X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=examples.tex;h=babc886abe26b31ef223cb783e2fa43d4d848d79;hb=cab35094298c00d10035e926b64ff69df33393a5;hp=7646b66183ec3ce967677147959b6ef195cb1470;hpb=390a27bedd90d549cefe80c0a973575b8a636978;p=mjotex.git diff --git a/examples.tex b/examples.tex index 7646b66..babc886 100644 --- a/examples.tex +++ b/examples.tex @@ -38,7 +38,8 @@ containing the set $\set{x,y,z}$. If $R$ has a multiplicative identity (that is, a unit) element, - then that element is denoted by $\unit{R}$. + then that element is denoted by $\unit{R}$. Its additive identity + element is $\zero{R}$. \end{section} \begin{section}{Algorithm} @@ -202,7 +203,8 @@ instead. If you want to solve a system of equations, try Cramer's - rule~\cite{ehrenborg}. + rule~\cite{ehrenborg}. Or at least the reduced row-echelon form of + the matrix, $\rref{A}$. The direct sum of $V$ and $W$ is $\directsum{V}{W}$, of course, but what if $W = V^{\perp}$? Then we wish to indicate that fact by