An elementary reflection matrix has the form Q = I - 2uu², where u Rn is a

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An elementary reflection matrix has the form Q = I - 2uu€², where u ˆˆ Rn is a unit vector.
(a) Find the eigenvalues and eigenvectors for the elementary reflection matrices corresponding to the following unit vectors:

(b) What are the eigenvalues and eigenvectors of a general elementary reflection matrix?

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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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Question Posted: Jun 17, 2016 09:05 AM

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An elementary reflection matrix has the form Q = I - 2uu², where u Rn is a

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3-5 4-5 )010 0

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a i ii Eigenvalues 1 1 eigenvectors Eigenvalues 1 1 eigenvectors iii Eigenvalue 1 has eigenvector ...View the full answer

Applied Linear Algebra

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