Answer
$(3,5,0)$
Work Step by Step
In this case the transformation is linear if $T(v_1+v_2)=T(v_1)+T(v_2)$ and $T(av_1)=aT(v_1)$ for any $v_1,v_2$ in the domain and any $a$ scalar.
Hence $T(2,-1,0)=2T(1,0,0)-T(0,1,0)=2(2,4,-1)-(1,3,-2)=(4,8,-2)-(1,3,-2)=(3,5,0)$