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.
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.
Although the question has been already solved by topsquark , I'd like to add that $\displaystyle D=\textrm{diag}(\lambda_1,\ldots,\lambda_n)\in\mat hbb{C}^{n\times n}$ is hermitian iff $\displaystyle \lambda_i\in\mathbb{R}$ for all $\displaystyle i=1,\ldots,n$. So, all diagonal real matrices with $\displaystyle \lambda_i\neq \lambda_j$ for all $\displaystyle i\neq j$ are hermitian and have $\displaystyle n$ distinct eigenvalues.