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

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