If P = ⎡⎢⎣1 α 3 1 3 3 2 4 4⎤⎥⎦ is the adjoint of a 3x3 matrix A and |A| = 4, then α is equal to:

P = ⎡⎢⎣1 α 3 1 3 3 2 4 4⎤⎥⎦
For 3x3 matrix, |AdjA| = |A|^2
|AdjA| = 16
1(12 - 9) - α(4 - 6) + 3(4 - 6) = 16
3 + 2α - 6 = 16
2α - 3 = 16
2α = 19
α = 11