The Stationary measure also known as the Invariant Distribution of a markov chain, M, is a row vector of values that when multiplied by the probability transition matrix, P, of that MC returns the same vector back as the product, M*P=M.
I can solve this by hand using a system of equations that involves doing the vector-matrix multiplication of the PTM and a vector a variables, setting that equal to the same vector of variables and using the fact that the variables must add up to 1 as the last equation in the system. But this is time consuming and prone to errors so it would be great if I could calculate this in the TI-89 calculator.
Ex: M = [m1, m2, m3]
M*P_i1 = m1
M*P_i2 = m2
m1 + m2 + m3 = 1