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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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