Suppose the matrix A=⎡⎣⎢abcdefghi⎤⎦⎥ has determinant −2 .
Calculate the determinant of \begin{bmatrix} a & b & c \\ g - 4a & h - 4b & i - 4c \\ 4d + 4a & 4e + 4b & 4f + 4c \end{bmatrix} .