Operation Research (Markov Chains)

1) For the matrix below, find P2 and P3. Is it an ergodic chain? 0.2 0.3 0.3 0 P=10 2) Find the steady-state vector t for each of the regular matrices below: a) b) 0.8 0.2 0 P=10.2 0.4 0.4 0.5 0.5 0.2 0.3 0.5 P=10.3 0.4 0.3 0.5 0.3 0.2 0 3) Determine if the following chain is ergodic. Can the steady-state vector be found? Why or why not? If possible, find the steady-state vector. 0 P=| 0.5 0 0.5