messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[1, -2, 1, 0],\n [-2, -3, 0, 3],\n [1, 0, 1, 0],\n [0, 3, 0, 2]]\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[[3, -4, 1, -1],\n [3, 1, -2, 2],\n [-4, -3, -1, 3],\n [-3, -1, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
270
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, -2, -1, 0],\n [-2, -2, -1, 0],\n [-1, -1, -1, 0],\n [0, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
270
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -1, -1, 2],\n [-3, 3, -4, 1],\n [0, -4, 1, 4],\n [2, -4, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1162
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 4, 1, 1],\n [2, -2, 2, 0],\n [-3, 4, 3, 0],\n [1, 4, -3, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
305
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[0, 0, 1, -1],\n [0, -4, -1, 0],\n [1, -1, 3, 1],\n [-1, 0, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-69
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 0, 0, 1],\n [-3, 3, 0, 2],\n [-2, 1, 0, 4],\n [2, 0, -3, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
666
|
MATH
|
[
{
"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[3, -2, 1, 4],\n [-2, 0, -2, 0],\n [1, -2, -3, -3],\n [4, 0, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-44
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 4, -4, 3],\n [4, 1, 4, 3],\n [1, -2, -4, -4],\n [-2, -4, 1, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-51
|
MATH
|
[
{
"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[-2, 1, -2, -1],\n [1, -1, 0, 0],\n [-2, 0, -4, -2],\n [-1, 0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
16
|
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, -4, -4],\n [-1, 2, 3, -2],\n [-1, 3, -4, -2],\n [-1, -3, 3, 3]]\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 all entries of the result:\nA =\n[[4, 0, 2, 0],\n [0, -2, 2, 2],\n [2, 2, 0, -2],\n [0, 2, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
136
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -3, 2, -4],\n [2, 0, 2, -2],\n [1, 0, 3, 1],\n [4, -1, 1, 4]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
41
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, -1, -4, 4],\n [4, -1, 1, 0],\n [-3, -4, 4, 0],\n [-4, 0, -4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-2556
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[-1, -3, 2, -2],\n [3, -4, -3, -3],\n [1, 3, -2, 1],\n [4, 1, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-30
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 1, -3, 3],\n [-4, -1, -4, -1],\n [1, -2, -4, -4],\n [-2, 4, -4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-856
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, -2, -4, -2],\n [-2, 0, 0, 2],\n [-4, 0, 4, -2],\n [-2, 2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1030
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 1, 4, -2],\n [-3, 4, 0, -3],\n [0, 2, 4, -3],\n [0, -4, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1015
|
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, -1, 1],\n [-4, 0, -3, 1],\n [-1, 4, -1, 1],\n [1, -1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
388
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 0, 2, 4],\n [0, 3, -2, 0],\n [2, -2, 3, 0],\n [4, 0, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4091
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -1, 4, -4],\n [0, 0, -3, 4],\n [1, 1, 2, -4],\n [-2, -4, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-232
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -2, 2, 0],\n [-4, 3, 0, 0],\n [1, 3, -1, -3],\n [-4, -4, -4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-263
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -1, 0, 0],\n [-1, 3, -4, 1],\n [0, -4, -2, 2],\n [0, 1, 2, -3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-120
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 1, 3, -1],\n [1, -4, -2, 0],\n [3, -2, -4, -3],\n [-1, 0, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-509
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 0, -2, 0],\n [0, -1, 0, -2],\n [-2, 0, 2, -4],\n [0, -2, -4, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-322
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 4) of the result:\nA =\n[[-2, 2, 1, 0],\n [2, -2, -1, 2],\n [1, -1, -1, 2],\n [0, 2, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
100
|
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, 1, 3],\n [2, -4, -2, -1],\n [1, -2, -3, -1],\n [3, -1, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8878
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 3, 1, 1],\n [3, -1, 4, 3],\n [-4, 1, -4, 4],\n [4, -3, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1522
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, -2, -4, 0],\n [-2, -1, 4, 0],\n [-4, 4, -3, -2],\n [0, 0, -2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-916
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, -4, 0, 4],\n [2, 3, -2, -1],\n [3, 0, 2, -2],\n [1, 4, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1288
|
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, -2, -3],\n [0, 1, -1, 4],\n [-2, -1, -1, 3],\n [-3, 4, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1649
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 2, 2, 2],\n [-3, -1, -4, -1],\n [1, 1, -4, -4],\n [-3, 1, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
856
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 0, 0, 1],\n [0, -2, 0, -3],\n [0, 0, -2, 2],\n [1, -3, 2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
559
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -3, 2, 4],\n [2, -1, 0, 4],\n [-4, 0, 3, 2],\n [2, -4, -3, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-212
