Find the Products AB and BA to Determine Whether B

Multiple Choice

Find the products AB and BA to determine whether B is the multiplicative inverse of A.
- $$A = \left[ \begin{array} { l l } 10 & 1 \\- 1 & 0\end{array} \right] , \quad B = \left[ \begin{array} { r r } 0 & 1 \\- 1 & 10\end{array} \right]$$

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