Let and be distinct eigenvalues of a Hermitian matrix A (a) Prove that if x is an eigenvector corresponding to and y an eigenvector corresponding to , then x Ay x y and x Ay x y (b) Prove Theorem 10 6 4

Question: Let and be distinct eigenvalues of a Hermitian matrix A. (a) Prove that if x is an eigenvector corresponding to and y

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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a We know that A A that Ax x and that Ay y Therefore x Ay xy xy x y and x Ay x Ay y Ax y Ax y ... View full answer

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