The forward elimination step refers to the row reduction needed to simplify the matrix in question into its echelon form. These two Gaussian elimination method steps are differentiated not by the operations you can use through them, but by the result they produce. This technique is also called row reduction and it consists of two stages: Forward elimination and back substitution. Gaussian elimination is the name of the method we use to perform the three types of matrix row operations on an augmented matrix coming from a linear system of equations in order to find the solutions for such system. Solving a linear system with matrices using Gaussian eliminationĪfter a few lessons in which we have repeatedly mentioned that we are covering the basics needed to later learn how to solve systems of linear equations, the time has come for our lesson to focus on the full methodology to follow in order to find the solutions for such systems.
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