Determine whether the statement below is true or false. Justify the answer. If a set of p vectors spans a p-dimensional subspace H of R", then these vectors form a basis of H. Choose the correct answer below. A. The statement is false. Although the set of vectors spans H, there is not enough information to conclude that they form a basis of H. B. The statement is true. If a set of p vectors spans a p-dimensional subspace H of R", then these vectors must be linearly independent. Any linearly independent spanning set of p vectors forms a basis in p dimensions. O c. The statement is true. Any spanning set in H will form a basis of H. O D. The statement is false. Only vectors that span H and are linearly independent will form a basis of H. Since the set contains too many vectors, the spanning set cannot possibly be linearly independent.

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