Template:Reflection matrix
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A reflection (or a Householder) matrix is a matrix of the form [math]U=E-2ww^*[/math], where the vector [math]w[/math] is such that [math]w^{*}w=1[/math]. Such a matrix is at the same time unitary ([math]U^{*}U=E[/math]) and Hermitian ([math]U^{*}=U[/math]); consequently, this matrix is its own inverse ([math]U^{-1}=U[/math]).
