(Solved): Consider the following matrices A=231010112,B=211 ...

Consider the following matrices $A=\left[\begin{array}{ccc}2& 0& 1\\ -3& 1& -1\\ 1& 0& 2\end{array}\right],B=\left[\begin{array}{ccc}2& -1& 2\\ -1& 1& 0\\ 1& -3& 2\end{array}\right],C-\left[\begin{array}{lll}2& 0& 1\\ 3& 4& 1\end{array}\right]$ and $r-(12)$ (a) Does $A+B$ exist? If no, explain why nok. If $\mathrm{grx}$, finel it. (b) Does C"A rxist? If no, explnin whe not. If yex, fitsd it. (c) Does $\mathrm{Cl}+\mathrm{CB}$ exist? If na explain why not. If yea find it. (d) Does ${\mathrm{C}}^4$ exat? If no, expluta why not. If ges, fisd it. (e) Ders v'C exilt? If so, explain aly oot. If yex find h. Consider the following matrices $A=\left[\begin{array}{ccc}2& 0& 1\\ -3& 4& -1\\ 1& 0& 2\end{array}\right],B=\left[\begin{array}{ccc}2& -4& 2\\ -1& 1& 0\\ 1& -3& 2\end{array}\right],C=\left[\begin{array}{ccc}2& 0& 1\\ 3& 4& 1\end{array}\right]\text{ and }E-\left(\begin{array}{ll}1& 2\end{array}\right)$ (a) Does $A+B$ exist? If no, explnin why not. If yrs, find it. (b) Does $C^{\prime }A$ exise? If no, explain why not. If yss, find it. (c) Does $CA+CB$ exist? If no, explain why not, If yos, find it. (d) Does $C^{-4}$ exist? If no, explain why not. If yes, find it.