Find the Products AB and BA to Determine Whether B $$A = \left[ \begin{array} { l l } 5 & 3 \\3 & 2\end{array} \right] , \quad B = \left[ \begin{array} { r r } 2 & - 3 \\- 3 & 5\end{array} \right]$$

Multiple Choice

Find the products AB and BA to determine whether B is the multiplicative inverse of A.
- $$A = \left[ \begin{array} { l l } 5 & 3 \\3 & 2\end{array} \right] , \quad B = \left[ \begin{array} { r r } 2 & - 3 \\- 3 & 5\end{array} \right]$$

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