In many countries, more people move into the cities than out of the cities. Suppose that in a certain country, 10% of the rural population moves to the city each year and 1% of the urban population moves out of the city each year.
a. Draw a transition diagram that displays this information.
b. Write a transition matrix that represents this same information. List urban dwellers first and rural dwellers second.
c. If 16 million of the country's 25 million people live in the city initially, what are the urban and rural populations in millions after 1 yr? After 2 yr? Write your answers as matrices in the form [urban rural].