Can you help me solve this question?thank you

For each of the following transition matrices, do the following: (1) Determine whether the Markov chain is irreducible; (2) Find a stationary distribution 7r; is the stationary distribution unique?; (3) Determine whether the Markov chain is periodic; (4) Give the period of each state. (5) Without using any software package, nd P'100 approximately (a) (0 1/3 2/3) P: 2/3 0 1/3 1/3 2/3 0 (b) p: hooo .2 .8 0 .5 .5 0 0 0 1 0 0 5