Let A and B be two subspaces of vector space V. Show that span of intersection of A and B is contained in the intersection of the span (A) and Span (B).
but converse is not true. Take A = { (1,0), (0,1)} and B ={ (-1,0),(0,-1)} . Intersection of A and B is empty and so the subspace spanned by it is zero subspace of R². On the other...