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Let A = ⎥ ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎢ ⎣ ⎡ α β β α 0 0 0 0 1 and |2A| 3 = 2 21 where α , β ∈ Z, then a value of α is-

1. 5
2. 9
3. 17
4. 3

Correct answer: 5

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