Okay, so for the problem before this, I proved that L(S ∩ T ) ⊂ L(S ) ∩ L(T ).(adsbygoogle = window.adsbygoogle || []).push({});

For this problem, I have to give an example where L(S ∩ T ) ̸= L(S ) ∩ L(T ).

So I'm thinking that there are going to be elements in L(S) intersect L(T) that are not in the span of S intersect T. In what sort of case would this happen? I'm not sure what direction to go in.

Thanks!

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Intersections and Linear Spans

**Physics Forums | Science Articles, Homework Help, Discussion**