1. **Problem Statement:** We are given a 3x3 matrix \(M_1 = \begin{bmatrix} a & b & c \\ d & e & f \\ g & h & i \end{bmatrix}\) with determinant \(\det(M_1) = 8\). We want to find the determinant of the matrix \(M_2 = \begin{bmatrix} a & b & c \\ g & h & i \\ d & e & f \end{bmatrix}\). 2. **Recall the determinant property:** Swapping two rows of a matrix multiplies the determinant by \(-1\). This is a key property of determinants. 3. **Analyze the transformation from \(M_1\) to \(M_2\):** - In \(M_1\), the second row is \((d, e, f)\) and the third row is \((g, h, i)\). - In \(M_2\), these two rows are swapped: the second row is \((g, h, i)\) and the third row is \((d, e, f)\). 4. **Effect on determinant:** Since \(M_2\) is obtained by swapping the second and third rows of \(M_1\), the determinant changes sign: $$\det(M_2) = -\det(M_1)$$ 5. **Calculate the determinant of \(M_2\):** $$\det(M_2) = -8$$ 6. **Answer:** The determinant of the second matrix is \(-8\), which corresponds to option B. **Final answer:** \(-8\)