4.(25%) Let P2 denote the vector space of all polynomials of degree less than 2. (Consider the transformation L:P2 →R2 defined by L(p(x)): = with undecided parameters a>0 and . Let A be the matrix representation of transformation L with respect to the ordered bases E = [I, x] and E'= for P2 and R2, respectively.
以下小題僅需依序寫下答案即可,不需做任何推導。
(4.3) Let B denote the matrix representation of transformation L with respect to the ordered bases F computed in (4.2) and F'=for P2 and R2 , respectively. Find the matrix B. (6%)