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% arara: pdflatex
% arara: makeglossaries
% arara: pdflatex
\documentclass{article}
\usepackage[T1]{fontenc}
\usepackage{amsmath}
\usepackage[colorlinks]{hyperref}
\usepackage[postdot,style=index]{glossaries-extra}
\makeglossaries
\newcommand*{\mtx}[1]{\boldsymbol{#1}}
\newcommand*{\mtxinv}[1]{\mtx{#1}\sp{-1}}
\newglossaryentry{matrix}{%
name={matrix},
symbol={\ensuremath{\mtx{M}}},
plural={matrices},
user1={mtx},
description={rectangular array of values}
}
\newglossaryentry{identitymatrix}{%
name={identity matrix},
symbol={\ensuremath{\mtx{I}}},
plural={identity matrices},
description={a diagonal matrix with all diagonal elements equal to
1 and all other elements equal to 0}
}
\newglossaryentry{matrixinv}{%
name={matrix inverse},
symbol={\ensuremath{\mtxinv{M}}},
user1={mtxinv},
description={a square \gls{matrix} such that
$\mtx{M}\mtxinv{M}=\glssymbol{identitymatrix}$}
}
\renewcommand{\GlsXtrFmtDefaultOptions}{hyper=false,noindex}
\begin{document}
A \gls{matrix} is denoted \glssymbol{matrix}.
The inverse is denoted \glssymbol{matrixinv}.
\newpage
\[
\glsxtrfmt{matrix}{A}
\glsxtrfmt{matrixinv}{A}
=
\glssymbol{identitymatrix}
\]
\newpage
\printglossaries
\end{document}
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