Elementary linear algebra

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050 0 0 ‡aQA184 ‡b.K668 2000
082 0 0 ‡a512/.5 ‡221
100 1 ‡aKolman, Bernard, ‡d1932-
245 1 0 ‡aElementary linear algebra.
250 ‡a7th ed. / ‡bBernard Kolman, David R. Hill.
260 ‡aUpper Saddle River, N.J. : ‡bPrentice Hall, ‡cc2000.
300 ‡axv, 568 p. : ‡bill. ; ‡c25 cm.
500 ‡aIncludes index.
505 0 0 ‡g1 ‡tLinear Equations and Matrices ‡g1 -- ‡g1.1 ‡tSystems of Linear Equations ‡g1 -- ‡g1.2 ‡tMatrices; Matrix Operations ‡g8 -- ‡g1.3 ‡tAlgebraic Properties of Matrix Operations ‡g20 -- ‡g1.4 ‡tSpecial Types of Matrices and Partitioned Matrices ‡g29 -- ‡g1.5 ‡tEchelon Form of a Matrix ‡g40 -- ‡g1.6 ‡tElementary Matrices; Finding A[superscript -1] ‡g60 -- ‡g1.7 ‡tEquivalent Matrices ‡g69 -- ‡g1.8 ‡tLU-Factorization (Optional) ‡g73 -- ‡g2 ‡tReal Vector Spaces ‡g84 -- ‡g2.1 ‡tVectors in the Plane and in 3-Space ‡g84 -- ‡g2.2 ‡tVector Spaces ‡g96 -- ‡g2.3 ‡tSubspaces ‡g103 -- ‡g2.4 ‡tSpan and Linear Independence ‡g114 -- ‡g2.5 ‡tBasis and Dimension ‡g125 -- ‡g2.6 ‡tHomogeneous Systems ‡g140 -- ‡g2.7 ‡tCoordinates and Isomorphisms ‡g148 -- ‡g2.8 ‡tRank of a Matrix ‡g164 -- ‡g3 ‡tInner Product Spaces ‡g182 -- ‡g3.1 ‡tStandard Inner Product on R[superscript 2] and R[superscript 3] ‡g182 -- ‡g3.2 ‡tCross Product in R[superscript 3] (Optional) ‡g192 -- ‡g3.3 ‡tInner Product Spaces ‡g199 -- ‡g3.4 ‡tGram-Schmidt Process ‡g213 -- ‡g3.5 ‡tOrthogonal Complements ‡g226 -- ‡g3.6 ‡tLeast Squares (Optional) ‡g243 -- ‡g4 ‡tLinear Transformations and Matrices ‡g253 -- ‡g4.1 ‡tDefinition and Examples ‡g253 -- ‡g4.2 ‡tKernel and Range of a Linear Transformation ‡g265 -- ‡g4.3 ‡tMatrix of a Linear Transformation ‡g281 -- ‡g4.4 ‡tVector Space of Matrices and Vector Space of Linear Transformations (Optional) ‡g291 -- ‡g4.5 ‡tSimilarity ‡g299 -- ‡g4.6 ‡tComputer Graphics (Optional) ‡g306 -- ‡g5 ‡tDeterminants ‡g315 -- ‡g5.1 ‡tDefinition ‡g315 -- ‡g5.2 ‡tProperties of Determinants ‡g320 -- ‡g5.3 ‡tCofactor Expansion ‡g331 -- ‡g5.4 ‡tInverse of a Matrix ‡g338 -- ‡g5.5 ‡tOther Applications of Determinants ‡g343 -- ‡g5.6 ‡tDeterminants from a Computational Point of View ‡g349 -- ‡g6 ‡tEigenvalues and Eigenvectors ‡g351 -- ‡g6.1 ‡tEigenvalues and Eigenvectors ‡g351 -- ‡g6.2 ‡tDiagonalization and Similar Matrices ‡g365 -- ‡g6.3 ‡tStable Age Distribution in a Population; Markov Processes (Optional) ‡g375 -- ‡g6.4 ‡tDiagonalization of Symmetric Matrices ‡g382 -- ‡g6.5 ‡tSpectral Decomposition and Singular Value Decomposition (Optional) ‡g395 -- ‡g6.6 ‡tReal Quadratic Forms ‡g405 -- ‡g6.7 ‡tConic Sections ‡g415 -- ‡g6.8 ‡tQuadric Surfaces ‡g424 -- ‡g7 ‡tDifferential Equations (Optional) ‡g436 -- ‡g7.1 ‡tDifferential Equations ‡g436 -- ‡g7.2 ‡tDynamical Systems ‡g447 -- ‡g8 ‡tMatlab for Linear Algebra ‡g457 -- ‡g8.1 ‡tInput and Output in MATLAB ‡g458 -- ‡g8.2 ‡tMatrix Operations in MATLAB ‡g462 -- ‡g8.3 ‡tMatrix Powers and Some Special Matrices ‡g465 -- ‡g8.4 ‡tElementary Row Operations in MATLAB ‡g468 -- ‡g8.5 ‡tMatrix Inverses in MATLAB ‡g478 -- ‡g8.6 ‡tVectors in MATLAB ‡g479 -- ‡g8.7 ‡tApplications of Linear Combinations in MATLAB ‡g481 -- ‡g8.8 ‡tLinear Transformations in MATLAB ‡g485 -- ‡g9 ‡tMATLAB Exercises ‡g491 -- ‡gAppendix A ‡tPreliminaries ‡g509 -- ‡gA.1 ‡tSets ‡g509 -- ‡gA.2 ‡tFunctions ‡g509 -- ‡gAppendix B ‡tComplex Numbers ‡g513 -- ‡gB.1 ‡tComplex Numbers ‡g513 -- ‡gB.2 ‡tComplex Numbers in Linear Algebra ‡g522.
538 ‡aMode of access: Internet.
596 ‡a5
650 0 ‡aAlgebras, Linear.
700 1 ‡aHill, David R. ‡q(David Ross), ‡d1943-
CID ‡a102009930
DAT 0 ‡a20000607141348.0 ‡b20171207000000.0
DAT 1 ‡a20171213100613.0 ‡b2023-10-18T17:46:33Z
DAT 2 ‡a2023-10-18T17:30:02Z
CAT ‡aSDR-UVA ‡dUNKNOWN ‡lprepare.pl-004-007
FMT ‡aBK
HOL ‡0sdr-uva.u3540463 ‡auva ‡bSDR ‡cUVA ‡puva.x004321606 ‡sUVA ‡1u3540463
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