The simplify(expr, rtable) calling sequence simplifies expressions involving "+", "*" and "." that contain rtables.

$m≔⟨⟨1\,3\,3⟩\left|⟨2\,3\,-1⟩\right|⟨3\,4\,3⟩⟩\:$

$\mathrm{cm}≔m-\mathrm{\lambda }$

$\mathrm{cm}≔-\mathrm{\lambda }+\left[\begin{array}{ccc}1& 2& 3\\ 3& 3& 4\\ 3& \mathrm{-1}& 3\end{array}\right]$

$\mathrm{simplify}\left(\mathrm{cm}\,\mathrm{rtable}\right)$

$\left[\begin{array}{ccc}1-\mathrm{\lambda }& 2& 3\\ 3& 3-\mathrm{\lambda }& 4\\ 3& \mathrm{-1}& 3-\mathrm{\lambda }\end{array}\right]$