A (ii), (iii) (i), (ii) B P (1) (iv) Suppose f: A B is a non-zero group homomorphism. Which of the following are true? (i): If A = Z36, B = Z6, f(2)=4, then f(10) = 2. (ii): If A = B = Z20, f (7) = 9, then f(1) = 6. (iii): If f is an isomorphism, then ker(f) # {e}. (iv): If A = U10, B = Z₁, f(3) = 2, then ker(f) = {1}.

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A: We have: to use definition of homomorphism:

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A: see my attachments

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