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LEADER: 04677cam 2200373Ia 4500
001 ocn711046516
003 OCoLC
005 20201109040255.0
008 110404t20122012maua 000 0 eng d
040 $aYDXCP$beng$cYDXCP$dUPM$dBTCTA$dNTE$dOCLCF$dOCLCQ$dVYT$dCUS
019 $a711043145$a978155405
020 $a0321388836
020 $a9780321388834
035 $a(OCoLC)711046516$z(OCoLC)711043145$z(OCoLC)978155405
050 4 $aQA184.2$b.L39 2012 suppl.
082 14 $a512.5$bL426s4
100 1 $aLay, David C.,$eauthor.
245 10 $aStudy guide, Linear algebra and its applications, fourth edition, David C. Lay /$cDavid C. Lay, Judith McDonald.
246 14 $aLinear algebra :$bstudy guide
264 1 $aBoston, Mass. :$bAddison-Wesley,$c[2012]
264 4 $c©2012
300 $a1 volume (various pagings) :$billustrations ;$c26 cm
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
338 $avolume$bnc$2rdacarrier
505 0 $aMachine generated contents note: ch. 1 Linear Equations in Linear Algebra -- 1.1. Systems of Linear Equations -- 1.2. Row Reduction and Echelon Forms -- 1.3. Vector Equations -- 1.4. The Matrix Equation Ax = b -- 1.5. Solution Sets of Linear Systems -- 1.6. Applications of Linear Systems -- 1.7. Linear Independence -- 1.8. Introduction to Linear Transformations -- 1.9. Matrix of a Linear Transformation -- 1.10. Linear Models in Business, Science, and Engineering -- Supplementary Exercises -- Glossary Checklist -- ch. 2 Matrix Algebra -- 2.1. Matrix Operations -- 2.2. The Inverse of a Matrix -- 2.3. Characterization of Invertible Matrices -- 2.4. Partitioned Matrices -- 2.5. Matrix Factorizations -- 2.6. The Leontief Input-Output Model -- 2.7. Applications to Computer Graphics -- 2.8. Subspaces of Rn -- 2.9. Dimension and Rank -- Supplementary Exercises -- Glossary Checklist -- ch. 3 Determinants -- 3.1. Introduction to Determinants -- 3.2. Properties of Determinants -- 3.3. Cramer's Rule, Volume and Linear Transformations -- Glossary Checklist -- ch. 4 Vector Spaces -- 4.1. Vector Spaces and Subspaces -- 4.2. Null Spaces, Column Spaces, and Linear Transformations -- 4.3. Linearly Independent Sets; Bases -- 4.4. Coordinate Systems -- 4.5. The Dimension of a Vector Space -- 4.6. Rank -- 4.7. Change of Basis -- 4.8. Applications to Difference Equations -- 4.9. Applications to Markov Chains -- Glossary Checklist -- ch. 5 Eigenvalues and Eigenvectors -- 5.1. Eigenvectors and Eigenvalues -- 5.2. The Characteristic Equation -- 5.3. Diagonalization -- 5.4. Eigenvectors and Linear Transformations -- 5.5.Complex Eigenvalues -- 5.6. Discrete Dynamical Systems -- 5.7. Applications to Differential Equations -- 5.8. Iterative Estimates for Eigenvalues -- Glossary Checklist -- ch. 6 Orthogonality and Least Squares -- 6.1. Inner Product, Length, and Orthogonality -- 6.2. Orthogonal Sets -- 6.3. Orthogonal Projections -- 6.4. The Gram-Schmidt Process -- 6.5. Least-Squares Problems -- 6.6. Applications to Linear Models -- 6.7. Inner Product Spaces -- 6.8. Applications of Inner Product Spaces -- Glossary Checklist -- ch. 7 Symmetric Matrices and Quadratic Forms -- 7.1. Diagonalization of Symmetric Matrices -- 7.2. Quadratic Forms -- 7.3. Constrained Optimization -- 7.4. The Singular Value Decomposition -- 7.5. Applications to Image Processing and Statistics -- Supplementary Exercises -- Glossary Checklist -- ch. 8 The Geometry of Vector Spaces -- 8.1. Affine Combinations -- 8.2. Affine Independence -- 8.3. Convex Combinations -- 8.4. Hyperplanes -- 8.5. Polytopes -- 8.6. Curves and Surfaces -- Glossary Checklist -- TECHNOLOGY INDEX OF PRODCEDURES AND TERMS -- APPENDICES -- Introduction TO MATLAB -- Getting Started With Matlab -- Script M-Files -- Index of Matlab Commands -- Notes For the Maple Computer Algebra System -- Getting Started With Maple -- Study Guide Notes -- Index of Maple Commands -- Notes For the Mathematica Computer Algebra System -- Getting Started With Mathematica -- Study Guide Notes -- Index of Mathematica Commands -- Notes For the Ti-83+/84+/89 Graphic Calculators -- Getting Started with a TI-83+ Calculator -- Getting Started with a TI-84+ (MathPrint) Calculator -- Getting Started with a TI-89 Calculator -- Study Guide Notes -- Index of TI-83+ and TI-84+ (MP) Commands.
650 0 $aAlgebras, Linear.
650 7 $aAlgebras, Linear.$2fast$0(OCoLC)fst00804946
700 1 $aMcDonald, Judith,$eauthor.
700 1 $aLay, David C.$tLinear algebra and its applications.
938 $aBaker and Taylor$bBTCP$nBK0009727148
938 $aYBP Library Services$bYANK$n3674494
994 $aZ0$bP4A
948 $hNO HOLDINGS IN P4A - 28 OTHER HOLDINGS