THE GENERALIZED CAYLEY-HAMILTON THEOREM IN N DIMENSIONS

Abstract

For any positive integer n, this paper derives the explicit form of the identity in n matrices, each nxn, which is obtained by complete polarization of the usual Cayley/Hamilton theorem, and which is used repeatedly, for n = 2 or 3, in the determination of an integrity basis for symmetric tensors.

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Document Details

Document Type
Technical Report
Publication Date
Mar 04, 1965
Accession Number
AD0633718

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  • John S. Lew

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  • Brown University

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  • Linear Algebra