Question
For the binary operation $\times _7$ on the set $S = \{1, 2, 3, 4, 5, 6\},$ compute $3^{−1} \times _7 4.$
| $\times _7$ | $1$ | $2$ | $3$ | $4$ | $5$ | $6$ |
| $1$ | $1$ | $2$ | $3$ | $4$ | $5$ | $6$ |
| $2$ | $2$ | $4$ | $6$ | $1$ | $3$ | $5$ |
| $3$ | $3$ | $6$ | $2$ | $5$ | $1$ | $4$ |
| $4$ | $4$ | $1$ | $5$ | $2$ | $6$ | $3$ |
| $5$ | $5$ | $3$ | $1$ | $6$ | $4$ | $2$ |
| $6$ | $6$ | $5$ | $4$ | $3$ | $2$ | $1$ |
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