If $A$ is a square matrix of order $3 \times 3, \operatorname{det} A=3$, then the value of $\operatorname{det}\left(3 A^{-1}\right)$ is

• A

  $\frac{1}{3}$
• B

  $3$
• C

  $27$
• Correct answer
  D

  $9$

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