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Question

If $A_n=\left[\begin{array}{cc}1-n & n \\ n & 1-n\end{array}\right]$, then $\left|A_1\right|+\left|A_2\right|+\ldots .\left|A_{2021}\right|=$

$-2021$
$-(2021)^2$
$(2021)^2$
$4042$

Solution

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