The smaller eigenvalue ₁ is 0 A = The larger eigenvalue ₂ is 1 6 -1 777 4400 1 has two distinct real eigenvalues ₁ <^₂. Find the eigenvalues and a basis for each eigenspace. 0 and a basis for its associated eigenspace is 0 0 0 -1 1 and a basis for its associated eigenspace is -5 1 0 -5 -5 1 er ir úr ér 0 1 -5

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 24EQ
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The smaller eigenvalue ₁ is 0
A =
The larger eigenvalue is 1
6
-1
777
4400
1
has two distinct real eigenvalues ₁ < ₂. Find the eigenvalues and a basis for each eigenspace.
0
and a basis for its associated eigenspace is
0 0 0
-1
1
and a basis for its associated eigenspace is
-5
1
0
-5 -5
1
er ár ér ér
0
1
-5
Transcribed Image Text:The smaller eigenvalue ₁ is 0 A = The larger eigenvalue is 1 6 -1 777 4400 1 has two distinct real eigenvalues ₁ < ₂. Find the eigenvalues and a basis for each eigenspace. 0 and a basis for its associated eigenspace is 0 0 0 -1 1 and a basis for its associated eigenspace is -5 1 0 -5 -5 1 er ár ér ér 0 1 -5
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