Singular matrix is defined as square matrix with the determinant of zero. The determinant of zero occurs when matrix columns are linearly dependent (i.e. one of the columns can be defined as a linear combination of other columns).
However, some sources also note that the determinant can be zero when there is linear dependency not only among the columns but also among the rows of a square matrix. Therefore, I wanted to ask:
Does linear dependency among columns imply that there is automatically linear dependency among rows of data?
Note: this is a follow-up from an older thread: Singular Matrix and Linear Dependency