0 0 0 A =3 3 0 3 3 0 has two real eigenvalues, one of algebraic multiplicity 1 and one of algebraic multiplicity 2. Find the eigenvalues and a basis for each eigenspace. The eigenvalue 1, of algebraic multiplicity 1 is and a basis for its associated eigenspace is The eigenvalue 12 of algebraic multiplicity 2 is and a basis for its associated eigenspace is

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.3: Eigenvalues And Eigenvectors Of N X N Matrices
Problem 41EQ
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0 0 0
A =3 3 0
3 3 0
has two real eigenvalues, one of algebraic multiplicity 1 and one of algebraic multiplicity 2. Find the eigenvalues and a basis for each eigenspace.
The eigenvalue 1, of algebraic multiplicity 1 is
and a basis for its associated eigenspace is
The eigenvalue 12 of algebraic multiplicity 2 is
and a basis for its associated eigenspace is
Transcribed Image Text:0 0 0 A =3 3 0 3 3 0 has two real eigenvalues, one of algebraic multiplicity 1 and one of algebraic multiplicity 2. Find the eigenvalues and a basis for each eigenspace. The eigenvalue 1, of algebraic multiplicity 1 is and a basis for its associated eigenspace is The eigenvalue 12 of algebraic multiplicity 2 is and a basis for its associated eigenspace is
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