%0 Journal Article %T Rational Orthogonal versus Real Orthogonal %A Dragomir Z. Djokovic %A Simone Severini %A Ferenc Szollosi %J Mathematics %D 2009 %I arXiv %X The main question we raise here is the following one: given a real orthogonal n by n matrix X, is it true that there exists a rational orthogonal matrix Y having the same zero-pattern? We conjecture that this is the case and prove it for n<=5. We also consider the related problem for symmetric orthogonal matrices. %U http://arxiv.org/abs/0903.2853v1