(Solved): If a \( 4 \times 4 \) matrix \( A \) with rows \( v_{1}, v_{2}, v_{3} \), and \( v_{4} \) has dete ...

If a \( 4 \times 4 \) matrix \( A \) with rows \( v_{1}, v_{2}, v_{3} \), and \( v_{4} \) has determinant \( \operatorname{det} A=-6 \), then \( \operatorname{det}\left[\begin{array}{c}3 v_{1}+4 v_{2} \\ 7 v_{1}+7 v_{2} \\ v_{3} \\ v_{4}\end{array}\right]= \)