Rank-one determinantal variety
= Rank-one determinantal variety
The variety of $m\times n$ matrices of rank at most one has dimension $m+n-1$. For $m,n\geq2$, its only singular point is the zero matrix.
= Rank-one determinantal variety
The variety of $m\times n$ matrices of rank at most one has dimension $m+n-1$. For $m,n\geq2$, its only singular point is the zero matrix.