Let W be the subspace of P2 spanned by S-|P. , p21 p3,p4 } where pi-l + 3x + 3x2 p2 -x+4x2, p, -5+6x +3x2, p,-+2x Find a subset of S which is a basis for W. Express the element(s) of S not in the basis you found in part a) as linear combinations of the basis elements. (independent from parts a) and b)) Determine whether T(x,y)-(x,2?-3) is a linear operator. a) b) c)