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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