### On the Reverse Order Law'' Related to the Generalized Inverse of Matrix ProductsOn the Reverse Order Law'' Related to the Generalized Inverse of Matrix Products

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 Author Erdelyi, Ivan Source ACM Digital Library Content type Text Publisher Association for Computing Machinery (ACM) File Format PDF Copyright Year ©1966 Language English
 Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science Abstract The “reverse order law” related to ordinary inverses of matrix products, i.e., $(\textit{AB})-1$ = $\textit{B}-1\textit{A}-1,$ is generally not transferable to the generalized inverse. There are, however, applications in which the reverse order law related to the generalized inverse reveals interesting properties in certain classes of matrices.In this paper, some necessary and sufficient conditions for the reverse order property to hold are given. ISSN 00045411 Age Range 18 to 22 years ♦ above 22 year Educational Use Research Education Level UG and PG Learning Resource Type Article Publisher Date 1966-07-01 Publisher Place New York e-ISSN 1557735X Journal Journal of the ACM (JACM) Volume Number 13 Issue Number 3 Page Count 5 Starting Page 439 Ending Page 443

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Source: ACM Digital Library