Buser, Peter2010-12-032010-12-032010-12-03198210.2307/2975837https://infoscience.epfl.ch/handle/20.500.14299/61820This note gives a short, geometrically based, proof that a real orthogonal matrix has a normal form consisting of a direct sum of 1$times 1$ and 2$times 2$ blocks.A geometric approach to invariant subspaces of orthogonal matricestext::journal::journal article::research article