a) Confirm by multiplication that x is an eigenvector of A, and find the eigenvalue, A 1 = [²₁ 6 3¹]; x = [1] b) Determine the following set of vectors is orthonormal. If a set is only orthogonal, normalize the vectors to produce an orthonormal set,

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.1: Introduction To Eigenvalues And Eigenvectors
Problem 7EQ: In Exercises 7-12, show that is an eigenvector of A and find one eigenvector corresponding to this...
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a) Confirm by multiplication that x is an eigenvector of A, and find the eigenvalue,
[5
A =
:X =
b) Determine the following set of vectors is orthonormal. If a set is only orthogonal, normalize
the vectors to produce an orthonormal set,
Transcribed Image Text:a) Confirm by multiplication that x is an eigenvector of A, and find the eigenvalue, [5 A = :X = b) Determine the following set of vectors is orthonormal. If a set is only orthogonal, normalize the vectors to produce an orthonormal set,
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