試題詳解

1. (5%) Let P2 denote the collection of all real polynomials of degree less than or equal 2. Define the linear transformation L:P₂→P₂ by L(p(x))=p'(x)- p(1)x²+p(-1)for any polynomial p(x) in P₂. What is det(L)?
(A)-3
(B)-2
(C)0
(D)1
(E)2 (5%)