Cramer’s rule for nonsingular m × n matrices

Azamat Akhtyamov; Meirav Amram; Miriam Dagan; Artour Mouftahkov

Cramer’s rule for nonsingular m × n matrices

Azamat Akhtyamov, Meirav Amram, Miriam Dagan, Artour Mouftahkov

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

2 Scopus citations

Abstract

In linear algebra, Cramer’s rule is an explicit formula for the solution of a system of linear equations with as many equations as unknowns, that is, for the solution of a system with a square matrix. In this paper we want to generalize this method for an m × n system of linear equations, such that m < n. We offer a simple and convenient formula for systems with rectangular matrices using only the minors of the augmented matrix, as well as the usual method of Cramer. We also generalize the results in order to solve a matrix equation.

Original language	English
Pages (from-to)	13-19
Number of pages	7
Journal	Teaching of Mathematics
Volume	20
Issue number	1
State	Published - 2017
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2017, Drustvo Matematicara Srbije. All rights reserved.

Keywords

Augmented matrix
Cramer’s rule
Linear algebra
Matrix
Minors

Cite this

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AU - Dagan, Miriam

AU - Mouftahkov, Artour

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KW - Cramer’s rule

KW - Linear algebra

KW - Matrix

KW - Minors

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ER -

Cramer’s rule for nonsingular m × n matrices

Abstract

Bibliographical note

Keywords

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