JEE Main 2014 (Online) 9th AprilQuestion 1
If $B$ is a $3\times3$ matrix such that $B^{2}=0$, then $\det\left[(I+B)^{50}-50B\right]$ is equal to :
Matrices
Solution
$B^2=0\Rightarrow(I+B)^{50}=I+50B$, so the matrix is $I$ and its determinant is $1$.Matrices - JEE Mathematics question (JEE Main 2014 (Online) 9th April)
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