Note 0: I use 'minor' to refer to both sub-matrix and its determinant. So when you delete row k and column $l$, you get a minor matrix. Its determinant is a minor determinant. Is this statement true for $k=0$ instead of $k=1, ..., \min\{m,n\}$? Proposition: Let $F$ be a field. For any $A \in F^{...