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 2 × 2 matrices of the form a b d.

where ad = 0, with the usual matrix addition and scalar multiplication

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