messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, -1, 0, 4],\n [-3, 2, 1, -2],\n [-3, 1, 1, 0],\n [0, 3, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3506
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -1, 0, 0],\n [-1, 1, 2, 4],\n [0, 2, 0, 2],\n [0, 4, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
617
|
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, 4, 2],\n [0, -4, 2, 2],\n [4, 2, -2, 2],\n [2, 2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6093
|
MATH
|
[
{
"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[-3, 4, -1, 1],\n [-4, 2, -1, 1],\n [3, 1, -4, 4],\n [2, -2, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-37
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, -2, -2, 1],\n [-2, 1, -3, -2],\n [-2, -3, -3, 0],\n [1, -2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
842
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -3, 2, 0],\n [-3, 1, 0, -2],\n [2, 0, 3, -2],\n [0, -2, -2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2201
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -2, 3, -2],\n [-2, 2, -1, 2],\n [3, -1, -4, -1],\n [-2, 2, -1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-28
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 2, 1, -4],\n [-2, -1, 2, -3],\n [4, -1, -4, -2],\n [-1, -4, 1, 2]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
31
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 2, 2, -1],\n [2, -2, 0, 3],\n [2, 0, 3, -2],\n [-1, 3, -2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4284
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[2, -3, 0, -1],\n [-3, -2, 0, 0],\n [0, 0, 1, 0],\n [-1, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 3, 3, 1],\n [4, 2, 2, 3],\n [1, 0, 2, -2],\n [-3, 2, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
560
|
MATH
|
[
{
"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[-2, -1, 0, 0],\n [-1, -1, -1, -3],\n [0, -1, -2, -1],\n [0, -3, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
203
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 0, 0, 2],\n [0, 4, 2, 0],\n [0, 2, -2, 0],\n [2, 0, 0, -1]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, -4, -2, 2],\n [-1, 0, 1, 1],\n [-1, -4, 2, -3],\n [0, -4, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-706
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 0, 2, 3],\n [0, -4, -1, -2],\n [2, -1, -3, 2],\n [3, -2, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
128
|
MATH
|
[
{
"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[-3, -2, -4, 1],\n [4, 2, -4, -3],\n [4, -1, 2, 4],\n [-3, -2, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-180
|
MATH
|
[
{
"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[1, -3, -2, 1],\n [-4, -4, -3, -2],\n [4, -1, -2, 4],\n [1, 1, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, -4, 0, -1],\n [-4, -2, 2, -2],\n [0, 2, 4, -2],\n [-1, -2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4040
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, -3, -1, 3],\n [4, -1, -4, -4],\n [4, 0, 0, 0],\n [3, 4, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1275
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 3) of the result:\nA =\n[[-4, 0, -1, 0],\n [0, -3, 2, 2],\n [-1, 2, -4, 0],\n [0, 2, 0, 2]]\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 absolute values of all entries of the result:\nA =\n[[-2, 1, -2, 3],\n [1, 1, 2, -2],\n [-2, 2, 1, -1],\n [3, -2, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
754
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, -2, 0, 2],\n [-2, -3, -2, 2],\n [0, -2, -4, -2],\n [2, 2, -2, -2]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
24
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 4, 2, 0],\n [-1, 2, 1, 0],\n [-2, 4, 1, 0],\n [-2, 2, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
114
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 4, -1, -2],\n [3, 4, 1, 3],\n [4, -2, -4, 4],\n [-4, -2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1418
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 4, -2, 2],\n [-4, -3, -4, 2],\n [1, 0, 2, 1],\n [-1, 0, 3, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4891
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, -3, 0, 2],\n [3, 2, -1, -1],\n [3, 3, 3, -4],\n [1, 0, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1386
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 0, -2, 0],\n [0, -2, -2, 0],\n [-2, -2, 3, 0],\n [0, 0, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1777
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 4, -1, 4],\n [4, 2, 3, -1],\n [-4, 0, -2, 4],\n [0, -2, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
70
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[2, 0, 3, 0],\n [0, 0, 0, -2],\n [3, 0, 3, -2],\n [0, -2, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
107
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, 0, 2, 0],\n [0, -3, -2, 0],\n [2, -2, 0, 0],\n [0, 0, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1378
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 0, 0, 3],\n [0, 0, -3, 0],\n [0, -3, -1, 1],\n [3, 0, 1, -1]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-66
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 1) of the result:\nA =\n[[0, -2, 3, 1],\n [-1, -1, 4, -4],\n [0, 1, -2, 1],\n [-2, -1, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
265
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, -4, 2, 1],\n [-4, 0, 0, 0],\n [2, 0, -4, -2],\n [1, 0, -2, 4]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, -2, 4, 1],\n [1, -1, 4, 0],\n [0, -3, -3, 0],\n [-4, -2, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
419
|
