Span v1vp - Study guides, Class notes & Summaries

Span( V1,...,VP) Correct Answer set of all linear combinations Basis of a vector subspace Correct Answer Let H be a subspace of a vector space V. An indexed set B=(v1,...vp) in V is a basis for H if: (i) B is a linearly independent set (ii) the subspace spanned by B coincides with H, that is, H=span(v1,...,vp) Linearly Independent Correct Answer c1V1+c2V2+...cpVp=0 has only trivial solution (c1,....,cp=0) Linearly dependent Correct Answer c1V1+c2V2+...cpVp=0 such that c1,...cp not...