Solvability of linear equations and rank-function

Research output: Contribution to journalArticle

2 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 languageEnglish
Pages (from-to)297-302
Number of pages6
JournalCommunications in Algebra
Volume25
Issue number1
Publication statusPublished - 1997

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Solvability
Linear equation
Commutative Ring
Necessary Conditions
Sufficient Conditions
Range of data

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

Cite this

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Solvability of linear equations and rank-function. / Prasad, K. Manjunatha.

In: Communications in Algebra, Vol. 25, No. 1, 1997, p. 297-302.

Research output: Contribution to journalArticle

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