Question

How to prove that v = f x λ

Answer 1

Answer:

So far I have f(0)=af(0)=a,

let f,g∈Ff,g∈F, (f+g)(x)=a+a(f+g)(x)=a+a

let k∈Rk∈R, kf(x)=kakf(x)=ka

But I don't think that's the proper proof, what is the proper way to prove it's a subspace