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The applicability of the Law of Extensible Minors to determinants of special form

Published online by Cambridge University Press:  20 January 2009

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In a paper published in 1897 it was suggested that the Law of Extensible Minors was applicable to Kronecker's linear relation between the n-line minors of an axisymmetric determinant of the (2n)th order, the concluding sentence of the passage being— “For example, knowing from Kronecker that

if the terms be minors of the axisymmetric determinant

we can at once vouch for the identity

in connection with the axisymmetric determinant

No proof was given, as the matter turned up quite incidentally, and verification of the cases made use of was all that was necessary.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1901

References

* Muir, T.The automorphic linear transformation of a quadric. Transactions Roy. Soc. Edinburgh, XXXIX. [pp. 209230] p. 226.Google Scholar