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Use Exercises 20 and 21 to show that an  matrix is unitary if and only if its columns form an orthonormal set in
22. with the Euclidean inner product.

     Let and be distinct eigenvalues of a Hermitian matrix .                                                           and
23.

         (a) Prove that if is an eigenvector corresponding to and an eigenvector corresponding to , then
                               .

(b) Prove Theorem 10.6.4.

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