Vk+1 Problem 1 (Dynamical system and dominant eigenvalue). Consider a linear dynamical system AVK for k≥ 0. In each following case find the dominant eigenvalue. Then using that, approximate Vk after many years. = 2. A = 1 -1 3 2 2 1 -1 -1 r. 1 2-J Vo =
Vk+1 Problem 1 (Dynamical system and dominant eigenvalue). Consider a linear dynamical system AVK for k≥ 0. In each following case find the dominant eigenvalue. Then using that, approximate Vk after many years. = 2. A = 1 -1 3 2 2 1 -1 -1 r. 1 2-J Vo =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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
2. A = -1
4
3 2
2 1
-1 -1
5-7
2-J
-6
Vo =
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