The determinant is a scalar-valued function of the entries of a square matrix, commonly denoted det(A), with properties that make it fundamental to the study of square matrices and the linear transformations they represent. A square matrix is invertible exactly when its determinant has a multiplicative inverse, and for matrices over a field this means the determinant is nonzero; the determinant of a product of square matrices equals the product of their determinants. Determinants occur throughout mathematics, from Cramer's rule for solving linear systems to computing areas, volumes and orientation in geometry. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/
Facts
Origin YearIndependently originated a decade later by Leibniz in 1693; 1683, the earlier of the two parallel origins per the cited source, is recorded here. Connections
Associated With
Matrix, Concepts The determinant is a function computed from the entries of a square matrix, so its subject is the matrix concept itself.
Additional Source Determinant (Wikipedia)Lead section
In Branch
Sources
1. Determinant (Wikipedia)
Wikimedia FoundationLead section
the determinant is a scalar-valued function of the entries of a square matrix that has many properties which make it fundamental for the study of square matrices and linear transformations represented by them
History section, origin year
Determinants proper originated separately from the work of Seki Takakazu in 1683 in Japan and parallelly of Leibniz in 1693.
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