Markov's chain

Question

P=[0.3    0.7

     1       0]

(Note: Express your answers as decimal fractions rounded to 4 decimal places (if they have more than 4 decimal places).)

(1) Find the two-step transition matrix

P(2) =


(2) p12(2)=


(3) p21(2)=


(4) Find the three-step transition matrix

P(3) = 


(5) Find the four-step transition matrix

P(4)=

Answer 1

P(2) is gotten by matrix multiplication    PxP

 

P(3) = PxPxP

 

 and so on.

 

I'm not sure what your notation kn 2 and 3 mean.