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, -2, -1, -2],\n [-2, 3, 0, 0],\n [-1, 0, 2, -3],\n [-2, 0, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-215
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 0, 2, 1],\n [0, 4, 2, -1],\n [2, 2, 1, 1],\n [1, -1, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
708
|
MATH
|
[
{
"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[-4, -2, 1, -1],\n [-2, 2, 0, 0],\n [1, 0, -1, -2],\n [-1, 0, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
58
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 0, -4, 2],\n [4, -3, 1, 3],\n [3, -2, -4, 1],\n [1, 3, 1, -3]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-694
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -4, -3, -3],\n [1, -3, 3, 3],\n [2, 4, -1, -4],\n [-1, 4, -4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-365
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 0, -2, -2],\n [0, -4, 1, 1],\n [-2, 1, 4, -2],\n [-2, 1, -2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2401
|
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, 4],\n [1, 4, -2, -2],\n [2, 0, 0, -1],\n [3, -4, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1494
|
MATH
|
[
{
"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[1, 2, 0, 0],\n [2, 1, -2, 0],\n [0, -2, 0, 2],\n [0, 0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-8
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -3, -3, 1],\n [-4, 3, -4, -3],\n [-3, 0, -1, 1],\n [1, -2, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
968
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -3, 4, 1],\n [4, 2, -1, 2],\n [0, 3, 0, -3],\n [-3, 0, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
802
|
MATH
|
[
{
"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[4, -2, -2, -2],\n [-2, -2, -2, 0],\n [-2, -2, 0, 0],\n [-2, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-48
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, -2, -1, 4],\n [-3, -3, 1, -4],\n [-4, 4, 0, 3],\n [4, -4, 2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2912
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, -1, 0, 2],\n [-1, -3, 0, -4],\n [0, 0, 2, -2],\n [2, -4, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-588
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 0, 2, -1],\n [2, -2, 2, -2],\n [0, 2, 2, -2],\n [2, -2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
416
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, -3, -2, -2],\n [2, 3, 2, -1],\n [0, 1, -2, -3],\n [0, 2, -4, 1]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
338
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, -4, -1, 3],\n [1, 4, 2, 3],\n [-2, 1, -1, 2],\n [2, 1, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-74
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, 0, 0, 0],\n [0, 2, 3, -2],\n [0, 3, -2, 2],\n [0, -2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
315
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, -3, 3, 4],\n [1, -2, 1, -2],\n [1, 0, -1, 2],\n [4, -3, 4, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
138
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 2, 0, 0],\n [2, 2, 1, 1],\n [0, -1, 1, 4],\n [-4, 3, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
236
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, -1, 2, -1],\n [1, -3, -3, -1],\n [3, -1, -1, -2],\n [2, 2, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3517
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 1, 0, 0],\n [1, -2, 1, 4],\n [0, 1, -4, 3],\n [0, 4, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
200
|
MATH
|
[
{
"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[3, 2, -2, 0],\n [2, -3, 0, 1],\n [-2, 0, -1, -1],\n [0, 1, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
77
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, 4, -2, 2],\n [-3, 4, 0, 1],\n [2, 0, 4, 4],\n [2, 0, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-2616
|
MATH
|
[
{
"content": "What is the value at position (1, 4) of the matrix A^3 where A is:\n[[2, 3, -2, 2],\n [2, -2, 2, -4],\n [0, -4, 2, -3],\n [-3, 2, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-30
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 4, 3, 2],\n [0, 3, -1, 4],\n [0, -1, 0, -2],\n [-4, -4, 0, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1523
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 3, 0, 2],\n [3, -1, -1, 2],\n [0, -1, 1, -2],\n [2, 2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
670
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 3, -3, 2],\n [-4, -1, -1, 2],\n [0, 1, -1, -4],\n [-4, 1, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-456
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -1, 1, 0],\n [-1, 3, 2, 4],\n [1, 2, 2, -2],\n [0, 4, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
183
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 1, 0, -3],\n [2, -2, -4, 4],\n [-3, 0, -2, 4],\n [-3, 2, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11972
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 0, 0, 0],\n [0, 3, 0, 0],\n [0, 0, 3, 1],\n [0, 0, 1, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
219
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, -1, -2, 2],\n [-1, -1, -1, 2],\n [-2, -1, 0, 0],\n [2, 2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2330
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 2, -2, 0],\n [2, -1, -2, 0],\n [-2, -2, 3, 0],\n [0, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
504
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -1, -4, -3],\n [3, 2, 1, -2],\n [-2, 0, 0, 4],\n [-3, 3, -4, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
568
|
MATH
|
[
{
