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If A is an orthogonal matrix , then |A| is 

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a
1
b
-1
c
±1
d
0

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detailed solution

Correct option is C

A is an orthogonal matrix ⇒A′A=AA′=In⇒A′A=AA′=In⇒A′∥A=1⇒|A||A|=1⇒A2=1⇒|A|=±1


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