R to R^3/(2,3,4) and (5,-2,-1)/Affine-linear mapping/Exercise

Determine the affine-linear map

$\alpha \colon \mathbb {R} \longrightarrow \mathbb {R} ^{3}$

such that ${}\alpha (0)=(2,3,4)$ and ${}\alpha (1)=(5,-2,-1)$.

Create a solution