23. Sean las transformaciones lineales $T_{1}: \mathbb{R}^{2} \rightarrow \mathbb{R}^{2}$, $T_{1}\left(x_{1}, x_{2}\right)=\left(x_{1}-x_{2}, x_{1}+2 x_{2}\right)$, $T_{2}: \mathbb{R}^{3} \rightarrow \mathbb{R}^{2}$, $T_{2}(\vec{v})=\left(\begin{array}{ccc}1 & 0 & 1 \\ -1 & 2 & 3\end{array}\right)\cdot \vec{v}$, y $T_{3}: \mathbb{R}^{2} \rightarrow \mathbb{R}^{3}$ tal que $A_{T_{3}}=\left(\begin{array}{cc}1 & 0 \\ -1 & 0 \\ 2 & 2\end{array}\right)$. Hallar las expresiones matriciales de $T_{1} \circ T_{1}$, $T_{2} \circ T_{3}$ y $T_{3} \circ T_{2}$.