by Eckhard M. S. Hitzer (University of Fukui), Prof. Ryosuke Nagaoka (University of the Air, Japan)

*
Unless you assume a God, the question of life's purpose is meaningless.*

Russell, Bertrand

This homepage provides supplementary material for the University of the Air, Japan,
linear algebra II lectures recorded in 2003. The lectures were recorded by Prof.
Ryosuke Nagaoka. From time to time Eckhard Hitzer briefly appeared as a guest, sometimes
introducing topics from the view point of goemetric algebra. The English transcripts
of these contributions can be found on this homepage.
In addition this site
contains a few short texts about related topics from geometric algebra,
a preliminary version an introduction to geometric algebra chapter (in Japanese),
a range of interactive Java applet illustrations, and some links for further
explorations.

Please send any suggestions, corrections and improvements
to Eckhard Hitzer.
Especially if you detect any mathematical errors!

- Lecture 2
- Lecture 3
- Lecture 4
- Lecture 5
- Lecture 6
- Lecture 7, part 1, Lecture 7, part 2
- Lecture 10
- Lecture 11, part 1 Lecture 11, part 2
- Lecture 12, part 1 Lecture 12, part 2
- Lecture 13, part 1 Lecture 13, part 2
- Lecture 14, part 1 Lecture 14, part 2
- Lecture 15, part 1 Lecture 15, part 2 Lecture 15, part 3

- Axioms of geometric algebra [Adobe PDF, PostScript]
- The use of quadratic forms in geometric algebra [Adobe PDF, PostScript]
- The geometric product and derived products [Adobe PDF, PostScript]
- Determinants in geometric algebra [Adobe PDF, PostScript]
- Gram-Schmidt orthogonalization in geometric algebra [Adobe PDF, PostScript]
- What is an imaginary number?
[Adobe PDF, HTML]
*NEW!*

線型代数学 / 長岡亮介著. -- 東京 : 放送大学教育振興会, 2004.3. (放送大学教材)
1891715-1-0411,
ISBN 4-595-23770-7 C1341,第16章

[platex dvi, Adobe PDF, PostScript]

A range of interactive Java applets illustrates selected topics from linear algebra. The applets were created with the interactive geometry software Cinderella. View the applets here. Compare also the VISUAL線形代数 presentation (日本語, in Japanese).

Soli Deo Gloria. Created by
Eckhard Hitzer (Fukui).

Last Modified
07 April 2010.

EMS Hitzer and Prof. R. Nagaoka are not responsible for the content of external internet sites.