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.
symmetric positive definite matrix question
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linear-algebra
matrices
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4Please try to not make your post sound like you are giving us an assignment. – 2011-09-30
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3The correct spelling is poove. – 2011-09-30