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Here is a simple setup of a manipulation and reflection matrix in 2D space. By using a reflection matrix, we can determine the coordinates of the point ... , the reflected image of the point ... in the line defined by the vector ... from the origin. The projection of ... onto the line is ... . The point ... is then determined by extending the segment ... by ... . As vectors, ... . If ... is normalized (so that ... , the reflection matrix is ... . Then ... , that is, the reflection of a reflection is the identity. Also, ... .

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      EUN,LOM,LRE4,work-cmr-id:397885,http://demonstrations.wolfram.com:http://demonstrations.wolfram.com/ReflectionMatrixIn2D/,ilox,learning resource exchange,LRE metadata application profile,LRE

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