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A determinant for rectangular matrices

Published online by Cambridge University Press:  17 April 2009

V.N. Joshi
V.N. Joshi
Affiliation:
Victoria Jubilee Technical Institute, H.R. Mahajani Marg, Matunga, Bombay 400 019, India.
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Abstract

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The familiar notion of the determinant is generalised to include rectangular matrices. An expression for a normalised generalised inverse of a matrix is given in terms of its determinant and a possible generalisation of the Schur complement is discussed as a simple application.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 21 , Issue 1 , February 1980 , pp. 137 - 146
Copyright
Copyright © Australian Mathematical Society 1980

References

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