For arbitrary n ≥ 2 and a ∈ Zn: 1.Prove or disprove the following: (n − 1)−1 = n − 1 in Zn. 2.Prove that (a−1)−1 = a: that is, a is the multiplicative inverse of the multiplicative inverse of a.

For arbitrary n ≥ 2 and a ∈ Zⁿ:

1.Prove or disprove the following: (n − 1)−1 = n − 1 in Zn.

2.Prove that (a−1)−1 = a: that is, a is the multiplicative inverse of the