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Traces of a Class Of (0, 1)-Matrices

Published online by Cambridge University Press:  20 November 2018

Dale M. Mesner
Dale M. Mesner*
Affiliation:
Purdue University, Lafayette, Indiana
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If A = (aij) is a matrix whose elements are 0's and l's, more briefly a (0, l)-matrix, the trace of A, defined as the sum of the diagonal elements aii and denoted by Tr A, is the number of l's on the main diagonal. Matrices which can be obtained from A by permutation of its rows or of its columns, or both, may be expressed as PA, AQ, or PAQ, respectively, where P and Q are permutation matrices.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 16 , 1964 , pp. 82 - 93
Copyright
Copyright © Canadian Mathematical Society 1964

References

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