Shear transformation

[math]\displaystyle{ \varphi: {\cal A}(\mathbb{R}^2) \to {\cal A}(\mathbb{R}^2), \; x \mapsto \begin{pmatrix}1 & 1 \\ 0& 1\end{pmatrix} }[/math]

Points of the form [math]\displaystyle{ {x\choose \lambda} }[/math] are mapped to:

[math]\displaystyle{ \varphi({x\choose \lambda}) = {x + \lambda\choose} }[/math]