Question

could the given matrix be the transition matrix of a regular markov chain? finite

Could the given matrix be the transition matrix of a regular Markov chain? 0.4 0.6 0.2 0.3 Choose the correct answer below. Yes No

Answer 1

Answer :- NO

A Markov transition matrix is a square matrix describing the probabilities of moving from one state to another in a dynamic system. In each row are the probabilities of moving from the state represented by that row, to the other states. Thus the rows of a Markov transition matrix each add to one.

Regular Markov Chain: A transition matrix is regular when there is power of T that contains all positive no zeros entries. c) If all entries on the main diagonal are zero, but I n (after multiplying by itself n times) contain all postive entries, then it is regular.

A transition matrix P is regular if some power of P has only positive entries. A Markov chain is a regular Markov chain if its transition matrix is regular. For example, if you take successive powers of the matrix D, the entries of D will always be positive (or so it appears). So D would be regular.