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Necessary and sufficient conditions for a schur complement of a con-s-k-EP matrix to be con-s-k-EP are determined. Further it is shown that in a con-s-k-EP r matrix, every secondary sub matrix of rank "r" is con-s-k-EP r . We have also discussed the way of expressing a matrix of rank r as a product of con-s-k-EP r matrices. Necessary and sufficient conditions for products of con-s-k-EP r partitioned matrices to be con-s-k-EP r are given.doi:10.4236/alamt.2012.21001 fatcat:g2sz47e5ibgkjode7hmfg2iazu