(3) Denote by En = {1,2,...,x"} the standard basis of Pn. Consider linear operators (notice the domains and the targets!

[answerhappygod]

3 Denote By En 1 2 X The Standard Basis Of Pn Consider Linear Operators Notice The Domains And The Targets 1 (36.88 KiB) Viewed 31 times

(3) Denote by En = {1,2,...,x"} the standard basis of Pn. Consider linear operators (notice the domains and the targets!) : Pn → Pn-1, Ozp(x) = p'(x) (the derivative), and A: Pn → Pn+1, Find matrices (Ap)(x) = f* p(t) dt. 0 [dz] En-1 &n=? [A] En+1 &n=? Find subspaces ker d =?, ker A =?, rand₂ =?, ranA=?, and prove your answers.