Problem 2: (2 If V = R' is a vector space and let H be a subset of V and is defined as H = {(a,b,c):a² +b² = 0,c<0}. Show that H is not a subspace of vector space. %3D %3D

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter3: Triangles
Section3.5: Inequalities In A Triangles
Problem 35E: Prove by the indirect method: Given: MPN is not isosceles Prove: PMPN
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Transcribed Image Text:Q Show that w j not a Subspale z a veuN Spale V, uhexe defined as Wこ Colf © obviomsay cO,90)E W O let u-I, 0,0) GW and Vz (ob0)eW 十 becauk Ptiróza> 22 ん wらmot a fubospele uf V. no need of exum
Problem 2: (2 me
If V = R' is a vector space and let H be a subset of V and is defined as
H = {(a,b,c):a² +b² = 0,c<0}. Show that H is not a subspace of vector space.
or
Transcribed Image Text:Problem 2: (2 me If V = R' is a vector space and let H be a subset of V and is defined as H = {(a,b,c):a² +b² = 0,c<0}. Show that H is not a subspace of vector space. or
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