I know that when changing one row of a matrix, the rank can either increase by one, decrease by one, or stay the same.
So is it true that when changing $n$ rows, the rank can either increase by $n$, decrease by $n$, or stay the same?
I know that when changing one row of a matrix, the rank can either increase by one, decrease by one, or stay the same.
So is it true that when changing $n$ rows, the rank can either increase by $n$, decrease by $n$, or stay the same?
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