Suppose A is any 3 × 3 non-singular matr...

Suppose A is any 3 × 3 non-singular matrix and (A -3I) (A-5I)=0, where `I=I_3` and `O=O_3` . If `alphaA + betaA^(-1)` =4I , then `alpha +beta` is equal to :

A

13

B

7

C

12

D

8

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The correct Answer is:

D

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