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, 2, 4],\n [-2, 1, 2, 0],\n [2, 2, -2, 1],\n [4, 0, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11187
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, -2, -4, 4],\n [-3, -2, -2, 3],\n [-2, -2, -2, -1],\n [-2, 1, 3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5536
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -4, 0, 2],\n [1, 1, -1, 2],\n [0, -2, -3, -1],\n [4, -1, -4, -1]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-558
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, -3, -1, 1],\n [-3, -3, -2, 2],\n [1, 0, 3, 3],\n [3, 1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2156
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, -2, 0, 0],\n [-2, 1, -1, 4],\n [0, -1, 4, 2],\n [0, 4, 2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
315
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[0, -3, 0, 1],\n [-2, 2, -1, -3],\n [2, 1, 4, -3],\n [-3, 0, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
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, 2, -1],\n [-2, -3, -1, 2],\n [2, -1, 1, 2],\n [-1, 2, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
910
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, 4, -3, 2],\n [-2, 2, 2, -2],\n [3, 1, 1, 3],\n [4, -2, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1212
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 1, -3, 1],\n [2, 3, 2, 1],\n [-3, -3, 4, 1],\n [-4, -4, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4944
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 2, -2, -1],\n [2, 0, 1, 0],\n [-2, 1, 3, 3],\n [-1, 0, 3, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1312
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 3, -4, 1],\n [-3, 2, 1, -2],\n [-1, 0, 0, -4],\n [3, 1, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
732
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -3, -1, -1],\n [-3, 3, -2, 1],\n [-1, -2, 1, -1],\n [-1, 1, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
712
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 2, 0, -2],\n [2, 0, -2, 0],\n [0, -2, 3, 1],\n [-2, 0, 1, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
329
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 0, -3, -4],\n [4, 4, -4, -4],\n [3, 3, -1, 0],\n [4, -3, -2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
922
|
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, -2, 2, 2],\n [-2, 2, 3, 2],\n [0, 2, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1075
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -2, -2, 2],\n [-2, -4, 2, 0],\n [-2, 2, 4, -2],\n [2, 0, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-132
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 4, 4, 2],\n [-4, 3, 3, 3],\n [4, 1, 4, -4],\n [-2, -1, -1, -3]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-40
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 3, 0, 0],\n [3, -1, 2, 2],\n [-3, -1, 3, 4],\n [0, -1, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
18
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -2, 1, 0],\n [-2, -1, 3, -4],\n [1, 3, 1, 2],\n [0, -4, 2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1063
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, 2, -1, -4],\n [1, -1, -2, -4],\n [0, 4, -3, -4],\n [2, 3, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3880
|
MATH
|
[
{
"content": "What is the value at position (1, 4) of the matrix A^4 where A is:\n[[4, 1, 0, -1],\n [4, 2, 3, 1],\n [1, -3, 1, -3],\n [0, -4, -4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-169
|
MATH
|
[
{
"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[0, 0, -2, 1],\n [0, 1, -2, 0],\n [-2, -2, 2, -2],\n [1, 0, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
405
|
MATH
|
[
{
"content": "What is the value at position (1, 4) of the matrix A^3 where A is:\n[[1, -2, -3, 2],\n [-4, 2, -3, 4],\n [2, 0, 2, 0],\n [-3, -3, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-54
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 3, 2, -1],\n [1, 1, -1, -1],\n [2, -2, -3, -1],\n [-1, -1, -4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1614
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 2, -2, -4],\n [2, -1, 1, -1],\n [-2, 1, 1, -2],\n [-4, -1, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2815
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 3, -2, 0],\n [3, -1, 3, 1],\n [-2, 3, 2, 0],\n [0, 1, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
220
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 2, 3, 0],\n [0, 2, 3, -4],\n [4, -3, -1, -3],\n [-4, 3, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
194
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 4, -3, 0],\n [-4, 1, -2, 3],\n [-4, -3, -4, 0],\n [0, -3, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6889
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 1, -4, -3],\n [-2, 3, 3, 3],\n [2, -4, -2, 3],\n [0, 3, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
786
|
MATH
|
[
{
"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[1, 1, 0, 2],\n [1, 3, 4, -1],\n [0, 4, -4, 0],\n [2, -1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
38
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, -3, -2, 1],\n [-3, 3, 4, 0],\n [-2, 4, -2, 2],\n [1, 0, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
13944
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 1, 2, 0],\n [1, 3, 0, -1],\n [2, 0, 0, 0],\n [0, -1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
27
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 0, 2, 3],\n [0, 3, 0, 2],\n [2, 0, -1, -3],\n [3, 2, -3, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
788
