If a square matrix $\mathrm{A}=\left[{\mathrm{a}}_{\mathrm{ij}}\right],{\mathrm{a}}_{\mathrm{ij}}=\frac{{\mathrm{i}}^2-{\mathrm{j}}^2}{4}$ is of even order then

|A| is a perfect square

A is symmetric and |A| = 0

A is a skew - symmetric

A is neither symmetric nor skew symmetric