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Canonical Forms of Two by Two by Two Matrices

✍ Scribed by Richard Ehrenborg


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
179 KB
Volume
213
Category
Article
ISSN
0021-8693

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✦ Synopsis


We determine the canonical forms of two by two by two matrices. In order to do so, we present a collection of covariants that separates the canonical forms. The covariants also fulfill a number of identities. Moreover, we show that these canonical forms and covariants are related to those of the binary cubic and Ε½ . Ε½ . skew-symmetric tensors of step 3 in the exterior algebra Ext U , where dim U s 6.


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