Let A and B are non singular square matrices of order  $3\times 3$  such that B is adjoint of A and $A^{-1}{A}^T=\left|A\right|B^{-1}$. Match List-I with List-II and select the correct answer using the code given below the list .

	LIST-I		LIST-II
A)	$\left|A\right|$  is equal to	P)	1
B)	$\left|B\right|$ is equal to	Q)	A= I
C)	If A is symmetric matrix then	R)	A3 = I
D)	If A is orthogonal matrix then	S)	B = I
		T)	B3 = I
		U)	$-1$

Where  $\left|X\right|$ denotes determinant of matrix X and I is identity matrix.