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in Matrices & determinants by (54.8k points)

Suppose A is any 3 × 3 non-singular matrix and (A – 3I)(A – 5I) = O, where I = I3 and O = O3. If αA + βA−1 = 4I, then α + β is equal to 

(A) 8 

(B) 7 

(C) 13 

(D) 12

1 Answer

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by (52.5k points)
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Best answer

Answer is (A) 8

 

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