messages listlengths 1 1 | ground_truth stringlengths 1 5 | dataset stringclasses 1
value |
|---|---|---|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 0, 1, -2],\n [0, 4, 0, 2],\n [1, 0, -1, -3],\n [-2, 2, -3, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 55 | MATH |
[
{
"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[-4, 0, 2, 2],\n [0, 3, 1, 0],\n [2, 1, 1, 2],\n [2, 0, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 92 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 4, 3, -3],\n [3, -2, -2, 0],\n [-2, 2, 3, 0],\n [-2, 0, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 20 | MATH |
[
{
"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[3, -2, 4, 1],\n [-2, 2, 2, -4],\n [4, 2, 1, 0],\n [1, -4, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 120 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 3, 3, -4],\n [2, 2, 2, 3],\n [3, -1, -1, 1],\n [-4, -2, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 63 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -2, 4, -4],\n [-3, -4, -3, -1],\n [3, -2, -2, 2],\n [-3, 4, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1752 | MATH |
[
{
"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[-2, 2, -1, 1],\n [2, -2, 0, -1],\n [-1, 0, -2, 0],\n [1, -1, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 46 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, 2, 0, 3],\n [3, -3, -4, 2],\n [-4, 0, -1, 2],\n [1, 0, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 107 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, -1, -1, -2],\n [-3, 4, -2, -1],\n [4, -2, -4, 2],\n [1, 0, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3430 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[-1, -2, 2, -3],\n [-2, 4, -2, -1],\n [2, -2, -4, -2],\n [-3, -1, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 279 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 2, -1, -4],\n [4, -1, -3, -3],\n [-2, 3, 4, 1],\n [3, 0, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1950 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 1, 0, 0],\n [1, -4, 0, 0],\n [0, 0, 1, 2],\n [0, 0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -27 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-1, -2, 2, -1],\n [4, -2, 0, 3],\n [0, -1, -3, 2],\n [2, -1, 4, 0]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 57 | 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, -1, 3],\n [0, 3, 0, 2],\n [1, 0, 1, -4],\n [0, 1, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 423 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[3, -2, 2, -2],\n [-2, -2, 1, 3],\n [2, 1, 3, -2],\n [-2, 3, -2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 949 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -3, 4, 2],\n [-3, 3, -2, 0],\n [4, -2, 2, 3],\n [2, 0, 3, 3]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -800 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 0, 0, 0],\n [0, 2, 1, -1],\n [0, 1, -2, -2],\n [0, -1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -97 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 4, 3, 0],\n [0, -4, -2, 1],\n [-3, -1, -3, -3],\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"
}
] | 5601 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 2, 0, 0],\n [2, 1, -3, 0],\n [0, -3, 0, 2],\n [0, 0, 2, -4]]\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[[-4, -1, 0, 2],\n [-1, 3, 1, 0],\n [0, 1, 1, 4],\n [2, 0, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5951 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 3, -3, -4],\n [0, 4, -1, 0],\n [4, 0, 3, -2],\n [2, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 750 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, 0, 3, -3],\n [0, 4, 1, 2],\n [3, 1, 0, -2],\n [-3, 2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1153 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -2, 2, -2],\n [-2, 0, -4, 0],\n [2, -4, 1, 2],\n [-2, 0, 2, 4]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 644 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 0, 0, 0],\n [0, 1, -2, 0],\n [0, -2, -1, 2],\n [0, 0, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1287 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[3, 2, -3, -2],\n [0, -1, 0, 0],\n [4, 3, 4, 3],\n [4, 4, 0, 3]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -104 | MATH |
[
{
"content": "What is the value at position (4, 1) of the matrix A^4 where A is:\n[[1, -1, -2, -3],\n [-1, 0, 1, -2],\n [3, -4, 3, -3],\n [-3, 1, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -50 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 4, 2, 0],\n [4, -3, 2, -3],\n [2, 2, -4, 1],\n [0, -3, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1794 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[0, 4, 0, -1],\n [-1, 2, 3, 2],\n [4, -2, 4, -2],\n [1, 2, 1, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2028 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[0, 0, 0, 0],\n [0, 2, 0, -4],\n [0, 0, 2, 2],\n [0, -4, 2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 483 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -2, 2, 2],\n [-2, -2, 0, 2],\n [2, 0, 0, 3],\n [2, 2, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 253 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, -1, 2, 0],\n [-3, 2, -2, -2],\n [-3, 0, -3, 0],\n [-3, 1, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 123 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 2, 1, 0],\n [2, -1, 4, 0],\n [1, 4, -1, 4],\n [0, 0, 4, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5550 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 3, -2, -2],\n [3, -4, 0, 2],\n [-2, 0, 2, -2],\n [-2, 2, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1435 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -4, 0, 0],\n [3, 1, 2, -2],\n [4, -3, -1, 1],\n [-2, 1, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 30 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[3, 2, -4, -1],\n [1, -2, 4, 2],\n [-1, 0, -3, 1],\n [-4, 3, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 80 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 0, 3, -2],\n [0, -1, 1, -3],\n [3, 1, 3, -2],\n [-2, -3, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1856 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[1, 2, 2, 2],\n [2, 4, 2, -4],\n [2, 2, 0, 2],\n [2, -4, 2, -2]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 34 | MATH |
