Determinantshard
0:00.0

If det(abcdefghi)=5\det \begin{pmatrix} a & b & c \\ d & e & f \\ g & h & i \end{pmatrix} = 5, what is the determinant of (2d2e2fabc3g3h3i)\begin{pmatrix} 2d & 2e & 2f \\ a & b & c \\ 3g & 3h & 3i \end{pmatrix}?