messages listlengths 1 1 | ground_truth stringlengths 1 5 | dataset stringclasses 1
value |
|---|---|---|
[
{
"content": "For the matrix power A^4 where A =\n[[0, -2, -1, 0],\n [-2, 1, 0, -2],\n [-1, 0, -1, 0],\n [0, -2, 0, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 387 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 1, 3, -2],\n [2, 1, -3, -3],\n [-4, -2, 3, -1],\n [-1, -2, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -107 | MATH |
[
{
"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[-1, -4, 3, 4],\n [4, -4, -4, 0],\n [-2, -2, -3, -1],\n [-3, -3, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -365 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[-2, 2, -2, 0],\n [2, -3, 0, 0],\n [-2, 0, 0, 0],\n [0, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -24 | MATH |
[
{
"content": "What is the value at position (4, 3) of the matrix A^3 where A is:\n[[-4, -3, 1, -1],\n [1, 4, 4, 0],\n [2, 1, 4, -1],\n [4, 3, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 112 | MATH |
[
{
"content": "Find the value at position (2, 2) of the 4th power of the matrix:\n[[-1, -4, -3, 4],\n [-2, -3, -4, -3],\n [-4, -3, -3, -3],\n [-1, 1, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2107 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 0, -1, 0],\n [0, 1, 0, 0],\n [-1, 0, -1, 2],\n [0, 0, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 13 | MATH |
[
{
"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[0, -2, -3, 0],\n [-2, 1, -2, -2],\n [-3, -2, -1, 4],\n [0, -2, 4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 293 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-1, -2, -1, 2],\n [4, 1, 2, -2],\n [0, -4, 4, 0],\n [4, 0, 1, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 53 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, -4, 0, 3],\n [0, 0, -4, -4],\n [4, -4, 3, 1],\n [4, 4, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6805 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -2, 0, 0],\n [-2, 0, 2, 0],\n [0, 2, 1, 2],\n [0, 0, 2, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 214 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[2, -2, -2, 2],\n [-2, -3, -1, -1],\n [-2, -1, 2, 0],\n [2, -1, 0, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 413 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, -4, 2, -2],\n [0, 0, 1, 1],\n [4, -1, -4, -4],\n [4, -2, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -132 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 3, 1, -2],\n [3, 0, -2, -2],\n [1, -2, 2, -3],\n [-2, -2, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -217 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[1, 1, -4, 0],\n [-2, 0, -2, 0],\n [3, 1, -3, -4],\n [4, -3, 2, 3]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -32 | 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, 3],\n [2, -1, -2, -1],\n [-3, 0, -3, -3],\n [4, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1092 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -1, -4, 1],\n [-2, 3, -4, -4],\n [-2, 2, 2, 2],\n [4, 0, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6776 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 2, -2, 1],\n [2, 4, 0, 2],\n [-2, 0, -1, 2],\n [1, 2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 507 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 2) of the result:\nA =\n[[-3, 1, 2, -2],\n [-1, 4, 4, -3],\n [3, -2, 0, 4],\n [4, 2, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 37 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, -3, -1, -3],\n [-3, -3, 2, -4],\n [1, 0, 0, -1],\n [1, 3, 3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3583 | MATH |
[
{
"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[3, 0, -3, 0],\n [0, -1, -1, 0],\n [-3, -1, -4, -2],\n [0, 0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 87 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -3, -3, -2],\n [-1, -1, -3, 0],\n [-2, -3, -2, 2],\n [-2, 1, 2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5740 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[2, 0, -1, -2],\n [0, -4, 2, 0],\n [-1, 2, -3, -2],\n [-2, 0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 114 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[2, 2, 2, -1],\n [2, -2, -1, 1],\n [2, -1, -2, 4],\n [-1, 1, 4, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 248 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 0, 1, 0],\n [0, -4, 0, 2],\n [1, 0, -3, -4],\n [0, 2, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -253 | 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, -1, -2],\n [1, -4, -1, 0],\n [-1, -1, 2, 2],\n [-2, 0, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3356 | 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, 3, -1],\n [3, -2, -4, -2],\n [4, -2, -4, 0],\n [-2, 3, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2469 | MATH |
[
{
"content": "Find the value at position (4, 2) of the 4th power of the matrix:\n[[0, 0, -2, -2],\n [0, -3, -2, 4],\n [-2, -2, -1, 1],\n [-2, 4, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -1280 | MATH |
[
{
"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[2, 0, -2, 2],\n [0, -2, -1, -2],\n [-2, -1, 0, -1],\n [2, -2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 65 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[0, 4, 2, 0],\n [4, -2, 0, -2],\n [2, 0, 3, -2],\n [0, -2, -2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2457 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[1, -2, 2, 1],\n [-2, 3, 0, 2],\n [2, 0, 0, 0],\n [1, 2, 0, 3]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 0 | MATH |
[
{
