Let \(A\) and \(B\) are \(3 \times 3\) real matrices such that \(A\) is symmetric matrix and \(B\) is skew-symmetric mat…

Let \(A\) and \(B\) are \(3 \times 3\) real matrices such that \(A\) is symmetric matrix and \(B\) is skew-symmetric matrix. Then the system of linear equations \(\left(A^2 B^2-B^2 A^2\right) X=O\), where \(X\) is a \(3 \times 1\) column matrix of unknown variables and \(O\) is a \(3 \times 1\) null matrix has:

[JEE Main 2021, 24 Feb (Shift 2)]