Advances in Applied Clifford Algebras

, Volume 24, Issue 3, pp 805–807 | Cite as

On the Determinant-like Function and the Vector Determinant

  • Abhimanyu Pallavi SudhirEmail author


A generalisation of the determinant to rectangular matrices, known as the determinant-like function, has its magnitude defined previously. In this paper, we show that the determinant-like function is a rotation of the vector determinant.We further propose that this rotation is an identity transformation and thus the determinant-like function is in fact the same as the vector determinant. From this, we derive some properties of the determinant-like function.


Linear algebra clifford algebra exterior algebra 


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Copyright information

© Springer Basel 2014

Authors and Affiliations

  1. 1.Dhirubhai Ambani International SchoolBombayIndia

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