申論題

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%)