Let A, B, C, D be non singular matrices of order $3\times 3$ such that $\left(A{A}^T\right)B{C}^2=B^T$ and $C^2=I$ and D is an orthogonal matrix such that $A^T$ and D commute with each other and $D^T{A}^{T}D=A^{-1},$ then 

	Column_I		Column_II
A)	If  $B=B^{-1}$, then $\left|B^{2018}C\right|$ can be equal to	P)	-1
B)	If ${\left(AC{A}^T\right)}^{2019}=A{C}^K{A}^T$ then k can be equal to	Q)	0
C)	$\left|AC{A}^T\right|$ can be equal to	R)	2
D)	$\left|B{B}^T{\left(B^{-1}\right)}^2\right|+\left|{\left(A{A}^T\right)}^{2018}\right|$  is equal to	S)	3
		T)	4