Linear transformation on three anchor vectors

Let $T:\mathbb{R}^{3}\to\mathbb{R}^{4}$ be a linear transformation. If $T(1,1,0)=(2,0,0,0)$, $T(1,0,1)=(2,4,0,0)$ and $T(0,1,1)=(0,0,2,0)$, then $T(1,1,1)$ equals