A metropolitan area consisting of a city and its suburbs has a constant total population. Suppose that each year, 20% of the people in the city move to the suburbs, whereas 35% of the people in the suburbs move to the city. The transition matrix A for this situation is given. Find the resulting long-term distribution of a constant total population between the city and its suburbs. 0.8 0.35 A = 0.2 0.65 The long-term distribution of the population is city, (Simplify your answers suburban.