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Introduction to Linear Algebra, 5/e is a foundation book that bridges both practical computation and theoretical principles. Due to its flexible table of contents, the book is accessible for both students majoring in the scientific, engineering, and social sciences, as well as students that want an introduction to mathematical abstraction and logical reasoning. In order to achieve the text's flexibility, the book centers on 3 principal topics: matrix theory and systems of linear equations, elementary vector space concepts, and the eigenvalue problem. This highly adaptable text can be used for a one-quarter or one-semester course at the sophomore/junior level, or for a more advanced class at the junior/senior level.

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Pearson
(2001)

ISBN 10: 0201658593
ISBN 13: 9780201658590

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**Book Description **Pearson, 2001. Book Condition: New. Brand New, Unread Copy in Perfect Condition. A+ Customer Service! Summary: 1. Matrices and Systems of Linear Equations. Introduction to Matrices and Systems of Linear Equations. Echelon Form and Gauss-Jordan Elimination. Consistent Systems of Linear Equations. Applications (Optional). Matrix Operations. Algebraic Properties of Matrix Operations. Linear Independence and Nonsingular Matrices. Data Fitting, Numerical Integration, and Numerical Differentiation (Optional). Matrix Inverses and Their Properties. 2. Vectors in 2-Space and 3-Space. Vectors in the Plane. Vectors in Space. The Dot Product and the Cross Product. Lines and Planes in Space. 3. The Vector Space Rn. Introduction. Vector Space Properties of Rn. Examples of Subspaces. Bases for Subspaces. Dimension. Orthogonal Bases for Subspaces. Linear Transformations from Rn to Rm. Least-Squares Solutions to Inconsistent Systems, with Applications to Data Fitting. Theory and Practice of Least Squares. 4. The Eigenvalue Problem. The Eigenvalue Problem for (2 x 2) Matrices. Determinants and the Eigenvalue Problem. Elementary Operations and Determinants (Optional). Eigenvalues and the Characteristic Polynomial. Eigenvectors and Eigenspaces. Complex Eigenvalues and Eigenvectors. Similarity Transformations and Diagonalization. Difference Equations; Markov Chains, Systems of Differential Equations (Optional). 5. Vector Spaces and Linear Transformations. Introduction. Vector Spaces. Subspaces. Linear Independence, Bases, and Coordinates. Dimension. Inner-Product Spaces, Orthogonal Bases, and Projections (Optional). Linear Transformations. Operations with Linear Transformations. Matrix Representations for Linear Transformations. Change of Basis and Diagonalization. 6. Determinants. Introduction. Cofactor Expansions of Determinants. Elementary Operations and Determinants. Cramer's Rule. Applications of Determinants: Inverses and Wronksians. 7. Eigenvalues and Applications. Quadratic Forms. Systems of Differential Equations. Transformation to Hessenberg Form. Eigenvalues of Hessenberg Matrices. Householder Transformations. The QR Factorization and Least-Squares Solutions. Matrix Polynomials and the Cayley-Hamilton Theorem. Generalized Eigenvectors and Solutions of Systems of Differential Equations. Appendix: An Introduction to MATLAB. Answers to Selected Odd-Numbered Exercises. Index. Bookseller Inventory # ABE_book_new_0201658593

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Published by
Pearson
(2001)

ISBN 10: 0201658593
ISBN 13: 9780201658590

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**Book Description **Pearson, 2001. Hardcover. Book Condition: New. Mint!!. Bookseller Inventory # mon0000033332

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Published by
Pearson
(2001)

ISBN 10: 0201658593
ISBN 13: 9780201658590

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**Book Description **Pearson, 2001. Hardcover. Book Condition: New. ***New Book / Never Used*** *Quick shipping. Bookseller Inventory # mon0000013850

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ISBN 10: 0201658593
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**Book Description **Hardcover. Book Condition: 11. Still wrapped, some shelf-wear.(H+WE(2.16)-H)N-30. Bookseller Inventory # sku-6704-6704

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Published by
Addison Wesley
(2002)

ISBN 10: 0201658593
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**Book Description **Addison Wesley, 2002. Book Condition: New. 5th Edition. 5th Edition-Inventory is subject to prior sale. SHIPPING: Only Standard shipping to PO Boxes. We are not able to ship to APO/FPOs or Internationally. Orders are shipped from Illinois. Bookseller Inventory # 3627148N1

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ISBN 10: 0201658593
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**Book Description **Hardcover. Book Condition: BRAND NEW. BRAND NEW. Fast Shipping. Prompt Customer Service. Satisfaction guaranteed. Bookseller Inventory # 0201658593BNA

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Published by
Pearson Education
(2001)

ISBN 10: 0201658593
ISBN 13: 9780201658590

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**Book Description **Pearson Education, 2001. Hardback. Book Condition: New. New Book. Shipped from UK within 10 to 14 business days. Established seller since 2000. Bookseller Inventory # PJ-9780201658590

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Published by
Pearson

ISBN 10: 0201658593
ISBN 13: 9780201658590

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**Book Description **Pearson. Hardcover. Book Condition: New. Bookseller Inventory # DADAX0201658593

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Published by
Prentice Hall

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**Book Description **Prentice Hall. Book Condition: New. Brand New. Bookseller Inventory # 0201658593

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Published by
Pearson Education Limited, United Kingdom
(2001)

ISBN 10: 0201658593
ISBN 13: 9780201658590

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**Book Description **Pearson Education Limited, United Kingdom, 2001. Hardback. Book Condition: New. 5th Revised edition. 234 x 190 mm. Language: English Brand New Book. Introduction to Linear Algebra, 5/e is a foundation book that bridges both practical computation and theoretical principles. Due to its flexible table of contents, the book is accessible for both students majoring in the scientific, engineering, and social sciences, as well as students that want an introduction to mathematical abstraction and logical reasoning. In order to achieve the text s flexibility, the book centers on 3 principal topics: matrix theory and systems of linear equations, elementary vector space concepts, and the eigenvalue problem. This highly adaptable text can be used for a one-quarter or one-semester course at the sophomore/junior level, or for a more advanced class at the junior/senior level. Bookseller Inventory # AAS9780201658590

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