Here's the claim: Assume that [itex]A[/itex] and [itex]B[/itex] are both symmetric matrices of the same size. Also assume that at least other one of them does not have negative eigenvalues. Then(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

\textrm{Tr}(ABAB)\geq 0

[/tex]

I don't know how to prove this!

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# Trace Inequality Tr(ABAB)

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