I have this question and I don't understand what d) and e) are asking me and why it is a Markov Matrix.
5. Letxn+1 = Axn be a discrete dynamical system, with the initial state x0 =
0
1
andA =
1 0.5
0 0.5
.(a) Why isA a Markov matrix?
(d) Write the initial state x0 as a linear combination of the eigenvectors of A
(with the equilibrium written as in c)).(e) Write the solution xn by calculating xn = Anx0.