Problem 1 (Dynamical system and dominant eigenvalue). Consider a linear dynamical system Vk+1 AVk for k≥ 0. In each following case find the dominant eigenvalue. Then using that, approximate Vk after many years. 1 1. A = 2. A = 1 -1 4 Vo = 3 2 2 1 -1 H Vo =
Problem 1 (Dynamical system and dominant eigenvalue). Consider a linear dynamical system Vk+1 AVk for k≥ 0. In each following case find the dominant eigenvalue. Then using that, approximate Vk after many years. 1 1. A = 2. A = 1 -1 4 Vo = 3 2 2 1 -1 H Vo =
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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Transcribed Image Text:Problem 1 (Dynamical system and dominant eigenvalue). Consider a linear dynamical system
Vk+1 = AVk for k≥ 0. In each following case find the dominant eigenvalue. Then using that,
approximate Vk after many years.
1. A =
2. A =
1
29
1
1
4
Vo
3
2
2
1
-1 -1
=
H
Vo =
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