messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 3, 3, -2],\n [-4, 4, 2, 3],\n [-3, -2, -1, 4],\n [-1, -2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4046
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 3, -2, -3],\n [3, -2, -2, 2],\n [-2, -2, 2, 1],\n [-3, 2, 1, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7533
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 0, 0, 0],\n [0, -1, 0, 0],\n [0, 0, -4, 2],\n [0, 0, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
281
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[-4, -4, 1, -2],\n [-3, -2, -2, 2],\n [2, -2, -2, 0],\n [-2, -3, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
112
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[-4, -1, -4, -4],\n [2, -4, -3, -4],\n [-1, 1, -2, -3],\n [1, -3, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-211
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[-2, 0, -2, 2],\n [0, 1, 0, 1],\n [-2, 0, -4, 3],\n [2, 1, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-138
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 3, -1, 3],\n [-1, -4, -3, 2],\n [3, -1, 1, -1],\n [4, -4, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
693
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 1, 1, -1],\n [1, -4, 4, 2],\n [-2, 3, -2, 4],\n [-4, 0, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-46
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[-1, -2, -1, 1],\n [1, 2, 0, 4],\n [3, -2, -2, 4],\n [-2, 1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
14
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -4, 2, -2],\n [-4, -1, -2, 0],\n [2, -2, -4, 0],\n [-2, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
785
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 0, -1, 1],\n [0, 4, 0, -2],\n [-1, 0, -2, 0],\n [1, -2, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
43
|
MATH
|
[
{
"content": "Find the value at position (2, 3) of the 4th power of the matrix:\n[[4, -3, 1, -3],\n [-2, 2, 2, -3],\n [-3, -2, 4, 2],\n [2, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
142
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, 1, 1, 0],\n [-4, -1, 2, -4],\n [1, -4, -2, 0],\n [3, 3, 3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4778
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, 0, 0],\n [0, 1, -1, 2],\n [0, -1, 2, 2],\n [0, 2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
127
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 0, 3, 1],\n [0, -1, -3, 2],\n [3, -3, -4, 0],\n [1, 2, 0, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
877
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 0, 0, 0],\n [0, -3, 0, 2],\n [0, 0, 0, 0],\n [0, 2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
12
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 3, 2, -1],\n [4, -1, 0, -4],\n [2, 3, -2, -1],\n [0, -3, -1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1901
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, -2, 1, 2],\n [2, -2, 3, 0],\n [-1, 4, 1, 1],\n [-3, -3, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
535
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 3, -1, 0],\n [-1, 0, -3, -2],\n [0, -3, 4, -1],\n [-4, 3, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
151
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -2, -3, 4],\n [3, 2, 0, 0],\n [-3, -4, 3, 1],\n [1, 3, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
70
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, 0, -2, 2],\n [-2, 0, -4, 0],\n [4, -4, -3, -4],\n [-3, 0, -4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6545
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, -4, 0, -1],\n [-4, -3, -2, 0],\n [0, -2, -2, 2],\n [-1, 0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5003
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -2, 0, 3],\n [-2, 2, -2, 0],\n [0, -2, -1, 0],\n [3, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2861
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -2, 0, 1],\n [-2, -3, -4, 0],\n [0, -4, 4, 4],\n [1, 0, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1699
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, -2, 2, 2],\n [3, 2, 2, -3],\n [3, 4, -1, -2],\n [3, 2, 3, 0]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-70
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 3, 0, 1],\n [-4, -4, 0, -2],\n [4, -4, -3, -3],\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"
}
] |
3182
|
MATH
|
[
{
"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[2, -1, -2, 0],\n [-1, -4, 0, -2],\n [-2, 0, 0, 2],\n [0, -2, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
172
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 3, -3, -1],\n [0, -4, 0, 3],\n [1, -4, -4, -4],\n [1, 2, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
794
|
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, 4, 2],\n [3, 1, 1, -1],\n [2, 0, -2, 4],\n [-2, -4, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
642
|
MATH
|
[
{
"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[-3, 0, -1, -2],\n [0, -2, -2, 2],\n [-1, -2, -2, 3],\n [-2, 2, 3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1134
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 0, -3, 2],\n [0, -1, -1, 0],\n [-3, -1, -4, -1],\n [2, 0, -1, -1]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-160
|
MATH
|
[
{
"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[-3, 4, -4, 2],\n [4, -2, 4, 1],\n [-3, 4, 0, -3],\n [-1, -1, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-359
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 2, -4, -2],\n [0, 3, 1, -1],\n [0, 0, 0, -4],\n [-4, 0, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
557
|
