(p. 9) = ["pluoba)da Question 5. Let P2(R) be an inner product space of polynomials of degree up to 2 with inner product
Posted: Thu May 12, 2022 12:01 pm
(p. 9) = ["pluoba)da Question 5. Let P2(R) be an inner product space of polynomials of degree up to 2 with inner product ()dr. Define TE L(P2(R) by T (p(x)) = 1/(x). (a) (5 points) Find the matrix of T with respect to the basis {1, -22, 22%} of P2(R). (b) (5 points) Is T surjective or not? (c) (5 points) Is T self-adjoint or not?