Find the characteristic equation, the eigenvalues, and bases for the eigenspaces of the following matrix. [ 2 -5 2 0 The characteristic equation is A = The eigenvalue X is A basis for the eigenspace is ? ? = 0

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CR: Review Exercises
Problem 15CR: For what values of a does the matrix A=[01a1] have the characteristics below? a A has eigenvalue of...
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Find the characteristic equation, the eigenvalues,
and bases for the eigenspaces of the following matrix.
- [ 3
=
2 5
2
]
0
The characteristic equation is
A
The eigenvalue X is
A basis for the eigenspace is
(3)
=
0
Transcribed Image Text:Find the characteristic equation, the eigenvalues, and bases for the eigenspaces of the following matrix. - [ 3 = 2 5 2 ] 0 The characteristic equation is A The eigenvalue X is A basis for the eigenspace is (3) = 0
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