Suppose that det(a) = a b c d e f g h i = 2 and find the determinant of the given matrix. a b c −4d −4e −4f a + g b + h c + i

I'll go out on a limb and suppose you're given the matrix



and you're asked to find the determinant of , where



and given that .

There are two properties of the determinant that come into play here:

(1) Whenever a single row/column is scaled by a constant , then the determinant of the matrix is scaled by that same constant;

(2) Adding/subtracting rows does not change the value of the determinant.

Taken together, we have that