If $A$ is an $3\times 3$ non- singular matrix, such that $A{A}^{\text{'}}=A^{\text{'}}A$ and $B=A^{-1}{A}^{\text{'}}$, then $B{B}^{\text{'}}$ equals to

• A

  ${\left(B^{-1}\right)}^{\text{'}}$
• B

  $I+B$
• Correct answer
  C

  $I$
• D

  $B^{-1}$

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