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Graphs and determinants

Published online by Cambridge University Press:  22 September 2016

J. V. Greenman
J. V. Greenman*
Affiliation:
University of Essex, Wivenhoe Park, Colchester CO4 3SQ
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Extract

I would like to present a method for calculating determinants based on the notion of a graph (or network), a notion that is familiar to many pupils taking a modern mathematics course. The method involves four steps: (i) drawing the graph of the matrix; (ii) identifying certain subgraphs called Δ subgraphs; (iii) associating a number called a weight to each of these subgraphs; (iv) adding the weights to obtain the determinant. Let us take each of these steps in turn.

Information

Type
Research Article
Information
The Mathematical Gazette , Volume 60 , Issue 414 , December 1976 , pp. 241 - 246
Copyright
Copyright © Mathematical Association 1976

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References

1. Mason, S. J., Feedback theory—some properties of signal flow graphs, Proc. Inst. Radio Engrs 41,1144–1156(1953).Google Scholar
2. Coates, C. L., Flow graph solutions of linear algebraic equations, Trans. Inst. Radio Engrs CT-6, 170–187 (1959).Google Scholar
3. Chen, W. K., Applied graph theory. North-Holland (1971).Google Scholar
4. Lorens, C. S., Flowgraphs. McGraw-Hill (1964).Google Scholar