The eigenvalues are λ₁ < λ2 < A3 < №4, where A₁ = has an eigenvector eigenvector A = -37 15 0 0 -70 28 0 0 0 0 9 -3 6 0 0 0 1₂ = has an
The eigenvalues are λ₁ < λ2 < A3 < №4, where A₁ = has an eigenvector eigenvector A = -37 15 0 0 -70 28 0 0 0 0 9 -3 6 0 0 0 1₂ = has an
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
Transcribed Image Text:The eigenvalues are A₁ < A₂ < 3 < A4, where
入1
has an eigenvector
eigenvector
=
->
←I
←I
→
▶
->
A =
||
-37 15 0 0
-70 28 0
0
0
9
-3
0
0
6
0
(
-
FI
9
1₂
||
-
has an
Transcribed Image Text:X3
X4
has an
2
eigenvector
Note: you may want to use a graphing calculator to estimate the roots of the polynomial which defines the eigenvalues.
=
ID
has an eigenvector
←
←I
I-
A
←
||
=
→
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