1. The problem statement, all variables and given/known data Denote by W the set of all vectors that are of the form x = (a, b 2a, 3b,-a), in which a and b are arbitrary real numbers. Show that W is a linear subspace of R^5. Also find a set of spanning vectors for W. What kind of geometric object is W? 2. Relevant equations none 3. The attempt at a solution So I found that W is a linear subspace of R^5 since it meets the three criteria. For the set of spanning vectors, I know that by definition that these are the set of all linear combination of these vectors which satisfy the form x. However, I don't really know how to denote these vectors.