A = The eigenvalue X₁ is eigenspace is eigenspace is 0 The eigenvalue X₂ is - has two real eigenvalues, one of multiplicity 1 and one of multiplicity 2. Find the eigenvalues and a basis for each eigenspace. -6 -3 3 -12 -6 " 6 3 -3 6 and a basis for its associated and a basis for its associated 00
A = The eigenvalue X₁ is eigenspace is eigenspace is 0 The eigenvalue X₂ is - has two real eigenvalues, one of multiplicity 1 and one of multiplicity 2. Find the eigenvalues and a basis for each eigenspace. -6 -3 3 -12 -6 " 6 3 -3 6 and a basis for its associated and a basis for its associated 00
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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Question
![eigenspace is
A =
The eigenvalue X₂ is
eigenspace is
-
-6
-3
has two real eigenvalues, one of multiplicity 1 and one of multiplicity
2. Find the eigenvalues and a basis for each eigenspace.
The eigenvalue X₁ is
3
6
-12
3
-6
-3 6
"
and a basis for its associated
and a basis for its associated
00](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F08f364a7-58c9-40cd-a04d-83636aa816ab%2F6490f5b1-5dcf-4ff0-afcb-8187c5a00162%2F3ixxrl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:eigenspace is
A =
The eigenvalue X₂ is
eigenspace is
-
-6
-3
has two real eigenvalues, one of multiplicity 1 and one of multiplicity
2. Find the eigenvalues and a basis for each eigenspace.
The eigenvalue X₁ is
3
6
-12
3
-6
-3 6
"
and a basis for its associated
and a basis for its associated
00
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