(a) The binary operation o is defined on the set A = {e, a, b, c, d, f} by the Cayley table below. Show that (A, o) is not a group. (8 O e a b e e a c d f a с d f d fe b d C a b b C ef a db fa b C C e dd fc ƒ ƒ b a to onniq berogodno us buit of noiselanogoro #bigbe (0.1.S) 1000 odd sobulbr a de .8 101 aiand mei (1 C
(a) The binary operation o is defined on the set A = {e, a, b, c, d, f} by the Cayley table below. Show that (A, o) is not a group. (8 O e a b e e a c d f a с d f d fe b d C a b b C ef a db fa b C C e dd fc ƒ ƒ b a to onniq berogodno us buit of noiselanogoro #bigbe (0.1.S) 1000 odd sobulbr a de .8 101 aiand mei (1 C
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.6: The Algebra Of Matrices
Problem 35E
Related questions
Question
![(a) The binary operation o is defined on the set A = {e, a, b, c, d, f} by
the Cayley table below. Show that (A, o) is not a group.
(890)
O
e
a
b
e
e
ad fe
b
C
a b c d f
a b c d f
c b
C
ef a d
ed bf a
b
C
dd fc
ba
f
ƒ ƒ
8 101 aiand s Pi (1-S.S).(0.1.S)} = 8
Hoolt
to susiq sol n
nogulrio abinube
Todoy and aobubb
etrogodro us bud
е
de c
(0.1.S)
(0,IS)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8ac9dc76-28dc-4d11-9e57-18b906b03777%2F41186e33-8ff1-4269-8a9f-feb87f275f21%2F2by67y_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(a) The binary operation o is defined on the set A = {e, a, b, c, d, f} by
the Cayley table below. Show that (A, o) is not a group.
(890)
O
e
a
b
e
e
ad fe
b
C
a b c d f
a b c d f
c b
C
ef a d
ed bf a
b
C
dd fc
ba
f
ƒ ƒ
8 101 aiand s Pi (1-S.S).(0.1.S)} = 8
Hoolt
to susiq sol n
nogulrio abinube
Todoy and aobubb
etrogodro us bud
е
de c
(0.1.S)
(0,IS)
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