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Mathematics · 2021

JEE Main · 17 March 2021, Shift 1 · Q82

If A= [2, 3; 0, -1], then the value of det (A^4)+ det (A^10-( Adj (2 A))^10) is equal to \ \ \ \.

If $\displaystyle A=\left[\begin{array}{rr}2 & 3 \\ 0 & -1\end{array}\right]$, then the value of $\displaystyle \operatorname{det}\left(A^4\right)+\operatorname{det}\left(A^{10}-(\operatorname{Adj}(2 A))^{10}\right)$ is equal to \_\_\_\_.
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.