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Let A = ⎥ ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎢ ⎣ ⎡ 2 3 3 11 2 6 2 1 2 and P = ⎥ ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎢ ⎣ ⎡ 5 1 7 2 0 5 0 2 1 . The sum of the prime factors of |P –1 AP –2I| is equal to

1. 26
2. 27
3. 66
4. 23

Correct answer: 26

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