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Lenders PM, Xue J. Factorization of singular integer matrices. 2008.
Please use this identifier to cite or link to this item: http://e-publications.une.edu.au/1959.11/2925
Factorization of singular integer matrices
It is well known that a singular integer matrix can be factorized into a product of integer idempotent matrices. In this paper, we prove that every 'n × n (n > 2)' singular integer matrix can be written as a product of 3n + 1 integer idempotent matrices. This theorem has some application in the field of synthesizing VLSI arrays and systolic arrays.