Question

The multiplicative inverse of 23 is _____

Answer 1

Step-by-step explanation:

Here is one way to find the inverse. First of all, 23 has an inverse in Z/26Z because gcd(26,23)=1. So use the Euclidean algorithm to show that gcd is indeed 1. Going backward on the Euclidean algorithm, you will able to write 1=26s+23t for some s and t. Thus 23t≡1 mod 26. So t is an inverse of 23 in Z/26Z.

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Answer 2

Multiplicative inverse means reciprocal of the no.

$\huge\red{AnsWeR}$

$=>1/23$