Show that if 1 and 2 are eigenvalues of a Hermitian matrix A, and if 1 = 2, then

Chapter 7, Problem 33

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Show that if 1 and 2 are eigenvalues of a Hermitian matrix A, and if 1 = 2, then thecorresponding eigenvectors x(1) and x(2) are orthogonal.Hint: Use the results of 26(c) and 32 to show that (1 2)(x(1), x(2)) = 0.

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