If A is a $$2$$ × $$2$$ unitary matrix, then |A| is equal to

Correct option is 4none of these

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If A is a $2 \times 2$ unitary matrix, then |A| is equal to

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Correct option is D

Let A=a bc d,A∗=a¯c¯b¯d¯ AA∗=I⇒|A|A∗=1⇒(ad−bc)(a¯d¯−b¯c¯)=1⇒|ad−bc|2=1⇒ad−bc=eiθ for some θ∈R

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If A is a 2 × 2 unitary matrix, then |A| is equal to

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If A is a $2 \times 2$ unitary matrix, then |A| is equal to