messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 0, 2, 4],\n [0, 2, 2, 0],\n [2, 2, -3, -2],\n [4, 0, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
650
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, 0, -2, -2],\n [0, -2, 0, 0],\n [-2, 0, -4, 1],\n [-2, 0, 1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2490
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -2, -2, -2],\n [-2, 3, 0, -2],\n [-2, 0, 2, 1],\n [-2, -2, 1, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2292
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 0, 3, -4],\n [2, 2, 1, -4],\n [-3, 4, -4, -1],\n [2, 0, -1, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
492
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[0, -2, 0, -2],\n [-2, 0, -1, 0],\n [0, -1, 1, 1],\n [-2, 0, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-3
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 2, 2, 2],\n [2, 1, 4, -2],\n [2, 4, 1, 0],\n [2, -2, 0, 4]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
93
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 4, 4, 0],\n [-3, 4, -3, 0],\n [-1, -2, -3, -1],\n [-3, 4, -3, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
421
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, -2, 1, 0],\n [-2, 1, 0, 1],\n [1, 0, 3, 2],\n [0, 1, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
126
|
MATH
|
[
{
"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[-2, 2, 1, 2],\n [2, -1, -2, 0],\n [1, -2, -2, 0],\n [2, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
216
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, -1, -1, 2],\n [-1, 0, 4, 2],\n [-1, 4, -4, -2],\n [2, 2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8148
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 1, 0, -2],\n [-3, 2, -4, 2],\n [-1, 3, 4, 1],\n [3, 0, -3, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
582
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 4, 2, -2],\n [4, 4, 0, 2],\n [2, 0, 1, 0],\n [-2, 2, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1124
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, -4, 4, -2],\n [-4, 2, 4, 3],\n [4, 4, -2, 0],\n [-2, 3, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5990
|
MATH
|
[
{
"content": "What is the value at position (1, 4) of the matrix A^3 where A is:\n[[-2, -4, 2, -4],\n [1, 0, 2, -4],\n [0, -2, 4, 3],\n [1, 1, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
40
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 0, -1, 0],\n [0, -3, 1, -2],\n [-1, 1, -1, 1],\n [0, -2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
280
|
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, 0],\n [-1, -4, 0, 0],\n [2, 0, 2, 1],\n [0, 0, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
284
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 3, -3, -4],\n [1, 3, 4, -2],\n [-2, 1, 4, 4],\n [4, -1, 1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3960
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 0, 4, -3],\n [0, 3, 0, -1],\n [4, 0, 1, -1],\n [-3, -1, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6333
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 3, 2, 0],\n [4, 2, -1, 0],\n [3, -1, 2, -1],\n [-1, -2, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
282
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 3, 4, 3],\n [-1, -3, -2, 3],\n [-1, -4, 2, -2],\n [4, -2, -4, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
432
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 0, 2, 0],\n [0, 0, 2, 0],\n [2, 2, 4, -4],\n [0, 0, -4, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
12313
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 4, -1, -4],\n [-1, 3, -1, 4],\n [-1, -2, 3, 3],\n [4, 2, 4, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2614
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 3, 0, -2],\n [3, 2, 0, 0],\n [0, 0, -1, 1],\n [-2, 0, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7759
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -2, 4, -4],\n [1, -4, -4, -2],\n [-3, -4, -4, 0],\n [-3, -3, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2556
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 0, -2, 0],\n [0, -2, 1, -2],\n [-2, 1, 2, 0],\n [0, -2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
268
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, -3, -3, 0],\n [-3, -1, -3, -4],\n [-3, -3, -1, 3],\n [0, -4, 3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
17962
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -3, -3, -2],\n [-3, -3, 4, -2],\n [-2, -3, 2, 2],\n [-1, -1, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
804
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, -4, 3, -3],\n [3, 2, 0, -3],\n [1, 4, 4, 1],\n [-3, -4, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3548
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, -3, -3, 1],\n [-3, -1, 4, -3],\n [-1, 0, -4, 0],\n [-2, 2, -4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2164
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 0, 2, -1],\n [0, 4, 1, -2],\n [2, 1, 1, 1],\n [-1, -2, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
500
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, -4, 0, 2],\n [-3, -3, 0, -3],\n [4, -1, 1, 2],\n [3, 3, -3, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2618
|
MATH
|
[
{
"content": "What is the value at position (4, 3) of the matrix A^3 where A is:\n[[-4, 1, 0, -2],\n [1, 2, -3, 2],\n [0, -3, -2, -4],\n [-2, 2, -4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-172
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, -3, 0, 1],\n [-3, 3, 2, 0],\n [0, 2, -1, 0],\n [1, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
413
