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

**Solution:-**

A state is an absorbing state of a Markov chain if P_{ii}=1. Thus, check the entries P_{11, }P_{22, }and P_{33 }to see if any of them are equal to 1.

P_{11} = 1.1

P_{22} = 0.0

P_{33} = 0.0

Since P_{11} equals 1, state 1 is the absorbing state.