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Question

Mathematics Question on Determinants

If An = [1nn n1n ]\begin{bmatrix} 1-n & n \\\ n & 1-n \\\ \end{bmatrix} then | A1 | + | A2 | + ….. + | A2021 | =

A

-2021

B

(2021)2

C

-(2021)2

D

4042

Answer

-(2021)2

Explanation

Solution

The correct answer is (C) : -(2021)2.