- 15 Pts Let Pn Denote The Vector Space Of All Real Polynomials Of T Of Degrees Less Than Or Equal To N Together With 1 (16.13 KiB) Viewed 51 times
(15 pts) Let PN denote the vector space of all real polynomials (of t) of degrees less than or equal to N, together with
-
answerhappygod
- Site Admin
- Posts: 899603
- Joined: Mon Aug 02, 2021 8:13 am
(15 pts) Let PN denote the vector space of all real polynomials (of t) of degrees less than or equal to N, together with
(15 pts) Let PN denote the vector space of all real polynomials (of t) of degrees less than or equal to N, together with the zero polynomial. Define a map L: P² → P4 by L(p(t)) = t2p(t) + p(1). (a) (3pts) Verify that L is a linear transformation. (b) (12pts) Find the matrix representing L under the standard bases 1, t, 1² and 1, t, t.B.P.P.