Consider a Markov chain on a finite state space S. Suppose that the transition probability matrix P is such that the transpose of P is also a stochastic matrix. Then which of the following is necessarily true?

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Mathematics · Markov Chains

Verified Solution4 OptionsUpdated: October 2026👁️1 View

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All states are recurrent.

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Recommended practice questions in Mathematics · Markov Chains

Which of the following territories was annexed by Lord Dalhousie under the pretext of misgovernance, and not directly through the Doctrine of Lapse?

What was the primary stated reason for the Partition of Bengal in 1905 by Lord Curzon?

Answer 1

All states have the same period.

Answer 2

The chain admits at most one stationary distribution.

Answer 3

All states are recurrent.

Answer 4

At least one state has period 1.

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