QUESTION 2 Consider the following: ak = 2 ak-1+3ak-2 ao = 1,a1=2 Suppose a sequence of the form 1, x, x2, x3.....x". ... where X + O satisfies the given recurrence relation. Find all possible values of X. In other words solve the characteristic polynomial for X . Enter your answers in a comma separated list: Using the initial conditions and the values of X above, you can write the general solution as an= ar" + br, where r and r, are the answers to the first part of this question. What are the values of a and b?

QUESTION 2 Consider the following: ak = 2 ak-1+3ak-2 ao = 1,a1=2 Suppose a sequence of the form 1, x, x2, x3.....x". ... where X + O satisfies the given recurrence relation. Find all possible values of X. In other words solve the characteristic polynomial for X . Enter your answers in a comma separated list: Using the initial conditions and the values of X above, you can write the general solution as an= ar" + br, where r and r, are the answers to the first part of this question. What are the values of a and b?

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 56EQ

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