Let P2 is the vector space of polynomials of the degree<2.Use coordinate vectors tothat the polynomialsp,(t)=1+2t², p {t)=4+t+5t?, p3(t)=3+2t,a) Are linearly independent in P2.b) Is P1, P2, P3 base of P, ? Why or Why not.

The main objective is to check {p1,p2,p3} linear independent and basis of P2.

Answered: Let P, is the vector space of…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.4: The Dot Product

Problem 12E

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Let P, is the vector space of polynomials of the degrees2.Use coordinate vectors to that the polynomials p,lt)=1+2t², p,{t)=4+t+5t?, p3(t)=3+2t, a) Are linearly independent in P,. b) Is P1, P2» P3 base of P, ? Why or Why not. %3D