Chapter A.1, Problem 2P

If $\text{A}=\left(\begin{array}{ccc}1& -2& 0\\ 3& -2& -1\\ -2& 1& 3\end{array}\right)$ and if $\text{B}=\left(\begin{array}{ccc}1& 0& 2\\ 0& 1& -1\\ 2& -1& 3\end{array}\right)$, find

$\begin{array}{lllll}\text{(a)}\text{2A+B}\hfill & \hfill & \hfill & \hfill & \text{(b)}\text{A-4B}\hfill \\ \text{(c)}\text{AB}\hfill & \hfill & \hfill & \hfill & \text{(d)}\text{BA}\hfill \\ \text{(e)}{\left(\text{A+B}\right)}^{\text{T}}\hfill & \hfill & \hfill & \hfill & \text{(f)}\left(\text{B+A}\right){\text{A}}^{\text{T}}\hfill \\ \text{(g)}{\text{A}}^{\text{2}}\text{=AA}\hfill & \hfill & \hfill & \hfill & \text{(h)}\text{AB-BA}\hfill \\ \text{(i)}{\text{B}}^{\text{3}}{\text{-5B}}^{\text{2}}{\text{+2B+2I}}_{\text{3}}\hfill & \hfill & \hfill & \hfill & \hfill \end{array}$