Let A be an n n stochastic matrix and let e be the vector in Rn whose entries are all
Chapter 6, Problem 25(choose chapter or problem)
Let A be an n n stochastic matrix and let e be the vector in Rn whose entries are all equal to 1. Show that e is an eigenvector of AT . Explain why a stochastic matrix must have = 1 as an eigenvalue. 2
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