Let A = -18 -8] 40 18 (a) Find the characteristic polynomial of A p(x) = (b) Find the eigenvalues of A and bases for the associated eigenspaces: Smallest eigenvalue Basis for the associated eigenspace: { } Largest eigenvalue Basis for the associated eigenspace: { }
Let A = -18 -8] 40 18 (a) Find the characteristic polynomial of A p(x) = (b) Find the eigenvalues of A and bases for the associated eigenspaces: Smallest eigenvalue Basis for the associated eigenspace: { } Largest eigenvalue Basis for the associated eigenspace: { }
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![Let A =
[-18-8]
40
18]
(a) Find the characteristic polynomial of A
p(x) =
(b) Find the eigenvalues of A and bases for the associated eigenspaces:
Smallest eigenvalue
Basis for the associated eigenspace: {
Largest eigenvalue
Basis for the associated eigenspace: { }](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff29743aa-20ba-4376-81ba-ec57f5b19078%2F7a0c6349-47c7-4323-820c-c1ff54a61654%2Fzifgahu_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let A =
[-18-8]
40
18]
(a) Find the characteristic polynomial of A
p(x) =
(b) Find the eigenvalues of A and bases for the associated eigenspaces:
Smallest eigenvalue
Basis for the associated eigenspace: {
Largest eigenvalue
Basis for the associated eigenspace: { }
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