A determinant for rectangular matrices

Author:

Joshi V.N.

Abstract

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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference9 articles.

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2. A generalized inverse for matrices

3. A Characterization for Generalized Inverses of Matrices

4. Applications of an inequality for the Schur complement

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