messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, 2, 2, -2],\n [2, 4, -2, 0],\n [2, -2, 0, 1],\n [-2, 0, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4397
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 1, 4, -1],\n [3, -4, -2, 2],\n [2, 4, 1, -1],\n [-2, -4, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
861
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 2, 0, -4],\n [-1, -3, 3, 2],\n [-1, 2, -3, 2],\n [-1, 0, -3, -4]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[2, -1, 4, 4],\n [-4, -4, -1, -4],\n [-1, -1, -3, 1],\n [-4, 2, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
176
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[-2, 4, -2, 0],\n [4, 0, 2, -2],\n [-2, 2, -2, -1],\n [0, -2, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-98
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 2, -4, 3],\n [1, 1, 0, 0],\n [-4, 0, 4, 2],\n [3, 1, -2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6089
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, 2, -1, 0],\n [2, 1, -2, -3],\n [-1, -2, 3, 0],\n [0, -3, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-44
|
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, -3, 0, -2],\n [0, 0, 1, -3],\n [-2, -2, -3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8818
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 0, -2, 2],\n [0, -2, 1, -2],\n [-2, 1, 2, 0],\n [2, -2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-109
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 0, 0, -1],\n [0, -3, 0, 2],\n [0, 0, 4, 0],\n [-1, 2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
97
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, -2, 1, -3],\n [4, 0, 0, -3],\n [-3, 0, 2, 4],\n [2, -1, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7322
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 2, -2, 0],\n [2, -1, 1, -4],\n [-2, 1, 3, 0],\n [0, -4, 0, -1]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-124
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 4, 1, -2],\n [4, -2, -3, 4],\n [1, -3, 3, 1],\n [-2, 4, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
676
|
MATH
|
[
{
"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[2, -4, -2, 2],\n [-4, -1, -4, 0],\n [-2, -4, 0, -1],\n [2, 0, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
324
|
MATH
|
[
{
"content": "What is the value at position (4, 1) of the matrix A^4 where A is:\n[[-2, 2, -1, 2],\n [4, -2, 0, -2],\n [-2, -1, -3, -3],\n [0, 0, 4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-24
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 1) of the result:\nA =\n[[2, -3, -2, 1],\n [-3, 2, -2, 4],\n [-2, -2, -1, 0],\n [1, 4, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-584
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 1, -2, 4],\n [-2, -1, 2, 0],\n [-1, 4, 1, -4],\n [-4, -4, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
740
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 0, 1, 3],\n [0, -3, 3, 2],\n [1, 3, 2, 0],\n [3, 2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1274
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, -1, 2, -1],\n [-1, -1, 0, 2],\n [2, 0, 2, -2],\n [-1, 2, -2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2357
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -2, -2, 3],\n [-2, -2, 0, -2],\n [-2, 0, -1, 0],\n [3, -2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
977
|
MATH
|
[
{
"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[4, 1, -2, 1],\n [1, 0, 0, -2],\n [-2, 0, -1, 0],\n [1, -2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -1, 2, -2],\n [3, 3, -3, -1],\n [2, 4, 1, 0],\n [-2, -4, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
460
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, -2, -2, -3],\n [-2, -4, -2, -1],\n [-2, -2, 0, 1],\n [-3, -1, 1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5097
|
MATH
|
[
{
"content": "What is the value at position (4, 1) of the matrix A^4 where A is:\n[[-3, 1, 2, -3],\n [1, 4, 0, -1],\n [2, 0, -3, 0],\n [-3, -1, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
422
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 0, 1, -3],\n [2, 0, -4, -1],\n [0, 1, 3, 1],\n [-2, 2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
380
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[4, 4, -3, 2],\n [1, -2, 4, -1],\n [-3, 3, 4, 3],\n [0, 2, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
310
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, -2, -2, 2],\n [-2, 0, 2, 1],\n [-2, 2, 3, 3],\n [2, 1, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3923
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -3, -4, 3],\n [0, -4, 4, -4],\n [-4, 4, -1, 1],\n [-4, 2, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1314
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 3, 0, 0],\n [3, 3, 0, 2],\n [0, 0, -2, 2],\n [0, 2, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1921
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 0, 2, -3],\n [2, -1, 2, -4],\n [-4, -1, -3, -1],\n [4, 2, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5635
|
MATH
|
[
{
"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[3, 1, -3, 0],\n [1, 1, -3, -2],\n [-4, -3, 2, 2],\n [-4, -2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1244
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 0, 2, -2],\n [0, 2, 0, -2],\n [2, 0, 4, -4],\n [-2, -2, -4, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-59
|
MATH
|
[
{
"content": "Find the value at position (1, 4) of the 3th power of the matrix:\n[[2, -4, -4, 2],\n [4, 1, -1, 2],\n [-1, -1, 0, 0],\n [-4, -2, -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^3 where A is:\n[[1, -2, 0, -2],\n [-2, 3, 0, 0],\n [0, 0, 2, 0],\n [-2, 0, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
