Question

Applications 1. The populations of U.S. metropolitan and nonmetropolitan areas in 2015 are described by the following vector x, (in units of one million), and the populations in the follow- ing years are given by a Markov chain with the transition matrix P. (See Exercise 6, Section 8 of the "Matrices and Linear Transformations” chapter.) Determine the long-term predictions for metro and nonmetro populations, assuming no change in their total population. 3. Initial populations [261 metro 48 nonmetro x = (from) metro nonmetro (to) [0.99 0.02 metro 0.01 0.98 nonmetro P =

Answer 1