Ok so I know that the following matrix has a determinant of zero, which means it has no inverse matrix because I found out that it has a row of zeros... But, just by looking at it, how can I tell its determinant is zero?

$\displaystyle \begin{bmatrix} 0 & 0 & 1 & 0 \\ 0 & 1 & 0 & 0 \\ 1 & 0 & 0 & 2\\ 0 & 0 & 2 & 0 \end{bmatrix}$

Thank you