To show that the first four Hermite polynomials form a basis of set of prime numbers P 3ℙ3, what theorem should be used? A. If a vector space V has a basis Upper BBequals=StartSet Bold b 1 comma . . . comma Bold b Subscript n EndSetb1, . . . , bn, then any set in V containing more than n vectors must be linearly dependent. B. Let H be a subspace of a finite-dimensional vector space V. Any linearly independent set in H can be expanded, if necessary, to a basis for H. C. Let V be a p-dimensional vector space, pgreater than or equals≥1. Any linearly independent set of exactly p elements in V is automatically a basis for V. D. If a vector space V has a basis of n vectors, then every basis of V must consist of exactly n vectors.