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Mathematics · 2022

JEE Main · 25 June 2022, Shift 1 · Q11

Let A = [0, -2; 2, 0]. If M and N are two matrices given by M =Σ_k =1^10 A^2 k and N =Σ_k =1^10 A^2 k -1 then MN^2 is:

Let $\displaystyle \mathrm{A}=\left[\begin{array}{rr}0 & -2 \\ 2 & 0\end{array}\right]$. If M and N are two matrices given by $\displaystyle \mathrm{M}=\sum_{\mathrm{k}=1}^{10} \mathrm{~A}^{2 \mathrm{k}}$ and $\displaystyle \mathrm{N}=\sum_{\mathrm{k}=1}^{10} \mathrm{~A}^{2 \mathrm{k}-1}$ then $\displaystyle \mathrm{MN}^2$ is :
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.