2. Let FEZ(11), and let wi= (1, 0, 7,3) W2 = (0, 1, 3, 4) w3 = (0, 0, 0, 1) E F* (a) (30p) Use the algorithm Sift that is given in page 71 of Soicher's Algorithmic Mathematics book to prove that vector v = (5, 2, 4, 3) is not a member of the linear span . (b) (20p)Write v = (5, 2, 4, 3) in the form v=u +ajwi + a2W2 + a3W3