27 Sep
2006
27 Sep
'06
11:29 a.m.
Jim asks: << For each positive integer n > 0, what is the maximum value of N for which there exists an n-by-n posipotent stochastic matrix A such that the matrix A^N has all its entries positive but the matrices I , A , A^2 , ... , A^(N-1) do not?
The answer is n^2 - 2n + 2. --Dan