Actually, I've already seen the solution, but I still don't understand. The solution used partitioned matrices. Plus, somebody teach me how to put mathematical symbols by mobile..

How do I prove $\operatorname{rank}(ABC)\geq \operatorname{rank}(AB)+\operatorname{rank}(BC)-\operatorname{rank}(B)$

  • $\begingroup$ Math symbols by mobile is done exactly the same way as math symbols otherwise on this site: by following the procedure outlined on this page. $\endgroup$
    – Arthur
    Oct 25, 2017 at 14:28
  • $\begingroup$ Perhaps you could include the solution so that people can help with that. $\endgroup$ Oct 25, 2017 at 14:31
  • $\begingroup$ You mention partitioned matrices in the solution, does $ABC$ refer to the product of $A$, $B$, and $C$ or the block matrix $\begin{bmatrix}A&B&C\end{bmatrix}$? $\endgroup$ Oct 25, 2017 at 14:32


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