Pearson - Linear Algebra with Applications, 7/E

Pearson

Always Learning

Browse by discipline

Humanities & Social Sciences

Math & Science

Professional & Career

Linear Algebra with Applications, 7/E
Steven J. Leon

ISBN-10: 0131857851
ISBN-13: 9780131857858

Publisher: Pearson
Copyright: 2006
Format: Cloth; 544 pp
Published: 06/06/2005

Print this content

In this section:

Description

For sophomore-level or junior/senior-level first courses in Linear Algebra; assumes a Calculus prerequisite.

This thorough and accessible text – from one of the leading figures in the use of technology in linear algebra – gives students a challenging and broad understanding of the subject. The author infuses key concepts with their modern practical applications to offer students examples of how mathematics is used in the real world. Each chapter contains integrated worked examples and chapter tests. The book stresses the important role geometry and visualization play in understanding linear algebra. This edition will continue to be packaged with the ancillary ATLAST computer exercise guide, as well as new MATLAB and Maple guides, which are also free in the package.

Features

• Extensive Application of linear algebra concepts to a variety of real world situations – Applications can be used to motivate new material and to show relevance of the material covered.

– Students can easily see what an important tool linear algebra is for solving applied problems.

– See sections 1.3, 5.1, 6.3, and 6.5.

• Computer exercises – The most extensive set of chapter-ending computer exercises of any linear algebra text on the market.

– Help students to visualize and discover linear algebra and allow them to explore more realistic applications that are too computationally intensive to work out by hand.

– Provides students with experience in performing matrix computations.

– See the MATLAB section in chapter 6.

• Worked out examples make the textbook seem less abstract and more user friendly.

– Enhance student understanding of new concepts.

– See section 1.3 which includes 16 worked out examples illustrating every new concept introduced in that section.

• Chapter tests – The most extensive set of chapter-ending computer exercises of any linear algebra text on the market.

– Reinforce course material in the chapter.

– Serves as a wake-up call for students to focus on what material they have yet to master so they can improve their weaknesses.

– See the two chapter tests at the end of chapter 1.

New To This Edition

• New and expanded applications – Interesting and current examples including the application of linear transformations to an airplane, eigenvectors determining the orientation of a space shuttle, and how Google^© makes use of linear algebra to rank and order search results.

– Students understand how theories and fundamental linear algebra concepts can help solve modern day problems.

• Additional chapter tests and new exercises – A second chapter test with 10 to 12 workout problems has been added to each chapter along with the addition of many new exercises to the exercise sections of the book.

– Aids student self-study and preparation for exams.

• Additional new figures

– The addition of seven new figures enhance student visualization of the subject.

• MATLAB updates

– The MATLAB appendix has been updated and expanded. All MATLAB exercises in the book have been checked for compatibility with MATLAB 7.0 (the latest version of MATLAB). Two MATLAB exercises have been replaced with new exercises.

• A series of MATLAB and Maple guides are FREE when shrink-wrapped with the text.

Table of Contents

1. Matrices and Systems of Equations.

Systems of Linear Equations. Row Echelon Form. Matrix Algebra. Elementary Matrices. Partitioned Matrices. Matlab Exercises. Chapter Test.

2. Determinants.

The Determinant of a Matrix. Properties of Determinants. Cramer's Rule. Matlab Exercises. Chapter Test.

3. Vector Spaces.

Definition and Examples. Subspaces. Linear Independence. Basis and Dimension. Change of Basis. Row Space and Column Space. Matlab Exercises. Chapter Test.

4. Linear Transformations.

Definition and Examples. Matrix Representations of Linear Transformations. Similarity. Matlab Exercises. Chapter Test.

5. Orthogonality.

The Scalar Product in Rn. Orthogonal Subspaces. Least Squares Problems. Inner Product Spaces. Orthonormal Sets. The Gram-Schmidt Orthogonalization Process. Orthogonal Polynomials. Matlab Exercises. Chapter Test.

6. Eigenvalues.

Eigenvalues and Eigenvectors. Systems of Linear Differential Equations. Diagonalization. Hermitian Matrices. The Singular Value Decomposition. Quadratic Forms. Positive Definite Matrices. Nonnegative Matrices. Matlab Exercises. Chapter Test.

7. Numerical Linear Algebra.

Floating-Point Numbers. Gaussian Elimination. Pivoting Strategies. Matrix Norms and Condition Numbers. Orthogonal Transformations. The Eigenvalue Problem. Least Squares Problems. Matlab Exercises. Chapter Test.

8. Iterative Methods. On the website, as pdfs.

9. Jordan Canonical Form. On the website, as pdfs.

Appendix: MATLAB.

Bibliography.

Answers to Selected Exercises.

Index.

Courses

Introductory Linear Algebra (Mathematics)

Next Edition(s)

Linear Algebra with Applications, 8/E
Leon
©2010 | Pearson | Cloth; 552 pp | Instock
ISBN-10: 0136009298 | ISBN-13: 9780136009290
Net price: $114.00 (What's this?)Brief Description |
This book is for sophomore-level or junior/senior-level first courses in linear algebra and assumes calculus as a prerequisite.

