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 → Rcontinues such that f(x) = g(x) Vx € E

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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

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