Question:4) Which of the following is a subspace of R^3?Justify your answer.i) W={(x,y,z)|x+y+z=0}ii) W={(x,y,z)|x^2+y^2+z^2=0}iii) W={(x,y,z)|x>0}iv). W={(x,2x,3x)|x is a real number}

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Answered: Question: 4) Which of the following is…

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.3: Subspaces Of Vector Spaces

Problem 56E: Give an example showing that the union of two subspaces of a vector space V is not necessarily a...

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Question: 4) Which of the following is a subspace of R^3? Justify your answer. i) W={(x,y,z)|x+y+z=0} ii) W={(x,y,z)|x^2+y^2+z^2=0} iii) W={(x,y,z)|x>0} iv). W={(x,2x,3x)|x is a real number}