Let W be an n 1 matrix such that WT W = 1. The n
Question:
H = In - 2WWT
is called a Householder* matrix.
(a) Show that H is symmetric.
(b) Show that H-1 = HT.
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Related Book For 
Elementary Linear Algebra with Applications
ISBN: 978-0132296540
9th edition
Authors: Bernard Kolman, David Hill
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