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Conic Normal Form of a Real 22 Matrix
Author

Tony Thrall
Organization: UC Berkeley Extension
Department: Math & Statistics
Revision date

2005-04-20
Description

The function conicReduceM2R transforms a real 2 2 matrix via matrix conjugation to an elliptic, hyperbolic, parabolic, or scalar normal form.

Comment: The contributed function conicReduceM2R supplements a note that I am submitting to Mathematics Magazine. The draft note is currently entitled, "Conic Normal Form of a Real 22 Matrix", and was prompted by an example from Wulf Rossmann's book, "Lie Groups: An Introduction through Linear Groups".
Subjects

*Education > College
*Mathematics > Algebra > Linear Algebra
Keywords

ellptic, hyperbolic, parabolic, matrix, similarity, conjugation, canonical, normal form
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conic_normal_form_2D.nb (120.4 KB) - Mathematica Notebook [for Mathematica 5.0]