Question: Determine whether the given set, together with the specified operations of addition and scalar multiplication, is a vector space over the indicated Z p .

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

Z₆, over Z₃ with the usual addition and multiplication (Think this one through carefully!)

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