Let a = to 4 16 -5 3 12 -4 1 2 . we can find the determinant of a by using the row reduction: first we swap the first and second rows to get \begin{bmatrix} 4 & 3 & 1\\ 0 & -5 & -4\\ 16 & 12 & 2 \end{bmatrix} .by what factor does this change the determinant? we multiply the first row by -4 to get \begin{bmatrix} -16 & -12 & -4\\ 0 & -5 & -4\\ 16 & 12 & 2 \end{bmatrix} .by what factor does this change the determinant? we replace the third row by the sum of itself and the first row to get \begin{bmatrix} -16 & -12 & -4\\ 0 & -5 & -4\\ 0 & 0 & -2 \end{bmatrix} .by what factor does this change the determinant? the determinant of the row reduced matrix is the determinant of a is