Does set S span a new vector and is set S a basis or not? S

Last updated: 7/16/2022

Does set S span a new vector and is set S a basis or not? S = {(2,-1, 3), (5, 0,4)} (a) u = (1, 1, -1) (c) w = (1, -8, 12) (b) v = (8,-1,27) (d) z = (-1, -2, 2)