Kecilioglu, OsmanGundogan, Halit2020-06-252020-06-252017Keçilioğlu, O. & Gündoğan, H. (2017). Pseudo matrix multiplication . Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 66 (2) , 37-43.1303-5991https://doi.org/10.1501/Commua1_0000000798https://hdl.handle.net/20.500.12587/7052In this paper, a new matrix multiplication is defined in R-m,R-n x R-n,R-p by using scalar product in R-n, where R-m,R-n is set of matrices of m rows and n columns. With this multiplication it has been shown that R-n,R-n is an algebra with unit. By considering this new multiplication we define eigenvalues and eigenvectors of square n x n matrix A and also present some applications.eninfo:eu-repo/semantics/openAccessp-matrix multiplicationeigenvalueeigenvectorArticle662374310.1501/Commua1_0000000798WOS:000407117100003N/A