# If A = 4 1 3 1 é ù – – ê ú ë û , then the determinant of the matrix (A2016 – 2A2015 – A2014) is :

Question:

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

1. $-175$

2. 2014

3. 2016

4. $-25$

Correct Option: 4

JEE Main Previous Year 1 Question of JEE Main from Mathematics Matrices and Determinants chapter.
JEE Main Previous Year Online April 10, 2016

Solution:

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