A housekeeper buys three kinds of cereal: A, B, C. She never buys the same cereal in successive weeks. If she buys cereal A, then the next week she buys cereal B. However, if she buys either B or C, then the next week she is three times as likely to buy A as the other brand.(b) In the long run, how often does she buy each of the three brands?

(a) Find the transition matrix.

not sure how toset this one up and get going