0 1/3 1/3 00 1/3 Numerically verify that each initial state vector xo has the given steady-state vector x. 0.575 0.425 1 Let A 0 1 0.42 Xo = 0.27 ⇒ 0.31 0.49 x₁ = 0.13 0.38 Axo = A¹x0 = A³x0 = 0 0.68 0.32 0 Ax₁ = A4x₁ = A³x₁ =
0 1/3 1/3 00 1/3 Numerically verify that each initial state vector xo has the given steady-state vector x. 0.575 0.425 1 Let A 0 1 0.42 Xo = 0.27 ⇒ 0.31 0.49 x₁ = 0.13 0.38 Axo = A¹x0 = A³x0 = 0 0.68 0.32 0 Ax₁ = A4x₁ = A³x₁ =
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:1
0 1/3
0 1 1/3
0 0
1/3
Numerically verify that each initial state vector xo has the given steady-state vector x.
0.42
0.575
xo= 0.27
0.425
0.31
0
0.49
0.68
0.13 0.32
0.38
0
Let A =
X1 ⇒>
x₁ =
Axo =
Axo =
Axo =
E
Ax₁ =
A¹x₁ =
A³x₁ =
=
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