Subspace vs Subset: Understanding the Relationship

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Max.Planck
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Hi,

A quick question:
Does a set need to be a subset to be a subspace of some vector space?
 

Discussion

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HallsofIvy said:
A vector space is a set of objects with "addition" and "scalar multiplication" defined. A "subspace" is a subset with the "inherited" addition and scalar multiplication.

Thank you!
 

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