Show That Matrix $A=\left[\begin{array}{crc}1 / 2 & 3 / 2 & -1 / 2 \\0 & 1 & 0 \\0 & -3 & 1\end{array}\right]$

Short Answer

Show that matrix $A=\left[\begin{array}{crc}1 / 2 & 3 / 2 & -1 / 2 \\0 & 1 & 0 \\0 & -3 & 1\end{array}\right]$ is the inverse of the matrix $B=\left[\begin{array}{lll}2 & 0 & 1 \\0 & 1 & 0 \\0 & 3 & 1\end{array}\right]$