"content": "Find the value at position (4, 4) of the 3th power of the matrix:\n[[-4, -2, -2, 3],\n [-2, -4, -3, 2],\n [-2, -3, 1, 1],\n [3, 2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -70 | 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, 0, -2],\n [2, 0, 0, 4],\n [0, 0, -2, -2],\n [-2, 4, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6432 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[2, -4, -3, 4],\n [3, 4, 1, 2],\n [-1, 0, 1, 1],\n [-2, -2, 3, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -273 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -2, 0, 4],\n [-2, 4, -3, -1],\n [0, -3, 1, 0],\n [4, -1, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 412 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 1, 1, -2],\n [1, 4, 2, 0],\n [1, 2, 4, 0],\n [-2, 0, 0, 4]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 135 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 4) of the result:\nA =\n[[-1, 0, 0, 2],\n [0, -1, 2, -2],\n [0, 2, 2, 0],\n [2, -2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 58 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -2, -2, 0],\n [-2, 1, 0, 2],\n [-2, 0, -4, 2],\n [0, 2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 949 | MATH |
[
{
"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[4, 0, 0, -2],\n [0, 1, 0, 0],\n [0, 0, -4, 2],\n [-2, 0, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -704 | MATH |
[
{
"content": "Find the value at position (2, 4) of the 3th power of the matrix:\n[[0, -4, -4, 4],\n [-4, -1, 4, 2],\n [-4, 4, 0, -2],\n [4, 2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -30 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 2) of the result:\nA =\n[[-2, 3, -4, -1],\n [2, 2, 3, 3],\n [0, -1, -4, -4],\n [4, -3, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 568 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, -3, 3, -3],\n [2, 1, -1, -1],\n [-1, 0, 1, -1],\n [-1, -3, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 160 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 0, 2, -2],\n [-3, 0, 0, 0],\n [-4, 3, -1, 0],\n [1, -2, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -78 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 0, 2, -3],\n [0, -2, 3, 0],\n [2, 3, -1, -4],\n [-3, 0, -4, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -534 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 4, -1, -3],\n [-4, -4, 0, 0],\n [-4, 3, -4, 0],\n [-2, 2, 3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1278 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[3, 0, 2, 4],\n [-4, 4, 1, -4],\n [0, -2, 3, 3],\n [-1, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -139 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, -2, -2, 0],\n [-2, -4, 2, 3],\n [-2, 2, -3, -2],\n [0, 3, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 15971 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 0, 0, 0],\n [0, 3, 0, -3],\n [0, 0, 1, -4],\n [0, -3, -4, -2]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 0 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 1) of the result:\nA =\n[[-3, -4, 2, -2],\n [-2, 0, 3, -4],\n [2, -3, -3, 1],\n [0, 2, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 200 | MATH |
[
{
"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[0, 3, -2, 1],\n [3, -2, 2, -1],\n [-2, 2, -2, 0],\n [1, -1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -136 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 4, 2, -2],\n [4, 4, 2, 2],\n [2, 2, 4, 4],\n [-2, 2, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2407 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 2, 2, -2],\n [0, 3, -3, -4],\n [1, 4, 0, -1],\n [-2, -3, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -29 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, 2, 0, 0],\n [2, 3, -2, 1],\n [0, -2, 2, 0],\n [0, 1, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4265 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 3, 4, 3],\n [2, -1, -2, -3],\n [2, -4, 1, 3],\n [-4, 4, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1201 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[2, 2, 2, -2],\n [2, 2, 1, -3],\n [2, 1, -1, 1],\n [-2, -3, 1, 4]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 142 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, -2, 2, 0],\n [4, -2, 4, 3],\n [-3, -2, -2, -1],\n [-4, -3, -4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -214 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -3, 1, -4],\n [4, -2, -1, 0],\n [3, 4, 4, 4],\n [-1, -4, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 433 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[2, -2, -1, 4],\n [4, 0, 4, 1],\n [2, 4, -2, 2],\n [-2, -2, 3, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1150 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, -2, 0, 2],\n [-2, -4, -2, 0],\n [0, -2, -2, 4],\n [2, 0, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -146 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -4, -2, -1],\n [2, -1, -4, 3],\n [-1, 1, 1, 1],\n [1, -4, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4136 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 0, 0, -2],\n [0, -3, -2, 1],\n [0, -2, 1, 0],\n [-2, 1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 415 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[-2, 0, -1, 0],\n [0, 0, -1, 0],\n [-1, -1, 3, 0],\n [0, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 0 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[3, 2, 2, 1],\n [2, -3, 2, -1],\n [2, 2, -3, -1],\n [1, -1, -1, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 80 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, 2, 4],\n [0, -2, -3, 2],\n [-3, 1, -4, -3],\n [2, 4, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4944 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[2, -2, -1, -2],\n [2, -1, 3, 1],\n [-3, 1, -1, 2],\n [0, -3, -2, 3]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 118 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 2, -2, 0],\n [2, 1, -2, -1],\n [-2, -2, 2, -1],\n [0, -1, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -194 | MATH |
[
{
