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
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Linear algebra 5
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: { }
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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