Answered: Q₂/(a) Let X=(1, 4, 5,7, 8, 9) and o=… | bartleby

Linear Algebra: A Modern Introduction

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.4: The Singular Value Decomposition

Problem 51EQ

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Q₂/ (a) Let X={1, 4, 5,7, 8, 9) and o= {{1,4),(4,7, 8}}, show that whether o is:
(1) a subbase for a topology on X or not. (2) a base for a topology on X or not.
(b) Let X=(2,3,5,8) with indiscrete topology and Y=(a, b,c} with discrete, let f be a
constant map from a space X into a space Y show that whether f is:
(1) continuous map or not. (2) open map or not. (3) closed map or not.

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