Teaching UP PGT Mock Test Series 2024 Mathematics Determinants Evaluation of Determinants

Let A = \(\left[ {\begin{array}{*{20}{c}} 1&{\sin α }&1\\ { - \sin α }&1&{\sin α }\\ { - 1}&{ - \sin α }&1 \end{array}} \right]\), where 0 ≤ α ≤ 2π, then :

1
|A| = 0
2
|A| ∈ (2, ∞)
3
|A| ∈ (2, 4)
4
|A| ∈ [2,4]
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