MAT 122 Lecture Notes - Lecture 18: Identity Matrix
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Regular transition matrix (p: regular transition matrix, if there exists a positive integer "n" such that pn has all its entries greater than 0. 1 0 (because there is a 0 in the matrix, you must take p to another power to nd out if it is regular) *sometimes you have to take it to many different powers before you nd if it is regular or not* P is regular because all entries are greater than 0. 1 0 0 (because there is a 0 in the matrix, you must take p to another power to nd out if it is regular) . 5 . 5 0 (still 0s, so we go to another power) . 25 . 25 . 5 (still 0s, so we go to another power) *please note: this means that you will never get rid of the 0s. V1 + v2 = 1: to solve, you must rst get all the variables on one side.
