Q.5 Let ∗′ be the binary operation on the set defined by
. Is the operation ∗′ same as the operation ∗ defined
in Exercise 4 above? Justify your answer.
for
The operation table is as shown below:
| 1 | 2 | 3 | 4 | 5 | |
| 1 | 1 | 1 | 1 | 1 | 1 |
| 2 | 1 | 2 | 1 | 2 | 1 |
| 3 | 1 | 1 | 3 | 1 | 1 |
| 4 | 1 | 2 | 1 | 4 | 1 |
| 5 | 1 | 1 | 1 | 1 | 5 |
The operation ∗′ same as the operation ∗ defined in Exercise 4 above.