  We provide the first example of a sign pattern $S$ for which there exist
orthogonal matrices $Q_1$ and $Q_2$ with sign pattern $S$ such that $\det
Q_1=1$ and $\det Q_2=-1$. The existence of such matrices is raised by C. Waters
in {"Sign Pattern Matrices That Allow Orthogonality"}, Linear Algebra and Its
Applications, 235:1-13 (1996).
