Determine the transformation matrix for the reflection, Computer Graphics

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Determine the transformation matrix for the reflection about the line y = x.

Solution: The transformation for mirror reflection regarding to the line y = x, comprises the subsequent three basic transformations.

2217_Determine the Transformation Matrix for the Reflection 1.png

1) Rotate the line L via 45^o in clockwise rotation,

2) Perform the needed Reflection about the x-axis.

3) Rotate back the line L via -45^othat is,

2196_Determine the Transformation Matrix for the Reflection 2.png

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