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Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
Problem 30EQ
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Please prove EVERYTHING, (if they affirm something, please prove it even if it seems easy)

20.- f : E –→ R continuous, E C R closed. Prove that there exists g : R → R
continues such that f(x) = g(x) Vx € E
Transcribed Image Text:20.- f : E –→ R continuous, E C R closed. Prove that there exists g : R → R continues such that f(x) = g(x) Vx € E
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