Recent content by jmb576

I'm still having trouble figuring out how to progress from here.

Yes okay so if the same constraint arises for the other quotient space they are isomorphic?

If x - y \in W then aren't the two elements in (U+W)/W equal?

The first space is given by (U+W)/W = \{ (u +w) + W\; \vert \; u \in U, \quad w \in W \} and the second by U/(U \cap W) = \{ u + U \cap W\; \vert \; u \in U \}. I still am not sure how proceed.

Homework Statement Let U be a finite dimensional vector space and suppose that U and W are nonzero subspaces of V prove that (U+W)/W is isomorphic to U/(U \cap W). Homework Equations Here the use of / denotes a quotient space. The Attempt at a Solution Not even sure where to begin.