Problem 1185

Find the absorbing state(s) for the transition matrix shown.

\begin{bmatrix}  0.0 & 0.00 &1.00 \\  0.0&1.0  & 0.0\\  0.0& 0.0 & 1.0  \end{bmatrix}

 

Solution:-

 

A state is an absorbing state of a Markov chain if Pii=1. Thus, check the entries P11,  P22, and P33 to see if any of them are equal to 1.

P11 = 0.0

P22 = 1.0

P33 = 1.0

Since P22 and P33 equals 1, state 2 and 3 are absorbing state.

 

 

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