If $B$ is the inverse of $a$ third order matrix $A$ and $\operatorname{det} B=k$, then $(\operatorname{adj}(\operatorname{adj} A))^{-1}=$

• Correct answer
  A

  kB
• B

  $\frac{1}{\mathrm{k}} \mathrm{B}$
• C

  $\mathrm{kB}^{-1}$
• D

  $\mathrm{B}+\mathrm{kI}$

Hence, the correct answer is option: 'A'.