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Question

If A is an orthogonal matrix, then

A
|A|=0
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B
|A|=±1
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C
|A|=±2
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D
None of these
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Solution

The correct option is B |A|=±1
Since, A is an orthogonal matrix
AA=AA=I
or AA=I
|AA|=|I|
|A||A|=1
|A|2=1|A|=|A|
|A|=±1

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