I have this question here:
Let $A$ be a matrix with $10$ columns, $dim$ $Null(A)=5$ and $dim$ $Null(A^T)=3$. How many rows does $A$ have?
$e)$ This cannot be determined from the information given
I tried doing it. I know that:
So that means that
However, I am not really sure how that helps me find the number of rows. I know that $dim$ $Null(A^T)=3$ but how do I incorporate that into this?