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edited Apr 12, 2016 at 3:53

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Find a square, stochastic matrix (w/ non-neg entries) of odd size, not a permutation matrix, with an eigenvalue other than 1 on the unit circle

...or prove that none exists.

Note that such a matrix M couldn't be primitive, so there would be at least one entry equal to zero in every power M^k (Perron-Frobenius theory).

Thank you.

linear-algebra matrices stochastic-processes eigenvalues matrix-theory

asked Apr 12, 2016 at 0:41

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