Chapters eight, nine, and ten of Elementary Linear Algebra are are available exclusively online as Adobe Acrobat files. You may download each section individually, as well as the end of chapter exercises and answers to odd-numbered exercises. Depending on how your browser is configured, you may either be able to view the Acrobat (.pdf) files in your browser window or be prompted to save the files on your hard drive. Any file that loads into your browser window may be saved to your hard drive by selecting File --> Save As. These Acrobat files may be printed and copied or distributed electronically for classroom use.

For further explanation on how to save or view PDF documents, please see: Downloading and viewing PDF files.

Some resources on this page are in PDF format and require Adobe® Acrobat® Reader. You can download the free reader below!

Chapter 8: Complex Vector Spaces
8.1 Complex Numbers
8.2 Conjugates and Division of Complex Numbers
8.3 Polar Form and DeMoivre's Theorem
8.4 Complex Vector Spaces and Inner Products
8.5 Unitary and Hermitian Matrices
Review Exercises, Projects, MATLAB Exercises
Answers to Odd-Numbered Questions

Chapter 9: Linear Programming
9.1 Systems of Linear Inequalities
9.2 Linear Programming Involving Two Variables
9.3 The Simplex Method: Maximization
9.4 The Simplex Method: Minimization
9.5 The Simplex Method: Mixed Constraints
Review Exercises
Answers to Odd-Numbered Questions

Chapter 10: Numerical Methods
10.1 Gausian Elimination with Partial Pivoting
10.2 Iterative Methods for Solving Linear Systems
10.3 Power Method for Approximating Eigenvalues
10.4 Applications of Numerical Methods
Answers to Odd-Numbered Questions