472
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 2, -2, -3],\n [2, -3, 0, 1],\n [-2, 0, -3, -2],\n [-3, 1, -2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4412
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, -2, 0, 0],\n [-2, -2, 2, -3],\n [0, 2, 4, 1],\n [0, -3, 1, 0]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
54
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, -2, 0, 0],\n [-2, 4, -2, -2],\n [0, -2, 2, -1],\n [0, -2, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7090
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 0, 0, 2],\n [0, -4, 2, 0],\n [0, 2, 2, 4],\n [2, 0, 4, 0]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-16
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[2, 4, -1, 1],\n [4, 3, -2, 0],\n [-1, -2, 1, 2],\n [1, 0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1049
|
MATH
|
[
{
"content": "Find the value at position (2, 2) of the 4th power of the matrix:\n[[-1, 0, 0, -2],\n [0, -1, 0, 3],\n [0, 0, -1, -2],\n [-2, 3, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
316
|
MATH
|
[
{
"content": "What is the value at position (4, 4) of the matrix A^3 where A is:\n[[2, 4, -3, -2],\n [2, -2, 0, -1],\n [-4, -1, -1, -1],\n [1, 2, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-43
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, -3, -3, -1],\n [-3, -3, -2, -2],\n [-3, -4, 0, -1],\n [-1, 4, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-349
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 2, 0, 1],\n [2, 1, 2, 2],\n [0, 2, 0, 1],\n [1, 2, 1, 2]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
94
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 2) of the result:\nA =\n[[4, 3, 0, 0],\n [3, -4, 0, 0],\n [0, 0, -1, 0],\n [0, 0, 0, -4]]\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^4 where A is:\n[[-4, -3, -2, -4],\n [4, 1, 3, -4],\n [4, -3, -3, 4],\n [1, -4, 3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1890
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 2, 0, 0],\n [2, -1, 2, 1],\n [0, 2, 2, -2],\n [0, 1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
77
|
MATH
|
[
{
"content": "Find the value at position (2, 4) of the 3th power of the matrix:\n[[-3, 3, -1, 1],\n [3, -4, 4, 4],\n [-3, -3, -2, -3],\n [-3, -4, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
99
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 2, -1, -3],\n [1, 4, -4, 4],\n [-4, -3, -1, 4],\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"
}
] |
2190
|
MATH
|
[
{
"content": "Find the value at position (2, 4) of the 3th power of the matrix:\n[[4, -3, 1, -1],\n [4, 3, -3, 2],\n [4, 1, 3, 1],\n [2, 2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-14
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 3, -1, 0],\n [3, 1, -2, 0],\n [2, -4, -2, 4],\n [4, -1, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
142
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 2, -2, -2],\n [2, -3, 1, 2],\n [-2, 1, 0, -3],\n [-2, 2, -3, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
13469
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 4, 0, -4],\n [2, -2, 4, 3],\n [-1, -3, -2, 1],\n [3, 3, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
238
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, -1, -1, -2],\n [0, -2, -1, -3],\n [2, -4, 2, -3],\n [-4, 0, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-283
|
MATH
|
[
{
"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[4, 4, 1, -1],\n [0, 3, 3, 3],\n [-3, 4, -3, 4],\n [-4, 1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-229
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 2, -2, 0],\n [2, 1, -3, -1],\n [-2, -3, 4, 0],\n [0, -1, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-12
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 0, 0, 0],\n [0, -3, 1, -2],\n [0, 1, 0, 0],\n [0, -2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-24
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 0, 1, -3],\n [2, 0, 2, 1],\n [-1, 2, -2, 1],\n [-4, -2, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
308
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 4, 4, 1],\n [0, -3, -3, 1],\n [-1, -1, 2, 0],\n [-4, -2, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
462
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 3, 2, 0],\n [3, -3, 0, 2],\n [2, 0, -2, 0],\n [0, 2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8062
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, -1, -1, 0],\n [0, 1, -4, -1],\n [4, 3, -3, 4],\n [4, -4, 4, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2126
|
MATH
|
[
{
"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[-1, 0, -2, 2],\n [0, 3, 0, 0],\n [-2, 0, 3, -3],\n [2, 0, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[0, -1, 3, 0],\n [-1, 2, -2, 2],\n [3, -2, 0, 0],\n [0, 2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
238
|
MATH
|
[
{
"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[-1, 0, -4, 4],\n [1, 3, -4, 0],\n [4, -1, 2, 1],\n [2, -4, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-72
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 0, -2, 4],\n [0, -3, 0, -2],\n [-2, 0, -2, -2],\n [4, -2, -2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7822
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 1, 4, 2],\n [-2, -1, -4, -1],\n [1, 1, -1, -1],\n [0, -2, 2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-67
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 0, 2, -1],\n [0, -2, 0, 0],\n [2, 0, 1, -2],\n [-1, 0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
374
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, -1, -4, 1],\n [3, 1, -2, 4],\n [2, 3, -3, 3],\n [0, -2, 2, 3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
84
