Mathematics, 07.04.2020 18:54 ChloeLiz7111

Let H be the set of all points in the xy-plane having at least one nonzero coordinate H = {[x y]: x, y not both zero} Determine whether H is a vector space. If it is not a vector space, determine which of the following properties it falls to satisfy:

a. Contains zero vector
b. Closed under vector addition
c. Closed under multiplication by scalars

A. H is not a vector space; not dosed under vector addition
B. H is not a vector space; does not contain zero vector
C. H is not a vector space; does not contain zero vector and not dosed under multiplication by scalars
D. H is not a vector space; fails to satisfy all three properties

Answers: 3

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Let H be the set of all points in the xy-plane having at least one nonzero coordinate H = {[x y]: x,...