A D E Given the multiplication table below on (0,1,2,3,4,5,6,7}, which statement best describes problem? O 0 1 2 It is a non-abelian group. posloda HAF 3 4 5 6 7 100 01 1176OF 43 2 3 4 5 67 3 0624 0 3 0 6 7 54 0 6 7 5 2 3 4 1 6 4 1 2 3 0 7 3 4 1 2 6 267 257 5 It is not a group since it has no identity. 515 5 It is not a group since the operation is not associative. It is an abelian group. 4 5 6 7 3 4 1 2 It is not a group since the operation is not binary. 1 2 1 3 7 0 7 5 6 5 0

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
D
E
Given the multiplication table below on (0,1,2,3,4,5,6,7},
which statement best describes problem?
هادات .......
It is a non-abelian group.
O
J
123
ellel-~345
0
0 0 1
1
م سرا -
1
7
2 3 4 5 67
3 4 5 6 7
0624
3
0 3 1 4
21
5 4
1 3 2
2257
It is not a group since it has no identity.
5
0 6 7
5 0 6 7
2 3 4 1
267
4
5
6 6 4 1
7
7 3
4
It is not a group since the operation is not associative.
It is an abelian group.
2 3 0
1 26
It is not a group since the operation is not binary.
7 0 6
7 5
5
0
Transcribed Image Text:D E Given the multiplication table below on (0,1,2,3,4,5,6,7}, which statement best describes problem? هادات ....... It is a non-abelian group. O J 123 ellel-~345 0 0 0 1 1 م سرا - 1 7 2 3 4 5 67 3 4 5 6 7 0624 3 0 3 1 4 21 5 4 1 3 2 2257 It is not a group since it has no identity. 5 0 6 7 5 0 6 7 2 3 4 1 267 4 5 6 6 4 1 7 7 3 4 It is not a group since the operation is not associative. It is an abelian group. 2 3 0 1 26 It is not a group since the operation is not binary. 7 0 6 7 5 5 0
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