18 Let V be the space of real polynomials of degree at most 2. Furthermore A: VV maps a polynomial p(x) to the derivativ

[answerhappygod]

18 Let V Be The Space Of Real Polynomials Of Degree At Most 2 Furthermore A Vv Maps A Polynomial P X To The Derivativ 1 (11.03 KiB) Viewed 154 times

18 Let V be the space of real polynomials of degree at most 2. Furthermore A: VV maps a polynomial p(x) to the derivative of (x + 1)p(r): Ap = (gp) (here y(x) = =+1). a. Show that the map A is linear. b. Determine the matrix A. of Aw.rt. the basis o = {1,2,} c. Determine the matrix Ag of Aw.r.t. the basis 8 = {x?+2, 2+1, x2 +1}.