# Intersections of subspaces

1. Jan 26, 2009

### jeffreylze

1. The problem statement, all variables and given/known data

Let H and K be subspaces of a vector space V. Prove that the intersection K$$\cap$$ H is a subspace of V.

2. Relevant equations

3. The attempt at a solution

This, I have absolutely NO idea how and where to start. Are there any axioms which can be used to prove this?

2. Jan 26, 2009

### NoMoreExams

What does it mean to be a subspace of a vector space?