Combinatorial proofs of the Newton-Girard and Chapman-Costas-Santos identities
arXiv:1807.11749
Abstract
In this paper we give combinatorial proofs of some well known identities and obtain some generalizations. We give a visual proof of a result of Chapman and Costas-Santos regarding the determinant of sum of matrices. Also we find a new identity expressing permanent of sum of matrices. Besides, we give a graphical interpretation of Newton-Girard identity.
6 pages, 1 figure