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Old May 2nd 2008, 05:23 PM   #1
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Orthonormal eigenvectors

..............

Last edited by nairbdm; May 8th 2008 at 02:09 PM.
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Old May 3rd 2008, 02:30 AM   #2
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Originally Posted by nairbdm View Post
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?
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