Which of the following could be but might not be the eigenva

Which of the following could be (but might not be) the eigenvalues of A = [2 4 + i 6 - 2i 0 4 - i -5 3 - 2i -10 6 + 2i 3 + 2i -1 -3i 0 -10 3i 0] {3 - 2i, 3 + 2i, 6 + 2i, 6 - 2i} {2 - 5, 3 - 2i, 3 + 2i} {1, 7. -2, 4} {2, -5, 1, 3i}

Solution

D. The characteristic polynomial is of order 4

If one root is 3i then other root has to be -3i

Hence D is not possible