Question 1 Given the following Linear Homogenous Recurrence, answer the questions below (after solving it on paper). f(n) = 2f(n-1) – f(n-2), where f(0)=2, f(1)=3 • What is the Characteristic equation for this (use ^ for power) : • What are roots: r1= r2= • What are the values of constants: c1= • What is the function f(n) using these values (use ^ for power) : f(n)= Finally, what is the complexity: f(n)= O( c2=

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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Question 1
Given the following Linear Homogenous Recurrence, answer the questions below (after solving it on paper).
f(n) = 2f(n-1) – f(n-2), where f(0)=2, f(1)=3
• What is the Characteristic equation for this (use ^ for power) :
• What are roots: r1=
What are the values of constants: c1=
r2=
c2=
• What is the function f(n) using these values (use ^ for power) : f(n)=
• Finally, what is the complexity: f(n)= O
Transcribed Image Text:Question 1 Given the following Linear Homogenous Recurrence, answer the questions below (after solving it on paper). f(n) = 2f(n-1) – f(n-2), where f(0)=2, f(1)=3 • What is the Characteristic equation for this (use ^ for power) : • What are roots: r1= What are the values of constants: c1= r2= c2= • What is the function f(n) using these values (use ^ for power) : f(n)= • Finally, what is the complexity: f(n)= O
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