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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 $(A^2B^2 - B^2A^2)X = O$, where $X$ is a $3 \times 1$ column matrix of unknown variables and $O$ is a $3 \times 1$ null matrix, has:
(1) a unique solution
(2) exactly two solutions
(3) infinitely many solutions
(4) no solution
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