ts) Let P2 denote the vector space of polynomials of degree up to 2. Which of the following subsets of P2 are subspaces of P2?A. {p(t) | p' (t) + 8p(t) + 4 = 0}B. {p(t) | p(-t) = p(t) for all t}Oc. {p(t) | fp(t)dt = 0}D. {p(t) |p(1)=0}E. {p(t) | p' (2) = p(5)}OF. {p(t) |p(4) = 1}

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Answered: ts) Let P2 denote the vector space of…

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.3: Subspaces Of Vector Spaces

Problem 45E: Consider the vector spaces P0,P1,P2,...,Pn where Pk is the set of all polynomials of degree less...

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ts) Let P2 denote the vector space of polynomials of degree up to 2. Which of the following subsets of P2 are subspaces of P2? A. {p(t) | p' (t) + 8p(t) + 4 = 0} B. {p(t) | p(-t) = p(t) for all t} Oc. {p(t) | fp(t)dt = 0} D. {p(t) |p(1)=0} OE. {p(t) | p (2) = p(5)} OF. {p(t) |p(4) = 1}