If V = R is a vector space and let Hbe a subset of V and is defined as H={(a,b,c): a² +b² = 0,c>0}. Show that His not a subspace of vector %3D %3D space.
If V = R is a vector space and let Hbe a subset of V and is defined as H={(a,b,c): a² +b² = 0,c>0}. Show that His not a subspace of vector %3D %3D space.
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 34EQ: In Exercises 24-45, use Theorem 6.2 to determine whether W is a subspace of V.
34. ,
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