UPSC NDA 2 2021 Mathematics Solved Paper

Question : 30 of 120

Marks: +1, -0

Let
A=[

0	2
−2	0

] and (mI+nA)2=A
where m,n are positive real numbers and I is the identity matrix. What is (m+n) equal to?

[NDA-II 2021]

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m2−4n2	4mn
−4mn	m2−4n2

0	2n
−2n	0

m	2n
−2n	m

m	2n
−2n	m

m	2n
−2n	m