messages listlengths 1 1 | ground_truth stringlengths 1 5 | dataset stringclasses 1 value |
|---|---|---|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 0, 0],\n [0, 3, 0],\n [0, 0, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 162 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[2, 3, -3],\n [0, 3, 3],\n [3, 1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 263 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, -3, 2],\n [0, -3, -1],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 408 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 1, -1],\n [1, -2, 0],\n [-1, 0, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 100 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[1, 2, -2],\n [-1, 3, 0],\n [-3, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 60 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, -3, 2],\n [0, 1, -2],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 128 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 2, -1],\n [0, -3, -3],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 282 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[3, 1, 1],\n [0, -2, 2],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 23 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 0, 0],\n [0, 1, 0],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 28 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 0, -1],\n [0, 3, -3],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 308 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 0, -2],\n [0, 0, -2],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 81 | MATH |
[
{
"content": "What is the value at position (2, 3) of the matrix A^2 where A is:\n[[-1, -2, 2],\n [-2, -2, -2],\n [2, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -2 | MATH |
[
{
"content": "Find the value at position (1, 3) of the 2th power of the matrix:\n[[1, -3, -1],\n [3, 3, -3],\n [-3, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 8 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, -1, 3],\n [3, -3, -1],\n [0, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1703 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -3, 3],\n [0, 3, 0],\n [0, 0, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 160 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 1, -2],\n [1, -3, 0],\n [-2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1624 | MATH |
[
{
"content": "For the matrix power A^2 where A =\n[[2, 0, -2],\n [0, 3, 1],\n [-2, 1, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 25 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, -2, 1],\n [0, -2, 1],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -17 | MATH |
[
{
"content": "Find the value at position (1, 3) of the 2th power of the matrix:\n[[-1, 2, 0],\n [2, 1, -2],\n [0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -4 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, -1, 3],\n [-1, 1, 1],\n [-3, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 15 | MATH |
[
{
"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-3, -1, 0],\n [0, 3, 0],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 27 | MATH |
[
{
"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-2, 0, 0],\n [0, 2, -2],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 7 | MATH |
[
{
"content": "For the matrix power A^2 where A =\n[[-3, 2, -1],\n [2, -2, 2],\n [-1, 2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 9 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[1, -2, 2],\n [-2, 1, 2],\n [2, 2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 963 | MATH |
[
{
"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 1, 0],\n [-1, 2, 3],\n [-1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 21 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, 0, -2],\n [0, 1, -2],\n [-2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3 | MATH |
[
{
"content": "What is the value at position (1, 2) of the matrix A^4 where A is:\n[[-1, 2, 0],\n [0, 0, -2],\n [1, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -18 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[2, -2, -2],\n [0, 2, 3],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 8 | MATH |
[
{
"content": "Find the value at position (2, 3) of the 4th power of the matrix:\n[[-1, 2, 2],\n [0, 2, -1],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -15 | MATH |
[
{
"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[3, -2, 0],\n [-2, 2, 0],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 0 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 2, -1],\n [-3, -2, 0],\n [1, -1, -3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 78 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[1, -2, -3],\n [0, 2, -1],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 26 | MATH |
[
{
"content": "Calculate the matrix power A^2 and find the value at position (3, 1) of the result:\nA =\n[[3, -1, 3],\n [0, -3, 2],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 0 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 2, 2],\n [3, 3, -2],\n [-1, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 161 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[1, 0, -2],\n [0, -2, 0],\n [-2, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 21 | MATH |
[
{
"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[2, 2, 0],\n [0, -2, -3],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 8 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, -2, 3],\n [0, 2, -3],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 66 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[3, -1, 2],\n [-3, 2, -2],\n [1, -3, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 17 | MATH |
