messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, -1, -2, 3],\n [-1, -3, 2, -2],\n [-2, 2, -3, -4],\n [3, -2, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1881
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, 0, -4, -3],\n [0, -4, 3, 1],\n [4, -3, -1, 0],\n [-1, -4, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1416
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 3, -1, 0],\n [3, 4, 0, 1],\n [-1, 0, -1, 2],\n [0, 1, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
380
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, -1, -1, -4],\n [2, 3, 4, -3],\n [-4, 3, 0, 2],\n [4, 3, -4, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8280
|
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, 2, 4],\n [0, -4, 2, -3],\n [4, 1, 3, 3],\n [1, -2, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1308
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 2, 0, -1],\n [0, 0, -1, -2],\n [2, -2, -1, -1],\n [-4, 2, -3, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1196
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, 0, 4, -2],\n [0, 1, -1, -2],\n [4, -1, 0, -1],\n [-2, -2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1981
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 1, 1, 0],\n [1, -1, 1, 3],\n [1, 1, 0, 0],\n [0, 3, 0, 2]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
12
|
MATH
|
[
{
"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[-2, -4, 2, 0],\n [-4, 4, 0, 0],\n [2, 0, -4, 1],\n [0, 0, 1, 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[[0, -2, 0, 0],\n [-2, 4, -3, 1],\n [0, -3, 1, -2],\n [0, 1, -2, 1]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-22
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 4, 1, -1],\n [-1, -2, -4, -4],\n [1, 2, 4, 3],\n [1, 2, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-48
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 0, 1, -2],\n [0, 0, 0, 1],\n [1, 0, 3, 2],\n [-2, 1, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
66
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[1, 2, 3, 2],\n [1, 3, 2, 2],\n [0, -3, 1, -2],\n [-2, -2, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-27
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 2, 2, -4],\n [-1, -1, -4, 4],\n [-4, 0, 2, 3],\n [-4, -2, 1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3129
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, -4, 4, -2],\n [3, -1, -4, 0],\n [3, 1, -1, 3],\n [3, 4, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3543
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[1, -1, 3, 2],\n [-3, 2, 0, 2],\n [2, 4, -4, -4],\n [0, 3, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
80
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, -2, -4, 0],\n [-2, -3, 0, -2],\n [-4, 0, -4, -1],\n [0, -2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6998
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, 0, 0, 0],\n [0, -1, -2, -1],\n [0, -2, 3, 2],\n [0, -1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1746
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -2, -1, 4],\n [-2, 3, 1, -2],\n [3, -4, 3, 2],\n [1, 4, 1, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
674
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, -2, -3, 0],\n [-2, 0, -2, -2],\n [-3, -2, 2, 0],\n [0, -2, 0, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3665
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 0, 2, 3],\n [0, -4, -1, -2],\n [2, -1, -1, -1],\n [3, -2, -1, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-202
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -2, 0, 2],\n [-2, -2, 2, 0],\n [0, 2, -1, 1],\n [2, 0, 1, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
368
|
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, 1, 0],\n [0, -4, 0, -2],\n [1, 0, 3, 0],\n [0, -2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
295
|
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, -4],\n [-1, 1, 1, 1],\n [2, 1, 4, 0],\n [-4, 1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1494
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 0, -1, 1],\n [0, -4, 0, 2],\n [-1, 0, -4, -1],\n [1, 2, -1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1384
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 4, 1, -3],\n [-3, -2, -1, -1],\n [3, -1, -4, -1],\n [0, 3, 1, 4]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
64
|
MATH
|
[
{
"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[2, 1, 1, 0],\n [-4, 0, -4, -2],\n [-3, -1, 3, -3],\n [-4, 3, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-145
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, -2, -4, 0],\n [-2, 2, 2, -2],\n [-4, 2, -1, 0],\n [0, -2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
394
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 4, -1, -3],\n [3, -2, -3, 3],\n [0, 3, -3, -3],\n [0, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6178
|
MATH
|
[
{
"content": "What is the value at position (4, 2) of the matrix A^3 where A is:\n[[-1, 3, -2, -2],\n [3, 4, -2, 0],\n [-2, -2, 3, -2],\n [-2, 0, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 2) of the result:\nA =\n[[3, 4, -2, 0],\n [4, 1, -2, 0],\n [-2, -2, 4, -2],\n [0, 0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1181
|
MATH
|
[
{
"content": "What is the value at position (1, 2) of the matrix A^4 where A is:\n[[-1, 2, 1, 0],\n [-4, -3, 3, -4],\n [-4, -1, -4, -3],\n [0, -3, -4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -2, 2, -1],\n [-2, 3, -1, 2],\n [2, -1, 0, 0],\n [-1, 2, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2310
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 4, -4, -1],\n [2, 4, 3, -1],\n [-3, 3, 1, -2],\n [-4, -4, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2195
