The matrix The eigenvalue -3 has associated eigenvector [ A = The eigenvalue 2 has associated eigenvector 7 -10 5 has A = -3 as an eigenvalue with multiplicity 2 and λ = 2 as an eigenvalue with multiplicity 1. Give one associated eigenvector for each of the eigenvalues. [ 0 -3 10 0 -8

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 matrix
has A
=
The eigenvalue −3 has associated eigenvector
The eigenvalue 2 has associated eigenvector
A
1
=
−3 as an eigenvalue with multiplicity 2 and A
=
2 as an eigenvalue with multiplicity 1. Give one associated eigenvector for each of the eigenvalues.
7
-10
5
0 -10
-3 10
0
-8
Transcribed Image Text:The matrix has A = The eigenvalue −3 has associated eigenvector The eigenvalue 2 has associated eigenvector A 1 = −3 as an eigenvalue with multiplicity 2 and A = 2 as an eigenvalue with multiplicity 1. Give one associated eigenvector for each of the eigenvalues. 7 -10 5 0 -10 -3 10 0 -8
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