Question
Prove that $n-1$ always has a multiplicative inverse in $Z_{n},(n \geq 2)$.
Step 1
In the case of the set of integers modulo n (denoted as Z_n), the identity element is 1. So, we want to find an element b in Z_n such that (n-1) * b ≡ 1 (mod n). Show more…
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