1],\n [-2, -4, 3, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2754
|
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, 0, 0],\n [0, -1, 4, -2],\n [0, 4, 1, 3],\n [0, -2, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9442
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 2, 2, -4],\n [0, 4, 3, -3],\n [4, 3, 1, 1],\n [1, 2, 3, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1967
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -1, -1, -1],\n [-1, -2, 0, 2],\n [-1, 3, 4, 3],\n [2, 2, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-246
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -2, 2, 3],\n [-2, 0, 3, 4],\n [2, 3, -1, 0],\n [3, 4, 0, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
810
|
MATH
|
[
{
"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[-2, -1, 4, -4],\n [3, 0, 1, -3],\n [-1, 2, 2, 3],\n [-1, 1, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8
|
MATH
|
[
{
"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[-2, 4, 0, 1],\n [3, 2, -4, -4],\n [1, 0, -2, 4],\n [4, 1, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
67
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, -4, -3, 0],\n [-4, -1, 0, -1],\n [-3, 0, -1, -2],\n [0, -1, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6225
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, 1, 2, 0],\n [1, 3, -1, -2],\n [2, -1, -2, -4],\n [0, -2, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1239
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -1, 0, -4],\n [-1, -3, 1, 0],\n [0, 1, -3, 0],\n [-4, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
651
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 4, -2, 3],\n [-4, 1, 4, 4],\n [0, 3, 2, 4],\n [1, 2, -2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2435
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, 1, -3, 0],\n [-2, 4, 4, -3],\n [2, -3, 3, -3],\n [-2, -3, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5293
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, -2, -3, 1],\n [3, -1, -2, -3],\n [-4, 0, 3, 3],\n [-4, -1, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
141
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, -3, -4, -4],\n [-4, 2, 1, 2],\n [3, -3, -3, 1],\n [-3, 1, 3, 1]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
24
|
MATH
|
[
{
"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[2, 3, -3, 4],\n [-2, -4, 2, -2],\n [3, 0, 2, 2],\n [-3, 1, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-49
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -2, -4, -1],\n [-2, 0, 4, 2],\n [2, -2, -4, -3],\n [2, -2, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
348
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 1, 2, 4],\n [1, 2, -2, 1],\n [0, 4, -2, -1],\n [-1, -3, 4, 2]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
20
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, -2, 0, 3],\n [-2, 0, 0, -2],\n [0, 0, 0, -2],\n [3, -2, -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[[-4, -2, 0, -2],\n [-2, 4, 0, 0],\n [0, 0, 2, 0],\n [-2, 0, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
427
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 2, 1, 4],\n [0, 3, -4, 1],\n [3, 3, -4, 0],\n [-3, 2, -3, -2]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-63
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 0, -3, 1],\n [1, 3, 2, -3],\n [-2, 4, -3, 0],\n [-2, 4, -4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, -3, -3, -2],\n [0, -1, -3, -2],\n [-3, -1, -3, 4],\n [3, -4, -1, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1041
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, -1, -2, 4],\n [-1, 0, 0, 0],\n [-2, 0, -4, 0],\n [4, 0, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1325
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[2, 1, 2, 1],\n [1, 1, -2, -1],\n [2, -2, -2, 0],\n [1, -1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-26
|
MATH
|
[
{
"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[0, -3, 2, 3],\n [-3, 0, 0, 0],\n [2, 0, -4, 2],\n [3, 0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-92
|
MATH
|
[
{
"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[1, 0, -2, -2],\n [0, 4, 0, 1],\n [-2, 0, -4, 0],\n [-2, 1, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-4
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 1, -4, -1],\n [1, 0, 2, 1],\n [-4, 2, 2, -2],\n [-1, 1, -2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
813
|
MATH
|
[
{
"content": "What is the value at position (1, 1) of the matrix A^4 where A is:\n[[-4, 0, 1, 0],\n [0, 3, 0, -1],\n [1, 0, -4, -2],\n [0, -1, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
357
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, -2, 0, -1],\n [3, -2, 3, 0],\n [0, 2, 2, 3],\n [2, -2, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-74
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 1, 2, 1],\n [0, 2, -4, 4],\n [3, -2, 2, 1],\n [4, 4, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
310
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 0, 0, 2],\n [0, 4, 0, 2],\n [0, 0, -2, 2],\n [2, 2, 2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
587
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 4, 1, 4],\n [3, 2, 2, -3],\n [3, 1, 2, -1],\n [-2, 0, 4, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8652
|
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, 1, -2],\n [2, 3, 0, 2],\n [1, 0, -1, 0],\n [-2, 2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1407
|
MATH
|
[
{
"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[3, 2, 2, 3],\n [2, 3, -2, 0],\n [2, -2, -1, -1],\n [3, 0, -1, -3]]?\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^3 where A is:\n[[-2, 2, 1, 0],\n [2, -1, -2, -1],\n [1, -2, -3, -2],\n [0, -1, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
