consider the hasis $S=\{v_1,v_2\}$ for $R^2,$ where: $v_1=(1,1),v_2=(1,0)$ and Let $T$:$R^2{R}^2$ be a linear

Transformation such that

$T(v_1)=(1,-2),T(v_2)=(-4,1)$

Find the formula of $T.$

Find $T(5,-3)$