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, -2, 3, 0],\n [1, 3, 2, 3],\n [4, -1, -1, -3],\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"
}
] |
4007
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[-2, -4, 2, 1],\n [0, 2, -1, -3],\n [4, 1, 1, 4],\n [-4, -4, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-172
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 2, -2, 0],\n [2, -2, 1, -1],\n [-2, 1, 1, 2],\n [0, -1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-14
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -3, 3, 2],\n [1, -4, -4, -1],\n [-2, -3, 2, -2],\n [2, 1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1064
|
MATH
|
[
{
"content": "Find the value at position (2, 1) of the 4th power of the matrix:\n[[3, 0, 2, 1],\n [0, -3, 0, 0],\n [2, 0, -3, -2],\n [1, 0, -2, -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 sum of all entries of the result:\nA =\n[[3, 0, -4, 0],\n [0, -1, 2, 0],\n [-4, 2, -3, 0],\n [0, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-125
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[-4, -4, -4, 3],\n [3, 4, 3, 1],\n [-1, 3, 1, -2],\n [2, 4, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
72
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 0, -2, 4],\n [0, -4, -1, 4],\n [-2, -1, -1, 0],\n [4, 4, 0, -4]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2462
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, -2, 1, -2],\n [-2, -3, -1, 0],\n [1, -1, 2, 0],\n [-2, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-85
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[-2, -2, -2, -1],\n [-2, 3, 0, 0],\n [-2, 0, 1, 0],\n [-1, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-32
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, -1, 2, -2],\n [0, 1, -1, 3],\n [0, 4, -4, -3],\n [1, 3, 3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-279
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -4, 4, -4],\n [0, -1, -2, 3],\n [3, -1, -4, -4],\n [2, 1, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5236
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 4, 0, -4],\n [-1, -2, 0, -2],\n [-4, 2, 2, -1],\n [-4, 2, 0, 1]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8
|
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 [4, 3, -2, 4],\n [-3, -1, -2, 4],\n [-4, -2, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
17443
|
MATH
|
[
{
"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[-4, 1, -1, 3],\n [2, -2, -2, 4],\n [1, 4, -4, 0],\n [4, -3, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-26
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[2, -2, 2, 2],\n [-4, 3, -2, -3],\n [-3, 3, -2, 1],\n [0, 2, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
326
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 2, 0, -2],\n [2, -2, -1, 1],\n [0, -1, 1, 1],\n [-2, 1, 1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1428
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -1, 2, -2],\n [-1, -3, 3, -4],\n [2, 3, 4, 1],\n [-2, -4, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-265
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[-2, -2, 3, 2],\n [-2, -4, -2, -2],\n [3, -2, 1, 0],\n [2, -2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
122
|
MATH
|
[
{
"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[-3, -4, -3, 0],\n [-4, -3, 4, 0],\n [-3, 4, 2, -2],\n [0, 0, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
129
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 1, -3, -2],\n [-4, 3, 4, 1],\n [3, 1, 1, 1],\n [4, 2, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
840
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 0, 2, 2],\n [0, -4, 0, -4],\n [2, 0, -3, 3],\n [2, -4, 3, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10225
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[3, 1, 0, 3],\n [1, -1, 4, -2],\n [0, 4, 4, -2],\n [3, -2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-20
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 2, 0, 2],\n [2, -1, -1, 1],\n [0, -1, 3, 3],\n [2, 1, 3, 0]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
296
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 0, -2, -1],\n [1, -3, -1, 2],\n [-1, 3, 4, 4],\n [2, -4, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2333
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, -2, 4, -2],\n [3, -4, -2, -1],\n [-1, -1, 4, -3],\n [-1, 1, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-228
|
MATH
|
[
{
"content": "Find the value at position (4, 3) of the 3th power of the matrix:\n[[-3, 3, 2, 1],\n [2, -3, -1, 4],\n [-4, -1, 1, -4],\n [-4, -1, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 3, 3, 3],\n [-1, 4, -2, -4],\n [-3, 2, 1, 2],\n [3, 3, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-648
|
MATH
|
[
{
"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[-3, 2, 0, 0],\n [2, -1, -1, 0],\n [0, -1, -2, -2],\n [0, 0, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
354
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -4, 1, 4],\n [1, 2, -2, -4],\n [4, 4, 4, -1],\n [1, 0, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
16
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, -1, 0, -3],\n [-1, 1, -3, 2],\n [-1, 4, -4, -3],\n [4, -1, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-144
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 4, -4, 0],\n [4, 2, -2, 2],\n [-4, -2, 3, 1],\n [0, 2, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-188
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, -2, 0, 2],\n [-2, -1, -2, 4],\n [0, -2, 4, 1],\n [2, 4, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6287
