note that E^{ ┴}={ y in V : <x,y>=0 , for all x in E}
Dears
could you help for solving the following question:
Let V be a finite-dimensional inner product space. If A and B are subspace of V, prove that
(A ⋂ B) ^{┴} = A^{┴ }+ B^{┴}
where ┴ denotes to the orthogonal complement
Best regards