Question

Let V={f|f: R-> R, f (0)=0, f'(0)=0}. Show that V is a vector space over the real numbers

Answer 1

I hope I'm not oversimplifying this, but is this just a matter of showing that the 8 or so axioms hold for the set?

Answer 2

Yes but am not sure how to start

Answer 3

Which particular axioms are you having trouble with?

Answer 4

How to begin

Answer 5

Please, try to check the properties of a generical vectror space