X-Git-Url: http://gitweb.michael.orlitzky.com/?p=mjotex.git;a=blobdiff_plain;f=examples.tex;h=c3e22e7d96e4660356020cb9d66aeac0074304a5;hp=1d79079ee0ba4c1f5fe09422a8e0f363da81e139;hb=10b83af54da036b9f3122b5e82b18816c5acf386;hpb=8f1fcf7f68cfd450c4374524a16a92bf610edc9c

diff --git a/examples.tex b/examples.tex
index 1d79079..c3e22e7 100644
--- a/examples.tex
+++ b/examples.tex
@@ -176,14 +176,16 @@
     matrices $A$ and $B$ is $\kp{A}{B}$. The adjoint of the operator
     $L$ is $\adjoint{L}$, or if it's a matrix, then its transpose is
     $\transpose{L}$. Its trace is $\trace{L}$, and its spectrum---the
-    set of its eigenvalues---is $\spectrum{L}$. Another matrix-specific
-    concept is the Moore-Penrose pseudoinverse of $L$, denoted by
-    $\pseudoinverse{L}$. Finally, the rank of a matrix $L$ is
-    $\rank{L}$. As far as matrix spaces go, we have the $n$-by-$n$
+    set of its eigenvalues---is $\spectrum{L}$. Another
+    matrix-specific concept is the Moore-Penrose pseudoinverse of $L$,
+    denoted by $\pseudoinverse{L}$. Finally, the rank of a matrix $L$
+    is $\rank{L}$. As far as matrix spaces go, we have the $n$-by-$n$
     real-symmetric and complex-Hermitian matrices $\Sn$ and $\Hn$
     respectively; however $\Sn[1]$ and $\Hn[1]$ do not automatically
     simplify because the ``$n$'' does not indicate the arity of a
-    Cartesian product in this case.
+    Cartesian product in this case. A handy way to represent the
+    matrix $A \in \Rn[n \times n]$ whose only non-zero entries are on
+    the diagonal is $\diag{\colvec{A_{11},A_{22},\ldots,A_{nn}}}$.
 
     The span of a set $X$ is $\spanof{X}$, and its codimension is
     $\codim{X}$. The projection of $X$ onto $V$ is $\proj{V}{X}$. The