Solvability of linear equations and rank-function

K. Manjunatha Prasad

doi:10.1080/00927879708825854

Solvability of linear equations and rank-function

K. Manjunatha Prasad

Department of Applied Statistics and Data Science, Prasanna School of Public Health, Manipal

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

In this paper, we consider an m × n regular matrix A over a commutative ring A (-a matrix whose range is direct summand of A ^m) and a necessary and sufficient condition in terms of determinantal rank is obtained for solvability of Ax = b. In the light of this result we define rank-function for matrices.

Original language	English
Pages (from-to)	297-302
Number of pages	6
Journal	Communications in Algebra
Volume	25
Issue number	1
DOIs	https://doi.org/10.1080/00927879708825854
Publication status	Published - 1997

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1080/00927879708825854

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Solvability of linear equations and rank-function

Abstract

All Science Journal Classification (ASJC) codes

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