X-Git-Url: http://gitweb.michael.orlitzky.com/?p=mjotex.git;a=blobdiff_plain;f=mjo-linear_algebra.tex;h=204ad05bd6b7981d32e2c56a4b268642d58d4ce2;hp=e2ae9fa5b18c008639db087142911ba51a6c10b0;hb=8f3a3f952b0e5bd692b9b41d1417c877b0e0425e;hpb=85d35b1401a30045cb5b3bca5e8faea5a3248bb3 diff --git a/mjo-linear_algebra.tex b/mjo-linear_algebra.tex index e2ae9fa..204ad05 100644 --- a/mjo-linear_algebra.tex +++ b/mjo-linear_algebra.tex @@ -51,6 +51,17 @@ % The trace of an operator. \newcommand*{\trace}[1]{ \operatorname{trace}\of{{#1}} } + +% The "rank" of its argument, which is context-dependent. It can mean +% any or all of, +% +% * the rank of a matrix, +% * the rank of a power-associative algebra (particularly an EJA), +% * the rank of an element in a Euclidean Jordan algebra. +% +\newcommand*{\rank}[1]{ \operatorname{rank}\of{{#1}} } + + % The ``span of'' operator. The name \span is already taken. \newcommand*{\spanof}[1]{ \operatorname{span}\of{{#1}} }