Let A= bmatrix 0 & 2 -2 & 0 bmatrix 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 2021 Mathematics question

Let

A= and (mI+=A

where , are positive real numbers and is the identity matrix. What is equal to?

Answer: (D)

. Since and commute,

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Question ID VK-033641