MATH 211 Lecture Notes - Lecture 2: Row Echelon Form, Xz, Augmented Matrix
19 Oct 2018
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Last time linear equations in linear equations in one two variable. G possibilities) variables graphical interpretation hooking for multiple lines intersect for solution ) elementary row operations linear. Row echelon form if all zeros on bottom row first non zero entry on each row is. I called leading "t for that row ) Each leading i is to the night of all leading rows above it. Each heading i is only non zero entry number because column its in. Goal is to be able to just read off solution. C advantage ) these would all be in rref zero ff. Xs no qq. y. nrgwsrormcoo. ro/hihenweknow leading one leading variables variables associated. Ando non leading :x , enxs qq. gg?gg: we associate parameters to non. E then we solve for leading variables in terms of parameters. 42124 ( now in r. ee) z l l i o. !3! add multiple of row to another: rank : number of leading ones in it.
Ā , whereĀ a, b, c, andĀ dĀ are constants (integers between ā 5 and 5). For example,Ā 
Ā . Perform row operations on your system to obtain a row-echelon form and the solution.
Ā ofĀ xĀ andĀ y, for example,Ā 
Ā in the example above. Geogebra automatically interprets this way, that is, likeĀ 
Ā , it isolatesĀ zĀ in the equation.
Ā . Of course, you can use GeoGebra to āobserveā the system.