3
$\begingroup$

I have seem one proof here. However it involves concepts like exterior algebra. For positive definite matrix there is a proof for Sylvester's criterion by induction. I am wondering if there is any simpler proof for positive semi-definite matrix. Thanks!

$\endgroup$

marked as duplicate by user1551 linear-algebra Dec 24 '16 at 18:21

This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.