E-is-a-euclidian-space-and-f-from-E-to-E-verify-x-y-E-2-x-f-y-f-x-y-prove-that-f-is-linear-

Question Number 50387 by Abdo msup. last updated on 16/Dec/18

E i s a e u c l i d i a n s p a c e a n d f f r o m E t o E v e r i f y

\forall (x, y) \in E^{2} (x ∣ f (y)) = (f (x) ∣ y) p r o v e t h a t f i s l i n e a r .