For each of the subspaces ? and ? of ?4 (?) defined below, findbases for ? + ? and ? ? ?, and verify that dim[?] + dim[? ] = dim[?+ ? ] + dim[? ? ? ]
(a) ? = {(1, 3, 0, 1), (1, ?2, 2, ?2)}, ? = {(1, 0, ?1, 0), (2,1, 2, ?1)}
(b) ? = {(1, 0, 1, 2), (1, 1, 0, 1)}, ? = {(0, 2, 1, 1), (2, 0,?1, 0)}