Can someone point me to the proof or give it here for the claim that product of the two positive definite (real) matrices is positive definite.(adsbygoogle = window.adsbygoogle || []).push({});

How about determinants of two matrices? Is det(AB) = det(BA)

Rank(AB) = Rank(A)Rank(B)?

Thank you in advance.

This is not a homework question. If you need a proof or a source for my claim please send PM.

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# Product of Pos. Def. Matrices

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