Affine space/Affine line/Description as preimage/1/Exercise

Describe the affine line

${}G={\left\{{\begin{pmatrix}6\\2\\3\end{pmatrix}}+s{\begin{pmatrix}-2\\5\\4\end{pmatrix}}\mid s\in \mathbb {R} \right\}}\,$

as the preimage over ${}(1,0)$ of an affine mapping ${}\psi \colon \mathbb {R} ^{3}\rightarrow \mathbb {R} ^{2}$.

Create a solution