The matrix го -5 -10 A = 0 5 10 0 -5 -10 has two real eigenvalues, one of geometric multiplicity 1 and one of geometric multiplicity 2. Find the eigenvalues and a basis for each eigenspace. The eigenvalue \₁ is and a basis for its associated eigenspace is The eigenvalue X2 is and a basis for its associated eigenspace is { Note: You can earn partial credit on this problem.

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
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The matrix
го
-5 -10
A =
0
5 10
0
-5 -10
has two real eigenvalues, one of geometric multiplicity 1 and one of geometric multiplicity 2. Find the eigenvalues and a basis for
each eigenspace.
The eigenvalue \₁ is
and a basis for its associated eigenspace is
The eigenvalue X2 is
and a basis for its associated eigenspace is
{
Note: You can earn partial credit on this problem.
Transcribed Image Text:The matrix го -5 -10 A = 0 5 10 0 -5 -10 has two real eigenvalues, one of geometric multiplicity 1 and one of geometric multiplicity 2. Find the eigenvalues and a basis for each eigenspace. The eigenvalue \₁ is and a basis for its associated eigenspace is The eigenvalue X2 is and a basis for its associated eigenspace is { Note: You can earn partial credit on this problem.
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