The matrix The eigenvalue ₁ is A = The eigenvalue 1₂ is 00 03 has two real eigenvalues, one of multiplicity 1 and one of multiplicity 2. Find the eigenvalues and a basis for each eigenspace. -6 0 3 -6 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
0 0
A =
0 3
-6
0 3
-6
has two real eigenvalues, one of multiplicity 1 and one of multiplicity 2. Find the eigenvalues and a
basis for each eigenspace.
The eigenvalue 11 is
and a basis for its associated eigenspace is
{
The eigenvalue 2 is
and a basis for its associated eigenspace is
Transcribed Image Text:The matrix 0 0 A = 0 3 -6 0 3 -6 has two real eigenvalues, one of multiplicity 1 and one of multiplicity 2. Find the eigenvalues and a basis for each eigenspace. The eigenvalue 11 is and a basis for its associated eigenspace is { The eigenvalue 2 is and a basis for its associated eigenspace is
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