Suppose that $S=\set{\vect{v}_1,\,\vect{v}_2,\,\vect{v}_3}$ is a set of three vectors from $\complex{873}$. Prove that the set \begin{align*} T&= \set{ 2\vect{v}_1+3\vect{v}_2+\vect{v}_3,\, \vect{v}_1-\vect{v}_2-2\vect{v}_3,\, 2\vect{v}_1+\vect{v}_2-\vect{v}_3 } \end{align*} is linearly dependent.