Fsc Part 1 Mathematics (Complete Solution)

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Q1

Operation ⊕ performed on the two-member set G={0,1} is shown in the adjoining table.Answer the questions

⊕ |
0 |
1 |

0 |
0 |
1 |

1 |
1 |
0 |

**(i) Name the identity element if it exists?**

**(ii) What is the inverse of I?**

**(iii) Is the set G, under the given operation a group?**

** Abelian or non-Abelian?**

SOLUTION:

(i) Ans: 0

(ii) Ans: 1

(iii) Yes, G is a group and it is abelian.