The matrix 0 A = 0 -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 A1 is and a basis for its associated eigenspace is The eigenvalue 12 is and a basis for associated eigenspace is 0 0

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
-1
A =
-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 a1 is
and a basis for its associated eigenspace is
The eigenvalue 12 is
and a basis for its associated eigenspace is
Transcribed Image Text:The matrix -1 A = -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 a1 is and a basis for its associated eigenspace is The eigenvalue 12 is and a basis for its associated eigenspace is
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