1. Suppose that (Q x Q, +,.) is a field where (x, y) + (z, w) = (x + z,y + w) and (x, y). (z, w) = (xz + 2yw, xw + yz). Then (1,2)-1 =... (a) (-) (b) G.-) (c) (-;) (d) (-)

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter5: Rings, Integral Domains, And Fields
Section5.2: Integral Domains And Fields
Problem 24E: If a0 in a field F, prove that for every bF the equation ax=b has a unique solution x in F. [Type...
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1. Suppose that (Q x Q, +,.) is a field where (x, y) + (z, w) = (x + z,y + w) and
(x, y). (z, w) = (xz + 2yw, xw + yz). Then (1,2)-1 =...
(a) (-)
(b) G.-)
(e) (-)
(d) (-,)
(a) O
(b) O
(c) O
(d) O
Transcribed Image Text:1. Suppose that (Q x Q, +,.) is a field where (x, y) + (z, w) = (x + z,y + w) and (x, y). (z, w) = (xz + 2yw, xw + yz). Then (1,2)-1 =... (a) (-) (b) G.-) (e) (-) (d) (-,) (a) O (b) O (c) O (d) O
2. In the field (Z13, +13.-13), we have 12-1+1312 =.
(а) 0
(b) 1
(c) 11
(d) 12
Transcribed Image Text:2. In the field (Z13, +13.-13), we have 12-1+1312 =. (а) 0 (b) 1 (c) 11 (d) 12
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