Let Z be the set of all vectors fo the form , where . Z is a subspace of .

a) Find a set that spans Z.

b) Is the set from part (a) a basis for Z? Please explain.

c) Does Z have any two dimensional subspaces? If so give an example of such a subspace. If not, please explain why not.

Attempted Answers:

For part (a) I got: .This is the column space of W. Correct?

Part (b) seems like Yes but I don't know the reason. Part (c) I have no clue.