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Linear Algebra: A Modern Introduction
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
Problem 53EQ
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Answer the following questions as soon as possible

Consider the following linear non-homogeneous recurrence relation where go = 1, g1 = 3and In+1 7gn – 10gn-1 – n'for n >1 The reduced closed form of gn can be represented as 1 In P x p" + Q x q" + Rn² + Sn +T) A where p and q are the solutions of the characteristic equation of the recurrence. Given that, p is smaller than q. Here, P, Q, R, S,T, A are all integers. What is the value of P? What is the value of Q?? What is the value of R?
Transcribed Image Text:Consider the following linear non-homogeneous recurrence relation where go = 1, g1 = 3and In+1 7gn – 10gn-1 – n'for n >1 The reduced closed form of gn can be represented as 1 In P x p" + Q x q" + Rn² + Sn +T) A where p and q are the solutions of the characteristic equation of the recurrence. Given that, p is smaller than q. Here, P, Q, R, S,T, A are all integers. What is the value of P? What is the value of Q?? What is the value of R?
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