Elementary Linear Algebra (2nd Edition)

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9780131871410: Elementary Linear Algebra (2nd Edition)

Ideal as a reference or quick review of the fundamentals of linear algebra, this book offers a matrix-oriented approach--with more emphasis on Euclidean n-space, problem solving, and applications, and less emphasis on abstract vector spaces. It features a variety of applications, boxed statements of important results, and a large number of numbered and unnumbered examples. Matrices, Vectors, and Systems of Linear Equations. Matrices and Linear Transformations. Determinants. Subspaces and Their Properties. Eigenvalues, Eigenvectors, and Diagonalization. Orthogonality. Vector Spaces. Complex Numbers. A professional reference for computer scientists, statisticians, and some engineers.

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Elementary Linear Algebra, 2/e — Lawrence Spence, Arnold Insel, and Stephen Friedberg

 

Embracing the recommendations of the Linear Algebra Curriculum Study Group, the authors have written a text that students will find both accessible and enlightening.  Written for a matrix-oriented course, students from a variety of disciplines can expect a greater understanding of the concepts of linear algebra. 

Starting with matrices, vectors, and systems of linear equations, the authors move towards more advanced material, including linear independence, subspaces, and bases.  The authors also encourage the use of technology, either computer software (MATLAB) or super-calculators, freeing students from tedious computations so they are better able to focus on the conceptual understanding of linear algebra. 

Lastly, students will find a variety of applications to engage their interest, demonstrated via economics, traffic flow, anthropology, Google searches, computer graphics, or music to name a few. By leveraging technology and incorporating engaging examples and numerous practice problems and exercises, this text best serves the needs of students attempting to master linear algebra. 

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Book Description Pearson, 2007. Book Condition: New. Brand New, Unread Copy in Perfect Condition. A+ Customer Service! Summary: PREFACE ix TO THE STUDENT xv CHAPTER 1 MATRICES, VECTORS, AND SYSTEMS OF LINEAR EQUATIONS 1 1.1 Matrices and Vectors 1 1.2 Linear Combinations, MatrixVector Products, and Special Matrices 11 1.3 Systems of Linear Equations 25 1.4 Gaussian Elimination 39 1.5* Applications of Systems of Linear Equations 54 1.6 The Span of a Set of Vectors 64 1.7 Linear Dependence and Linear Independence 73 Chapter 1 Review Exercises Chapter 1 MATLAB Exercises CHAPTER 2 MATRICES AND LINEAR TRANSFORMATIONS 90 2.1 Matrix Multiplication 90 2.2* Applications of Matrix Multiplication 101 2.3 Invertibility and Elementary Matrices 117 2.4 The Inverse of a Matrix 130 2.5* Partitioned Matrices and Block Multiplication 141 2.6* The LU Decomposition of a Matrix 147 2.7 Linear Transformations and Matrices 162 2.8 Composition and Invertibility of Linear Transformations 175 Chapter 2 Review Exercises Chapter 2 MATLAB Exercises CHAPTER 3 DETERMINANTS 192 3.1 Cofactor Expansion 192 3.2 Properties of Determinants 204 Chapter 3 Review Exercises Chapter 3 MATLAB Exercises CHAPTER 4 SUBSPACES AND THEIR PROPERTIES 218 4.1 Subspaces 218 4.2 Basis and Dimension 232 4.3 The Dimension of Subspaces Associated with a Matrix 245 4.4 Coordinate Systems 254 4.5 Matrix Representations of Linear Operators 266 Chapter 4 Review Exercises Chapter 4 MATLAB Exercises CHAPTER 5 EIGENVALUES, EIGENVECTORS, AND DIAGONALIZATION. Bookseller Inventory # ABE_book_new_0131871412

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Book Description Pearson Education (US), United States, 2007. Hardback. Book Condition: New. 2nd Revised edition. 282 x 226 mm. Language: English . Brand New Book. For a sophomore-level course in Linear Algebra. Based on the recommendations of the Linear Algebra Curriculum Study Group, this introduction to linear algebra offers a matrix-oriented approach with more emphasis on problem solving and applications. Throughout the text, use of technology is encouraged. The focus is on matrix arithmetic, systems of linear equations, properties of Euclidean n-space, eigenvalues and eigenvectors, and orthogonality. Although matrix-oriented, the text provides a solid coverage of vector spaces. Bookseller Inventory # AAS9780131871410

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Book Description Pearson Education (US), United States, 2007. Hardback. Book Condition: New. 2nd Revised edition. 282 x 226 mm. Language: English . Brand New Book. For a sophomore-level course in Linear Algebra. Based on the recommendations of the Linear Algebra Curriculum Study Group, this introduction to linear algebra offers a matrix-oriented approach with more emphasis on problem solving and applications. Throughout the text, use of technology is encouraged. The focus is on matrix arithmetic, systems of linear equations, properties of Euclidean n-space, eigenvalues and eigenvectors, and orthogonality. Although matrix-oriented, the text provides a solid coverage of vector spaces. Bookseller Inventory # AAS9780131871410

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Book Description Pearson Education (US). Hardback. Book Condition: new. BRAND NEW, Elementary Linear Algebra (2nd Revised edition), Arnold J. Insel, Stephen H. Friedberg, Lawrence E. Spence, For a sophomore-level course in Linear Algebra. Based on the recommendations of the Linear Algebra Curriculum Study Group, this introduction to linear algebra offers a matrix-oriented approach with more emphasis on problem solving and applications. Throughout the text, use of technology is encouraged. The focus is on matrix arithmetic, systems of linear equations, properties of Euclidean n-space, eigenvalues and eigenvectors, and orthogonality. Although matrix-oriented, the text provides a solid coverage of vector spaces. Bookseller Inventory # B9780131871410

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