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Transitive Relations

Write the inv...

Question

Write the inverse of 5 under multiplication modulo 11 on the set {1, 2, ... ,10}.

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Solution

As, e = 1 : 5 × 9 ≡ 1 (mod 11)

So, the inverse of 5 i.e. 5^{$-$ 1} = 9

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