1. Consider the subspace of R 4 , W = span 1 0 0 0 , 1 1 2 0 , 2 1 2 0 , 3 2 4 0 . (a) Identify the dimension of W based off of what you found in (a). Then give a geometric description of W in the form: W is a living in . (b) Find a basis for W. That is, you need a set of linearly independent vectors from 1 0 0 0 , 1 1 2 0 , 2 1 2 0 , 3 2 4 0 . The number of vectors in this set should be the same as the dimension you found for W