X-Git-Url: http://gitweb.michael.orlitzky.com/?p=mjotex.git;a=blobdiff_plain;f=mjo-linear_algebra.tex;h=ebf4acddc359c7b02b6c9f81f29b05564a6290d8;hp=172010c6a548e4c7dd77a29f67283941152ce356;hb=c7fe6fa3e9c7f25fc3b14b7fc294dddad730fb32;hpb=90b275219d518d1c851c71c87484c1a3385f3b70 diff --git a/mjo-linear_algebra.tex b/mjo-linear_algebra.tex index 172010c..ebf4acd 100644 --- a/mjo-linear_algebra.tex +++ b/mjo-linear_algebra.tex @@ -7,7 +7,7 @@ \input{mjo-common} -% Absolute value (modulis) of a scalar. +% Absolute value (modulus) of a scalar. \newcommand*{\abs}[1]{\left\lvert{#1}\right\rvert} % Norm of a vector. @@ -31,15 +31,15 @@ % specialized to real matrices. \newcommand*{\transpose}[1]{ #1^{T} } +% The trace of an operator. +\newcommand*{\trace}[1]{ \operatorname{trace}\of{{#1}} } + % The ``span of'' operator. The name \span is already taken. \newcommand*{\spanof}[1]{ \operatorname{span}\of{{#1}} } % The ``co-dimension of'' operator. \newcommand*{\codim}{ \operatorname{codim} } -% The trace of an operator. -\newcommand*{\trace}[1]{ \operatorname{trace}\of{{#1}} } - % The orthogonal projection of its second argument onto the first. \newcommand*{\proj}[2] { \operatorname{proj}\of{#1, #2} }