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 2, 1, 0],\n [2, -3, 3, 0],\n [1, 3, -2, 1],\n [0, 0, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
300
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -1, -1, -1],\n [3, 1, -1, 0],\n [-2, -3, -2, 4],\n [3, -2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
744
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -2, 0, 0],\n [-2, -3, -2, -1],\n [0, -2, 2, -2],\n [0, -1, -2, -1]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-34
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, -3, -1, 0],\n [-2, 0, 1, -4],\n [2, 1, 2, -3],\n [1, 4, 3, 1]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-73
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 0, 1, 4],\n [4, 2, -3, -3],\n [2, 0, -2, 0],\n [0, 3, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
148
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, -1, 0, 2],\n [-1, 1, 2, 1],\n [0, 2, 1, 0],\n [2, 1, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
376
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -4, -2, 0],\n [-3, -4, 2, 0],\n [4, 1, -4, -1],\n [2, -1, 4, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1727
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, -1, -2, -1],\n [3, -3, -2, 3],\n [2, -3, 4, -4],\n [3, 2, -4, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
403
|
MATH
|
[
{
"content": "What is the value at position (4, 3) of the matrix A^4 where A is:\n[[2, 0, -2, -2],\n [0, 1, 0, 0],\n [-2, 0, -3, 0],\n [-2, 0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
108
|
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, 2, -1],\n [3, -2, -3, 2],\n [-3, 4, 2, 3],\n [-2, -1, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5160
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 4, -2, 4],\n [4, -4, -3, 2],\n [-2, -3, 3, -2],\n [4, 2, -2, 0]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2498
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 4, -4, 2],\n [-3, 4, 1, 3],\n [-3, 3, -4, 1],\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"
}
] |
1110
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[0, 3, 0, 2],\n [1, 0, -4, 4],\n [-1, 2, 1, 2],\n [-1, -2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-26
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, -2, 0, 4],\n [-2, 0, 2, -1],\n [0, 2, 4, 3],\n [4, -1, 3, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1161
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 1, 0, 0],\n [1, 2, -4, 3],\n [0, -4, 1, 1],\n [0, 3, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6160
|
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, 3, 0],\n [-4, -1, 3, 4],\n [2, 4, 0, -1],\n [-3, -3, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1696
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 2, -2, 0],\n [2, -4, 2, -2],\n [-2, 2, -2, -2],\n [0, -2, -2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
713
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 1, 2, -3],\n [-3, 2, 3, -3],\n [1, 2, -2, -3],\n [1, -2, 3, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3622
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 4, 2, 3],\n [4, 0, -1, -1],\n [2, -3, -3, 4],\n [-1, 0, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
862
|
MATH
|
[
{
"content": "What is the value at position (1, 4) of the matrix A^3 where A is:\n[[2, -2, 2, -2],\n [0, 3, -2, -2],\n [-1, 1, 3, 1],\n [3, -1, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
28
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 3, 1, 2],\n [3, 1, 0, -2],\n [1, 0, -1, -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"
}
] |
769
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -1, 2, -4],\n [-1, -1, -2, -1],\n [2, -2, -2, -2],\n [-4, -1, -2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1067
|
MATH
|
[
{
"content": "What is the value at position (1, 4) of the matrix A^4 where A is:\n[[3, 0, 2, -2],\n [0, -1, -2, 0],\n [2, -2, 4, 0],\n [-2, 0, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
18
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -3, -3, 3],\n [0, 0, -2, -2],\n [-2, -4, -2, -4],\n [0, 4, 4, 1]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
60
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 2, 4, 1],\n [4, -1, 0, -2],\n [1, -3, -1, 4],\n [3, -4, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1472
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -3, 1, 1],\n [-4, 3, 0, -1],\n [2, 1, 2, -4],\n [-2, 0, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, -3, -3, 0],\n [-4, 1, -1, 1],\n [1, -4, 4, -3],\n [1, -2, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1264
|
MATH
|
[
{
"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[1, -2, 4, 0],\n [-1, 3, 2, 1],\n [-1, 0, 4, 3],\n [2, 3, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
404
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 2, -3, 0],\n [3, 0, -4, 1],\n [-3, 0, 2, -4],\n [0, -2, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2631
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 2, -1, 1],\n [2, 1, 4, 1],\n [-1, 4, 0, 0],\n [1, 1, 0, 0]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
39
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 3, -4, -1],\n [4, 1, -1, 2],\n [-4, -3, -3, 1],\n [0, 1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6276
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -3, 4, -3],\n [4, -1, -2, -2],\n [-1, -3, 3, 4],\n [1, -4, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1030
|
MATH
|
[
{
"content": "Find the value at position (1, 4) of the 4th power of the matrix:\n[[1, 2, -2, 4],\n [2, 0, 2, 2],\n [-2, 2, -2, -1],\n [4, 2, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
492
|
