In Exercises 1-3, determine whether the given set, together with the specified operations of addition and scalar
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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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