Question 3 Consider the matrix Given that It is given that matrix A has 2 unique eigenvalues and one of its eigenvalues is 2 with multiplicity 1. Question 3a 0 [2 A = 10 6 -2 0 0 X 4 -1 -8 is the eigenvector of the second eigenvalue, show that = -4.
Question 3 Consider the matrix Given that It is given that matrix A has 2 unique eigenvalues and one of its eigenvalues is 2 with multiplicity 1. Question 3a 0 [2 A = 10 6 -2 0 0 X 4 -1 -8 is the eigenvector of the second eigenvalue, show that = -4.
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:Question 3
Consider the matrix
Given that
0
[2
A = 0
-2
0
x
6 -1
It is given that matrix A has 2 unique eigenvalues and one of its eigenvalues is 2 with
multiplicity 1.
Question 3a
0
4
-8
is the eigenvector of the second eigenvalue, show that = -4.
Transcribed Image Text:Question 3b
Hence, compute matrix P and J from the Jordan-decomposition of matrix A;
A = PJP-¹.
(You do not have to compute P-¹.)
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