Please solve it all by steps { specified on them }

In Problems 45-48, use the given information to draw the transition diagram and find the transition matrix. 45. A Markov chain has two states, A and B. The probability of going from state A to state B in one trial is .7, and the probability of going from state B to state A in one trial is .9. In Problems 21-24, use the transition diagram to find S2 for the indicated initial-state matrix S0. 21. S0=[.2.8] 22. S0=[.6.4] 23. S0=[9.1] 24. S0=[.7.3] In Problems 25-32, could the given matrix be the transition matrix of a Markov chain? 25. [.31.70] 26. [.9.4.1.8] 27. [.5.7.5.3] 28. [0110] 29. [.1.2.3.4.6.4] 30. .2.5.9.8.5.1