Advaced Linear Algebra Let w = [w? W? W3 Un such that w+w + +w/2 = 1. ... Define the matrix H = In - 2ww which is called a Householder matrix. A. Show that HT = H (6 points) B. Show that H- = HT (7 points)

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Advaced Linear Algebra  Let w = [w? W? W3 Un such that w+w + +w/2 = 1. ... Define the matrix H = In - 2ww which is called a Householder matrix. A. Show that HT = H (6 points) B. Show that H- = HT (7 points)

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