Suppose A is any 3 \times 3 non-singular matrix and (A-3 I)(A-5 I)=0, where I=I_3 and O=O_3. If \alpha A +\beta A ^{-1}=4 I, then \alpha+\beta is equal to :- [15 Apr 2018 Shift 2]

Matrices and Determinants Part 1

Section: Mathematics

Question : 44 of 100

Marks: +1, -0

Suppose A is any 3×3 non-singular matrix and (A−3I)(A−5I)=0, where I=I3 and O=O3. If αA+βA−1=4I, then α+β is equal to :-

[15 Apr 2018 Shift 2]

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