Let A and B be 3 × 3 real matrices such that A is a symmetric matrix and B is a skew-symmetric matrix. Then the system of linear equations \((A^2B^2 - B^2A^2) X = O\), where \(X\) is a 3 × 1 column matrix of unknown variables and \(O\) is a 3 × 1 null matrix, has :
1
no solution
2
a unique solution
3
exactly two solutions
4
infinitely many solutions
5
Question Not Attempted