Question

what is the diffrence between a vector subset and vector subspace

Answer 1

a subset just doesnt match the requirements of a subspace

Answer 2

all subspaces are subsets; but not all subsets are subspaces

Answer 3

dont both have to satisy the ten axioms

Answer 4

no

Answer 5

V and W are both subsets of R^2

but only V is a subspace of R^2

Answer 6

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

Answer 7

ahh i get it

Answer 8

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

Answer 9

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