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^3 where A is:\n[[2, -4, -4, -2],\n [-3, -4, -2, 4],\n [3, -1, 0, 2],\n [4, 1, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-148
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, 1, 3, 0],\n [-3, 4, 1, 0],\n [1, -2, -3, 2],\n [-4, -4, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
169
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -1, 0, -4],\n [-1, 2, -2, -2],\n [0, -2, 3, -1],\n [-4, -2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
714
|
MATH
|
[
{
"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[2, -1, -3, -3],\n [-4, -1, -1, 2],\n [-1, -1, 4, 3],\n [0, -1, -4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, 1, 1, 3],\n [4, 0, -4, 4],\n [0, -4, 1, -2],\n [-2, -3, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2750
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 4, -2, -2],\n [4, 4, -1, 0],\n [-2, -1, -3, -1],\n [-2, 0, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11342
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 2, -4, 2],\n [2, 4, -1, -1],\n [0, -3, 4, 1],\n [4, -2, 4, -2]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
801
|
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, -4, -2],\n [2, 3, -1, 2],\n [-4, -1, -2, -2],\n [-2, 2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8934
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -2, 2, 0],\n [-2, -1, 0, -2],\n [2, 0, -1, -2],\n [0, -2, -2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
414
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, 1, 4, 2],\n [0, 2, -2, 4],\n [-4, 0, -3, -1],\n [4, 1, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1507
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -4, -4, -1],\n [1, -1, 0, -1],\n [4, 3, 3, -1],\n [-1, -3, 3, -2]], determine the value at position (4, 3).\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 (1, 3) of the result:\nA =\n[[-2, -1, -2, 4],\n [-3, -1, -2, -3],\n [3, -3, 1, 0],\n [-1, 0, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
130
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, 0, -2, 2],\n [0, -3, -1, -1],\n [-2, -1, -1, -2],\n [2, -1, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4786
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 0, -3, 0],\n [0, 3, 4, -1],\n [-3, 4, -3, -4],\n [0, -1, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2372
|
MATH
|
[
{
"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[2, 3, 2, 0],\n [3, -4, 0, 1],\n [2, 0, 2, 3],\n [0, 1, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
470
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 0, -2, 2],\n [0, -3, -3, 3],\n [-2, -3, 4, 2],\n [2, 3, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
19
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, -2, 2, -4],\n [-2, 4, -2, -2],\n [2, -2, -2, 0],\n [-4, -2, 0, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
272
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 0, -1, -2],\n [0, -4, -2, -2],\n [-1, -2, 0, 0],\n [-2, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4418
|
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, -1, 2],\n [4, 3, 4, 2],\n [-1, 4, -1, 0],\n [2, 2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1499
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 0, -3, -3],\n [3, -2, -2, -3],\n [-2, 2, -4, 4],\n [-4, 2, -4, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1316
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 0, 4, 2],\n [0, -1, 2, -1],\n [4, 2, 0, 0],\n [2, -1, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
45
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 0, 0, 0],\n [0, -3, 1, 2],\n [0, 1, -2, -1],\n [0, 2, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
425
|
MATH
|
[
{
"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[4, -3, -2, -4],\n [-4, 2, 2, -3],\n [-2, 1, -3, 0],\n [1, 2, 4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
281
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -4, 4, -4],\n [4, -2, -2, 1],\n [1, -2, -2, -2],\n [-1, 0, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1288
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, -1, 0, 0],\n [-1, 2, 2, -2],\n [0, 2, 4, -2],\n [0, -2, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
850
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 0, 1, 3],\n [0, -2, 0, 2],\n [-1, 0, 4, -1],\n [4, 2, -1, 2]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
82
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 1, -2, -2],\n [1, 3, 0, -2],\n [-2, 0, 0, 0],\n [-2, -2, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
504
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 2, 3, 1],\n [-3, 4, -2, -4],\n [0, -2, 2, 1],\n [4, 1, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-276
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-1, 1, 4, 0],\n [-3, 3, 3, -2],\n [-3, 3, 3, -2],\n [-2, 4, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
91
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 2, -1, -4],\n [2, 2, 1, -2],\n [-1, 1, 2, 3],\n [-4, -2, 3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
900
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 1, -2, -3],\n [-2, 2, -4, -4],\n [-1, 0, -4, 4],\n [-1, -2, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1236
|
MATH
|
[
{
"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[1, 0, 0, 0],\n [0, 0, 0, 1],\n [0, 0, 4, 0],\n [0, 1, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-33
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -2, 4, -2],\n [1, 0, -2, -1],\n [4, -4, -2, -4],\n [-3, 4, -4, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
546
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, -2, -3, 3],\n [-1, -4, 0, 2],\n [4, 3, -2, 3],\n [4, -3, 4, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1397
