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    The principal rank characteristic sequence over various fields

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    Date
    2014
    Author
    Barrett, Wayne
    Butler, Steve
    Catral, Minnie
    Fallat, Shaun
    Hall, Tracy
    Hogben, Leslie
    van den Driessche, Pauline
    Young, Michael
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    URI
    http://hdl.handle.net/10294/5688
    Abstract
    Given an n-by-n matrix, its principal rank characteristic sequence is a sequence of length n + 1 of 0s and 1s where, for k = 0; 1,..., n, a 1 in the kth position indicates the existence of a principal submatrix of rank k and a 0 indicates the absence of such a submatrix. The principal rank characteristic sequences for symmetric matrices over various fields are investigated, with all such attainable sequences determined for all n over any field with characteristic 2. A complete list of attainable sequences for real symmetric matrices of order 7 is reported.
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    Contact Us | Send Feedback | Archer Library | University of Regina