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,

Elementary Linear Algebra (MindTap Course List)
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ISBN:9781305658004
Author:Ron Larson
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Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 16CM
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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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