Let A = \(\left[\begin{array}{ccc}1 & \sin θ & 1 \\−\sin θ & 1 & \sin θ \\−1 &−\sin θ & 1\end{array}\right]\), where 0 ≤ θ  ≤ 2π, then:

1
Det A = 0
2
Det A ∈ [2, 4]
3
Det A belongs to (1, 4)
4
More than one of the above
5
None of the above

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