Lemma 1: All eigenvalues of a Hermitian matrix are real. Proof: Let be Hermitian and and be an eigenvalue and the corresponding eigenvector of . We have . Thus we have as is real in general. Lemma 2: Two eigenvectors of a Hermitian matrix are orthogonal to each other if their eigenvalues are different. Proof:…

## Some Results for Hermitian Matrix

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