I want to show that $\text {rank} ( AB)\le \min(\text{rank} B, \text{rank} A) $ and when the equality occurs?
Please help me with this problem by giving hints, solving, or suggesting a book.
Thanks
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Probably a dup: http://math.stackexchange.com/questions/48989/how-to-prove-textrankab-leq-min-textranka-textrankb – Elimination Jul 22 '14 at 13:17