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3 cards from this section. Quick, good the night before a test.
What is the definition of a modular multiplicative inverse?
Think of it as a number that undoes the multiplication.
If a = 3 and N = 11, what is the multiplicative inverse of 'a'?
Use trial and error to find b.
What is the condition for a modular inverse to exist?
Think about independent numbers.
True or False: If 'a' has an inverse modulo 'N', then GCD(a, N) can be greater than 1.
Consider what it means to be co-prime.
Given a = 27 and N = 40, determine the multiplicative inverse using the Extended Euclidean Algorithm. Show all steps.
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.
Consider why common factors prevent inverses!
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