# Difference between revisions of "Shear transformation"

$\varphi: {\cal A}(\mathbb{R}^2) \to {\cal A}(\mathbb{R}^2), \; x \mapsto \begin{pmatrix}1 & 1 \\ 0& 1\end{pmatrix}$
Points of the form ${x\choose \lambda}$ are mapped to:
$\varphi({x\choose \lambda}) = {x + \lambda\choose}$