MATH 220 Lecture Notes - Lecture 4: Row Echelon Form, Elementary Matrix, Augmented Matrix
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Math 220 lecture 4 1. 2 row reduction (continued) You will be given a system of linear equations, for example: 1 + 32 23 + 25 = 0. 21 + 62 53 24 + 45 36 = 1. Step 1: you want to convert this linear system into an augmented matrix. An augmented matrix does not include variables, only the coefficients and the value following the equal sign. *notice this is the same matrix we had before. Step 2: next, you have to perform the elementary row operations to obtain the reduced row echelon form of the matrix. *remember that there is only one unique reduced row echelon form for every matrix. From the previous example, the reduced row echelon form is: Step 3: after obtaining the reduced row echelon form, we revert the matrix back to the linear system using the previous variables.
