複選題9.Define a mapping L: R3 →R3 by L(x) = Kx, where . Suppose that E = {p, Kp, K2p} is an ordered basis of R3, and K3p - 5K2p + 7Kp - 11p = 0. Let A be the matrix representation of L with respect to basis E. SupposeWhich of the following statements are true? (A) (B)(C) (D)(E)

複選題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.

複選題
9.Define a mapping L: R³ →R³ by L(x) = Kx, where . Suppose that E = {p, Kp, K²p} is an ordered basis of R³, and K³p - 5K²p + 7Kp - 11p = 0. Let A be the matrix representation of L with respect to basis E. SupposeWhich of the following statements are true?
(A)
(B)
(C)
(D)
(E)

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