1. Find a basis for the subspace of defined as V =
2. Given the following subset, B, of , show that B is a basis for or show that B is not a basis: , where , , .
3. Given that , show that V is a subspace of
Here's what I think:
1. (x , x , x ) (not sure if the x's belong)
2. (I just learned basis so I'm not really sure if I can do that or not but since the basis for is I just used the given equations to show that that's arrivable with what's given)
3. Could I just use the 0 matrix? It IS a subspace, right?