A New Point of View for Householder Orthogonal Matrix by Using Exponential Matrix
نویسندگان
چکیده
There are many different methods to obtain an orthogonal matrix. Householder discovered an orthogonal matrix, and it can be applied to solve physical problems of reflection. In this classroom note, we can obtain an orthogonal matrix group eAt, where A is antisymmetric with angular vector ω. When t is setting to be t=π/|ω|, eAt is equivalent to a Householder matrix of a reflecting plane with normal vector ω.
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