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OpenStudy (anonymous):

what is the diffrence between a vector subset and vector subspace

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OpenStudy (amistre64):

a subset just doesnt match the requirements of a subspace

OpenStudy (amistre64):

all subspaces are subsets; but not all subsets are subspaces

OpenStudy (anonymous):

dont both have to satisy the ten axioms

OpenStudy (amistre64):

no

OpenStudy (amistre64):

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OpenStudy (amistre64):

V and W are both subsets of R^2 but only V is a subspace of R^2

OpenStudy (amistre64):

no linear combination of W will produce the 0 vector so its not a subspace ...

OpenStudy (anonymous):

ahh i get it

OpenStudy (anonymous):

a subspace is itself a vector space, so must satisfy all the vector space axioms

OpenStudy (anonymous):

if you have a subset, it will inherit many of the properties you need, but not all. for example, as amistre pointed out, it may not contain the zero vector

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