Which one of the following statements is correct for the given system?
$$y\left( n \right) = {x^2}\left( n \right) + \frac{1}{{{x^2}\left( {n - 1} \right)}}$$

A. The given system is linear, non-causal and shift-variant

B. The given system is non-linear, causal and shift-invariant

C. The given system is non-linear, causal and shift-variant

D. The given system is linear, non-causal and shift-invariant

Answer: Option B