Affine mapping/Affine subspace/Image/Exercise

Let

$\varphi \colon E\longrightarrow F$

be an affine-linear mapping between the affine spaces ${}E$ and ${}F$ over ${}K$. Show that, for every affine subspace ${}H\subseteq E$, the image ${}\varphi (H)$ is an affine subspace of ${}F$.

Create a solution