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On the elementary symmetric functions of a sum of matrices. (English) Zbl 1275.15005
From the text: In Section 2 we present some results related with the determinant of sum of matrices, whose proof is given in the appendix. In Section 3 obtain the values of $$S_2(A + B)$$ and $$S_3(A + B)$$ by using the definition of the elementary symmetric functions of a matrix, in Section 4 we prove the same identities and also we obtain $$S_4(A + B)$$ by using the Newton-Girard identities, where $$A$$ and $$B$$ are two generic $$n$$-by-$$n$$ matrices.

##### MSC:
 15A15 Determinants, permanents, traces, other special matrix functions 15A16 Matrix exponential and similar functions of matrices 05E05 Symmetric functions and generalizations
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