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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
Extract
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.
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- Copyright © Edinburgh Mathematical Society 1901
References
* Muir, T. —The automorphic linear transformation of a quadric. Transactions Roy. Soc. Edinburgh, XXXIX. [pp. 209–230] p. 226.Google Scholar