Let and be distinct eigenvalues of a Hermitian matrix A. (a) Prove that if x

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Let λ and μ be distinct eigenvalues of a Hermitian matrix A.
(a) Prove that if x is an eigenvector corresponding to λ and y an eigenvector corresponding to μ, then x*Ay = λx*y and x* Ay = μx* y.
(b) Prove Theorem 10.6.4.
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