My World of Linear Algebra

Welcome. So why this page? In my own work I've encountered many flavors of mathematics (group theory, ring theory, commutative algebra, applied mathematics and numerical analysis, etc) and a common thread throughout my mathematical experiences has been linear algebra. I've taught the subject many times, and it seems that students are always teaching me something new about the subject as well. So, as you can see, I think linear algebra is a really great subject. It seems to be connected to everything. In fact, I think for many science/math students it's every bit as important as calculus.

The original impetus for this page was to provide a viewing of a textbook that I've been writing about linear algebra off and on since about 1992. I've used a number of tools in the linear algebra course that I've taught, starting with the venerable HP-28 in 1987 and moving up to advanced computer algebra systems (CAS) like Maple and Mathematica, and matrix algebra systems (MAS), like Matlab and Octave. I would like to share some of the resources that I've found and/or developed in conjunction with my text. I used these resources in many other courses I taught, primarily numerical analysis and differential equations, and I hope that others will find uses for them in their own courses. Some of the tools are rather dated, so user beware.

In addition, this Web page is also somewhat dated as that I retired in 2010, so it's a bit rough at the edges. Nonetheless, I'll be adding features and some new pages, so linear algebra fans, stay tuned! BTW, if you do find any of the resources that I've created here useful, I would appreciate hearing about it.

I have some information to share regarding my textbook: It has continued to enjoy some success after a decade and the folks at Springer-Verlag felt that a new edition would be a worthwhile endeavor. To this end I have just completed a revision of the textbook, and I will share more information about this revision in the second link below.

Linear Algebra Resources

• Applied Linear Algebra and Matrix Analysis My textbook for an introductory linear algebra course, first edition, 2007.
• Applied Linear Algebra and Matrix Analysis, 2nd Ed. My textbook for an introductory linear algebra course, revised edition, 2018 (coming soon).
• Maple Notebooks Tutorial notebooks in Maple, some of which are the basis for linear algebra projects.
• Mathematica Notebooks Tutorial notebooks in Mathematica, some of which are the basis for linear algebra projects (in old Mathematica .ma and new .nb formats.)
• Linear Algebra Octave Files Program files for a Matlab-like program called Octave which I have found very useful in linear algebra. With a little tweaking, these will run under Matlab.
• Text versions of projects Some text files, mostly in Latex.
• Sample Syllabi Here are sample syllabi which I have used along with my text, together with class policy statements. Format is html.
• Sample Exams Here are sample exams which I have used along with my text; they are all latex files, so instructors may massage them to suit their own needs.