Question 16 6 -65 11 A₁ = 1.9, A2 = 0.9, A3 = 0.4, Vv₁ = 1-0 -6, V₂ = V3 , and xo = -11 Consider the difference equation Xk+1 = Axt, where A has the given eigenvalues and corresponding eigenvectors. Find the genera solution of this difference equation with the given xo. A. Use Cramer's Rule to express xo as a linear combination of the eigenvectors. B. What is the solution when k is sufficiently large?
Question 16 6 -65 11 A₁ = 1.9, A2 = 0.9, A3 = 0.4, Vv₁ = 1-0 -6, V₂ = V3 , and xo = -11 Consider the difference equation Xk+1 = Axt, where A has the given eigenvalues and corresponding eigenvectors. Find the genera solution of this difference equation with the given xo. A. Use Cramer's Rule to express xo as a linear combination of the eigenvectors. B. What is the solution when k is sufficiently large?
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.3: The Gram-schmidt Process And The Qr Factorization
Problem 2BEXP
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