International Journal of Computational and Applied Mathematics
  • Year: 2010
  • Volume: 5
  • Issue: 2

Generalized Inverses of k-idempotent Matrix

  • Author:
  • S. Krishnamoorthya, T. Rajagopalanb,
  • Total Page Count: 5
  • Page Number: 227 to 231

aDept. of Mathematics, Ramanujan Research Centre, Govt. Arts College (Autonomous), Kumbakonam, Tamilnadu, India.

bUniversity College of Engineering-Villupuram, (A Constituent College of Anna University Chennai)Villupuram, Tamilnadu, India.

E-mail:

AMS classification: 15A57.

Abstract

Various generalized inverses of k-idempotent matrix are determined. For a k-idempotent matrix A, the Moore Penrose inverse and group inverse of A2, A3, KA3, KA, AK, are also found in this paper.

Keywords

k-idempotent matrix, Moore Penrose inverse, group inverse