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Question

If A2A+I=0, then the inverse ofA is

A
I - A
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B
A-I
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C
A
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D
A + I
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Solution

The correct option is A I - A
Given, A2A+I=0
Multiply by A1
A1AAA1A+A1I=0
IAI+A1=0
A1=IA

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