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What does this mean? (Question about vector spaces)





I thought I understood what was being explained here, but then I read the example bit and realised I didn't have a clue what this means. Could someone please simplify/explain it to me please?

Thanks
(edited 9 years ago)
Do you understand everything above the example?

If you understand what linear combinations are, then span is just the set of all linear combinations. That's just like a definition you need to know.

I don't really think the example helps you understand span tbh!

This website looks good though: http://ltcconline.net/greenl/courses/203/vectors/linindspan.htm
(edited 9 years ago)
Original post by A Confused Guy


I thought I understood what was being explained here, but then I read the example bit and realised I didn't have a clue what this means. Could someone please simplify/explain it to me please?

Thanks


Well, Rv and <v> are just 2 ways of referring to the set

{rv:rR,vV}\{ rv : r \in \mathbb{R}, v \in V \}

and this should explain why it says "the set of all scalar multiples of v"

Anything else?

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