The matrix The eigenvalue ₁ is A = The eigenvalue λ2 is 0 has two real eigenvalues, one of multiplicity 1 and one of multiplicity 2. Find the eigenvalues and a basis for each eigenspace. 2 and a basis for its associated eigenspace is and a basis for its associated eigenspace is

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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The matrix
The eigenvalue 1 is
0
A = 1
1
0
1 -1
has two real eigenvalues, one of multiplicity 1 and one of multiplicity 2. Find the eigenvalues and a basis for each eigenspace.
The eigenvalue λ2 is
-1
1
2
and a basis for its associated eigenspace is
{
and a basis for its associated eigenspace is
Transcribed Image Text:The matrix The eigenvalue 1 is 0 A = 1 1 0 1 -1 has two real eigenvalues, one of multiplicity 1 and one of multiplicity 2. Find the eigenvalues and a basis for each eigenspace. The eigenvalue λ2 is -1 1 2 and a basis for its associated eigenspace is { and a basis for its associated eigenspace is
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