Proposition ($\mathcal{M}(T^{-1})=\mathcal{M}(T)^{-1}$)

If $T\in\mathscr{L}(V,W)$ is an invertible linear map, then the matrix of $T^{-1}$ is $\mathcal{M}(T^{-1})=\mathcal{M}(T)^{-1}$.