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Product of Pos. Def. Matrices

  1. Dec 7, 2011 #1
    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.

    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.
  2. jcsd
  3. Dec 11, 2011 #2
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