Answer
$12$
Work Step by Step
We know that for determinants:
(i) if two rows/columns were interchanged, the value of the original determinant gets multiplied by $-1$
(ii) if any row/column was multiplied by a constant $k$, the value of the original determinant gets multiplied by $k$
(iii) if any row/column was multiplied by a constant $k$ ($k\ne0$), and then this is added to another row/column, the value of the original determinant remains unchanged
Hence here because row $3$ is multiplied by $-3$, according to Rule (ii) the value of the determinant becomes $-3(4)=-12$.
Then row $2$ and $3$ were interchanged, hence according to Rule (i) the value of the determinant becomes $(-1)(-12)=12$.