  We consider an Information-Plus-Noise type matrix where the Information
matrix is a spiked matrix. When some eigenvalues of the random matrix separate
from the bulk, we study how the corresponding eigenvectors project onto those
of the spikes. Note that, in an Appendix, we present alternative versions of
the earlier results of Bai and Silverstein about the lack of eigenvalues
outside the support of the deterministic equivalent measure and of Capitaine
about the exact separation phenomenon, where we remove some technical
assumptions.

Probability