A formula for the determinant of a sum of matrices |
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Authors: | Christophe Reutenauer Marcel-Paul Schützenberger |
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Institution: | (1) Math-Info, Université du Québec à Montréal, Succursale A, C.P.8888, H3C 3P8 Montréal, Canada |
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Abstract: | We give a formula, involving circular words and symmetric functions of the eigenvalues, for the determinant of a sum of matrices. Theorem of Hamilton-Cayley is deduced from this formula.UQAM and LITPUniversité Paris 7 and LITP. |
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