X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=examples.tex;h=0656165d2c7821f1f366cda489bf3dd21f4eaa54;hb=fe30cc3cf8f9a88785d2899d00a727931377bb5d;hp=cd615de16cbab3fc8381aac6aeb4039d945f5601;hpb=123eb0365b7a38288f0cd80a0c70b203b8ff33fd;p=mjotex.git diff --git a/examples.tex b/examples.tex index cd615de..0656165 100644 --- a/examples.tex +++ b/examples.tex @@ -192,7 +192,11 @@ $\transpose{L}$. Its trace is $\trace{L}$. Another matrix-specific concept is the Moore-Penrose pseudoinverse of $L$, denoted by $\pseudoinverse{L}$. Finally, the rank of a matrix $L$ is - $\rank{L}$. + $\rank{L}$. 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. 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