Originally Posted by **nairbdm** I have a 3X3 matrix M: {1,-*i*(2^(1/2)),0} {*i(*2^(1/2)),0,0} {0,0,2} And I am trying to find a set of orthonormal eigenvectors for M. If anyone can help, I would greatly appreciate it. Thanks, Brian |

Eigen values: Solve $\displaystyle \det(M - \lambda I) = 0$.

Expand along the bottom row to get the determinant.

Then $\displaystyle \lambda = -1, 2, 2$.

Does that get you started?