This is written as r i⟵⟶r jwhich indicates that rows i and j are interchanged. Interchange: Interchanging the locations of two rows.This is written sr i⟶r i, which indicates that row i is modified by multiplying it by a scalar s. Scaling: Multiplying a row by a scalar (meaning, multiplying every element in the row by the same scalar).They are both based on the observation that systems of equations are equivalent if they have the same solution set and performing simple operations on the rows of a matrix, known as the Elementary Row Operations or (EROs). There are two methods of solving systems of linear equations are:
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