  A reflexive generalized inverse and the Moore-Penrose inverse are often
confused in statistical literature but in fact they have completely different
behaviour in case the population covariance matrix is not a multiple of
identity. In this paper, we study the spectral properties of a reflexive
generalized inverse and of the Moore-Penrose inverse of the sample covariance
matrix. The obtained results are used to assess the difference in the
asymptotic behaviour of their eigenvalues.
