Proof Let u be an n 1 column matrix satisfyinguTu = I1.

Chapter 2, Problem 2.3.77

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Proof Let u be an n 1 column matrix satisfyinguTu = I1. The n n matrix H = In 2uuT is called aHouseholder matrix.(a) Prove that H is symmetric and nonsingular.(b) Let u = [2/22/20 ]. Show that uTu = I1 and find the Householder matrix H.

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