[0.91 0 Consider a dynamical system given by Xn+1 Xn. Which one of the following is 0 1.09 an expression for X₂ in terms of the eigenvalues and eigenvectors of the transition matrix of this dynamical system? Xn = c(0.91) Xn = C1 €₁ (0.91)" [1] + €2 (1.09)" ,where CER x₂ = c(1.09) [1] X ,where CER X₂ = C₁ (0.91)= []+€₂₁(1.09)" [1] Xn C1 - ,where C₁, C₂ ER where C₁, C₂ ER

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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Consider a dynamical system given by Xn+1 =
Xn. Which one of the following is
0 1.09
an expression for X₂ in terms of the eigenvalues and eigenvectors of the transition matrix of this
dynamical system?
c(0.91) []
Xn = C
,where CER
x₂ = C1 (0.91)" [1]
X
+ €₂ (1.09)" [
0.91 0
,where CER
,where C₁, C₂ ER
x₂ = c(1.09)" [1]
x₂ = C₁ (0.91) [] +€₂(1.09) [1] where c₁, c₂ ER
Transcribed Image Text:Consider a dynamical system given by Xn+1 = Xn. Which one of the following is 0 1.09 an expression for X₂ in terms of the eigenvalues and eigenvectors of the transition matrix of this dynamical system? c(0.91) [] Xn = C ,where CER x₂ = C1 (0.91)" [1] X + €₂ (1.09)" [ 0.91 0 ,where CER ,where C₁, C₂ ER x₂ = c(1.09)" [1] x₂ = C₁ (0.91) [] +€₂(1.09) [1] where c₁, c₂ ER
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