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Question -

Construct the composition table for ×5 on set Z5 ={0, 1, 2, 3, 4}



Answer -

Here,

1 ×1= remainder obtained by dividing 1 × 1 by 5

= 1

3 ×4= remainder obtained by dividing 3 × 4 by 5

= 2

4 ×4= remainder obtained by dividing 4 × 4 by 5

= 1

So, the compositiontable is as follows:

×5

0

1

2

3

4

0

0

0

0

0

0

1

0

1

2

3

4

2

0

2

4

1

3

3

0

3

1

4

2

4

0

4

3

2

1

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