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Let A = ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ α α α − α cos sin sin cos , (a ∈ R) such that A 32 = ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ − 0 1 1 0 . Then a value of α is -

1. 64 π
2. 0
3. 32 π
4. 16 π

Correct answer: 64 π

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