GerQ. No1.Consider the subspaces V = {(x, y, 2, w) : 6x = w, y = 32) and W(x, y, z, w): y-4z + 2w = 0} of vector space R. Find the bases anddimensions of subspaces V+ Ww, vow and verify the relationship between theirdimensions.%3D%3D

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Answered: and W Consider the subspaces V = {(x.…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.2: Linear Independence, Basis, And Dimension

Problem 43EQ

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and W Consider the subspaces V = {(x. v. Z. w) : 6x = w, y = 3z} ((x, y, z, w): y-4z + 2w = 0} of vector space R. Find the bases ar dimensions of subspaces V + W, vow and verify the relationship between the dimensions. %3D