754
|
MATH
|
[
{
"content": "Find the value at position (4, 2) of the 4th power of the matrix:\n[[-1, 2, -4, -1],\n [-3, -2, 0, 3],\n [-4, 0, 1, -1],\n [-2, 3, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-49
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 2, -4, 0],\n [2, -1, 2, 1],\n [-4, 2, 1, -4],\n [0, 1, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1498
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, 2, -2, -2],\n [2, 2, -2, -2],\n [-2, -2, 2, 1],\n [-2, -2, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5770
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 2, -2, -1],\n [2, 1, 1, -1],\n [-2, 1, 4, -4],\n [-1, -1, -4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
797
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 3, 2, 0],\n [3, 2, 0, 1],\n [2, 0, -4, 2],\n [0, 1, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5892
|
MATH
|
[
{
"content": "What is the value at position (4, 3) of the matrix A^4 where A is:\n[[0, 0, -3, 3],\n [0, -1, -3, -1],\n [-3, -3, 1, 2],\n [3, -1, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
117
|
MATH
|
[
{
"content": "What is the value at position (2, 2) of the matrix A^4 where A is:\n[[-1, 1, 2, 0],\n [-3, -2, 1, 0],\n [3, 2, 4, 1],\n [-3, -2, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, -1, 1, 4],\n [1, 4, 4, -4],\n [2, 1, 2, 2],\n [1, 2, -1, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4358
|
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, 0, 0],\n [-2, -4, 0, -2],\n [0, 0, 4, 0],\n [0, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5136
|
MATH
|
[
{
"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[3, -2, 3, 0],\n [0, 0, 0, 2],\n [2, -4, -4, 4],\n [-4, -1, -1, 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[[-2, -3, -1, -2],\n [1, 1, 2, -2],\n [1, 2, -3, -2],\n [0, -3, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
466
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 0, 0, 0],\n [0, 0, 0, -2],\n [0, 0, 3, 2],\n [0, -2, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
702
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[0, 0, 0, -4],\n [3, -1, 3, -4],\n [0, 1, -1, 0],\n [-2, 4, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-52
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -3, 3, -1],\n [1, -1, 3, -1],\n [1, 4, -3, 4],\n [3, 2, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
112
|
MATH
|
[
{
"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[-2, -2, -1, -1],\n [-3, -1, 3, 3],\n [4, 3, -4, -2],\n [2, -2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-156
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 0, -3, -2],\n [0, -2, -2, 0],\n [-3, -2, -4, -2],\n [-2, 0, -2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1252
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 2, -3, -1],\n [2, 3, 2, -3],\n [-3, 2, 4, 3],\n [-1, -3, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2020
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, -4, 4, -3],\n [0, 1, -1, -2],\n [0, -2, 4, -1],\n [-4, 2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1257
|
MATH
|
[
{
"content": "What is the value at position (4, 4) of the matrix A^3 where A is:\n[[1, -3, 4, 1],\n [-2, 3, 3, -4],\n [-4, -4, -3, 1],\n [-2, 0, 4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, -2, -3, -4],\n [-3, -1, 4, -3],\n [3, 3, 1, 0],\n [3, -4, 1, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1131
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, -3, 3, -1],\n [2, -3, 1, 1],\n [-1, -3, 4, 1],\n [-4, 3, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1066
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, -2, 2, -1],\n [-1, -3, -4, 4],\n [1, -2, 0, 2],\n [3, -3, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2474
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, -1, 0, 2],\n [-1, 2, 0, 0],\n [0, 0, -3, 0],\n [2, 0, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
21
|
MATH
|
[
{
"content": "Find the value at position (1, 4) of the 3th power of the matrix:\n[[1, 1, 2, 0],\n [1, 2, 0, -4],\n [2, 0, -2, -2],\n [0, -4, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-40
|
MATH
|
[
{
"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[-4, -3, -3, 4],\n [-1, 4, 1, -1],\n [0, -4, 4, 4],\n [2, 4, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
90
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, -4, -1, 3],\n [1, 0, -4, -2],\n [-1, 1, 2, -3],\n [1, -2, 3, 4]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-133
|
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 [0, 3, 0, 2],\n [-2, 0, 2, 2],\n [-2, 2, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2630
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 3, 2, -1],\n [-2, -3, 4, -1],\n [1, -3, 0, 1],\n [-2, 0, 3, 1]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-135
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, -1, -3, -2],\n [-1, 0, -2, -1],\n [-3, -2, 2, 0],\n [-2, -1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4346
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -4, 4, -1],\n [4, -3, -4, -1],\n [-2, -1, 1, 0],\n [4, -1, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-44
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, -3, 0, -2],\n [3, 4, 0, 0],\n [0, 2, 1, -3],\n [2, 4, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-174
|
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, -3, -4],\n [-3, 2, -4, -2],\n [-3, -1, 0, 0],\n [1, 3, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
392
|
MATH
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.