The Lucas numbers satisfy the linear homogeneous recurrence relation Ln = La1 + Lr2 with initial conditions Lo = 2 and L, = 1. %3D Prove that the solution (explicit formula) to the Lucas numbers is

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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The Lucas numbers satisfy the linear homogeneous recurrence relation
Ln = La1 + Lr2 with initial conditions Lo = 2 and L, = 1.
%3D
Prove that the solution (explicit formula) to the Lucas numbers is
Transcribed Image Text:The Lucas numbers satisfy the linear homogeneous recurrence relation Ln = La1 + Lr2 with initial conditions Lo = 2 and L, = 1. %3D Prove that the solution (explicit formula) to the Lucas numbers is
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