Originally Posted by

**matt.qmar** Hello!

I have two questions that are giving me some trouble,

1) I am trying to find a basis for a subspace W = {(s+4t, t, s, 2s-t)} for reals s, t.

Then the dimension will be the number of vectors in the basis. It appears to me there should be two vectors in the basis?

2) Similarily, and perhaps easier, is finding a basis (& dimension) for W = {(5t, t, -t}}.

(5t, t, -t)= t(5, 1, -1).

Also, (seemingly unrelated?) is describing the geometric representation of W. Isn't it a plane?

1) Would a basis be {(1,0,1,2),(4,1,0,-1)} because of the parameters? (and thus dimension 2)