LIST I

LIST II

 A. If $A^{-1}=\left[\begin{array}{ll}3 & 4 \\ 5 & 6\end{array}\right]$, then A is 

 I. $\left[\begin{array}{ll}5 & 2 \\ 7 & 3\end{array}\right]$ 

 B. If $A=\left[\begin{array}{cc}2 & -1 \\ 3 & 1\end{array}\right]$, then $A A^T$ is 

 II. $\left[\begin{array}{ll}0 & 1 \\ 1 & 0\end{array}\right]$ 

 C. If $A^{-1}=\left[\begin{array}{ll}5 & 7 \\ 2 & 3\end{array}\right]$, then $\left(A^T\right)^{-1}$ is 

 III. $\left[\begin{array}{cc}-3 & 2 \\ \frac{5}{2} & -\frac{3}{2}\end{array}\right]$ 

 D. If $A=\left[a_{i j}\right]_{2 \times 2}$ where $a_{i j}=(i-j)^2$, then A is 

 IV. $\left[\begin{array}{cc}5 & 5 \\ 5 & 10\end{array}\right]$