#4 In Exercises 1-4, let S be the collection of vectors in R?that satisfy the given property. In each case, either prove thatS forms a subspace of R² or give a counterexample to showthat it does not.1. x = 02. x2 0, y 2 03. y = 2x4. ху 2 0In Exercises 5-8, let S be the collection of vectors y in R'that satisfy the given property. In each case, either prove thatS forms a subspace of R' or give a counterexample to showthat it does not.5. x = y = z6. z = 2x, y = 0

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Answered: In Exercises 1-4, let S be the…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter3: Matrices

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

Problem 4EQ: In Exercises 1-4, let S be the collection of vectors in [xy]in2 that satisfy the given property. In...

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