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| In [9], the authors have studied the necessary and sufficient conditions for B{1,2,3}A{1,2,3}subseteq (AB){1,2,3} and B{1,4}A{1,2,4}subseteq (AB){1,2,4}. In this note, we obtain the necessary and sufficient conditions for B{1,2,3}A{1,2,3}supseteq (AB){1,2,3},B{1,2,3}A{1,2,3}=(AB){1,2,3},
B{1,4}A{1,2,4}supseteq (AB){1,2,4}mbox{and}B{1,4}A{1,2,4}=(AB){1,2,4}by using the expressions of maximal and minimal ranks of generalized Schur complement.
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| Keywords:reverse order laws;generalized inverse;maximal ranks;minimal ranks;generalized Schur Complement |
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