Let A be a nonnegative irreducible 3 × 3 matrix whose eigenvalues satisfy λ1 = 2 = |λ2| = |λ3|. Determine λ2 and λ3.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.3: Eigenvalues And Eigenvectors Of N X N Matrices
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Let A be a nonnegative irreducible 3 × 3 matrix
whose eigenvalues satisfy λ1 = 2 = |λ2| = |λ3|.
Determine λ2 and λ3.

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