Consider the following probability transition matrix: $$\left( \begin{array} { c c c c c c }
0 & 1 & 0 & 0 & 0 & 0 \
.4 & .6 & 0 & 0 & 0 & 0 \
.3 & 0 & .4 & .2 & .1 & 0 \
0 & 0 & 0 & .3 & .7 & 0 \
0 & 0 & 0 & .5 & 0 & .5 \
0 & 0 & 0 & .3 & 0 & .7
\end{array} \right)$$ Find the classes of this Markov chain and determine whether each is recurrent or transient.

Question

Consider the following probability transition matrix: $$\left( \begin{array} { c c c c c c } 
0 & 1 & 0 & 0 & 0 & 0 \
.4 & .6 & 0 & 0 & 0 & 0 \
.3 & 0 & .4 & .2 & .1 & 0 \
0 & 0 & 0 & .3 & .7 & 0 \
0 & 0 & 0 & .5 & 0 & .5 \
0 & 0 & 0 & .3 & 0 & .7
\end{array} \right)$$ Find the classes of this Markov chain and determine whether each is recurrent or transient.

Quizplus · Accepted Answer

The Answer of Consider the following probability transition matrix: $$\left( \begin{array} { c c c c c c } 
0 & 1 & 0 & 0 & 0 & 0 \
.4 & .6 & 0 & 0 & 0 & 0 \
.3 & 0 & .4 & .2 & .1 & 0 \
0 & 0 & 0 & .3 & .7 & 0 \
0 & 0 & 0 & .5 & 0 & .5 \
0 & 0 & 0 & .3 & 0 & .7
\end{array} \right)$$ Find the classes of this Markov chain and determine whether each is recurrent or transient.

Consider the Following Probability Transition Matrix Find the Classes of This Markov Chain and Determine Whether