"content": "Find the value at position (2, 2) of the 4th power of the matrix:\n[[-1, 3, 0, 2],\n [3, -2, -4, 0],\n [0, -4, 3, -4],\n [2, 0, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1422
|
MATH
|
[
{
"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[3, 1, 0, -1],\n [1, 0, -1, 0],\n [0, -1, 2, -2],\n [-1, 0, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
14
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 0, 3, -1],\n [2, -1, -4, -3],\n [-2, 3, 4, -1],\n [1, 0, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
452
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 2, -2, -1],\n [2, 1, -1, 0],\n [-2, -1, 2, -3],\n [-1, 0, -3, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-168
|
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, -3, -4],\n [1, 3, -4, 3],\n [3, 0, 4, 1],\n [3, -3, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2250
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, 0, 2, 4],\n [-2, 4, 3, 4],\n [-2, 0, -2, -4],\n [4, -4, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-374
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 0, 2, 0],\n [4, 3, -4, -2],\n [1, 4, -1, -2],\n [3, -1, 0, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1656
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 0, 0, -1],\n [0, -4, 4, 2],\n [0, 4, 0, 1],\n [-1, 2, 1, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
888
|
MATH
|
[
{
"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[-2, 1, -2, 0],\n [-3, 4, 0, 2],\n [1, 1, 1, 0],\n [3, 4, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
516
|
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, -3, -4],\n [-2, 0, -4, -2],\n [-4, 3, -3, 4],\n [2, 2, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2495
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 2, -1, -1],\n [4, -3, 2, 3],\n [0, -1, -2, -4],\n [-3, 0, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1667
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, 4, 0, 0],\n [4, 4, 0, -1],\n [0, 0, 3, 3],\n [0, -1, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4286
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, -3, 1, 0],\n [-4, 2, 3, -4],\n [1, -4, -1, -4],\n [1, -3, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3998
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[2, -4, 2, 2],\n [-4, 2, 2, -1],\n [2, 2, 2, 0],\n [2, -1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
22
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -1, 0, 2],\n [-1, -3, -2, 0],\n [0, -2, 4, -3],\n [2, 0, -3, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8314
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 2, -1, 2],\n [2, 0, -2, 4],\n [-1, -2, 4, -2],\n [2, 4, -2, -4]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-108
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 0, -1, -1],\n [0, 4, 0, -2],\n [-1, 0, -4, 2],\n [-1, -2, 2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-63
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 1, -1, -3],\n [4, 0, -3, 4],\n [-4, -3, -3, 0],\n [4, 4, -4, -3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-2
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 1, -4, 0],\n [1, -1, 4, 3],\n [-4, 4, -4, 0],\n [0, 3, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3115
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, -4, 3, -4],\n [-1, 1, -2, 1],\n [4, -4, 0, -4],\n [2, -2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-341
|
MATH
|
[
{
"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[4, -4, 1, 2],\n [-1, -1, -2, -3],\n [-2, -2, 0, -1],\n [4, -4, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2536
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 0, -1, -1],\n [0, 2, -2, 2],\n [-1, -2, 4, 0],\n [-1, 2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
306
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, 2, 0, 2],\n [2, -1, 2, 0],\n [0, 2, -1, -2],\n [2, 0, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-17
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, -1, -2, -3],\n [-2, -2, -3, -2],\n [-1, 1, 2, 1],\n [-3, -3, -1, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-337
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 2, 2, 3],\n [-2, 2, 1, -3],\n [-3, -1, 1, 3],\n [-2, 4, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
727
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 2, -2, -2],\n [0, -4, -3, -2],\n [0, -1, -2, 1],\n [1, -2, 0, -1]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
26
|
MATH
|
[
{
"content": "What is the value at position (3, 4) of the matrix A^3 where A is:\n[[0, -2, 0, 0],\n [-2, -4, -4, 1],\n [0, -4, 2, 0],\n [0, 1, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-4
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, 0, 4, 4],\n [3, 2, -3, -3],\n [0, 2, -1, 4],\n [-4, 4, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11344
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, -3, 0, 4],\n [-3, -4, 2, 3],\n [-4, -3, 2, -4],\n [2, 2, -4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2280
|
MATH
|
[
{
"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[-2, 4, -4, 2],\n [-2, -4, 4, -4],\n [1, 4, 2, 0],\n [-3, -2, 3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
222
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -4, 1, -3],\n [3, -1, 3, 2],\n [-2, 0, -2, 2],\n [0, -4, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
619
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 2, 0, 0],\n [2, -3, 2, 0],\n [0, 2, -2, 0],\n [0, 0, 0, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-46
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, -2, 2, 0],\n [-2, 1, 0, 2],\n [2, 0, -4, -2],\n [0, 2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1033
|
MATH
|
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