Find the inverse of each of the following matrices.

$\left[\begin{array}{ccc}2& 0& -1\\ 5& 1& 0\\ 0& 1& 3\end{array}\right]$

Find the inverse of the following matrices and verify that $A^{-1}A=I_3$.

$\left[\begin{array}{lll}1& 3& 3\\ 1& 4& 3\\ 1& 3& 4\end{array}\right]$

Find the inverse of the following matrices and verify that $A^{-1}A=I_3$.

$\left[\begin{array}{lll}2& 3& 1\\ 3& 4& 1\\ 3& 7& 2\end{array}\right]$ 

Find the inverse of the following matrix and verify that $(AB{)}^{-1}=B^{-1}{A}^{-1}$

 $A=\left[\begin{array}{cc}3& 2\\ 7& 5\end{array}\right]$ and $B=\left[\begin{array}{cc}4& 6\\ 3& 2\end{array}\right]$

Find the inverse of the following matrix and verify that

$(AB{)}^{-1}=B^{-1}{A}^{-1}:$

$A=\left[\begin{array}{ll}2& 1\\ 5& 3\end{array}\right]\text{ and }B=\left[\begin{array}{ll}4& 5\\ 3& 4\end{array}\right]$