On the dimensions of linear spaces of real matrices of fixed rank

This thesis studies the problem of estimating the largest possible dimension of a linear space of real matrices under the assumption that every non-zero matrix in the space has (the same) fixed rank. The complex version of this problem has been studied by R. Westwick and J. Sylvester. Sylvester intr...

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Bibliographic Details
Main Author: Moseley, P. G.
Published: University of Edinburgh 1997
Subjects:
510
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.659657