[
{
"content": "Calculate the matrix power A^2 and find the value at position (3, 2) of the result:\nA =\n[[0, 0, 0],\n [1, 0, 1],\n [1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 0 | MATH |
[
{
"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-2, 3, -3],\n [0, 1, -1],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1 | MATH |
[
{
"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-4, 4, 1, 0],\n [-2, -4, -4, 1],\n [-2, 2, 4, 2],\n [-1, -3, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 34 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, -1, -4, 0],\n [-1, 2, 2, 0],\n [-4, 2, -3, -1],\n [0, 0, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3525 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[0, 4, -2, -4],\n [4, 0, 2, 2],\n [-2, 2, 2, 0],\n [-4, 2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 8 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 0, -2, 3],\n [0, -1, 2, 2],\n [-2, 2, -4, -2],\n [3, 2, -2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -285 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -1, -1, 2],\n [1, -4, 1, -4],\n [-4, 1, 1, -1],\n [4, 1, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 697 | 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, 3, 4],\n [-3, 4, 0, 2],\n [-1, 2, 3, -1],\n [0, -4, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2306 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[3, 2, -4, 2],\n [0, 3, 0, -2],\n [-1, -4, 2, 0],\n [-3, 3, -1, -4]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -66 | MATH |
[
{
"content": "What is the value at position (2, 2) of the matrix A^4 where A is:\n[[1, 0, 0, 0],\n [0, 2, -3, 4],\n [0, -3, 1, -2],\n [0, 4, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1806 | MATH |
[
{
"content": "Find the sum of all entries of the 2th power of the matrix:\n[[4, -1, -1, 2],\n [-4, -4, 1, 3],\n [-3, -1, 1, 2],\n [-4, 0, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[4, 2, 2, 2],\n [3, -3, 4, 0],\n [0, 4, 1, 0],\n [1, 1, 0, 3]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 24 | MATH |
[
{
"content": "What is the value at position (3, 4) of the matrix A^4 where A is:\n[[0, -2, 0, -2],\n [-2, 4, -2, -2],\n [0, -2, -2, 2],\n [-2, -2, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 208 | MATH |
[
{
"content": "What is the value at position (1, 3) of the matrix A^2 where A is:\n[[-1, 0, 1, 0],\n [3, 4, 3, 2],\n [-2, 4, 0, -4],\n [-4, -1, 3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -1 | MATH |
[
{
"content": "What is the value at position (1, 4) of the matrix A^4 where A is:\n[[-2, 0, 4, -1],\n [4, 1, -4, -3],\n [-3, 2, 4, -4],\n [2, 1, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 280 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 0, -2, 4],\n [0, 3, 2, -4],\n [-2, 2, 2, -2],\n [4, -4, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 14967 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[4, 2, 1, 3],\n [2, 2, 0, 2],\n [1, 0, 3, 0],\n [3, 2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 156 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[4, 2, 2, -2],\n [2, 1, -4, 0],\n [2, -4, 4, 0],\n [-2, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 952 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -2, -4, -3],\n [-1, 3, 3, 3],\n [-2, 1, 1, 0],\n [-1, -2, -1, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1295 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 3, -3, 4],\n [1, 3, 2, -4],\n [-2, -1, 0, -3],\n [4, -4, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 162 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 0, 0, 4],\n [0, 1, -2, 2],\n [0, -2, 4, -1],\n [4, 2, -1, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 303 | MATH |
[
{
"content": "For the matrix power A^2 where A =\n[[3, 0, 2, 0],\n [0, 3, 0, 0],\n [2, 0, 1, 0],\n [0, 0, 0, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 44 | MATH |
[
{
"content": "What is the value at position (1, 4) of the matrix A^4 where A is:\n[[2, 1, 0, 1],\n [1, -4, 1, 1],\n [0, 1, -4, 2],\n [1, 1, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -35 | MATH |
[
{
"content": "Calculate the matrix power A^2 and find the value at position (1, 2) of the result:\nA =\n[[1, 0, -3, 0],\n [2, -2, -4, 3],\n [-1, -2, 1, -3],\n [4, -1, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 2, -4, 4],\n [0, 3, 4, 1],\n [-3, 1, 4, 2],\n [-2, 2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1600 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[0, -1, 4, -3],\n [1, 1, 4, -4],\n [-4, -4, 4, 3],\n [4, -1, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -307 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, -2, 3, 0],\n [0, 2, -1, 2],\n [-1, 1, 1, 3],\n [-2, 0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -490 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -1, -1, 2],\n [2, -2, -2, 1],\n [-2, 4, -2, 3],\n [-2, 2, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 119 | MATH |
[
{
"content": "What is the value at position (1, 3) of the matrix A^2 where A is:\n[[-3, 1, 1, 2],\n [-4, 3, -2, 0],\n [2, -4, 2, 4],\n [3, 1, -4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -11 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 0, 2, 0],\n [0, -1, 0, 0],\n [2, 0, 0, 1],\n [0, 0, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 52 | 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, 3],\n [0, 2, 3, 2],\n [0, -1, 0, 1],\n [1, -3, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 339 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[4, 2, -4, -3],\n [4, 2, 1, -4],\n [-3, 1, -2, 3],\n [-2, -4, 3, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 124 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[1, 2, -2, 0],\n [2, 1, 1, 0],\n [-2, 1, -2, -2],\n [0, 0, -2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 385 | MATH |
