LEADER 04582nam 2200625 450 001 9910460834003321 005 20200520144314.0 010 $a1-118-90962-3 035 $a(CKB)3710000000493640 035 $a(EBL)4435623 035 $a(SSID)ssj0001570656 035 $a(PQKBManifestationID)16221773 035 $a(PQKBTitleCode)TC0001570656 035 $a(PQKBWorkID)14835953 035 $a(PQKB)11001324 035 $a(MiAaPQ)EBC4435623 035 $a(DLC) 2015017737 035 $a(JP-MeL)3000065408 035 $a(PPN)195533615 035 $a(Au-PeEL)EBL4435623 035 $a(CaPaEBR)ebr11169628 035 $a(CaONFJC)MIL902561 035 $a(OCoLC)908311273 035 $a(EXLCZ)993710000000493640 100 $a20160331h20162016 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aLinear algebra $eideas and applications /$fRichard Penney 205 $aFourth edition. 210 1$aHoboken, New Jersey :$cWiley,$d2016. 210 4$dİ2016 215 $a1 online resource (513 p.) 300 $aIncludes index. 311 $a1-118-90958-5 327 $aLinear Algebra; Contents; Preface; Features of the Text; Acknowledgments; About the Companion Website; Chapter 1 Systems of Linear Equations; 1.1 The Vector Space of Matrices; The Space Rn; Linear Combinations and Linear Dependence; What Is a Vector Space?; Why Prove Anything?; Exercises; 1.1.1 Computer Projects; Exercises; 1.1.2 Applications to Graph Theory I; Self-Study Questions; Exercises; 1.2 Systems; Rank: The Maximum Number of Linearly Independent Equations; Exercises; 1.2.1 Computer Projects; Exercises; 1.2.2 Applications to Circuit Theory; Self-Study Questions 327 $aExercises1.3 Gaussian Elimination; Spanning in Polynomial Spaces; Computational Issues: Pivoting; Exercises; Computational Issues: Counting Flops; 1.3.1 Computer Projects; Exercises; Applications to Traffic Flow; Self-Study Questions; Exercises; 1.4 Column Space and Nullspace; Subspaces; Exercises; Computer Projects; Chapter Summary; Chapter 2 Linear Independence and Dimension; 2.1 The Test for Linear Independence; Bases for the Column Space; Testing Functions for Independence; Exercises; 2.1.1 Computer Projects ; Exercises; 2.2 Dimension; Exercises; 2.2.1 Computer Projects 327 $aExercises2.2.2 Applications to Differential Equations; Exercises; 2.3 Row Space and the rank-nullity theorem; Bases for the Row Space; Summary; Computational Issues: Computing Rank; Exercises; 2.3.1 Computer Projects; Exercises; Chapter Summary; Chapter 3 Linear Transformations; 3.1 The Linearity Properties; Exercises; 3.1.1 Computer Projects; Exercises; 3.2 Matrix Multiplication (Composition); Partitioned Matrices; Computational Issues: Parallel Computing; Exercises; 3.2.1 Computer Projects; Exercises; 3.2.2 Applications to Graph Theory II; Self-Study Questions; Exercises 327 $a3.3 Inverses Computational Issues: Reduction versus Inverses; Exercises; 3.3.1 Computer Projects; Exercises; 3.3.2 Applications to Economics; Self-Study Questions; Exercises; 3.4 The LU Factorization; Exercises; 3.4.1 Computer Projects; Exercises; 3.5 The Matrix of a Linear Transformation; Coordinates; Application to Differential Equations; Isomorphism; Invertible Linear Transformations; Exercises; Computer Projects; Exercises; Chapter Summary; Chapter 4 Determinants; 4.1 Definition of the Determinant; 4.1.1 The Rest of the Proofs; Exercises; 4.1.2 Computer Projects 327 $a4.2 Reduction and Determinants Uniqueness of the Determinant; Exercises; 4.2.1 Volume; Exercises; A Formula for Inverses; Exercises; Chapter Summary; Chapter 5 Eigenvectors and Eigenvalues; 5.1 Eigenvectors; Exercises; 5.1.1 Computer Projects; Exercises; 5.1.2 Application to Markov Processes; Exercises; 5.2 Diagonalization; Powers of Matrices; Exercises; 5.2.1 Computer Projects; Exercises; 5.2.2 Application to Systems of Differential Equations; Exercises; 5.3 Complex Eigenvectors; Complex Vector Spaces; Exercises; 5.3.1 Computer Projects; 5.3 Exercises; Chapter Summary 327 $aChapter 6 Orthogonality 606 $aAlgebras, Linear$vTextbooks 608 $aElectronic books. 615 0$aAlgebras, Linear 676 $a512/.5 700 $aPenney$b Richard C.$0872347 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910460834003321 996 $aLinear algebra$91947612 997 $aUNINA