7. Let Pn denote the set of all polynomials of degree less than n. Which of the following statements are
true?
(A) Suppose V1, V2, V3 are linearly independent vectors in P3. Then V1, V2, V3 span P3.
(B) If V1,V2, V3 are linearly dependent, then Span(v1, v2) must be equal to Span(v2, v3).
(C) P2 is a subspace of P3.
(D) Ifv1 + v2 + V3 equals the zero polynomial, then V1, V2, V3 must be linearly dependent.
(E) If V1,V2, .., Vm span a vector space V, then V1, V2, ..., Vm must be linearly independent.
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