Problem 2 Let M be an n n symmetric matrix Show that M is positive definite i e v Mv 0 for all v 0 if and only if all

Question

Problem 2 Let M be an n n symmetric matrix Show that M is positive definite i e v Mv 0 for all v 0 if and only if all eigenvalues of M are positive You may and should use the result of the Spectral Theorem

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