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Best answer
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Easy way to solve in MCQ Exams

Sum of Eigen values= sum of diagonal elements =- 5-2 =-7

In given options, only (D) -6,-1 satisfy this. (-6-1=-7)

Hence the answer :)
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| A -  λI | =0

Hence the final equation we get is λ^2 + 7λ + 6 = 0

Solve the final equation to get Eigen values it will be -6 , -1 .

Hence D option should be correct.

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