Let $\text{R}$ be a relation from a set $\text{A}$ to a set $\text{B}.$ The inverse relation from $\text{B}$ to $\text{A},$ denoted by $\text{R}^{-1},$ is the set of ordered pairs $\{(b,a) \mid (a,b) \in R\}$.
- $\text{S1: R}$ is reflexive relation iff $\text{R}^{-1} = \text{R}$
- $\text{S2: R}$ is a symmetric relation iff $\text{R}^{-1} = \text{R}$
Which one of the following statements is true?
- Only $\text{S1}$
- Only $\text{S2}$
- Both $\text{S1}$ and $\text{S2}$
- None of the above