[
{
"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[-2, -4, 4, -1],\n [4, 3, -1, -3],\n [1, -1, 4, -2],\n [4, 2, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 23 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 2, 0, -2],\n [2, 1, 0, 1],\n [0, 0, -1, -2],\n [-2, 1, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 822 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -4, 1, 3],\n [-1, -2, -3, -3],\n [0, 0, 1, 4],\n [4, -3, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 154 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[0, -4, 2, -1],\n [0, -4, -4, 3],\n [-1, 1, 1, 2],\n [2, 3, 1, 1]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 20 | MATH |
[
{
"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[2, 3, 3, 1],\n [-3, 1, 1, -1],\n [0, 4, -2, 0],\n [-2, -4, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -150 | MATH |
[
{
"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[4, 0, -2, -4],\n [3, 3, 3, 1],\n [-2, -2, -3, 1],\n [-2, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -256 | 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, 2, -3],\n [-3, -4, 1, 4],\n [-2, 3, 0, 2],\n [4, 1, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4762 | MATH |
[
{
"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[-2, 1, 2, 2],\n [1, 0, -1, 2],\n [2, -1, -2, 0],\n [2, 2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 182 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -4, -2, 0],\n [-4, 0, 0, 0],\n [-2, 0, 3, 2],\n [0, 0, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 74 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 0, 1, 2],\n [0, -2, -1, 0],\n [1, -1, 1, -3],\n [2, 0, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 320 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 0, 4, 1],\n [0, 2, -1, -3],\n [-1, 3, -1, 3],\n [-4, 3, 4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -278 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[-2, -2, -4, 0],\n [-2, 1, 4, 0],\n [-4, 4, 4, 2],\n [0, 0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -232 | 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, 0, -1],\n [-1, -4, 2, 4],\n [0, 2, 1, 0],\n [-1, 4, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 11432 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 2, -4, 0],\n [2, -2, 0, 1],\n [-4, 0, -1, 2],\n [0, 1, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 753 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[4, 0, -1, 1],\n [0, -3, 2, -2],\n [-1, 2, 0, 1],\n [1, -2, 1, 3]], determine the sum of absolute values of all entries.\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 absolute values of all entries of the result:\nA =\n[[-1, -1, 2, 0],\n [-1, -3, 2, 0],\n [2, 2, 3, 2],\n [0, 0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2149 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[4, 0, 0, 2],\n [0, -2, -1, -1],\n [0, -1, -4, 2],\n [2, -1, 2, 0]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -36 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, -4, 4, -1],\n [-1, -3, 3, 1],\n [-2, 3, 4, 0],\n [-2, -4, 4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1049 | MATH |
[
{
"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[4, 4, 3, 0],\n [0, 0, 3, -2],\n [-3, -4, 0, -2],\n [3, 2, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -86 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 2) of the result:\nA =\n[[2, -2, -1, 1],\n [-2, 0, -2, 0],\n [-1, -2, 2, -1],\n [1, 0, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -34 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[3, -1, 0, -1],\n [3, -4, -1, 1],\n [2, 1, -1, 1],\n [-2, 3, -3, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 72 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 2, -2, 0],\n [2, 0, 3, -1],\n [-2, 3, -2, -4],\n [0, -1, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -202 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[3, -2, -2, 1],\n [-1, -4, -1, 0],\n [4, -3, 0, -4],\n [0, 0, -4, 4]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 645 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, -2, 0, 3],\n [-2, 4, 0, -2],\n [0, 0, 4, 4],\n [3, -2, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2328 | MATH |
[
{
"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[-4, -3, -1, -1],\n [-3, -3, 0, -4],\n [-1, 0, 1, 2],\n [-1, -4, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 10 | MATH |
[
{
"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[3, 2, 4, 0],\n [2, -4, -2, -2],\n [4, -2, 2, -2],\n [0, -2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -36 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 4, 1, -1],\n [1, 2, -2, 0],\n [2, 2, -1, -1],\n [2, -1, 0, -2]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -28 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 2, 3, 2],\n [2, 1, 2, -2],\n [3, 2, 1, -4],\n [2, -2, -4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 133 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 2, 1, 1],\n [-1, -2, -2, -3],\n [3, -2, 3, 3],\n [4, 3, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 475 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[3, 0, 2, 0],\n [0, 2, 2, 2],\n [2, 2, 0, 0],\n [0, 2, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1698 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 2, 4, 2],\n [2, 0, 2, 1],\n [4, 2, 4, 3],\n [2, 1, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1919 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[1, 0, -3, -2],\n [1, 1, -3, -3],\n [-3, -1, 1, -3],\n [4, 3, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -48 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, 0, 4, -2],\n [0, 3, -2, -3],\n [4, -2, 1, 0],\n [-2, -3, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 574 | MATH |
