If a parametric surface given by $\mathbf{r_{1}}(u, v) = f(u, v)\mathbf{i} + g(u, v)\mathbf{j} + h(u, v)\mathbf{k}$ and $-2 \leq u \leq 2, -3 \leq v \leq 3$, has surface area equal to 1, what is the surface area of the parametric surface given by $\mathbf{r_{2}}(u, v) = 4\mathbf{r_{1}}(u, v)$ with $-2 \leq u \leq 2, -3 \leq v \leq 3$?