Every symmetric matrix with unit determinant is orthogonal.
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Expert's answer
2014-03-18T11:10:44-0400
Matrix Q is orthogonal if its transpose is equal to its inverse: Q*=Q^(-1)If matrix A is symmetric then A*=A and det(A)=det(A*)=1,det(AA*)=detA*detD=1. But concussion about orthogonality of A isn't follow from this statement.
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