Sigorski's theorem on the determinant of the sum of matrices and diakoptics
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Abstract
Sigorskiy’s Theorem for Sum of Matrices Determinant and Diacoptics. The basics and application of the Sigorskiy’s Theorem for sum of matrices are examined. The new interpretations of the theorem are given for the binary vectors basis and schematic minors that makes more efficient the use of the theorem for the matrix algebra problems analytical solution and symbolic-numerical analysis of electrical circuits using decomposition
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