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I guess this is a basic question.

Let´s say that If I am given a matrixXit is possible to form a symmetric matrix by computing [itex]X+X^{T} [/itex].

But how can I form a matrix which is bothsymmetricandorthogonal? That is:

[tex]M=M^{T}=M^{-1}[/tex].

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# Orthogonal and symmetric matrices

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