Consider the following statements:
1. If \(P=\begin{pmatrix} 1 & α &3 \\ 1& 3&3 \\ 2& 4 & 4 \\ \end{pmatrix}\) is the adjoint of a 3 × 3 matrix A and |A| = 4, then α = 11
2. If A and B are symmetric matrices, then AB - BA is a symmetric matrix.
3. If A is a square matrix such that A2 = I, then (A - I)3 + (A + I)3 - 7A = A.
Which of the above statements is/are correct?
1
1 and 2 only
2
2 and 3 only
3
1 and 3 only
4
1, 2 and 3