Assume a friend has developed an excellent program for finding the steadystate probabilities for finite-state Markov chains. More precisely, given the transition matrix [P], the program returns n→∞...

Assume a friend has developed an excellent program for finding the steadystate probabilities for finite-state Markov chains. More precisely, given the transition matrix [P], the program returns_n→∞
 for each i. Assume all chains are aperiodic.