(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let V be a vector space over a field F and let X, Y and Z be a subspaces of V such that X[tex]\subseteq[/tex]Y. Show that Y[tex]\cap[/tex](X+Z) = X + (Y[tex]\cap[/tex]Z). (Hint. Show that every element of the LHS is contained on the RHS and vice versa.)

2. Relevant equations

3. The attempt at a solution

Can anyone get me started on this one?

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# Vector spaces, subspaces, subsets, intersections

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