3. For any a eE Z, let als denote (a] in Z6 and let (a)2 denote (a] in Z2. Given that the mapping 0: Z6 Z2 defined by 0(lale) = [a]2 is a homomorphism. %3D (a) Find ker 0. (b) Find Zg/ker0. (c) Find an isomorphism from Z6/kere to Z2.

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Q: 1. Determine the incidence matrices of the graphs below. a) b) a (b of

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Q: (a). ker() ◄ G. (b). H≤G⇒(H) ≤ y(G). (c). H'G'⇒-¹(H') ≤G. Ali

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A: Given: the mapping x --> x6 from C* to C* is a homomorphism.

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