On the Determinant-like Function and the Vector Determinant
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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.
KeywordsLinear algebra clifford algebra exterior algebra
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- 2.M. Radic, A Definition of Determinant of Rectangular Matrix, 1(21) (1966), 321–349Google Scholar