Chapter 9, Problem 6RE

To determine

The absorbing states of the given transition matrix for a Markov chain.

$\begin{array}{l}\begin{array}{cccc}A& B& C& D\end{array}\\ P=\begin{array}{c}A\\ B\\ C\\ D\end{array}\left[\begin{array}{cccc}1& 0& 0& 0\\ 0& 1& 0& 0\\ 0& 0& .3& .7\\ 0& 0& .6& .4\end{array}\right]\end{array}$

To determine

Whether the Markov chain of the given transition matrix is regular, absorbing, or neither of the two.