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, 0, -2],\n [0, 1, -4, 2],\n [0, -4, -2, 2],\n [-2, 2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10930
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -3, -2, 0],\n [-3, 4, -2, 1],\n [-2, -2, 3, 1],\n [0, 1, 1, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
741
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -4, 1, 1],\n [4, 1, 0, -2],\n [2, 0, -1, 2],\n [0, -3, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
742
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 0, -2, 2],\n [0, 4, 0, 3],\n [-2, 0, 1, -2],\n [2, 3, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2260
|
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, 1],\n [-3, -4, 1, 3],\n [2, 3, 3, 0],\n [-3, 0, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2229
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, -1, 3, -3],\n [-4, -2, 0, -4],\n [-2, -3, -3, -3],\n [3, -2, 1, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1081
|
MATH
|
[
{
"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[-4, -4, 1, 0],\n [-4, -4, -2, 0],\n [1, -2, -3, 0],\n [0, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
347
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, -3, 1, -3],\n [-3, -4, 1, 4],\n [-4, 2, 2, 1],\n [3, 1, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3907
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 3, 2, -3],\n [4, -1, 3, -2],\n [-2, -1, 0, -1],\n [2, 3, 4, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-467
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 2, 0, 0],\n [2, -1, -3, 3],\n [0, -3, 2, 2],\n [0, 3, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
863
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 1) of the result:\nA =\n[[-3, -1, 2, 2],\n [-1, 3, 0, -4],\n [2, 0, 1, -2],\n [2, -4, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-360
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 0, -2, 2],\n [0, 0, 2, 0],\n [-2, 2, -4, -2],\n [2, 0, -2, -2]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
352
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -1, -1, -1],\n [3, -4, -2, -4],\n [-1, -2, -4, -4],\n [3, 3, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1057
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 2, 2, 4],\n [1, 4, -3, -1],\n [-1, 3, 1, 4],\n [-2, 2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
545
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 4, 4, -3],\n [3, -4, 0, -2],\n [1, 1, 4, 1],\n [-3, -3, -3, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7819
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 2, 0, -2],\n [2, 0, 0, -4],\n [0, 0, -3, 2],\n [-2, -4, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
150
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, -4, -2, -2],\n [-4, -4, -2, -2],\n [-2, -2, -1, 4],\n [-2, -2, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10650
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 3, 3, -3],\n [-3, -4, 3, 0],\n [-4, 2, -3, -1],\n [3, -4, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7124
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, -1, 2, -2],\n [-1, -3, 0, 0],\n [2, 0, -4, 0],\n [-2, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-352
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 3, -4, 2],\n [3, -3, -1, -2],\n [-4, -1, -4, 3],\n [2, -2, 3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11269
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-1, 2, 2, -1],\n [2, 4, -2, 2],\n [2, -2, 2, 1],\n [-1, 2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
29
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, -4, 0, 0],\n [-4, -1, -1, 2],\n [0, -1, -3, 0],\n [0, 2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-592
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 0, -3, 2],\n [0, -2, 2, 2],\n [-3, 2, -2, -1],\n [2, 2, -1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1078
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 1, 0, 2],\n [1, -4, -2, 4],\n [0, -2, 3, -3],\n [2, 4, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
172
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 4, 1, 0],\n [4, -4, -1, -1],\n [1, -1, -4, -2],\n [0, -1, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2993
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -3, 2, -1],\n [4, 2, 1, 0],\n [2, 3, 3, -4],\n [1, 0, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
85
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, -1, 3, -1],\n [-1, -4, 0, -2],\n [3, 0, 4, 0],\n [-1, -2, 0, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5812
|
MATH
|
[
{
"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[-3, 2, 3, 2],\n [2, 0, -1, 2],\n [3, -1, 4, -1],\n [2, 2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
148
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[-2, -2, 1, -1],\n [-2, -1, -2, 0],\n [1, -2, 3, 0],\n [-1, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-8
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 2, 0, 2],\n [2, 3, 3, 0],\n [0, 3, -4, 0],\n [2, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
443
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 3, 0, -2],\n [4, -3, 1, -1],\n [4, 3, -1, 3],\n [-4, 3, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
768
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 2, 0, 1],\n [2, -1, 0, 1],\n [0, 0, -3, 2],\n [1, 1, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
41
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, -3, 3, 3],\n [1, -1, 4, -3],\n [4, 0, 1, 2],\n [0, -2, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5161
|
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, -2, -3],\n [1, -1, 1, 2],\n [4, -3, 4, -3],\n [2, 4, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5147
