If $A = \begin{bmatrix} -4 & -1 \\ 3 & 1 \end{bmatrix},$ then the determinant of the matrix $(A^{2016} - 2A^{2015} - A^{2014})$ is :

Question

$\begin{array}{1 1}(1)\; 2014\\ (2)\; −175\\ (3)\; 2016\\ (4)\; −25 \end{array}$