In: Advanced Math
1. Determine each of the following set of vectors is linearly independent or dependent.
(a) S1 = {(1, 2, 3),(4, 5, 6),(6, 9, 12)}.
(b) S2 = {(1, 2, 3, 4),(5, 6, 7, 8),(3, 2, 1, 0)}.
(c) S3 = {(1, 2, 3, 4),(5, 6, 7, 8),(9, 10, 11, 12)}