A basis of a vector space V is a linearly independent set that spansV. If V possesses a basis of an n-vector set S={v1,v2,...,Un}, V is of dimension n,written as dimV =n. V={0,we write dimV =0. For instance, C is a vector space of dimension 2 over R with basis {1,i,where i=√-I, C is a vector space of dimension 1 over C with basis {1. 77