Question: For the transition matrix Q, prove that the equally likely source distribution, Pi = 1/3, i = 1, 2, 3, is the one that maximizes

For the transition matrix Q, prove that the equally likely source distribution, Pi = 1/3, i = 1, 2, 3, is the one that maximizes mutual information and hence the mutual information of the capacity associated with the channel described by Q.

0.8 0.1 0.1 Q = 10.1 0.8 0.1 0.1 0.1 0.8

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