15-00-FrobeniusInequality.tex

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\pmcanonicalname{FrobeniusInequality}
\pmcreated{2013-03-22 15:30:03}
\pmmodified{2013-03-22 15:30:03}
\pmowner{georgiosl}{7242}
\pmmodifier{georgiosl}{7242}
\pmtitle{Frobenius inequality}
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\pmauthor{georgiosl}{7242}
\pmtype{Theorem}
\pmcomment{trigger rebuild}
\pmclassification{msc}{15-00}

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\begin{document}
For any matrices $A$,\,$B$,\,$C$ such that $ABC$ exists, then
$\operatorname{rank} AB + \operatorname{rank} BC \leq \operatorname{rank} ABC+
\operatorname{rank} B.$
\begin{thebibliography}{9}
\bibitem {eves} Carl D. Meyer
\emph{Matrix Analysis and Applied Linear Algebra}
\end{thebibliography}
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\end{document}