Question: Let (Q, , ) denote the field where 0 and O are defined by A b = a + b - k, a

Let (Q, ⊕, ⊙) denote the field where 0 and O are defined by
A ⊕ b = a + b - k, a ⊙ b = a + b + (ab/m),
for fixed elements k, m (≠ 0) of Q. Determine the value for k and the value for m in each of the following.
(a) The zero element for the field is 3.
(b) The additive inverse of the element 6 is -9.
(c) The multiplicative inverse of 2 is 1/8.

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a k 3 m 3 b The zero dement is k Hence we have ... View full answer

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