Let $A$ be a $3 \times 3$ matrix which has determinant 3 and satisfies the equation $A^2-7 A+4 I=0$. The value of $|\operatorname{det}(A-2 I)|$ is

• A

  $5$
• B

  $1$
• C

  $3$
• Correct answer
  D

  $9$

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