Find the Eigenvectors for the following matrix: 2 -20 02 0 20-2

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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Good evening,

I found the Eigenvalues to be Lamda = 0, 2, -4. I really only need help with the Eigenvector for Lamda=2. Are there two free variables? I don't know how to intrepret the system. Thanks!

Find the Eigenvectors for the following matrix:
-2 0 2
02
0
20-2
Transcribed Image Text:Find the Eigenvectors for the following matrix: -2 0 2 02 0 20-2
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