...or prove that none exists.
The matrix
0 1
1 0
is the obvious example when M can have size 2.
Note that M can't be primitive so there is at least one entry equal to zero in every power M^k (Perron-Frobenius).
Thank you.
Example of a square stochastic matrix M (with non-negative entries) of odd size with an eigenvalue other than 1 on the unit circle
tarski
- 21
- 3