2. (a) Prove that U45 is generated by the set {14,28}. (b) Prove that the additive...

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2. (a) Prove that U45 is generated by the set {14,28}.

(b) Prove that the additive group Z×Z is generated by the setS={(3,1),(−2,−1),(4,3)}.

Please be thorough step by step with details, please.

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