Sajal Kumar Mukherjee, Sudip Bera
Published 2018-07-31Version 1
In this paper we give combinatorial proofs of some interesting linear algebraic identities. We also give an almost visual proof of Cramer's rule and a result of Chapman-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.
Comments: 12 pages, 3 figures
Combinatorial proofs of multivariate Cayley--Hamilton theorems
A simple bijective proof of a familiar derangement recurrence
Proofs of some binomial identities using the method of last squares
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