Let A and B be two 3 × 3 matrices such that A ≠ B, A2 = B2, AB = BA and A2 + 2A + I = 0 where I is the identity matrix. Let |T| denote the determinant of any matrix T. Then
1
|A| ≠ 0 and |A + B| = 0
2
|A + B| ≠ 0 and |A| = 0
3
|A| ≠ 0 and |A + B| ≠ 0
4
|A| = 0 and |A + B| = 0