MATHEMATICA tutorial, Part 2.1: Determinant
www.cfm.brown.edu › people › dobrushNov 09, 2021 · The determinant of a square n × n matrix is calculated as the sum of n ! terms, where every other term is negative (i.e. multiplied by -1), and the rest are positive. For the The determinant is a special scalar-valued function defined on the set of square matrices. Although it still has a place in many areas of mathematics and physics, our ...
Determinant - Wikipedia
https://en.wikipedia.org/wiki/DeterminantIn mathematics, the determinant is a scalar value that is a function of the entries of a square matrix.It allows characterizing some properties of the matrix and the linear map represented by the matrix. In particular, the determinant is nonzero if and only if the matrix is invertible and the linear map represented by the matrix is an isomorphism.
Determinant -- from Wolfram MathWorld
mathworld.wolfram.com › DeterminantJan 19, 2022 · Determinants are mathematical objects that are very useful in the analysis and solution of systems of linear equations. As shown by Cramer's rule, a nonhomogeneous system of linear equations has a unique solution iff the determinant of the system's matrix is nonzero (i.e., the matrix is nonsingular). For example, eliminating x, y, and z from the equations a_1x+a_2y+a_3z = 0 (1) b_1x+b_2y+b_3z ...
Determinant -- from Wolfram MathWorld
https://mathworld.wolfram.com/Determinant.html19.01.2022 · Determinants are mathematical objects that are very useful in the analysis and solution of systems of linear equations. As shown by Cramer's rule, a nonhomogeneous system of linear equations has a unique solution iff the determinant of the system's matrix is nonzero (i.e., the matrix is nonsingular). For example, eliminating x, y, and z from the equations …