= [₂2²] A. What is the characteristic equation of A used to find the eigenvalue(s) of A? Let A The characteristic equation is (Your answer should be an equation. Use A to represent the eigenvalue. Your equation may contain the variable p.) B. Find a value for p so that A has exactly one distinct eigenvalue. (Hint: use the quadratic formula.) р D. What is the eigenvalue? λ = C. What is a corresponding eigenvector?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question

Homework 15:

Question 9

[3 1
[₂1]
A. What is the characteristic equation of A used to find the eigenvalue(s) of A?
Let A
The characteristic equation is
=
(Your answer should be an equation. Use A to represent the eigenvalue. Your equation may
contain the variable p.)
B. Find a value for p so that A has exactly one distinct eigenvalue.
(Hint: use the quadratic formula.)
р
D. What is the eigenvalue?
λ =
C. What is a corresponding eigenvector?
Transcribed Image Text:[3 1 [₂1] A. What is the characteristic equation of A used to find the eigenvalue(s) of A? Let A The characteristic equation is = (Your answer should be an equation. Use A to represent the eigenvalue. Your equation may contain the variable p.) B. Find a value for p so that A has exactly one distinct eigenvalue. (Hint: use the quadratic formula.) р D. What is the eigenvalue? λ = C. What is a corresponding eigenvector?
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