Question: In Section 5.3 we defined a positive definite matrix as a square symmetric matrix C such that yTCy > 0 for every nonzero vector y

In Section 5.3 we defined a positive definite matrix as a square symmetric matrix C such that yTCy > 0 for every nonzero vector y in Rn. Prove that any eigenvalue of a positive definite matrix is positive?

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