Question: Problem 2. Let M be an n x n symmetric matrix. Show that M is positive definite (i.e. v Mv > 0 for all

Problem 2. Let M be an n x n symmetric matrix. Show

Problem 2. Let M be an n x 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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