suivant: Gauss-Jordan reduction: rref gaussjord
monter: Linear systems
précédent: Matrix of a system
Table des matières
ref is used to solve a linear system of equations written in
Gauss reduction of a matrix : ref
The argument of ref is the augmented matrix of the system
(the matrix obtained by augmenting the matrix A to the right with
the column vector B).
The result is a matrix [A1,B1] where A1 has zeros
under its principal diagonal, and the solutions of:
are the same as the solutions of:
For example, solve the system :
Hence the solution is y = 4 (last row) and x = - 2 (substitute y
in the first row).
giac documentation written by Renée De Graeve and Bernard Parisse