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Identities involving powers of persymmetric determinants

Published online by Cambridge University Press:  24 October 2008

T. W. Cusick
T. W. Cusick
Affiliation:
Churchill College, Cambridge
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Extract

Our main result is that the fourth power of the determinant of an arbitrary m by m persymmetric matrix is identically equal to the determinant of a certain 2m by 2m skew-symmetric matrix. Having proved this, we derive several other identities involving powers of persymmetric determinants.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 65 , Issue 2 , March 1969 , pp. 371 - 376
Copyright
Copyright © Cambridge Philosophical Society 1969

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References

REFERENCE

(1)Kowalewski, Gerhard. Determinantentheorie (Chelsea, New York, 1948).Google Scholar