Determine Whether Matrix B Is the Inverse of Matrix a by Finding

Multiple Choice

Determine whether matrix B is the inverse of matrix A by finding the product AB.
- $$A = \left[ \begin{array} { r r r } 2 & - 1 & 0 \\- 1 & 1 & - 2 \\1 & 0 & - 1\end{array} \right] , B = \left[ \begin{array} { r r r } 1 & - 1 & 2 \\- 3 & - 2 & 4 \\- 1 & 1 & 1\end{array} \right]$$

A) $B \neq A ^ { - 1 }$
B) $B = A ^ { - 1 }$