15. Let V be the set of those polynomials ax² + bx + c € P₂ such that P2 a + b + c = 0. Is V a subspace of P₂? Explain. If V is a subspace then find the a basis of V.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
Problem 47CR: Find an orthonormal basis for the subspace of Euclidean 3 space below. W={(x1,x2,x3):x1+x2+x3=0}
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15. Let V be the set of those polynomials ax² + bx + c € P₂ such that
a + b + c = 0. Is V a subspace of P₂? Explain. If V is a subspace then find
the a basis of V.
Transcribed Image Text:15. Let V be the set of those polynomials ax² + bx + c € P₂ such that a + b + c = 0. Is V a subspace of P₂? Explain. If V is a subspace then find the a basis of V.
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