Applications of dual quaternions to 2D geometry: Difference between revisions

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== Matrix representation ==
 
The dual-complex number <math>q=A + Bi + C\varepsilon j + D\varepsilon k</math> has the following representation as a [[Mobius transformation|2x2 complex matrix]]:
 
: <math>\begin{pmatrix}A + Bi & C + Di \\ 0 & A - Bi \end{pmatrix}</math>