Enumeration of matrices of given rank with submatrices of given rank |
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| Authors: | L Carlitz John H Hodges |
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| Institution: | Duke University Durham, North Carolina 27706, USA;Clemson University Clemson, South Carolina 29631, USA;University of Colorado Boulder, Colorado 80302, USA |
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| Abstract: | The authors determine the number of (n+m)×t matrices A1 of rank r+v, over a finite field GF(q), whose last m rows are those of a given matrix A of rank r+v over GF(q) and whose first n rows have a given rank u. |
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