1. Which of the following is a subspace of R AW₁ = {(x, y, z) € R³ | x+y+z>0} BW₂ = {(x, y, z) € R³ | x+y+z=1} 3 3 CW3 = {(x, y, z) = R³ | x=y=z} 1123 | mai

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
Problem 54CR: Let V be an two dimensional subspace of R4 spanned by (0,1,0,1) and (0,2,0,0). Write the vector...
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1. Which of the following is a subspace of R³?
A W₁ = {(x, y, z) € R³ | x+y+z>0}
B W₂ = {(x, y, z) € R³ | x+y+z=1}
CW3 = {(x, y, z) € R³ | x=y=z}
3
DW₁ = {(x, y, z) = R³ | xy = 0}
Transcribed Image Text:1. Which of the following is a subspace of R³? A W₁ = {(x, y, z) € R³ | x+y+z>0} B W₂ = {(x, y, z) € R³ | x+y+z=1} CW3 = {(x, y, z) € R³ | x=y=z} 3 DW₁ = {(x, y, z) = R³ | xy = 0}
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