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The transformation matrix for mirroring a point in $x – y$ plane about the line $y=x$ is given by

- $\begin{bmatrix} 1 & 0 \\ 0 & -1 \end{bmatrix} \\$
- $\begin{bmatrix} -1 & 0 \\ 0 & 1 \end{bmatrix} \\$
- $\begin{bmatrix} 0 & 1 \\ 1 & 0 \end{bmatrix} \\$
- $\begin{bmatrix} 0 & -1 \\ -1 & 0 \end{bmatrix}$

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