Which of the following is true about the span of a set of vectors S={v1,…,vk}S = \{v_1, \dots, v_k\}S={v1,…,vk}?
It is the smallest subspace containing SSS.
It is always Rn\mathbb{R}^nRn if k=nk=nk=n.
It contains the zero vector if SSS is linearly independent.
It is never a subspace.