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Advances in Applied Clifford Algebras

, Volume 23, Issue 1, pp 253–267 | Cite as

On the Heights of Quaternionic Vectors

  • Bu-Liao Wang
  • Liang-Gui Feng
Article
  • 102 Downloads

Abstract

In this paper, we introduce a new numerical character, namely the height, for a quaternionic vector. According to this new concept (height), we give a complete classification of quaternionic vectors and enumerate all possible row echelon forms of the associated matrices for each type of the quaternionic vectors. By observing a link which the height has with the system of Cartesian frames, we give the character descriptions for several types of the systems of Cartesian frames.

Keywords

Quaternion rank row echelon form rotation 

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Copyright information

© Springer Basel AG 2012

Authors and Affiliations

  1. 1.Department of Mathematics and Systems ScienceNational University of Defense TechnologyChangshaP.R. China

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