Reflection Matrix in 2D

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

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, .


Contributed by: Jonathan Barthelet (March 2011)
Open content licensed under CC BY-NC-SA



Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.