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Q.

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

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a

1

b

-1

c

±1

d

0

answer is C.

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Detailed Solution

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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