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Adjoint and inverse of a matrix and solution of Linear simultaneous equations by matrix method.

6.    ​Find the inverse of each of the following matrices by using elementary column operation :

$\left(i\right) \left[\begin{array}{cc}-6& 4\\ 2& -2\end{array}\right] \left(ii\right) \left[\begin{array}{cc}5& -4\\ -3& 3\end{array}\right] \left(iii\right) \left[\begin{array}{cc}-3& 5\\ -4& 5\end{array}\right] \left(iv\right) \left[\begin{array}{cc}7& 8\\ 2& 2\end{array}\right] \left(v\right) \left[\begin{array}{cc}\cos \theta & -\sin \theta \\ \sin \theta & \cos \theta \end{array}\right]$