Hello, I've been studying some linear algebra, and i am stuck on a certain definition.(adsbygoogle = window.adsbygoogle || []).push({});

The book i am using says that points{p0,p1,...,pk} in a vector space V are barycentrically independent if and only if the vectors {p1-p0,p2-p0,...,pk-p0} are linearly independent. The problem i have is the definition for two points. The definition in the book seems to work only for k≥2, but what about k=1? I'm sorry if I am missing something completely obvious, and i'll check more carefully if this is the case.

Sincerely,

mathguy15

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# What exactly does it mean for two points to be barycentrically independent?

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