Consider the matrix h i -hht where h is a column vector in
Question: Consider the matrix H = I -hhT, where h is a column vector in M.n and I is the properly sized identity matrix. Prove that H is orthogonal, provided that h T h = 1. This matrix is known as the Householder matrix.
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question consider the matrix h i -hht where h is a column vector in mn and i is the properly sized identity matrix
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