MARC Record from marc_columbia

LEADER: 06008cam a2200745 a 4500
001 15120260
005 20210612230331.0
006 m o d
007 cr bn||||||abp
007 cr bn||||||ada
008 170610s2007 flua ob 001 0 eng d
035 $a(OCoLC)ocn989852498
035 $a(NNC)15120260
040 $aOCLCE$beng$epn$cOCLCE$dOCLCO$dIDEBK$dOCLCF$dCRCPR$dOCLCQ$dSFB$dK6U$dOCLCQ
019 $a901198397$a1202483659
020 $a1322667217
020 $a9781322667218
020 $a0429121075
020 $a9780429121074
020 $a1420009931
020 $a9781420009934
020 $z9781584886259$q(acid-free paper)
020 $z1584886250$q(acid-free paper)
035 $a(OCoLC)989852498$z(OCoLC)901198397$z(OCoLC)1202483659
037 $a698003$bMIL
042 $adlr
050 4 $aQA188$b.P59 2007
082 04 $a512.9/434$222
084 $a31.25$2bcl
084 $aSK 220$2rvk
049 $aZCUA
100 1 $aPiziak, Robert.
245 10 $aMatrix theory :$bfrom generalized inverses to Jordan form /$cRobert Piziak, P.L. Odell.
260 $aBoca Raton :$bChapman & Hall/CRC,$c©2007.
300 $a1 online resource (xix, 548 pages) :$billustrations
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
490 1 $aMonographs and textbooks in pure and applied mathematics
504 $aIncludes bibliographical references and index.
505 0 $aIdea of inverse -- Generating invertible matrices -- Subspaces associated to matrices. -- The Moore-Penrose inverse -- Generalized inverses -- Norms -- Inner products -- Projections -- Spectral theory -- Matrix diagonalization -- Jordan Canonical form -- Multilinear matters -- Appendix A: Complex numbers -- Appendix B: Basic matrix operations -- Appendix C: Determinants -- Appendix D: A review of basics.
505 0 $aIDEA OF INVERSE Systems of Linear EquationsThe Special Case of "Square" SystemsGENERATING INVERTIBLE MATRICESA Brief Review of Gauss Elimination with Back SubstitutionElementary MatricesThe LU and LDU FactorizationThe Adjugate of a MatrixThe Frame Algorithm and the Cayley-Hamilton TheoremSUBSPACES ASSOCIATED TO MATRICESFundamental SubspacesA Deeper Look at RankDirect Sums and IdempotentsThe Index of a Square MatrixLeft and Right InversesTHE MOORE-PENROSE INVERSERow Reduced Echelon Form and Matrix EquivalenceThe Hermite Echelon FormFull Rank FactorizationThe Moore-Penrose InverseSolving Systems of Linear EquationsSchur Complements AgainGENERALIZED INVERSESThe {1}-Inverse{1,2}-InversesConstructing Other Generalized Inverses{2}-InversesThe Drazin InverseThe Group InverseNORMSThe Normed Linear Space CnMatrix NormsINNER PRODUCTSThe Inner Product Space CnOrthogonal Sets of Vectors in CnQR FactorizationA Fundamental Theorem of Linear AlgebraMinimum Norm SolutionsLeast SquaresPROJECTIONSOrthogonal ProjectionsThe Geometry of Subspaces and the Algebra of ProjectionsThe Fundamental Projections of a MatrixFull Rank Factorizations of ProjectionsAffine ProjectionsQuotient SpacesSPECTRAL THEORYEigenstuffThe Spectral TheoremThe Square Root and Polar Decomposition TheoremsMATRIX DIAGONALIZATIONDiagonalization with Respect to EquivalenceDiagonalization with Respect to SimilarityDiagonalization with Respect to a UnitaryThe Singular Value DecompositionJORDAN CANONICAL FORMJordan Form and Generalized EigenvectorsThe Smith Normal FormMULTILINEAR MATTERSBilinear FormsMatrices Associated to Bilinear FormsOrthogonalitySymmetric Bilinear FormsCongruence and Symmetric MatricesSkew-Symmetric Bilinear FormsTensor Products of MatricesAPPENDIX A: COMPLEX NUMBERSWhat is a Scalar?The System of Complex NumbersThe Rules of Arithmetic in CComplex Conjugation, Modulus, and DistanceThe Polar Form of Complex NumbersPolynomials over CPostscriptAPPENDIX B: BASIC MATRIX OPERATIONSIntroductionMatrix AdditionScalar MultiplicationMatrix MultiplicationTransposeSubmatricesAPPENDIX C: DETERMINANTSMotivationDefining DeterminantsSome Theorems about DeterminantsThe Trace of a Square MatrixAPPENDIX D: A REVIEW OF BASICSSpanningLinear IndependenceBasis and DimensionChange of BasisINDEX.
520 1 $a"Highlighting the generalized inverse of a matrix and the method of full-rank factorization, Matrix Theory: From Generalized Inverses to Jordan Form probes introductory as well as more sophisticated linear algebra concepts. This presentation helps connect linear algebra to more advanced abstract algebra and matrix theory."--Jacket
588 0 $aPrint version record.
506 $3Use copy$fRestrictions unspecified$2star$5MiAaHDL
533 $aElectronic reproduction.$b[Place of publication not identified] :$cHathiTrust Digital Library,$d2017.$5MiAaHDL
538 $aMaster and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.$uhttp://purl.oclc.org/DLF/benchrepro0212$5MiAaHDL
583 1 $adigitized$c2017$hHathiTrust Digital Library$lcommitted to preserve$2pda$5MiAaHDL
546 $aEnglish.
650 0 $aMatrices$vTextbooks.
650 0 $aAlgebras, Linear$vTextbooks.
650 0 $aMatrix inversion$vTextbooks.
650 7 $aAlgebras, Linear.$2fast$0(OCoLC)fst00804946
650 7 $aMatrices.$2fast$0(OCoLC)fst01012399
650 7 $aMatrix inversion.$2fast$0(OCoLC)fst01012424
650 7 $aMatrizentheorie$2gnd
650 7 $aLinjär algebra.$2sao
650 7 $aMatriser (matematik)$2sao
655 4 $aElectronic books.
655 7 $aTextbooks.$2fast$0(OCoLC)fst01423863
700 1 $aOdell, Patrick L.,$d1930-
776 08 $iPrint version:$aPiziak, Robert.$tMatrix theory.$dBoca Raton : Chapman & Hall/CRC, ©2007$w(DLC) 2006025707$w(OCoLC)70864476
830 0 $aMonographs and textbooks in pure and applied mathematics.
856 40 $uhttp://www.columbia.edu/cgi-bin/cul/resolve?clio15120260$zTaylor & Francis eBooks
852 8 $blweb$hEBOOKS