If P is an n 1 matrix such that PT P = 1, then H =

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If P is an n × 1 matrix such that PT P = 1, then H = I - 2PPT is called the corresponding Householder matrix (named after the American mathematician A. S. Householder).
Prove that if H is any Householder matrix, then H = HT and HTH = I.

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Elementary Linear Algebra with Applications

ISBN: 978-0471669593

9th edition

Authors: Howard Anton, Chris Rorres

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Question Posted: Jun 17, 2016 07:58 AM

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If P is an n 1 matrix such that PT P = 1, then H =

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Elementary Linear Algebra with Applications

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