Necessary and sufficient conditions for reverse order laws B{1,2,i}A{1,2,i}■(AB){1,2,i},i=3,4
Lingsheng Meng · Journal of Lanzhou University of Technology · 2011
It was verified that the inclusion relationship B{1,2,i}A{1,2,i}■(AB){1,2,i},i=3,4 for reverse order laws of {1,2,3}-inverse and {1,2,4}-inverse of the product of two matrixes was respectively equivalent to the identical reverse order laws B{1,2,i}A{1,2,i}=(AB){1,2,i},i=3,4,so that the necessary and sufficient conditions were obtained for holding the foregoing identical reverse order laws.