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Let A be 3×3 matrix such that A is orthogonal and idempotent, then

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a
A must be symmetric
b
det⁡(A)=−1
c
A+A−1=1
d
none of these

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detailed solution

Correct option is A

AA′=I and  A2=I∴AA′=A2⇒A−1AA′=A−1A2⇒A′=A


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Let A be an invertible matrix. Which of the following is not true?


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