Do anyone has an example of nxn hermitian matrix with complex entries which has repeated eigenvalues?
If can make the n as small as possible. Thank you
Sorry for the mistake I made before in my question.
Last edited by guin; March 1st 2011 at 02:23 AM.
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Originally Posted by guin Do anyone has an example of nxn hermitian matrix over complex which has n distinct eigenvalues?
If can make the n as small as possible. Thank you If you want a simple one:
You can add window dressing to it, but it fits what you asked for. Did you want one less "trivial" to work on yourself?
Although the question has been already solved by topsquark , I'd like to add that is hermitian iff for all . So, all diagonal real matrices with for all are hermitian and have distinct eigenvalues.
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