Question: Exercise 7 (8 points). Given two numbers a, b = Z. Consider the set of their linear combinations: s, t = Z s.t. n

Exercise 7 (8 points). Given two numbers a, b = Z. Consider the set of their linear combinations: s, t = Z s.t. n = sa + tb } = { sa + tb | s,tZ} Lab = {nZ | Prove that Lab = {nZ | gcd(a, b) | n}

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