### edits for map2

parent 69296521
 % answerjh.sty 2001-May-23 \typeout{2001-May-23 Document Style `answerjh'. Jim Hefferon} \RequirePackage[single,nowrite]{bookans} %!!! no write !!! else ereases answers \RequirePackage{linalgjh,bookjh} \RequirePackage{bookjh,linalgjh} % PAGE DIMENSIONS ... ...
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 ... ... @@ -85,7 +85,8 @@ % There is an optional argument \begin{mat}[r]{3} .. \end{mat} for % right-flushed columns. Perhaps the rule is that numbers are better % right-flushed but if there are any letters it is better centered? \newenvironment{mat}[1][c]{\begin{pmatrix*}[#1]}{\end{pmatrix*}} \newenvironment{mat}[1][c]{\begin{pmatrix*}[#1] % If mat starts with &\vdots get an error; why? }{\end{pmatrix*}} \newenvironment{amat}[2][c]{% \left(\begin{array}{@{}*{#2}{#1}|#1@{}} }{% ... ...
 ... ... @@ -289,11 +289,13 @@ and scalar multiplication. Thus $f_2$ is an isomorphism and we write $V\isomorphicto\polyspace_2$. \end{example} We are sometimes interested in an isomorphism of a space with itself, called an \definend{automorphism}\index{automorphism}% \index{isomorphism!of a space with itself}. One automorphism is the identity map. The next two examples show that there are others. Every space is isomorphic to itself under the identity map. \begin{definition} An \definend{automorphism}\index{automorphism}% is an isomorphism of a space with itself\index{isomorphism!of a space with itself}. \end{definition} \begin{example} \label{exam:RigidPlaneMapsAutos} A \definend{dilation}\index{dilation}\index{automorphism!dilation} ... ...
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