# How to show U and W direct sum of V?

1. Feb 16, 2009

Let V = R^3. Let W be the space generated by w = (1, 0, 0), and let U be the subspace generated by u_1 = (1, 1, 0) and u_2 = (0, 1, 1). Show that V is the direct sum of W and U.

Last edited: Feb 16, 2009
2. Feb 16, 2009

### Dick

Try and follow the forum guidelines, ok? Show an attempt or state what's confusing you. Don't just post the question. You want to show each vector in V=R^3 can be expressed as the sum of a vector in U and a vector in W in a unique way. Try it.

Last edited: Feb 16, 2009
3. Feb 17, 2009