Question: Let W be an n 1 matrix such that WT W = 1. The n n matrix H = In - 2WWT is

Let W be an n × 1 matrix such that WT W = 1. The n × n matrix
H = In - 2WWT
is called a Householder* matrix.
(a) Show that H is symmetric.
(b) Show that H-1 = HT.

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