6. Consider the matrix 0 -[1] a A = (a) For what value(s) of a does A have an eigenvalue of multiplicity 2? What is the value of the eigenvalue in this case? (b) For what value(s) of a does A have -1 and 2 as eigenvalues? (c) For what value(s) of a does A have a complex eigenvalues?
6. Consider the matrix 0 -[1] a A = (a) For what value(s) of a does A have an eigenvalue of multiplicity 2? What is the value of the eigenvalue in this case? (b) For what value(s) of a does A have -1 and 2 as eigenvalues? (c) For what value(s) of a does A have a complex eigenvalues?
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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![6. Consider the matrix
A
0
[21]
a
(a) For what value(s) of a does A have an eigenvalue of multiplicity 2? What is the value of
the eigenvalue in this case?
(b) For what value(s) of a does A have -1 and 2 as eigenvalues?
(c) For what value(s) of a does A have a complex eigenvalues?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9387df67-a3a8-44ba-8fba-740786ca7748%2Fe4a00b05-b260-4555-a96e-2eaf2058d2e3%2Fdzdrgzs_processed.png&w=3840&q=75)
Transcribed Image Text:6. Consider the matrix
A
0
[21]
a
(a) For what value(s) of a does A have an eigenvalue of multiplicity 2? What is the value of
the eigenvalue in this case?
(b) For what value(s) of a does A have -1 and 2 as eigenvalues?
(c) For what value(s) of a does A have a complex eigenvalues?
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