1.2: ECHELON FORM

1.2: ECHELON FORM



rowbnechelonbnformbn-bnanswers--
Thebnformbnofbnabnmatrixbnwithbnthebnfollowingbnproperties:bn1.bnAllbnnonzerobnrowsbnarebnabovebnany
bnrowsbnofbnallbnzeros.bn2.bnEachbnleadingbnentrybnofbnabnrowbnisbninbnabncolumnbntobnthebnrightbnofbnt
hebnleadingbnentrybnofbnthebnrowbnabovebnit.bn3.bnAllbnentriesbninbnabncolumnbnbelowbnabnleadingbnent
rybnarebnzeros.



reducedbnrowbnechelonbnformbn-bnanswers--
Thebnformbnofbnabnmatrixbnwithbnthebnpropertiesbnofbnrowbnechelonbnformbnasbnwellbnas:bn1.bnThebnlea
dingbnentrybninbneachbnnonzerobnrowbnisbn1bnandbn2.bnEachbnleadingbn1bnisbnthebnonlybnnonzerobnentry
bninbnitsbncolumn.




echelonbnmatrixbn-bnanswers--Abnmatrixbninbnechelonbnform



reducedbnechelonbnmatrixbn-bnanswers--Abnmatrixbninbnreducedbnechelonbnform



rowbnreductionbn-bnanswers--Transformationbnbybnelementarybnrowbnoperations



pivotbnpositionbn-bnanswers--
abnlocationbninbnmatrixbnAbnthatbncorrespondsbntobnabnleadingbn1bninbnthebnreducedbnechelonbnformbno
fbnA



pivotbncolumnbn-bnanswers--abncolumnbnofbnmatrixbnAbnthatbncontainsbnabnpivotbnposition



pivotbn-bnanswers--
abnnonzerobnnumberbninbnabnpivotbnpositionbnthatbnisbnusedbnasbnneededbntobncreatebnzerosbnviabnrow
bnoperations