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**jellosalade** 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.

a) find the transition matrix

b) in the long run, how often does she buy each of the three brands?

for a. i got

T=

[0 1 0]

|.6 0 .2|

[.6 .2 0]

im not sure how to do the second part or if i got the right transition matrix for part a. help?