Mathematics · 2016
JEE Main · 10 April 2016, Shift 1 · Q65
If A= [-4, -1; 3, 1], then the determinant of the matrix ( A^2016-2 A^2015- A^2014) is:
If $\displaystyle A=\left[\begin{array}{cc}-4 & -1 \\ 3 & 1\end{array}\right]$, then the determinant of the matrix $\displaystyle \left(\mathrm{A}^{2016}-2 \mathrm{~A}^{2015}-\mathrm{A}^{2014}\right)$ is :
Official answer
(4)
$\displaystyle -25$
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