Let V = R and let W be a the subspace of all (a, 0, b, 2a + b, -3b). Find a basis for W.

Let V = R³ and let W be a the subspace of all (a, 0, b, 2a + b, -3b). Find a basis for W. Select the correct answer form the options below. W does not have a basis.S = {(1,0,0,0,0), (0, 1, 0, 0, 0), (0, 0, 1, 0, 0), (0, 0, 0, 0, 1, 0), (0, 0, 0, 0, 1)}S = {(0,0,1,1,-3), (1,0, 2, 0, -3))S={(1,0,0,2,0), (0, 0, 1, 1, -3)}