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On certain Theorems in Determinants

Published online by Cambridge University Press:  20 January 2009

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The object of this note is to show that, in applying the methods of hypercomplex numbers to the theory of determinants, there is, for many purposes, no gain in using a particular number system.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1909

References

* A full discussion of the matrices S(A) whose co-ordinates are rational functions of the co-ordinates of the matrix A, and which possess the property S(AB) = S(A)S(B), is given by I. Schur Über eine Klasse von Malrizen die sich einer gegebenen Matrix zuordnen lassen (Berlin, 1901), where further references to the literature will be found.