## Linear Algebra Labs with MATLAB, 2/e

David R. Hill
David E. Zitarelli, both at Temple University

Published March, 1996 by Prentice Hall Engineering/Science/Mathematics

Paper
ISBN 0-13-505439-7

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Introductory Linear Algebra-Mathematics

Linear Algebra-Mechanical Engineering

This work is made up of two primary parts: the manual containing 13 LABS and three applications and a disk containing instructional M-files helping to integrate MATLAB® into an educational setting. The goal of this text is to use the laboratory experience to aid in understanding the basic ideas of linear algebra.

Enables the incorporation of computing language and technology as well as computer demonstration and experiments into the lecture format.
Instructional M-files provide a tool kit for working with linear algebra without the need for programming experience in MATLAB.

• The tool kit provides a good lead-in to the use of MATLAB commands.
Contains 3 distinct LABS—
• LAB 5 examines a set with addition and scalar multiplication while investigating the defining properties of a vector space.
• LAB 8 saves class time through a presentation of the defining properties of the determinant.
• LAB 11 serves as an independent supplement to the standard classroom coverage of linear transformations by examining the geometry of plane linear transformations.
NEW—Sections have been added to the Second Edition:
• Visualizing row operations.
• Symbolic row operations.
• Symbolic operations with linear combinations.
• Linear combinations and coordinates - geometrically.
• Matrix representations of linear transformations.
• Geometric introduction to eigen concepts.
• Geometric experimentation with least squares line models.
NEW—Exercises emphasizing geometric origins of concepts.
NEW—Eight new instructional files that employ the Graphical User Interface (GUI).
NEW—Instructional activities engage students in hands-on investigations through experimentation and discovery.
NEW—Displays of important GUI instructional screens.
NEW—An introduction to each lab to provide an overview of the activities and scope.

Lab 1. Matrices in MATLAB.
Lab 2. Linear Systems.
Lab 3. Matrix Operation.
Lab 4. Homogeneous Systems, Echelon Forms, and Inverses.
Lab 5. A Vector Space Example.
Lab 6. Linear Combinations.
Lab 7. Coordinates and Change of Basis.
Lab 8. The Determinant Factor.
Lab 9. Inner Product Spaces.
Lab 10. Orthogonal Sets.
Lab 11. Plane Linear Transformations.
Lab 12. Linear Transformations.
Lab 13. The Eigenproblem.
Application 1. Introduction to Graph Theory.
Application 2. Secret Codes.
Application 3. Least Squares Models.
Appendix 1. Instructional Extensions to MATLAB.
Appendix 2. Index of MATLAB Commands.
Appendix 3. Index of Terms.