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Question

If A is involutary matrix, then which of the following is/are correct?

A
I + A is idempotent
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B
I – A is idempotent
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C
(I + A)(I – A) is singular
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D
I+A3 is idempotent
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Solution

The correct option is C (I + A)(I – A) is singular
A2=I
(I+A)(IA)=IA2+II=O

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