Ytukyg

up vote 0 down vote favorite Let $mathbb{R}^mathbb{R} $ be a vector-space of functions $f:mathbb{R}→mathbb{R}$ . The set of functions $f:mathbb{R}→mathbb{R}$ so that $f(-1) + f(1) = 0$ are an example of subspace? I know I have to prove 0 is in the set, the sum of two vectors (functions) is in the set and the scalar product is in the set. I have 9 different groups to check whether they are sub spaces or not, but really don't know the method to proceed with the question, so I would like this as an example. Thanks! linear-algebra functions share | cite | improve this question asked Nov 22 at 20:21 Tegernako