Suppose that $\vect{v}_1$ and $\vect{v}_2$ are any two vectors from $\complex{m}$. Prove the following set equality. \begin{equation*} \spn{\set{\vect{v}_1,\,\vect{v}_2}} = \spn{\set{\vect{v}_1+\vect{v}_2,\,\vect{v}_1-\vect{v}_2}} \end{equation*}