Problem 1184

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

\begin{bmatrix}  1.0 & 0.00 &0.00 \\  1.0&0.0  & 0.0\\  0.3& 0.7 & 0.0  \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 = 1.1

P22 = 0.0

P33 = 0.0

Since P11 equals 1, state 1 is the absorbing state.

 

 

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