Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. advance math
  3. 1. determine an inverse of a modulo m for a = 6 an

1. Determine an inverse of a modulo m for a = 6 and m = 11.  This...

60.1K

Verified Solution

Question

Advance Math

1. Determine an inverse of a modulo m for a =6 and m = 11.  This is equivalent toanswering the question “_______ is the unique inverse of6 (mod 11) that is non-negative and <11.”  Show your work following thesteps.

  1. Beside the inverse you identified in part a), identify twoother inverses of 6 (mod 11).  

Hint:  All of these inverses are congruent to eachother mod 11.

  1. Although the congruence can be solved using any of the inversesyou identified in parts a) and b), use the unique inverse of 6(mod 11) that you identified in part a), that is, thenon-negative inverse of 6 (mod 11) that is < 11, tosolve the following congruence.  Show yourwork.  6x ≡ 8(mod 11).

  2. Determine if the congruence 6x ≡ 11(mod 8) hasa solution.

    If there is a solution, identify a value forx.  If there is no solution, explain whynot.

Answer & Explanation Solved by verified expert
3.7 Ratings (410 Votes)
dWant to find the solution of the equationThus this congruence    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Q

Solve these questions with formula (answer quantitatively) : a. Current earning per share = $6 Current dividend...

Finance
Q

A description and example of four qualitative data analysis techniques

Statistics
Q

Question 26 Carbon dioxide in the atmosphere dissolves with the raindrops The pH of raindrops...

Biology
Q

hthly cost of a certain texting plan is given by the function y 0 08x...

Basic Math
Q

Cans of regular Coke are labeled as containing 12 oz Statistics students weighed the contents...

Statistics
Q

please answer in a clear Excel sheet. thank you ...

Accounting
Q

Prepare a worksheet that contains the following columns: Trial Balance, Adjustments, Adjusted Trial Balance, Income...

Accounting
Q

Presented here are summarized data from the balance sheets and income statements of Wiper, Inc.:...

Accounting
Q

Ontario Pump Company, a small manufacturing company in Toronto, Ontario, manufactures three types of pumps...

Accounting
Q

Can Someone Help me Pleaseee! (a) On the basis...

Accounting
Q

K2 Corporation has assets of $1.35 million, common stock of $351,000, and retained earnings of...

Accounting
Q

PLEASE SHOW ALL THE FORMULAS USED TO SOLVE THIS QUESTION 1) The balance sheet...

Finance