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, -1, 2, 2],\n [-1, 3, -3, 0],\n [2, -3, -4, -2],\n [2, 0, -2, 4]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-209
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[-4, -2, -3, 4],\n [2, -4, -1, 2],\n [0, 0, -3, 4],\n [-4, -4, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
378
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 0, 0, 2],\n [0, -2, 2, 2],\n [0, 2, 2, 0],\n [2, 2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
206
|
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, -4],\n [2, 0, 4, 4],\n [-1, -3, 4, -3],\n [-1, -1, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7892
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 2, 1, 0],\n [2, 2, 1, 0],\n [1, 1, 2, -4],\n [0, 0, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-121
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 2, 2, -4],\n [2, 3, -4, 2],\n [2, -4, -4, -3],\n [-4, 2, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1048
|
MATH
|
[
{
"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[-1, 3, 1, 2],\n [-2, -1, 3, -1],\n [-2, -4, -1, 2],\n [-2, 3, 3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
26
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, -1, -3, -2],\n [4, -2, 3, 0],\n [3, 4, -2, 3],\n [3, 1, 3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-550
|
MATH
|
[
{
"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[1, -4, 3, -4],\n [4, -4, 0, 1],\n [2, -3, 0, 4],\n [4, 1, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
36
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 0, -2, -1],\n [0, -2, 2, -2],\n [-2, 2, 0, 0],\n [-1, -2, 0, -2]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
45
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 2) of the result:\nA =\n[[-1, -2, 4, 0],\n [-1, -2, -4, 0],\n [-3, -1, 3, -3],\n [-3, -1, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
24
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 3, 0, -4],\n [-2, 4, 1, 0],\n [-1, -3, 3, -4],\n [0, -4, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5960
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[-2, 2, 0, 0],\n [2, 3, 0, 2],\n [0, 0, -3, 2],\n [0, 2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-102
|
MATH
|
[
{
"content": "Find the value at position (1, 4) of the 4th power of the matrix:\n[[2, 3, -4, -2],\n [2, 3, -3, -3],\n [1, 3, 1, -3],\n [-2, 0, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
205
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 1, 0, -3],\n [4, -2, 4, 2],\n [-2, -3, 3, -1],\n [-2, 3, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4602
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, -3, 0, 0],\n [-1, -2, -1, 1],\n [4, 2, -1, -4],\n [1, 0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
46
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, -4, 1, 3],\n [2, 1, 1, 2],\n [1, -1, 0, -1],\n [-2, 0, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-133
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, 2, 3, 0],\n [2, 4, 1, 0],\n [3, 1, -2, 2],\n [0, 0, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1825
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -2, 4, -1],\n [1, 2, 2, 1],\n [4, 3, -3, -4],\n [4, -4, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
791
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, -4, -2, -1],\n [0, -2, 1, 1],\n [4, 4, -1, -2],\n [-2, 4, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1047
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 0, 0, 2],\n [0, 2, -1, 0],\n [0, -1, 2, -1],\n [2, 0, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 2, -2, 3],\n [-1, 2, 1, 3],\n [1, 1, -4, -3],\n [-4, 0, -3, 4]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-124
|
MATH
|
[
{
"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[3, 0, -4, -3],\n [0, -2, -2, -1],\n [-4, -2, 3, -2],\n [-3, -1, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-102
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 0, -1, -2],\n [0, -2, 0, -2],\n [-1, 0, 2, 0],\n [-2, -2, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3006
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, 3, 0, -2],\n [3, 1, -2, 0],\n [0, -2, -4, -3],\n [-2, 0, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4417
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 2, -4, 0],\n [1, 4, -1, -3],\n [0, 3, 3, 4],\n [2, 2, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-275
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 0, -1, 1],\n [1, 1, 3, 3],\n [4, 0, 2, -3],\n [-4, 2, 4, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1152
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, -1, 0, 0],\n [-1, 3, 0, 2],\n [0, 0, -2, 2],\n [0, 2, 2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3705
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -2, -1, 2],\n [4, 1, 1, 2],\n [0, -1, -1, 3],\n [1, 4, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
692
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 1, 0, -2],\n [1, -4, -4, 2],\n [0, -4, 0, 0],\n [-2, 2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-235
|
MATH
|
[
{
"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[4, 0, 1, 2],\n [0, -3, 2, 0],\n [1, 2, 2, -2],\n [2, 0, -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[[1, 4, -1, -3],\n [4, 3, 0, 3],\n [-1, 0, 0, -2],\n [-3, 3, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
533
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -1, 1, -1],\n [2, -1, 1, -1],\n [-2, -2, 4, 4],\n [4, 4, 1, -3]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-242
