b) Consider matrix A = ( 0 2 -4 1 i) Find the eigenvalues of A. ii) Is A a singular matrix? Give reason. iii) Is 2 ) an eigenvector of A? 2

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter7: Distance And Approximation
Section7.4: The Singular Value Decomposition
Problem 26EQ
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1
1
b) Consider matrix A = ( 0 2 -4
i)
Find the eigenvalues of A.
ii) Is A a singular matrix? Give reason.
iii) Is 2
an eigenvector of A?
2
iv) Determine the eigenvectors that correspond to the largest eigenvalue. State
the basis of the eigenspace.
Transcribed Image Text:1 1 b) Consider matrix A = ( 0 2 -4 i) Find the eigenvalues of A. ii) Is A a singular matrix? Give reason. iii) Is 2 an eigenvector of A? 2 iv) Determine the eigenvectors that correspond to the largest eigenvalue. State the basis of the eigenspace.
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