A row of a matrix is a zero row if it contains only zeros. For example, $[0\ 0\ 0\ 0\ 0]$ is a zero row.

A row of a matrix is non-zero, or a non-zero row if contains at least one entry that is not $0$. For example $[0\ 0\ 3\ 0\ 0]$ is non-zero, and so is $[1\ 2\ 3\ 4\ -5]$.