Question

Find the inverse of the matrix (if it exists)
$A=\left[\begin{array}{cc}2& -2\\ 4& 3\end{array}\right]$

Answer 1

We know, Inverse of $A$
$\left|\begin{array}{cc}a& b\\ c& d\end{array}\right|=$ $\frac{1}{ad-bc}\left|\begin{array}{cc}d& -b\\ -c& a\end{array}\right|$
$\therefore$
$\therefore$ inverse of the given matrix is
$\left|\begin{array}{cc}2& -2\\ 4& 3\end{array}\right|=$ $\frac{1}{14}\left|\begin{array}{cc}3& 2\\ -4& 2\end{array}\right|$