題組內容

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)): =630834c1d2f7f.jpg with  undecided parameters a>0 and 630834e82b49e.jpg . Let A be the matrix representation of transformation L with respect to the ordered bases E = [I, x] and E'= 6308350e069d5.jpgfor 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。

(4.1) Find the set of630835592f034.jpg such that matix A becomes singular. (5%)