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PC MATRICES VIA GEOMETRIC CALCULUS: APPLICATION WITH CAYLEY FORMULA
  • EBRU YANIK,
  • YUSUF YAYLI,
  • İsmail Gök
EBRU YANIK
Ankara Universitesi Fen Fakultesi

Corresponding Author:ebruyanik@ankara.edu.tr

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YUSUF YAYLI
Ankara Universitesi Fen Fakultesi
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İsmail Gök
Ankara Universitesi Fen Fakultesi
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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.