Geodesic
Cramer's rule for nonsingular $m \times n$ matrices
The Teaching of Mathematics, XX (2017) no. 1, p. 13 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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 $m \times n$ 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.
Classification : 97H60 H65
Keywords: Cramer's rule, matrix, minors, linear algebra, augmented matrix 
@article{TM2_2017_XX_1_a1,
     author = {Azamat Akhtyamov and Meirav Amram and Miriam Dagan and Artour Mouftahkov},
     title = {Cramer's rule for nonsingular $m \times n$ matrices},
     journal = {The Teaching of Mathematics},
     pages = {13 },
     publisher = {mathdoc},
     volume = {XX},
     number = {1},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TM2_2017_XX_1_a1/}
}
TY  - JOUR
AU  - Azamat Akhtyamov
AU  - Meirav Amram
AU  - Miriam Dagan
AU  - Artour Mouftahkov
TI  - Cramer's rule for nonsingular $m \times n$ matrices
JO  - The Teaching of Mathematics
PY  - 2017
SP  - 13 
VL  - XX
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TM2_2017_XX_1_a1/
LA  - en
ID  - TM2_2017_XX_1_a1
ER  - 
%0 Journal Article
%A Azamat Akhtyamov
%A Meirav Amram
%A Miriam Dagan
%A Artour Mouftahkov
%T Cramer's rule for nonsingular $m \times n$ matrices
%J The Teaching of Mathematics
%D 2017
%P 13 
%V XX
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TM2_2017_XX_1_a1/
%G en
%F TM2_2017_XX_1_a1
Azamat Akhtyamov; Meirav Amram; Miriam Dagan; Artour Mouftahkov. Cramer's rule for nonsingular $m \times n$ matrices. The Teaching of Mathematics, XX (2017) no. 1, p. 13 . http://geodesic.mathdoc.fr/item/TM2_2017_XX_1_a1/