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.