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A note on skew-symmetric determinants

Published online by Cambridge University Press:  20 January 2009

Walter Ledermann
Walter Ledermann
Affiliation:
School of Mathematical and Physical Sciences, University of Sussex, Falmer, Brighton, Sussex, United Kingdom
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Abstract

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A short proof, based on the Schur complement, is given of the classical result that the determinant of a skew-symmetric matrix of even order is the square of a polynomial in its coefficients.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 36 , Issue 2 , June 1993 , pp. 335 - 338
Copyright
Copyright © Edinburgh Mathematical Society 1993

References

REFERENCES

1.Cohn, P. M., Algebra I (J. Wiley & Sons, 1974).Google Scholar
2.Horn, R. H. and Johnson, C. R., Matrix Analysis (Cambridge University Press, 1990).Google Scholar
3.Kowalewski, G., Einführung in die Determinantentheorie (W. de Gruyter, 1925).Google Scholar
4.Turnbull, H. H., The Theory of Determinants, Matrices and Invariants (Blackie & Son, 1929).Google Scholar