Question

For the transition matrix P = 0.1 0.9 0.6 0.4 solve the equation SP = S to find the stationary matrix S and the limiting matrix SO (Type an integer or decimal for each matrix element. Round to the nearest thousandth as needed) (Type an integer or decimal for each matrix element Round to the nearest thousandth as needed.)

Answer 1

0.1 Po [O .:] 0.6 Leto The stationary matrix, so 0.9 Pz 0.4 salution:- Here, the transition 0.9 pa matrix is given by, 0.6 0.4 s, s2] where 3,+s2-1 +0 spas gives 0.1 Then the equation, [s. sr] 0.9 0.4 .] [s. S2 0.6 [e: (0.151 S, +0.652) (0.95, +0.452) ->F-[s, se] 0.15, +0.652 -8, 0.951 +0.452 = 5₂ from 0.632 2 5,-0.15, => 0.652 522 => 0.95, 3 ongs, 016 2 3S, ,:52 351 Now, from D, sit 3 1 1 2 2 -> 521 2 si alo =) ..s,= 0.4 Then from 0, S221-0.4 .: S2 = 0.6

so, The stationary matrix is given by $= [504 504] رد we know that the limiting matrix 8 = برلي 21 so, The limiting matrix is given by, ہا .ہ 0.6 1 0.4 0.6