I wonder how I could make LaTeX align to the right some specific descriptions I wrote about the operations I apply to matrices. For example, here is a screenshot of what I have right now but I want it done better:
The code I used was:
\documentclass[11pt,a4paper,openany]{report}
\usepackage[utf8]{inputenc}
\usepackage{amssymb, mathrsfs}
\usepackage[dutch]{babel}
\usepackage{systeme, mathtools}
\usepackage[amsmath, thref, hyperref, thmmarks]{ntheorem}
\begin{document}
\begin{align*}
\det \begin{pmatrix} 4 & 3 & 2 \\ 3 & -2 & 5 \\ 2 & 4 & 6 \end{pmatrix}
&= 2 \det \begin{pmatrix} 4 & 3 & 2 \\ 3 & -2 & 5 \\ 1 & 2 & 3 \end{pmatrix}
\tag*{propositie 4.3.7 (toegepast op onderste rij)} \\
&= -2 \det \begin{pmatrix} 1 & 2 & 3 \\ 3 & -2 & 5 \\ 4 & 3 & 2 \end{pmatrix}
\tag*{propositie 4.3.5 ($R_1 \leftrightarrow R_3$)} \\
&= -2 \det \begin{pmatrix} 1 & 2 & 3 \\ 0 & -8 & -4 \\ 4 & 3 & 2 \end{pmatrix}
\tag*{propositie 4.3.8 ($R_2 \rightarrow R_2 - R_1$)} \\
&= -2 \det \begin{pmatrix} 1 & 2 & 3 \\ 0 & -8 & -4 \\ 0 & -5 & -10 \end{pmatrix}
\tag*{($R_3 \rightarrow R_3 - 4R_1$)}
\end{align*}
\end{document}
I want the descriptions right aligned, prefered with first the statement 'proposition', and underneath in brackets the operation which I applied, and all of this next to the corresponding matrix (to the right). How can this be done?