This thorough and accessible text, from one of the leading figures in the use of technology in linear algebra, gives students a challenging and broad understanding of the subject. The author infuses key concepts with their modern practical applications to offer students examples of how mathematics is used in the real world. Each chapter contains integrated worked examples and chapter tests. The book stresses the important roles geometry and visualization play in understanding linear algebra.
More Info

Print this content

In this section:

Linear Algebra with Applications

Print this content

In this section:

Course & Discipline Resources

For Introductory Linear Algebra
For the Mathematics Discipline

For Introductory Linear Algebra

ATLAST Manual, 2/E
Leon
©2003 | Pearson | Paper; 270 pp | Instock
ISBN-10: 0131011219 | ISBN-13: 9780131011212
Suggested retail price: $37.40Net price: $28.05 (What's this?)More Info

Linear Algebra Labs with MATLAB, 3/E
Hill & Zitarelli
©2004 | Pearson | Paper; 336 pp | Instock
ISBN-10: 0131432745 | ISBN-13: 9780131432741
Suggested retail price: $38.60Net price: $28.95 (What's this?)More Info

Maple Supplement for Linear Algebra, A
Maloney
©2005 | Pearson | Paper; 192 pp | Instock
ISBN-10: 0131453378 | ISBN-13: 9780131453371
Suggested retail price: $88.00Net price: $66.00 (What's this?)More Info

Understanding Linear Algebra Using MATLAB
Kleinfeld & Kleinfeld
©2001 | Pearson | Paper; 210 pp | Out of Stock
ISBN-10: 0130609455 | ISBN-13: 9780130609458
Suggested retail price: $38.60Net price: $28.95 (What's this?)More Info

Visualizing Linear Algebra Using Maple
Keith
©2001 | Pearson | Paper; 250 pp | Instock
ISBN-10: 0130418161 | ISBN-13: 9780130418166
Suggested retail price: $38.60Net price: $28.95 (What's this?)More Info

For the Mathematics Discipline

Allied Health Study Card, 2/E
Forshier
©2006 | Pearson | Study Card | Instock
ISBN-10: 0321394747 | ISBN-13: 9780321394743
Net price: $3.00 (What's this?)More Info

Basic Math Review Card, 2/E
Addison-Wesley
©2006 | Pearson | Study Card; 6 pp | Instock
ISBN-10: 0321394763 | ISBN-13: 9780321394767
Net price: $3.00 (What's this?)More Info

Center for Excellence Sticker
Addison Wesley Higher Education Group
©2000 | Pearson | Unknown / Other | Instock
ISBN-10: 0201716275 | ISBN-13: 9780201716276
Suggested retail price: $0.00Net price: $0.00 (What's this?)More Info

Concept Videos: Algebra
Addison-Wesley
©2008 | Pearson | Multiple Media Package | Instock
ISBN-10: 0321517199 | ISBN-13: 9780321517197
Suggested retail price: $36.67Net price: $27.50 (What's this?)More Info

Concept Videos: Basic Math & Prealgebra
Addison-Wesley
©2008 | Pearson | Multiple Media Package | Instock
ISBN-10: 032151758X | ISBN-13: 9780321517586
Suggested retail price: $36.67Net price: $27.50 (What's this?)More Info

Discovering Algebra: Examples with Keystrokes on the TI-83/TI-82 and TI-85/TI-86, A Laboratory Approach
Pirich & Bigliani
©1997 | Pearson | Paper; 195 pp | Instock
ISBN-10: 0136492037 | ISBN-13: 9780136492030
Net price: $35.85 (What's this?)More Info

Graphing Calculator Tutorial CD
Addison-Wesley
©2006 | Pearson | CD-ROM Only | Instock
ISBN-10: 0321357744 | ISBN-13: 9780321357748
Net price: $10.00 (What's this?)More Info

Overcoming Math Anxiety, 2/E
Davidson & Levitov
©2000 | Pearson | Paper | Instock
ISBN-10: 0321069188 | ISBN-13: 9780321069184
Net price: $27.50 (What's this?)More Info

Prealgebra Review Workbook
Wheel
©2006 | Pearson | Paper; 300 pp | Instock
ISBN-10: 0321473329 | ISBN-13: 9780321473325
Net price: $27.50 (What's this?)More Info

Review of Algebra, A
Howard
©2002 | Pearson | Paper; 224 pp | Instock
ISBN-10: 0201773473 | ISBN-13: 9780201773477
Net price: $27.50 (What's this?)More Info

Spanish Basic Math Study Card
Leonarte
©2007 | Pearson | Study Card | Instock
ISBN-10: 0321438582 | ISBN-13: 9780321438584
Net price: $3.00 (What's this?)More Info

TestGen All-in-One 2005 Package
Addison-Wesley
©2005 | Pearson | CD-ROM Only | Instock
ISBN-10: 0321334469 | ISBN-13: 9780321334466
Suggested retail price: $0.00Net price: $0.00 (What's this?)More Info

Password:

Forgot login/password? | Need to redeem an access code?

We're sorry!

We don't recognize your login or password. Please try again.

If you continue to have problems, try retrieving your login name password or contacting Customer Technical Support.

We're sorry!

The account you used to log in on the previous website does not contain IRC access.
If you have a separate IRC count, please log in using that login name and password.
If you do not have an IRC account, you canrequest access here

close window

Your access will expire soon.

To ensure uninterrupted service, you should renew your access for this site soon.

Renew now or proceed without renewing.

close window

We're sorry!

Your access to the Instructor Resource Center has expired.

To continue using the IRC, renew your access now.

An internal error has occurred. Please try again.

Instructor Resource Center File Download

This work is protected by local and international copyright laws and is provided solely for the use of instructors in teaching their courses and assessing student learning. Dissemination or sale of any part of this work (including on the World Wide Web) will destroy the integrity of the work and is not permitted. The work and materials from this site should never be made available to students except by instructors using the accompanying text in their classes. All recipients of this work are expected to abide by these restrictions and to honor the intended pedagogical purposes and the needs of other instructors who rely on these materials.

Cancel

I accept, proceed with download

Print this content

Pearson Higher Education offers special pricing when you choose to package your text with other student resources. If you're interested in creating a cost-saving package for your students contact your Pearson Higher Education representative.

Linear Algebra with Applications, 7/E