Erica wants to gure out ifthe set S 2 {W11 v2, V3} is linearly independent. Naturally she writes the three vectors as the columns ofa matrix A , and then row reduces A to get U. 1 2 1 i] If U : 0 4 _1 , then Erica deduces that S is a linearly dependent - set. This is because she sees t] 0 0 that the equation has a nonzero - solution, for example [on 3,1] : |:] @ D. 1 2 1 i) If U = 0 4 , then Erica deduces that S is a linearly dependent set. This is because she sees 0 0 that the equation av1 + Bv2+ 93 =0 has a non-zero solution, for example [o, B, y] = [-1/2, 1/4, 1] X