The transformation

Ramsey
2020-11-02
Answered

Find the linear or affine transformations that satisty the desired properties and write it in the form $T(x)=Ax\text{}+\text{}b:$

The transformation$T\text{}:\text{}{\mathbb{R}}^{2}\text{}\to \text{}{\mathbb{R}}^{2}$ sending the origin to itself and a triangle of vertices

$(0,\text{}0),\text{}(1,\text{}0),\text{}(0,\text{}1)$ to a triangle of verices (0, 0),

$(\sqrt{\frac{2}{2}},\text{}\sqrt{\frac{2}{2}}),\text{}(-\sqrt{\frac{2}{2}},\text{}\sqrt{2}).$

The transformation

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