The fact that the row rank of a matrix is the same as the column rank is quite surprising (to me atleast, hopefully to you too!).
I am looking for unexpected applications of this fundamental fact, and would prefer if the applications are easily accessible to laymen, say like applications in recreational math. Does not have to be completely basic, though, it is targeted to bright high school students.
Related question on this site: Looking for an intuitive explanation why the row rank is equal to the column rank for a matrix
This is a temporary computer, so I might not be able to respond. So thank you all in advance.
