Let A and B be 3 \times 3 real matrices, such that A is symmetric matrix and B is skew-symmetric matrix. Then, the system of linear equations (A^{2} B^{2}-B^{2} A^{2}) X=0, where X is a 3 \times 1 column matrix of unknown variables and O is a 3 \times 1 null matrix, has [24 Feb 2021 Shift 2]