The calculator uses the Gaussian elemination to transform the matrix step-by-step in row echelon form. If the extended coefficient matrix brought to row echelon form by means of elementary transformations, the solution can be read directly.
Linear Equation System NxN
or in matrix notation
The schematic matrix form is used to show the transformations:
Enter the coefficients: a11, a12, ... und b1, ...
Step by step performing of the Gaussian elimination to get the row echelon form of the matrix.
The entered matrix is:
The solution of the linear equation system is now given in the right column.
Here is a list of of further useful calculators and sites:Index Linear Equations Linear Equation Systems Calculator 2x2 systems Calculator 3x3 systems Calculator NxN Cramer's rule Calculator NxN Gauss method Matrix Determinant