Exercise MR.T40 Chili Johnson

Theorem VSLT defines the vector space $\vslt{U}{V}$ containing all linear transformations with domain $U$ and codomain $V$. Suppose $\dimension{U}=n$ and $\dimension{V}=m$. Prove that $\vslt{U}{V}$ is isomorphic to $M_{mn}$, the vector space of all $m\times n$ matrices (Example VSM). (Hint: we could have suggested this exercise in Chapter LT, but have postponed it to this section. Why?)