In this problem we show that the eigenvalues of a
Chapter 7, Problem 32(choose chapter or problem)
In this problem we show that the eigenvalues of a Hermitian matrix A are real. Let x bean eigenvector corresponding to the eigenvalue .(a) Show that (Ax, x) = (x,Ax). Hint: See 26(c).(b) Show that (x, x) = (x, x). Hint: Recall that Ax = x.(c) Show that = ; that is, the eigenvalue is real.
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