Solve the problem.Let H be the set of all points of the form (s, s-1). Determine whether H is a vector space. If it is not a vector space, determine which of the following properties it fails to satisfy.A: Contains zero vectorB: Closed under vector additionC: Closed under multiplication by scalars
A. H is not a vector space; does not contain zero vector
B. H is a vector space.
C. H is not a vector space; not closed under vector addition
D. H is not a vector space; fails to satisfy all three properties
Answer: D
Mathematics
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