$x^{}=\left[\begin{array}{ccc}-2& 3& -9\end{array}\right]$

$0x+\left[\begin{array}{c}1\end{array}\right]$

$2u$

$y=\left[\begin{array}{cc}2& 0\mathrm{.}5\end{array}\right]x+9u$

Q$1.$ For the system above, show what $L$ out of the following choices will you choose to create a Luenberger observer, $L={\left[\begin{array}{cc}1& 1\end{array}\right]}^T$ or $L={\left[\begin{array}{cc}-9& -10\end{array}\right]}^T.$ Show all calculations and explain your reasoning. and write down the observer equations i$.$e$.$ hat$(x{)}^{}=?,$hat$(y)=?[10$ points$]$