please answer quickly

A B A 0.4 0.6 The transition matrix for a Markov chain is shown to the right. P= B 0.1 0.9 (A) If So = 0 1 , find S2, S4, S. Can you identify a state matrix S that the matrices S seem to be approaching? (B) Repeat part (A) for So = 1 0 ]. (C) Repeat part (A) for So = 0.6 0.4 ]. (D) Find SP for any matrix S you identified in parts (A)-(C). (E) Describe the long-term behavior of the state matrices of this Markov chain