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On the Determinant-like Function and the Vector Determinant


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.

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Correspondence to Abhimanyu Pallavi Sudhir.

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Pallavi Sudhir, A. On the Determinant-like Function and the Vector Determinant. Adv. Appl. Clifford Algebras 24, 805–807 (2014).

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  • Linear algebra
  • clifford algebra
  • exterior algebra