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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Engineering Mathematics: Consider the matrix h i -hht where h is a column vector in
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