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

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