Fsc Part 1 Mathematics (Complete Solution)

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.

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