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- W2510921130 abstract "This paper 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 means of the Cayley trans formation. 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 eigenspinoTs which can be further reduced to underlying vector duplets. The eigenvalues are interpreted as rotation op erators, which rotate the underlying vector duplets. The second part of this paper extends and generalizes the treatment to three dimensions. Finally the four-dimensional problem is stated." @default.
- W2510921130 created "2016-09-16" @default.
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- W2510921130 date "2002-01-01" @default.
- W2510921130 modified "2023-09-27" @default.
- W2510921130 title "Chapter 13 Imaginary Eigenvalues and Complex Eigenvectors Explained by Real Geometry" @default.
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