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Linear algebra with applications

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Contents:
1. Matrices andSystems of Equations 1.1 Systems of LinearEquations 1.2 Row Echelon Form 1.3 Matrix Arithmetic 1.4 Matrix Algebra 1.5 ElementaryMatrices 1.6 PartitionedMatrices MATLAB Exercises Chapter Test A — Trueor False Chapter Test B 2. Determinants 2.1 The Determinantof a Matrix 2.2 Properties ofDeterminants 2.3 Additional Topicsand Applications MATLAB Exercises Chapter Test A — Trueor False Chapter Test B 3. Vector Spaces 3.1 Definition andExamples 3.2 Subspaces 3.3 LinearIndependence 3.4 Basis and Dimension 3.5 Change of Basis 3.6 Row Space andColumn Space MATLAB Exercises Chapter Test A — Trueor False Chapter Test B 4. LinearTransformations 4.1 Definition andExamples 4.2 MatrixRepresentations of Linear Transformations 4.3 Similarity MATLAB Exercises Chapter Test A — Trueor False Chapter Test B 5. Orthogonality 5.1 The ScalarProduct in Rn 5.2 OrthogonalSubspaces 5.3 Least SquaresProblems 5.4 Inner ProductSpaces 5.5 Orthonormal Sets 5.6 The Gram–SchmidtOrthogonalization Process 5.7 OrthogonalPolynomials MATLAB Exercises Chapter Test A — Trueor False Chapter Test B 6. Eigenvalues 6.1 Eigenvalues andEigenvectors 6.2 Systems of LinearDifferential Equations 6.3 Diagonalization 6.4 HermitianMatrices 6.5 The SingularValue Decomposition 6.6 Quadratic Forms 6.7 Positive DefiniteMatrices 6.8 NonnegativeMatrices MATLAB Exercises Chapter Test A — Trueor False Chapter Test B 7. Numerical LinearAlgebra 7.1 Floating-PointNumbers 7.2 GaussianElimination 7.3 Pivoting Strategies 7.4 Matrix Norms andCondition Numbers 7.5 OrthogonalTransformations 7.6 The EigenvalueProblem 7.7 Least SquaresProblems 7.8 Iterative Methods MATLAB Exercises Chapter Test A — Trueor False Chapter Test B 8. Canonical Forms 8.1 Nilpotent Operators 8.2 The JordanCanonical Form Appendix: MATLAB Bibliography Answers to SelectedExercises Index

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Detail Information

Series Title

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Call Number

512.5 LEO l

Publisher

Pearson : 9781292354866., 2020

Collation

1 online resource

Language

English

ISBN/ISSN

9781292354866

Classification

512.5

Content Type

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Media Type

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Carrier Type

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Edition

10th ed

Subject(s)

Mathematics
Algebras, Linear

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Statement of Responsibility

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