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Let A = ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ β − α 6 1 , α > 0, such that det(A) = 0 and α + β = 1. If I denotes 2 × 2 identity matrix, then the matrix, (I + A) 8 is :

1. ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ − − 509 1530 255 766
2. ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ − − 127 514 64 257
3. ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ − − 1 6 1 4
4. ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ − − 1024 2024 511 1025

Correct answer: ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ − − 509 1530 255 766

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