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。
such that matix A becomes singular. (5%)