UndergraduateTexts in Mathematics
l l l
PeterJ.Olver·ChehrzadShakiban
l l l l l
AppliedLinea l
rAlgebra
l
Second Edition
l
,Undergraduate Texts in Mathematics
l l l
,Undergraduate Texts in Mathematics
l l l
SerieslEditors:
Sheldonl Axler
Sanl Franciscol Statel University,l Sanl Francisco,l CA,l USA
Kennethl Ribet
Universityl ofl California,l Berkeley,l CA,l USA
Advisoryl Board:
Colinl Adams,l Williamsl College
Davidl A.l Cox,l Amherstl College
L.lCraigl Evans,l Universityl ofl California,lBerkeley
PamelalGorkin,lBucknelllUniversitylRog
erlE.lHowe,lYalelUniversitylMichaellOrri
son,lHarveylMuddlCollege
Lisettel G.l del Pillis,l Harveyl Muddl College
Jilll Pipher,l Brownl University
Fadill Santosa,l Universityl ofl Minnesota
UndergraduatelTextslinlMathematicslarelgenerallylaimedlatlthird-landlfourth-
yearlundergraduatelmathematicslstudentslatlNorthlAmericanluniversities.lTheseltextslstriveltolprovidelstud
entslandlteacherslwithlnewlperspectiveslandlnovellapproaches.lThelbookslincludelmotivationlthatlguidesl
thelreaderltolanlappreciationloflinterrelationslamongldifferentlaspectsloflthelsubject.lTheylfeaturelexamp
leslthatlillustratelkeylconceptslaslwelllaslexerciseslthatlstrengthenlunderstanding.
Morel informationl aboutl thisl seriesl atl http://www.springer.com/series/666
, Peter J. Olver • Chehrzad Shakiban
l l l l l
Applied Linear Algebra
l l
Second Edition
l
l l l
PeterJ.Olver·ChehrzadShakiban
l l l l l
AppliedLinea l
rAlgebra
l
Second Edition
l
,Undergraduate Texts in Mathematics
l l l
,Undergraduate Texts in Mathematics
l l l
SerieslEditors:
Sheldonl Axler
Sanl Franciscol Statel University,l Sanl Francisco,l CA,l USA
Kennethl Ribet
Universityl ofl California,l Berkeley,l CA,l USA
Advisoryl Board:
Colinl Adams,l Williamsl College
Davidl A.l Cox,l Amherstl College
L.lCraigl Evans,l Universityl ofl California,lBerkeley
PamelalGorkin,lBucknelllUniversitylRog
erlE.lHowe,lYalelUniversitylMichaellOrri
son,lHarveylMuddlCollege
Lisettel G.l del Pillis,l Harveyl Muddl College
Jilll Pipher,l Brownl University
Fadill Santosa,l Universityl ofl Minnesota
UndergraduatelTextslinlMathematicslarelgenerallylaimedlatlthird-landlfourth-
yearlundergraduatelmathematicslstudentslatlNorthlAmericanluniversities.lTheseltextslstriveltolprovidelstud
entslandlteacherslwithlnewlperspectiveslandlnovellapproaches.lThelbookslincludelmotivationlthatlguidesl
thelreaderltolanlappreciationloflinterrelationslamongldifferentlaspectsloflthelsubject.lTheylfeaturelexamp
leslthatlillustratelkeylconceptslaslwelllaslexerciseslthatlstrengthenlunderstanding.
Morel informationl aboutl thisl seriesl atl http://www.springer.com/series/666
, Peter J. Olver • Chehrzad Shakiban
l l l l l
Applied Linear Algebra
l l
Second Edition
l
