A note on Cramer's rule given a class of "singular" matrices

College

Ramon V. Del Rosario College of Business

Department/Unit

Economics

Document Type

Archival Material/Manuscript

Publication Date

2012

Abstract

The original version of Cramer’s rule [on determinants] relies on the hypothesis that in a matrix equation Ax = b, the matrix A is nonsingular. In this paper, we give conditions using the idea in Cramer’s rule, when matric A is singular. A particular class of singular matrices when the order n is at least 3 is presented to illustrate the results.

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Disciplines

Algebra | Mathematics

Keywords

Determinants; Matrices

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