The matrix The eigenvalue X₁ is A = The eigenvalue X₂ is 0 0 0 has two real eigenvalues, one of multiplicity 1 and one of multiplicity 2. Find the eigenvalues and a basis for each eigenspace. 0 0 -5 10 -5 10 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 41EQ
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The matrix
The eigenvalue A₁ is
A
The eigenvalue X2 is
-
Го
0
0
has two real eigenvalues, one of multiplicity 1 and one of multiplicity 2. Find the eigenvalues and a basis for each eigenspace.
о о
-5
10
-5 10
and a basis for its associated eigenspace is
and a basis for its associated eigenspace is
1 [
Transcribed Image Text:The matrix The eigenvalue A₁ is A The eigenvalue X2 is - Го 0 0 has two real eigenvalues, one of multiplicity 1 and one of multiplicity 2. Find the eigenvalues and a basis for each eigenspace. о о -5 10 -5 10 and a basis for its associated eigenspace is and a basis for its associated eigenspace is 1 [
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