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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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
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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