Determine If the Given Pair of Matrices Is an Inverse $A = \left[ \begin{array} { c c c } - 1 & - 1 & 1 \\- 2 & - 1 & - 1 \\- 1 & 0 & - 1\end{array} \right]$

Essay

Determine if the given pair of matrices is an inverse pair. Explain your work.
​ $A = \left[ \begin{array} { c c c } - 1 & - 1 & 1 \\- 2 & - 1 & - 1 \\- 1 & 0 & - 1\end{array} \right]$ , $B = \left[ \begin{array} { c c c } - 1 & 1 & - 2 \\1 & - 2 & 3 \\1 & - 1 & 1\end{array} \right]$