The matrix The eigenvalue X₁ is eigenspace is has two real eigenvalues, one of multiplicity 1 and one of multiplicity 2. Find the eigenvalues and a basis for each eigenspace. The eigenvalue X2 is 4 8 480 4 8 -4 -8 eigenspace is A - and a basis for its associated and a basis for its associated

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 X₁ is
eigenspace is
has two real eigenvalues, one of multiplicity 1 and one of multiplicity 2.
Find the eigenvalues and a basis for each eigenspace.
The eigenvalue X₂ is
4 8
480
4 8
-4 -8
eigenspace is
A
-
and a basis for its associated
and a basis for its associated
Transcribed Image Text:The matrix The eigenvalue X₁ is eigenspace is has two real eigenvalues, one of multiplicity 1 and one of multiplicity 2. Find the eigenvalues and a basis for each eigenspace. The eigenvalue X₂ is 4 8 480 4 8 -4 -8 eigenspace is A - and a basis for its associated and a basis for its associated
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