Thread: subspace proof

Hi there,

Be M a set and K a field. Now I shall prove that

V(A) = {f el map(M,K) | f(x)=0, if x isn't el A)

really is a vector subspace of map(M,K) for subset .

I got more tasks similar to that one and I'ld gladly see how I have to use the terms for subspace-proofs, 'cause I haven't any idea.

Many thanks,
Marc

i don't understand your notations,but to prove that a set is vector subspace,you should prove that is,
Closed under addition.
Closed under scalar multiplication (and therefore it contains the zero vector).

What isn't clear regarding my notations? But I try it again:

V(A) = {f map(M,K) | f(x)=0 if x A)

Better?

I already noticed the terms, but I have no idea what values exactly I should insert to prove them. And how the result will look like.

Thanks so far!