## range of L.T.

Determine the range of the linear transformation $T:V_4 \to V_3$ defined by $T(x_1,x_2,x_3,x_4)=(x_1-x_4,\,x_2+x_3,\,x_3-x_4)$. Also find the Rank of $T$.
Pl help to solve this..
Thanks in advance..