In chapter 10, the notions of a linearly independent set of vectors in a vector space V, and of a set of vectors that span V were established: Any set of vectors that span V can be reduced...In chapter 10, the notions of a linearly independent set of vectors in a vector space V, and of a set of vectors that span V were established: Any set of vectors that span V can be reduced to some minimal collection of linearly independent vectors; such a set is called a \emph{basis} of the subspace V.
