Abstract

The aim of this paper is to investigate relation between PC matrices and G-orthogonal matrices. For this purpose, first of all, we define G- orthogonal and G-skew-symmetric matrices according to geometric calculus. Then, we give a relation between G-orthogonal matrices and PC matrices using the useful diagram constructed by Cayley formula in real mean. Finally we define G-Cayley formula according to G-calculus and we verify our theory with some examples.