Geodesic
From a linear system through geometry to a determinant
Matematičeskoe obrazovanie, Tome 99 (2021) no. 3, pp. 70-85

Voir la notice de l'article provenant de la source Math-Net.Ru

The article proposes some reasoning that allows us to introduce a definition of the determinant of a matrix (as well as some other concepts) in a natural way. In this case, the properties of the determinant become self-evident. 
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     author = {I. B. Pisarenko and M. I. Zaidel},
     title = {From a linear system through geometry to a determinant},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MO_2021_99_3_a7/}
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I. B. Pisarenko; M. I. Zaidel. From a linear system through geometry to a determinant. Matematičeskoe obrazovanie, Tome 99 (2021) no. 3, pp. 70-85. http://geodesic.mathdoc.fr/item/MO_2021_99_3_a7/