9.5 - Multiplicative Inverse Modulo N
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Practice Questions
Test your understanding with targeted questions
What is the definition of a modular multiplicative inverse?
💡 Hint: Think of it as a number that undoes the multiplication.
If a = 3 and N = 11, what is the multiplicative inverse of 'a'?
💡 Hint: Use trial and error to find b.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the condition for a modular inverse to exist?
💡 Hint: Think about independent numbers.
True or False: If 'a' has an inverse modulo 'N', then GCD(a, N) can be greater than 1.
💡 Hint: Consider what it means to be co-prime.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Given a = 27 and N = 40, determine the multiplicative inverse using the Extended Euclidean Algorithm. Show all steps.
💡 Hint: Break down each step and watch for the coefficients you get!
If a = 12 and N = 30, can you find a multiplicative inverse? Justify your answer based on GCD.
💡 Hint: Consider why common factors prevent inverses!
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