the cayley hamilton theorem attila m at e brooklyn college of the city university of new york march 23 2016 contents 1 introduction 1 1 1 amultivariate polynomial zero on ...
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...The cayley hamilton theorem attila m at e brooklyn college of city university new york march contents introduction amultivariate polynomial zero on all integers is identically polynomials over a ring aformal denition evaluation operator ras subring r determinants and adjugate matrix matrices restatement proof informal discussion formal an example final comments also commutes use versus mention what are really given square writing i for identity same size characteristic determinant which asserts that if one substitutes in this then obtains result true any with entries commutative written course mathematics cuny can be restated as number identities terms namely each entry being resulting by substituting such satised it see subsection therefore proving permissible to consider only eld since reals they there two basic approaches approach considers representing linear transformation vector space consequence studying structure transformations spaces important make sure structures similar rin...