Question: (a) Show that, for a positive definite, symmetric matrix A, Theorem 7 .13 gives the orthogonal diagonalization of A, as guaranteed by the Spectral Theorem.

(a) Show that, for a positive definite, symmetric matrix A, Theorem 7 .13 gives the orthogonal diagonalization of A, as guaranteed by the Spectral Theorem.
(b) Show that, for a positive definite, symmetric matrix A, Theorem 7 .14 gives the spectral decomposition of A.

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