# Difference between revisions of "Shear transformation"

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], {visible: false}); | ], {visible: false}); | ||

+ | var l1 = board.create('line', [q, q1], {strokeWidth: 1}); | ||

var s1 = board.create('segment', [q, q1], {dash:2}); | var s1 = board.create('segment', [q, q1], {dash:2}); | ||

var s2 = board.create('segment', [qx, q], {dash:2}); | var s2 = board.create('segment', [qx, q], {dash:2}); |

## Revision as of 08:16, 31 May 2021

Shear transformation

- [math] \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]{x\choose \lambda}[/math] are mapped to:

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