If $A=\left[\begin{array}{cc}-4 & -1 \ 3 & 1\end{array} ight]$, the determinant of the matrix $\le

Question

If $A=\left[\begin{array}{cc}-4 & -1 \ 3 & 1\end{array}ight]$, the determinant of the matrix $\left(A^{2016}-2 A^{2015}-A^{2014}ight)$ is

Professor PC Thomas Classes · Answer

Cayley-Hamilton theorem.