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 3, -3, -2],\n [-4, 2, 0, -2],\n [-4, -3, 2, 1],\n [4, 3, -1, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
684
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 4, 2, 1],\n [0, 0, 1, 4],\n [-1, 2, 3, -3],\n [4, 3, -3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
957
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 0, 2, 1],\n [0, -4, -2, 0],\n [2, -2, -4, 1],\n [1, 0, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4574
|
MATH
|
[
{
"content": "What is the value at position (4, 3) of the matrix A^3 where A is:\n[[-3, 1, 1, 0],\n [1, 1, -1, 0],\n [1, 2, -3, -1],\n [0, 3, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
12
|
MATH
|
[
{
"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[-3, -1, -3, 2],\n [-1, 3, 1, 0],\n [-3, 1, 1, 0],\n [2, 0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
209
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 1, 0, 0],\n [1, -3, -1, 0],\n [0, -1, 3, 2],\n [0, 0, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
45
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, -3, -2, -3],\n [-3, -3, 4, 4],\n [2, -4, 0, 3],\n [-1, -4, 4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-613
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 0, 2, 0],\n [0, 2, 0, 0],\n [2, 0, 0, 4],\n [0, 0, 4, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2672
|
MATH
|
[
{
"content": "Find the value at position (4, 2) of the 3th power of the matrix:\n[[-4, -1, 0, -3],\n [-4, -3, -2, 2],\n [-2, 3, 1, 4],\n [-2, 0, -1, 2]]\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[[-1, -3, 2, 0],\n [3, 4, 3, -3],\n [-3, 1, -4, 0],\n [1, 3, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
14
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[-2, 0, -1, 0],\n [0, 1, 0, 0],\n [-1, 0, 2, -2],\n [0, 0, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-10
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 4, -2, -4],\n [-4, 0, 1, 1],\n [-3, -3, -3, 1],\n [0, 0, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-698
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 2, 0, 4],\n [-3, 1, -3, 3],\n [1, 3, 0, 0],\n [-2, 3, -3, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-642
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 0, -1, 2],\n [0, -1, -2, -3],\n [-1, -2, -2, -1],\n [2, -3, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-476
|
MATH
|
[
{
"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[2, 1, -1, -2],\n [1, -1, 1, -2],\n [-1, 1, 2, 0],\n [-2, -2, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-84
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, -2, 2, 0],\n [4, 4, -1, -4],\n [0, -2, 3, 2],\n [-4, -2, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, 0, 0],\n [0, -2, 3, -2],\n [0, 3, -4, 0],\n [0, -2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3838
|
MATH
|
[
{
"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[2, 2, 0, -1],\n [1, -1, 1, -3],\n [-4, 4, 2, -2],\n [0, 3, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
75
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -2, 0, -2],\n [-2, 0, 3, -1],\n [0, 3, 4, 0],\n [-2, -1, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
952
|
MATH
|
[
{
"content": "Find the value at position (1, 4) of the 3th power of the matrix:\n[[-3, -4, 2, -4],\n [0, 1, -4, -2],\n [4, 4, -3, -3],\n [-2, -3, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-188
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 0, 2, 0],\n [0, 4, 2, -1],\n [2, 2, 1, 0],\n [0, -1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
433
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 0, -2, 2],\n [-2, -3, 1, -4],\n [2, 2, -1, 2],\n [0, 2, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-357
|
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, 0],\n [0, 4, 4, 1],\n [-2, 4, 1, -2],\n [0, 1, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1198
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, -3, 2, 0],\n [-4, -1, 4, 4],\n [2, 3, 2, -4],\n [-1, -1, 4, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-66
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 3, -4, -3],\n [3, 2, 0, 1],\n [-4, 0, 2, 2],\n [-3, 1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11019
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 0, 1, 0],\n [0, 3, -1, 2],\n [1, -1, 0, 4],\n [0, 2, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6141
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -2, 0, 0],\n [-2, -4, -2, 0],\n [0, -2, -4, 4],\n [0, 0, 4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9718
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 2, -3, 0],\n [2, -4, 0, 0],\n [-3, 0, 1, 0],\n [0, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-49
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 3, 1, -3],\n [1, 1, -4, -2],\n [-3, -1, 0, -3],\n [-3, -2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3453
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, -1, 1, 4],\n [-2, -2, -4, 1],\n [-3, 4, 4, 1],\n [2, 0, -4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1003
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, -2, 1, 4],\n [-2, -4, -4, 0],\n [1, -4, -2, 0],\n [4, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1426
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 1, 2, -4],\n [4, -4, 0, -2],\n [4, -2, 4, -4],\n [-2, -2, 4, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
300
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 0, -2, 0],\n [0, 3, -2, 0],\n [-2, -2, -4, 0],\n [0, 0, 0, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3981
|
MATH
|
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