Gauss Jordan method

• The Gauss-Jordan method is a technique used to solve systems of linear equations by manipulating an augmented matrix.
• The augmented matrix is a matrix that contains the coefficients of the system of linear equations and the constants in the form of a matrix.
• The method involves using row operations to transform the augmented matrix into a row echelon form or reduced row echelon form.
• The row echelon form is a matrix where the leading coefficient of each row is to the right of the leading coefficient of the row above it.
• The reduced row echelon form is a matrix where each leading coefficient is equal to 1, and all other entries in the column containing the leading coefficient are zero. 
• The reduced row echelon form is unique for each matrix, and it can be used to solve the system of linear equations.