# Linear Algebra: An Interactive Approach (with CD-ROM) (Available Titles CengageNOW)

## Surender K. Jain; Ananda D. Gunawardena

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Utilizing technology to enrich the learning experience, S.K. Jain and A.D. Gunawardena provide an exciting introduction to linear algebra. The accompanying CD-ROM contains the entire contents of the book in a searchable format. The CD-ROM also includes MATLAB drills, concept demonstrations, solutions, projects, and chapter tests. In addition to the CD-ROM, the Web site contains additional problems, projects, and applications, as well as support for MAPLE and Mathematica. In the book, the authors introduce matrices as a handy tool for solving systems of linear equations and then demonstrate that their utility goes far beyond this initial application. Students discover that hardly any area of modern mathematics exists where matrices do not have some application. Offering flexibility in the approach, this book can be used in a traditional course without technology or in a course using technology.

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S. K. Jain is Distinguished Professor of Mathematics at Ohio University.

Review:

1. LINEAR SYSTEMS AND MATRICES. Linear Systems of Equations. Elementary Operations and Gauss Elimination Method. Homogeneous Linear Systems. Introduction to Matrices and the Matrix of a Linear System. Elementary Row Operations on a Matrix. Proofs of Facts. Chapter Review Questions and Project. 2. ALGEBRA OF MATRICES. Scalar Multiplication and Addition of Matrices. Matrix Multiplication and its Properties. Transpose. Proofs of Facts. Chapter Review Questions and Projects. 3. SUBSPACES. Linear Combination of Vectors. Vector Subspaces. Linear Dependence, Linear Independence and Basis. Proofs of Facts. Chapter Review Questions and Project. 4. RANK. Elementary Operations and Rank. Null Space and Nullity of a Matrix. Elementary Matrices. Proofs of Facts. Chapter Review Questions and Project. 5. INVERSE, RANK FACTORIZATION, AND LU-DECOMPOSITION. Inverse of a Matrix and Its Properties. Further Properties of Inverses. Full-Rank Factorization. LU-Decomposition of a Matrix. Proofs of Facts. Chapter Review Questions and Projects. 6. DETERMINANTS. Determinant. Properties of the Determinant. Cofactors and Inverse of a Matrix. Cramer's Rule. Chapter Review Questions and Projects. 7. EIGENVALUE PROBLEMS. Eigenvalues and Eigenvectors. Characteristic Polynomial. Calculating Eigenvalues and Eigenvectors (Another Approach) and the Cayley-Hamilton. Applications of the Cayley-Hamilton Theorem/ Properties of Eigenvalues, Diagonalizability, and Triangularizability. Proofs and Facts. Chapter Review Questions and Project. 8. INNER PRODUCT SPACES. Gram-Schmidt Orthogonalization Process. Diagonalization of Symmetric Matrices. Application of the Spectral Theorem. Least-Squares Solution. Generalized Inverse and Least-Squares Solution. Proofs and Facts. Chapter Review Questions and Projects. 9. VECTOR SPACES AND LINEAR MAPPINGS. Vector Spaces. Linear Dependence and Linear Independence. Linear Mappings. Some Properties of Linear Mappings:Image and Kernel. Linear Mappings and Matrices. Chapter Review Questions and Project. 10. DETERMINANTS (REVISITED). Permutations. Determinants. Cofactor Expansion. Adjoint of a Matrix. Cramer's Rule. Product Theorem of Determinants. Answers and Hints to Selected Exercises. Drill Solutions Using Matlab. Some Basic Matlab Operations. Index.

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## 1.Linear Algebra: An Interactive Approach (with CD-ROM)

Editorial: Brooks Cole (2003)
ISBN 10: 0534409156 ISBN 13: 9780534409159
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Ergodebooks
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Descripción Brooks Cole, 2003. Hardcover. Estado de conservación: New. 1. Nº de ref. de la librería DADAX0534409156

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## 2.Linear Algebra: An Interactive Approach (with CD-ROM) (Available Titles CengageNOW)

Editorial: Brooks Cole (2003)
ISBN 10: 0534409156 ISBN 13: 9780534409159
Nuevos Tapa dura Primera edición Cantidad: 1
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Irish Booksellers
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Descripción Brooks Cole, 2003. Hardcover. Estado de conservación: New. book. Nº de ref. de la librería M0534409156

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## 3.Linear Algebra: An Interactive Approach (with CD-ROM) (Available Titles CengageNOW)

Editorial: Brooks Cole (2003)
ISBN 10: 0534409156 ISBN 13: 9780534409159
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Nearfine Books
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Descripción Brooks Cole, 2003. Estado de conservación: new. Shiny and new! Expect delivery in 20 days. Nº de ref. de la librería 9780534409159-1

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## 4.Linear Algebra: An Interactive Approach

Editorial: Florence, Kentucky, U.S.A.: Brooks/Cole Pub Co (2003)
ISBN 10: 0534409156 ISBN 13: 9780534409159
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(Taipei, TP, Taiwan)
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Descripción Florence, Kentucky, U.S.A.: Brooks/Cole Pub Co, 2003. Hardcover. Estado de conservación: New. Ship out 1-2 business day,Brand new,US edition, Free tracking number usually 2-4 biz days delivery to worldwide Same shipping fee with US, Canada,Europe country, Australia, item will ship out from either LA or Asia,w. Nº de ref. de la librería ABE-7777320473

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## 5.Linear Algebra: An Interactive Approach (with CD-ROM)

Editorial: Brooks Cole 2003-02-28 (2003)
ISBN 10: 0534409156 ISBN 13: 9780534409159
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Descripción Brooks Cole 2003-02-28, 2003. Hardcover. Estado de conservación: New. Nº de ref. de la librería NU-CEN-00000681

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## 6.Linear Algebra: An Interactive Approach (With Cd-Rom)

ISBN 10: 0534409156 ISBN 13: 9780534409159
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BooksForStudent
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Descripción Estado de conservación: New. Brand New Book In Mint condition. Shipping with Trackable Method. No APO/FPO Addresses Please. Nº de ref. de la librería 9780534409159NHS

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## 7.Linear Algebra

Editorial: Brooks/Cole
ISBN 10: 0534409156 ISBN 13: 9780534409159
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Descripción Brooks/Cole. Hardcover. Estado de conservación: New. New copy - Usually dispatched within 2 working days. Nº de ref. de la librería B9780534409159

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## 8.Linear Algebra

Editorial: Cengage Learning, Inc (2003)
ISBN 10: 0534409156 ISBN 13: 9780534409159
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Descripción Cengage Learning, Inc, 2003. UNK. Estado de conservación: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Nº de ref. de la librería CN-9780534409159

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## 9.Linear Algebra: An Interactive Approach

Editorial: Brooks/Cole Pub Co (2003)
ISBN 10: 0534409156 ISBN 13: 9780534409159
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Revaluation Books
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Descripción Brooks/Cole Pub Co, 2003. Hardcover. Estado de conservación: Brand New. hardback/cd-rom edition. 432 pages. 9.75x8.00x0.75 inches. In Stock. Nº de ref. de la librería __0534409156

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## 10.Linear Algebra: An Interactive Approach (With Cd-Rom)

ISBN 10: 0534409156 ISBN 13: 9780534409159
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firstbookstore
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Descripción Estado de conservación: Brand New. Brand New Original US Edition, Perfect Condition. Printed in English. Excellent Quality, Service and customer satisfaction guaranteed!. Nº de ref. de la librería AIND-74728

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