If $\left|\begin{array}{ccc}1 & 2 & 3-\lambda \\ 0 & -1-\lambda & 2 \\ 1-\lambda & 1 & 3\end{array}\right|=\mathrm{A} \lambda^3+\mathrm{B} \lambda^2+\mathrm{C} \lambda+\mathrm{D}$, then $\mathrm{D}+\mathrm{A}=$

• A

  $1$
• B

  $-4$
• C

  $-5$
• Correct answer
  D

  $3$

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