4 The set \(S\) is defined as \(S = \{ 1,2,3,4 \}\)
4
- Complete the Cayley Table shown below for \(S\) under the binary operation multiplication modulo 5
| \(\times _ { 5 }\) | 1 | 2 | 3 | 4 |
| 1 | | | | |
| 2 | | | | |
| 3 | | | | |
| 4 | | | | |
- State the identity element for \(S\) under multiplication modulo 5
4
- State the self-inverse elements of \(S\) under multiplication modulo 5