Given

$[A]=([1,4,1],[2,1,2],[6,2,3])$;$,[B]=([1,2,3],[3,4,5],[2,5,1])$;$,[C]=([2,0,-1],[4,-5,2])$;$,[D]=([7,-5,1],[1,-4,-3])$; $[E]=\left[\begin{array}{cc}-1& 1\\ 3& 4\end{array}\right]$;$,[F]=\left[\begin{array}{cc}-3& -5\\ 2& 1\end{array}\right]$;$,[G]=(\frac{-5}{3})$;$,[H]=\left[\begin{array}{cc}3& -6\\ -1& 2\end{array}\right]$

compute each expression if it is defined. If an expression is undefined explain why.

a$)A^T$

f$)2E-3G,$

b$)A+B$

g$)EF,$

c$)$ AB

h$)$ Verify that $HE=HF,$

d$)C+3D$

i$)$ Verify that $E^T+F^T=(E+F{)}^T.$

e$)CE,$