Consider the following statements regarding $2D$ transforms in computer graphics:
$S1: \: \begin{bmatrix} 1 & 0 \\ 0 & -1 \end{bmatrix} $ is a $2 \times 2$ matrix that reflects (mirrors) only $2D$ point about the X-axis.
$S2:$ A $2 \times 2$ matrix which mirrors any $2D$ point about the $X$-axis, is a rotation matrix.
What can you say about the statements $S1$ and $S2$?
- Both $S1$ and $S2$ are true
- Only $S1$ is true
- Only $S2$ is true
- Both $S1$ and $S2$ are false