4. Consider the vector space RR of functions f: R R. Let U = {f: R → R: f(42)=0}. Show that U is a subspace of RR.

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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Consider the vector space RR of functions f: R → R. Let U
4.
R: f(42)=0}. Show that U is a subspace of RR.
-
{ƒ: R →
Transcribed Image Text:Consider the vector space RR of functions f: R → R. Let U 4. R: f(42)=0}. Show that U is a subspace of RR. - {ƒ: R →
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