Suppose $A$ and $B$ are $m \times n$ matrices. What is the minimum value of $\operatorname{rank} (A+B)$? And how do you deduce that minimum value?
Edit: I'm specifically looking for case where $rank(A) \neq rank(B)$
Suppose $A$ and $B$ are $m \times n$ matrices. What is the minimum value of $\operatorname{rank} (A+B)$? And how do you deduce that minimum value?
Edit: I'm specifically looking for case where $rank(A) \neq rank(B)$
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