"content": "Find the value at position (4, 3) of the 3th power of the matrix:\n[[2, 1, 1, 4],\n [-4, -3, 2, 2],\n [1, -3, 1, 1],\n [4, 2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -32 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 4, 3, -3],\n [2, 2, 1, 3],\n [1, 1, 3, 1],\n [2, -2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2763 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[1, 4, -2, 1],\n [4, -4, -1, 3],\n [4, 1, -3, -1],\n [-2, 1, 0, 1]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -190 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 1, 1, -1],\n [-3, 1, 0, 1],\n [-2, -4, 0, -2],\n [0, -2, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1012 | MATH |
[
{
"content": "Find the value at position (4, 2) of the 3th power of the matrix:\n[[2, -4, -2, -1],\n [-4, 3, 0, 0],\n [-2, 0, 3, 0],\n [-1, 0, 0, 1]]\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 all entries of the result:\nA =\n[[2, 1, -2, 4],\n [-3, 2, 0, 2],\n [4, -4, 1, 4],\n [-1, -3, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1103 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[1, -4, 0, -3],\n [2, -2, -1, -3],\n [-1, -4, 2, 4],\n [4, 3, -3, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1063 | 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, 0, 4],\n [3, 4, 2, 2],\n [-3, -1, 1, -3],\n [3, 1, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6396 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 4, -3, -4],\n [4, 4, 0, -1],\n [-3, 0, 2, 4],\n [-3, 0, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1710 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, -2, -3, 0],\n [-2, 0, -4, 0],\n [-3, -4, 3, -2],\n [0, 0, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3312 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[-2, -3, 1, -2],\n [2, -3, 2, 1],\n [-3, -3, 1, -3],\n [-4, 1, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 38 | MATH |
[
{
"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[0, 1, 0, 0],\n [1, 3, -1, 3],\n [0, -1, 1, 0],\n [0, 3, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 54 | MATH |
[
{
"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[0, 0, 2, -3],\n [3, 2, 3, -4],\n [-3, 1, 0, -2],\n [-2, 1, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 14 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-4, -2, 1, 4],\n [-3, 4, 4, 4],\n [2, -3, 0, 3],\n [-1, 0, -4, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 832 | MATH |
[
{
"content": "Find the value at position (1, 4) of the 4th power of the matrix:\n[[4, 3, -4, 0],\n [-4, 2, -4, 2],\n [2, -2, 0, -2],\n [4, -1, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 162 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 0, -2, -1],\n [0, 0, 0, 0],\n [-2, 0, -2, 0],\n [-1, 0, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 202 | 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, 0],\n [-2, -2, -2, -1],\n [4, -2, -1, 1],\n [0, -1, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 7257 | MATH |
[
{
"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[-4, 0, -3, 2],\n [0, -4, 2, 0],\n [-3, 2, -3, 3],\n [2, 0, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 124 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 2, 1, -4],\n [2, -4, 2, 0],\n [1, 2, 3, 2],\n [-4, 0, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3704 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[2, 1, -2, 0],\n [1, -4, -2, 1],\n [-2, -2, 3, -2],\n [0, 1, -2, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -79 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, -1, 2, 2],\n [-1, 2, 0, 0],\n [2, 0, 1, 0],\n [2, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 822 | MATH |
[
{
"content": "Find the value at position (1, 4) of the 4th power of the matrix:\n[[-4, 4, -2, -2],\n [-1, 0, -3, 3],\n [2, 1, 1, 0],\n [2, 3, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -38 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[4, 2, 2, 1],\n [2, -1, 1, -3],\n [2, 1, 3, 0],\n [1, -3, 0, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 913 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[1, 4, -2, 0],\n [4, 0, 1, 2],\n [-2, 1, -4, 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"
}
] | 5747 | MATH |
[
{
"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[-1, 0, -3, 0],\n [0, 1, -1, 0],\n [-3, -1, -2, -2],\n [0, 0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -17 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 2, 0, -4],\n [2, 3, 3, 0],\n [0, 3, 0, 0],\n [-4, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 7787 | MATH |
[
{
"content": "What is the value at position (2, 1) of the matrix A^4 where A is:\n[[-2, 1, 3, -3],\n [1, 2, 3, -4],\n [4, -2, -3, -1],\n [3, -2, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 32 | 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 [-4, -1, -4, -2],\n [-1, 4, 4, -4],\n [4, -1, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 10860 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[4, -2, 0, 3],\n [-2, -4, 1, 1],\n [0, 1, -1, -2],\n [3, 1, -2, 0]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 106 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[4, 1, 3, -2],\n [1, 2, 0, -2],\n [3, 0, 1, 0],\n [-2, -2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 105 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 0, 0, 4],\n [4, -1, 0, 2],\n [-2, -2, 3, -4],\n [1, 4, -3, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -93 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 2, -4, 3],\n [4, -3, 2, -2],\n [-2, 3, -1, -4],\n [2, -4, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 136 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 0, -3, -2],\n [0, -4, 1, 0],\n [-3, 1, -3, -2],\n [-2, 0, -2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -714 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 0, -2, -3],\n [0, 0, 2, -1],\n [-2, 2, -2, 1],\n [-3, -1, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3921 | MATH |
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