Hi i have two questions regarding this definition: "A vector space is a set that is closed under finite vector addition and scalar multiplication"(adsbygoogle = window.adsbygoogle || []).push({});

First of all, is it correctly that a vector space simply is a set of rules that are assigned to a set of vector, the rules are addition and multiplication, and if we apply these rules the set of vecturs are in the vectorspace V?

What does it mean that a set is closed under vector addition and scalar multiplication?

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# Vector spacesHelp

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