4. a) Determine if W = set of (x, y, z) where 2y – z = 0 a subspace of R3. If so, prove why. If not, give a counter example. Be sure to use proper notation. b) Determine if W = set of (x, y, z) where x + y = 1 a subspace of R3. If so, prove why. If not, give a counter example. Be sure to use proper notation.

4. a) Determine if W = set of (x, y, z) where 2y – z = 0 a subspace of R3. If so, prove why. If not, give a counter example. Be sure to use proper notation. b) Determine if W = set of (x, y, z) where x + y = 1 a subspace of R3. If so, prove why. If not, give a counter example. Be sure to use proper notation.

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 42EQ

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