### Abstract

Necessary and sufficient conditions are given for a commutative ring ℝ to be a ring over which every regular matrix can he completed to an invertible matrix of a particular size by hordering. Such rings are precisely the protective free rings. Also, over such rings every regular matrix has a rank factorization. Using the bordering technique, we give an interesting method of computing minors of a reflexive g-inverse G of a regular matrix A when I - AC and I - GA have rank factorizations.

Original language | English |
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Pages (from-to) | 245-259 |

Number of pages | 15 |

Journal | Linear Algebra and Its Applications |

Volume | 234 |

Issue number | 0 |

Publication status | Published - 1996 |

### All Science Journal Classification (ASJC) codes

- Algebra and Number Theory
- Numerical Analysis
- Geometry and Topology
- Discrete Mathematics and Combinatorics

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## Cite this

Manjunatha Prasad, K., & Bhaskara Rao, K. P. S. (1996). On bordering of regular matrices.

*Linear Algebra and Its Applications*,*234*(0), 245-259.