## 403/503 – HW5

Show that affine spaces are closed under affine combinations, that is: If $C$ is an affine space, $n$ is any positive integer, $c_1,\dots,c_n$ are any vectors in $C$, and $r_1,\dots,r_n$ are any reals such that

$r_1+\dots+r_n=1$,

then $r_1c_1+\dots+r_nc_n\in C$.

(Due February 2 at the beginning of lecture.)