Let A be a nonnegative, irreducible matrix such that is invertible and Let and v1 be the

Chapter 4, Problem 4.6.42

(choose chapter or problem)

Let A be a nonnegative, irreducible matrix such that is invertible and Let and v1 be the Perron root and Perron eigenvector of A. (a) Prove that . [Hint: Apply Exercise 22 in Section 4.3 and Theorem 4.18(b).] (b) Deduce from (a) that .

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