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Question

For a square matrix A, if A3=O, then I+A+A2 is equal to

A
I+A
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B
(I+A)1
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C
IA
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D
(IA)1
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Solution

The correct option is D (IA)1
A3=O
IA3=I
(IA)(I+A+A2)=I
IA and I+A+A2 are inverse of each other.
I+A+A2=(IA)1

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