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.
- $$A = \left[ \begin{array} { r r } - 2 & 4 \\4 & - 4\end{array} \right] , \quad B = \left[ \begin{array} { l } \frac { 1 } { 2 } \frac { 1 } { 4 } \\\frac { 1 } { 2 } \frac { 1 } { 4 }\end{array} \right]$$

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