[
{
"content": "What is the value at position (4, 1) of the matrix A^4 where A is:\n[[2, 0, 0, -2],\n [-4, -3, 2, -3],\n [4, 0, 0, -2],\n [-2, -4, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 450 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[-1, 3, -2, 2],\n [3, 4, 0, -1],\n [-2, 0, 1, 0],\n [2, -1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -92 | MATH |
[
{
"content": "What is the value at position (4, 2) of the matrix A^3 where A is:\n[[-3, 0, 0, 1],\n [0, -1, -4, -1],\n [0, -4, -1, 0],\n [1, -1, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -31 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 2, -2, -1],\n [2, 4, 0, 2],\n [-2, 0, 4, 4],\n [-1, 2, 4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1286 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 2, 3, -2],\n [-1, 0, -3, -3],\n [-4, 4, 0, 3],\n [-2, 1, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 703 | MATH |
[
{
"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[-3, 3, -4, 1],\n [-2, 1, 1, 1],\n [1, 1, -2, 0],\n [4, 0, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 20 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[2, 0, 0, -3],\n [0, 2, -2, 4],\n [0, -2, 1, -1],\n [-3, 4, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 309 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 2, 3, 0],\n [2, 1, 2, 2],\n [3, 2, -2, 0],\n [0, 2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 987 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-4, -2, 0, -1],\n [-2, 2, 0, -2],\n [0, 0, 2, -1],\n [-1, -2, -1, 1]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 20 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 1, -4, 4],\n [-4, -2, 4, 4],\n [3, 2, 0, -4],\n [-3, -3, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 250 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, -3, -1, -4],\n [-1, 0, 4, 2],\n [1, 2, 4, 0],\n [-2, -2, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1067 | MATH |
[
{
"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[3, 0, 0, 0],\n [0, -4, -2, 1],\n [0, -2, 0, -3],\n [0, 1, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 258 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 0, -3, 3],\n [-3, -2, 0, -1],\n [0, 4, 4, -1],\n [2, 0, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 106 | MATH |
[
{
"content": "Find the value at position (2, 3) of the 4th power of the matrix:\n[[0, -4, -1, -1],\n [1, -1, -4, -3],\n [3, 4, -3, 3],\n [2, 2, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -1494 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 2, 0, 0],\n [2, 0, 2, -2],\n [0, 2, 1, 0],\n [0, -2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 357 | 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, -3],\n [-4, 1, -3, 0],\n [-4, -4, 0, -1],\n [-1, -3, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 13420 | MATH |
[
{
"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[3, 4, 1, -2],\n [4, 1, -4, -3],\n [0, -3, 4, 4],\n [1, -1, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 772 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[0, 4, 0, -2],\n [4, -3, 3, -2],\n [0, 3, 1, 1],\n [-2, -2, 1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 586 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[2, 0, 2, -2],\n [0, 3, 2, 0],\n [2, 2, -2, -2],\n [-2, 0, -2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 98 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[4, -4, 2, 0],\n [1, 1, -3, 1],\n [0, 2, -4, -1],\n [4, -3, -2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2139 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, -1, -2, 0],\n [-1, -4, 1, 3],\n [-2, 1, -2, 0],\n [0, 3, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1807 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -4, -2, -3],\n [-2, -2, 1, -4],\n [-2, -3, 0, -3],\n [-3, 3, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6267 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[0, 1, -1, -3],\n [1, 2, -4, 2],\n [-1, -4, 0, -2],\n [-3, 2, -2, -3]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -77 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[2, 4, -2, -1],\n [4, -4, 2, -3],\n [-2, 2, 0, -3],\n [-1, -3, -3, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1089 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -2, 0, 0],\n [-2, -3, 0, 0],\n [0, 0, 2, 0],\n [0, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 542 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[4, 2, 2, 3],\n [1, 2, 3, 3],\n [-3, -3, 0, 1],\n [1, -1, 2, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -256 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 3, 0, 3],\n [2, -2, -4, 0],\n [1, -3, -2, 1],\n [4, -4, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1334 | MATH |
[
{
"content": "Find the value at position (3, 4) of the 3th power of the matrix:\n[[-1, 3, -3, 2],\n [-2, 2, 4, -2],\n [0, 4, -2, 0],\n [4, -4, 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[[-4, -4, 3, 2],\n [-4, -3, 3, -1],\n [-1, -1, 2, 4],\n [-4, 2, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1276 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, 0, -4, -4],\n [1, -4, 1, 1],\n [3, -3, 0, -1],\n [-3, -3, -4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6380 | MATH |
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