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -1, -1, -3],\n [-1, 4, -2, 1],\n [-1, -2, 0, 0],\n [-3, 1, 0, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-288
|
MATH
|
[
{
"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[-3, 0, 2, 4],\n [0, 3, -4, -3],\n [2, -4, -2, 4],\n [4, -3, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-280
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 1, 0, 0],\n [1, -1, 1, 0],\n [0, 1, 4, -2],\n [0, 0, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
545
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, 0, 0, 1],\n [0, 0, 3, -4],\n [0, 3, 0, 0],\n [1, -4, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4287
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 2, 0, 0],\n [2, -2, -2, 0],\n [0, -2, 2, -1],\n [0, 0, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-38
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, 0, 3, -2],\n [0, 2, 1, 3],\n [3, 1, 3, 0],\n [-2, 3, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-39
|
MATH
|
[
{
"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[4, -2, 4, 3],\n [0, 4, -3, -2],\n [-1, -1, 2, 0],\n [0, 1, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
143
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 2, 1, 0],\n [-2, -2, -1, 4],\n [-3, -2, 1, 1],\n [0, 1, 1, -3]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-43
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, -4, 4, -3],\n [4, 0, 3, 3],\n [2, -2, 3, 3],\n [-1, -4, -4, 2]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-474
|
MATH
|
[
{
"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[4, -2, 0, 0],\n [-2, 2, -2, -1],\n [0, -2, 2, -3],\n [0, -1, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
104
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -3, 1, -2],\n [-2, 4, 0, 0],\n [2, -3, -2, 1],\n [0, 3, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
591
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -4, -4, -3],\n [-1, 3, 4, 3],\n [3, 4, -2, 0],\n [-3, -4, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
775
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 0, 1, -1],\n [3, -1, -3, 4],\n [2, 2, 3, 3],\n [-3, -3, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
260
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 0, -2, 1],\n [-1, -3, 2, 4],\n [-1, -1, -1, 2],\n [2, -4, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1027
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -4, 0, 4],\n [4, 2, 4, -3],\n [0, -3, -1, 1],\n [4, -2, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1331
|
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, 4, -2],\n [4, 3, -4, 0],\n [-4, -2, -2, 4],\n [-1, 2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
536
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 0, 2, -1],\n [0, -1, 0, 0],\n [2, 0, -2, -2],\n [-1, 0, -2, -4]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
330
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 1, 3, 4],\n [0, -4, -2, -1],\n [2, 2, 1, -1],\n [0, -4, -4, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3560
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[-1, 4, 2, -4],\n [-4, 4, -3, -4],\n [3, -3, -2, 3],\n [-2, 2, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-342
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, -3, 4, 1],\n [4, 1, -1, -2],\n [-4, 1, -1, -1],\n [1, -4, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3973
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -1, 2, 3],\n [-1, -1, -1, -3],\n [2, -1, 3, -2],\n [3, -3, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
852
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 1, -4, -2],\n [1, 2, 0, 4],\n [-4, 0, 3, 1],\n [-2, 4, 1, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
430
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, -1, -2, -2],\n [4, 4, 1, 4],\n [0, -3, 4, 0],\n [1, -4, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-497
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 2, 2, 0],\n [1, -4, -1, -3],\n [2, 4, 1, 4],\n [-4, -3, 1, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3572
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 0, 0, 1],\n [0, -1, 0, 1],\n [0, 0, 0, 2],\n [1, 1, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
482
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 3, 3, -4],\n [-1, 0, 1, 0],\n [2, -1, 2, 3],\n [4, 2, 2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1626
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, -3, 3, 3],\n [-3, -1, 2, -3],\n [3, 2, 3, -2],\n [3, -3, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1286
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, 1, -3, 4],\n [-4, -4, 3, -4],\n [1, 3, -3, 4],\n [1, 0, 4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
863
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[0, 2, -3, 0],\n [2, 3, 0, 3],\n [-3, 0, 3, -2],\n [0, 3, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
93
|
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, -2, -1],\n [-1, -3, 2, 1],\n [1, 1, 1, 1],\n [1, -4, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
345
|
MATH
|
[
{
"content": "What is the value at position (3, 4) of the matrix A^3 where A is:\n[[4, 0, 2, 0],\n [4, -2, -1, 1],\n [3, 1, 0, 1],\n [-1, 0, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 0, -2, 1],\n [4, 0, 4, 4],\n [-2, 3, -1, -2],\n [0, -4, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-164
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 4, -4, -3],\n [4, -1, 4, 3],\n [0, 1, -2, -2],\n [3, 4, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1564
|
MATH
|
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