Write the inverse of 5 under multiplication modulo 11 on the set … - Vidyadip

Question

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

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Answer

As, $e =1: 5 \times 9 \equiv 1(\bmod 11)$
So, the inverse of 5 i.e. $5^{-1}=9$

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