Find the Products AB and BA to Determine Whether B $$A = \left[ \begin{array} { r r } - 6 & 0 \\5 & 3\end{array} \right]$$

Multiple Choice

Find the products AB and BA to determine whether B is the multiplicative inverse of A.
- $$A = \left[ \begin{array} { r r } - 6 & 0 \\5 & 3\end{array} \right]$$

A)
$\left[ \begin{array} { c c } - \frac { 1 } { 6 } & 0 \\ \frac { 5 } { 18 } & \frac { 1 } { 3 } \end{array} \right]$
B)
$\left[\begin{array}{c}-\frac{1}{6} 0 \\-\frac{5}{18} \frac{1}{3}\end{array}\right]$
C) No inverse
D)

$\left[ \begin{array} { c c } \frac { 1 } { 3 } & 0 \\ \frac { 5 } { 18 } & - \frac { 1 } { 6 } \end{array} \right]$