jee-main 2016 Q79

jee-main · India · 10apr Matrices Matrix Power Computation and Application

If $A = \left[ \begin{array} { c c } - 4 & - 1 \\ 3 & 1 \end{array} \right]$, then the determinant of the matrix $\left( A ^ { 2016 } - 2 A ^ { 2015 } - A ^ { 2014 } \right)$ is :
(1) $- 175$
(2) 2014
(3) 2016
(4) $- 25$

If $A = \left[ \begin{array} { c c } - 4 & - 1 \\ 3 & 1 \end{array} \right]$, then the determinant of the matrix $\left( A ^ { 2016 } - 2 A ^ { 2015 } - A ^ { 2014 } \right)$ is :\\
(1) $- 175$\\
(2) 2014\\
(3) 2016\\
(4) $- 25$

Paper Questions

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