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -1, -1, 4],\n [0, -4, 3, 1],\n [0, 3, -1, 4],\n [-3, 0, -1, 0]], determine the sum of all entries.\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 (2, 2) of the result:\nA =\n[[-3, 4, -1, -4],\n [-2, 1, -2, -4],\n [2, 3, -1, 1],\n [-2, 0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
49
|
MATH
|
[
{
"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[-1, -1, 3, 2],\n [0, -4, 3, 1],\n [4, -3, 4, -2],\n [2, 1, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-348
|
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, -4],\n [-1, -3, -3, -4],\n [2, -4, 3, 3],\n [4, 1, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9622
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 2, 0, 2],\n [2, 3, 0, -4],\n [0, 0, -3, -2],\n [2, -4, -2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11547
|
MATH
|
[
{
"content": "Find the value at position (2, 3) of the 4th power of the matrix:\n[[0, 1, 0, -1],\n [1, 0, 2, -2],\n [0, 2, -3, 0],\n [-1, -2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-92
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 3, 3, 0],\n [-4, -2, -2, -3],\n [3, 2, 4, -1],\n [-2, -1, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
548
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-3, -2, -1, 4],\n [4, -2, 4, 3],\n [-1, -3, 1, 0],\n [4, -4, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-19
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 2, -2, -2],\n [2, 1, 2, 0],\n [-2, 2, 2, 2],\n [-2, 0, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1023
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, 2, -2, 2],\n [2, 2, -2, 4],\n [-2, -2, -1, 0],\n [2, 4, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
392
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 0, 4, 2],\n [0, -4, -2, -1],\n [4, -2, -3, 2],\n [2, -1, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6634
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 3, 2, 2],\n [3, 1, -2, 1],\n [2, -2, -1, -1],\n [2, 1, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7439
|
MATH
|
[
{
"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[0, -2, 3, -2],\n [-2, -2, -1, -3],\n [3, -1, 0, 0],\n [-2, -3, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 4, 0, 2],\n [4, 3, 0, 2],\n [0, 0, 2, -2],\n [2, 2, -2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
982
|
MATH
|
[
{
"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[1, 4, 4, -3],\n [-4, -1, -1, 2],\n [4, 0, -2, 1],\n [-3, 0, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-532
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, 0, -2, -1],\n [0, 0, 2, 0],\n [-2, 2, -2, -1],\n [-1, 0, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
746
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 4, -3, 2],\n [0, 0, 0, 3],\n [2, -3, 2, 4],\n [-3, 1, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
110
|
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, 0],\n [-2, 0, -4, -2],\n [-1, -4, -3, 4],\n [0, -2, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7398
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -1, 0, -1],\n [1, -2, 4, -2],\n [1, 2, 2, 1],\n [-3, -4, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-434
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -2, 0, 2],\n [-2, 2, -1, -2],\n [0, -1, -4, -2],\n [2, -2, -2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
787
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, -1, 1, 1],\n [-1, 4, 0, -2],\n [1, 0, 4, 0],\n [1, -2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
725
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -2, -4, 0],\n [-2, 1, -4, 2],\n [-4, -4, -3, 0],\n [0, 2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2554
|
MATH
|
[
{
"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[2, -1, 1, 0],\n [-1, -4, 0, -1],\n [1, 0, 1, 0],\n [0, -1, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-15
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 1, 0, 4],\n [1, -1, 4, 2],\n [0, 4, 2, 2],\n [4, 2, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
15785
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 2, -2, -3],\n [2, 3, 0, 2],\n [-2, 0, 3, 0],\n [-3, 2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6207
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, -1, 2, 2],\n [-2, 2, 3, -1],\n [1, 4, -2, 2],\n [-3, -4, -4, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-567
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 0, 1, 1],\n [3, -1, 0, -2],\n [1, -2, 4, 3],\n [2, 4, 3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
608
|
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, 0],\n [0, 4, 0, 0],\n [2, 0, 0, -3],\n [0, 0, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
237
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, -2, -3, -2],\n [-2, -1, -2, 0],\n [-2, 1, -2, 0],\n [0, 4, -1, -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^4 where A =\n[[-3, 1, -1, -1],\n [1, 2, 1, 2],\n [-1, 1, -2, -2],\n [-1, 2, -2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1509
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 0, -2, -4],\n [0, 4, -2, 0],\n [-2, -2, -2, -3],\n [-4, 0, -3, -2]], determine the sum of absolute values of all entries.\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^3 where A is:\n[[1, -3, -1, 0],\n [2, 2, 2, 4],\n [3, 3, -2, -4],\n [2, 4, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-83
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -2, -1, 1],\n [2, -2, 2, 3],\n [-1, -3, 1, 2],\n [4, -2, -1, 3]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
41
|
MATH
|
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