Original Article
Kyungpook Mathematical Journal 2001; 41(1): 1-15
Published online June 23, 2001
Copyright © Kyungpook Mathematical Journal.
How to Characterize Equalities for the Moore-Penrose Inverse of a Matrix
Yongge Tian
Department of Mathematics and Statistics, Queen's University, Kingston, Ontario, Canada K7L 3N6
We present in this paper some formulas for ranks of matrices and then use them to characterize various equalities related to the Moore-Penrose inverse of a matrix.
Keywords: block matrix, commutativity, EP matrix, idempotent matrix, Moore-Penrose inverse, rank, star-dagger matrix