SOLVED: Let a be the matrix 0.8 0.1 0.2 0.9and let x be the column vector.We regard x as representing (for example) the population state of an island: The first entry (1) gives the fraction of the population in the west half of the island, the second entry (0) gives the fraction in the east half. The state of the population T units of time later is given by the rule Y = ax: This expresses the fact that an individual in the west half stays put with probability 0.8 and moves east with