MATH 1P11 Lecture Notes - Lecture 4: Row Echelon Form, Gaussian Elimination
20 Oct 2018
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Solving matrices are made easier by following algorithms (much like a computer) to turn the matrix into a simpler form, such as. We can determine what the solutions are just by inspecting this matrix. This is how the row echelon form looks like: This is how the reduced row echelon form looks like: To be in the reduced row echelon form, the matrix must satisfy all of the following properties. The row echelon form only needs to have the first three properties: The first non-zero number in a row must be 1. Rows that only contains zeros are grouped together at the bottom of the matrix. Two successive rows that have non-zero numbers should have the leading 1 of the lower row farther to the right than the leading 1 of the higher row. Each column that has a leading 1 must have zeroes everywhere else in that column. Follow these steps to reach row echelon form:
