The set G a 0 b 0 c 0 a, b, c ER, a ‡0, c#0 a 0 C 0 0 a 0 a is a group under matrix multiplication. This question concerns the mapping defined by o: (G, x)→→ (R, +) o b 0 sota 26 3a (a) Prove that is a homomorphism. (b) Find Ker p. (c) Show that the quotient group G/Ker o is isomorphic to (R, +).

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