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Show that 15 is an inverse of 7 modulo 26.

Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen ISBN: 9780073383095 37

Solution for problem 1E Chapter 4.4

Discrete Mathematics and Its Applications | 7th Edition

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Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen

Discrete Mathematics and Its Applications | 7th Edition

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Problem 1E

Problem 1E

Show that 15 is an inverse of 7 modulo 26.

Step-by-Step Solution:

Solution

In this question we have to show that 15 is an inverse of 7 modulo 26.

Step 1

Let a and b be the two integers such that

Such that a and b are inverses of each other

That is,

Here ,

 

 

 

Therefore 15 is an inverse of 7 modulo 26.

Step 2 of 1

Chapter 4.4, Problem 1E is Solved
Textbook: Discrete Mathematics and Its Applications
Edition: 7
Author: Kenneth Rosen
ISBN: 9780073383095

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Show that 15 is an inverse of 7 modulo 26.