Problem:
Linear Independence of the Set of Vectors
(a) Test for the linear independence of the set of vectors (0,1,0,1,1,0), (1,1,1,0,0,1), (1,0,1,0,1,1), (1,1,1,0,0,0), (0,0,1,0,1,1) in V6 over the field of rational numbers.
(b) Test for the linear independence of the set of vectors (1,0,1), (1,2,0), (0,1,2), (1,1,2),in V3 over the field of rational numbers.