MTH 222 Lecture Notes - Lecture 1: Gaussian Elimination, Row Echelon Form
30 Aug 2016
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Document Summary
Given a set of equations, use gaussian elimination to find a solution, if there is one. Gaussian elimination is a method of getting a system into echelon form. Gaussian elimination is a set of methods defined by the following: Add a non-zero constant multiple of a row to a different row. Given a system in which x is the leading variable of row r, there must be no row above row r in which the leading variable is also x . The system on the left is in echelon form because the leading variable is not the same in any equation. There is no row in which the leading variable is further left or the same. The equation on the right has two equations in which the leading variable is x , meaning it is not in echelon form. Example of gaussian elimination: mult by four mult by -1, add to mult by -2, switch row 3 and row 4.
