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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?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question 16 1 -65 11 A₁ = 1.9, A₂ = 0.9, A3 = 0.4, v₁ = ,V₂ = , V3 = 5 , and xo L-11 2 Ax, where A has the given eigenvalues and corresponding eigenvectors. Find the general Consider the difference equation XX+1 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?
Transcribed Image Text:Question 16 1 -65 11 A₁ = 1.9, A₂ = 0.9, A3 = 0.4, v₁ = ,V₂ = , V3 = 5 , and xo L-11 2 Ax, where A has the given eigenvalues and corresponding eigenvectors. Find the general Consider the difference equation XX+1 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?
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