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A subspace of R 2 : the set of all length-2 vectors [x:y] whose entries x and y are odd integers. The axiom: ( u

A subspace of R2: the set of all length-2 vectors [x:y] whose entries x and y are odd integers.

The axiom: (u + v) + w = u + (v + w)

Does this axiom hold true with regards to the vector space, or does it not hold? Please show all the steps when proving or disproving, thank you!

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