Answered: 2. Let V = E3 and W = {x|x = a(1,0,2) +…

2. Let V = E3 and W = {x|x = a(1,0,2) + b(1,-1,3)} and S = {x\x = (x1,x2, 1)} where a and b are any real numbers. Is W a subspace of V or not?

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.1: Vector Spaces And Subspaces

Problem 30EQ: In Exercises 24-45, use Theorem 6.2 to determine whether W is a subspace of V. V=Mnn,WAinMnn:detA=1

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2. Let V = E3 and W = {x|x = a(1,0,2) + b(1,-1,3)} and S = {x|x = (x1,x2, 1)} where a and b
are any real numbers. Is W a subspace of V or not?

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