* Determine whether H, a subset of the vector space V, is a subspace of V:

a) V=M^n,n , H={A E M^n,n : det A does not =0}

b) V=P3, H={p E P3 : p(0)=0}

*If p1, p2,.....pm span Pn, write down a mathematical relationship between m and n.

Any help is greatly appreciated!!