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
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
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.
NEWSections 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.
NEWExercises emphasizing geometric origins of
NEWEight new instructional files that employ
the Graphical User Interface (GUI).
NEWInstructional activities engage students in
hands-on investigations through experimentation and discovery.
NEWDisplays of important GUI instructional screens.
NEWAn 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.