Consider the matrix A = 1 0 2 -1 3 3 2 0 1 (i) Construct the characteristic equation then solve it for the eigenvalues X. Order the eigenvalues such that |A₁|2|A₂| ≥ |A3|. (ii) Find the eigenvectors vi associated with the eigenvalues X₁.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Consider the matrix
A= =
3
2
0
-1
2
0 1
(i) Construct the characteristic equation then solve it for the eigenvalues \. Order the eigenvalues
such that |A₁| ≥ |A₂| ≥ |A3|.
(ii) Find the eigenvectors vį associated with the eigenvalues λį.
Transcribed Image Text:Consider the matrix A= = 3 2 0 -1 2 0 1 (i) Construct the characteristic equation then solve it for the eigenvalues \. Order the eigenvalues such that |A₁| ≥ |A₂| ≥ |A3|. (ii) Find the eigenvectors vį associated with the eigenvalues λį.
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