Find the Products AB and BA to Determine Whether B $\mathrm { A } = \left[ \begin{array} { r r } 4 & - 3 \\ - 4 & 0 \end{array} \right]$

Find the products AB and BA to determine whether B is the multiplicative inverse of A.
- $\mathrm { A } = \left[ \begin{array} { r r } 4 & - 3 \\ - 4 & 0 \end{array} \right]$

A)
$\left[ \begin{array} { r } 0 - \frac { 1 } { 4 } \\ - \frac { 1 } { 3 } - \frac { 1 } { 3 } \end{array} \right]$
B)
$\left[ \begin{array} { c r } 0 & \frac { 1 } { 4 } \\ \frac { 1 } { 3 } & - \frac { 1 } { 3 } \end{array} \right]$
C)
$\left[ \begin{array} { r } - \frac { 1 } { 3 } - \frac { 1 } { 3 } \\ 0 - \frac { 1 } { 4 } \end{array} \right]$
D)

$\left[\begin{array}{c}-\frac{1}{3}-\frac{1}{4} \\-\frac{1}{3} 0\end{array}\right]$