messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[0, 1, 4, 0],\n [1, 2, -2, 0],\n [4, -2, 3, -3],\n [0, 0, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-15
|
MATH
|
[
{
"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[-4, -2, -1, -2],\n [-2, 3, 2, 0],\n [-1, 2, 4, 0],\n [-2, 0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-60
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 0, 0, 0],\n [0, -3, -2, 3],\n [0, -2, 2, -2],\n [0, 3, -2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-16
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[-1, 4, 4, 2],\n [4, 0, 0, 0],\n [4, 0, -3, 0],\n [2, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
564
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -4, 1, 3],\n [4, -2, 1, 3],\n [3, -4, 4, -1],\n [3, -2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-847
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 2, 4, -2],\n [2, 3, -3, 3],\n [4, -3, 3, 0],\n [-2, 3, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1747
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 0, 4, -2],\n [0, 2, 0, 2],\n [4, 0, 0, -2],\n [-2, 2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
592
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 3, 2, 1],\n [3, 1, 2, 4],\n [2, -2, -2, -3],\n [4, -2, -2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
12200
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, 1, -2, -1],\n [1, -2, 3, 0],\n [-2, 3, -3, 0],\n [-1, 0, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4789
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 3, 0, 3],\n [-3, 2, -2, -3],\n [0, -1, 3, -2],\n [1, 0, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-125
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -4, 4, -4],\n [-2, 4, -2, -1],\n [4, -3, -2, -4],\n [0, -3, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-481
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -1, 0, -2],\n [-1, -2, -4, 2],\n [0, -4, 2, -4],\n [-2, 2, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
19514
|
MATH
|
[
{
"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[1, 3, -3, -1],\n [-1, 0, 1, -3],\n [-3, -3, 2, 4],\n [-2, 0, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
132
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 2, -2, -1],\n [2, -3, 2, 2],\n [-2, 2, 4, 3],\n [-1, 2, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7298
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -1, 2, 3],\n [-1, 3, 4, 2],\n [-3, 0, -4, 1],\n [-4, 4, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
617
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, -1, -2, -4],\n [2, -2, -2, 1],\n [-1, -3, 4, -4],\n [1, -3, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
50
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 1, -2, -1],\n [4, 0, -4, -1],\n [2, -2, 0, 0],\n [-1, 1, 0, -4]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
150
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[4, -2, 0, 0],\n [0, 1, 1, 0],\n [3, -1, 0, -2],\n [0, -4, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
54
|
MATH
|
[
{
"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[4, 0, -3, 1],\n [0, -1, -1, 2],\n [-3, -1, -1, 1],\n [1, 2, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-196
|
MATH
|
[
{
"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[0, 2, -2, 2],\n [2, 3, 3, 3],\n [-2, 3, 2, -2],\n [2, 3, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
238
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 4, 3, -3],\n [2, 2, -2, -3],\n [-3, 2, -4, -2],\n [0, 2, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
375
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 2, 1, -4],\n [-2, -2, 0, 0],\n [-1, 1, -4, -3],\n [-4, 1, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7660
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, -2, -2, -3],\n [-2, 1, 1, 2],\n [-2, 1, 3, 2],\n [-3, 2, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3157
|
MATH
|
[
{
"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[0, 0, -2, 1],\n [0, 1, 0, -2],\n [-2, 0, -4, 0],\n [1, -2, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
13
|
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, -2, 1],\n [-2, -3, 3, 0],\n [-1, -3, 2, 3],\n [-2, 2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
909
|
MATH
|
[
{
"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[2, 1, 2, -2],\n [2, -4, -3, -2],\n [4, -2, -1, 3],\n [4, 3, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
66
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, -3, 1, -4],\n [1, -1, -4, 4],\n [4, -4, -2, 1],\n [3, -2, -1, 1]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
14
|
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, 0, 2],\n [-2, 0, 3, -2],\n [0, 2, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1290
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, -2, 0, 1],\n [-2, 1, -2, -1],\n [0, -2, -4, 0],\n [1, -1, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
411
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 0, -2, 4],\n [-1, -3, -4, -1],\n [3, -4, -2, -3],\n [0, -4, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1011
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, -1, 1, 0],\n [1, 1, 0, -1],\n [2, -4, -2, 2],\n [-4, 0, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
338
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 1, 1, -1],\n [-4, 0, -4, 3],\n [-1, 3, 3, 0],\n [-4, 3, -2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
730
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 0, 1, -3],\n [0, -4, -2, 0],\n [1, -2, 1, 0],\n [-3, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
321
|
MATH
|
[
{
