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(15 pts) Let PN denote the vector space of all real polynomials (of t) of degrees less than or equal to N, together with
Posted: Fri Jul 08, 2022 5:32 am
by answerhappygod
- 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 52 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 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.