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 2) of the result:\nA =\n[[-2, 0, 2, 2],\n [0, -3, 1, 0],\n [2, 1, -3, -1],\n [2, 0, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
141
|
MATH
|
[
{
"content": "What is the value at position (4, 4) of the matrix A^3 where A is:\n[[-4, 2, -3, -4],\n [3, 0, 2, 3],\n [3, 1, 4, 3],\n [-2, 0, -3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-91
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 2, 2, -2],\n [2, -4, -1, 0],\n [2, -1, -2, 0],\n [-2, 0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-61
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, -2, 0, 3],\n [-2, 3, 0, 3],\n [0, 0, -2, 3],\n [3, 3, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7676
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 2, -2, 2],\n [2, 0, 1, 1],\n [-2, 1, 2, 0],\n [2, 1, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
90
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 1, 1, -2],\n [1, -2, 0, -1],\n [-1, -2, -1, 0],\n [3, -4, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1009
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 2, -2, 3],\n [2, -4, -2, -2],\n [-2, -2, -2, -2],\n [3, -2, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-304
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, -1, 2, 2],\n [-1, 2, 3, -2],\n [-3, -3, 0, 2],\n [4, -4, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1335
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, -3, 2, -1],\n [2, -3, -1, 2],\n [2, -4, -4, 2],\n [-4, -2, -2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
292
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 2, -1, 0],\n [2, -1, 0, 3],\n [-1, 0, -2, 2],\n [0, 3, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
642
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 0, -4, -2],\n [0, -2, -1, -2],\n [-4, -1, 1, 0],\n [-2, -2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
832
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, -3, 1, -4],\n [-3, 4, 1, -4],\n [4, 4, -2, 4],\n [1, 4, -4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1067
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, -1, -3, -1],\n [1, 1, 2, 1],\n [-3, 0, 0, 4],\n [3, 1, 3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-2
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 4, 0, 1],\n [4, -4, 2, 0],\n [0, 2, -3, 2],\n [1, 0, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
57
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, -2, 0, -2],\n [-2, 0, -4, -1],\n [0, -4, -1, 0],\n [-2, -1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2108
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, -4, 2, 0],\n [-4, 0, 0, 0],\n [0, 4, -4, 4],\n [3, -4, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2056
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, 0, 0, 0],\n [0, -3, 2, 0],\n [0, 2, -2, 2],\n [0, 0, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1738
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, -3, 2, 3],\n [1, 2, 4, -3],\n [4, -4, 4, 4],\n [1, 2, -2, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
436
|
MATH
|
[
{
"content": "Find the value at position (2, 1) of the 4th power of the matrix:\n[[1, -3, -1, -4],\n [1, -3, -1, -1],\n [-3, -2, 2, 1],\n [-3, 0, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
46
|
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 [-2, 3, 0, 0],\n [1, -3, -4, -1],\n [-3, 2, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
941
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 4) of the result:\nA =\n[[-3, 4, -3, -1],\n [-4, -1, 0, -4],\n [1, 3, 3, 1],\n [1, -4, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-100
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 0, -3, 3],\n [4, 3, -2, 2],\n [0, 2, 0, 3],\n [4, 0, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-93
|
MATH
|
[
{
"content": "What is the value at position (4, 3) of the matrix A^3 where A is:\n[[1, 0, 2, -3],\n [0, 3, -4, 1],\n [2, -4, 0, 2],\n [-3, 1, 2, 2]]?\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[[-1, -2, -3, -2],\n [2, 3, -1, 4],\n [1, -4, -3, 0],\n [-4, 3, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6174
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -3, 1, -4],\n [-4, 2, 1, 2],\n [4, 0, 0, 2],\n [-3, -1, -2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-429
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 0, 0, 2],\n [0, -3, -1, 3],\n [0, -1, -4, -2],\n [2, 3, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
106
|
MATH
|
[
{
"content": "What is the value at position (3, 2) of the matrix A^4 where A is:\n[[2, -2, -3, 2],\n [-2, -3, -3, 4],\n [-3, -3, -3, 4],\n [2, 4, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5243
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, 3, 2, 1],\n [3, 0, 0, 0],\n [2, 0, 3, 0],\n [1, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1463
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 2, -2, 2],\n [-4, 4, -3, 1],\n [4, -4, -4, 2],\n [-3, 2, -3, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
451
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -2, 2, 2],\n [-2, 2, -2, -2],\n [2, -2, 4, 0],\n [2, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1416
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 3, 3, 4],\n [-4, -3, -3, 0],\n [1, 4, 3, 4],\n [-4, 1, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10881
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, -4, 1, 1],\n [-4, 3, -3, -2],\n [4, 0, 0, -2],\n [4, 4, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
830
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 2, 0, 4],\n [-2, 4, 1, -1],\n [-1, 4, 3, 0],\n [-3, -2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-224
|
MATH
|
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