Determine whether the following statements are True or False.

a. The columns of an invertible n×nn×n matrix form a basis for RnRn.
b. If H=span{v1,...,vp}H=span{v1,...,vp}, then {v1,...,vp}{v1,...,vp} is a basis for HH
c. A single nonzero vector by itself is linearly dependent.
d. A basis is a spanning set that is as large as possible.