nt) The matrix -5 10 -5 10 0 -5 10 has two real eigenvalues, one of multiplicity 1 and one of multiplicity 2. Find the eigenvalues and a basis for each eigenspace. The eigenvalue ₁ is The eigenvalue λ₂ is 0 A = 0 and a basis for its associated eigenspace 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 24EQ
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ht) The matrix
-5 10
-5 10
0 -5 10
has two real eigenvalues, one of multiplicity 1 and one of multiplicity 2. Find the eigenvalues and a basis for each eigenspace.
The eigenvalue ₁ is
The eigenvalue 2₂ is
0
A = 0
and a basis for its associated eigenspace is
and a basis for its associated eigenspace is
Transcribed Image Text:ht) The matrix -5 10 -5 10 0 -5 10 has two real eigenvalues, one of multiplicity 1 and one of multiplicity 2. Find the eigenvalues and a basis for each eigenspace. The eigenvalue ₁ is The eigenvalue 2₂ is 0 A = 0 and a basis for its associated eigenspace is and a basis for its associated eigenspace is
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