Mathematics · 2014
JEE Main · 9 April 2014, Shift 1 · Q66
If B is a 3 × 3 matrix such that B^2=0, then det. [( I + B )^50-50 B ] is equal to:
If $\displaystyle B$ is a $\displaystyle 3 \times 3$ matrix such that $\displaystyle B^2=0$, then det. $\displaystyle \left[(\mathrm{I}+\mathrm{B})^{50}-50 \mathrm{~B}\right]$ is equal to :
Official answer
(1)
$\displaystyle 1$
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JEE Main 2014 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.