Chapter 6.3, Problem 27E

Finding Standard Matrices for Compositions In Exercises $27-30$, find the standard matrices $A$and $A^{\prime }$for $T=T_2\circ T_1$and $T^{\prime }=T_1\circ T_2$.

$T_1:R^2\to R^2$, $T_1\left(x,y\right)=\left(x-2y,2x+3y\right)$

$T_2:R^2\to R^2$, $T_2\left(x,y\right)=\left(y,0\right)$