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Solve this following

Question:

If $|A|=3$ and $A^{-1}=\left(\begin{array}{cc}3 & -1 \\ \frac{-5}{3} & \frac{2}{3}\end{array}\right)$ then adj $A=?$

A. $\left(\begin{array}{cc}9 & 3 \\ -5 & -2\end{array}\right)$

B. $\left(\begin{array}{cc}9 & -3 \\ -5 & 2\end{array}\right)$

c. $\left(\begin{array}{cc}-9 & 3 \\ 5 & -2\end{array}\right)$

D. $\left(\begin{array}{rr}9 & -3 \\ 5 & -2\end{array}\right)$

Solution:

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