(1 point) Basis and Dimension Enter T or F depending on whether the statement is true or false. (You must enterT or F - True and False will not work.) 1. IfV is a vector space with dimV = 4' and U is a subspace of Vthat is not equal to V: then dij g 3. 2. If U is a subspace ofa vector space V and S Is a Iineany independent set of vectors in U: then either S is a basis for U or vectors can be added to S to obtain a basis for U 3. If U is a subspace ofa vector space V and S is a set of vectors in U so that U = Span S, then either S is a basis for U or vectors can be removed from S to obtain a basis Tor U. 4-. IfU is a subspace ofa vector space V with (1ij = dij, then U = V. 5. If?r is a vector space and v1, V2,V3 are vectors in V so that V : Span{v1, V2,V3}, then dim V : 3