E.M.S. Hitzer

Conference Poster:
*Applied Geometrical Algebras in
Computer Science and Engineering, AGACSE 2001,Cambridge, UK.*

**Abstract:**
This poster first reviews how anti-symmetric matrices in two dimensions yield imaginary
eigenvalues and complex eigenvectors. It is shown how this carries on to rotations by
exponentiation. Then
a real geometric interpretation is given to the eigenvalues and eigenvectors
by means of real geometric algebra.
The eigenvectors are seen to be *two-component (eigen-)spinors* which can be further reduced to underlying
vector duplets. The eigenvalues are interpreted as rotation operators, which rotate the underlying vector
duplets. The second and third parts of this poster extend and generalize the treatment to three and four dimensions.
interpreted as rotation operators, which rotate the underlying vector
duplets. The second and third parts of this poster extend and generalize
the treatment to three and four dimensions.

[Postscript]
62k, gzip compressed

AGACSE 2001 proceedings paper

[Geometric Calculus Japan index]