Find a matrix representation of the linear transformation $T$ relative to the bases $B$ and $C$. \begin{align*} &\ltdefn{T}{P_2}{\complex{2}},\quad \lt{T}{p(x)}=\colvector{p(1)\\p(3)}\\ &B=\set{2-5x+x^2,\,1+x-x^2,\,x^2}\\ &C=\set{\colvector{3\\4},\,\colvector{2\\3}} \end{align*}