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Question

If A is involuntory matrix and I is unit matrix of same order, then (I-A)(I+A) is


A

Zero matrix

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B

A

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C

I

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D

2A

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Solution

The correct option is A

Zero matrix


(I-A)(I+A) = I - A2 = O ,

{Since A is involuntory, therefore A2 = I }


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