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1. (10 points) Let F be the real vector space of all functions f: RR with the usual addition and scalar multiplication (
Posted: Thu May 05, 2022 7:39 pm
by answerhappygod
- 1 10 Points Let F Be The Real Vector Space Of All Functions F Rr With The Usual Addition And Scalar Multiplication 1 (17.91 KiB) Viewed 35 times
1. (10 points) Let F be the real vector space of all functions f: RR with the usual addition and scalar multiplication (you may assume without proof this is a real vector space). Let W = {feF: f(ar+) = f(r) for all z ER}. (In other words, W is the set of -periodic functions.) Show that W with the same addition and scalar multiplication as F is a subspace of F.