Set of Linear Transformations is Isomorphic to Matrix Space/Corollary

Corollary to Linear Transformations Isomorphic to Matrix Space
Let $R$ be a commutative ring with unity.

Let $M: \left({\mathcal L_R \left({G}\right), +, \circ}\right) \to \left({\mathcal M_R \left({n}\right), +, \times}\right)$ be defined as:


 * $\forall u \in \mathcal L_R \left({G}\right): M \left({u}\right) = \left[{u; \left \langle {a_n} \right \rangle}\right]$

Then $M$ is an isomorphism.

Proof
Follows directly from Linear Transformations Isomorphic to Matrix Space.