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On the number of Independent Conditions involved in the vanishing of a Rectangular Array

Published online by Cambridge University Press:  20 January 2009

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1. The notation for a rectangular array can be extended so as to admit of arrays in which the number of rows exceeds the number of columns.

Let

denote the aggregate of all determinants of the mth order which can be formed from the rectangular array of pq elements by deleting p – m columns and q – m rows.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1905