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -1, 2, -2],\n [-1, -2, 4, -3],\n [-3, 0, 1, 0],\n [2, -4, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3846
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, -4, 0, 3],\n [-1, -4, 4, 4],\n [-1, -1, 3, 1],\n [4, -1, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2372
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, 0, 0, -2],\n [0, 2, 0, 3],\n [0, 0, -4, 1],\n [-2, 3, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
799
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 3, 3, 4],\n [1, 2, -1, 2],\n [1, 4, 2, -1],\n [4, -3, 4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4705
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, -4, -4, -4],\n [0, -4, 1, -3],\n [1, -3, -3, -4],\n [0, -1, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-3690
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, -2, 4, 0],\n [-3, -1, 4, 2],\n [-3, 2, 4, -1],\n [-3, -4, 4, 3]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
12
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -1, -2, 2],\n [-1, 3, -1, -1],\n [-2, -1, -3, 0],\n [2, -1, 0, 1]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
59
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -3, 1, 1],\n [4, 1, 1, -1],\n [-2, 0, -4, -3],\n [2, -4, -1, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
682
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, -2, 2, 2],\n [-2, -4, 1, 0],\n [2, 1, -2, 0],\n [2, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
795
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 0, -2, -1],\n [-4, -4, -4, -4],\n [-2, -2, -1, 1],\n [-3, 2, 2, 4]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
105
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, 2, 0, -4],\n [2, 4, 3, 1],\n [0, 3, -2, -4],\n [-4, 1, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10017
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 0, -3, 3],\n [-1, 4, -2, 0],\n [-2, 0, -3, 1],\n [-2, 1, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
452
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -1, -1, 4],\n [4, -4, 2, 2],\n [-2, 4, 4, -2],\n [0, -4, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
212
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 0, 4, 1],\n [0, -1, -2, -2],\n [4, -2, 1, 0],\n [1, -2, 0, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6124
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, -2, 1, -4],\n [0, 4, -1, 3],\n [3, 3, -1, -3],\n [-1, 4, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
209
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 0, 0, 2],\n [0, -3, 0, 1],\n [0, 0, -4, 0],\n [2, 1, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-46
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, -4, 2, -1],\n [0, 4, -2, 0],\n [-2, -4, -3, -2],\n [-4, 2, -4, -1]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-42
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, -1, 4, 0],\n [-1, 0, -2, -1],\n [4, -2, 1, 2],\n [0, -1, 2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
167
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, -2, -2, -2],\n [-2, 2, 4, 0],\n [-2, 4, 3, 0],\n [-2, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
13938
|
MATH
|
[
{
"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[-1, -1, -2, 4],\n [-4, -2, 0, 2],\n [-4, -3, 3, -4],\n [-1, 0, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-148
|
MATH
|
[
{
"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[3, -2, -3, 2],\n [-2, 0, 0, 3],\n [-1, 2, 3, -2],\n [-4, -2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
50
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 0, 2, -2],\n [0, -2, 2, 2],\n [2, 2, -4, 2],\n [-2, 2, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
12
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 1) of the result:\nA =\n[[0, 0, 2, 4],\n [0, -3, 3, 0],\n [2, 3, 4, -1],\n [4, 0, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
246
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[-1, 0, -3, -4],\n [-4, -2, -4, 1],\n [-1, -3, -1, 3],\n [0, -2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-98
|
MATH
|
[
{
"content": "What is the value at position (4, 3) of the matrix A^3 where A is:\n[[2, 1, -1, 2],\n [1, 2, 0, -2],\n [-1, 0, -1, -2],\n [2, -2, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-30
|
MATH
|
[
{
"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[3, -1, -2, 0],\n [-1, 0, -2, -2],\n [-2, -2, -1, -2],\n [0, -2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-40
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 0, -2, 1],\n [0, 4, 0, -2],\n [-2, 0, -3, 2],\n [1, -2, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3330
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 4, -3, 1],\n [-3, 4, 1, 2],\n [4, -3, 0, 0],\n [2, -4, -2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4464
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 0, 0, 0],\n [0, 4, -1, 2],\n [0, -1, 3, 2],\n [0, 2, 2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
324
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, -4, -3, 0],\n [2, 2, 2, -1],\n [-1, -2, -2, 3],\n [4, 0, 4, 2]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-18
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 2) of the result:\nA =\n[[3, 2, 0, -2],\n [2, 3, -2, -4],\n [0, -2, -2, 2],\n [-2, -4, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1720
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, -3, -4, 3],\n [-4, 2, -1, -1],\n [2, 2, -1, -1],\n [0, 2, -4, -3]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-90
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 1) of the result:\nA =\n[[2, 0, -3, 1],\n [0, 1, 0, 0],\n [-3, 0, -2, 0],\n [1, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
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