# Difference between revisions of "Shear transformation"

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:<math> | :<math> | ||

− | \varphi: {\cal A}(\mathbb{R}), \; x \mapsto \begin{pmatrix}1 & 1 \\ 0& 1\end{pmatrix} | + | \varphi: {\cal A}(\mathbb{R}^2) \to {\cal A}(\mathbb{R}^2), \; x \mapsto \begin{pmatrix}1 & 1 \\ 0& 1\end{pmatrix} |

</math> | </math> | ||

+ | Points of type <math>{x\choose \lambda}</math> are mapped to: | ||

+ | :<math> | ||

+ | \varphi{x\choose \lambda} = | ||

+ | </math> | ||

+ | |||

<jsxgraph width="500" height="500"> | <jsxgraph width="500" height="500"> |

## Revision as of 09:07, 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 type [math]{x\choose \lambda}[/math] are mapped to:

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