Find all possible linear combinations with value zero of the following sets of vectors and the dimensions of the space spanned by them: (a) (0,1,1),(2,0,1),(2,2,3),(0,2,2) in R 3
(b) x,x 2
+x,x 2
−x in P 2

(c) (1,1,2,2),(0,2,0,2),(1,0,2,1),(2,1,4,4) in R 4