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4 cards from this section. Quick, good the night before a test.
What is Bezout's Theorem?
Think about how GCD relates to other integer properties.
How do you express a linear combination?
Recall the defining equation involving GCD.
What does Bezout's theorem state?
Recall the relationship between GCD and linear combinations.
True or False: If two integers are co-prime, their GCD is 1.
Think about the definition of co-prime.
Use the extended Euclidean algorithm to find the GCD of 57 and 34. Express the GCD as a linear combination using Bezout's coefficients.
Track remainders and apply backward substitution.
Determine if the integer 45 has a multiplicative inverse under modulo 64 and explain your reasoning.
Check the GCD result to confirm if an inverse exists.
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