Determine whether the given set, together with the specified operations of addition and scalar multiplication, is a

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Determine whether the given set, together with the specified operations of addition and scalar multiplication, is a vector space. If it is not, list all of the axioms that fail to hold.


The set of all vectors
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in R2 with x ‰¥ y (i.e.,the union of the first and third quadrants), with the usual vector addition and scalar multiplication

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