Let $a, b$ and $c$ are the roots of the equation $x^3-7x^2+9x-13=0$ and $A$ and $B$ are two matrices given by $A=\left[\begin{array}{ccc}a& b& c\\ b& c& a\\ c& a& b\end{array}\right]$ and $B=\left[\begin{array}{ccc}bc-a^2& ca-b^2& ab-c^2\\ ca-b^2& ab-c^2& bc-a^2\\ ab-c^2& bc-a^2& ca-b^2\end{array}\right],$ then the value of $\left|A\right|\left|B\right|$ is equal to

• A

  $-154$
• Correct answer
  B

  $-{\left(154\right)}^3$
• C

  $-22$
• D

  $-{\left(22\right)}^3$

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