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Let $A$ be an $n\times n$ symmetric positive definite matrix and let $B$ be an $m\times n$ matrix with $\mathrm{rank}(B)= m$. Show that $BAB'$ is symmetric positive definite.

  • 4
    Please try to not make your post sound like you are giving us an assignment.2011-09-30
  • 3
    The correct spelling is poove.2011-09-30

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