Question: 6. (3+1 marks) Consider the following binary operations on R4: O : R4 x R4 - R4 ((a1, a2, a3, a4), (b1, b2, b3, b4))

6. (3+1 marks) Consider the following binary operations on R4: O : R4 x R4 - R4 ((a1, a2, a3, a4), (b1, b2, b3, b4)) - (a1 + b1, a2 + b2, a3 + 63, a4 + b4) Q: R4 x R - R4 ((a1, a2, a3, a4), (b1, b2, b3, b4)) - (albi + a2b3, a1b2 + a2b4, a3b1 + a4b3, a362 + a4b4) (a) Show that Ois distributive over O. (b) Show that there is a neutral element for O

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