If Matrix $A=\left[\begin{array}{cc}1& 2\\ 4& 3\end{array}\right]$ such that $AX=I,$ then $X=$ ________

• A

  $\frac{1}{5}\left[\begin{array}{cc}1& 3\\ 2& -1\end{array}\right]$
• B

  $\frac{1}{5}\left[\begin{array}{cc}4& 2\\ 4& -1\end{array}\right]$
• Correct answer
  C

  $\frac{1}{5}\left[\begin{array}{cc}-3& 2\\ 4& -1\end{array}\right]$
• D

  $\frac{1}{5}\left[\begin{array}{cc}-1& 2\\ -1& 4\end{array}\right]$

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