Solution Found!

Show that if a has a multiplicative inverse modulo N, then this inverse is unique

Chapter 1, Problem 1.23

(choose chapter or problem)

Get Unlimited Answers
QUESTION:

Show that if a has a multiplicative inverse modulo N, then this inverse is unique (modulo N).

Questions & Answers

QUESTION:

Show that if a has a multiplicative inverse modulo N, then this inverse is unique (modulo N).

ANSWER:

Step 1 of 2

For the first part note as (n,a) = 1, then there exist , s.t . Multiply both sides by y and you will get  . The LHS is obviously divisible by n , so the RHS must be too.

Hence,

Add to cart


Study Tools You Might Need

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back