If Bold v 1 comma ... comma Bold v Subscript pv1,...,vp are in a vector space​ V, then Span StartSet Bold v 1 comma ... comma Bold v Subscript p EndSetSpanv1,...,vp is a subspace of V. B. The column space of an mtimes×n matrix A is a subspace of set of real numbers R Superscript mℝm. C. The null space of an mtimes×n matrix is a subspace of set of real numbers R Superscript nℝn. ​Equivalently, the set of all solutions to a system Axequals=0 of m homogeneous linear equations in n unknowns is a subspace of set of real numbers R Superscript nℝn. D. An indexed set StartSet Bold v 1 comma ... comma Bold v Subscript p EndSetv1,...,vp of two or more vectors in a vector space​ V, with Bold v 1v1not equals≠0 is a subspace of V if and only if some Bold v Subscript jvj is in Span StartSet Bold v 1 comma ... comma Bold v Subscript j minus 1 Baseline comma Bold v Subscript j EndSetSpanv1,...,vj−1,vj.