02166nam a22004335i 4500001001800000003000900018005001700027007001500044008004100059020001800100024003500118050001200153072001500165072002300180072001400203100014800217245009800365250001800463264006900481300003400550336002600584337002600610338003600636347002400672490004700696505017900743520047300922650001701395650002201412650001701434650002001451710003401471773002601505776003601531776003601567776003601603830004701639856004601686978-3-031-68682-5DE-He21320251030112925.0cr nn 008mamaa240831s2024    sz |    s    |||| 0|eng d  a97830316868257 a10.1007/978-3-031-68682-52doi 4aQA1-939 7aPB2bicssc 7aMAT0000002bisacsh 7aPB2thema1 aKhrushchev, Sergey.eauthor.0(orcid)0000-0002-8854-53171https://orcid.org/0000-0002-8854-53174aut4http://id.loc.gov/vocabulary/relators/aut10aLinear Algebra with Applications to Economicsh[electronic resource] /cby Sergey Khrushchev.  a1st ed. 2024. 1aCham :bSpringer Nature Switzerland :bImprint: Springer,c2024.  aXVI, 379 p.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda1 aClassroom Companion: Economics,x2662-28900 aGauss-Jordan Elimination -- Gauss Bases -- Inverse Matrices and Determinants -- Vector Spaces -- Diagonalization -- Inner Product Spaces -- Regression -- References -- Index.  aThis textbook is intended for students of Mathematical Economics and is based on my lectures on Linear Algebra delivered at Satbayev University in Almaty, Kazakhstan. The program closely aligns with that of the London School of Economics. The textbook extensively utilizes the concept of Gauss-Jordan elimination. Every subspace of the standard coordinate space possesses a unique Gauss basis. This observation significantly clarifies many aspects of Linear Algebra. . 0aMathematics. 0aAlgebras, Linear.14aMathematics.24aLinear Algebra.2 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978303168681808iPrinted edition:z978303168683208iPrinted edition:z9783031686849 0aClassroom Companion: Economics,x2662-289040uhttps://doi.org/10.1007/978-3-031-68682-5