1) Well I understand the definition of a subspace, i think I am just finding it difficult to fully understand the proof. Would it be correct to say then that:
WW is a subspace of Rn because
i) It contains the zero vector
ii) WW= {v1', v2',...vt'}
Let x, y span (WW)
x=av1' + av2' +...
Ok so I've been working on this problem and I'm really having some struggles grasping it. Here it is:
Let W be some subspace of Rn, let WW consist of those vectors in Rn that are orthognoal to all vectors in W.
1) Show that WW is a subspace of Rn?
So for this part I'm thinking that...