Q$1.$ If ${}_0=\left[\begin{array}{ccc}0& 1& 0\end{array}\right],$ and the transition matrix is $A=\left[\begin{array}{ccc}0\mathrm{.}2& 0\mathrm{.}6& 0\mathrm{.}2\\ 0\mathrm{.}3& 0& 0\mathrm{.}7\\ 0\mathrm{.}5& 0& 0\mathrm{.}5\end{array}\right],$ then write a code in any platform to find the values of $$ for which $=A.$