問題詳情

6. Let (ZxZ,⊕) be the group with (a, b)⊕(c, d) = (atc+2, 6+d-2) for any (a, b), (c, d) ∈ ZxZ wherea+c+2 and b+d-2 are computed using ordinary addition and subtraction in Z.
【題組】(a)3(4,5)=(4,5)⊕(4,5)⊕(4,5)=?

參考答案