Chapter 7.7, Problem 1CP

(a)

To determine

To calculate: The second probability vector if the transition matrix is $P=\left[\begin{array}{ccc}0.1& 0.3& 0.6\\ 0.3& 0.5& 0.2\\ 0.1& 0.1& 0.8\end{array}\right]$ and the initial probability vector is $A_0=\left[\begin{array}{ccc}0.2& 0.3& 0.5\end{array}\right]$.

(b)

To determine

To calculate: The steady state vector if the transition matrix is $P=\left[\begin{array}{ccc}0.1& 0.3& 0.6\\ 0.3& 0.5& 0.2\\ 0.1& 0.1& 0.8\end{array}\right]$ and the initial probability vector is $A_0=\left[\begin{array}{ccc}0.2& 0.3& 0.5\end{array}\right]$.