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1. Identify all absorbing states in the Markov chains having the following matrix. Decide whether the Markov chain is absorbing. 1 2 3 1

1. Identify all absorbing states in the Markov chains having the following matrix. Decide whether the Markov chain is absorbing. 1 2 3 1 1 a) 2 0.3 0.5 0.2 3 1. 1 4 l0.6 0 0.4 01 1 a) 2 0.9 3. 0.1 0 0 0 4. 2. Find the first three powers of each of the transition matrix. For each transition matrix, find the probability that state 1 changes to state 2 after three repetition of the experiment. a) C = 0.5 0.5 L0.72 0.28] [0.8 0.1 0.1] b) E = 0.3 0.6 0.1 1

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