A = \begin{bmatrix} a & b & c \\[0.3em] d & e & f \\[0.3em] g & h & i \end{bmatrix} B = \begin{bmatrix} g & h & i \\[0.3em] a & b & c \\[0.3em] 2d & 2e & 2f \end{bmatrix},
If det(B) = $6$, What is det(A)? First, I obtained A by: 1) $R_{1}$ <-> $R_{3}$ 2) $R_{2}$ <-> $R_{3}$ 3) $2R_{2}$. Then, by using determinant properties I got that det(A) = 12. I am not too sure if I am using the determinant properties correctly to obtain det(A).