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.
- $A = \left[ \begin{array} { l l } - 5 & 1 \\ - 7 & 1 \end{array} \right] , \quad B = \left[ \begin{array} { l } \frac { 1 } { 2 } - \frac { 1 } { 2 } \\ \frac { 7 } { 2 } - \frac { 5 } { 2 } \end{array} \right]$

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