Bünger, FlorianFlorianBüngerRump, Siegfried M.Siegfried M.Rump2019-11-212019-11-212016-11-15Linear Algebra and Its Applications (515): 87-95 (2017-02-15)http://hdl.handle.net/11420/3836It seems to be of recurring interest in the literature to give alternative proofs for the fact that the determinant of a symplectic matrix is one. We state four short and elementary proofs for symplectic matrices over general fields. Two of them seem to be new.en0024-3795Linear algebra and its applications20168795American Elsevier Publ.DeterminantIsometrySymplectic matrixTransvectionMathematikYet more elementary proofs that the determinant of a symplectic matrix is 1Journal Article10.1016/j.laa.2016.11.014Other