Involution Matrices of Real Quaternions

Document Type: Research Articles


1 Necmettin Erbakan University, Kürden, Yeni Meram Cd. No: 262, 42090 Meram/Konya, Turkey

2 Ankara University, Ankara, Turkey


An involution or anti-involution is a self-inverse linear mapping. In this paper, we will present two real quaternion matrices, one corresponding to a real quaternion involution and one corresponding to a real quaternion anti-involution. Moreover, properties and geometrical meanings of these matrices will be given as reflections in R^3.