eigenvectors v1, V2 for 16

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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= 3 with multiplicities
The following matrix A E M3(R) has eigenvalues A1
m1 = 2, m2
-1, A2
3
A =
-1
1
-4
-1
Find a cycle of generalised eigenvectors v1, V2 for A2
= -1.
Hence, give a basis 3 for R' and a matrix [LA such that [LA% is in
Jordan normal form.
Transcribed Image Text:= 3 with multiplicities The following matrix A E M3(R) has eigenvalues A1 m1 = 2, m2 -1, A2 3 A = -1 1 -4 -1 Find a cycle of generalised eigenvectors v1, V2 for A2 = -1. Hence, give a basis 3 for R' and a matrix [LA such that [LA% is in Jordan normal form.
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