Linear systems: The Gauss-Jordan methodIntroduction The Gauss-Jordan method is essentiallya shortcut for the Echelon method, and consists ofrepresenting a given linear system as rectangular ta-ble enclosed by brackets (called augmented matrix)without the variables and operators. The first columncontains the coefficients of the first variable, the sec-ond column contains the coefficients of the secondvariable, and so on. But the last column contains theconstants.For Example, the augmented matrix of2x°y=3x+2y=4is∑2 -13124∏The vertical line in the augmented matrix separatesthe constants from the coefficients of the variables.1if