Homomorphism space/Vector space/Exercise

Let ${\displaystyle {}K}$ be a field, and let ${\displaystyle {}V}$ and ${\displaystyle {}W}$ be ${\displaystyle {}K}$-vector spaces. Show that the homomorphism space

${\displaystyle \operatorname {Hom} _{K}{\left(V,W\right)}}$

is a vector space.