## How does scaling rows to sum to 1, of a positive matrix change the perron vector?

Reposting from math.sx due to lack of response. Let A be a N×N positive matrix such that Aij>0. By Perron-Frobenius theorem, there is a unique positive left eigenvector called Perron vector x corresponding to the largest eigenvalue and also it sums to 1. Call it x. Let D be a diagonal matrix such that B=DA … Read more