[
{
"content": "What is the value at position (3, 3) of the matrix A^2 where A is:\n[[-1, -4, -1, -2],\n [-4, 4, 0, 2],\n [-1, 0, 0, 0],\n [-2, 2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1 | MATH |
[
{
"content": "What is the value at position (4, 3) of the matrix A^4 where A is:\n[[-1, 0, -1, 0],\n [0, -4, 2, 1],\n [-1, 2, 2, 0],\n [0, 1, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 52 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-3, 0, 4, 2],\n [0, 4, 3, 2],\n [4, 3, 3, 4],\n [2, 2, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 367 | MATH |
[
{
"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -2, -1, 0],\n [-2, -2, 0, 0],\n [-1, 0, 4, -2],\n [0, 0, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 83 | MATH |
[
{
"content": "For the matrix power A^2 where A =\n[[1, 0, 0, 1],\n [0, -2, 3, 0],\n [0, 3, -2, 0],\n [1, 0, 0, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 7 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[1, 1, 2, 0],\n [3, 3, 4, -3],\n [3, 0, 3, -2],\n [-3, -2, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 192 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[0, -1, 0, 3],\n [2, -4, 0, 0],\n [3, 1, 4, 4],\n [4, -4, -2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -109 | MATH |
[
{
"content": "For the matrix power A^2 where A =\n[[-2, -1, 2, 2],\n [-1, 0, -1, -4],\n [2, -1, 2, -2],\n [2, -4, -2, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 47 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, 0, 2, -1],\n [0, -1, 0, -1],\n [2, 0, 0, 0],\n [-1, -1, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 38 | MATH |
[
{
"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-3, -1, -1, 1],\n [0, -3, 4, 1],\n [4, 0, 3, 0],\n [-3, 1, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 97 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-4, -4, 4, -2],\n [-1, -2, -1, -2],\n [3, 1, -2, -3],\n [-3, -3, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 256 | MATH |
[
{
"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-3, -1, 2, -2],\n [-1, -2, 4, 0],\n [2, 4, 0, 0],\n [-2, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 57 | MATH |
[
{
"content": "What is the value at position (4, 1) of the matrix A^4 where A is:\n[[0, 0, 0, -1],\n [0, 3, 2, -2],\n [0, 2, -4, 3],\n [-1, -2, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -63 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, 0, -4, 0],\n [0, -1, -1, 0],\n [-4, -1, -4, 0],\n [0, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -1260 | 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, -1],\n [2, 3, 0, 1],\n [-2, 0, -2, -4],\n [-1, 1, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1306 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[1, -4, -4, 2],\n [-4, 0, 0, -2],\n [0, -3, 4, -1],\n [-3, 3, -3, 4]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 224 | MATH |
[
{
"content": "Calculate the matrix power A^2 and find the value at position (4, 2) of the result:\nA =\n[[-1, 1, -3, -4],\n [0, 0, 0, -3],\n [-4, 3, 2, -2],\n [3, 0, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 0 | MATH |
[
{
"content": "What is the value at position (3, 3) of the matrix A^2 where A is:\n[[0, 3, 0, 2],\n [3, 3, 0, 1],\n [0, 0, 3, -2],\n [2, 1, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 13 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[3, -2, -2, -1],\n [-2, -4, 1, -1],\n [-2, 1, 2, 2],\n [-1, -1, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 157 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 0, 0, 0],\n [-4, 3, -4, -3],\n [-4, -1, -4, -1],\n [-2, 2, 0, 4]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -184 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 2, -1, -3],\n [4, 3, -3, -4],\n [3, 4, -4, 1],\n [3, 0, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -982 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[3, 4, -3, 3],\n [3, 4, 0, 2],\n [0, -2, -4, 3],\n [2, 0, 1, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 7774 | 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, -2, -2],\n [-2, -4, -2, 0],\n [-2, -2, 3, -2],\n [-2, 0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4254 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[2, 0, -2, -2],\n [0, 4, 1, 0],\n [-2, 1, -1, 1],\n [-2, 0, 1, -3]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -28 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[4, 0, 1, 1],\n [0, -3, -1, 1],\n [1, -1, -1, 0],\n [1, 1, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 71 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 1, -1, 1],\n [1, 0, 0, -2],\n [-1, 0, 4, 1],\n [1, -2, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 133 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 4, 1, 2],\n [4, -1, 2, 0],\n [1, 2, 3, 2],\n [2, 0, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1188 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 0, 2, -2],\n [0, 3, 0, -2],\n [2, 0, 4, -2],\n [-2, -2, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2894 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 0, -1, 2],\n [0, -1, -2, 0],\n [-1, -2, 2, -3],\n [2, 0, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 453 | MATH |
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