"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[4, 3, -3, 3],\n [-1, 0, -4, -1],\n [1, -3, -3, 3],\n [4, 0, 4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
555
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, 1, 4, -2],\n [-2, 3, -3, 0],\n [-4, 1, 2, 3],\n [3, -4, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7055
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, -2, 4, 3],\n [-2, 2, -2, -2],\n [4, -2, 4, -2],\n [3, -2, -2, 3]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
318
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, -2, 0, 0],\n [-2, 4, 2, 0],\n [0, 2, -1, -2],\n [0, 0, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
987
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, -2, -2, 0],\n [-4, 3, 1, -1],\n [-2, -1, -3, 0],\n [1, 4, -3, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-229
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 2, 0, 1],\n [2, 3, 4, 0],\n [0, 4, -3, -4],\n [1, 0, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1570
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -2, -1, 1],\n [-2, -3, -2, 1],\n [-1, -2, -1, 4],\n [1, 1, 4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7399
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, -1, -3, 1],\n [-3, 3, -2, -1],\n [-4, 3, -2, -3],\n [-4, -3, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
814
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -3, 3, -4],\n [-4, -1, 2, -4],\n [3, -3, 0, -3],\n [4, 2, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1202
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 1, -4, 0],\n [1, 2, 2, 4],\n [-4, 2, -2, 2],\n [0, 4, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
183
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, 0, 0, 0],\n [0, -3, -1, 2],\n [0, -1, -3, -2],\n [0, 2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
681
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, -4, -2, 1],\n [3, 1, 2, 4],\n [0, 1, -1, -3],\n [3, 2, -4, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5056
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 2, -2, 2],\n [-1, -3, -1, -1],\n [0, -4, 4, -1],\n [0, 4, -1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2409
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 1, 0, -2],\n [1, 2, 4, -2],\n [0, 4, 1, 1],\n [-2, -2, 1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2338
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, -4, -1, -4],\n [-4, -3, -4, 1],\n [1, 4, -2, -2],\n [-4, -3, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2665
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 0, -1, -1],\n [-3, 3, -2, 1],\n [-4, 1, -2, 3],\n [2, 3, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
538
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -2, 2, 1],\n [-2, -3, 1, 0],\n [0, 4, -4, -3],\n [2, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5765
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -1, -3, 2],\n [1, -3, -2, 3],\n [1, 2, -4, 2],\n [4, -1, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
858
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 3, -3, 0],\n [-1, 2, 4, 3],\n [1, 2, 2, 3],\n [-3, 1, 4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1485
|
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, 2, 0],\n [2, 0, 0, 1],\n [2, 0, 2, -1],\n [0, 1, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
748
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 0, 3, -4],\n [-4, -4, 0, 0],\n [2, -2, 3, -2],\n [0, 3, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
376
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 0, 2, 2],\n [0, -4, 2, 0],\n [2, 2, 2, 0],\n [2, 0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
64
|
MATH
|
[
{
"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[-4, -2, -1, 0],\n [-2, -1, -2, 4],\n [-1, -2, 0, 0],\n [0, 4, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-62
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, -4, 3, -3],\n [0, -4, -4, 0],\n [3, 4, 2, 2],\n [-1, -4, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-144
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, 4, 1, 0],\n [4, 2, 0, 2],\n [1, 0, 3, 2],\n [0, 2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4138
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 0, 2, 1],\n [0, 0, 0, 0],\n [2, 0, 4, 2],\n [1, 0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
400
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -3, -3, 1],\n [3, -1, -4, 2],\n [-2, -4, 3, 2],\n [-1, 0, 0, 1]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
243
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -4, -2, 1],\n [-3, 4, -2, -2],\n [-2, 2, -3, 0],\n [4, -1, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10989
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, 4, 0, -1],\n [-1, 4, 3, 4],\n [-2, -2, 1, 0],\n [0, 2, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3376
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[4, 2, 4, -3],\n [-4, 0, 1, 2],\n [4, -3, 4, 0],\n [-1, 0, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-95
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -2, 2, -3],\n [3, 2, -4, -4],\n [4, 3, -3, 2],\n [-3, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
156
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 2, 0, -4],\n [2, 1, 0, -2],\n [0, 0, -1, -2],\n [-4, -2, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1059
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[-4, 0, 4, -2],\n [2, 4, 3, 3],\n [-1, -1, -4, 2],\n [4, -3, 1, -3]]\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, 0, 2, -2],\n [0, 0, 0, 0],\n [2, 0, -4, 0],\n [-2, 0, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
