X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=mjo-linear_algebra.tex;h=b3d4296f1b968e0da72a2d553c637bfe93861819;hb=84908a9784ed6e4c8e856572ecb33a916a6fe46d;hp=b2ad59cd905119522685a2cca666d2718d3f98e7;hpb=3017c3cd35c6e084be956b12863ed8c9212abf8c;p=mjotex.git

diff --git a/mjo-linear_algebra.tex b/mjo-linear_algebra.tex
index b2ad59c..b3d4296 100644
--- a/mjo-linear_algebra.tex
+++ b/mjo-linear_algebra.tex
@@ -2,8 +2,17 @@
 % Standard operations from linear algebra.
 %
 
+% Needed for \lvert, \rVert, etc. and \operatorname.
+\usepackage{amsmath}
+
 \input{mjo-common}
 
+% Absolute value (modulis) of a scalar.
+\newcommand*{\abs}[1]{ \left\lvert {#1} \right\rvert }
+
+% Norm of a vector.
+\newcommand*{\norm}[1]{ \left\lVert {#1} \right\rVert }
+
 % The inner product between its two arguments.
 \newcommand*{\ip}[2]{ \langle {#1}, {#2} \rangle }
 
@@ -34,8 +43,5 @@
 % The ``write a big vector as a matrix'' operator.
 \newcommand*{\matricize}[1]{ \operatorname{mat} \of{{#1}} }
 
-% The inverse of the adjoint of an operator (the argument).
-\newcommand*{\adjinv}[1]{ \left( {#1}^{*} \right)^{-1} }
-
 % An inline column vector, with parentheses and a transpose operator.
 \newcommand*{\colvec}[1]{ \left( {#1} \right)^{T} }