\magnification=1200 \hsize=4in \overfullrule=0pt \input amssym \nopagenumbers \noindent % % {\bf David G. Wagner} % % \medskip \noindent % % {\bf Rank--Three Matroids are Rayleigh} % % \vskip 5mm \noindent % % % % A Rayleigh matroid is one which satisfies a set of inequalities analogous to the Rayleigh monotonicity property of linear resistive electrical networks. We show that every matroid of rank three satisfies these inequalities. \bye .