## Elementary Linear Algebra with Applications. Third Edition

### Richard O. Hill

3.58 avg rating
( 12 ratings by Goodreads )

View all copies of this ISBN edition:

This edition strives to develop students' geometric intuition as a foundation for learning the concepts of span and linear independence. Applications are integrated throughout to illustrate the mathematics and to motivate the student. Numerical ideas and concepts using the computer are interspersed throughout the text; instructors can use these at their discretion. This textbook allows the instructor considerable flexibility to choose the applications and numerical topics to be covered according to his or her tastes and the students' needs.

"synopsis" may belong to another edition of this title.

About the Author:

Julia Butterfly Hill, twenty-six, is a writer, a poet, and an activist. She helped found the Circle of Life Foundation to promote the sustainability, restoration, and preservation of life. The foundation is sponsored by the nonprofit Trees Foundation, which works toward the conservation and preservation of forest ecosystems. Hill has been the recipient of many honors and awards, and is a frequent speaker for environmental conferences around the world.

Review:

Preface. List of Applications. 1. Introduction to Linear Equations and Matrices. Introduction to Linear Systems and Matrices. Gaussian Elimination. The Algebra of Matrices: Four Descriptions of the Product. Inverses and Elementary Matrices. Gaussian Elimination as a Matrix Factorization. Transposes, Symmetry, and Band Matrices: An Application. Numerical and Programming Considerations: Partial Pivoting, Overwriting Matrices, and Ill-Conditioned Systems. Review Exercises. 2. Determinants. The Determinant Function. Properties of Determinants. Finding det A Using Signed Elementary Products. Cofactor Expansion: Cramer's Rule. Applications. Review Exercises. 3. Vector Spaces. Vectors in 2- and 3-Spaces. Euclidean n-Space. General Vector Spaces. Subspaces, Span, Null Spaces. Linear Independence. Basis and Dimension. The Fundamental Subspaces of a Matrix; Rank. Coordinates and Change of Basis. An Application: Error-Correcting Codes. Review Exercises. Cumulative Review Exercises. 4. Linear Transformations, Orthogonal Projections and Least Squares. Matrices as Linear Transformation. Relationships Involving Inner Products. Least Squares and Orthogonal Projections. Orthogonal Bases and the Gram-Schmidt Process. Orthogonal Matrices, QR Decompositions, and Least Squares (Revisited). Encoding the QR Decompositions: A Geometric Approach. General Matrices of Linear of Linear Transformations; Similarity. Review Exercises. Cumulative Review Exercises. 5. Eigenvectors and Eigenvalues. A Brief Introduction to Determinants. Eigenvalues and Eigenvectors. Diagonalization. Symmetric Matrices. An Application - Difference Equations: Fibonacci Sequences and Markov Processes. An Application -Differential Equations. An Application -- Quadratic Forms. Solving the Eigenvalue Problem Numerically. Review Exercises. Cumulative Review Exercises. 6. Further Directions. Function Spaces. The Singular Value Decomposition -- Generalized Inverses, the General Least-Squares Problem, and an Approach to Ill-Conditioned Systems. Iterative Method. Matrix Norms. General Vector Spaces and Linear Transformations Over an Arbitrary Field. Review Exercises. Appendix A: More on LU Decompositions. Appendix B: Counting Operations and Gauss-Jordan Elimination. Appendix C: Another Application. Appendix D: Introduction to MATLAB and Projects. Bibliography and Further Readings. Index.

"About this title" may belong to another edition of this title.

Buy New View Book
List Price: US\$ 345.95
US\$ 83.86

Shipping: US\$ 3.99
Within U.S.A.

Destination, rates & speeds

Add to Basket

### Other Popular Editions of the Same Title

#### Featured Edition

ISBN 10:  0155210920 ISBN 13:  9780155210929
Publisher: Harcourt College Pub, 1991
Hardcover

## 1.Elementary Linear Algebra with Applications. Third Edition

Published by Saunders College Publishing (1996)
ISBN 10: 0030103479 ISBN 13: 9780030103476
New Hardcover Quantity Available: 1
Seller:
Media Neat
(Des Plaines, IL, U.S.A.)
Rating

Book Description Saunders College Publishing, 1996. Hardcover. Condition: New. New. There is a slight shelf or time wear. Otherwise new.We Ship Every Day! Free Tracking Number Included! International Buyers Are Welcome! Satisfaction Guaranteed!. Seller Inventory # 30676567498t

Buy New
US\$ 83.86
Convert currency
Shipping: US\$ 3.99
Within U.S.A.
Destination, rates & speeds

## 2.Elementary Linear Algebra with Applications. Third Edition

Published by Saunders College Publishing (1996)
ISBN 10: 0030103479 ISBN 13: 9780030103476
New Hardcover Quantity Available: 1
Seller:
Irish Booksellers
(Portland, ME, U.S.A.)
Rating

Book Description Saunders College Publishing, 1996. Condition: New. book. Seller Inventory # M0030103479

Buy New
US\$ 94.86
Convert currency
Shipping: US\$ 3.27
Within U.S.A.
Destination, rates & speeds

## 3.ELEMENTARY LINEAR ALGEBRA WITH A

ISBN 10: 0030103479 ISBN 13: 9780030103476
New Quantity Available: 1
Seller:
BennettBooksLtd
(San Diego, CA, U.S.A.)
Rating

Book Description Condition: New. New. Looks like an interesting title!. Seller Inventory # S-0030103479

Buy New
US\$ 103.30
Convert currency
Shipping: US\$ 4.95
Within U.S.A.
Destination, rates & speeds

## 4.Elementary Linear Algebra with Applications. Third Edition

Published by Saunders College Publishing (1996)
ISBN 10: 0030103479 ISBN 13: 9780030103476
New Hardcover Quantity Available: 1
Seller:
Ergodebooks
(RICHMOND, TX, U.S.A.)
Rating

Book Description Saunders College Publishing, 1996. Hardcover. Condition: New. 3. Seller Inventory # DADAX0030103479

Buy New
US\$ 109.17
Convert currency
Shipping: US\$ 3.99
Within U.S.A.
Destination, rates & speeds

## 5.Elementary Linear Algebra with Applications. Third Edition

Published by Saunders College Publishing (1996)
ISBN 10: 0030103479 ISBN 13: 9780030103476
New Hardcover Quantity Available: 2
Seller:
Davinci Book Company, Inc
(Midland Park, NJ, U.S.A.)
Rating

Book Description Saunders College Publishing, 1996. Hardcover. Condition: New. NEW TEXTBOOK-SHIPS WITH EMAILED TRACKING. Seller Inventory # Sep18-9780030103476

Buy New
US\$ 182.00
Convert currency
Shipping: US\$ 3.99
Within U.S.A.
Destination, rates & speeds

## 6.Elementary Linear Algebra with Applications. Third Edition

Published by Saunders College Publishing (1996)
ISBN 10: 0030103479 ISBN 13: 9780030103476
New Hardcover Quantity Available: 1
Seller:
Books Express
(Portsmouth, NH, U.S.A.)
Rating

Book Description Saunders College Publishing, 1996. Hardcover. Condition: New. 3. Ships with Tracking Number! INTERNATIONAL WORLDWIDE Shipping available. Buy with confidence, excellent customer service!. Seller Inventory # 0030103479n

Buy New
US\$ 322.64
Convert currency
Shipping: FREE
Within U.S.A.
Destination, rates & speeds