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

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Correct option is A

Since the matrix A is orthogonalA′A = AA′ = In⇒ |A′A| = |AA′| = |In|⇒ |A′| |A| = 1⇒ |A| |A| = 1or |A|2 = 1∴ |A| = ±1

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