Chapter 1.3, Problem 1E

If

$A=\left[\begin{array}{ccc}3& 1& 4\\ -2& 0& 1\\ 1& 2& 2\end{array}\right]$  and   $B=\left[\begin{array}{ccc}1& 0& 2\\ -3& 1& 1\\ 2& -4& 1\end{array}\right]$

compute

(a) $2A$

(b) $A+B$

(c) $2A-3B$

(d) ${(2A)}^T-{(3B)}^T$

(e) $AB$

(f) $BA$

(g) $A^T{B}^T$

(h) ${(BA)}^T$