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

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== Matrix representation ==
A dual-complexquaternion numberof the form <math>q = A + Bi + C\varepsilon j + D\varepsilon k</math> has the following representation as a 2x2 complex matrix:
<math display="block">\begin{pmatrix}A + Bi & C + Di \\ 0 & A - Bi \end{pmatrix}.</math>