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Linear Algebra: A Modern Introduction

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter3: Matrices

Section3.5: Subspaces, Basis, Dimension, And Rank

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Problem 14.
Prove that if M is a closed subspace and N is a finite dimensional subspace of a
normed space X, then M + N := {m +n : m € M, n E N} is closed.

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