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Both Djordjevi&#263; (2007) and Takane et al. (2007) have studied the equivalent conditions for B{1,3}A{1,3}&#x02286;(AB){1,3} and B{1,4}A{1,4}&#x02286;(AB){1,4}. In this note, we derive the necessary and sufficient conditions for B{1,3}A{1,3}&#x02287;(AB){1,3}, B{1,4}A{1,4}&#x02287;(AB){1,4}, B{1,3}A{1,3}=(AB){1,3} and B{1,4}A{1,4}=(AB){1,4}

Further Results on the Reverse Order Law for -Inverse and -Inverse of a Matrix Product