Question: In Exercises 1-3, determine whether the given set, together with the specified operations of addition and scalar multiplication, is a vector space over the indicated

In Exercises 1-3, determine whether the given set, together with the specified operations of addition and scalar multiplication, is a vector space over the indicated Zp, If it is not, list all of the axioms that fail to hold.
1. The set of all vectors in Zn2 with an even number of l s, over Z2 with the usual vector addition and scalar multiplication.
2. The set of all vectors in Zn2 with an odd number of l s, over Z2 with the usual vector addition and scalar multiplication.
3. The set Mmn(Zp) of all m × n matrices with entries from ZP, over ZP with the usual matrix addition and scalar multiplication.

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