2. Which of the following multiplication tables defined on the set G = {a,b,c,d} form a group? Support your answer in each case. a. C. a a a с b b b с с с d d O b c d d a d a b a a b ૧ | ૧ d a b b a с с d с с с d a dd a b U с d d a b с b. d. o a b a a b ११ O с с d a b d d a b | с d с d a d с с с d d C с ” ૧ a b с d a b с d b a с d b a d d b с

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
2. Which of the following multiplication tables defined on the set G = {a,b,c,d}
form a group? Support your answer in each case.
a.
C.
a
a
a
с
b b b с
с
с
d d
O
b c d
d a
d
a
b
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૧ | ૧
d a b
b
a
с
с
d
с
с с d
a
dd a b
U
с
d
d
a
b
с
b.
d.
o a b
a a b
११
O
с с d a b
d d
a
b
|
с d
с d
a d с
с
с
d d
C
с
” ૧
a b с d
a b
с d
b
a с
d
b a d
d b
с
Transcribed Image Text:2. Which of the following multiplication tables defined on the set G = {a,b,c,d} form a group? Support your answer in each case. a. C. a a a с b b b с с с d d O b c d d a d a b a a b ૧ | ૧ d a b b a с с d с с с d a dd a b U с d d a b с b. d. o a b a a b ११ O с с d a b d d a b | с d с d a d с с с d d C с ” ૧ a b с d a b с d b a с d b a d d b с
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