This student never eats the same kind of food for 2 consecutive weeks. If she eats a Chinese restaurant one week, then she is three times as likely to have Greek as Italian food the next week. If she eats a Greek restaurant one week, then she is five times as likely to have Chinese as Italian food the next week. If she eats a Italian restaurant one week, then she is four times as likely to have Chinese as Greek food the next week. Assume that state 1 is Chinese and that state 2 is Greek, and state 3 is Italian. Required:
Find the transition matrix for this Markov process.