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, 4, 3],\n [2, -1, -3, 3],\n [-1, 0, 2, -1],\n [-4, 1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
872
|
MATH
|
[
{
"content": "Find the value at position (1, 4) of the 4th power of the matrix:\n[[1, 1, 0, -2],\n [1, -4, -1, 2],\n [0, -1, -2, 0],\n [-2, 2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
252
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -2, 0, 2],\n [0, -2, 1, 2],\n [2, 4, 1, -4],\n [-3, 2, -3, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -4, 2, -2],\n [-2, 1, -1, 1],\n [2, 0, 2, 1],\n [-4, -1, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1228
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 4, -2, 4],\n [3, -2, 2, 1],\n [-4, 3, -1, -3],\n [3, 1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
788
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, -4, 0, -2],\n [-4, 4, -3, 2],\n [0, -3, 3, 0],\n [-2, 2, 0, 0]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1611
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -4, 4, -3],\n [1, 3, 0, -3],\n [-2, -1, -4, 1],\n [2, -2, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
767
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 4, -2, 0],\n [-1, 1, -3, 2],\n [-3, -2, -4, -2],\n [-2, -4, -4, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6903
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, 1, 0, 4],\n [1, -1, 1, 2],\n [3, 4, 4, 4],\n [0, -3, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7030
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 1, -4, 3],\n [1, 0, -3, 4],\n [-4, 3, -4, -3],\n [-1, 2, 1, -4]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
359
|
MATH
|
[
{
"content": "What is the value at position (2, 1) of the matrix A^4 where A is:\n[[-3, 0, 0, 2],\n [0, 0, 0, 0],\n [0, 0, -4, -1],\n [2, 0, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[2, -4, 4, 1],\n [3, 2, -1, 4],\n [4, 1, 3, 1],\n [-2, -2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-17
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -2, 2, -4],\n [0, -1, 1, 0],\n [3, -4, -4, -3],\n [1, -1, -1, 4]], determine the value at position (2, 3).\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 3th power of the matrix:\n[[-3, 4, 3, 4],\n [-1, 3, -2, 3],\n [2, 2, 3, -3],\n [3, 1, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
860
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[-2, 0, 2, 1],\n [-2, 4, -4, 2],\n [-3, 4, 0, -2],\n [4, -3, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-798
|
MATH
|
[
{
"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[2, -1, -1, -2],\n [-1, 1, 3, 0],\n [-1, 3, -1, -2],\n [-2, 0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
290
|
MATH
|
[
{
"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[2, 3, 0, 0],\n [3, 2, 2, 0],\n [0, 2, 4, -1],\n [0, 0, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
670
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, -3, -1, 2],\n [1, 1, -2, 3],\n [3, -1, -2, 1],\n [2, 0, -3, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1238
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 0, 4, -3],\n [-1, -3, 3, -3],\n [1, -3, 3, 4],\n [4, -3, 3, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7851
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 2, -2, 0],\n [2, 3, 1, 2],\n [-2, 1, 2, -3],\n [0, 2, -3, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2565
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 3) of the result:\nA =\n[[0, -2, 0, -4],\n [2, 1, 0, -1],\n [-3, 2, -4, -4],\n [-3, 2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
78
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 2, -2, 0],\n [2, -2, -1, 2],\n [-2, -1, -2, 2],\n [0, 2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1658
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 4, 2, 0],\n [1, -1, -1, 3],\n [3, -1, -3, 3],\n [2, -3, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1298
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 0, 4, 0],\n [0, -1, 1, 0],\n [4, 1, -1, 0],\n [0, 0, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
969
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 1, -4, -2],\n [-1, -2, -1, -3],\n [-2, 0, -3, 4],\n [2, 0, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1030
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, 0, -1, 1],\n [0, 0, 0, 2],\n [-1, 0, 0, -2],\n [1, 2, -2, 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[[3, -1, -1, 2],\n [0, 0, -2, -4],\n [-4, -4, 4, 2],\n [-3, -2, 1, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1452
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -1, 0, 4],\n [-3, -3, -3, -1],\n [-2, -2, 3, -1],\n [3, 0, 1, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
932
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, -4, 0, 1],\n [-4, 3, 1, -1],\n [0, 1, 1, 2],\n [1, -1, 2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
42
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 0, 0, 0],\n [0, -1, 0, -3],\n [0, 0, 1, 2],\n [0, -3, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
32
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[0, 0, 0, 2],\n [0, 3, 0, 2],\n [0, 0, 1, 0],\n [2, 2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, 0, -3, -2],\n [-4, -4, -4, 3],\n [3, 2, -4, 1],\n [3, -1, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4748
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 2, 4, -4],\n [2, 0, 1, 1],\n [4, 1, 1, -2],\n [-4, 1, -2, -2]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-3
|
MATH
|
[
{
"content": "Find the value at position (4, 4) of the 3th power of the matrix:\n[[-2, -1, -2, -4],\n [-1, -1, 0, 4],\n [-2, 0, -3, 2],\n [-4, 4, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
356
|
MATH
|
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