Chapter 9.1, Problem 11E

In Problems 9-14, use the transition matrix

$\begin{array}{l}\begin{array}{cc}A& B\end{array}\\ P=\begin{array}{c}A\\ B\end{array}\left[\begin{array}{cc}.7& .3\\ .1& .9\end{array}\right]\end{array}$

to find $S_1$ and $S_2$ for the indicated initial state matrix $S_0$.

$S_0=\left[\begin{array}{cc}.6& .4\end{array}\right]$