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(2) Letn∈Z+ withn>1. Provethatif[a]n isaunitinZn,thenforeach[b]n ∈Zn,theequation[a]n⊙x=[b]n has a unique solution x ∈ Zn. Note: You must...

(2) Letn∈Z+ withn>1. Provethatif[a]n isaunitinZn,thenforeach[b]n ∈Zn,theequation[a]n⊙x=[b]n has a unique solution x ∈ Zn.
Note: You must find a solution to the equation and show that this solution is unique.
(3) Let n ∈ Z+ with n > 1, and let [a]n, [b]n ∈ Zn with [a]n ̸= [0]n. Prove that, if the equation [a]n ⊙ x = [b]n has no solution x ∈ Zn, then [a]n must be a zero divisor.
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