185
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 0, 2, -3],\n [-2, 1, -3, 2],\n [-4, 0, 2, 0],\n [1, 2, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
500
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[4, 4, -4, -2],\n [2, -4, 4, -3],\n [1, 3, 4, -2],\n [-3, -2, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-149
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[0, 2, 2, 4],\n [2, 2, 0, 1],\n [2, 0, 3, -1],\n [4, 1, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
124
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 2, 4, 0],\n [2, -3, -1, -3],\n [4, -1, -2, 0],\n [0, -3, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1835
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 4, -1, 0],\n [-1, 1, 2, 4],\n [1, -2, 2, -3],\n [4, 0, 3, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
632
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 1) of the result:\nA =\n[[2, 0, -2, 2],\n [0, -4, 0, 3],\n [-2, 0, 0, 0],\n [2, 3, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-80
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 0, -4, 0],\n [0, -2, -3, 3],\n [-3, -2, 3, 1],\n [1, -2, -1, 3]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 0, -1, 2],\n [4, 2, 0, 1],\n [-2, -1, -1, 4],\n [4, -2, -3, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
404
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 1, 3, 2],\n [3, 4, 0, 3],\n [-4, -2, -3, -2],\n [1, 0, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2804
|
MATH
|
[
{
"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[-2, 2, -2, 0],\n [2, -1, 2, -2],\n [-2, 2, -4, 0],\n [0, -2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-156
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, -4, 0, 1],\n [4, -3, -2, -3],\n [-4, -4, 4, -4],\n [4, 3, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-3350
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 3, 1, -2],\n [2, 4, -1, 2],\n [1, -3, 2, -1],\n [1, -1, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
74
|
MATH
|
[
{
"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[3, -2, -4, 1],\n [4, 3, 0, 0],\n [3, 4, 0, 4],\n [-4, -4, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-567
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -2, 4, -2],\n [-2, 4, 2, 0],\n [4, 2, -4, -1],\n [-2, 0, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
49
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, -3, 0, 0],\n [-3, -1, -3, -2],\n [0, -3, -4, -1],\n [0, -2, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1183
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 0, 2, 0],\n [0, 4, -2, -3],\n [2, -2, -1, 0],\n [0, -3, 0, -1]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
168
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 2, -2, 0],\n [2, -3, 0, 0],\n [-2, 0, -3, -2],\n [0, 0, -2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-294
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 1) of the result:\nA =\n[[-3, -2, -2, 0],\n [-2, -1, -3, 0],\n [-2, -3, 4, -2],\n [0, 0, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-4
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 0, -2, 2],\n [0, 4, 1, 2],\n [-2, 1, 3, 0],\n [2, 2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2582
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -2, 0, -2],\n [-2, -2, 2, 4],\n [0, 2, 2, 2],\n [-2, 4, 2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5041
|
MATH
|
[
{
"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[4, 4, -2, -3],\n [4, -1, 2, -2],\n [-2, 2, -2, -2],\n [-3, -2, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
706
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 0, 0, 0],\n [0, 1, -3, 1],\n [0, -3, 1, 2],\n [0, 1, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
335
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 0, -1, 0],\n [0, -3, 2, 1],\n [-1, 2, 1, -1],\n [0, 1, -1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, -2, 0, 2],\n [-2, 2, -4, 4],\n [0, -4, 3, 2],\n [2, 4, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
679
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 4, -1, -2],\n [4, 3, -2, -4],\n [-1, -2, -2, 0],\n [-2, -4, 0, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11218
|
MATH
|
[
{
"content": "What is the value at position (4, 4) of the matrix A^3 where A is:\n[[4, 0, -3, 3],\n [3, 3, 0, 0],\n [-4, 3, -4, 2],\n [4, -3, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-38
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 0, 1, 2],\n [0, 1, 0, 2],\n [1, 0, 2, -3],\n [2, 2, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
501
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 2, 0, 2],\n [2, 2, 1, 0],\n [0, 1, 3, 3],\n [2, 0, 3, -1]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
80
|
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, -3],\n [2, -2, 4, 4],\n [4, 3, -4, 0],\n [1, 4, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1770
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, -4, 3, -3],\n [-4, -2, 2, -3],\n [0, 0, -3, -3],\n [4, 2, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6042
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 2, 0, 2],\n [2, -2, -2, 3],\n [0, -2, 4, 0],\n [2, 3, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1108
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 2, 2, 3],\n [-2, -2, -2, 0],\n [3, -2, -1, -3],\n [4, 4, 1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
19
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[2, 2, -1, 0],\n [2, -1, -2, -1],\n [-1, -2, 4, 0],\n [0, -1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
80
|
MATH
|
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